%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN325+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 18:02:51 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   39 (  11   ~;   7   |;  14   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(resolution,[],[f12,f10]) ).

fof(f10,plain,
    ! [X0] : ~ big_g(sK0(X0)),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ~ big_g(sK0(X0))
      & ( ( big_g(X0)
          & big_f(X0,sK0(X0)) )
        | ( ~ big_f(sK0(X0),sK0(X0))
          & big_f(X0,X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ big_g(X1)
          & ( ( big_g(X0)
              & big_f(X0,X1) )
            | ( ~ big_f(X1,X1)
              & big_f(X0,X0) ) ) )
     => ( ~ big_g(sK0(X0))
        & ( ( big_g(X0)
            & big_f(X0,sK0(X0)) )
          | ( ~ big_f(sK0(X0),sK0(X0))
            & big_f(X0,X0) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1] :
      ( ~ big_g(X1)
      & ( ( big_g(X0)
          & big_f(X0,X1) )
        | ( ~ big_f(X1,X1)
          & big_f(X0,X0) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

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

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
      ( ( ( big_f(X0,X0)
         => big_f(X1,X1) )
       => ( big_g(X0)
          & big_f(X0,X1) ) )
     => big_g(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_9_2) ).

fof(f12,plain,
    ! [X0] : big_g(X0),
    inference(subsumption_resolution,[],[f11,f10]) ).

fof(f11,plain,
    ! [X0] :
      ( big_g(X0)
      | big_g(sK0(X0)) ),
    inference(resolution,[],[f9,f8]) ).

fof(f8,plain,
    ! [X0] :
      ( big_f(X0,X0)
      | big_g(X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ big_f(sK0(X0),sK0(X0))
      | big_g(X0) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYN325+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 02:03:56 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (12391)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (12398)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (12398)First to succeed.
% 0.13/0.36  % (12398)Refutation found. Thanks to Tanya!
% 0.13/0.36  % SZS status Theorem for theBenchmark
% 0.13/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36  % (12398)------------------------------
% 0.13/0.36  % (12398)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36  % (12398)Termination reason: Refutation
% 0.13/0.36  
% 0.13/0.36  % (12398)Memory used [KB]: 743
% 0.13/0.36  % (12398)Time elapsed: 0.003 s
% 0.13/0.36  % (12398)Instructions burned: 2 (million)
% 0.13/0.36  % (12398)------------------------------
% 0.13/0.36  % (12398)------------------------------
% 0.13/0.36  % (12391)Success in time 0.013 s
%------------------------------------------------------------------------------