%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN073+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_uns --cores 0 -t %d %s

% Computer : n022.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 19:25:27 EDT 2022

% Result   : Theorem 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   19 (   7   ~;   6   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   25 (  20   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(resolution,[],[f9,f8]) ).

fof(f8,plain,
    ! [X0] : ~ big_f(X0,sK0(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ! [X0] : ~ big_f(X0,sK0(X0))
    & ! [X2] :
        ( ! [X3] : big_f(X2,X3)
        | big_f(a,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

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

fof(f4,plain,
    ( ! [X0] :
      ? [X1] : ~ big_f(X0,X1)
    & ! [X2] :
        ( ! [X3] : big_f(X2,X3)
        | big_f(a,X2) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,plain,
    ( ! [X2] :
      ? [X3] : ~ big_f(X2,X3)
    & ! [X0] :
        ( ! [X1] : big_f(X0,X1)
        | big_f(a,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( ! [X1] : big_f(X0,X1)
          | big_f(a,X0) )
     => ? [X2] :
        ! [X3] : big_f(X2,X3) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
        ( ! [X1] : big_f(X0,X1)
        | big_f(a,X0) )
   => ? [X2] :
      ! [X3] : big_f(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel50) ).

fof(f9,plain,
    ! [X0] : big_f(a,X0),
    inference(resolution,[],[f7,f8]) ).

fof(f7,plain,
    ! [X2,X3] :
      ( big_f(X2,X3)
      | big_f(a,X2) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN073+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.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 21:29:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (13473)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.47  % (13473)First to succeed.
% 0.20/0.47  % (13473)Refutation found. Thanks to Tanya!
% 0.20/0.47  % SZS status Theorem for theBenchmark
% 0.20/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47  % (13473)------------------------------
% 0.20/0.47  % (13473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (13473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (13473)Termination reason: Refutation
% 0.20/0.47  
% 0.20/0.47  % (13473)Memory used [KB]: 5884
% 0.20/0.47  % (13473)Time elapsed: 0.070 s
% 0.20/0.47  % (13473)Instructions burned: 2 (million)
% 0.20/0.47  % (13473)------------------------------
% 0.20/0.47  % (13473)------------------------------
% 0.20/0.47  % (13462)Success in time 0.12 s
%------------------------------------------------------------------------------