TSTP Solution File: NUM655+4 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : NUM655+4 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n018.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 13:16:20 EDT 2024

% Result   : Theorem 7.52s 1.45s
% Output   : Refutation 7.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  183 (  28 unt;   0 def)
%            Number of atoms       :  487 (   6 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  529 ( 225   ~; 210   |;  38   &)
%                                         (  43 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  19 con; 0-3 aty)
%            Number of variables   :  263 ( 260   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3470,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2101,f2108,f2235,f2248,f2289,f2704,f3030,f3424,f3440,f3469]) ).

fof(f3469,plain,
    spl48_24,
    inference(avatar_contradiction_clause,[],[f3468]) ).

fof(f3468,plain,
    ( $false
    | spl48_24 ),
    inference(subsumption_resolution,[],[f3463,f1224]) ).

fof(f1224,plain,
    pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_br)),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,axiom,
    pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_br)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3463,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_br))
    | spl48_24 ),
    inference(resolution,[],[f3454,f3313]) ).

fof(f3313,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(X0,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))))
      | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),X0)) ),
    inference(resolution,[],[f2753,f2670]) ).

fof(f2670,plain,
    ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),
    inference(resolution,[],[f2669,f1336]) ).

fof(f1336,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
      | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
    inference(cnf_transformation,[],[f914]) ).

fof(f914,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
        | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
    inference(nnf_transformation,[],[f453]) ).

fof(f453,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
    <=> pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
    inference(rectify,[],[f285]) ).

fof(f285,axiom,
    ! [X24] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X24))
    <=> pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X24))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2669,plain,
    ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK36(aTP_Lamm_a,aTP_Lamm_ab))),
    inference(resolution,[],[f1515,f1180]) ).

fof(f1180,plain,
    ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(cnf_transformation,[],[f402]) ).

fof(f402,plain,
    ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(flattening,[],[f401]) ).

fof(f401,negated_conjecture,
    ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(negated_conjecture,[],[f400]) ).

fof(f400,conjecture,
    pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1515,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1))
      | ~ pp(aa_TPTP_ind_bool(X1,sK36(X0,X1))) ),
    inference(cnf_transformation,[],[f987]) ).

fof(f987,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(X1,sK36(X0,X1)))
          & scratc1760362736_is_of(sK36(X0,X1),X0)
          & gg_TPTP_ind(sK36(X0,X1)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc1760362736_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f985,f986]) ).

fof(f986,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ pp(aa_TPTP_ind_bool(X1,X2))
          & scratc1760362736_is_of(X2,X0)
          & gg_TPTP_ind(X2) )
     => ( ~ pp(aa_TPTP_ind_bool(X1,sK36(X0,X1)))
        & scratc1760362736_is_of(sK36(X0,X1),X0)
        & gg_TPTP_ind(sK36(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f985,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc1760362736_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc1760362736_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1)) ) ),
    inference(rectify,[],[f984]) ).

fof(f984,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc1760362736_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X2] :
            ( pp(aa_TPTP_ind_bool(X1,X2))
            | ~ scratc1760362736_is_of(X2,X0)
            | ~ gg_TPTP_ind(X2) )
        | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1)) ) ),
    inference(nnf_transformation,[],[f769]) ).

fof(f769,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc1760362736_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(flattening,[],[f768]) ).

fof(f768,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc1760362736_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(ennf_transformation,[],[f555]) ).

fof(f555,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1))
    <=> ! [X2] :
          ( gg_TPTP_ind(X2)
         => ( scratc1760362736_is_of(X2,X0)
           => pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
    inference(rectify,[],[f147]) ).

fof(f147,axiom,
    ! [X3,X4] :
      ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X3),X4))
    <=> ! [X11] :
          ( gg_TPTP_ind(X11)
         => ( scratc1760362736_is_of(X11,X3)
           => pp(aa_TPTP_ind_bool(X4,X11)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2753,plain,
    ! [X2,X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1910373353all_of(X1),X2))
      | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(X1),X0))
      | pp(aa_TPTP_ind_bool(X0,sK36(X1,X2))) ),
    inference(subsumption_resolution,[],[f2749,f1513]) ).

fof(f1513,plain,
    ! [X0,X1] :
      ( gg_TPTP_ind(sK36(X0,X1))
      | pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1)) ),
    inference(cnf_transformation,[],[f987]) ).

fof(f2749,plain,
    ! [X2,X0,X1] :
      ( pp(aa_TPTP_ind_bool(X0,sK36(X1,X2)))
      | ~ gg_TPTP_ind(sK36(X1,X2))
      | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(X1),X0))
      | pp(aa_fun171081125l_bool(scratc1910373353all_of(X1),X2)) ),
    inference(resolution,[],[f1512,f1514]) ).

fof(f1514,plain,
    ! [X0,X1] :
      ( scratc1760362736_is_of(sK36(X0,X1),X0)
      | pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1)) ),
    inference(cnf_transformation,[],[f987]) ).

fof(f1512,plain,
    ! [X3,X0,X1] :
      ( ~ scratc1760362736_is_of(X3,X0)
      | pp(aa_TPTP_ind_bool(X1,X3))
      | ~ gg_TPTP_ind(X3)
      | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(X0),X1)) ),
    inference(cnf_transformation,[],[f987]) ).

fof(f3454,plain,
    ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))))
    | spl48_24 ),
    inference(resolution,[],[f3447,f1321]) ).

fof(f1321,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0)))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0)) ),
    inference(cnf_transformation,[],[f907]) ).

fof(f907,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0))
        | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0)) ) ),
    inference(nnf_transformation,[],[f446]) ).

fof(f446,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0))
    <=> pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0))) ),
    inference(rectify,[],[f284]) ).

fof(f284,axiom,
    ! [X24] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_br,X24))
    <=> pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X24))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3447,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab))))))
    | spl48_24 ),
    inference(resolution,[],[f2865,f3312]) ).

fof(f3312,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(X0,sK36(aTP_Lamm_a,aTP_Lamm_ab)))
      | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),X0)) ),
    inference(resolution,[],[f2753,f1180]) ).

fof(f2865,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))
    | spl48_24 ),
    inference(avatar_component_clause,[],[f2863]) ).

fof(f2863,plain,
    ( spl48_24
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_24])]) ).

fof(f3440,plain,
    ( ~ spl48_24
    | spl48_23
    | ~ spl48_25 ),
    inference(avatar_split_clause,[],[f3439,f2867,f2701,f2863]) ).

fof(f2701,plain,
    ( spl48_23
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_23])]) ).

fof(f2867,plain,
    ( spl48_25
  <=> pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_25])]) ).

fof(f3439,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))
    | spl48_23
    | ~ spl48_25 ),
    inference(subsumption_resolution,[],[f3431,f2868]) ).

fof(f2868,plain,
    ( pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab))))
    | ~ spl48_25 ),
    inference(avatar_component_clause,[],[f2867]) ).

fof(f3431,plain,
    ( ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))
    | spl48_23 ),
    inference(resolution,[],[f2703,f1593]) ).

fof(f1593,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
      | ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ),
    inference(cnf_transformation,[],[f1031]) ).

fof(f1031,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
          & pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1))) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
        | ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ) ),
    inference(flattening,[],[f1030]) ).

fof(f1030,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
          & pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1))) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
        | ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ) ),
    inference(nnf_transformation,[],[f777]) ).

fof(f777,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
        | ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1))) ) ),
    inference(ennf_transformation,[],[f591]) ).

fof(f591,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
    <=> ( pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1)))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1)) ) ),
    inference(rectify,[],[f315]) ).

fof(f315,axiom,
    ! [X24,X25] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X24),X25))
    <=> ( pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X24),X25)))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X24),X25)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2703,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))
    | spl48_23 ),
    inference(avatar_component_clause,[],[f2701]) ).

fof(f3424,plain,
    spl48_22,
    inference(avatar_contradiction_clause,[],[f3423]) ).

fof(f3423,plain,
    ( $false
    | spl48_22 ),
    inference(subsumption_resolution,[],[f3417,f1220]) ).

fof(f1220,plain,
    pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_bx)),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,axiom,
    pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_bx)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3417,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_bx))
    | spl48_22 ),
    inference(resolution,[],[f3313,f3382]) ).

fof(f3382,plain,
    ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))))
    | spl48_22 ),
    inference(resolution,[],[f3315,f1323]) ).

fof(f1323,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0)))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ),
    inference(cnf_transformation,[],[f908]) ).

fof(f908,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
        | ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ) ),
    inference(nnf_transformation,[],[f447]) ).

fof(f447,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
    <=> pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0))) ),
    inference(rectify,[],[f281]) ).

fof(f281,axiom,
    ! [X24] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X24))
    <=> pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X24))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3315,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab))))))
    | spl48_22 ),
    inference(resolution,[],[f3312,f2699]) ).

fof(f2699,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))
    | spl48_22 ),
    inference(avatar_component_clause,[],[f2697]) ).

fof(f2697,plain,
    ( spl48_22
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_22])]) ).

fof(f3030,plain,
    ( ~ spl48_9
    | spl48_25 ),
    inference(avatar_contradiction_clause,[],[f3029]) ).

fof(f3029,plain,
    ( $false
    | ~ spl48_9
    | spl48_25 ),
    inference(subsumption_resolution,[],[f3027,f2886]) ).

fof(f2886,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))
    | ~ spl48_9
    | spl48_25 ),
    inference(resolution,[],[f2869,f2247]) ).

fof(f2247,plain,
    ( ! [X0] :
        ( pp(scratc855283518_d_not(X0))
        | pp(X0) )
    | ~ spl48_9 ),
    inference(avatar_component_clause,[],[f2246]) ).

fof(f2246,plain,
    ( spl48_9
  <=> ! [X0] :
        ( pp(X0)
        | pp(scratc855283518_d_not(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_9])]) ).

fof(f2869,plain,
    ( ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab))))
    | spl48_25 ),
    inference(avatar_component_clause,[],[f2867]) ).

fof(f3027,plain,
    ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab))),
    inference(resolution,[],[f3014,f1618]) ).

fof(f1618,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1)) ),
    inference(cnf_transformation,[],[f1046]) ).

fof(f1046,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1)) ) ),
    inference(nnf_transformation,[],[f601]) ).

fof(f601,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X0),X1))) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X3,X4] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1244405180_29_ii,X3),X4))
    <=> pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X3),X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3014,plain,
    ~ pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))),
    inference(resolution,[],[f3010,f1621]) ).

fof(f1621,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1))
      | ~ pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X1),X0))) ),
    inference(cnf_transformation,[],[f1047]) ).

fof(f1047,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X1),X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X1),X0)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1)) ) ),
    inference(nnf_transformation,[],[f602]) ).

fof(f602,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X1),X0))) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X4] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X3),X4))
    <=> pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(scratc1461823351ffprop(X4),X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3010,plain,
    ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,sK36(aTP_Lamm_a,aTP_Lamm_ab)),sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab))))),
    inference(resolution,[],[f2575,f2684]) ).

fof(f2684,plain,
    pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,sK36(aTP_Lamm_a,aTP_Lamm_ab)),sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))))),
    inference(resolution,[],[f2679,f1597]) ).

fof(f1597,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
      | pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1))) ),
    inference(cnf_transformation,[],[f1033]) ).

fof(f1033,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X0),X1))
          & pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1))) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X0),X1))
        | ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
    inference(flattening,[],[f1032]) ).

fof(f1032,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X0),X1))
          & pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1))) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X0),X1))
        | ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
    inference(nnf_transformation,[],[f778]) ).

fof(f778,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X0),X1))
        | ~ pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1))) ) ),
    inference(ennf_transformation,[],[f592]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
    <=> ( pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X0),X1)))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X0),X1)) ) ),
    inference(rectify,[],[f316]) ).

fof(f316,axiom,
    ! [X24,X25] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X24),X25))
    <=> ( pp(scratc855283518_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14996922nd_iii,X24),X25)))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X24),X25)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2679,plain,
    ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)),sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab))))),
    inference(resolution,[],[f2670,f1515]) ).

fof(f2575,plain,
    ! [X0] :
      ( ~ pp(scratc855283518_d_not(X0))
      | ~ pp(X0) ),
    inference(resolution,[],[f2047,f1888]) ).

fof(f1888,plain,
    ! [X0] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
      | ~ pp(scratc855283518_d_not(X0)) ),
    inference(definition_unfolding,[],[f1303,f1190]) ).

fof(f1190,plain,
    scratc15259325nd_imp = fimplies,
    inference(cnf_transformation,[],[f116]) ).

fof(f116,axiom,
    scratc15259325nd_imp = fimplies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1303,plain,
    ! [X0] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),fFalse))
      | ~ pp(scratc855283518_d_not(X0)) ),
    inference(cnf_transformation,[],[f898]) ).

fof(f898,plain,
    ! [X0] :
      ( ( pp(scratc855283518_d_not(X0))
        | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),fFalse)) )
      & ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),fFalse))
        | ~ pp(scratc855283518_d_not(X0)) ) ),
    inference(nnf_transformation,[],[f437]) ).

fof(f437,plain,
    ! [X0] :
      ( pp(scratc855283518_d_not(X0))
    <=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),fFalse)) ),
    inference(rectify,[],[f115]) ).

fof(f115,axiom,
    ! [X3] :
      ( pp(scratc855283518_d_not(X3))
    <=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X3),fFalse)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2047,plain,
    ! [X0] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
      | ~ pp(X0) ),
    inference(resolution,[],[f1481,f1182]) ).

fof(f1182,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f390]) ).

fof(f390,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1481,plain,
    ! [X0,X1] :
      ( pp(X1)
      | ~ pp(X0)
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
    inference(cnf_transformation,[],[f532]) ).

fof(f532,plain,
    ! [X0,X1] :
      ( pp(X1)
      | ~ pp(X0)
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
    inference(rectify,[],[f391]) ).

fof(f391,axiom,
    ! [X31,X32] :
      ( pp(X32)
      | ~ pp(X31)
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X31),X32)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2704,plain,
    ( ~ spl48_22
    | ~ spl48_23 ),
    inference(avatar_split_clause,[],[f2690,f2701,f2697]) ).

fof(f2690,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab)))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab)))),sK36(aTP_Lamm_a,aTP_Lamm_ab))) ),
    inference(resolution,[],[f2685,f1575]) ).

fof(f1575,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X1),X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ),
    inference(cnf_transformation,[],[f1019]) ).

fof(f1019,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ) ),
    inference(flattening,[],[f1018]) ).

fof(f1018,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ) ),
    inference(nnf_transformation,[],[f771]) ).

fof(f771,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1)) ) ),
    inference(ennf_transformation,[],[f585]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X0),X1))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X1),X0)) ) ),
    inference(rectify,[],[f307]) ).

fof(f307,axiom,
    ! [X24,X25] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X24),X25))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc551581234lessis,X24),X25))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X25),X24)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2685,plain,
    ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,sK36(aTP_Lamm_a,aTP_Lamm_ab)),sK36(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK36(aTP_Lamm_a,aTP_Lamm_ab))))),
    inference(resolution,[],[f2679,f1598]) ).

fof(f1598,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685564846moreis,X0),X1)) ),
    inference(cnf_transformation,[],[f1033]) ).

fof(f2289,plain,
    ( spl48_6
    | ~ spl48_8 ),
    inference(avatar_split_clause,[],[f2288,f2243,f2099]) ).

fof(f2099,plain,
    ( spl48_6
  <=> ! [X0] : ~ pp(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_6])]) ).

fof(f2243,plain,
    ( spl48_8
  <=> ! [X2,X1] : ~ pp(scratc747818338_d_and(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_8])]) ).

fof(f2288,plain,
    ( ! [X0] : ~ pp(X0)
    | ~ spl48_8 ),
    inference(subsumption_resolution,[],[f2284,f2278]) ).

fof(f2278,plain,
    ( ! [X0,X1] : pp(scratc56298619d_l_ec(X0,X1))
    | ~ spl48_8 ),
    inference(resolution,[],[f2265,f1478]) ).

fof(f1478,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | pp(X0) ),
    inference(cnf_transformation,[],[f529]) ).

fof(f529,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | pp(X0) ),
    inference(rectify,[],[f393]) ).

fof(f393,axiom,
    ! [X31,X32] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X31),X32))
      | pp(X31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2265,plain,
    ( ! [X0,X1] : ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc56298619d_l_ec(X0,X1)),fFalse))
    | ~ spl48_8 ),
    inference(resolution,[],[f2256,f1887]) ).

fof(f1887,plain,
    ! [X0] :
      ( pp(scratc855283518_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
    inference(definition_unfolding,[],[f1304,f1190]) ).

fof(f1304,plain,
    ! [X0] :
      ( pp(scratc855283518_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),fFalse)) ),
    inference(cnf_transformation,[],[f898]) ).

fof(f2256,plain,
    ( ! [X0,X1] : ~ pp(scratc855283518_d_not(scratc56298619d_l_ec(X0,X1)))
    | ~ spl48_8 ),
    inference(resolution,[],[f2244,f1507]) ).

fof(f1507,plain,
    ! [X0,X1] :
      ( pp(scratc747818338_d_and(X0,X1))
      | ~ pp(scratc855283518_d_not(scratc56298619d_l_ec(X0,X1))) ),
    inference(cnf_transformation,[],[f981]) ).

fof(f981,plain,
    ! [X0,X1] :
      ( ( pp(scratc747818338_d_and(X0,X1))
        | ~ pp(scratc855283518_d_not(scratc56298619d_l_ec(X0,X1))) )
      & ( pp(scratc855283518_d_not(scratc56298619d_l_ec(X0,X1)))
        | ~ pp(scratc747818338_d_and(X0,X1)) ) ),
    inference(nnf_transformation,[],[f552]) ).

fof(f552,plain,
    ! [X0,X1] :
      ( pp(scratc747818338_d_and(X0,X1))
    <=> pp(scratc855283518_d_not(scratc56298619d_l_ec(X0,X1))) ),
    inference(rectify,[],[f111]) ).

fof(f111,axiom,
    ! [X3,X4] :
      ( pp(scratc747818338_d_and(X3,X4))
    <=> pp(scratc855283518_d_not(scratc56298619d_l_ec(X3,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2244,plain,
    ( ! [X2,X1] : ~ pp(scratc747818338_d_and(X1,X2))
    | ~ spl48_8 ),
    inference(avatar_component_clause,[],[f2243]) ).

fof(f2284,plain,
    ( ! [X2,X0,X1] :
        ( ~ pp(X0)
        | ~ pp(scratc56298619d_l_ec(X0,scratc56298619d_l_ec(X1,X2))) )
    | ~ spl48_8 ),
    inference(resolution,[],[f2266,f1905]) ).

fof(f1905,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),scratc855283518_d_not(X1)))
      | ~ pp(scratc56298619d_l_ec(X0,X1)) ),
    inference(definition_unfolding,[],[f1504,f1190]) ).

fof(f1504,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),scratc855283518_d_not(X1)))
      | ~ pp(scratc56298619d_l_ec(X0,X1)) ),
    inference(cnf_transformation,[],[f980]) ).

fof(f980,plain,
    ! [X0,X1] :
      ( ( pp(scratc56298619d_l_ec(X0,X1))
        | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),scratc855283518_d_not(X1))) )
      & ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),scratc855283518_d_not(X1)))
        | ~ pp(scratc56298619d_l_ec(X0,X1)) ) ),
    inference(nnf_transformation,[],[f551]) ).

fof(f551,plain,
    ! [X0,X1] :
      ( pp(scratc56298619d_l_ec(X0,X1))
    <=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X0),scratc855283518_d_not(X1))) ),
    inference(rectify,[],[f112]) ).

fof(f112,axiom,
    ! [X3,X4] :
      ( pp(scratc56298619d_l_ec(X3,X4))
    <=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc15259325nd_imp,X3),scratc855283518_d_not(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2266,plain,
    ( ! [X2,X0,X1] :
        ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),scratc855283518_d_not(scratc56298619d_l_ec(X1,X2))))
        | ~ pp(X0) )
    | ~ spl48_8 ),
    inference(resolution,[],[f2256,f1481]) ).

fof(f2248,plain,
    ( spl48_8
    | spl48_9
    | ~ spl48_7 ),
    inference(avatar_split_clause,[],[f2239,f2106,f2246,f2243]) ).

fof(f2106,plain,
    ( spl48_7
  <=> ! [X2,X1,X3] :
        ( ~ pp(scratc747818338_d_and(X1,X2))
        | ~ pp(scratc65156289nd_or3(X3,scratc56298619d_l_ec(X1,X2),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)))
        | pp(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_7])]) ).

fof(f2239,plain,
    ( ! [X2,X0,X1] :
        ( pp(X0)
        | ~ pp(scratc747818338_d_and(X1,X2))
        | pp(scratc855283518_d_not(X0)) )
    | ~ spl48_7 ),
    inference(resolution,[],[f2236,f1478]) ).

fof(f2236,plain,
    ( ! [X2,X0,X1] :
        ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855283518_d_not(X2)),aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855283518_d_not(scratc56298619d_l_ec(X0,X1))),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab))))
        | pp(X2)
        | ~ pp(scratc747818338_d_and(X0,X1)) )
    | ~ spl48_7 ),
    inference(resolution,[],[f2107,f1931]) ).

fof(f1931,plain,
    ! [X2,X0,X1] :
      ( pp(scratc65156289nd_or3(X0,X1,X2))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855283518_d_not(X0)),aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855283518_d_not(X1)),X2))) ),
    inference(definition_unfolding,[],[f1696,f1878,f1878]) ).

fof(f1878,plain,
    ! [X0] : scratc56954624d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc855283518_d_not(X0)),
    inference(definition_unfolding,[],[f1254,f1190]) ).

fof(f1254,plain,
    ! [X0] : aa_boo1142376798l_bool(scratc15259325nd_imp,scratc855283518_d_not(X0)) = scratc56954624d_l_or(X0),
    inference(cnf_transformation,[],[f410]) ).

fof(f410,plain,
    ! [X0] : aa_boo1142376798l_bool(scratc15259325nd_imp,scratc855283518_d_not(X0)) = scratc56954624d_l_or(X0),
    inference(rectify,[],[f110]) ).

fof(f110,axiom,
    ! [X3] : aa_boo1142376798l_bool(scratc15259325nd_imp,scratc855283518_d_not(X3)) = scratc56954624d_l_or(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1696,plain,
    ! [X2,X0,X1] :
      ( pp(scratc65156289nd_or3(X0,X1,X2))
      | ~ pp(aa_bool_bool(scratc56954624d_l_or(X0),aa_bool_bool(scratc56954624d_l_or(X1),X2))) ),
    inference(cnf_transformation,[],[f1079]) ).

fof(f1079,plain,
    ! [X0,X1,X2] :
      ( ( pp(scratc65156289nd_or3(X0,X1,X2))
        | ~ pp(aa_bool_bool(scratc56954624d_l_or(X0),aa_bool_bool(scratc56954624d_l_or(X1),X2))) )
      & ( pp(aa_bool_bool(scratc56954624d_l_or(X0),aa_bool_bool(scratc56954624d_l_or(X1),X2)))
        | ~ pp(scratc65156289nd_or3(X0,X1,X2)) ) ),
    inference(nnf_transformation,[],[f643]) ).

fof(f643,plain,
    ! [X0,X1,X2] :
      ( pp(scratc65156289nd_or3(X0,X1,X2))
    <=> pp(aa_bool_bool(scratc56954624d_l_or(X0),aa_bool_bool(scratc56954624d_l_or(X1),X2))) ),
    inference(rectify,[],[f104]) ).

fof(f104,axiom,
    ! [X3,X4,X5] :
      ( pp(scratc65156289nd_or3(X3,X4,X5))
    <=> pp(aa_bool_bool(scratc56954624d_l_or(X3),aa_bool_bool(scratc56954624d_l_or(X4),X5))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2107,plain,
    ( ! [X2,X3,X1] :
        ( ~ pp(scratc65156289nd_or3(X3,scratc56298619d_l_ec(X1,X2),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)))
        | ~ pp(scratc747818338_d_and(X1,X2))
        | pp(X3) )
    | ~ spl48_7 ),
    inference(avatar_component_clause,[],[f2106]) ).

fof(f2235,plain,
    ~ spl48_6,
    inference(avatar_contradiction_clause,[],[f2234]) ).

fof(f2234,plain,
    ( $false
    | ~ spl48_6 ),
    inference(subsumption_resolution,[],[f2160,f2100]) ).

fof(f2100,plain,
    ( ! [X0] : ~ pp(X0)
    | ~ spl48_6 ),
    inference(avatar_component_clause,[],[f2099]) ).

fof(f2160,plain,
    ( ! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X0),scratc1907756850nd_n_1))
    | ~ spl48_6 ),
    inference(resolution,[],[f2100,f1397]) ).

fof(f1397,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X0),scratc1907756850nd_n_1)) ),
    inference(cnf_transformation,[],[f946]) ).

fof(f946,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0))
        | ( ~ pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(aTP_Lamm_af,X0)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X0),scratc1907756850nd_n_1)) ) )
      & ( pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(aTP_Lamm_af,X0)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X0),scratc1907756850nd_n_1))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0)) ) ),
    inference(flattening,[],[f945]) ).

fof(f945,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0))
        | ( ~ pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(aTP_Lamm_af,X0)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X0),scratc1907756850nd_n_1)) ) )
      & ( pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(aTP_Lamm_af,X0)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X0),scratc1907756850nd_n_1))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0)) ) ),
    inference(nnf_transformation,[],[f745]) ).

fof(f745,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0))
    <=> ( pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(aTP_Lamm_af,X0)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X0),scratc1907756850nd_n_1)) ) ),
    inference(ennf_transformation,[],[f481]) ).

fof(f481,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X0),scratc1907756850nd_n_1))
       => pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(aTP_Lamm_af,X0))) ) ),
    inference(rectify,[],[f247]) ).

fof(f247,axiom,
    ! [X24] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X24))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc56304457nd_nis,X24),scratc1907756850nd_n_1))
       => pp(aa_fun171081125l_bool(scratc1764858803n_some,aa_TPT43085870d_bool(aTP_Lamm_af,X24))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2108,plain,
    ( spl48_7
    | spl48_6
    | ~ spl48_5 ),
    inference(avatar_split_clause,[],[f2103,f2096,f2099,f2106]) ).

fof(f2096,plain,
    ( spl48_5
  <=> ! [X4,X3,X2,X1] :
        ( ~ pp(X1)
        | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),scratc65156289nd_or3(X2,scratc56298619d_l_ec(X3,X4),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab))))
        | ~ pp(scratc747818338_d_and(X3,X4))
        | pp(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_5])]) ).

fof(f2103,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ pp(X0)
        | ~ pp(scratc747818338_d_and(X1,X2))
        | pp(X3)
        | ~ pp(scratc65156289nd_or3(X3,scratc56298619d_l_ec(X1,X2),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab))) )
    | ~ spl48_5 ),
    inference(resolution,[],[f2097,f1477]) ).

fof(f1477,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0))
      | ~ pp(X0) ),
    inference(cnf_transformation,[],[f528]) ).

fof(f528,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0))
      | ~ pp(X0) ),
    inference(rectify,[],[f392]) ).

fof(f392,axiom,
    ! [X32,X31] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X31),X32))
      | ~ pp(X32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2097,plain,
    ( ! [X2,X3,X1,X4] :
        ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),scratc65156289nd_or3(X2,scratc56298619d_l_ec(X3,X4),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab))))
        | ~ pp(X1)
        | ~ pp(scratc747818338_d_and(X3,X4))
        | pp(X2) )
    | ~ spl48_5 ),
    inference(avatar_component_clause,[],[f2096]) ).

fof(f2101,plain,
    ( spl48_5
    | spl48_6 ),
    inference(avatar_split_clause,[],[f2092,f2099,f2096]) ).

fof(f2092,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pp(X0)
      | ~ pp(X1)
      | pp(X2)
      | ~ pp(scratc747818338_d_and(X3,X4))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),scratc65156289nd_or3(X2,scratc56298619d_l_ec(X3,X4),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)))) ),
    inference(resolution,[],[f2087,f1477]) ).

fof(f2087,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),scratc65156289nd_or3(X2,scratc56298619d_l_ec(X3,X4),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)))))
      | ~ pp(X0)
      | ~ pp(X1)
      | pp(X2)
      | ~ pp(scratc747818338_d_and(X3,X4)) ),
    inference(resolution,[],[f2084,f1506]) ).

fof(f1506,plain,
    ! [X0,X1] :
      ( pp(scratc855283518_d_not(scratc56298619d_l_ec(X0,X1)))
      | ~ pp(scratc747818338_d_and(X0,X1)) ),
    inference(cnf_transformation,[],[f981]) ).

fof(f2084,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pp(scratc855283518_d_not(X0))
      | ~ pp(X1)
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),aa_bool_bool(aa_boo1142376798l_bool(fimplies,X2),scratc65156289nd_or3(X3,X0,aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)))))
      | ~ pp(X2)
      | pp(X3) ),
    inference(resolution,[],[f2067,f1478]) ).

fof(f2067,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X3),fFalse))
      | ~ pp(scratc855283518_d_not(X1))
      | ~ pp(X2)
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X2),aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),scratc65156289nd_or3(X3,X1,aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)))))
      | ~ pp(X0) ),
    inference(resolution,[],[f2059,f1887]) ).

fof(f2059,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pp(scratc855283518_d_not(X0))
      | ~ pp(X1)
      | ~ pp(scratc855283518_d_not(X2))
      | ~ pp(X3)
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X3),aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),scratc65156289nd_or3(X0,X2,aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab))))) ),
    inference(resolution,[],[f2056,f1481]) ).

fof(f2056,plain,
    ! [X2,X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X2),scratc65156289nd_or3(X1,X0,aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab))))
      | ~ pp(scratc855283518_d_not(X1))
      | ~ pp(X2)
      | ~ pp(scratc855283518_d_not(X0)) ),
    inference(resolution,[],[f2053,f1481]) ).

fof(f2053,plain,
    ! [X0,X1] :
      ( ~ pp(scratc65156289nd_or3(X0,X1,aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)))
      | ~ pp(scratc855283518_d_not(X1))
      | ~ pp(scratc855283518_d_not(X0)) ),
    inference(resolution,[],[f2050,f1932]) ).

fof(f1932,plain,
    ! [X2,X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855283518_d_not(X0)),aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855283518_d_not(X1)),X2)))
      | ~ pp(scratc65156289nd_or3(X0,X1,X2)) ),
    inference(definition_unfolding,[],[f1695,f1878,f1878]) ).

fof(f1695,plain,
    ! [X2,X0,X1] :
      ( pp(aa_bool_bool(scratc56954624d_l_or(X0),aa_bool_bool(scratc56954624d_l_or(X1),X2)))
      | ~ pp(scratc65156289nd_or3(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f1079]) ).

fof(f2050,plain,
    ! [X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab))))
      | ~ pp(X1)
      | ~ pp(X0) ),
    inference(resolution,[],[f2046,f1481]) ).

fof(f2046,plain,
    ! [X0] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),aa_fun171081125l_bool(scratc1910373353all_of(aTP_Lamm_a),aTP_Lamm_ab)))
      | ~ pp(X0) ),
    inference(resolution,[],[f1481,f1180]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM655+4 : TPTP v8.2.0. Released v7.3.0.
% 0.07/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Jun 22 20:28:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (11096)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.22/0.45  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (11099)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.22/0.45  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (11094)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.45  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (11098)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.45  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (11097)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.22/0.45  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (11095)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.45  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (11100)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.22/0.45  % (11099)Refutation not found, incomplete strategy% (11099)------------------------------
% 0.22/0.45  % (11099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45  % (11099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45  % (11099)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45  
% 0.22/0.45  % (11099)Memory used [KB]: 1447
% 0.22/0.45  % (11099)Time elapsed: 0.005 s
% 0.22/0.45  % (11099)Instructions burned: 5 (million)
% 0.22/0.45  % (11099)------------------------------
% 0.22/0.45  % (11099)------------------------------
% 0.22/0.45  % (11100)Refutation not found, incomplete strategy% (11100)------------------------------
% 0.22/0.45  % (11100)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45  % (11100)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45  % (11100)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45  
% 0.22/0.45  % (11100)Memory used [KB]: 1446
% 0.22/0.45  % (11100)Time elapsed: 0.006 s
% 0.22/0.45  % (11100)Instructions burned: 5 (million)
% 0.22/0.45  % (11100)------------------------------
% 0.22/0.45  % (11100)------------------------------
% 0.22/0.51  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51  % (11102)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2999ds/145Mi)
% 0.22/0.51  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51  % (11101)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2999ds/126Mi)
% 0.22/0.51  % (11102)Refutation not found, incomplete strategy% (11102)------------------------------
% 0.22/0.51  % (11102)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (11102)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (11102)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51  
% 0.22/0.51  % (11102)Memory used [KB]: 1453
% 0.22/0.51  % (11102)Time elapsed: 0.003 s
% 0.22/0.51  % (11102)Instructions burned: 4 (million)
% 0.22/0.51  % (11102)------------------------------
% 0.22/0.51  % (11102)------------------------------
% 0.22/0.52  % (11098)Instruction limit reached!
% 0.22/0.52  % (11098)------------------------------
% 0.22/0.52  % (11098)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.52  % (11098)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.52  % (11098)Termination reason: Time limit
% 0.22/0.52  % (11098)Termination phase: Saturation
% 0.22/0.52  
% 0.22/0.52  % (11098)Memory used [KB]: 2945
% 0.22/0.52  % (11098)Time elapsed: 0.070 s
% 0.22/0.52  % (11098)Instructions burned: 109 (million)
% 0.22/0.55  % (11101)Instruction limit reached!
% 0.22/0.55  % (11101)------------------------------
% 0.22/0.55  % (11101)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.55  % (11101)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.55  % (11101)Termination reason: Time limit
% 0.22/0.55  % (11101)Termination phase: Saturation
% 0.22/0.55  
% 0.22/0.55  % (11101)Memory used [KB]: 3443
% 0.22/0.55  % (11101)Time elapsed: 0.044 s
% 0.22/0.55  % (11101)Instructions burned: 127 (million)
% 0.22/0.55  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.55  % (11104)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 0.22/0.56  % (11104)Refutation not found, incomplete strategy% (11104)------------------------------
% 0.22/0.56  % (11104)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56  % (11104)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56  % (11104)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.56  
% 0.22/0.56  % (11104)Memory used [KB]: 1634
% 0.22/0.56  % (11104)Time elapsed: 0.006 s
% 0.22/0.56  % (11104)Instructions burned: 14 (million)
% 0.22/0.56  % (11104)------------------------------
% 0.22/0.56  % (11104)------------------------------
% 0.22/0.57  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.57  % (11105)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=226:nm=2_0 on theBenchmark for (2998ds/226Mi)
% 0.22/0.58  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.58  % (11107)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=247:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/247Mi)
% 0.22/0.59  % (11093)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.59  % (11108)lrs+2_1:1_sil=2000:sos=on:urr=on:i=230:kws=inv_frequency:ss=axioms:sd=3:avsq=on:br=off_0 on theBenchmark for (2998ds/230Mi)
% 0.22/0.60  % (11108)Refutation not found, incomplete strategy% (11108)------------------------------
% 0.22/0.60  % (11108)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.60  % (11108)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.60  % (11108)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.60  
% 0.22/0.60  % (11108)Memory used [KB]: 1448
% 0.22/0.60  % (11108)Time elapsed: 0.002 s
% 0.22/0.60  % (11108)Instructions burned: 4 (million)
% 1.58/0.60  % (11108)------------------------------
% 1.58/0.60  % (11108)------------------------------
% 1.58/0.60  % (11107)Refutation not found, incomplete strategy% (11107)------------------------------
% 1.58/0.60  % (11107)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.58/0.60  % (11107)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.58/0.60  % (11107)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.60  
% 1.58/0.60  % (11107)Memory used [KB]: 2041
% 1.58/0.60  % (11107)Time elapsed: 0.021 s
% 1.58/0.60  % (11107)Instructions burned: 51 (million)
% 1.58/0.60  % (11107)------------------------------
% 1.58/0.60  % (11107)------------------------------
% 1.76/0.63  % (11093)Running in auto input_syntax mode. Trying TPTP
% 1.76/0.63  % (11109)dis-1010_76381:524288_drc=off:sil=4000:irw=on:sp=frequency:lma=on:spb=goal:rnwc=on:gs=on:nwc=13.9901:s2agt=10:kmz=on:updr=off:sac=on:newcnf=on:gsem=on:cond=fast:s2a=on:i=231:s2at=6:kws=inv_frequency:awrs=converge:awrsf=968:bd=off:nm=10:rawr=on:sfv=off:alpa=random_0 on theBenchmark for (2998ds/231Mi)
% 1.76/0.64  % (11093)Running in auto input_syntax mode. Trying TPTP
% 1.76/0.64  % (11110)lrs+1011_1:1_sil=8000:nicw=on:i=532:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2997ds/532Mi)
% 1.83/0.64  % (11110)Refutation not found, incomplete strategy% (11110)------------------------------
% 1.83/0.64  % (11110)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.64  % (11110)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.64  % (11110)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.64  
% 1.83/0.64  % (11110)Memory used [KB]: 1491
% 1.83/0.64  % (11110)Time elapsed: 0.004 s
% 1.83/0.64  % (11110)Instructions burned: 7 (million)
% 1.83/0.64  % (11110)------------------------------
% 1.83/0.64  % (11110)------------------------------
% 1.83/0.65  % (11105)Instruction limit reached!
% 1.83/0.65  % (11105)------------------------------
% 1.83/0.65  % (11105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.65  % (11105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.65  % (11105)Termination reason: Time limit
% 1.83/0.65  % (11105)Termination phase: Saturation
% 1.83/0.65  
% 1.83/0.65  % (11105)Memory used [KB]: 3809
% 1.83/0.65  % (11105)Time elapsed: 0.080 s
% 1.83/0.65  % (11105)Instructions burned: 227 (million)
% 1.83/0.68  % (11093)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.68  % (11111)dis-1010_1:2_bsr=unit_only:sil=32000:tgt=full:i=1280:nm=16:bd=off_0 on theBenchmark for (2997ds/1280Mi)
% 1.83/0.68  % (11093)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.68  % (11112)dis+1011_1:16_sil=2000:plsq=on:sos=on:st=3.0:i=134:sd=1:av=off:ss=axioms:lsd=10:plsql=on_0 on theBenchmark for (2997ds/134Mi)
% 1.83/0.68  % (11112)Refutation not found, incomplete strategy% (11112)------------------------------
% 1.83/0.68  % (11112)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.68  % (11112)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.68  % (11112)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.68  
% 1.83/0.68  % (11112)Memory used [KB]: 1445
% 1.83/0.68  % (11112)Time elapsed: 0.003 s
% 1.83/0.68  % (11112)Instructions burned: 4 (million)
% 1.83/0.68  % (11112)------------------------------
% 1.83/0.68  % (11112)------------------------------
% 2.20/0.72  % (11093)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.72  % (11113)dis-1010_8:1_sil=64000:sp=occurrence:sos=on:st=2.0:i=135:sd=3:bd=off:ss=axioms:acc=model:to=lpo:sup=off:fs=off:fsr=off:sgt=32_0 on theBenchmark for (2997ds/135Mi)
% 2.20/0.72  % (11109)Instruction limit reached!
% 2.20/0.72  % (11109)------------------------------
% 2.20/0.72  % (11109)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.20/0.72  % (11109)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.20/0.72  % (11109)Termination reason: Time limit
% 2.20/0.72  % (11109)Termination phase: Saturation
% 2.20/0.72  
% 2.20/0.72  % (11109)Memory used [KB]: 4889
% 2.20/0.72  % (11109)Time elapsed: 0.090 s
% 2.20/0.72  % (11109)Instructions burned: 231 (million)
% 2.20/0.73  % (11113)Refutation not found, incomplete strategy% (11113)------------------------------
% 2.20/0.73  % (11113)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.20/0.73  % (11113)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.20/0.73  % (11113)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.73  
% 2.20/0.73  % (11113)Memory used [KB]: 2055
% 2.20/0.73  % (11113)Time elapsed: 0.010 s
% 2.20/0.73  % (11113)Instructions burned: 29 (million)
% 2.20/0.73  % (11113)------------------------------
% 2.20/0.73  % (11113)------------------------------
% 2.20/0.75  % (11093)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.75  % (11114)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=139:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/139Mi)
% 2.20/0.76  % (11093)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.76  % (11115)ott+1011_1:3_drc=encompass:sil=256000:bsd=on:sp=occurrence:sos=on:newcnf=on:i=160:afp=1:aac=none:amm=off:afq=3.64962_0 on theBenchmark for (2996ds/160Mi)
% 2.61/0.80  % (11114)Instruction limit reached!
% 2.61/0.80  % (11114)------------------------------
% 2.61/0.80  % (11114)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.61/0.80  % (11114)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.61/0.80  % (11114)Termination reason: Time limit
% 2.61/0.80  % (11114)Termination phase: Saturation
% 2.61/0.80  
% 2.61/0.80  % (11114)Memory used [KB]: 3463
% 2.61/0.80  % (11114)Time elapsed: 0.068 s
% 2.61/0.80  % (11114)Instructions burned: 139 (million)
% 2.61/0.81  % (11115)Instruction limit reached!
% 2.61/0.81  % (11115)------------------------------
% 2.61/0.81  % (11115)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.61/0.81  % (11115)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.61/0.81  % (11115)Termination reason: Time limit
% 2.61/0.81  % (11115)Termination phase: Saturation
% 2.61/0.81  
% 2.61/0.81  % (11115)Memory used [KB]: 3559
% 2.61/0.81  % (11115)Time elapsed: 0.053 s
% 2.61/0.81  % (11115)Instructions burned: 161 (million)
% 2.61/0.84  % (11093)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.84  % (11116)dis-1002_1:1_to=lpo:drc=encompass:sil=2000:sp=const_max:nwc=10.0:s2a=on:i=194:s2at=2.0:afp=10:ins=16:afq=1.4:aac=none:rawr=on:fsr=off:alpa=true_0 on theBenchmark for (2996ds/194Mi)
% 2.61/0.85  % (11093)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.85  % (11117)lrs-1010_529157:524288_drc=off:sil=4000:fde=none:sp=occurrence:sos=on:lma=on:abs=on:rnwc=on:nwc=23.317:i=385:sd=12:bd=off:nm=27:ins=3:amm=off:ss=axioms:nicw=on_0 on theBenchmark for (2995ds/385Mi)
% 3.12/0.85  % (11117)Refutation not found, incomplete strategy% (11117)------------------------------
% 3.12/0.85  % (11117)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.12/0.85  % (11117)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.12/0.85  % (11117)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.85  
% 3.12/0.85  % (11117)Memory used [KB]: 1450
% 3.12/0.85  % (11117)Time elapsed: 0.004 s
% 3.12/0.85  % (11117)Instructions burned: 5 (million)
% 3.12/0.85  % (11117)------------------------------
% 3.12/0.85  % (11117)------------------------------
% 3.29/0.89  % (11093)Running in auto input_syntax mode. Trying TPTP
% 3.29/0.89  % (11118)dis+1011_11:1_sil=2000:avsq=on:i=293:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/293Mi)
% 3.29/0.89  % (11116)Instruction limit reached!
% 3.29/0.89  % (11116)------------------------------
% 3.29/0.89  % (11116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.29/0.89  % (11116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.29/0.89  % (11116)Termination reason: Time limit
% 3.29/0.89  % (11116)Termination phase: Saturation
% 3.29/0.89  
% 3.29/0.89  % (11116)Memory used [KB]: 2902
% 3.29/0.89  % (11116)Time elapsed: 0.078 s
% 3.29/0.89  % (11116)Instructions burned: 197 (million)
% 3.29/0.92  % (11093)Running in auto input_syntax mode. Trying TPTP
% 3.29/0.92  % (11119)lrs+11_1:1_sos=on:urr=on:s2a=on:i=178:sd=1:aac=none:ss=axioms:gsp=on:sil=128000:nm=3:bce=on:fd=preordered:alpa=true:etr=on:bd=off:lcm=predicate_0 on theBenchmark for (2995ds/178Mi)
% 3.55/0.93  % (11119)Refutation not found, incomplete strategy% (11119)------------------------------
% 3.55/0.93  % (11119)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.55/0.93  % (11119)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.55/0.93  % (11119)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.93  
% 3.55/0.93  % (11119)Memory used [KB]: 1445
% 3.55/0.93  % (11119)Time elapsed: 0.003 s
% 3.55/0.93  % (11119)Instructions burned: 5 (million)
% 3.55/0.93  % (11119)------------------------------
% 3.55/0.93  % (11119)------------------------------
% 3.65/0.96  % (11093)Running in auto input_syntax mode. Trying TPTP
% 3.65/0.96  % (11120)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=163:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2994ds/163Mi)
% 3.65/0.99  % (11118)Instruction limit reached!
% 3.65/0.99  % (11118)------------------------------
% 3.65/0.99  % (11118)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.65/0.99  % (11118)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.65/0.99  % (11118)Termination reason: Time limit
% 3.65/0.99  % (11118)Termination phase: Saturation
% 3.65/0.99  
% 3.65/0.99  % (11118)Memory used [KB]: 4693
% 3.65/0.99  % (11118)Time elapsed: 0.129 s
% 3.65/0.99  % (11118)Instructions burned: 293 (million)
% 4.07/1.02  % (11120)Instruction limit reached!
% 4.07/1.02  % (11120)------------------------------
% 4.07/1.02  % (11120)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.07/1.02  % (11120)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.07/1.02  % (11120)Termination reason: Time limit
% 4.07/1.02  % (11120)Termination phase: Saturation
% 4.07/1.02  
% 4.07/1.02  % (11120)Memory used [KB]: 3839
% 4.07/1.02  % (11120)Time elapsed: 0.081 s
% 4.07/1.02  % (11120)Instructions burned: 165 (million)
% 4.07/1.05  % (11093)Running in auto input_syntax mode. Trying TPTP
% 4.07/1.05  % (11124)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=152:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2993ds/152Mi)
% 4.07/1.05  % (11124)Refutation not found, incomplete strategy% (11124)------------------------------
% 4.07/1.05  % (11124)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.07/1.05  % (11124)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.07/1.05  % (11124)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.05  
% 4.07/1.05  % (11124)Memory used [KB]: 1450
% 4.07/1.05  % (11124)Time elapsed: 0.003 s
% 4.07/1.05  % (11124)Instructions burned: 4 (million)
% 4.07/1.05  % (11124)------------------------------
% 4.07/1.05  % (11124)------------------------------
% 4.07/1.06  % (11093)Running in auto input_syntax mode. Trying TPTP
% 4.07/1.06  % (11123)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=674:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2994ds/674Mi)
% 4.42/1.09  % (11093)Running in auto input_syntax mode. Trying TPTP
% 4.42/1.09  % (11125)lrs+2_2742125:1048576_drc=encompass:sil=2000:sp=const_min:sos=on:lcm=reverse:fd=preordered:nwc=16.4028:newcnf=on:i=172:sd=2:kws=precedence:bd=off:uhcvi=on:ss=axioms:rawr=on:awrs=converge:awrsf=493:cond=fast:tgt=full_0 on theBenchmark for (2993ds/172Mi)
% 4.42/1.09  % (11125)Refutation not found, incomplete strategy% (11125)------------------------------
% 4.42/1.09  % (11125)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.42/1.09  % (11125)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.42/1.09  % (11125)Termination reason: Refutation not found, incomplete strategy
% 4.42/1.09  
% 4.42/1.09  % (11125)Memory used [KB]: 1475
% 4.42/1.09  % (11125)Time elapsed: 0.003 s
% 4.42/1.09  % (11125)Instructions burned: 5 (million)
% 4.42/1.09  % (11125)------------------------------
% 4.42/1.09  % (11125)------------------------------
% 4.42/1.12  % (11093)Running in auto input_syntax mode. Trying TPTP
% 4.42/1.12  % (11126)lrs+1002_1:128_to=lpo:sil=2000:plsq=on:plsqr=7,2:sos=on:spb=units:fd=preordered:nwc=5.0:i=176:bd=off:nm=4:av=off:rawr=on:newcnf=on:fs=off:fsr=off_0 on theBenchmark for (2992ds/176Mi)
% 4.42/1.13  % (11111)Instruction limit reached!
% 4.42/1.13  % (11111)------------------------------
% 4.42/1.13  % (11111)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.42/1.13  % (11111)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.42/1.13  % (11111)Termination reason: Time limit
% 4.42/1.13  % (11111)Termination phase: Saturation
% 4.42/1.13  
% 4.42/1.13  % (11111)Memory used [KB]: 11236
% 4.42/1.13  % (11111)Time elapsed: 0.456 s
% 4.42/1.13  % (11111)Instructions burned: 1280 (million)
% 4.42/1.13  % (11126)Refutation not found, incomplete strategy% (11126)------------------------------
% 4.42/1.13  % (11126)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.42/1.13  % (11126)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.42/1.13  % (11126)Termination reason: Refutation not found, incomplete strategy
% 4.42/1.13  
% 4.42/1.13  % (11126)Memory used [KB]: 2451
% 4.42/1.13  % (11126)Time elapsed: 0.014 s
% 4.42/1.13  % (11126)Instructions burned: 48 (million)
% 4.42/1.14  % (11126)------------------------------
% 4.42/1.14  % (11126)------------------------------
% 5.54/1.17  % (11093)Running in auto input_syntax mode. Trying TPTP
% 5.54/1.17  % (11127)dis+1011_2:3_sil=8000:tgt=ground:fde=none:spb=goal_then_units:acc=on:nwc=4.0:updr=off:i=813:kws=inv_frequency:nm=16:ins=3:rawr=on:amm=sco_0 on theBenchmark for (2992ds/813Mi)
% 5.54/1.17  % (11093)Running in auto input_syntax mode. Trying TPTP
% 5.54/1.17  % (11128)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=198:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2992ds/198Mi)
% 5.76/1.23  % (11128)Instruction limit reached!
% 5.76/1.23  % (11128)------------------------------
% 5.76/1.23  % (11128)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.76/1.23  % (11128)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.76/1.23  % (11128)Termination reason: Time limit
% 5.76/1.23  % (11128)Termination phase: Saturation
% 5.76/1.23  
% 5.76/1.23  % (11128)Memory used [KB]: 3587
% 5.76/1.23  % (11128)Time elapsed: 0.068 s
% 5.76/1.23  % (11128)Instructions burned: 200 (million)
% 6.09/1.27  % (11093)Running in auto input_syntax mode. Trying TPTP
% 6.09/1.27  % (11129)dis+2_1:5_to=lpo:drc=off:sil=8000:tgt=full:sp=reverse_frequency:spb=goal_then_units:urr=ec_only:i=154:rawr=on:fsr=off:ss=included_0 on theBenchmark for (2991ds/154Mi)
% 6.44/1.31  % (11123)Instruction limit reached!
% 6.44/1.31  % (11123)------------------------------
% 6.44/1.31  % (11123)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.44/1.31  % (11123)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.44/1.31  % (11123)Termination reason: Time limit
% 6.44/1.31  % (11123)Termination phase: Saturation
% 6.44/1.31  
% 6.44/1.31  % (11123)Memory used [KB]: 9609
% 6.44/1.31  % (11123)Time elapsed: 0.276 s
% 6.44/1.31  % (11123)Instructions burned: 674 (million)
% 6.44/1.32  % (11129)Instruction limit reached!
% 6.44/1.32  % (11129)------------------------------
% 6.44/1.32  % (11129)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.44/1.32  % (11129)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.44/1.32  % (11129)Termination reason: Time limit
% 6.44/1.32  % (11129)Termination phase: Saturation
% 6.44/1.32  
% 6.44/1.32  % (11129)Memory used [KB]: 3588
% 6.44/1.32  % (11129)Time elapsed: 0.053 s
% 6.44/1.32  % (11129)Instructions burned: 154 (million)
% 6.44/1.34  % (11093)Running in auto input_syntax mode. Trying TPTP
% 6.44/1.34  % (11130)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=214:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on theBenchmark for (2990ds/214Mi)
% 6.44/1.35  % (11093)Running in auto input_syntax mode. Trying TPTP
% 6.44/1.35  % (11131)lrs+1002_1:8_sil=16000:tgt=ground:fde=none:sp=const_frequency:sos=on:nwc=3.0:i=157_0 on theBenchmark for (2990ds/157Mi)
% 6.83/1.37  % (11131)Refutation not found, incomplete strategy% (11131)------------------------------
% 6.83/1.37  % (11131)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.83/1.37  % (11131)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.83/1.37  % (11131)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.37  
% 6.83/1.37  % (11131)Memory used [KB]: 3002
% 6.83/1.37  % (11131)Time elapsed: 0.021 s
% 6.83/1.37  % (11131)Instructions burned: 70 (million)
% 6.83/1.37  % (11131)------------------------------
% 6.83/1.37  % (11131)------------------------------
% 6.83/1.41  % (11093)Running in auto input_syntax mode. Trying TPTP
% 6.83/1.41  % (11133)dis+1011_1:1_sil=2000:fd=off:nwc=10.0:s2a=on:i=542:bd=off:nm=2:sup=off:s2at=4.0_0 on theBenchmark for (2990ds/542Mi)
% 6.83/1.43  % (11130)Instruction limit reached!
% 6.83/1.43  % (11130)------------------------------
% 6.83/1.43  % (11130)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.83/1.43  % (11130)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.83/1.43  % (11130)Termination reason: Time limit
% 6.83/1.43  % (11130)Termination phase: Saturation
% 6.83/1.43  
% 6.83/1.43  % (11130)Memory used [KB]: 3381
% 6.83/1.43  % (11130)Time elapsed: 0.086 s
% 6.83/1.43  % (11130)Instructions burned: 215 (million)
% 6.83/1.45  % (11133)First to succeed.
% 7.52/1.45  % (11133)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11093"
% 7.52/1.45  % (11093)Running in auto input_syntax mode. Trying TPTP
% 7.52/1.45  % (11133)Refutation found. Thanks to Tanya!
% 7.52/1.45  % SZS status Theorem for theBenchmark
% 7.52/1.45  % SZS output start Proof for theBenchmark
% See solution above
% 7.52/1.46  % (11133)------------------------------
% 7.52/1.46  % (11133)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.52/1.46  % (11133)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.52/1.46  % (11133)Termination reason: Refutation
% 7.52/1.46  
% 7.52/1.46  % (11133)Memory used [KB]: 3114
% 7.52/1.46  % (11133)Time elapsed: 0.047 s
% 7.52/1.46  % (11133)Instructions burned: 148 (million)
% 7.52/1.46  % (11133)------------------------------
% 7.52/1.46  % (11133)------------------------------
% 7.52/1.46  % (11093)Success in time 1.063 s
%------------------------------------------------------------------------------