%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO229+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Sun May  5 05:16:17 EDT 2024

% Result   : Theorem 0.12s 0.35s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  13   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   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    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   10 (   6   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f140,plain,
    $false,
    inference(subsumption_resolution,[],[f104,f103]) ).

fof(f103,plain,
    ~ unequally_directed_lines(sK1,reverse_line(sK2)),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( unequally_directed_lines(sK1,reverse_line(sK2))
    & ~ unequally_directed_lines(sK1,reverse_line(sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f61,f99]) ).

fof(f99,plain,
    ( ? [X0,X1] :
        ( unequally_directed_lines(X0,reverse_line(X1))
        & ~ unequally_directed_lines(X0,reverse_line(X1)) )
   => ( unequally_directed_lines(sK1,reverse_line(sK2))
      & ~ unequally_directed_lines(sK1,reverse_line(sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ? [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      & ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1] :
        ( ~ unequally_directed_lines(X0,reverse_line(X1))
       => ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X2] :
        ( ~ unequally_directed_lines(X1,reverse_line(X2))
       => ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X2] :
      ( ~ unequally_directed_lines(X1,reverse_line(X2))
     => ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f104,plain,
    unequally_directed_lines(sK1,reverse_line(sK2)),
    inference(cnf_transformation,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO229+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n015.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   : Fri May  3 22:05:53 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (2617)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (2622)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35  % (2622)First to succeed.
% 0.12/0.35  % (2622)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2617"
% 0.12/0.35  % (2622)Refutation found. Thanks to Tanya!
% 0.12/0.35  % SZS status Theorem for theBenchmark
% 0.12/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35  % (2622)------------------------------
% 0.12/0.35  % (2622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35  % (2622)Termination reason: Refutation
% 0.12/0.35  
% 0.12/0.35  % (2622)Memory used [KB]: 827
% 0.12/0.35  % (2622)Time elapsed: 0.002 s
% 0.12/0.35  % (2622)Instructions burned: 3 (million)
% 0.12/0.35  % (2617)Success in time 0.012 s
%------------------------------------------------------------------------------