%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN045+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_uns --cores 0 -t %d %s

% Computer : n006.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 19:25:17 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   38 (   2 unt;   0 def)
%            Number of atoms       :  131 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  138 (  45   ~;  63   |;  22   &)
%                                         (   6 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    8 (   7 usr;   8 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f37,f39,f42,f46]) ).

fof(f46,plain,
    ( spl1_2
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | spl1_2
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f44,f36]) ).

fof(f36,plain,
    ( sP0
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl1_3
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f44,plain,
    ( ~ sP0
    | spl1_2 ),
    inference(unit_resulting_resolution,[],[f21,f30,f10]) ).

fof(f10,plain,
    ( ~ sP0
    | p
    | r ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( sP0
      | ( ~ p
        & ~ q )
      | ( ~ r
        & ~ p ) )
    & ( ( ( p
          | q )
        & ( r
          | p ) )
      | ~ sP0 ) ),
    inference(flattening,[],[f6]) ).

fof(f6,plain,
    ( ( sP0
      | ( ~ p
        & ~ q )
      | ( ~ r
        & ~ p ) )
    & ( ( ( p
          | q )
        & ( r
          | p ) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( sP0
  <=> ( ( p
        | q )
      & ( r
        | p ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f30,plain,
    ( ~ r
    | spl1_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl1_2
  <=> r ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f21,plain,
    ~ p,
    inference(subsumption_resolution,[],[f18,f20]) ).

fof(f20,plain,
    ( ~ p
    | sP0 ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f14,plain,
    ( sP0
    | ~ p
    | ~ p ),
    inference(cnf_transformation,[],[f7]) ).

fof(f18,plain,
    ( ~ p
    | ~ sP0 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ( ( ( ~ r
          | ~ q )
        & ~ p )
      | ~ sP0 )
    & ( ( r
        & q )
      | p
      | sP0 ) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ( ( ( ( ~ r
          | ~ q )
        & ~ p )
      | ~ sP0 )
    & ( ( r
        & q )
      | p
      | sP0 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( sP0
  <~> ( ( r
        & q )
      | p ) ),
    inference(definition_folding,[],[f3,f4]) ).

fof(f3,plain,
    ( ( ( p
        | q )
      & ( r
        | p ) )
  <~> ( ( r
        & q )
      | p ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ( p
          | q )
        & ( r
          | p ) )
    <=> ( ( r
          & q )
        | p ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ( p
        | q )
      & ( r
        | p ) )
  <=> ( ( r
        & q )
      | p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel13) ).

fof(f42,plain,
    ( spl1_1
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f41]) ).

fof(f41,plain,
    ( $false
    | spl1_1
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f40,f36]) ).

fof(f40,plain,
    ( ~ sP0
    | spl1_1 ),
    inference(unit_resulting_resolution,[],[f21,f26,f11]) ).

fof(f11,plain,
    ( ~ sP0
    | p
    | q ),
    inference(cnf_transformation,[],[f7]) ).

fof(f26,plain,
    ( ~ q
    | spl1_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl1_1
  <=> q ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f39,plain,
    ( spl1_2
    | spl1_3 ),
    inference(avatar_split_clause,[],[f38,f34,f28]) ).

fof(f38,plain,
    ( sP0
    | r ),
    inference(subsumption_resolution,[],[f17,f21]) ).

fof(f17,plain,
    ( sP0
    | p
    | r ),
    inference(cnf_transformation,[],[f9]) ).

fof(f37,plain,
    ( spl1_3
    | spl1_1 ),
    inference(avatar_split_clause,[],[f32,f24,f34]) ).

fof(f32,plain,
    ( q
    | sP0 ),
    inference(subsumption_resolution,[],[f16,f21]) ).

fof(f16,plain,
    ( sP0
    | q
    | p ),
    inference(cnf_transformation,[],[f9]) ).

fof(f31,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f22,f28,f24]) ).

fof(f22,plain,
    ( ~ r
    | ~ q ),
    inference(subsumption_resolution,[],[f19,f13]) ).

fof(f13,plain,
    ( ~ r
    | sP0
    | ~ q ),
    inference(cnf_transformation,[],[f7]) ).

fof(f19,plain,
    ( ~ q
    | ~ r
    | ~ sP0 ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % 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 : n006.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 21:22:24 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (15302)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)
% 0.19/0.49  % (15312)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49  % (15312)First to succeed.
% 0.19/0.50  % (15312)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (15312)------------------------------
% 0.19/0.50  % (15312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (15312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (15312)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (15312)Memory used [KB]: 5884
% 0.19/0.50  % (15312)Time elapsed: 0.095 s
% 0.19/0.50  % (15312)Instructions burned: 1 (million)
% 0.19/0.50  % (15312)------------------------------
% 0.19/0.50  % (15312)------------------------------
% 0.19/0.50  % (15292)Success in time 0.15 s
%------------------------------------------------------------------------------