%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO235+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n008.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 16:12:25 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% 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 :    8 (   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(f171,plain,
    $false,
    inference(subsumption_resolution,[],[f152,f129]) ).

fof(f129,plain,
    ! [X0,X1] : ~ left_apart_point(X1,X0),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X1,X0)
      & ~ left_apart_point(X1,reverse_line(X0)) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X1,X0] :
      ~ ( left_apart_point(X1,X0)
        | left_apart_point(X1,reverse_line(X0)) ),
    inference(rectify,[],[f20]) ).

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

fof(f152,plain,
    left_apart_point(sK2,sK0),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ( right_apart_point(sK1,sK0)
    & left_apart_point(sK2,sK0)
    & ~ distinct_points(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f82,f120]) ).

fof(f120,plain,
    ( ? [X0,X1,X2] :
        ( right_apart_point(X1,X0)
        & left_apart_point(X2,X0)
        & ~ distinct_points(X2,X1) )
   => ( right_apart_point(sK1,sK0)
      & left_apart_point(sK2,sK0)
      & ~ distinct_points(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ? [X0,X1,X2] :
      ( right_apart_point(X1,X0)
      & left_apart_point(X2,X0)
      & ~ distinct_points(X2,X1) ),
    inference(flattening,[],[f81]) ).

fof(f81,plain,
    ? [X2,X1,X0] :
      ( ~ distinct_points(X2,X1)
      & left_apart_point(X2,X0)
      & right_apart_point(X1,X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ~ ! [X2,X1,X0] :
        ( ( left_apart_point(X2,X0)
          & right_apart_point(X1,X0) )
       => distinct_points(X2,X1) ),
    inference(rectify,[],[f38]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GEO235+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 21:36:10 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.52  % (15763)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (15771)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (15771)First to succeed.
% 0.19/0.53  % (15771)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (15771)------------------------------
% 0.19/0.53  % (15771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15771)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (15771)Memory used [KB]: 5500
% 0.19/0.53  % (15771)Time elapsed: 0.007 s
% 0.19/0.53  % (15771)Instructions burned: 3 (million)
% 0.19/0.53  % (15771)------------------------------
% 0.19/0.53  % (15771)------------------------------
% 0.19/0.53  % (15758)Success in time 0.187 s
%------------------------------------------------------------------------------