TSTP Solution File: GEO196+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO196+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n027.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 : Fri Sep  1 14:43:24 EDT 2023

% Result   : Theorem 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   83 (  12 unt;   0 def)
%            Number of atoms       :  253 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  281 ( 111   ~; 116   |;  34   &)
%                                         (  10 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :  102 (;  90   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1315,plain,
    $false,
    inference(avatar_sat_refutation,[],[f68,f128,f195,f215,f266,f285,f348,f851,f1271,f1279,f1314]) ).

fof(f1314,plain,
    ~ spl4_39,
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1311,plain,
    ( $false
    | ~ spl4_39 ),
    inference(resolution,[],[f1308,f42]) ).

fof(f42,plain,
    convergent_lines(sK2,sK3),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
      | apart_point_and_line(intersection_point(sK2,sK3),sK0) )
    & ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
    & ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
    & convergent_lines(sK2,sK3)
    & convergent_lines(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f20,f39]) ).

fof(f39,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( apart_point_and_line(intersection_point(X2,X3),X1)
          | apart_point_and_line(intersection_point(X2,X3),X0) )
        & ~ apart_point_and_line(intersection_point(X0,X1),X3)
        & ~ apart_point_and_line(intersection_point(X0,X1),X2)
        & convergent_lines(X2,X3)
        & convergent_lines(X0,X1) )
   => ( ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
        | apart_point_and_line(intersection_point(sK2,sK3),sK0) )
      & ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
      & ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
      & convergent_lines(sK2,sK3)
      & convergent_lines(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0,X1,X2,X3] :
      ( ( apart_point_and_line(intersection_point(X2,X3),X1)
        | apart_point_and_line(intersection_point(X2,X3),X0) )
      & ~ apart_point_and_line(intersection_point(X0,X1),X3)
      & ~ apart_point_and_line(intersection_point(X0,X1),X2)
      & convergent_lines(X2,X3)
      & convergent_lines(X0,X1) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ? [X0,X1,X2,X3] :
      ( ( apart_point_and_line(intersection_point(X2,X3),X1)
        | apart_point_and_line(intersection_point(X2,X3),X0) )
      & ~ apart_point_and_line(intersection_point(X0,X1),X3)
      & ~ apart_point_and_line(intersection_point(X0,X1),X2)
      & convergent_lines(X2,X3)
      & convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( ~ apart_point_and_line(intersection_point(X0,X1),X3)
          & ~ apart_point_and_line(intersection_point(X0,X1),X2)
          & convergent_lines(X2,X3)
          & convergent_lines(X0,X1) )
       => ( ~ apart_point_and_line(intersection_point(X2,X3),X1)
          & ~ apart_point_and_line(intersection_point(X2,X3),X0) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X0,X1,X3,X4] :
        ( ( ~ apart_point_and_line(intersection_point(X0,X1),X4)
          & ~ apart_point_and_line(intersection_point(X0,X1),X3)
          & convergent_lines(X3,X4)
          & convergent_lines(X0,X1) )
       => ( ~ apart_point_and_line(intersection_point(X3,X4),X1)
          & ~ apart_point_and_line(intersection_point(X3,X4),X0) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X0,X1,X3,X4] :
      ( ( ~ apart_point_and_line(intersection_point(X0,X1),X4)
        & ~ apart_point_and_line(intersection_point(X0,X1),X3)
        & convergent_lines(X3,X4)
        & convergent_lines(X0,X1) )
     => ( ~ apart_point_and_line(intersection_point(X3,X4),X1)
        & ~ apart_point_and_line(intersection_point(X3,X4),X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iuokF98E0W/Vampire---4.8_19448',con) ).

fof(f1308,plain,
    ( ~ convergent_lines(sK2,sK3)
    | ~ spl4_39 ),
    inference(resolution,[],[f1270,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,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/sandbox2/tmp/tmp.iuokF98E0W/Vampire---4.8_19448',ci3) ).

fof(f1270,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f1268]) ).

fof(f1268,plain,
    ( spl4_39
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f1279,plain,
    ~ spl4_34,
    inference(avatar_contradiction_clause,[],[f1276]) ).

fof(f1276,plain,
    ( $false
    | ~ spl4_34 ),
    inference(resolution,[],[f1273,f42]) ).

fof(f1273,plain,
    ( ~ convergent_lines(sK2,sK3)
    | ~ spl4_34 ),
    inference(resolution,[],[f990,f52]) ).

fof(f52,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/sandbox2/tmp/tmp.iuokF98E0W/Vampire---4.8_19448',ci4) ).

fof(f990,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f989,plain,
    ( spl4_34
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f1271,plain,
    ( spl4_39
    | ~ spl4_1
    | ~ spl4_14
    | spl4_34 ),
    inference(avatar_split_clause,[],[f1016,f989,f346,f61,f1268]) ).

fof(f61,plain,
    ( spl4_1
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f346,plain,
    ( spl4_14
  <=> ! [X7] :
        ( apart_point_and_line(X7,sK2)
        | ~ apart_point_and_line(X7,sK0)
        | apart_point_and_line(X7,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f1016,plain,
    ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
    | apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | ~ spl4_14
    | spl4_34 ),
    inference(resolution,[],[f991,f347]) ).

fof(f347,plain,
    ( ! [X7] :
        ( apart_point_and_line(X7,sK3)
        | ~ apart_point_and_line(X7,sK0)
        | apart_point_and_line(X7,sK2) )
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f991,plain,
    ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | spl4_34 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f851,plain,
    ( ~ spl4_3
    | ~ spl4_2
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f840,f264,f65,f117]) ).

fof(f117,plain,
    ( spl4_3
  <=> convergent_lines(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f65,plain,
    ( spl4_2
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f264,plain,
    ( spl4_11
  <=> ! [X6] :
        ( apart_point_and_line(X6,sK2)
        | ~ apart_point_and_line(X6,sK1)
        | apart_point_and_line(X6,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f840,plain,
    ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
    | ~ convergent_lines(sK2,sK3)
    | ~ spl4_11 ),
    inference(duplicate_literal_removal,[],[f835]) ).

fof(f835,plain,
    ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
    | ~ convergent_lines(sK2,sK3)
    | ~ convergent_lines(sK2,sK3)
    | ~ spl4_11 ),
    inference(resolution,[],[f290,f51]) ).

fof(f290,plain,
    ( ! [X1] :
        ( apart_point_and_line(intersection_point(X1,sK3),sK2)
        | ~ apart_point_and_line(intersection_point(X1,sK3),sK1)
        | ~ convergent_lines(X1,sK3) )
    | ~ spl4_11 ),
    inference(resolution,[],[f265,f52]) ).

fof(f265,plain,
    ( ! [X6] :
        ( apart_point_and_line(X6,sK3)
        | ~ apart_point_and_line(X6,sK1)
        | apart_point_and_line(X6,sK2) )
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f348,plain,
    ( ~ spl4_10
    | spl4_14
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f239,f193,f346,f260]) ).

fof(f260,plain,
    ( spl4_10
  <=> convergent_lines(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f193,plain,
    ( spl4_9
  <=> ! [X1] :
        ( apart_point_and_line(X1,sK2)
        | ~ distinct_points(X1,intersection_point(sK0,sK1))
        | apart_point_and_line(X1,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f239,plain,
    ( ! [X7] :
        ( apart_point_and_line(X7,sK2)
        | apart_point_and_line(X7,sK3)
        | ~ apart_point_and_line(X7,sK0)
        | ~ convergent_lines(sK0,sK1) )
    | ~ spl4_9 ),
    inference(resolution,[],[f194,f76]) ).

fof(f76,plain,
    ! [X2,X3,X4] :
      ( distinct_points(X2,intersection_point(X3,X4))
      | ~ apart_point_and_line(X2,X3)
      | ~ convergent_lines(X3,X4) ),
    inference(resolution,[],[f57,f51]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X2,X1)
        | distinct_points(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iuokF98E0W/Vampire---4.8_19448',ceq1) ).

fof(f194,plain,
    ( ! [X1] :
        ( ~ distinct_points(X1,intersection_point(sK0,sK1))
        | apart_point_and_line(X1,sK2)
        | apart_point_and_line(X1,sK3) )
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f285,plain,
    spl4_10,
    inference(avatar_contradiction_clause,[],[f282]) ).

fof(f282,plain,
    ( $false
    | spl4_10 ),
    inference(resolution,[],[f262,f41]) ).

fof(f41,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f40]) ).

fof(f262,plain,
    ( ~ convergent_lines(sK0,sK1)
    | spl4_10 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f266,plain,
    ( ~ spl4_10
    | spl4_11
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f238,f193,f264,f260]) ).

fof(f238,plain,
    ( ! [X6] :
        ( apart_point_and_line(X6,sK2)
        | apart_point_and_line(X6,sK3)
        | ~ apart_point_and_line(X6,sK1)
        | ~ convergent_lines(sK0,sK1) )
    | ~ spl4_9 ),
    inference(resolution,[],[f194,f77]) ).

fof(f77,plain,
    ! [X6,X7,X5] :
      ( distinct_points(X5,intersection_point(X6,X7))
      | ~ apart_point_and_line(X5,X7)
      | ~ convergent_lines(X6,X7) ),
    inference(resolution,[],[f57,f52]) ).

fof(f215,plain,
    spl4_8,
    inference(avatar_contradiction_clause,[],[f212]) ).

fof(f212,plain,
    ( $false
    | spl4_8 ),
    inference(resolution,[],[f199,f42]) ).

fof(f199,plain,
    ( ~ convergent_lines(sK2,sK3)
    | spl4_8 ),
    inference(resolution,[],[f191,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X1,X0) ),
    inference(resolution,[],[f55,f48]) ).

fof(f48,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.iuokF98E0W/Vampire---4.8_19448',apart3) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f29]) ).

fof(f29,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/sandbox2/tmp/tmp.iuokF98E0W/Vampire---4.8_19448',ceq3) ).

fof(f191,plain,
    ( ~ distinct_lines(sK3,sK2)
    | spl4_8 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl4_8
  <=> distinct_lines(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f195,plain,
    ( ~ spl4_8
    | spl4_9 ),
    inference(avatar_split_clause,[],[f162,f193,f189]) ).

fof(f162,plain,
    ! [X1] :
      ( apart_point_and_line(X1,sK2)
      | apart_point_and_line(X1,sK3)
      | ~ distinct_lines(sK3,sK2)
      | ~ distinct_points(X1,intersection_point(sK0,sK1)) ),
    inference(resolution,[],[f90,f44]) ).

fof(f44,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK3),
    inference(cnf_transformation,[],[f40]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( apart_point_and_line(intersection_point(sK0,sK1),X0)
      | apart_point_and_line(X1,sK2)
      | apart_point_and_line(X1,X0)
      | ~ distinct_lines(X0,sK2)
      | ~ distinct_points(X1,intersection_point(sK0,sK1)) ),
    inference(resolution,[],[f59,f43]) ).

fof(f43,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
    inference(cnf_transformation,[],[f40]) ).

fof(f59,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,[],[f38]) ).

fof(f38,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,[],[f37]) ).

fof(f37,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,[],[f18]) ).

fof(f18,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/sandbox2/tmp/tmp.iuokF98E0W/Vampire---4.8_19448',cu1) ).

fof(f128,plain,
    spl4_3,
    inference(avatar_contradiction_clause,[],[f125]) ).

fof(f125,plain,
    ( $false
    | spl4_3 ),
    inference(resolution,[],[f119,f42]) ).

fof(f119,plain,
    ( ~ convergent_lines(sK2,sK3)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f68,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f45,f65,f61]) ).

fof(f45,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
    | apart_point_and_line(intersection_point(sK2,sK3),sK0) ),
    inference(cnf_transformation,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14  % Problem    : GEO196+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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   : Wed Aug 30 18:30:24 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.18/0.41  % (19555)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.42  % (19560)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.42  % (19559)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.42  % (19557)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.42  % (19556)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.42  % (19558)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 Vampire---4 for (476ds/0Mi)
% 0.18/0.42  % (19562)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.42  TRYING [1]
% 0.18/0.42  TRYING [1]
% 0.18/0.42  TRYING [1,1]
% 0.18/0.42  TRYING [1,1]
% 0.18/0.42  TRYING [2]
% 0.18/0.42  TRYING [2,2]
% 0.18/0.42  TRYING [2,2]
% 0.18/0.42  TRYING [2]
% 0.18/0.42  TRYING [3]
% 0.18/0.42  TRYING [3]
% 0.18/0.42  TRYING [2,3]
% 0.18/0.42  TRYING [2,3]
% 0.18/0.42  % (19561)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.42  TRYING [3,3]
% 0.18/0.42  TRYING [3,3]
% 0.18/0.42  TRYING [4]
% 0.18/0.42  TRYING [4]
% 0.18/0.42  TRYING [2,4]
% 0.18/0.42  TRYING [2,4]
% 0.18/0.42  TRYING [3,4]
% 0.18/0.42  TRYING [3,4]
% 0.18/0.42  TRYING [5]
% 0.18/0.42  TRYING [5]
% 0.18/0.42  TRYING [2,5]
% 0.18/0.42  TRYING [2,5]
% 0.18/0.42  TRYING [3,5]
% 0.18/0.42  TRYING [3,5]
% 0.18/0.43  TRYING [2,6]
% 0.18/0.43  TRYING [2,6]
% 0.18/0.43  TRYING [6]
% 0.18/0.43  TRYING [4,4]
% 0.18/0.43  TRYING [4,4]
% 0.18/0.43  TRYING [6]
% 0.18/0.43  TRYING [3,6]
% 0.18/0.43  TRYING [3,6]
% 0.18/0.43  TRYING [2,7]
% 0.18/0.43  TRYING [2,7]
% 0.18/0.44  TRYING [4,5]
% 0.18/0.44  TRYING [4,5]
% 0.18/0.44  TRYING [7]
% 0.18/0.44  TRYING [3,7]
% 0.18/0.44  TRYING [3,7]
% 0.18/0.44  % (19558)First to succeed.
% 0.18/0.44  TRYING [7]
% 0.18/0.44  TRYING [2,8]
% 0.18/0.44  TRYING [2,8]
% 0.18/0.44  % (19558)Refutation found. Thanks to Tanya!
% 0.18/0.44  % SZS status Theorem for Vampire---4
% 0.18/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.44  % (19558)------------------------------
% 0.18/0.44  % (19558)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.44  % (19558)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.44  % (19558)Termination reason: Refutation
% 0.18/0.44  
% 0.18/0.44  % (19558)Memory used [KB]: 6012
% 0.18/0.44  % (19558)Time elapsed: 0.027 s
% 0.18/0.44  % (19558)------------------------------
% 0.18/0.44  % (19558)------------------------------
% 0.18/0.44  % (19555)Success in time 0.087 s
% 0.18/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------