%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : FLD056-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 : Tue Apr 30 11:06:30 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  11   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86,plain,
    $false,
    inference(avatar_sat_refutation,[],[f75,f77,f85]) ).

fof(f85,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f70,f29]) ).

fof(f29,axiom,
    ~ less_or_equal(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_2) ).

fof(f70,plain,
    ( less_or_equal(a,a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl0_1
  <=> less_or_equal(a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f77,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f76]) ).

fof(f76,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f74,f28]) ).

fof(f28,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f74,plain,
    ( ~ defined(a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl0_2
  <=> defined(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f75,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f66,f72,f68]) ).

fof(f66,plain,
    ( ~ defined(a)
    | less_or_equal(a,a) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f58,plain,
    ( ~ defined(a)
    | ~ defined(a)
    | less_or_equal(a,a) ),
    inference(resolution,[],[f18,f29]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( less_or_equal(X1,X0)
      | ~ defined(X0)
      | ~ defined(X1)
      | less_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_order_relation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : FLD056-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 03:13:12 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (12623)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (12626)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.36  % (12626)First to succeed.
% 0.15/0.36  % (12626)Refutation found. Thanks to Tanya!
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36  % (12626)------------------------------
% 0.15/0.36  % (12626)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.36  % (12626)Termination reason: Refutation
% 0.15/0.36  
% 0.15/0.36  % (12626)Memory used [KB]: 857
% 0.15/0.36  % (12626)Time elapsed: 0.002 s
% 0.15/0.36  % (12626)Instructions burned: 4 (million)
% 0.15/0.36  % (12626)------------------------------
% 0.15/0.36  % (12626)------------------------------
% 0.15/0.36  % (12623)Success in time 0.001 s
%------------------------------------------------------------------------------