TSTP Solution File: SET786+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% 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 : 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 03:49:00 EDT 2024

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   2 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   74 (  29   ~;  24   |;  15   &)
%                                         (   4 <=>;   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   :   37 (  22   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f10]) ).

fof(f10,plain,
    ! [X3,X1] :
      ( ~ element(X3,X1)
      | ~ element(X1,X3)
      | ~ element(X1,sK0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X1] :
      ( ( element(X1,sK0)
        | ( element(sK1(X1),X1)
          & element(X1,sK1(X1)) ) )
      & ( ! [X3] :
            ( ~ element(X3,X1)
            | ~ element(X1,X3) )
        | ~ element(X1,sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).

fof(f7,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( element(X1,X0)
          | ? [X2] :
              ( element(X2,X1)
              & element(X1,X2) ) )
        & ( ! [X3] :
              ( ~ element(X3,X1)
              | ~ element(X1,X3) )
          | ~ element(X1,X0) ) )
   => ! [X1] :
        ( ( element(X1,sK0)
          | ? [X2] :
              ( element(X2,X1)
              & element(X1,X2) ) )
        & ( ! [X3] :
              ( ~ element(X3,X1)
              | ~ element(X1,X3) )
          | ~ element(X1,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ! [X1] :
      ( ? [X2] :
          ( element(X2,X1)
          & element(X1,X2) )
     => ( element(sK1(X1),X1)
        & element(X1,sK1(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ? [X0] :
    ! [X1] :
      ( ( element(X1,X0)
        | ? [X2] :
            ( element(X2,X1)
            & element(X1,X2) ) )
      & ( ! [X3] :
            ( ~ element(X3,X1)
            | ~ element(X1,X3) )
        | ~ element(X1,X0) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ? [X0] :
    ! [X1] :
      ( ( element(X1,X0)
        | ? [X2] :
            ( element(X2,X1)
            & element(X1,X2) ) )
      & ( ! [X2] :
            ( ~ element(X2,X1)
            | ~ element(X1,X2) )
        | ~ element(X1,X0) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ? [X0] :
    ! [X1] :
      ( element(X1,X0)
    <=> ! [X2] :
          ( ~ element(X2,X1)
          | ~ element(X1,X2) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ? [X0] :
    ! [X1] :
      ( element(X1,X0)
    <=> ~ ? [X2] :
            ( element(X2,X1)
            & element(X1,X2) ) ),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
        ! [X1] :
          ( element(X1,X0)
        <=> ~ ? [X2] :
                ( element(X2,X1)
                & element(X1,X2) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ? [X0] :
      ! [X1] :
        ( element(X1,X0)
      <=> ~ ? [X2] :
              ( element(X2,X1)
              & element(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TDz0GfUzPG/Vampire---4.8_32761',thm25) ).

fof(f17,plain,
    element(sK0,sK0),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f16,plain,
    ( element(sK0,sK0)
    | element(sK0,sK0) ),
    inference(resolution,[],[f15,f12]) ).

fof(f12,plain,
    ! [X1] :
      ( element(sK1(X1),X1)
      | element(X1,sK0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ element(sK1(X0),sK0)
      | element(X0,sK0) ),
    inference(subsumption_resolution,[],[f13,f12]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ element(sK1(X0),X0)
      | ~ element(sK1(X0),sK0)
      | element(X0,sK0) ),
    inference(resolution,[],[f10,f11]) ).

fof(f11,plain,
    ! [X1] :
      ( element(X1,sK1(X1))
      | element(X1,sK0) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.12  % 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
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Apr 30 17:09:19 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a FOF_THM_RFO_NEQ problem
% 0.11/0.33  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.TDz0GfUzPG/Vampire---4.8_32761
% 0.61/0.81  % (416)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)
% 0.61/0.81  % (415)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)
% 0.61/0.81  % (417)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (419)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)
% 0.61/0.81  % (418)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)
% 0.61/0.81  % (420)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)
% 0.61/0.81  % (421)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)
% 0.61/0.82  % (422)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)
% 0.61/0.82  % (419)First to succeed.
% 0.61/0.82  % (421)Also succeeded, but the first one will report.
% 0.61/0.82  % (416)Also succeeded, but the first one will report.
% 0.61/0.82  % (419)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Theorem for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (419)------------------------------
% 0.61/0.82  % (419)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (419)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (419)Memory used [KB]: 972
% 0.61/0.82  % (419)Time elapsed: 0.003 s
% 0.61/0.82  % (419)Instructions burned: 2 (million)
% 0.61/0.82  % (419)------------------------------
% 0.61/0.82  % (419)------------------------------
% 0.61/0.82  % (408)Success in time 0.484 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------