%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO235+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.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 : Tue Apr 30 11:14:56 EDT 2024

% Result   : Theorem 0.12s 0.34s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   32 (  12   ~;   2   |;  14   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   26 (  17   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f154,plain,
    $false,
    inference(resolution,[],[f140,f113]) ).

fof(f113,plain,
    left_apart_point(sK0,sK2),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( ~ distinct_points(sK0,sK1)
    & right_apart_point(sK1,sK2)
    & left_apart_point(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f74,f110]) ).

fof(f110,plain,
    ( ? [X0,X1,X2] :
        ( ~ distinct_points(X0,X1)
        & right_apart_point(X1,X2)
        & left_apart_point(X0,X2) )
   => ( ~ distinct_points(sK0,sK1)
      & right_apart_point(sK1,sK2)
      & left_apart_point(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ? [X0,X1,X2] :
      ( ~ distinct_points(X0,X1)
      & right_apart_point(X1,X2)
      & left_apart_point(X0,X2) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ? [X0,X1,X2] :
      ( ~ distinct_points(X0,X1)
      & right_apart_point(X1,X2)
      & left_apart_point(X0,X2) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0,X1,X2] :
        ( ( right_apart_point(X1,X2)
          & left_apart_point(X0,X2) )
       => distinct_points(X0,X1) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X2,X5,X3] :
        ( ( right_apart_point(X5,X3)
          & left_apart_point(X2,X3) )
       => distinct_points(X2,X5) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X2,X5,X3] :
      ( ( right_apart_point(X5,X3)
        & left_apart_point(X2,X3) )
     => distinct_points(X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f140,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X3] :
      ~ ( left_apart_point(X2,reverse_line(X3))
        | left_apart_point(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GEO235+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Apr 30 05:50:06 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  % (2422)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34  % (2428)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.34  % (2425)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.34  % (2428)First to succeed.
% 0.12/0.34  % (2428)Refutation found. Thanks to Tanya!
% 0.12/0.34  % SZS status Theorem for theBenchmark
% 0.12/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.34  % (2428)------------------------------
% 0.12/0.34  % (2428)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.34  % (2428)Termination reason: Refutation
% 0.12/0.34  
% 0.12/0.34  % (2428)Memory used [KB]: 832
% 0.12/0.34  % (2428)Time elapsed: 0.003 s
% 0.12/0.34  % (2428)Instructions burned: 3 (million)
% 0.12/0.34  % (2428)------------------------------
% 0.12/0.34  % (2428)------------------------------
% 0.12/0.34  % (2422)Success in time 0.014 s
%------------------------------------------------------------------------------