%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN376+1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n022.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 19:26:26 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   45 (  19   ~;  11   |;   4   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   26 (  17   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f21,f25,f29]) ).

fof(f29,plain,
    ~ spl3_1,
    inference(avatar_contradiction_clause,[],[f27]) ).

fof(f27,plain,
    ( $false
    | ~ spl3_1 ),
    inference(resolution,[],[f12,f8]) ).

fof(f8,plain,
    big_p(sK0),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ? [X2] : ~ big_p(X2)
    & ? [X0] :
      ! [X1] :
        ( big_p(X1)
      <=> big_p(X0) )
    & ? [X3] : big_p(X3) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ? [X3] : big_p(X3)
    & ? [X2] : ~ big_p(X2)
    & ? [X0] :
      ! [X1] :
        ( big_p(X1)
      <=> big_p(X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0] :
        ! [X1] :
          ( big_p(X1)
        <=> big_p(X0) )
     => ( ! [X3] : ~ big_p(X3)
        | ! [X2] : big_p(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
        ! [X1] :
          ( big_p(X1)
        <=> big_p(X0) )
     => ( ! [X0] : big_p(X0)
        | ! [X0] : ~ big_p(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0] :
      ! [X1] :
        ( big_p(X1)
      <=> big_p(X0) )
   => ( ! [X0] : big_p(X0)
      | ! [X0] : ~ big_p(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2127) ).

fof(f12,plain,
    ( ! [X1] : ~ big_p(X1)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl3_1
  <=> ! [X1] : ~ big_p(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f25,plain,
    ~ spl3_3,
    inference(avatar_contradiction_clause,[],[f23]) ).

fof(f23,plain,
    ( $false
    | ~ spl3_3 ),
    inference(resolution,[],[f20,f9]) ).

fof(f9,plain,
    ~ big_p(sK2),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ( ! [X1] : big_p(X1)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl3_3
  <=> ! [X1] : big_p(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f21,plain,
    ( spl3_3
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f6,f14,f19]) ).

fof(f14,plain,
    ( spl3_2
  <=> big_p(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f6,plain,
    ! [X1] :
      ( ~ big_p(sK1)
      | big_p(X1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f7,f14,f11]) ).

fof(f7,plain,
    ! [X1] :
      ( big_p(sK1)
      | ~ big_p(X1) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN376+1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.12/0.34  % Computer : n022.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 21:50:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.49  % (7801)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49  % (7785)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.49  % (7785)First to succeed.
% 0.18/0.49  % (7802)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.49  % (7785)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (7785)------------------------------
% 0.18/0.49  % (7785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (7785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (7785)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (7785)Memory used [KB]: 5884
% 0.18/0.49  % (7785)Time elapsed: 0.098 s
% 0.18/0.49  % (7785)Instructions burned: 1 (million)
% 0.18/0.49  % (7785)------------------------------
% 0.18/0.49  % (7785)------------------------------
% 0.18/0.49  % (7776)Success in time 0.146 s
%------------------------------------------------------------------------------