%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN731+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n014.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 19:28:15 EDT 2022

% Result   : Theorem 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   0   |;   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; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   26 (  17   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(resolution,[],[f7,f8]) ).

fof(f8,plain,
    ! [X0,X1] : ~ p(X1,X1,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ! [X1] : ~ p(X1,X1,X0)
      & ! [X2] : p(X0,X2,sK0(X0,X2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ! [X0,X2] :
      ( ? [X3] : p(X0,X2,X3)
     => p(X0,X2,sK0(X0,X2)) ),
    introduced(choice_axiom,[]) ).

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

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

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

fof(f1,conjecture,
    ? [X0] :
      ( ! [X1] :
        ? [X2] : p(X0,X1,X2)
     => ? [X3] : p(X3,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2150) ).

fof(f7,plain,
    ! [X2,X0] : p(X0,X2,sK0(X0,X2)),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN731+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.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 22:19:48 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  % (22427)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.45  % (22427)First to succeed.
% 0.18/0.46  % (22451)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.46  % (22427)Refutation found. Thanks to Tanya!
% 0.18/0.46  % SZS status Theorem for theBenchmark
% 0.18/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46  % (22427)------------------------------
% 0.18/0.46  % (22427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46  % (22427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46  % (22427)Termination reason: Refutation
% 0.18/0.46  
% 0.18/0.46  % (22427)Memory used [KB]: 1407
% 0.18/0.46  % (22427)Time elapsed: 0.084 s
% 0.18/0.46  % (22427)Instructions burned: 1 (million)
% 0.18/0.46  % (22427)------------------------------
% 0.18/0.46  % (22427)------------------------------
% 0.18/0.46  % (22421)Success in time 0.123 s
%------------------------------------------------------------------------------