TSTP Solution File: SET054+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET054+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.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 : Tue May 21 03:15:41 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   26 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   27 (  13   ~;   7   |;   5   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f229,plain,
    $false,
    inference(resolution,[],[f224,f135]) ).

fof(f135,plain,
    ~ subclass(sK0,sK0),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ~ subclass(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f71,f85]) ).

fof(f85,plain,
    ( ? [X0] : ~ subclass(X0,X0)
   => ~ subclass(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ? [X0] : ~ subclass(X0,X0),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0] : subclass(X0,X0),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0] : subclass(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subclass) ).

fof(f224,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( subclass(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subclass(X1,X0)
        & subclass(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : SET054+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.09/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 13:03:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (13540)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (13546)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (13541)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (13547)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % (13546)First to succeed.
% 0.13/0.37  % (13546)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13540"
% 0.13/0.37  % (13544)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (13546)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (13546)------------------------------
% 0.13/0.37  % (13546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (13546)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (13546)Memory used [KB]: 938
% 0.13/0.37  % (13546)Time elapsed: 0.007 s
% 0.13/0.37  % (13546)Instructions burned: 8 (million)
% 0.13/0.37  % (13540)Success in time 0.017 s
%------------------------------------------------------------------------------