TSTP Solution File: SWC026+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC026+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 : Wed May  1 03:59:16 EDT 2024

% Result   : Theorem 0.59s 0.81s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   3 unt;   0 def)
%            Number of atoms       :  105 (  86 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  130 (  46   ~;  40   |;  33   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (  12   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,plain,
    $false,
    inference(avatar_sat_refutation,[],[f123,f124,f125,f126]) ).

fof(f126,plain,
    ( spl4_2
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f105,f116,f120]) ).

fof(f120,plain,
    ( spl4_2
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f116,plain,
    ( spl4_1
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f105,plain,
    ( nil != sK2
    | nil = sK3 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( ( ( nil != sK1
        & nil = sK0 )
      | ( nil != sK0
        & nil = sK1 ) )
    & ( nil != sK3
      | nil = sK2 )
    & ( nil != sK2
      | nil = sK3 )
    & sK0 = sK2
    & sK1 = sK3 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f100,f101]) ).

fof(f101,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( ( nil != X1
            & nil = X0 )
          | ( nil != X0
            & nil = X1 ) )
        & ( nil != X3
          | nil = X2 )
        & ( nil != X2
          | nil = X3 )
        & X0 = X2
        & X1 = X3 )
   => ( ( ( nil != sK1
          & nil = sK0 )
        | ( nil != sK0
          & nil = sK1 ) )
      & ( nil != sK3
        | nil = sK2 )
      & ( nil != sK2
        | nil = sK3 )
      & sK0 = sK2
      & sK1 = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0,X1,X2,X3] :
      ( ( ( nil != X1
          & nil = X0 )
        | ( nil != X0
          & nil = X1 ) )
      & ( nil != X3
        | nil = X2 )
      & ( nil != X2
        | nil = X3 )
      & X0 = X2
      & X1 = X3 ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( ( nil = X1
            | nil != X0 )
          & ( nil = X0
            | nil != X1 ) )
        | ( nil = X3
          & nil != X2 )
        | ( nil = X2
          & nil != X3 )
        | X0 != X2
        | X1 != X3 ),
    inference(pure_predicate_removal,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil = X1
                          | nil != X0 )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ( nil = X3
                        & nil != X2 )
                      | ( nil = X2
                        & nil != X3 )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil = X1
                        | nil != X0 )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ( nil = X3
                      & nil != X2 )
                    | ( nil = X2
                      & nil != X3 )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BfrHsVeCKF/Vampire---4.8_26267',co1) ).

fof(f125,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f106,f120,f116]) ).

fof(f106,plain,
    ( nil != sK3
    | nil = sK2 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f124,plain,
    ( spl4_2
    | spl4_1 ),
    inference(avatar_split_clause,[],[f114,f116,f120]) ).

fof(f114,plain,
    ( nil = sK2
    | nil = sK3 ),
    inference(definition_unfolding,[],[f107,f104,f103]) ).

fof(f103,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f102]) ).

fof(f104,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f102]) ).

fof(f107,plain,
    ( nil = sK0
    | nil = sK1 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f123,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f111,f120,f116]) ).

fof(f111,plain,
    ( nil != sK3
    | nil != sK2 ),
    inference(definition_unfolding,[],[f110,f103,f104]) ).

fof(f110,plain,
    ( nil != sK1
    | nil != sK0 ),
    inference(cnf_transformation,[],[f102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC026+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:53:56 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BfrHsVeCKF/Vampire---4.8_26267
% 0.59/0.81  % (26385)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.81  % (26381)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.81  % (26384)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.81  % (26383)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.81  % (26386)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.81  % (26387)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.59/0.81  % (26382)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.59/0.81  % (26388)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.59/0.81  % (26383)First to succeed.
% 0.59/0.81  % (26381)Also succeeded, but the first one will report.
% 0.59/0.81  % (26388)Also succeeded, but the first one will report.
% 0.59/0.81  % (26383)Refutation found. Thanks to Tanya!
% 0.59/0.81  % SZS status Theorem for Vampire---4
% 0.59/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.81  % (26383)------------------------------
% 0.59/0.81  % (26383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81  % (26383)Termination reason: Refutation
% 0.59/0.81  
% 0.59/0.81  % (26383)Memory used [KB]: 1053
% 0.59/0.81  % (26383)Time elapsed: 0.004 s
% 0.59/0.81  % (26383)Instructions burned: 3 (million)
% 0.59/0.81  % (26383)------------------------------
% 0.59/0.81  % (26383)------------------------------
% 0.59/0.82  % (26375)Success in time 0.492 s
% 0.59/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------