%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN403+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 : n009.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 19:26:30 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   63 (  22   ~;  13   |;  17   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (   2   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(avatar_sat_refutation,[],[f19,f21,f22]) ).

fof(f22,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f7,f12]) ).

fof(f12,plain,
    ( spl1_1
  <=> f(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f7,plain,
    f(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ~ g(sK0)
      | h(sK0) )
    & ( g(sK0)
      | ~ f(sK0) )
    & ~ h(sK0)
    & f(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X0] :
        ( ( ~ g(X0)
          | h(X0) )
        & ( g(X0)
          | ~ f(X0) )
        & ~ h(X0)
        & f(X0) )
   => ( ( ~ g(sK0)
        | h(sK0) )
      & ( g(sK0)
        | ~ f(sK0) )
      & ~ h(sK0)
      & f(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0] :
      ( ( ~ g(X0)
        | h(X0) )
      & ( g(X0)
        | ~ f(X0) )
      & ~ h(X0)
      & f(X0) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ? [X0] :
      ( ~ h(X0)
      & f(X0)
      & ( g(X0)
        | ~ f(X0) )
      & ( ~ g(X0)
        | h(X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ( f(X0)
           => g(X0) )
          & ( g(X0)
           => h(X0) ) )
       => ( f(X0)
         => h(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( ( f(X0)
         => g(X0) )
        & ( g(X0)
         => h(X0) ) )
     => ( f(X0)
       => h(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish234) ).

fof(f21,plain,
    ~ spl1_2,
    inference(avatar_split_clause,[],[f20,f16]) ).

fof(f16,plain,
    ( spl1_2
  <=> g(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f20,plain,
    ~ g(sK0),
    inference(subsumption_resolution,[],[f10,f8]) ).

fof(f8,plain,
    ~ h(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ g(sK0)
    | h(sK0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f19,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f9,f16,f12]) ).

fof(f9,plain,
    ( g(sK0)
    | ~ f(sK0) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN403+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:49:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.20/0.44  % (21847)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.44  % (21847)First to succeed.
% 0.20/0.45  % (21847)Refutation found. Thanks to Tanya!
% 0.20/0.45  % SZS status Theorem for theBenchmark
% 0.20/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45  % (21847)------------------------------
% 0.20/0.45  % (21847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45  % (21847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45  % (21847)Termination reason: Refutation
% 0.20/0.45  
% 0.20/0.45  % (21847)Memory used [KB]: 5884
% 0.20/0.45  % (21847)Time elapsed: 0.003 s
% 0.20/0.45  % (21847)Instructions burned: 1 (million)
% 0.20/0.45  % (21847)------------------------------
% 0.20/0.45  % (21847)------------------------------
% 0.20/0.45  % (21837)Success in time 0.109 s
%------------------------------------------------------------------------------