%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN031-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n019.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 19:36:35 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   2 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  13   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(avatar_sat_refutation,[],[f14,f18,f22]) ).

fof(f22,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f21,f8,f11]) ).

fof(f11,plain,
    ( spl0_2
  <=> g(a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f8,plain,
    ( spl0_1
  <=> ! [X0] : ~ g(X0,f(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f21,plain,
    ( g(a,a)
    | ~ spl0_1 ),
    inference(resolution,[],[f2,f9]) ).

fof(f9,plain,
    ( ! [X0] : ~ g(X0,f(a))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f8]) ).

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

fof(f18,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f17]) ).

fof(f17,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f15,f13]) ).

fof(f13,plain,
    ( g(a,a)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f15,plain,
    ( ! [X0] : ~ g(X0,a)
    | ~ spl0_2 ),
    inference(resolution,[],[f13,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ g(X1,a)
      | ~ g(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).

fof(f14,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f11,f8]) ).

fof(f6,plain,
    ! [X0] :
      ( g(a,a)
      | ~ g(X0,f(a)) ),
    inference(resolution,[],[f1,f5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n019.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 Aug 30 21:25:20 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  % (12220)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.51  % (12238)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.52  % (12220)First to succeed.
% 0.21/0.52  % (12220)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (12220)------------------------------
% 0.21/0.52  % (12220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (12220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (12220)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (12220)Memory used [KB]: 5373
% 0.21/0.52  % (12220)Time elapsed: 0.114 s
% 0.21/0.52  % (12220)Instructions burned: 1 (million)
% 0.21/0.52  % (12220)------------------------------
% 0.21/0.52  % (12220)------------------------------
% 0.21/0.52  % (12216)Success in time 0.159 s
%------------------------------------------------------------------------------