%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET043+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.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 : Wed Aug 31 18:18:44 EDT 2022

% Result   : Theorem 0.15s 0.43s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   2 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   34 (  16   ~;  10   |;   4   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (   9   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f8]) ).

fof(f8,plain,
    ! [X1] :
      ( ~ element(X1,X1)
      | ~ element(X1,sK0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X1] :
      ( ( ~ element(X1,X1)
        | ~ element(X1,sK0) )
      & ( element(X1,sK0)
        | element(X1,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( ~ element(X1,X1)
          | ~ element(X1,X0) )
        & ( element(X1,X0)
          | element(X1,X1) ) )
   => ! [X1] :
        ( ( ~ element(X1,X1)
          | ~ element(X1,sK0) )
        & ( element(X1,sK0)
          | element(X1,X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0] :
    ! [X1] :
      ( ( ~ element(X1,X1)
        | ~ element(X1,X0) )
      & ( element(X1,X0)
        | element(X1,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,plain,
    ? [X0] :
    ! [X1] :
      ( ~ element(X1,X1)
    <=> element(X1,X0) ),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
        ! [X1] :
          ( ~ element(X1,X1)
        <=> element(X1,X0) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ? [X0] :
      ! [X1] :
        ( ~ element(X1,X1)
      <=> element(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel39) ).

fof(f9,plain,
    element(sK0,sK0),
    inference(factoring,[],[f7]) ).

fof(f7,plain,
    ! [X1] :
      ( element(X1,sK0)
      | element(X1,X1) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SET043+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31  % Computer : n028.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Tue Aug 30 13:10:48 EDT 2022
% 0.09/0.31  % CPUTime    : 
% 0.15/0.41  % (28797)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.42  % (28805)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.42  % (28797)First to succeed.
% 0.15/0.43  % (28797)Refutation found. Thanks to Tanya!
% 0.15/0.43  % SZS status Theorem for theBenchmark
% 0.15/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.43  % (28797)------------------------------
% 0.15/0.43  % (28797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.43  % (28797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.43  % (28797)Termination reason: Refutation
% 0.15/0.43  
% 0.15/0.43  % (28797)Memory used [KB]: 5884
% 0.15/0.43  % (28797)Time elapsed: 0.047 s
% 0.15/0.43  % (28797)Instructions burned: 2 (million)
% 0.15/0.43  % (28797)------------------------------
% 0.15/0.43  % (28797)------------------------------
% 0.15/0.43  % (28780)Success in time 0.105 s
%------------------------------------------------------------------------------