TSTP Solution File: GEO205+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 May  1 02:22:56 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   87 (   8 unt;   0 def)
%            Number of atoms       :  286 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  324 ( 125   ~; 165   |;  16   &)
%                                         (   8 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  114 ( 105   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f249,plain,
    $false,
    inference(avatar_sat_refutation,[],[f61,f73,f133,f136,f204,f210,f224,f230,f248]) ).

fof(f248,plain,
    ( ~ spl3_1
    | ~ spl3_13 ),
    inference(avatar_contradiction_clause,[],[f247]) ).

fof(f247,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_13 ),
    inference(subsumption_resolution,[],[f246,f55]) ).

fof(f55,plain,
    ( convergent_lines(sK0,sK2)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl3_1
  <=> convergent_lines(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f246,plain,
    ( ~ convergent_lines(sK0,sK2)
    | ~ spl3_13 ),
    inference(resolution,[],[f209,f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    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/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700',ci3) ).

fof(f209,plain,
    ( apart_point_and_line(intersection_point(sK0,sK2),sK0)
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl3_13
  <=> apart_point_and_line(intersection_point(sK0,sK2),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f230,plain,
    ~ spl3_7,
    inference(avatar_contradiction_clause,[],[f229]) ).

fof(f229,plain,
    ( $false
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f228,f38]) ).

fof(f38,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
      | ~ convergent_lines(sK0,sK2) )
    & ~ distinct_lines(sK1,sK2)
    & convergent_lines(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f36]) ).

fof(f36,plain,
    ( ? [X0,X1,X2] :
        ( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
          | ~ convergent_lines(X0,X2) )
        & ~ distinct_lines(X1,X2)
        & convergent_lines(X0,X1) )
   => ( ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
        | ~ convergent_lines(sK0,sK2) )
      & ~ distinct_lines(sK1,sK2)
      & convergent_lines(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f19,plain,
    ? [X0,X1,X2] :
      ( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
        | ~ convergent_lines(X0,X2) )
      & ~ distinct_lines(X1,X2)
      & convergent_lines(X0,X1) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ? [X0,X1,X2] :
      ( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
        | ~ convergent_lines(X0,X2) )
      & ~ distinct_lines(X1,X2)
      & convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( ~ distinct_lines(X1,X2)
          & convergent_lines(X0,X1) )
       => ( ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
          & convergent_lines(X0,X2) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X0,X1,X2] :
      ( ( ~ distinct_lines(X1,X2)
        & convergent_lines(X0,X1) )
     => ( ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
        & convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700',con) ).

fof(f228,plain,
    ( ~ convergent_lines(sK0,sK1)
    | ~ spl3_7 ),
    inference(resolution,[],[f108,f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700',ci4) ).

fof(f108,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl3_7
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f224,plain,
    ( spl3_7
    | spl3_8
    | ~ spl3_1
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f223,f131,f54,f112,f106]) ).

fof(f112,plain,
    ( spl3_8
  <=> ! [X0] :
        ( distinct_lines(X0,sK0)
        | ~ distinct_lines(sK1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f131,plain,
    ( spl3_11
  <=> ! [X0,X1] :
        ( apart_point_and_line(intersection_point(sK0,sK1),X0)
        | ~ distinct_lines(X0,X1)
        | distinct_lines(X1,sK0)
        | apart_point_and_line(intersection_point(sK0,sK2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f223,plain,
    ( ! [X0] :
        ( ~ distinct_lines(sK1,X0)
        | distinct_lines(X0,sK0)
        | apart_point_and_line(intersection_point(sK0,sK1),sK1) )
    | ~ spl3_1
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f194,f55]) ).

fof(f194,plain,
    ( ! [X0] :
        ( ~ distinct_lines(sK1,X0)
        | distinct_lines(X0,sK0)
        | apart_point_and_line(intersection_point(sK0,sK1),sK1)
        | ~ convergent_lines(sK0,sK2) )
    | ~ spl3_11 ),
    inference(resolution,[],[f132,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ apart_point_and_line(intersection_point(X0,sK2),sK1)
      | ~ convergent_lines(X0,sK2) ),
    inference(resolution,[],[f63,f44]) ).

fof(f63,plain,
    ! [X0] :
      ( apart_point_and_line(X0,sK2)
      | ~ apart_point_and_line(X0,sK1) ),
    inference(resolution,[],[f39,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700',ceq2) ).

fof(f39,plain,
    ~ distinct_lines(sK1,sK2),
    inference(cnf_transformation,[],[f37]) ).

fof(f132,plain,
    ( ! [X0,X1] :
        ( apart_point_and_line(intersection_point(sK0,sK2),X0)
        | ~ distinct_lines(X0,X1)
        | distinct_lines(X1,sK0)
        | apart_point_and_line(intersection_point(sK0,sK1),X0) )
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f210,plain,
    ( spl3_13
    | spl3_4
    | ~ spl3_2
    | ~ spl3_8
    | spl3_9 ),
    inference(avatar_split_clause,[],[f205,f115,f112,f58,f85,f207]) ).

fof(f85,plain,
    ( spl3_4
  <=> ! [X0] :
        ( apart_point_and_line(intersection_point(sK0,sK1),X0)
        | ~ distinct_lines(sK1,X0)
        | apart_point_and_line(intersection_point(sK0,sK2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f58,plain,
    ( spl3_2
  <=> distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f115,plain,
    ( spl3_9
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f205,plain,
    ( ! [X0] :
        ( ~ distinct_lines(sK1,X0)
        | apart_point_and_line(intersection_point(sK0,sK1),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),sK0) )
    | ~ spl3_2
    | ~ spl3_8
    | spl3_9 ),
    inference(subsumption_resolution,[],[f170,f116]) ).

fof(f116,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | spl3_9 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f170,plain,
    ( ! [X0] :
        ( ~ distinct_lines(sK1,X0)
        | apart_point_and_line(intersection_point(sK0,sK1),sK0)
        | apart_point_and_line(intersection_point(sK0,sK1),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),sK0) )
    | ~ spl3_2
    | ~ spl3_8 ),
    inference(resolution,[],[f113,f74]) ).

fof(f74,plain,
    ( ! [X0,X1] :
        ( ~ distinct_lines(X0,X1)
        | apart_point_and_line(intersection_point(sK0,sK1),X1)
        | apart_point_and_line(intersection_point(sK0,sK1),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),X1) )
    | ~ spl3_2 ),
    inference(resolution,[],[f60,f48]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_points(X0,X1)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | apart_point_and_line(X1,X3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] :
      ( ( distinct_lines(X2,X3)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X3,X4] :
      ( ( distinct_lines(X3,X4)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X4)
        | apart_point_and_line(X1,X3)
        | apart_point_and_line(X0,X4)
        | apart_point_and_line(X0,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700',cu1) ).

fof(f60,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f113,plain,
    ( ! [X0] :
        ( distinct_lines(X0,sK0)
        | ~ distinct_lines(sK1,X0) )
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f204,plain,
    ( ~ spl3_1
    | ~ spl3_4
    | spl3_9 ),
    inference(avatar_contradiction_clause,[],[f203]) ).

fof(f203,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_4
    | spl3_9 ),
    inference(subsumption_resolution,[],[f202,f52]) ).

fof(f52,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700',apart3) ).

fof(f202,plain,
    ( convergent_lines(sK0,sK0)
    | ~ spl3_1
    | ~ spl3_4
    | spl3_9 ),
    inference(resolution,[],[f168,f38]) ).

fof(f168,plain,
    ( ! [X0] :
        ( ~ convergent_lines(X0,sK1)
        | convergent_lines(X0,sK0) )
    | ~ spl3_1
    | ~ spl3_4
    | spl3_9 ),
    inference(subsumption_resolution,[],[f167,f55]) ).

fof(f167,plain,
    ( ! [X0] :
        ( convergent_lines(X0,sK0)
        | ~ convergent_lines(X0,sK1)
        | ~ convergent_lines(sK0,sK2) )
    | ~ spl3_4
    | spl3_9 ),
    inference(subsumption_resolution,[],[f166,f116]) ).

fof(f166,plain,
    ( ! [X0] :
        ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
        | convergent_lines(X0,sK0)
        | ~ convergent_lines(X0,sK1)
        | ~ convergent_lines(sK0,sK2) )
    | ~ spl3_4 ),
    inference(resolution,[],[f96,f45]) ).

fof(f96,plain,
    ( ! [X0,X1] :
        ( apart_point_and_line(intersection_point(sK0,sK2),X0)
        | apart_point_and_line(intersection_point(sK0,sK1),X0)
        | convergent_lines(X1,X0)
        | ~ convergent_lines(X1,sK1) )
    | ~ spl3_4 ),
    inference(resolution,[],[f86,f46]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700',ceq3) ).

fof(f86,plain,
    ( ! [X0] :
        ( ~ distinct_lines(sK1,X0)
        | apart_point_and_line(intersection_point(sK0,sK1),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),X0) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f136,plain,
    ~ spl3_9,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f134,f38]) ).

fof(f134,plain,
    ( ~ convergent_lines(sK0,sK1)
    | ~ spl3_9 ),
    inference(resolution,[],[f117,f45]) ).

fof(f117,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f133,plain,
    ( spl3_9
    | spl3_11
    | ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f129,f58,f54,f131,f115]) ).

fof(f129,plain,
    ( ! [X0,X1] :
        ( apart_point_and_line(intersection_point(sK0,sK1),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),X0)
        | apart_point_and_line(intersection_point(sK0,sK1),sK0)
        | distinct_lines(X1,sK0)
        | ~ distinct_lines(X0,X1) )
    | ~ spl3_1
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f121,f55]) ).

fof(f121,plain,
    ( ! [X0,X1] :
        ( apart_point_and_line(intersection_point(sK0,sK1),X0)
        | apart_point_and_line(intersection_point(sK0,sK2),X0)
        | apart_point_and_line(intersection_point(sK0,sK1),sK0)
        | distinct_lines(X1,sK0)
        | ~ distinct_lines(X0,X1)
        | ~ convergent_lines(sK0,sK2) )
    | ~ spl3_2 ),
    inference(resolution,[],[f76,f45]) ).

fof(f76,plain,
    ( ! [X2,X0,X1] :
        ( apart_point_and_line(intersection_point(sK0,sK2),X0)
        | apart_point_and_line(intersection_point(sK0,sK1),X1)
        | apart_point_and_line(intersection_point(sK0,sK2),X1)
        | apart_point_and_line(intersection_point(sK0,sK1),X0)
        | distinct_lines(X2,X0)
        | ~ distinct_lines(X1,X2) )
    | ~ spl3_2 ),
    inference(resolution,[],[f74,f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( distinct_lines(X0,X1)
     => ( distinct_lines(X1,X2)
        | distinct_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700',apart5) ).

fof(f73,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f72]) ).

fof(f72,plain,
    ( $false
    | spl3_1 ),
    inference(subsumption_resolution,[],[f71,f38]) ).

fof(f71,plain,
    ( ~ convergent_lines(sK0,sK1)
    | spl3_1 ),
    inference(resolution,[],[f64,f56]) ).

fof(f56,plain,
    ( ~ convergent_lines(sK0,sK2)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f64,plain,
    ! [X0] :
      ( convergent_lines(X0,sK2)
      | ~ convergent_lines(X0,sK1) ),
    inference(resolution,[],[f39,f46]) ).

fof(f61,plain,
    ( ~ spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f40,f58,f54]) ).

fof(f40,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
    | ~ convergent_lines(sK0,sK2) ),
    inference(cnf_transformation,[],[f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 19:00:42 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.0LF9S0wZJm/Vampire---4.8_9700
% 0.57/0.74  % (10125)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (10118)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (10120)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (10119)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (10121)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (10123)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (10122)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (10124)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74  % (10123)Refutation not found, incomplete strategy% (10123)------------------------------
% 0.57/0.74  % (10123)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (10123)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (10123)Memory used [KB]: 988
% 0.57/0.74  % (10123)Time elapsed: 0.003 s
% 0.57/0.74  % (10123)Instructions burned: 3 (million)
% 0.57/0.74  % (10123)------------------------------
% 0.57/0.74  % (10123)------------------------------
% 0.57/0.74  % (10125)First to succeed.
% 0.57/0.74  % (10121)Also succeeded, but the first one will report.
% 0.57/0.74  % (10125)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (10125)------------------------------
% 0.57/0.75  % (10125)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (10125)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (10125)Memory used [KB]: 1112
% 0.57/0.75  % (10125)Time elapsed: 0.006 s
% 0.57/0.75  % (10125)Instructions burned: 11 (million)
% 0.57/0.75  % (10125)------------------------------
% 0.57/0.75  % (10125)------------------------------
% 0.57/0.75  % (9972)Success in time 0.374 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------