TSTP Solution File: SEU123+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU123+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n011.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 03:50:08 EDT 2024

% Result   : Theorem 0.58s 0.83s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   44 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   45 (  20   ~;  11   |;   9   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,plain,
    $false,
    inference(subsumption_resolution,[],[f55,f35]) ).

fof(f35,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] : subset(empty_set,X0),
    file('/export/starexec/sandbox2/tmp/tmp.0WZzIzkW0J/Vampire---4.8_17704',t2_xboole_1) ).

fof(f55,plain,
    ~ subset(empty_set,sK2),
    inference(subsumption_resolution,[],[f53,f36]) ).

fof(f36,plain,
    subset(sK2,empty_set),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( empty_set != sK2
    & subset(sK2,empty_set) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f17,f26]) ).

fof(f26,plain,
    ( ? [X0] :
        ( empty_set != X0
        & subset(X0,empty_set) )
   => ( empty_set != sK2
      & subset(sK2,empty_set) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ? [X0] :
      ( empty_set != X0
      & subset(X0,empty_set) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0] :
        ( subset(X0,empty_set)
       => empty_set = X0 ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0] :
      ( subset(X0,empty_set)
     => empty_set = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.0WZzIzkW0J/Vampire---4.8_17704',t3_xboole_1) ).

fof(f53,plain,
    ( ~ subset(sK2,empty_set)
    | ~ subset(empty_set,sK2) ),
    inference(resolution,[],[f44,f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( sQ3_eqProxy(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(equality_proxy_replacement,[],[f30,f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( sQ3_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0WZzIzkW0J/Vampire---4.8_17704',d10_xboole_0) ).

fof(f44,plain,
    ~ sQ3_eqProxy(empty_set,sK2),
    inference(equality_proxy_replacement,[],[f37,f42]) ).

fof(f37,plain,
    empty_set != sK2,
    inference(cnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SEU123+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % 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
% 0.11/0.33  % Computer : n011.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 16:20:01 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a FOF_THM_EPR_SEQ problem
% 0.18/0.34  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.0WZzIzkW0J/Vampire---4.8_17704
% 0.58/0.83  % (17826)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.83  % (17827)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)
% 0.58/0.83  % (17824)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)
% 0.58/0.83  % (17829)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)
% 0.58/0.83  % (17825)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)
% 0.58/0.83  % (17828)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)
% 0.58/0.83  % (17830)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)
% 0.58/0.83  % (17831)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)
% 0.58/0.83  % (17828)First to succeed.
% 0.58/0.83  % (17824)Also succeeded, but the first one will report.
% 0.58/0.83  % (17825)Also succeeded, but the first one will report.
% 0.58/0.83  % (17828)Refutation found. Thanks to Tanya!
% 0.58/0.83  % SZS status Theorem for Vampire---4
% 0.58/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.83  % (17828)------------------------------
% 0.58/0.83  % (17828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.83  % (17828)Termination reason: Refutation
% 0.58/0.83  
% 0.58/0.83  % (17828)Memory used [KB]: 975
% 0.58/0.83  % (17828)Time elapsed: 0.003 s
% 0.58/0.83  % (17828)Instructions burned: 2 (million)
% 0.58/0.83  % (17828)------------------------------
% 0.58/0.83  % (17828)------------------------------
% 0.58/0.83  % (17817)Success in time 0.476 s
% 0.58/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------