%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n016.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 16:09:00 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   33 (   8 unt;   0 def)
%            Number of atoms       :  104 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  113 (  42   ~;  32   |;  31   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   68 (  52   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f105,plain,
    $false,
    inference(subsumption_resolution,[],[f104,f85]) ).

fof(f85,plain,
    ~ apart_point_and_line(sK1,sK2),
    inference(resolution,[],[f79,f50]) ).

fof(f50,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).

fof(f79,plain,
    ! [X0] :
      ( distinct_points(X0,sK1)
      | ~ apart_point_and_line(X0,sK2) ),
    inference(subsumption_resolution,[],[f77,f57]) ).

fof(f57,plain,
    distinct_points(sK1,sK3),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( convergent_lines(sK2,sK0)
    & distinct_points(sK1,sK3)
    & ( apart_point_and_line(sK3,sK2)
      | apart_point_and_line(sK1,sK2) )
    & ~ distinct_lines(sK2,line_connecting(sK1,sK3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f41,f42]) ).

fof(f42,plain,
    ( ? [X0,X1,X2,X3] :
        ( convergent_lines(X2,X0)
        & distinct_points(X1,X3)
        & ( apart_point_and_line(X3,X2)
          | apart_point_and_line(X1,X2) )
        & ~ distinct_lines(X2,line_connecting(X1,X3)) )
   => ( convergent_lines(sK2,sK0)
      & distinct_points(sK1,sK3)
      & ( apart_point_and_line(sK3,sK2)
        | apart_point_and_line(sK1,sK2) )
      & ~ distinct_lines(sK2,line_connecting(sK1,sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ? [X0,X1,X2,X3] :
      ( convergent_lines(X2,X0)
      & distinct_points(X1,X3)
      & ( apart_point_and_line(X3,X2)
        | apart_point_and_line(X1,X2) )
      & ~ distinct_lines(X2,line_connecting(X1,X3)) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ? [X0,X3,X2,X1] :
      ( convergent_lines(X2,X0)
      & distinct_points(X3,X1)
      & ( apart_point_and_line(X1,X2)
        | apart_point_and_line(X3,X2) )
      & ~ distinct_lines(X2,line_connecting(X3,X1)) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ? [X2,X0,X1,X3] :
      ( ( apart_point_and_line(X1,X2)
        | apart_point_and_line(X3,X2) )
      & convergent_lines(X2,X0)
      & ~ distinct_lines(X2,line_connecting(X3,X1))
      & distinct_points(X3,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ~ ! [X2,X0,X1,X3] :
        ( ( convergent_lines(X2,X0)
          & ~ distinct_lines(X2,line_connecting(X3,X1))
          & distinct_points(X3,X1) )
       => ( ~ apart_point_and_line(X3,X2)
          & ~ apart_point_and_line(X1,X2) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ! [X4,X1,X3,X0] :
        ( ( distinct_points(X0,X1)
          & ~ distinct_lines(X3,line_connecting(X0,X1))
          & convergent_lines(X3,X4) )
       => ( ~ apart_point_and_line(X1,X3)
          & ~ apart_point_and_line(X0,X3) ) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ! [X4,X1,X3,X0] :
      ( ( distinct_points(X0,X1)
        & ~ distinct_lines(X3,line_connecting(X0,X1))
        & convergent_lines(X3,X4) )
     => ( ~ apart_point_and_line(X1,X3)
        & ~ apart_point_and_line(X0,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f77,plain,
    ! [X0] :
      ( distinct_points(X0,sK1)
      | ~ distinct_points(sK1,sK3)
      | ~ apart_point_and_line(X0,sK2) ),
    inference(resolution,[],[f66,f60]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X2,X0))
      | ~ distinct_points(X2,X0)
      | distinct_points(X1,X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ~ apart_point_and_line(X1,line_connecting(X2,X0))
      | ~ distinct_points(X2,X0)
      | ( distinct_points(X1,X0)
        & distinct_points(X1,X2) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ! [X1,X2,X0] :
      ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1)
      | ( distinct_points(X2,X1)
        & distinct_points(X2,X0) ) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X1,X2,X0] :
      ( ( distinct_points(X2,X1)
        & distinct_points(X2,X0) )
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X2,X0] :
      ( distinct_points(X0,X1)
     => ( apart_point_and_line(X2,line_connecting(X0,X1))
       => ( distinct_points(X2,X1)
          & distinct_points(X2,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).

fof(f66,plain,
    ! [X0] :
      ( apart_point_and_line(X0,line_connecting(sK1,sK3))
      | ~ apart_point_and_line(X0,sK2) ),
    inference(resolution,[],[f55,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X0,X2)
      | ~ apart_point_and_line(X1,X0)
      | apart_point_and_line(X1,X2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ~ apart_point_and_line(X1,X0)
      | apart_point_and_line(X1,X2)
      | distinct_lines(X0,X2) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X1,X2,X0] :
      ( distinct_lines(X0,X2)
      | apart_point_and_line(X1,X2)
      | ~ apart_point_and_line(X1,X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X1,X2,X0] :
      ( apart_point_and_line(X1,X0)
     => ( distinct_lines(X0,X2)
        | apart_point_and_line(X1,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X0,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).

fof(f55,plain,
    ~ distinct_lines(sK2,line_connecting(sK1,sK3)),
    inference(cnf_transformation,[],[f43]) ).

fof(f104,plain,
    apart_point_and_line(sK1,sK2),
    inference(resolution,[],[f89,f56]) ).

fof(f56,plain,
    ( apart_point_and_line(sK3,sK2)
    | apart_point_and_line(sK1,sK2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f89,plain,
    ~ apart_point_and_line(sK3,sK2),
    inference(resolution,[],[f80,f50]) ).

fof(f80,plain,
    ! [X1] :
      ( distinct_points(X1,sK3)
      | ~ apart_point_and_line(X1,sK2) ),
    inference(subsumption_resolution,[],[f78,f57]) ).

fof(f78,plain,
    ! [X1] :
      ( ~ apart_point_and_line(X1,sK2)
      | distinct_points(X1,sK3)
      | ~ distinct_points(sK1,sK3) ),
    inference(resolution,[],[f66,f61]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X2,X0))
      | ~ distinct_points(X2,X0)
      | distinct_points(X1,X0) ),
    inference(cnf_transformation,[],[f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 21:48:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (2575)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50  % (2579)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)
% 0.20/0.50  % (2579)First to succeed.
% 0.20/0.50  % (2579)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (2579)------------------------------
% 0.20/0.50  % (2579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (2579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (2579)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (2579)Memory used [KB]: 1407
% 0.20/0.50  % (2579)Time elapsed: 0.094 s
% 0.20/0.50  % (2579)Instructions burned: 3 (million)
% 0.20/0.50  % (2579)------------------------------
% 0.20/0.50  % (2579)------------------------------
% 0.20/0.50  % (2573)Success in time 0.148 s
%------------------------------------------------------------------------------