%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN407+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 : n004.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 19:26:31 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   67 (  24   ~;  20   |;  16   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   21 (  15   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(unit_resulting_resolution,[],[f11,f10,f12]) ).

fof(f12,plain,
    ! [X1] :
      ( ~ f(X1)
      | g(X1) ),
    inference(subsumption_resolution,[],[f9,f8]) ).

fof(f8,plain,
    ! [X2] :
      ( ~ h(X2)
      | ~ f(X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ~ g(sK0)
    & f(sK0)
    & ! [X1] :
        ( ~ f(X1)
        | h(X1)
        | g(X1) )
    & ! [X2] :
        ( ~ h(X2)
        | ~ f(X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ~ g(X0)
        & f(X0) )
   => ( ~ g(sK0)
      & f(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ? [X0] :
        ( ~ g(X0)
        & f(X0) )
    & ! [X1] :
        ( ~ f(X1)
        | h(X1)
        | g(X1) )
    & ! [X2] :
        ( ~ h(X2)
        | ~ f(X2) ) ),
    inference(rectify,[],[f4]) ).

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

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

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

fof(f1,conjecture,
    ( ! [X0] :
        ( f(X0)
       => ( g(X0)
          | h(X0) ) )
   => ( ? [X2] :
          ( f(X2)
          & h(X2) )
      | ! [X1] :
          ( f(X1)
         => g(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish241) ).

fof(f9,plain,
    ! [X1] :
      ( ~ f(X1)
      | h(X1)
      | g(X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f10,plain,
    f(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f11,plain,
    ~ g(sK0),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN407+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:48:34 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.55  % (19004)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55  % (19025)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.55  % (19017)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (19025)First to succeed.
% 0.19/0.56  % (19017)Also succeeded, but the first one will report.
% 0.19/0.56  % (19025)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Theorem for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (19025)------------------------------
% 0.19/0.56  % (19025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (19025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (19025)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (19025)Memory used [KB]: 1407
% 0.19/0.56  % (19025)Time elapsed: 0.077 s
% 0.19/0.56  % (19025)Instructions burned: 1 (million)
% 0.19/0.56  % (19025)------------------------------
% 0.19/0.56  % (19025)------------------------------
% 0.19/0.56  % (19001)Success in time 0.211 s
%------------------------------------------------------------------------------