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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 15:22:06 EDT 2024

% Result   : Theorem 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   9   ~;   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(f337,plain,
    $false,
    inference(resolution,[],[f334,f171]) ).

fof(f171,plain,
    finite(sK0),
    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/sandbox2/benchmark/theBenchmark.p',t16_finset_1) ).

fof(f334,plain,
    ~ finite(sK0),
    inference(resolution,[],[f228,f172]) ).

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

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/sandbox2/benchmark/theBenchmark.p',fc12_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Apr 29 21:19:32 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (9943)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (9946)WARNING: value z3 for option sas not known
% 0.11/0.34  % (9947)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34  % (9949)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)
% 0.11/0.35  % (9950)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)
% 0.11/0.35  % (9948)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 theBenchmark for (531ds/0Mi)
% 0.11/0.35  % (9946)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 theBenchmark for (569ds/0Mi)
% 0.11/0.35  TRYING [1]
% 0.11/0.35  TRYING [2]
% 0.11/0.35  % (9949)First to succeed.
% 0.11/0.35  TRYING [3]
% 0.11/0.35  % (9949)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Theorem for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35  % (9949)------------------------------
% 0.11/0.35  % (9949)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35  % (9949)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (9949)Memory used [KB]: 936
% 0.11/0.35  % (9949)Time elapsed: 0.006 s
% 0.11/0.35  % (9949)Instructions burned: 8 (million)
% 0.11/0.35  % (9949)------------------------------
% 0.11/0.35  % (9949)------------------------------
% 0.11/0.35  % (9943)Success in time 0.02 s
%------------------------------------------------------------------------------