%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n010.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 22:15:59 EDT 2023

% Result   : Theorem 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   4 unt;   0 def)
%            Number of atoms       :   54 (  13 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   52 (  18   ~;  10   |;  20   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   29 (;  18   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f253,plain,
    $false,
    inference(unit_resulting_resolution,[],[f240,f147,f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | member(sK3(X0),X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ( disjoint(sK3(X0),X0)
        & member(sK3(X0),X0)
        & member(sK3(X0),universal_class) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f91,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) )
     => ( disjoint(sK3(X0),X0)
        & member(sK3(X0),X0)
        & member(sK3(X0),universal_class) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0] :
      ( ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f147,plain,
    ! [X1] : ~ member(X1,sK2),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ! [X1] : ~ member(X1,sK2)
    & null_class != sK2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f71,f89]) ).

fof(f89,plain,
    ( ? [X0] :
        ( ! [X1] : ~ member(X1,X0)
        & null_class != X0 )
   => ( ! [X1] : ~ member(X1,sK2)
      & null_class != sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ? [X0] :
      ( ! [X1] : ~ member(X1,X0)
      & null_class != X0 ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ~ ! [X0] :
        ( ? [X1] : member(X1,X0)
        | null_class = X0 ),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X4] :
        ( ? [X1] : member(X1,X4)
        | null_class = X4 ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X4] :
      ( ? [X1] : member(X1,X4)
      | null_class = X4 ),
    file('/export/starexec/sandbox2/tmp/tmp.3H76GoVI0z/Vampire---4.8_32112',null_class_is_unique) ).

fof(f240,plain,
    sP0(sK2),
    inference(unit_resulting_resolution,[],[f146,f161]) ).

fof(f161,plain,
    ! [X0] :
      ( sP0(X0)
      | null_class = X0 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( sP0(X0)
      | null_class = X0 ),
    inference(definition_folding,[],[f72,f85]) ).

fof(f72,plain,
    ! [X0] :
      ( ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) )
      | null_class = X0 ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( null_class != X0
     => ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( null_class != X0
     => ? [X2] :
          ( disjoint(X2,X0)
          & member(X2,X0)
          & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3H76GoVI0z/Vampire---4.8_32112',regularity) ).

fof(f146,plain,
    null_class != sK2,
    inference(cnf_transformation,[],[f90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n010.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 30 15:34:03 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.42  % (32350)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32388)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42  % (32387)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42  % (32390)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42  % (32389)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)
% 0.22/0.42  % (32391)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)
% 0.22/0.42  % (32392)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)
% 0.22/0.42  % (32393)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)
% 0.22/0.43  % (32393)First to succeed.
% 0.22/0.43  % (32392)Also succeeded, but the first one will report.
% 0.22/0.43  % (32391)Also succeeded, but the first one will report.
% 0.22/0.43  % (32393)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Theorem for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (32393)------------------------------
% 0.22/0.43  % (32393)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (32393)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (32393)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (32393)Memory used [KB]: 1023
% 0.22/0.43  % (32393)Time elapsed: 0.006 s
% 0.22/0.43  % (32393)------------------------------
% 0.22/0.43  % (32393)------------------------------
% 0.22/0.43  % (32350)Success in time 0.065 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------