TSTP Solution File: SET045+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n014.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 03:44:34 EDT 2024

% Result   : Theorem 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   65 (  30   ~;  21   |;  11   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   36 (  27   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(resolution,[],[f24,f15]) ).

fof(f15,plain,
    ! [X1] : element(X1,sK1),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X1] : element(X1,sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f5,f10]) ).

fof(f10,plain,
    ( ? [X0] :
      ! [X1] : element(X1,X0)
   => ! [X1] : element(X1,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0] :
    ! [X1] : element(X1,X0),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
        ! [X1] : element(X1,X0),
    inference(rectify,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
        ! [X2] : element(X2,X0),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ~ ? [X0] :
      ! [X2] : element(X2,X0),
    file('/export/starexec/sandbox2/tmp/tmp.KGspTH3X9G/Vampire---4.8_22110',pel41) ).

fof(f24,plain,
    ! [X0] : ~ element(sK0(X0),X0),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ element(sK0(X0),X0)
      | ~ element(sK0(X0),X0) ),
    inference(resolution,[],[f19,f18]) ).

fof(f18,plain,
    ! [X0] :
      ( element(sK0(X0),sK0(X0))
      | ~ element(sK0(X0),X0) ),
    inference(factoring,[],[f14]) ).

fof(f14,plain,
    ! [X2,X0] :
      ( element(X2,sK0(X0))
      | element(X2,X2)
      | ~ element(X2,X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X2] :
      ( ( element(X2,sK0(X0))
        | element(X2,X2)
        | ~ element(X2,X0) )
      & ( ( ~ element(X2,X2)
          & element(X2,X0) )
        | ~ element(X2,sK0(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).

fof(f8,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( element(X2,X1)
            | element(X2,X2)
            | ~ element(X2,X0) )
          & ( ( ~ element(X2,X2)
              & element(X2,X0) )
            | ~ element(X2,X1) ) )
     => ! [X2] :
          ( ( element(X2,sK0(X0))
            | element(X2,X2)
            | ~ element(X2,X0) )
          & ( ( ~ element(X2,X2)
              & element(X2,X0) )
            | ~ element(X2,sK0(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( element(X2,X1)
        | element(X2,X2)
        | ~ element(X2,X0) )
      & ( ( ~ element(X2,X2)
          & element(X2,X0) )
        | ~ element(X2,X1) ) ),
    inference(flattening,[],[f6]) ).

fof(f6,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( element(X2,X1)
        | element(X2,X2)
        | ~ element(X2,X0) )
      & ( ( ~ element(X2,X2)
          & element(X2,X0) )
        | ~ element(X2,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( element(X2,X1)
    <=> ( ~ element(X2,X2)
        & element(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KGspTH3X9G/Vampire---4.8_22110',pel41_1) ).

fof(f19,plain,
    ! [X0] :
      ( ~ element(sK0(X0),sK0(X0))
      | ~ element(sK0(X0),X0) ),
    inference(resolution,[],[f18,f13]) ).

fof(f13,plain,
    ! [X2,X0] :
      ( ~ element(X2,sK0(X0))
      | ~ element(X2,X2) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.15  % 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 : n014.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 17:06:49 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ 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.KGspTH3X9G/Vampire---4.8_22110
% 0.60/0.80  % (22351)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)
% 0.60/0.80  % (22349)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)
% 0.60/0.80  % (22349)First to succeed.
% 0.60/0.80  % (22351)Also succeeded, but the first one will report.
% 0.60/0.80  % (22348)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)
% 0.60/0.80  % (22350)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (22352)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)
% 0.60/0.80  % (22349)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Theorem for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (22349)------------------------------
% 0.60/0.80  % (22349)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (22349)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (22349)Memory used [KB]: 972
% 0.60/0.80  % (22349)Time elapsed: 0.003 s
% 0.60/0.80  % (22349)Instructions burned: 2 (million)
% 0.60/0.80  % (22349)------------------------------
% 0.60/0.80  % (22349)------------------------------
% 0.60/0.80  % (22298)Success in time 0.432 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------