%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN923+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_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 19:36:06 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  18   ~;  14   |;   6   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :   21 (  19   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f18,f20]) ).

fof(f20,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f19]) ).

fof(f19,plain,
    ( $false
    | ~ spl1_1 ),
    inference(resolution,[],[f12,f8]) ).

fof(f8,plain,
    ~ p(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X0] : q(X0)
      | ! [X1] : p(X1) )
    & ~ p(sK0)
    & ~ q(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X2] :
        ( ~ p(X2)
        & ~ q(X2) )
   => ( ~ p(sK0)
      & ~ q(sK0) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f3,plain,
    ~ ( ( ! [X0] : q(X0)
        | ! [X1] : p(X1) )
     => ! [X2] :
          ( p(X2)
          | q(X2) ) ),
    inference(rectify,[],[f2]) ).

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

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

fof(f12,plain,
    ( ! [X1] : p(X1)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl1_1
  <=> ! [X1] : p(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f18,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f17]) ).

fof(f17,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f15,f7]) ).

fof(f7,plain,
    ~ q(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f15,plain,
    ( ! [X0] : q(X0)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl1_2
  <=> ! [X0] : q(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f16,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f9,f14,f11]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( q(X0)
      | p(X1) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYN923+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:46:31 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (13144)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.48  % (13153)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)
% 0.19/0.48  % (13144)First to succeed.
% 0.19/0.48  % (13144)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (13144)------------------------------
% 0.19/0.48  % (13144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (13144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (13144)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (13144)Memory used [KB]: 5884
% 0.19/0.48  % (13144)Time elapsed: 0.089 s
% 0.19/0.48  % (13144)Instructions burned: 2 (million)
% 0.19/0.48  % (13144)------------------------------
% 0.19/0.48  % (13144)------------------------------
% 0.19/0.48  % (13143)Success in time 0.144 s
%------------------------------------------------------------------------------