%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN338+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_sat --cores 0 -t %d %s

% Computer : n001.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 19:37:35 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% 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/sandbox2/benchmark/theBenchmark.p',church_46_15_3) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN338+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 22:06:47 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (17027)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.51  % (17027)First to succeed.
% 0.20/0.52  % (17027)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (17027)------------------------------
% 0.20/0.52  % (17027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (17027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (17027)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (17027)Memory used [KB]: 5373
% 0.20/0.52  % (17027)Time elapsed: 0.108 s
% 0.20/0.52  % (17027)------------------------------
% 0.20/0.52  % (17027)------------------------------
% 0.20/0.52  % (17016)Success in time 0.165 s
%------------------------------------------------------------------------------