%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN958+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n003.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 19:46:12 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% 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 :   31 (  11   ~;   4   |;  12   &)
%                                         (   0 <=>;   4  =>;   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 (  12   !;   9   ?)

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

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

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

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

fof(f5,plain,
    ( ? [X0] : a(X0)
    & ! [X1] : b(X1)
    & ! [X2] :
        ( ~ b(X2)
        | ~ a(X2) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ! [X2] :
        ( ~ b(X2)
        | ~ a(X2) )
    & ! [X1] : b(X1)
    & ? [X0] : a(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ! [X1] : b(X1)
        & ? [X0] : a(X0) )
     => ? [X2] :
          ( b(X2)
          & a(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ? [X0] : a(X0)
        & ! [X0] : b(X0) )
     => ? [X0] :
          ( b(X0)
          & a(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ? [X0] : a(X0)
      & ! [X0] : b(X0) )
   => ? [X0] :
        ( b(X0)
        & a(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f11,plain,
    ! [X2] : ~ a(X2),
    inference(subsumption_resolution,[],[f8,f9]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem    : SYN958+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n003.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 22:33:07 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.51  % (17360)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.18/0.51  % (17360)First to succeed.
% 0.18/0.51  % (17352)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)
% 0.18/0.51  % (17352)Also succeeded, but the first one will report.
% 0.18/0.51  % (17360)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Theorem for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (17360)------------------------------
% 0.18/0.51  % (17360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (17360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (17360)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (17360)Memory used [KB]: 5373
% 0.18/0.51  % (17360)Time elapsed: 0.054 s
% 0.18/0.51  % (17360)Instructions burned: 1 (million)
% 0.18/0.51  % (17360)------------------------------
% 0.18/0.51  % (17360)------------------------------
% 0.18/0.51  % (17333)Success in time 0.166 s
%------------------------------------------------------------------------------