TSTP Solution File: SEU085+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n015.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 17:55:20 EDT 2023

% Result   : Theorem 0.15s 0.43s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   8   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (;  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(unit_resulting_resolution,[],[f171,f172,f228]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( finite(set_difference(X0,X1))
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( finite(set_difference(X0,X1))
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( finite(X0)
     => finite(set_difference(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.uJuyiGiZV1/Vampire---4.8_27774',fc12_finset_1) ).

fof(f172,plain,
    ~ finite(set_difference(sK0,sK1)),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ~ finite(set_difference(sK0,sK1))
    & finite(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f83,f116]) ).

fof(f116,plain,
    ( ? [X0,X1] :
        ( ~ finite(set_difference(X0,X1))
        & finite(X0) )
   => ( ~ finite(set_difference(sK0,sK1))
      & finite(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ? [X0,X1] :
      ( ~ finite(set_difference(X0,X1))
      & finite(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X0,X1] :
        ( finite(X0)
       => finite(set_difference(X0,X1)) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X0,X1] :
      ( finite(X0)
     => finite(set_difference(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.uJuyiGiZV1/Vampire---4.8_27774',t16_finset_1) ).

fof(f171,plain,
    finite(sK0),
    inference(cnf_transformation,[],[f117]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 23 20:42:35 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.uJuyiGiZV1/Vampire---4.8_27774
% 0.15/0.37  % (27889)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43  % (27894)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)
% 0.15/0.43  % (27892)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)
% 0.15/0.43  % (27891)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)
% 0.15/0.43  % (27895)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)
% 0.15/0.43  % (27898)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)
% 0.15/0.43  % (27890)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)
% 0.15/0.43  % (27894)First to succeed.
% 0.15/0.43  % (27897)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)
% 0.15/0.43  % (27892)Also succeeded, but the first one will report.
% 0.15/0.43  % (27894)Refutation found. Thanks to Tanya!
% 0.15/0.43  % SZS status Theorem for Vampire---4
% 0.15/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.43  % (27894)------------------------------
% 0.15/0.43  % (27894)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.43  % (27894)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.43  % (27894)Termination reason: Refutation
% 0.15/0.43  
% 0.15/0.43  % (27894)Memory used [KB]: 5628
% 0.15/0.43  % (27894)Time elapsed: 0.005 s
% 0.15/0.43  % (27894)------------------------------
% 0.15/0.43  % (27894)------------------------------
% 0.15/0.44  % (27889)Success in time 0.064 s
% 0.15/0.44  % Vampire---4.8 exiting
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