%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN394+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 : n006.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 19:26:29 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  13   ~;   5   |;   8   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   20 (  16   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(unit_resulting_resolution,[],[f10,f8,f9]) ).

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

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

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

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

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

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

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

fof(f1,conjecture,
    ( ! [X0] :
        ( f(X0)
       => g(X0) )
   => ( ! [X1] : f(X1)
     => ! [X2] : g(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish201) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN394+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:48:39 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (20427)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)
% 0.19/0.50  % (20443)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.50  % (20440)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50  % (20432)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (20427)First to succeed.
% 0.19/0.50  % (20440)Also succeeded, but the first one will report.
% 0.19/0.51  % (20427)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (20427)------------------------------
% 0.19/0.51  % (20427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (20427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (20427)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (20427)Memory used [KB]: 5884
% 0.19/0.51  % (20427)Time elapsed: 0.095 s
% 0.19/0.51  % (20427)Instructions burned: 1 (million)
% 0.19/0.51  % (20427)------------------------------
% 0.19/0.51  % (20427)------------------------------
% 0.19/0.51  % (20417)Success in time 0.154 s
%------------------------------------------------------------------------------