%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN391+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_sat --cores 0 -t %d %s

% Computer : n005.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 19:37:46 EDT 2022

% Result   : Theorem 0.21s 0.58s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   1 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   65 (  27   ~;  24   |;  10   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    5 (   4 usr;   5 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f18,f19,f20]) ).

fof(f20,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f8,f14,f10]) ).

fof(f10,plain,
    ( spl0_1
  <=> p1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f14,plain,
    ( spl0_2
  <=> p2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f8,plain,
    ( ~ p2
    | p1 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( p2
      | p1 )
    & ( ~ p2
      | ~ p1 )
    & ( p2
      | ~ p1 )
    & ( ~ p2
      | p1 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ( ( ~ p2
      | ~ p1 )
    & ( ~ p2
      | p1 )
    & ( p2
      | ~ p1 )
    & ( p2
      | p1 ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ( ~ p2
          | p1 )
        & ( p2
          | ~ p1 )
        & ( p2
          | p1 ) )
     => ~ ( ~ p2
          | ~ p1 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ( ~ p2
        | p1 )
      & ( p2
        | ~ p1 )
      & ( p2
        | p1 ) )
   => ~ ( ~ p2
        | ~ p1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel9) ).

fof(f19,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f7,f10,f14]) ).

fof(f7,plain,
    ( ~ p1
    | p2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f18,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f14,f10]) ).

fof(f5,plain,
    ( p2
    | p1 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f17,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f6,f14,f10]) ).

fof(f6,plain,
    ( ~ p2
    | ~ p1 ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% 0.14/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:53:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.57  % (32485)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.57  % (32485)First to succeed.
% 0.21/0.57  % (32487)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)
% 0.21/0.58  % (32485)Refutation found. Thanks to Tanya!
% 0.21/0.58  % SZS status Theorem for theBenchmark
% 0.21/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58  % (32485)------------------------------
% 0.21/0.58  % (32485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (32485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (32485)Termination reason: Refutation
% 0.21/0.58  
% 0.21/0.58  % (32485)Memory used [KB]: 5373
% 0.21/0.58  % (32485)Time elapsed: 0.004 s
% 0.21/0.58  % (32485)Instructions burned: 2 (million)
% 0.21/0.58  % (32485)------------------------------
% 0.21/0.58  % (32485)------------------------------
% 0.21/0.58  % (32481)Success in time 0.222 s
%------------------------------------------------------------------------------