TSTP Solution File: GEO205+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 : Tue Apr 30 11:14:42 EDT 2024

% Result   : Theorem 0.11s 0.36s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   86 (  13 unt;   0 def)
%            Number of atoms       :  240 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  257 ( 103   ~; 118   |;  18   &)
%                                         (   7 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  122 ( 113   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f587,plain,
    $false,
    inference(avatar_sat_refutation,[],[f64,f76,f406,f507,f547,f551,f564,f586]) ).

fof(f586,plain,
    ~ spl3_3,
    inference(avatar_contradiction_clause,[],[f583]) ).

fof(f583,plain,
    ( $false
    | ~ spl3_3 ),
    inference(resolution,[],[f576,f37]) ).

fof(f37,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,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])],[f17,f35]) ).

fof(f35,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(f17,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,[],[f16]) ).

fof(f16,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,[],[f14]) ).

fof(f14,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,[],[f13]) ).

fof(f13,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/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f576,plain,
    ( ~ convergent_lines(sK0,sK1)
    | ~ spl3_3 ),
    inference(resolution,[],[f397,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(resolution,[],[f45,f42]) ).

fof(f42,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ~ apart_point_and_line(X2,X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ( ~ apart_point_and_line(X2,X1)
        & ~ apart_point_and_line(X2,X0) )
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ( ~ apart_point_and_line(X2,X1)
        & ~ apart_point_and_line(X2,X0) )
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( ( apart_point_and_line(X2,X1)
          | apart_point_and_line(X2,X0) )
       => distinct_points(X2,intersection_point(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).

fof(f397,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl3_3
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f564,plain,
    ~ spl3_7,
    inference(avatar_contradiction_clause,[],[f563]) ).

fof(f563,plain,
    ( $false
    | ~ spl3_7 ),
    inference(resolution,[],[f546,f41]) ).

fof(f41,plain,
    ! [X0] : ~ distinct_lines(X0,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] : ~ distinct_lines(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).

fof(f546,plain,
    ( distinct_lines(sK1,sK1)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl3_7
  <=> distinct_lines(sK1,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f551,plain,
    spl3_6,
    inference(avatar_contradiction_clause,[],[f548]) ).

fof(f548,plain,
    ( $false
    | spl3_6 ),
    inference(resolution,[],[f542,f37]) ).

fof(f542,plain,
    ( ~ convergent_lines(sK0,sK1)
    | spl3_6 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl3_6
  <=> convergent_lines(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f547,plain,
    ( ~ spl3_6
    | spl3_7
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f519,f403,f544,f540]) ).

fof(f403,plain,
    ( spl3_5
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f519,plain,
    ( distinct_lines(sK1,sK1)
    | ~ convergent_lines(sK0,sK1)
    | ~ spl3_5 ),
    inference(resolution,[],[f405,f225]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),sK2)
      | distinct_lines(sK1,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(resolution,[],[f99,f78]) ).

fof(f78,plain,
    ~ distinct_lines(sK2,sK1),
    inference(resolution,[],[f71,f41]) ).

fof(f71,plain,
    ! [X0] :
      ( distinct_lines(X0,sK2)
      | ~ distinct_lines(X0,sK1) ),
    inference(resolution,[],[f47,f38]) ).

fof(f38,plain,
    ~ distinct_lines(sK1,sK2),
    inference(cnf_transformation,[],[f36]) ).

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

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

fof(f23,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/sandbox2/benchmark/theBenchmark.p',apart5) ).

fof(f99,plain,
    ! [X2,X3,X0,X1] :
      ( distinct_lines(X3,X0)
      | ~ convergent_lines(X2,X1)
      | distinct_lines(X0,X1)
      | ~ apart_point_and_line(intersection_point(X2,X1),X3) ),
    inference(resolution,[],[f93,f48]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
      | distinct_lines(X2,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(resolution,[],[f89,f48]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(resolution,[],[f46,f42]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ~ apart_point_and_line(X2,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f405,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f507,plain,
    ( ~ spl3_1
    | spl3_4 ),
    inference(avatar_contradiction_clause,[],[f504]) ).

fof(f504,plain,
    ( $false
    | ~ spl3_1
    | spl3_4 ),
    inference(resolution,[],[f446,f58]) ).

fof(f58,plain,
    ( convergent_lines(sK0,sK2)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl3_1
  <=> convergent_lines(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f446,plain,
    ( ~ convergent_lines(sK0,sK2)
    | spl3_4 ),
    inference(resolution,[],[f440,f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).

fof(f440,plain,
    ( ~ distinct_lines(sK0,sK2)
    | spl3_4 ),
    inference(resolution,[],[f409,f41]) ).

fof(f409,plain,
    ( ! [X0] :
        ( distinct_lines(X0,sK0)
        | ~ distinct_lines(X0,sK2) )
    | spl3_4 ),
    inference(resolution,[],[f401,f47]) ).

fof(f401,plain,
    ( ~ distinct_lines(sK2,sK0)
    | spl3_4 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f399,plain,
    ( spl3_4
  <=> distinct_lines(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f406,plain,
    ( ~ spl3_1
    | spl3_3
    | ~ spl3_4
    | spl3_5
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f335,f61,f403,f399,f395,f57]) ).

fof(f61,plain,
    ( spl3_2
  <=> distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f335,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | ~ distinct_lines(sK2,sK0)
    | apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ convergent_lines(sK0,sK2)
    | ~ spl3_2 ),
    inference(resolution,[],[f143,f63]) ).

fof(f63,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ distinct_points(X0,intersection_point(X1,X2))
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X1)
      | apart_point_and_line(X0,X1)
      | ~ convergent_lines(X1,X2) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,X1)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X1)
      | ~ distinct_points(X0,intersection_point(X1,X2))
      | ~ convergent_lines(X1,X2)
      | ~ convergent_lines(X1,X2) ),
    inference(resolution,[],[f100,f89]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1] :
      ( apart_point_and_line(intersection_point(X0,X1),X2)
      | apart_point_and_line(X3,X0)
      | apart_point_and_line(X3,X2)
      | ~ distinct_lines(X2,X0)
      | ~ distinct_points(X3,intersection_point(X0,X1))
      | ~ convergent_lines(X0,X1) ),
    inference(resolution,[],[f53,f86]) ).

fof(f53,plain,
    ! [X2,X3,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)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,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,[],[f33]) ).

fof(f33,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,[],[f15]) ).

fof(f15,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,[],[f9]) ).

fof(f9,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/sandbox2/benchmark/theBenchmark.p',cu1) ).

fof(f76,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f74]) ).

fof(f74,plain,
    ( $false
    | spl3_1 ),
    inference(resolution,[],[f70,f37]) ).

fof(f70,plain,
    ( ~ convergent_lines(sK0,sK1)
    | spl3_1 ),
    inference(resolution,[],[f66,f59]) ).

fof(f59,plain,
    ( ~ convergent_lines(sK0,sK2)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f66,plain,
    ! [X0] :
      ( convergent_lines(X0,sK2)
      | ~ convergent_lines(X0,sK1) ),
    inference(resolution,[],[f44,f54]) ).

fof(f54,plain,
    ~ convergent_lines(sK1,sK2),
    inference(resolution,[],[f43,f38]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X1,X2)
        | convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).

fof(f64,plain,
    ( ~ spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f39,f61,f57]) ).

fof(f39,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
    | ~ convergent_lines(sK0,sK2) ),
    inference(cnf_transformation,[],[f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 05:50:59 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.33  % (16706)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (16711)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34  % (16708)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (16712)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34  % (16713)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (16710)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34  % (16707)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (16709)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.34  TRYING [1,1]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2,2]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2,3]
% 0.11/0.34  TRYING [1,1]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [2,2]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [2,3]
% 0.11/0.34  TRYING [3,3]
% 0.11/0.34  TRYING [3,3]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [2,4]
% 0.11/0.35  TRYING [2,4]
% 0.11/0.35  TRYING [3,4]
% 0.11/0.35  TRYING [3,4]
% 0.11/0.35  TRYING [5]
% 0.11/0.35  TRYING [5]
% 0.11/0.35  TRYING [2,5]
% 0.11/0.35  TRYING [2,5]
% 0.11/0.35  TRYING [3,5]
% 0.11/0.35  TRYING [3,5]
% 0.11/0.35  TRYING [2,6]
% 0.11/0.35  TRYING [6]
% 0.11/0.36  TRYING [2,6]
% 0.11/0.36  TRYING [6]
% 0.11/0.36  % (16709)First to succeed.
% 0.11/0.36  TRYING [3,6]
% 0.11/0.36  TRYING [3,6]
% 0.11/0.36  % (16709)Refutation found. Thanks to Tanya!
% 0.11/0.36  % SZS status Theorem for theBenchmark
% 0.11/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36  % (16709)------------------------------
% 0.11/0.36  % (16709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.36  % (16709)Termination reason: Refutation
% 0.11/0.36  
% 0.11/0.36  % (16709)Memory used [KB]: 1017
% 0.11/0.36  % (16709)Time elapsed: 0.017 s
% 0.11/0.36  % (16709)Instructions burned: 31 (million)
% 0.11/0.36  % (16709)------------------------------
% 0.11/0.36  % (16709)------------------------------
% 0.11/0.36  % (16706)Success in time 0.027 s
%------------------------------------------------------------------------------