%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM540+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n027.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 Aug 31 18:00:27 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   29 (   6 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  15   ~;   3   |;  12   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   13 (   7   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f200,plain,
    $false,
    inference(subsumption_resolution,[],[f143,f145]) ).

fof(f145,plain,
    ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
    & slcrc0 != slbdtrb0(sz00)
    & aElementOf0(sK0,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f102,f108]) ).

fof(f108,plain,
    ( ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
   => aElementOf0(sK0,slbdtrb0(sz00)) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
    & slcrc0 != slbdtrb0(sz00)
    & ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ( ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
    & slcrc0 != slbdtrb0(sz00)
    & ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ~ ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
        & aSet0(slbdtrb0(sz00)) )
     => ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
        | slcrc0 = slbdtrb0(sz00) ) ),
    inference(rectify,[],[f53]) ).

fof(f53,negated_conjecture,
    ~ ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
        & aSet0(slbdtrb0(sz00)) )
     => ( ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
        | slcrc0 = slbdtrb0(sz00) ) ),
    inference(negated_conjecture,[],[f52]) ).

fof(f52,conjecture,
    ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
      & aSet0(slbdtrb0(sz00)) )
   => ( ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
      | slcrc0 = slbdtrb0(sz00) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f143,plain,
    aElementOf0(sK0,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM540+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 07:11:01 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.47  % (8658)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.49  % (8658)First to succeed.
% 0.18/0.50  % (8658)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (8658)------------------------------
% 0.18/0.50  % (8658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (8658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (8658)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (8658)Memory used [KB]: 6012
% 0.18/0.50  % (8658)Time elapsed: 0.007 s
% 0.18/0.50  % (8658)Instructions burned: 3 (million)
% 0.18/0.50  % (8658)------------------------------
% 0.18/0.50  % (8658)------------------------------
% 0.18/0.50  % (8653)Success in time 0.163 s
%------------------------------------------------------------------------------