%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN315-1 : 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 : n016.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 19:37:27 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   1 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   45 (  22   ~;  18   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   6 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,plain,
    $false,
    inference(avatar_sat_refutation,[],[f12,f16,f20,f24,f26,f30]) ).

fof(f30,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f29]) ).

fof(f29,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(resolution,[],[f15,f7]) ).

fof(f7,plain,
    ( ! [X0] : ~ f(X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f6]) ).

fof(f6,plain,
    ( spl0_1
  <=> ! [X0] : ~ f(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f15,plain,
    ( ! [X0] : f(y(X0))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_3
  <=> ! [X0] : f(y(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f26,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f23,f19]) ).

fof(f19,plain,
    ( ! [X0] : f(X0)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_4
  <=> ! [X0] : f(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f23,plain,
    ( ! [X0] : ~ f(y(X0))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_5
  <=> ! [X0] : ~ f(y(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f24,plain,
    ( spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3,f9,f22]) ).

fof(f9,plain,
    ( spl0_2
  <=> p(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ p(a)
      | ~ f(y(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f20,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f2,f9,f18]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ p(a)
      | f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f16,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f4,f14,f9]) ).

fof(f4,axiom,
    ! [X0] :
      ( f(y(X0))
      | p(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f12,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f9,f6]) ).

fof(f1,axiom,
    ! [X0] :
      ( p(a)
      | ~ f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN315-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:04:46 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.20/0.44  % (18023)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.46  % (18023)First to succeed.
% 0.20/0.46  % (18023)Refutation found. Thanks to Tanya!
% 0.20/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46  % (18023)------------------------------
% 0.20/0.46  % (18023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46  % (18023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46  % (18023)Termination reason: Refutation
% 0.20/0.46  
% 0.20/0.46  % (18023)Memory used [KB]: 5373
% 0.20/0.46  % (18023)Time elapsed: 0.072 s
% 0.20/0.46  % (18023)Instructions burned: 1 (million)
% 0.20/0.46  % (18023)------------------------------
% 0.20/0.46  % (18023)------------------------------
% 0.20/0.46  % (18004)Success in time 0.121 s
%------------------------------------------------------------------------------