%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO176+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_uns --cores 0 -t %d %s

% Computer : n026.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 16:08:57 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (   8 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   85 (  30   ~;  25   |;  21   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   59 (  47   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f117,plain,
    $false,
    inference(subsumption_resolution,[],[f116,f112]) ).

fof(f112,plain,
    ~ apart_point_and_line(sK3,sK0),
    inference(resolution,[],[f104,f100]) ).

fof(f100,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK2),sK0),
    inference(resolution,[],[f93,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X1,X0)
      | ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X1,X0)
      | ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( ~ convergent_lines(X0,X1)
      | ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).

fof(f93,plain,
    convergent_lines(sK0,sK2),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( apart_point_and_line(sK3,sK2)
      | apart_point_and_line(sK3,sK0) )
    & distinct_points(sK3,sK1)
    & ~ distinct_points(sK3,intersection_point(sK0,sK2))
    & convergent_lines(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f63,f78]) ).

fof(f78,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( apart_point_and_line(X3,X2)
          | apart_point_and_line(X3,X0) )
        & distinct_points(X3,X1)
        & ~ distinct_points(X3,intersection_point(X0,X2))
        & convergent_lines(X0,X2) )
   => ( ( apart_point_and_line(sK3,sK2)
        | apart_point_and_line(sK3,sK0) )
      & distinct_points(sK3,sK1)
      & ~ distinct_points(sK3,intersection_point(sK0,sK2))
      & convergent_lines(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ? [X0,X1,X2,X3] :
      ( ( apart_point_and_line(X3,X2)
        | apart_point_and_line(X3,X0) )
      & distinct_points(X3,X1)
      & ~ distinct_points(X3,intersection_point(X0,X2))
      & convergent_lines(X0,X2) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ? [X3,X2,X1,X0] :
      ( ~ distinct_points(X3,intersection_point(X0,X2))
      & ( apart_point_and_line(X3,X2)
        | apart_point_and_line(X3,X0) )
      & convergent_lines(X0,X2)
      & distinct_points(X3,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ~ ! [X3,X2,X1,X0] :
        ( ( ( apart_point_and_line(X3,X2)
            | apart_point_and_line(X3,X0) )
          & convergent_lines(X0,X2)
          & distinct_points(X3,X1) )
       => distinct_points(X3,intersection_point(X0,X2)) ),
    inference(rectify,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X3,X1,X4,X0] :
        ( ( convergent_lines(X3,X4)
          & distinct_points(X0,X1)
          & ( apart_point_and_line(X0,X4)
            | apart_point_and_line(X0,X3) ) )
       => distinct_points(X0,intersection_point(X3,X4)) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X3,X1,X4,X0] :
      ( ( convergent_lines(X3,X4)
        & distinct_points(X0,X1)
        & ( apart_point_and_line(X0,X4)
          | apart_point_and_line(X0,X3) ) )
     => distinct_points(X0,intersection_point(X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f104,plain,
    ! [X0] :
      ( apart_point_and_line(intersection_point(sK0,sK2),X0)
      | ~ apart_point_and_line(sK3,X0) ),
    inference(resolution,[],[f94,f91]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X0,X1)
      | apart_point_and_line(X1,X2)
      | ~ apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X1,X2)
      | ~ apart_point_and_line(X0,X2)
      | distinct_points(X0,X1) ),
    inference(rectify,[],[f61]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,X1)
      | ~ apart_point_and_line(X2,X1)
      | distinct_points(X2,X0) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
      | distinct_points(X2,X0)
      | ~ apart_point_and_line(X2,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
     => ( apart_point_and_line(X0,X1)
        | distinct_points(X2,X0) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X2,X1,X0] :
      ( apart_point_and_line(X0,X1)
     => ( distinct_points(X0,X2)
        | apart_point_and_line(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).

fof(f94,plain,
    ~ distinct_points(sK3,intersection_point(sK0,sK2)),
    inference(cnf_transformation,[],[f79]) ).

fof(f116,plain,
    apart_point_and_line(sK3,sK0),
    inference(resolution,[],[f113,f96]) ).

fof(f96,plain,
    ( apart_point_and_line(sK3,sK2)
    | apart_point_and_line(sK3,sK0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f113,plain,
    ~ apart_point_and_line(sK3,sK2),
    inference(resolution,[],[f104,f101]) ).

fof(f101,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK2),sK2),
    inference(resolution,[],[f93,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X1,X0)
      | ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X1,X0),X0)
      | ~ convergent_lines(X1,X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( convergent_lines(X1,X0)
     => ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 29 21:38:35 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.52  % (7394)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.52  % (7376)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)
% 0.21/0.52  % (7376)First to succeed.
% 0.21/0.52  % (7376)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Theorem for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (7376)------------------------------
% 0.21/0.52  % (7376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (7376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (7376)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (7376)Memory used [KB]: 1535
% 0.21/0.52  % (7376)Time elapsed: 0.110 s
% 0.21/0.52  % (7376)Instructions burned: 3 (million)
% 0.21/0.52  % (7376)------------------------------
% 0.21/0.52  % (7376)------------------------------
% 0.21/0.52  % (7365)Success in time 0.16 s
%------------------------------------------------------------------------------