%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN976+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 : n025.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 19:46:14 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   26 (   9   ~;   3   |;   9   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   16 (  14   !;   2   ?)

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

fof(f10,plain,
    ! [X1] : q(X1),
    inference(literal_reordering,[],[f8]) ).

fof(f8,plain,
    ! [X1] : q(X1),
    inference(cnf_transformation,[],[f7]) ).

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

fof(f6,plain,
    ( ? [X0] :
        ( ~ q(X0)
        & ! [X1] : q(X1) )
   => ( ~ q(sK0)
      & ! [X1] : q(X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0] :
      ( ~ q(X0)
      & ! [X1] : q(X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ~ ! [X0] :
        ( ! [X1] : q(X1)
       => q(X0) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f3,plain,
    ~ ! [X0] :
        ( ( ( g
            | f )
          & ! [X1] : q(X1) )
       => q(X0) ),
    inference(pure_predicate_removal,[],[f2]) ).

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

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

fof(f11,plain,
    ~ q(sK0),
    inference(literal_reordering,[],[f9]) ).

fof(f9,plain,
    ~ q(sK0),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN976+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.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 22:42:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.47  % (8512)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.18/0.48  % (8521)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)
% 0.18/0.48  % (8521)First to succeed.
% 0.18/0.48  % (8521)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Theorem for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (8521)------------------------------
% 0.18/0.48  % (8521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (8521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (8521)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (8521)Memory used [KB]: 5628
% 0.18/0.48  % (8521)Time elapsed: 0.005 s
% 0.18/0.48  % (8521)Instructions burned: 3 (million)
% 0.18/0.48  % (8521)------------------------------
% 0.18/0.48  % (8521)------------------------------
% 0.18/0.48  % (8506)Success in time 0.133 s
%------------------------------------------------------------------------------