%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO209+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 : n007.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 16:09:14 EDT 2022

% Result   : Theorem 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :  107 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   98 (  27   ~;  17   |;  43   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   68 (  52   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f101,plain,
    $false,
    inference(subsumption_resolution,[],[f100,f88]) ).

fof(f88,plain,
    ~ convergent_lines(sK1,sK2),
    inference(resolution,[],[f75,f71]) ).

fof(f71,plain,
    parallel_lines(sK1,sK2),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( parallel_lines(sK3,sK2)
    & ~ equal_lines(sK3,sK1)
    & incident_point_and_line(sK0,sK3)
    & parallel_lines(sK1,sK2)
    & apart_point_and_line(sK0,sK2)
    & incident_point_and_line(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f60,f61]) ).

fof(f61,plain,
    ( ? [X0,X1,X2,X3] :
        ( parallel_lines(X3,X2)
        & ~ equal_lines(X3,X1)
        & incident_point_and_line(X0,X3)
        & parallel_lines(X1,X2)
        & apart_point_and_line(X0,X2)
        & incident_point_and_line(X0,X1) )
   => ( parallel_lines(sK3,sK2)
      & ~ equal_lines(sK3,sK1)
      & incident_point_and_line(sK0,sK3)
      & parallel_lines(sK1,sK2)
      & apart_point_and_line(sK0,sK2)
      & incident_point_and_line(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ? [X0,X1,X2,X3] :
      ( parallel_lines(X3,X2)
      & ~ equal_lines(X3,X1)
      & incident_point_and_line(X0,X3)
      & parallel_lines(X1,X2)
      & apart_point_and_line(X0,X2)
      & incident_point_and_line(X0,X1) ),
    inference(rectify,[],[f59]) ).

fof(f59,plain,
    ? [X0,X3,X2,X1] :
      ( parallel_lines(X1,X2)
      & ~ equal_lines(X1,X3)
      & incident_point_and_line(X0,X1)
      & parallel_lines(X3,X2)
      & apart_point_and_line(X0,X2)
      & incident_point_and_line(X0,X3) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ? [X1,X3,X0,X2] :
      ( ~ equal_lines(X1,X3)
      & parallel_lines(X1,X2)
      & parallel_lines(X3,X2)
      & incident_point_and_line(X0,X3)
      & apart_point_and_line(X0,X2)
      & incident_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ~ ! [X1,X3,X0,X2] :
        ( ( parallel_lines(X1,X2)
          & parallel_lines(X3,X2)
          & incident_point_and_line(X0,X3)
          & apart_point_and_line(X0,X2)
          & incident_point_and_line(X0,X1) )
       => equal_lines(X1,X3) ),
    inference(rectify,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X8,X6,X5,X7] :
        ( ( incident_point_and_line(X8,X7)
          & parallel_lines(X7,X5)
          & incident_point_and_line(X8,X6)
          & apart_point_and_line(X8,X5)
          & parallel_lines(X6,X5) )
       => equal_lines(X6,X7) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X8,X6,X5,X7] :
      ( ( incident_point_and_line(X8,X7)
        & parallel_lines(X7,X5)
        & incident_point_and_line(X8,X6)
        & apart_point_and_line(X8,X5)
        & parallel_lines(X6,X5) )
     => equal_lines(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ parallel_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | ~ parallel_lines(X0,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( parallel_lines(X0,X1)
     => ~ convergent_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( parallel_lines(X0,X1)
    <=> ~ convergent_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).

fof(f100,plain,
    convergent_lines(sK1,sK2),
    inference(resolution,[],[f97,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ distinct_lines(X1,X0)
      | convergent_lines(X1,X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ distinct_lines(X1,X0)
      | convergent_lines(X1,X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X1,X0] :
      ( distinct_lines(X1,X0)
     => convergent_lines(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X0] :
      ( distinct_lines(X0,X1)
     => convergent_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(f97,plain,
    distinct_lines(sK1,sK2),
    inference(resolution,[],[f96,f89]) ).

fof(f89,plain,
    ~ convergent_lines(sK3,sK2),
    inference(resolution,[],[f75,f74]) ).

fof(f74,plain,
    parallel_lines(sK3,sK2),
    inference(cnf_transformation,[],[f62]) ).

fof(f96,plain,
    ! [X0] :
      ( convergent_lines(sK3,X0)
      | distinct_lines(sK1,X0) ),
    inference(resolution,[],[f76,f95]) ).

fof(f95,plain,
    convergent_lines(sK3,sK1),
    inference(resolution,[],[f84,f90]) ).

fof(f90,plain,
    distinct_lines(sK3,sK1),
    inference(resolution,[],[f78,f73]) ).

fof(f73,plain,
    ~ equal_lines(sK3,sK1),
    inference(cnf_transformation,[],[f62]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( equal_lines(X1,X0)
      | distinct_lines(X1,X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ( ~ distinct_lines(X1,X0)
        | ~ equal_lines(X1,X0) )
      & ( equal_lines(X1,X0)
        | distinct_lines(X1,X0) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ distinct_lines(X1,X0)
    <=> equal_lines(X1,X0) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X1,X0] :
      ( equal_lines(X0,X1)
    <=> ~ distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X1,X2)
      | convergent_lines(X1,X0)
      | distinct_lines(X2,X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X0)
      | distinct_lines(X2,X0)
      | ~ convergent_lines(X1,X2) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO209+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % 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 : n007.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:13:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (4630)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.48  % (4630)First to succeed.
% 0.20/0.48  % (4630)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Theorem for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (4630)------------------------------
% 0.20/0.48  % (4630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (4630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (4630)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (4630)Memory used [KB]: 6012
% 0.20/0.48  % (4630)Time elapsed: 0.065 s
% 0.20/0.48  % (4630)Instructions burned: 2 (million)
% 0.20/0.48  % (4630)------------------------------
% 0.20/0.48  % (4630)------------------------------
% 0.20/0.48  % (4622)Success in time 0.125 s
%------------------------------------------------------------------------------