%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN948+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Sun May  5 12:18:29 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   18 (   5   ~;   0   |;  10   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   18 (  11   !;   7   ?)

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

fof(f9,plain,
    ! [X0] : ~ a(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ! [X0] : ~ a(X0,X0)
    & ! [X1] :
        ( a(sK0(X1),sK0(X1))
        & a(X1,sK0(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ! [X1] :
      ( ? [X2] :
          ( a(X2,X2)
          & a(X1,X2) )
     => ( a(sK0(X1),sK0(X1))
        & a(X1,sK0(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ( ! [X0] : ~ a(X0,X0)
    & ! [X1] :
      ? [X2] :
        ( a(X2,X2)
        & a(X1,X2) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,plain,
    ( ! [X2] : ~ a(X2,X2)
    & ! [X0] :
      ? [X1] :
        ( a(X1,X1)
        & a(X0,X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
        ? [X1] :
          ( a(X1,X1)
          & a(X0,X1) )
     => ? [X2] : a(X2,X2) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
      ? [X1] :
        ( a(X1,X1)
        & a(X0,X1) )
   => ? [X2] : a(X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN948+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n020.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 May  3 17:11:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (10380)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (10388)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (10388)First to succeed.
% 0.14/0.37  % (10388)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10380"
% 0.14/0.37  % (10388)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (10388)------------------------------
% 0.14/0.37  % (10388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (10388)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (10388)Memory used [KB]: 729
% 0.14/0.37  % (10388)Time elapsed: 0.002 s
% 0.14/0.37  % (10388)Instructions burned: 2 (million)
% 0.14/0.37  % (10380)Success in time 0.011 s
%------------------------------------------------------------------------------