%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN395+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 : n013.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 19:37:47 EDT 2022

% Result   : Theorem 0.16s 0.47s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   32 (  12   ~;   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   :   21 (  13   !;   8   ?)

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

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

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

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

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

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

fof(f3,plain,
    ( ! [X2] : ~ g(X2)
    & ? [X1] : f(X1)
    & ! [X0] :
        ( g(X0)
        | ~ f(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',kalish202) ).

fof(f11,plain,
    ! [X1] : ~ f(X1),
    inference(subsumption_resolution,[],[f9,f8]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN395+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 21:47:31 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.46  % (20662)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.16/0.46  % (20642)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.16/0.46  % (20662)First to succeed.
% 0.16/0.46  % (20666)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.16/0.46  % (20655)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.16/0.46  % (20655)Also succeeded, but the first one will report.
% 0.16/0.47  % (20653)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.16/0.47  % (20662)Refutation found. Thanks to Tanya!
% 0.16/0.47  % SZS status Theorem for theBenchmark
% 0.16/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47  % (20662)------------------------------
% 0.16/0.47  % (20662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (20662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47  % (20662)Termination reason: Refutation
% 0.16/0.47  
% 0.16/0.47  % (20662)Memory used [KB]: 895
% 0.16/0.47  % (20662)Time elapsed: 0.050 s
% 0.16/0.47  % (20662)Instructions burned: 1 (million)
% 0.16/0.47  % (20662)------------------------------
% 0.16/0.47  % (20662)------------------------------
% 0.16/0.47  % (20639)Success in time 0.142 s
%------------------------------------------------------------------------------