TSTP Solution File: SET056+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET056+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n008.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 : Sun May  5 09:03:27 EDT 2024

% Result   : Theorem 0.56s 0.73s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   53 (   7 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   52 (  20   ~;  19   |;   9   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (  26   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f74,plain,
    $false,
    inference(subsumption_resolution,[],[f71,f68]) ).

fof(f68,plain,
    subclass(sK0,sK1),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f67,plain,
    ( subclass(sK0,sK1)
    | subclass(sK0,sK1) ),
    inference(resolution,[],[f62,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( member(sK2(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OQggpxwzRM/Vampire---4.8_5041',subclass_defn) ).

fof(f62,plain,
    ! [X0] :
      ( ~ member(sK2(X0,sK1),sK0)
      | subclass(X0,sK1) ),
    inference(resolution,[],[f50,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ member(sK2(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f50,plain,
    ! [X3] :
      ( member(X3,sK1)
      | ~ member(X3,sK0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( member(X2,X0)
          | ~ member(X2,X1) )
      & ! [X3] :
          ( member(X3,X1)
          | ~ member(X3,X0) )
      & X0 != X1 ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ~ ! [X0,X1] :
        ( ? [X2] :
            ( ~ member(X2,X0)
            & member(X2,X1) )
        | ? [X3] :
            ( ~ member(X3,X1)
            & member(X3,X0) )
        | X0 = X1 ),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1] :
        ( ? [X6] :
            ( ~ member(X6,X0)
            & member(X6,X1) )
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) )
        | X0 = X1 ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1] :
      ( ? [X6] :
          ( ~ member(X6,X0)
          & member(X6,X1) )
      | ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.OQggpxwzRM/Vampire---4.8_5041',equality1) ).

fof(f71,plain,
    ~ subclass(sK0,sK1),
    inference(unit_resulting_resolution,[],[f51,f65,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subclass(X1,X0)
        & subclass(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OQggpxwzRM/Vampire---4.8_5041',extensionality) ).

fof(f65,plain,
    subclass(sK1,sK0),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f64,plain,
    ( subclass(sK1,sK0)
    | subclass(sK1,sK0) ),
    inference(resolution,[],[f61,f58]) ).

fof(f61,plain,
    ! [X0] :
      ( member(sK2(sK1,X0),sK0)
      | subclass(sK1,X0) ),
    inference(resolution,[],[f49,f57]) ).

fof(f49,plain,
    ! [X2] :
      ( ~ member(X2,sK1)
      | member(X2,sK0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f51,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SET056+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.02/0.11  % 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
% 0.11/0.32  % Computer : n008.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   : Fri May  3 16:52:53 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.OQggpxwzRM/Vampire---4.8_5041
% 0.56/0.73  % (5152)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)
% 0.56/0.73  % (5154)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.73  % (5153)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)
% 0.56/0.73  % (5155)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)
% 0.56/0.73  % (5159)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)
% 0.56/0.73  % (5156)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)
% 0.56/0.73  % (5157)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)
% 0.56/0.73  % (5158)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)
% 0.56/0.73  % (5155)Refutation not found, incomplete strategy% (5155)------------------------------
% 0.56/0.73  % (5155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (5154)Refutation not found, incomplete strategy% (5154)------------------------------
% 0.56/0.73  % (5154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (5154)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (5159)Refutation not found, incomplete strategy% (5159)------------------------------
% 0.56/0.73  % (5159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (5154)Memory used [KB]: 1036
% 0.56/0.73  % (5159)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  % (5154)Time elapsed: 0.002 s
% 0.56/0.73  
% 0.56/0.73  % (5159)Memory used [KB]: 1037
% 0.56/0.73  % (5154)Instructions burned: 2 (million)
% 0.56/0.73  % (5159)Time elapsed: 0.002 s
% 0.56/0.73  % (5159)Instructions burned: 2 (million)
% 0.56/0.73  % (5157)Refutation not found, incomplete strategy% (5157)------------------------------
% 0.56/0.73  % (5157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (5157)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (5157)Memory used [KB]: 1036
% 0.56/0.73  % (5157)Time elapsed: 0.002 s
% 0.56/0.73  % (5157)Instructions burned: 2 (million)
% 0.56/0.73  % (5155)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (5155)Memory used [KB]: 1036
% 0.56/0.73  % (5155)Time elapsed: 0.002 s
% 0.56/0.73  % (5155)Instructions burned: 2 (million)
% 0.56/0.73  % (5159)------------------------------
% 0.56/0.73  % (5159)------------------------------
% 0.56/0.73  % (5157)------------------------------
% 0.56/0.73  % (5157)------------------------------
% 0.56/0.73  % (5155)------------------------------
% 0.56/0.73  % (5155)------------------------------
% 0.56/0.73  % (5154)------------------------------
% 0.56/0.73  % (5154)------------------------------
% 0.56/0.73  % (5158)First to succeed.
% 0.56/0.73  % (5158)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5151"
% 0.56/0.73  % (5158)Refutation found. Thanks to Tanya!
% 0.56/0.73  % SZS status Theorem for Vampire---4
% 0.56/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.73  % (5158)------------------------------
% 0.56/0.73  % (5158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (5158)Termination reason: Refutation
% 0.56/0.73  
% 0.56/0.73  % (5158)Memory used [KB]: 1051
% 0.56/0.73  % (5158)Time elapsed: 0.003 s
% 0.56/0.73  % (5158)Instructions burned: 3 (million)
% 0.56/0.73  % (5151)Success in time 0.407 s
% 0.56/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------