TSTP Solution File: NLP266_4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Mon May 22 15:39:54 EDT 2023

% Result   : Theorem 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  157 (   9 unt;  16 typ;   0 def)
%            Number of atoms       :  934 (   0 equ)
%            Maximal formula atoms :   26 (   6 avg)
%            Number of connectives : 1028 ( 442   ~; 437   |;  98   &)
%                                         (   5 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :  207 ( 207 fml;   0 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   34 (  13   >;  21   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  17 usr;   9 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-4 aty)
%            Number of variables   :  423 (; 374   !;  49   ?; 324   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    '$ki_world': $tType ).

tff(func_def_0,type,
    '$ki_local_world': '$ki_world' ).

tff(func_def_3,type,
    sK0: ( '$ki_world' * $i * $i * $i ) > $i ).

tff(func_def_4,type,
    sK1: '$ki_world' > $i ).

tff(func_def_6,type,
    sK3: '$ki_world' > $i ).

tff(func_def_7,type,
    sK4: '$ki_world' ).

tff(func_def_8,type,
    sK5: ( $i * $i * $i * $i ) > '$ki_world' ).

tff(func_def_10,type,
    sK7: ( $i * $i ) > '$ki_world' ).

tff(pred_def_1,type,
    '$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).

tff(pred_def_2,type,
    number: ( '$ki_world' * $i * $i ) > $o ).

tff(pred_def_3,type,
    string: ( '$ki_world' * $i ) > $o ).

tff(pred_def_4,type,
    in: ( '$ki_world' * $i * $i * $i ) > $o ).

tff(pred_def_5,type,
    do: ( '$ki_world' * $i * $i * $i ) > $o ).

tff(pred_def_6,type,
    entry_box: ( '$ki_world' * $i ) > $o ).

tff(pred_def_7,type,
    userid: ( '$ki_world' * $i * $i ) > $o ).

tff(pred_def_8,type,
    '$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).

tff(f259,plain,
    $false,
    inference(avatar_sat_refutation,[],[f169,f177,f223,f229,f253,f258]) ).

tff(f258,plain,
    ( ~ spl8_6
    | spl8_12 ),
    inference(avatar_contradiction_clause,[],[f257]) ).

tff(f257,plain,
    ( $false
    | ~ spl8_6
    | spl8_12 ),
    inference(subsumption_resolution,[],[f256,f85]) ).

tff(f85,plain,
    entry_box(sK4,sK2),
    inference(resolution,[],[f51,f44]) ).

tff(f44,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | entry_box(X1,sK2) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,plain,
    ( '$ki_exists_in_world_$i'('$ki_local_world',sK2)
    & ! [X1: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X1)
        | ( entry_box(X1,sK2)
          & number(X1,sK2,one) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f17,f29]) ).

tff(f29,plain,
    ( ? [X0] :
        ( '$ki_exists_in_world_$i'('$ki_local_world',X0)
        & ! [X1: '$ki_world'] :
            ( ~ '$ki_accessible'('$ki_local_world',X1)
            | ( entry_box(X1,X0)
              & number(X1,X0,one) ) ) )
   => ( '$ki_exists_in_world_$i'('$ki_local_world',sK2)
      & ! [X1: '$ki_world'] :
          ( ~ '$ki_accessible'('$ki_local_world',X1)
          | ( entry_box(X1,sK2)
            & number(X1,sK2,one) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f17,plain,
    ? [X0] :
      ( '$ki_exists_in_world_$i'('$ki_local_world',X0)
      & ! [X1: '$ki_world'] :
          ( ~ '$ki_accessible'('$ki_local_world',X1)
          | ( entry_box(X1,X0)
            & number(X1,X0,one) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ? [X0] :
      ( '$ki_exists_in_world_$i'('$ki_local_world',X0)
      & ! [X1: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X1)
         => ( entry_box(X1,X0)
            & number(X1,X0,one) ) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ? [X6] :
      ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => ( entry_box(X0,X6)
            & number(X0,X6,one) ) )
      & '$ki_exists_in_world_$i'('$ki_local_world',X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

tff(f51,plain,
    '$ki_accessible'('$ki_local_world',sK4),
    inference(cnf_transformation,[],[f38]) ).

tff(f38,plain,
    ( ! [X1] :
        ( ~ '$ki_exists_in_world_$i'(sK4,X1)
        | ! [X2] :
            ( ~ '$ki_exists_in_world_$i'(sK4,X2)
            | ! [X3] :
                ( ! [X4] :
                    ( ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
                      & '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),sK6(X1,X2,X3,X4))
                      & do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
                      & '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) )
                    | ~ '$ki_exists_in_world_$i'(sK4,X4)
                    | ( '$ki_accessible'(sK4,sK7(X1,X2))
                      & ( ~ number(sK7(X1,X2),X2,one)
                        | ~ entry_box(sK7(X1,X2),X2)
                        | ~ userid(sK7(X1,X2),u,X1) ) ) )
                | ~ '$ki_exists_in_world_$i'(sK4,X3) ) ) )
    & '$ki_accessible'('$ki_local_world',sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f33,f37,f36,f35,f34]) ).

tff(f34,plain,
    ( ? [X0: '$ki_world'] :
        ( ! [X1] :
            ( ~ '$ki_exists_in_world_$i'(X0,X1)
            | ! [X2] :
                ( ~ '$ki_exists_in_world_$i'(X0,X2)
                | ! [X3] :
                    ( ! [X4] :
                        ( ? [X5: '$ki_world'] :
                            ( ? [X6] :
                                ( ~ in(X5,X1,X2,X6)
                                & '$ki_exists_in_world_$i'(X5,X6)
                                & do(X5,X4,X3,X6) )
                            & '$ki_accessible'(X0,X5) )
                        | ~ '$ki_exists_in_world_$i'(X0,X4)
                        | ? [X7: '$ki_world'] :
                            ( '$ki_accessible'(X0,X7)
                            & ( ~ number(X7,X2,one)
                              | ~ entry_box(X7,X2)
                              | ~ userid(X7,u,X1) ) ) )
                    | ~ '$ki_exists_in_world_$i'(X0,X3) ) ) )
        & '$ki_accessible'('$ki_local_world',X0) )
   => ( ! [X1] :
          ( ~ '$ki_exists_in_world_$i'(sK4,X1)
          | ! [X2] :
              ( ~ '$ki_exists_in_world_$i'(sK4,X2)
              | ! [X3] :
                  ( ! [X4] :
                      ( ? [X5: '$ki_world'] :
                          ( ? [X6] :
                              ( ~ in(X5,X1,X2,X6)
                              & '$ki_exists_in_world_$i'(X5,X6)
                              & do(X5,X4,X3,X6) )
                          & '$ki_accessible'(sK4,X5) )
                      | ~ '$ki_exists_in_world_$i'(sK4,X4)
                      | ? [X7: '$ki_world'] :
                          ( '$ki_accessible'(sK4,X7)
                          & ( ~ number(X7,X2,one)
                            | ~ entry_box(X7,X2)
                            | ~ userid(X7,u,X1) ) ) )
                  | ~ '$ki_exists_in_world_$i'(sK4,X3) ) ) )
      & '$ki_accessible'('$ki_local_world',sK4) ) ),
    introduced(choice_axiom,[]) ).

tff(f35,plain,
    ! [X1,X2,X3,X4] :
      ( ? [X5: '$ki_world'] :
          ( ? [X6] :
              ( ~ in(X5,X1,X2,X6)
              & '$ki_exists_in_world_$i'(X5,X6)
              & do(X5,X4,X3,X6) )
          & '$ki_accessible'(sK4,X5) )
     => ( ? [X6] :
            ( ~ in(sK5(X1,X2,X3,X4),X1,X2,X6)
            & '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),X6)
            & do(sK5(X1,X2,X3,X4),X4,X3,X6) )
        & '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) ) ),
    introduced(choice_axiom,[]) ).

tff(f36,plain,
    ! [X1,X2,X3,X4] :
      ( ? [X6] :
          ( ~ in(sK5(X1,X2,X3,X4),X1,X2,X6)
          & '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),X6)
          & do(sK5(X1,X2,X3,X4),X4,X3,X6) )
     => ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
        & '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),sK6(X1,X2,X3,X4))
        & do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4)) ) ),
    introduced(choice_axiom,[]) ).

tff(f37,plain,
    ! [X1,X2] :
      ( ? [X7: '$ki_world'] :
          ( '$ki_accessible'(sK4,X7)
          & ( ~ number(X7,X2,one)
            | ~ entry_box(X7,X2)
            | ~ userid(X7,u,X1) ) )
     => ( '$ki_accessible'(sK4,sK7(X1,X2))
        & ( ~ number(sK7(X1,X2),X2,one)
          | ~ entry_box(sK7(X1,X2),X2)
          | ~ userid(sK7(X1,X2),u,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f33,plain,
    ? [X0: '$ki_world'] :
      ( ! [X1] :
          ( ~ '$ki_exists_in_world_$i'(X0,X1)
          | ! [X2] :
              ( ~ '$ki_exists_in_world_$i'(X0,X2)
              | ! [X3] :
                  ( ! [X4] :
                      ( ? [X5: '$ki_world'] :
                          ( ? [X6] :
                              ( ~ in(X5,X1,X2,X6)
                              & '$ki_exists_in_world_$i'(X5,X6)
                              & do(X5,X4,X3,X6) )
                          & '$ki_accessible'(X0,X5) )
                      | ~ '$ki_exists_in_world_$i'(X0,X4)
                      | ? [X7: '$ki_world'] :
                          ( '$ki_accessible'(X0,X7)
                          & ( ~ number(X7,X2,one)
                            | ~ entry_box(X7,X2)
                            | ~ userid(X7,u,X1) ) ) )
                  | ~ '$ki_exists_in_world_$i'(X0,X3) ) ) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(rectify,[],[f24]) ).

tff(f24,plain,
    ? [X0: '$ki_world'] :
      ( ! [X1] :
          ( ~ '$ki_exists_in_world_$i'(X0,X1)
          | ! [X2] :
              ( ~ '$ki_exists_in_world_$i'(X0,X2)
              | ! [X3] :
                  ( ! [X4] :
                      ( ? [X6: '$ki_world'] :
                          ( ? [X7] :
                              ( ~ in(X6,X1,X2,X7)
                              & '$ki_exists_in_world_$i'(X6,X7)
                              & do(X6,X4,X3,X7) )
                          & '$ki_accessible'(X0,X6) )
                      | ~ '$ki_exists_in_world_$i'(X0,X4)
                      | ? [X5: '$ki_world'] :
                          ( '$ki_accessible'(X0,X5)
                          & ( ~ number(X5,X2,one)
                            | ~ entry_box(X5,X2)
                            | ~ userid(X5,u,X1) ) ) )
                  | ~ '$ki_exists_in_world_$i'(X0,X3) ) ) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(flattening,[],[f23]) ).

tff(f23,plain,
    ? [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ? [X6: '$ki_world'] :
                          ( ? [X7] :
                              ( ~ in(X6,X1,X2,X7)
                              & do(X6,X4,X3,X7)
                              & '$ki_exists_in_world_$i'(X6,X7) )
                          & '$ki_accessible'(X0,X6) )
                      | ? [X5: '$ki_world'] :
                          ( '$ki_accessible'(X0,X5)
                          & ( ~ number(X5,X2,one)
                            | ~ entry_box(X5,X2)
                            | ~ userid(X5,u,X1) ) )
                      | ~ '$ki_exists_in_world_$i'(X0,X4) )
                  | ~ '$ki_exists_in_world_$i'(X0,X3) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,plain,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ! [X6: '$ki_world'] :
                            ( '$ki_accessible'(X0,X6)
                           => ! [X7] :
                                ( '$ki_exists_in_world_$i'(X6,X7)
                               => ( do(X6,X4,X3,X7)
                                 => in(X6,X1,X2,X7) ) ) )
                        & ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ( entry_box(X5,X2)
                              & userid(X5,u,X1)
                              & number(X5,X2,one) ) )
                        & '$ki_exists_in_world_$i'(X0,X4) )
                    & '$ki_exists_in_world_$i'(X0,X3) )
                & '$ki_exists_in_world_$i'(X0,X2) )
            & '$ki_exists_in_world_$i'(X0,X1) ) ),
    inference(rectify,[],[f9]) ).

tff(f9,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ? [X4] :
            ( ? [X6] :
                ( ? [X8] :
                    ( ? [X7] :
                        ( ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ( userid(X5,u,X4)
                              & entry_box(X5,X6)
                              & number(X5,X6,one) ) )
                        & ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ! [X9] :
                                ( '$ki_exists_in_world_$i'(X5,X9)
                               => ( do(X5,X7,X8,X9)
                                 => in(X5,X4,X6,X9) ) ) )
                        & '$ki_exists_in_world_$i'(X0,X7) )
                    & '$ki_exists_in_world_$i'(X0,X8) )
                & '$ki_exists_in_world_$i'(X0,X6) )
            & '$ki_exists_in_world_$i'(X0,X4) ) ),
    inference(negated_conjecture,[],[f8]) ).

tff(f8,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ? [X4] :
          ( ? [X6] :
              ( ? [X8] :
                  ( ? [X7] :
                      ( ! [X5: '$ki_world'] :
                          ( '$ki_accessible'(X0,X5)
                         => ( userid(X5,u,X4)
                            & entry_box(X5,X6)
                            & number(X5,X6,one) ) )
                      & ! [X5: '$ki_world'] :
                          ( '$ki_accessible'(X0,X5)
                         => ! [X9] :
                              ( '$ki_exists_in_world_$i'(X5,X9)
                             => ( do(X5,X7,X8,X9)
                               => in(X5,X4,X6,X9) ) ) )
                      & '$ki_exists_in_world_$i'(X0,X7) )
                  & '$ki_exists_in_world_$i'(X0,X8) )
              & '$ki_exists_in_world_$i'(X0,X6) )
          & '$ki_exists_in_world_$i'(X0,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).

tff(f256,plain,
    ( ~ entry_box(sK4,sK2)
    | ~ spl8_6
    | spl8_12 ),
    inference(subsumption_resolution,[],[f254,f167]) ).

tff(f167,plain,
    ( string(sK4,sK3('$ki_local_world'))
    | ~ spl8_6 ),
    inference(avatar_component_clause,[],[f166]) ).

tff(f166,plain,
    ( spl8_6
  <=> string(sK4,sK3('$ki_local_world')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

tff(f254,plain,
    ( ~ string(sK4,sK3('$ki_local_world'))
    | ~ entry_box(sK4,sK2)
    | spl8_12 ),
    inference(resolution,[],[f222,f127]) ).

tff(f127,plain,
    ! [X0: $i,X1: $i] :
      ( entry_box(sK7(X0,X1),sK2)
      | ~ entry_box(sK4,X1)
      | ~ string(sK4,X0) ),
    inference(resolution,[],[f121,f44]) ).

tff(f121,plain,
    ! [X0: $i,X1: $i] :
      ( '$ki_accessible'('$ki_local_world',sK7(X0,X1))
      | ~ string(sK4,X0)
      | ~ entry_box(sK4,X1) ),
    inference(resolution,[],[f115,f86]) ).

tff(f86,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'(sK4,X0)
      | '$ki_accessible'('$ki_local_world',X0) ),
    inference(resolution,[],[f51,f60]) ).

tff(f60,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ '$ki_accessible'(X2,X1)
      | '$ki_accessible'(X2,X0)
      | ~ '$ki_accessible'(X1,X0) ),
    inference(cnf_transformation,[],[f39]) ).

tff(f39,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( ~ '$ki_accessible'(X2,X1)
      | ~ '$ki_accessible'(X1,X0)
      | '$ki_accessible'(X2,X0) ),
    inference(rectify,[],[f22]) ).

tff(f22,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X1: '$ki_world'] :
      ( ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'(X2,X0)
      | '$ki_accessible'(X1,X0) ),
    inference(flattening,[],[f21]) ).

tff(f21,plain,
    ! [X1: '$ki_world',X0: '$ki_world',X2: '$ki_world'] :
      ( '$ki_accessible'(X1,X0)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'(X2,X0) ),
    inference(ennf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X1: '$ki_world',X0: '$ki_world',X2: '$ki_world'] :
      ( ( '$ki_accessible'(X1,X2)
        & '$ki_accessible'(X2,X0) )
     => '$ki_accessible'(X1,X0) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ( '$ki_accessible'(X1,X2)
        & '$ki_accessible'(X0,X1) )
     => '$ki_accessible'(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).

tff(f115,plain,
    ! [X2: $i,X3: $i] :
      ( '$ki_accessible'(sK4,sK7(X2,X3))
      | ~ string(sK4,X2)
      | ~ entry_box(sK4,X3) ),
    inference(subsumption_resolution,[],[f112,f51]) ).

tff(f112,plain,
    ! [X2: $i,X3: $i] :
      ( ~ '$ki_accessible'('$ki_local_world',sK4)
      | ~ string(sK4,X2)
      | '$ki_accessible'(sK4,sK7(X2,X3))
      | ~ entry_box(sK4,X3) ),
    inference(duplicate_literal_removal,[],[f111]) ).

tff(f111,plain,
    ! [X2: $i,X3: $i] :
      ( ~ string(sK4,X2)
      | ~ entry_box(sK4,X3)
      | ~ '$ki_accessible'('$ki_local_world',sK4)
      | '$ki_accessible'(sK4,sK7(X2,X3))
      | '$ki_accessible'(sK4,sK7(X2,X3)) ),
    inference(resolution,[],[f109,f72]) ).

tff(f72,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2)) ),
    inference(subsumption_resolution,[],[f71,f50]) ).

tff(f50,plain,
    ! [X0: $i,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X3,X0: '$ki_world'] : '$ki_exists_in_world_$i'(X0,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).

tff(f71,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK4,X4)
      | '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2)) ),
    inference(subsumption_resolution,[],[f70,f50]) ).

tff(f70,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( '$ki_accessible'(sK4,sK7(X1,X2))
      | '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X4) ),
    inference(subsumption_resolution,[],[f69,f50]) ).

tff(f69,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(subsumption_resolution,[],[f53,f50]) ).

tff(f53,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK4,X2)
      | '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f109,plain,
    ! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
      ( ~ '$ki_accessible'(X4,sK5(X6,X5,sK0(X4,X7,X6,X5),X7))
      | ~ '$ki_accessible'('$ki_local_world',X4)
      | '$ki_accessible'(sK4,sK7(X6,X5))
      | ~ entry_box(X4,X5)
      | ~ string(X4,X6) ),
    inference(duplicate_literal_removal,[],[f108]) ).

tff(f108,plain,
    ! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
      ( ~ entry_box(X4,X5)
      | ~ '$ki_accessible'(X4,sK5(X6,X5,sK0(X4,X7,X6,X5),X7))
      | ~ string(X4,X6)
      | '$ki_accessible'(sK4,sK7(X6,X5))
      | ~ '$ki_accessible'('$ki_local_world',X4)
      | '$ki_accessible'(sK4,sK7(X6,X5)) ),
    inference(resolution,[],[f97,f84]) ).

tff(f84,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2)) ),
    inference(subsumption_resolution,[],[f83,f50]) ).

tff(f83,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2)) ),
    inference(subsumption_resolution,[],[f82,f50]) ).

tff(f82,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X4) ),
    inference(subsumption_resolution,[],[f81,f50]) ).

tff(f81,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X4) ),
    inference(subsumption_resolution,[],[f59,f50]) ).

tff(f59,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK4,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | '$ki_accessible'(sK4,sK7(X1,X2)) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f97,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ entry_box(X2,X5)
      | ~ string(X2,X3)
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | '$ki_accessible'(sK4,sK7(X0,X1)) ),
    inference(subsumption_resolution,[],[f96,f50]) ).

tff(f96,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_exists_in_world_$i'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ entry_box(X2,X5)
      | '$ki_accessible'(sK4,sK7(X0,X1))
      | ~ string(X2,X3) ),
    inference(subsumption_resolution,[],[f95,f50]) ).

tff(f95,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ entry_box(X2,X5)
      | ~ string(X2,X3)
      | '$ki_accessible'(sK4,sK7(X0,X1))
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ '$ki_exists_in_world_$i'(X2,X3)
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(subsumption_resolution,[],[f94,f50]) ).

tff(f94,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ string(X2,X3)
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ '$ki_exists_in_world_$i'(X2,X3)
      | '$ki_accessible'(sK4,sK7(X0,X1))
      | in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(subsumption_resolution,[],[f93,f50]) ).

tff(f93,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ string(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_exists_in_world_$i'(X2,X3)
      | ~ entry_box(X2,X5)
      | '$ki_accessible'(sK4,sK7(X0,X1))
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4)) ),
    inference(resolution,[],[f76,f41]) ).

tff(f41,plain,
    ! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
      ( ~ do(X5,X1,sK0(X0,X1,X2,X3),X6)
      | ~ '$ki_exists_in_world_$i'(X0,X2)
      | ~ '$ki_exists_in_world_$i'(X0,X1)
      | ~ entry_box(X0,X3)
      | ~ '$ki_exists_in_world_$i'(X0,X3)
      | in(X5,X2,X3,X6)
      | ~ '$ki_accessible'(X0,X5)
      | ~ string(X0,X2)
      | ~ '$ki_exists_in_world_$i'(X5,X6)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f26,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ! [X1] :
          ( ~ '$ki_exists_in_world_$i'(X0,X1)
          | ! [X2] :
              ( ! [X3] :
                  ( ~ entry_box(X0,X3)
                  | ~ '$ki_exists_in_world_$i'(X0,X3)
                  | ~ string(X0,X2)
                  | ( ! [X5: '$ki_world'] :
                        ( ~ '$ki_accessible'(X0,X5)
                        | ! [X6] :
                            ( ~ do(X5,X1,sK0(X0,X1,X2,X3),X6)
                            | in(X5,X2,X3,X6)
                            | ~ '$ki_exists_in_world_$i'(X5,X6) ) )
                    & '$ki_exists_in_world_$i'(X0,sK0(X0,X1,X2,X3)) ) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f25]) ).

tff(f25,plain,
    ! [X0: '$ki_world',X1,X2,X3] :
      ( ? [X4] :
          ( ! [X5: '$ki_world'] :
              ( ~ '$ki_accessible'(X0,X5)
              | ! [X6] :
                  ( ~ do(X5,X1,X4,X6)
                  | in(X5,X2,X3,X6)
                  | ~ '$ki_exists_in_world_$i'(X5,X6) ) )
          & '$ki_exists_in_world_$i'(X0,X4) )
     => ( ! [X5: '$ki_world'] :
            ( ~ '$ki_accessible'(X0,X5)
            | ! [X6] :
                ( ~ do(X5,X1,sK0(X0,X1,X2,X3),X6)
                | in(X5,X2,X3,X6)
                | ~ '$ki_exists_in_world_$i'(X5,X6) ) )
        & '$ki_exists_in_world_$i'(X0,sK0(X0,X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

tff(f19,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ! [X1] :
          ( ~ '$ki_exists_in_world_$i'(X0,X1)
          | ! [X2] :
              ( ! [X3] :
                  ( ~ entry_box(X0,X3)
                  | ~ '$ki_exists_in_world_$i'(X0,X3)
                  | ~ string(X0,X2)
                  | ? [X4] :
                      ( ! [X5: '$ki_world'] :
                          ( ~ '$ki_accessible'(X0,X5)
                          | ! [X6] :
                              ( ~ do(X5,X1,X4,X6)
                              | in(X5,X2,X3,X6)
                              | ~ '$ki_exists_in_world_$i'(X5,X6) ) )
                      & '$ki_exists_in_world_$i'(X0,X4) ) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) ) ) ),
    inference(flattening,[],[f18]) ).

tff(f18,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ? [X4] :
                      ( '$ki_exists_in_world_$i'(X0,X4)
                      & ! [X5: '$ki_world'] :
                          ( ! [X6] :
                              ( in(X5,X2,X3,X6)
                              | ~ do(X5,X1,X4,X6)
                              | ~ '$ki_exists_in_world_$i'(X5,X6) )
                          | ~ '$ki_accessible'(X0,X5) ) )
                  | ~ entry_box(X0,X3)
                  | ~ string(X0,X2)
                  | ~ '$ki_exists_in_world_$i'(X0,X3) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X1] :
          ( '$ki_exists_in_world_$i'(X0,X1)
         => ! [X2] :
              ( '$ki_exists_in_world_$i'(X0,X2)
             => ! [X3] :
                  ( '$ki_exists_in_world_$i'(X0,X3)
                 => ( ( entry_box(X0,X3)
                      & string(X0,X2) )
                   => ? [X4] :
                        ( '$ki_exists_in_world_$i'(X0,X4)
                        & ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ! [X6] :
                                ( '$ki_exists_in_world_$i'(X5,X6)
                               => ( do(X5,X1,X4,X6)
                                 => in(X5,X2,X3,X6) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X7] :
          ( '$ki_exists_in_world_$i'(X0,X7)
         => ! [X4] :
              ( '$ki_exists_in_world_$i'(X0,X4)
             => ! [X6] :
                  ( '$ki_exists_in_world_$i'(X0,X6)
                 => ( ( entry_box(X0,X6)
                      & string(X0,X4) )
                   => ? [X8] :
                        ( '$ki_exists_in_world_$i'(X0,X8)
                        & ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ! [X9] :
                                ( '$ki_exists_in_world_$i'(X5,X9)
                               => ( do(X5,X7,X8,X9)
                                 => in(X5,X4,X6,X9) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

tff(f76,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2)) ),
    inference(subsumption_resolution,[],[f75,f50]) ).

tff(f75,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f74,f50]) ).

tff(f74,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | '$ki_accessible'(sK4,sK7(X1,X2)) ),
    inference(subsumption_resolution,[],[f73,f50]) ).

tff(f73,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X4) ),
    inference(subsumption_resolution,[],[f55,f50]) ).

tff(f55,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK4,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | '$ki_accessible'(sK4,sK7(X1,X2)) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f222,plain,
    ( ~ entry_box(sK7(sK3('$ki_local_world'),sK2),sK2)
    | spl8_12 ),
    inference(avatar_component_clause,[],[f220]) ).

tff(f220,plain,
    ( spl8_12
  <=> entry_box(sK7(sK3('$ki_local_world'),sK2),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).

tff(f253,plain,
    ( ~ spl8_6
    | spl8_11 ),
    inference(avatar_contradiction_clause,[],[f252]) ).

tff(f252,plain,
    ( $false
    | ~ spl8_6
    | spl8_11 ),
    inference(subsumption_resolution,[],[f251,f85]) ).

tff(f251,plain,
    ( ~ entry_box(sK4,sK2)
    | ~ spl8_6
    | spl8_11 ),
    inference(subsumption_resolution,[],[f249,f167]) ).

tff(f249,plain,
    ( ~ string(sK4,sK3('$ki_local_world'))
    | ~ entry_box(sK4,sK2)
    | spl8_11 ),
    inference(resolution,[],[f242,f121]) ).

tff(f242,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK7(sK3('$ki_local_world'),sK2))
    | spl8_11 ),
    inference(subsumption_resolution,[],[f241,f46]) ).

tff(f46,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).

tff(f241,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK7(sK3('$ki_local_world'),sK2))
    | ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | spl8_11 ),
    inference(resolution,[],[f218,f47]) ).

tff(f47,plain,
    ! [X2: '$ki_world',X0: '$ki_world'] :
      ( userid(X2,u,sK3(X0))
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ '$ki_accessible'(X0,X2) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f32,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ( '$ki_exists_in_world_$i'(X0,sK3(X0))
        & ! [X2: '$ki_world'] :
            ( ~ '$ki_accessible'(X0,X2)
            | ( string(X2,sK3(X0))
              & userid(X2,u,sK3(X0)) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f20,f31]) ).

tff(f31,plain,
    ! [X0: '$ki_world'] :
      ( ? [X1] :
          ( '$ki_exists_in_world_$i'(X0,X1)
          & ! [X2: '$ki_world'] :
              ( ~ '$ki_accessible'(X0,X2)
              | ( string(X2,X1)
                & userid(X2,u,X1) ) ) )
     => ( '$ki_exists_in_world_$i'(X0,sK3(X0))
        & ! [X2: '$ki_world'] :
            ( ~ '$ki_accessible'(X0,X2)
            | ( string(X2,sK3(X0))
              & userid(X2,u,sK3(X0)) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f20,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ? [X1] :
          ( '$ki_exists_in_world_$i'(X0,X1)
          & ! [X2: '$ki_world'] :
              ( ~ '$ki_accessible'(X0,X2)
              | ( string(X2,X1)
                & userid(X2,u,X1) ) ) ) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ? [X1] :
          ( '$ki_exists_in_world_$i'(X0,X1)
          & ! [X2: '$ki_world'] :
              ( '$ki_accessible'(X0,X2)
             => ( string(X2,X1)
                & userid(X2,u,X1) ) ) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ? [X4] :
          ( ! [X5: '$ki_world'] :
              ( '$ki_accessible'(X0,X5)
             => ( string(X5,X4)
                & userid(X5,u,X4) ) )
          & '$ki_exists_in_world_$i'(X0,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f218,plain,
    ( ~ userid(sK7(sK3('$ki_local_world'),sK2),u,sK3('$ki_local_world'))
    | spl8_11 ),
    inference(avatar_component_clause,[],[f216]) ).

tff(f216,plain,
    ( spl8_11
  <=> userid(sK7(sK3('$ki_local_world'),sK2),u,sK3('$ki_local_world')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).

tff(f229,plain,
    ( ~ spl8_6
    | spl8_10 ),
    inference(avatar_contradiction_clause,[],[f228]) ).

tff(f228,plain,
    ( $false
    | ~ spl8_6
    | spl8_10 ),
    inference(subsumption_resolution,[],[f227,f85]) ).

tff(f227,plain,
    ( ~ entry_box(sK4,sK2)
    | ~ spl8_6
    | spl8_10 ),
    inference(subsumption_resolution,[],[f225,f167]) ).

tff(f225,plain,
    ( ~ string(sK4,sK3('$ki_local_world'))
    | ~ entry_box(sK4,sK2)
    | spl8_10 ),
    inference(resolution,[],[f224,f121]) ).

tff(f224,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK7(sK3('$ki_local_world'),sK2))
    | spl8_10 ),
    inference(resolution,[],[f214,f43]) ).

tff(f43,plain,
    ! [X1: '$ki_world'] :
      ( number(X1,sK2,one)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f214,plain,
    ( ~ number(sK7(sK3('$ki_local_world'),sK2),sK2,one)
    | spl8_10 ),
    inference(avatar_component_clause,[],[f212]) ).

tff(f212,plain,
    ( spl8_10
  <=> number(sK7(sK3('$ki_local_world'),sK2),sK2,one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).

tff(f223,plain,
    ( ~ spl8_10
    | ~ spl8_11
    | ~ spl8_12
    | ~ spl8_5
    | ~ spl8_6 ),
    inference(avatar_split_clause,[],[f210,f166,f163,f220,f216,f212]) ).

tff(f163,plain,
    ( spl8_5
  <=> ! [X0,X1] : '$ki_accessible'(sK4,sK5(sK3('$ki_local_world'),sK2,X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

tff(f210,plain,
    ( ~ entry_box(sK7(sK3('$ki_local_world'),sK2),sK2)
    | ~ userid(sK7(sK3('$ki_local_world'),sK2),u,sK3('$ki_local_world'))
    | ~ number(sK7(sK3('$ki_local_world'),sK2),sK2,one)
    | ~ spl8_5
    | ~ spl8_6 ),
    inference(subsumption_resolution,[],[f209,f167]) ).

tff(f209,plain,
    ( ~ entry_box(sK7(sK3('$ki_local_world'),sK2),sK2)
    | ~ userid(sK7(sK3('$ki_local_world'),sK2),u,sK3('$ki_local_world'))
    | ~ string(sK4,sK3('$ki_local_world'))
    | ~ number(sK7(sK3('$ki_local_world'),sK2),sK2,one)
    | ~ spl8_5 ),
    inference(subsumption_resolution,[],[f208,f51]) ).

tff(f208,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK4)
    | ~ entry_box(sK7(sK3('$ki_local_world'),sK2),sK2)
    | ~ number(sK7(sK3('$ki_local_world'),sK2),sK2,one)
    | ~ string(sK4,sK3('$ki_local_world'))
    | ~ userid(sK7(sK3('$ki_local_world'),sK2),u,sK3('$ki_local_world'))
    | ~ spl8_5 ),
    inference(subsumption_resolution,[],[f205,f85]) ).

tff(f205,plain,
    ( ~ entry_box(sK7(sK3('$ki_local_world'),sK2),sK2)
    | ~ entry_box(sK4,sK2)
    | ~ userid(sK7(sK3('$ki_local_world'),sK2),u,sK3('$ki_local_world'))
    | ~ string(sK4,sK3('$ki_local_world'))
    | ~ number(sK7(sK3('$ki_local_world'),sK2),sK2,one)
    | ~ '$ki_accessible'('$ki_local_world',sK4)
    | ~ spl8_5 ),
    inference(resolution,[],[f164,f120]) ).

tff(f120,plain,
    ! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
      ( ~ '$ki_accessible'(X0,sK5(X1,X2,sK0(X0,X3,X1,X2),X3))
      | ~ string(X0,X1)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ entry_box(X0,X2) ),
    inference(duplicate_literal_removal,[],[f118]) ).

tff(f118,plain,
    ! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
      ( ~ userid(sK7(X1,X2),u,X1)
      | ~ entry_box(X0,X2)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ string(X0,X1)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_accessible'(X0,sK5(X1,X2,sK0(X0,X3,X1,X2),X3))
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ number(sK7(X1,X2),X2,one) ),
    inference(resolution,[],[f104,f64]) ).

tff(f64,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ entry_box(sK7(X1,X2),X2) ),
    inference(subsumption_resolution,[],[f63,f50]) ).

tff(f63,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f62,f50]) ).

tff(f62,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ number(sK7(X1,X2),X2,one)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X2) ),
    inference(subsumption_resolution,[],[f61,f50]) ).

tff(f61,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X1)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ '$ki_exists_in_world_$i'(sK4,X3) ),
    inference(subsumption_resolution,[],[f58,f50]) ).

tff(f58,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ number(sK7(X1,X2),X2,one)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X1)
      | ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X2) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f104,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ entry_box(X2,X5)
      | ~ string(X2,X3)
      | ~ entry_box(sK7(X0,X1),X1)
      | ~ userid(sK7(X0,X1),u,X0)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ number(sK7(X0,X1),X1,one) ),
    inference(subsumption_resolution,[],[f103,f50]) ).

tff(f103,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ entry_box(sK7(X0,X1),X1)
      | ~ number(sK7(X0,X1),X1,one)
      | in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ string(X2,X3)
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ userid(sK7(X0,X1),u,X0) ),
    inference(subsumption_resolution,[],[f102,f50]) ).

tff(f102,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ string(X2,X3)
      | ~ entry_box(X2,X5)
      | ~ entry_box(sK7(X0,X1),X1)
      | ~ number(sK7(X0,X1),X1,one)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ userid(sK7(X0,X1),u,X0) ),
    inference(subsumption_resolution,[],[f101,f50]) ).

tff(f101,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ userid(sK7(X0,X1),u,X0)
      | in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_exists_in_world_$i'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ entry_box(X2,X5)
      | ~ string(X2,X3)
      | ~ entry_box(sK7(X0,X1),X1)
      | ~ '$ki_exists_in_world_$i'(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ number(sK7(X0,X1),X1,one)
      | ~ '$ki_exists_in_world_$i'(X2,X4) ),
    inference(subsumption_resolution,[],[f100,f50]) ).

tff(f100,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ userid(sK7(X0,X1),u,X0)
      | ~ entry_box(sK7(X0,X1),X1)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),X3,X5,sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ '$ki_accessible'(X2,sK5(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ string(X2,X3)
      | ~ entry_box(X2,X5)
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ '$ki_exists_in_world_$i'(X2,X3)
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ '$ki_exists_in_world_$i'(sK5(X0,X1,sK0(X2,X4,X3,X5),X4),sK6(X0,X1,sK0(X2,X4,X3,X5),X4))
      | ~ number(sK7(X0,X1),X1,one) ),
    inference(resolution,[],[f68,f41]) ).

tff(f68,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ userid(sK7(X1,X2),u,X1) ),
    inference(subsumption_resolution,[],[f67,f50]) ).

tff(f67,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ entry_box(sK7(X1,X2),X2)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f66,f50]) ).

tff(f66,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X1)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X4) ),
    inference(subsumption_resolution,[],[f65,f50]) ).

tff(f65,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X1)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ userid(sK7(X1,X2),u,X1) ),
    inference(subsumption_resolution,[],[f54,f50]) ).

tff(f54,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f164,plain,
    ( ! [X0: $i,X1: $i] : '$ki_accessible'(sK4,sK5(sK3('$ki_local_world'),sK2,X0,X1))
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f163]) ).

tff(f177,plain,
    spl8_6,
    inference(avatar_contradiction_clause,[],[f176]) ).

tff(f176,plain,
    ( $false
    | spl8_6 ),
    inference(subsumption_resolution,[],[f175,f51]) ).

tff(f175,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK4)
    | spl8_6 ),
    inference(subsumption_resolution,[],[f174,f46]) ).

tff(f174,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ '$ki_accessible'('$ki_local_world',sK4)
    | spl8_6 ),
    inference(resolution,[],[f168,f48]) ).

tff(f48,plain,
    ! [X2: '$ki_world',X0: '$ki_world'] :
      ( string(X2,sK3(X0))
      | ~ '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f168,plain,
    ( ~ string(sK4,sK3('$ki_local_world'))
    | spl8_6 ),
    inference(avatar_component_clause,[],[f166]) ).

tff(f169,plain,
    ( spl8_5
    | ~ spl8_6 ),
    inference(avatar_split_clause,[],[f161,f166,f163]) ).

tff(f161,plain,
    ! [X0: $i,X1: $i] :
      ( ~ string(sK4,sK3('$ki_local_world'))
      | '$ki_accessible'(sK4,sK5(sK3('$ki_local_world'),sK2,X0,X1)) ),
    inference(subsumption_resolution,[],[f160,f46]) ).

tff(f160,plain,
    ! [X0: $i,X1: $i] :
      ( ~ string(sK4,sK3('$ki_local_world'))
      | ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
      | '$ki_accessible'(sK4,sK5(sK3('$ki_local_world'),sK2,X0,X1)) ),
    inference(subsumption_resolution,[],[f148,f85]) ).

tff(f148,plain,
    ! [X0: $i,X1: $i] :
      ( '$ki_accessible'(sK4,sK5(sK3('$ki_local_world'),sK2,X0,X1))
      | ~ entry_box(sK4,sK2)
      | ~ string(sK4,sK3('$ki_local_world'))
      | ~ '$ki_accessible'('$ki_local_world','$ki_local_world') ),
    inference(duplicate_literal_removal,[],[f144]) ).

tff(f144,plain,
    ! [X0: $i,X1: $i] :
      ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
      | '$ki_accessible'(sK4,sK5(sK3('$ki_local_world'),sK2,X0,X1))
      | ~ entry_box(sK4,sK2)
      | ~ string(sK4,sK3('$ki_local_world'))
      | ~ string(sK4,sK3('$ki_local_world')) ),
    inference(resolution,[],[f140,f121]) ).

tff(f140,plain,
    ! [X2: $i,X0: '$ki_world',X1: $i] :
      ( ~ '$ki_accessible'(X0,sK7(sK3(X0),sK2))
      | '$ki_accessible'(sK4,sK5(sK3(X0),sK2,X1,X2))
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ string(sK4,sK3(X0)) ),
    inference(subsumption_resolution,[],[f139,f85]) ).

tff(f139,plain,
    ! [X2: $i,X0: '$ki_world',X1: $i] :
      ( ~ '$ki_accessible'(X0,sK7(sK3(X0),sK2))
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | '$ki_accessible'(sK4,sK5(sK3(X0),sK2,X1,X2))
      | ~ entry_box(sK4,sK2)
      | ~ string(sK4,sK3(X0)) ),
    inference(resolution,[],[f127,f106]) ).

tff(f106,plain,
    ! [X2: $i,X0: '$ki_world',X1: $i] :
      ( ~ entry_box(sK7(sK3(X0),sK2),sK2)
      | ~ '$ki_accessible'(X0,sK7(sK3(X0),sK2))
      | '$ki_accessible'(sK4,sK5(sK3(X0),sK2,X1,X2))
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(subsumption_resolution,[],[f105,f60]) ).

tff(f105,plain,
    ! [X2: $i,X0: '$ki_world',X1: $i] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ '$ki_accessible'('$ki_local_world',sK7(sK3(X0),sK2))
      | ~ entry_box(sK7(sK3(X0),sK2),sK2)
      | ~ '$ki_accessible'(X0,sK7(sK3(X0),sK2))
      | '$ki_accessible'(sK4,sK5(sK3(X0),sK2,X1,X2)) ),
    inference(resolution,[],[f99,f43]) ).

tff(f99,plain,
    ! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
      ( ~ number(sK7(sK3(X0),X1),X1,one)
      | '$ki_accessible'(sK4,sK5(sK3(X0),X1,X2,X3))
      | ~ '$ki_accessible'(X0,sK7(sK3(X0),X1))
      | ~ entry_box(sK7(sK3(X0),X1),X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(resolution,[],[f80,f47]) ).

tff(f80,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ userid(sK7(X1,X2),u,X1)
      | '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ number(sK7(X1,X2),X2,one) ),
    inference(subsumption_resolution,[],[f79,f50]) ).

tff(f79,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ entry_box(sK7(X1,X2),X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ number(sK7(X1,X2),X2,one) ),
    inference(subsumption_resolution,[],[f78,f50]) ).

tff(f78,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ entry_box(sK7(X1,X2),X2)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f77,f50]) ).

tff(f77,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f52,f50]) ).

tff(f52,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK4,X1)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ entry_box(sK7(X1,X2),X2)
      | '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ number(sK7(X1,X2),X2,one)
      | ~ '$ki_exists_in_world_$i'(sK4,X3) ),
    inference(cnf_transformation,[],[f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 22 12:10:42 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.51  % (2815)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.52  % (2807)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52  % (2815)Refutation not found, incomplete strategy% (2815)------------------------------
% 0.21/0.52  % (2815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (2815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (2815)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (2815)Memory used [KB]: 6012
% 0.21/0.53  % (2815)Time elapsed: 0.107 s
% 0.21/0.53  % (2815)Instructions burned: 2 (million)
% 0.21/0.53  % (2815)------------------------------
% 0.21/0.53  % (2815)------------------------------
% 0.21/0.53  % (2806)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53  % (2810)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53  % (2807)First to succeed.
% 0.21/0.53  % (2812)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.53  % (2809)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (2823)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53  % (2809)Refutation not found, incomplete strategy% (2809)------------------------------
% 0.21/0.53  % (2809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (2809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (2809)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (2809)Memory used [KB]: 6012
% 0.21/0.53  % (2809)Time elapsed: 0.123 s
% 0.21/0.53  % (2809)Instructions burned: 3 (million)
% 0.21/0.53  % (2809)------------------------------
% 0.21/0.53  % (2809)------------------------------
% 0.21/0.53  % (2823)Instruction limit reached!
% 0.21/0.53  % (2823)------------------------------
% 0.21/0.53  % (2823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (2823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (2823)Termination reason: Unknown
% 0.21/0.53  % (2823)Termination phase: Finite model building preprocessing
% 0.21/0.53  
% 0.21/0.53  % (2823)Memory used [KB]: 1407
% 0.21/0.53  % (2823)Time elapsed: 0.005 s
% 0.21/0.53  % (2823)Instructions burned: 3 (million)
% 0.21/0.53  % (2823)------------------------------
% 0.21/0.53  % (2823)------------------------------
% 0.21/0.54  % (2829)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.54  % (2811)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.54  % (2807)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Theorem for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (2807)------------------------------
% 0.21/0.54  % (2807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (2807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (2807)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (2807)Memory used [KB]: 6140
% 0.21/0.54  % (2807)Time elapsed: 0.113 s
% 0.21/0.54  % (2807)Instructions burned: 6 (million)
% 0.21/0.54  % (2807)------------------------------
% 0.21/0.54  % (2807)------------------------------
% 0.21/0.54  % (2805)Success in time 0.18 s
%------------------------------------------------------------------------------