%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN338+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 May 21 08:35:04 EDT 2024

% Result   : Theorem 0.15s 0.37s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   22 (   7   ~;   0   |;  10   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 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   :   21 (  14   !;   7   ?)

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

fof(f8,plain,
    ! [X2,X0] : big_f(X2,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X2] :
      ( ~ big_f(sK0(X0),sK0(X0))
      & big_f(X2,X0)
      & big_f(X0,sK0(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ~ big_f(X1,X1)
          & big_f(X2,X0)
          & big_f(X0,X1) )
     => ! [X2] :
          ( ~ big_f(sK0(X0),sK0(X0))
          & big_f(X2,X0)
          & big_f(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( big_f(X0,X1)
     => ( big_f(X2,X0)
       => big_f(X1,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_15_3) ).

fof(f9,plain,
    ! [X0] : ~ big_f(sK0(X0),sK0(X0)),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN338+1 : TPTP v8.2.0. Released v2.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 14:28:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (17101)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (17106)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (17106)First to succeed.
% 0.15/0.37  % (17106)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17101"
% 0.15/0.37  % (17106)Refutation found. Thanks to Tanya!
% 0.15/0.37  % SZS status Theorem for theBenchmark
% 0.15/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (17106)------------------------------
% 0.15/0.37  % (17106)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (17106)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (17106)Memory used [KB]: 726
% 0.15/0.37  % (17106)Time elapsed: 0.001 s
% 0.15/0.37  % (17106)Instructions burned: 2 (million)
% 0.15/0.37  % (17101)Success in time 0.01 s
%------------------------------------------------------------------------------