TSTP Solution File: NUM540+2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n017.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 : Fri Sep  1 20:20:25 EDT 2023

% Result   : Theorem 0.16s 0.40s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   33 (   7 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   39 (  17   ~;   3   |;  15   &)
%                                         (   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   :   15 (;   8   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f337,plain,
    $false,
    inference(resolution,[],[f222,f221]) ).

fof(f221,plain,
    ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & aElementOf0(sK18,slbdtrb0(sz00))
    & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f154,f155]) ).

fof(f155,plain,
    ( ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
   => aElementOf0(sK18,slbdtrb0(sz00)) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
    & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(rectify,[],[f62]) ).

fof(f62,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
    & ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & ? [X1] : aElementOf0(X1,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)) )
     => ( slcrc0 = slbdtrb0(sz00)
        | ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00)) ) ),
    inference(rectify,[],[f53]) ).

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

fof(f52,conjecture,
    ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
      & aSet0(slbdtrb0(sz00)) )
   => ( slcrc0 = slbdtrb0(sz00)
      | ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.EdnXAs2BP4/Vampire---4.8_20701',m__) ).

fof(f222,plain,
    aElementOf0(sK18,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f156]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.32  % Computer : n017.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Wed Aug 30 14:41:14 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.16/0.39  % (20808)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (20815)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 Vampire---4 for (497ds/0Mi)
% 0.16/0.40  % (20809)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.40  % (20810)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.40  % (20813)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.16/0.40  % (20811)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.16/0.40  % (20814)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 Vampire---4 for (522ds/0Mi)
% 0.16/0.40  % (20812)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.40  % (20815)First to succeed.
% 0.16/0.40  % (20813)Also succeeded, but the first one will report.
% 0.16/0.40  % (20814)Also succeeded, but the first one will report.
% 0.16/0.40  % (20815)Refutation found. Thanks to Tanya!
% 0.16/0.40  % SZS status Theorem for Vampire---4
% 0.16/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.40  % (20815)------------------------------
% 0.16/0.40  % (20815)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.40  % (20815)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.40  % (20815)Termination reason: Refutation
% 0.16/0.40  
% 0.16/0.40  % (20815)Memory used [KB]: 1023
% 0.16/0.40  % (20815)Time elapsed: 0.004 s
% 0.16/0.40  % (20815)------------------------------
% 0.16/0.40  % (20815)------------------------------
% 0.16/0.40  % (20808)Success in time 0.073 s
% 0.16/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------