%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO244+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 : Mon May 20 20:15:33 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   30 (  11   ~;   1   |;  11   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (  15   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f142,plain,
    $false,
    inference(resolution,[],[f128,f105]) ).

fof(f105,plain,
    left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2))),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ~ left_apart_point(sK3,line_connecting(sK2,sK1))
    & left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2)))
    & distinct_points(sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f62,f100]) ).

fof(f100,plain,
    ( ? [X0,X1,X2] :
        ( ~ left_apart_point(X2,line_connecting(X1,X0))
        & left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
        & distinct_points(X0,X1) )
   => ( ~ left_apart_point(sK3,line_connecting(sK2,sK1))
      & left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2)))
      & distinct_points(sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ? [X0,X1,X2] :
      ( ~ left_apart_point(X2,line_connecting(X1,X0))
      & left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
      & distinct_points(X0,X1) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ? [X0,X1,X2] :
      ( ~ left_apart_point(X2,line_connecting(X1,X0))
      & left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2] :
        ( distinct_points(X0,X1)
       => ( left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
         => left_apart_point(X2,line_connecting(X1,X0)) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X3,X4] :
        ( distinct_points(X0,X3)
       => ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
         => left_apart_point(X4,line_connecting(X3,X0)) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X3,X4] :
      ( distinct_points(X0,X3)
     => ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
       => left_apart_point(X4,line_connecting(X3,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f128,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO244+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 14:31:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (21420)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (21425)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (21425)First to succeed.
% 0.13/0.37  % (21425)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21420"
% 0.13/0.37  % (21425)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (21425)------------------------------
% 0.13/0.37  % (21425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (21425)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (21425)Memory used [KB]: 831
% 0.13/0.37  % (21425)Time elapsed: 0.002 s
% 0.13/0.37  % (21425)Instructions burned: 3 (million)
% 0.13/0.37  % (21420)Success in time 0.014 s
%------------------------------------------------------------------------------