%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN412+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 : n002.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 19:37:49 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   1 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   62 (  29   ~;  22   |;   4   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   18 (  13   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f20,f22,f26]) ).

fof(f26,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f11,f15]) ).

fof(f15,plain,
    ( ! [X1] : ~ f(sK0,X1)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl1_2
  <=> ! [X1] : ~ f(sK0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f11,plain,
    ( f(sK0,sK0)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl1_1
  <=> f(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f22,plain,
    ( spl1_1
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f21]) ).

fof(f21,plain,
    ( $false
    | spl1_1
    | ~ spl1_3 ),
    inference(unit_resulting_resolution,[],[f12,f19]) ).

fof(f19,plain,
    ( ! [X1] : f(sK0,X1)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl1_3
  <=> ! [X1] : f(sK0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f12,plain,
    ( ~ f(sK0,sK0)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f20,plain,
    ( spl1_3
    | spl1_1 ),
    inference(avatar_split_clause,[],[f8,f10,f18]) ).

fof(f8,plain,
    ! [X1] :
      ( f(sK0,sK0)
      | f(sK0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f5,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( f(X0,X1)
          | f(X0,X0) )
        & ( ~ f(X0,X0)
          | ~ f(X0,X1) ) )
   => ! [X1] :
        ( ( f(sK0,X1)
          | f(sK0,sK0) )
        & ( ~ f(sK0,sK0)
          | ~ f(sK0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0] :
    ! [X1] :
      ( ( f(X0,X1)
        | f(X0,X0) )
      & ( ~ f(X0,X0)
        | ~ f(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,plain,
    ? [X0] :
    ! [X1] :
      ( f(X0,X1)
    <=> ~ f(X0,X0) ),
    inference(flattening,[],[f2]) ).

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

fof(f1,conjecture,
    ~ ? [X0] :
      ! [X1] :
        ( f(X0,X1)
      <=> ~ f(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish255) ).

fof(f16,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f7,f14,f10]) ).

fof(f7,plain,
    ! [X1] :
      ( ~ f(sK0,X1)
      | ~ f(sK0,sK0) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN412+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.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 22:04:44 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.46  % (13754)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.47  % (13754)First to succeed.
% 0.18/0.48  % (13754)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  % (13754)------------------------------
% 0.18/0.48  % (13754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (13754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (13754)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (13754)Memory used [KB]: 5373
% 0.18/0.48  % (13754)Time elapsed: 0.085 s
% 0.18/0.48  % (13754)Instructions burned: 1 (million)
% 0.18/0.48  % (13754)------------------------------
% 0.18/0.48  % (13754)------------------------------
% 0.18/0.48  % (13752)Success in time 0.127 s
%------------------------------------------------------------------------------