%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n027.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 1.31s 0.53s
% Output   : Refutation 1.31s
% 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,f8]) ).

fof(f8,plain,
    f(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ! [X0] :
        ( g(X0)
        | ~ f(X0) )
    & ! [X1] : ~ g(X1)
    & f(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f6,plain,
    ( ? [X2] : f(X2)
   => f(sK0) ),
    introduced(choice_axiom,[]) ).

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

fof(f4,plain,
    ( ! [X0] :
        ( g(X0)
        | ~ f(X0) )
    & ! [X2] : ~ g(X2)
    & ? [X1] : f(X1) ),
    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/sandbox/benchmark/theBenchmark.p',kalish202) ).

fof(f11,plain,
    ! [X0] : ~ f(X0),
    inference(subsumption_resolution,[],[f10,f9]) ).

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

fof(f10,plain,
    ! [X0] :
      ( g(X0)
      | ~ f(X0) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN395+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13  % 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 : n027.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 22:06:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (6860)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (6872)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.52  % (6862)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)
% 1.31/0.52  % (6873)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.52  % (6869)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)
% 1.31/0.52  % (6860)First to succeed.
% 1.31/0.53  % (6864)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.31/0.53  % (6864)Also succeeded, but the first one will report.
% 1.31/0.53  % (6865)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.31/0.53  % (6860)Refutation found. Thanks to Tanya!
% 1.31/0.53  % SZS status Theorem for theBenchmark
% 1.31/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.53  % (6860)------------------------------
% 1.31/0.53  % (6860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (6860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (6860)Termination reason: Refutation
% 1.31/0.53  
% 1.31/0.53  % (6860)Memory used [KB]: 5884
% 1.31/0.53  % (6860)Time elapsed: 0.118 s
% 1.31/0.53  % (6860)Instructions burned: 1 (million)
% 1.31/0.53  % (6860)------------------------------
% 1.31/0.53  % (6860)------------------------------
% 1.31/0.53  % (6859)Success in time 0.18 s
%------------------------------------------------------------------------------