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

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%------------------------------------------------------------------------------
% File     : Vampire---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 : n005.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 : Thu Aug 31 12:11:09 EDT 2023

% Result   : Theorem 0.21s 0.42s
% Output   : Refutation 0.21s
% 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(f297,plain,
    $false,
    inference(subsumption_resolution,[],[f189,f188]) ).

fof(f188,plain,
    ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & aElementOf0(sK4,slbdtrb0(sz00))
    & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f137,f138]) ).

fof(f138,plain,
    ( ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
   => aElementOf0(sK4,slbdtrb0(sz00)) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
    & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(rectify,[],[f63]) ).

fof(f63,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
    & ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(flattening,[],[f62]) ).

fof(f62,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/sandbox2/tmp/tmp.c9L1UYLWM4/Vampire---4.8_31618',m__) ).

fof(f189,plain,
    aElementOf0(sK4,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f139]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri Aug 25 16:25:53 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.c9L1UYLWM4/Vampire---4.8_31618
% 0.14/0.36  % (31761)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (31770)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42  % (31765)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.21/0.42  % (31766)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.21/0.42  % (31767)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.21/0.42  % (31773)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.21/0.42  % (31777)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.21/0.42  % (31770)First to succeed.
% 0.21/0.42  % (31763)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.21/0.42  % (31770)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Theorem for Vampire---4
% 0.21/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42  % (31770)------------------------------
% 0.21/0.42  % (31770)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (31770)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (31770)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (31770)Memory used [KB]: 5628
% 0.21/0.42  % (31770)Time elapsed: 0.005 s
% 0.21/0.42  % (31770)------------------------------
% 0.21/0.42  % (31770)------------------------------
% 0.21/0.42  % (31761)Success in time 0.064 s
% 0.21/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------