TSTP Solution File: SWC035+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC035+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 03:59:20 EDT 2024

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   52 (  43 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   57 (  20   ~;  12   |;  16   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (  12   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f111,plain,
    $false,
    inference(trivial_inequality_removal,[],[f110]) ).

fof(f110,plain,
    sK3 != sK3,
    inference(definition_unfolding,[],[f107,f108,f109]) ).

fof(f109,plain,
    sK0 = sK3,
    inference(definition_unfolding,[],[f105,f106]) ).

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

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

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

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

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

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( nil = X0
                    | X2 != X3
                    | X0 != X2
                    | X1 != X3
                    | nil != X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3jeyzFR4hr/Vampire---4.8_16829',co1) ).

fof(f105,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f102]) ).

fof(f108,plain,
    nil = sK3,
    inference(definition_unfolding,[],[f103,f104]) ).

fof(f104,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f102]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC035+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:15:49 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.3jeyzFR4hr/Vampire---4.8_16829
% 0.56/0.76  % (17031)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76  % (17033)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 (2996ds/56Mi)
% 0.56/0.76  % (17031)First to succeed.
% 0.56/0.76  % (17026)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 (2996ds/34Mi)
% 0.56/0.76  % (17028)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (17033)Also succeeded, but the first one will report.
% 0.56/0.76  % (17027)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 (2996ds/51Mi)
% 0.56/0.76  % (17029)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.76  % (17030)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 (2996ds/34Mi)
% 0.56/0.76  % (17032)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 (2996ds/83Mi)
% 0.56/0.76  % (17031)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Theorem for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (17031)------------------------------
% 0.56/0.76  % (17031)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (17031)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (17031)Memory used [KB]: 1049
% 0.56/0.76  % (17031)Time elapsed: 0.002 s
% 0.56/0.76  % (17031)Instructions burned: 2 (million)
% 0.56/0.76  % (17031)------------------------------
% 0.56/0.76  % (17031)------------------------------
% 0.56/0.76  % (16989)Success in time 0.388 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------