%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN343-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n020.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 19:37:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   1 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   32 (  15   ~;  14   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,plain,
    $false,
    inference(avatar_sat_refutation,[],[f15,f19,f21,f25]) ).

fof(f25,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f24]) ).

fof(f24,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f7,f18]) ).

fof(f18,plain,
    ( ! [X0,X1] : ~ f(X0,X1)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl0_4
  <=> ! [X0,X1] : ~ f(X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f7,plain,
    ( f(a,a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f5]) ).

fof(f5,plain,
    ( spl0_1
  <=> f(a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f21,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f20]) ).

fof(f20,plain,
    ( $false
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f6,f14]) ).

fof(f14,plain,
    ( ! [X0] : f(a,X0)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl0_3
  <=> ! [X0] : f(a,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f6,plain,
    ( ~ f(a,a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f5]) ).

fof(f19,plain,
    ( spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f3,f5,f17]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ f(a,a)
      | ~ f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f15,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f1,f13,f5]) ).

fof(f1,axiom,
    ! [X0] :
      ( f(a,X0)
      | f(a,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN343-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n020.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 21:47:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.45  % (4859)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.45  % (4859)First to succeed.
% 0.20/0.45  % (4851)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.45  % (4859)Refutation found. Thanks to Tanya!
% 0.20/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45  % (4859)------------------------------
% 0.20/0.45  % (4859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45  % (4859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45  % (4859)Termination reason: Refutation
% 0.20/0.45  
% 0.20/0.45  % (4859)Memory used [KB]: 5373
% 0.20/0.45  % (4859)Time elapsed: 0.047 s
% 0.20/0.45  % (4859)Instructions burned: 1 (million)
% 0.20/0.45  % (4859)------------------------------
% 0.20/0.45  % (4859)------------------------------
% 0.20/0.45  % (4833)Success in time 0.104 s
%------------------------------------------------------------------------------