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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO191+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:51:54 AM UTC 2026

% Result   : Theorem 3.65s 1.30s
% Output   : Refutation 3.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   96 (  20 unt;   8 def)
%            Number of atoms       :  264 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  262 (  94   ~; 136   |;  17   &)
%                                         (   8 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   90 (   0 sgn  82   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci4) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3] :
      ( ( distinct_points(X0,X1)
        & distinct_lines(X2,X3) )
     => ( apart_point_and_line(X0,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( distinct_points(X0,X2)
        | apart_point_and_line(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).

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

fof(f15,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( convergent_lines(X0,X1)
        & convergent_lines(X2,X3)
        & ( apart_point_and_line(intersection_point(X0,X1),X2)
          | apart_point_and_line(intersection_point(X0,X1),X3) ) )
     => ( apart_point_and_line(intersection_point(X2,X3),X0)
        | apart_point_and_line(intersection_point(X2,X3),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f16,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( convergent_lines(X0,X1)
          & convergent_lines(X2,X3)
          & ( apart_point_and_line(intersection_point(X0,X1),X2)
            | apart_point_and_line(intersection_point(X0,X1),X3) ) )
       => ( apart_point_and_line(intersection_point(X2,X3),X0)
          | apart_point_and_line(intersection_point(X2,X3),X1) ) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3)
      | ~ distinct_points(X0,X1)
      | ~ distinct_lines(X2,X3) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3)
      | ~ distinct_points(X0,X1)
      | ~ distinct_lines(X2,X3) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X2)
      | apart_point_and_line(X2,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

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

fof(f33,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

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

fof(f35,plain,
    ? [X0,X1,X2,X3] :
      ( ~ apart_point_and_line(intersection_point(X2,X3),X0)
      & ~ apart_point_and_line(intersection_point(X2,X3),X1)
      & convergent_lines(X0,X1)
      & convergent_lines(X2,X3)
      & ( apart_point_and_line(intersection_point(X0,X1),X2)
        | apart_point_and_line(intersection_point(X0,X1),X3) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f36,plain,
    ? [X0,X1,X2,X3] :
      ( ~ apart_point_and_line(intersection_point(X2,X3),X0)
      & ~ apart_point_and_line(intersection_point(X2,X3),X1)
      & convergent_lines(X0,X1)
      & convergent_lines(X2,X3)
      & ( apart_point_and_line(intersection_point(X0,X1),X2)
        | apart_point_and_line(intersection_point(X0,X1),X3) ) ),
    inference(flattening,[],[f35]) ).

fof(f37,plain,
    ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
    & ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
    & convergent_lines(sK0,sK1)
    & convergent_lines(sK2,sK3)
    & ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
      | apart_point_and_line(intersection_point(sK0,sK1),sK3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f36]) ).

fof(f40,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_lines(X2,X3)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3)
      | ~ distinct_points(X0,X1)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | apart_point_and_line(X2,X1)
      | distinct_points(X0,X2) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X0,X2)
      | distinct_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f52,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f53,plain,
    convergent_lines(sK2,sK3),
    inference(cnf_transformation,[],[f37]) ).

fof(f54,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f37]) ).

fof(f55,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK1),
    inference(cnf_transformation,[],[f37]) ).

fof(f56,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK0),
    inference(cnf_transformation,[],[f37]) ).

fof(f58,definition,
    ( spl4_1
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f60,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f62,definition,
    ( spl4_2
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f64,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f65,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f52,f62,f58]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X1,X0) ),
    inference(resolution,[],[f51,f40]) ).

fof(f77,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_points(X2,X3)
      | apart_point_and_line(X2,X0)
      | apart_point_and_line(X3,X1)
      | apart_point_and_line(X3,X0)
      | ~ convergent_lines(X0,X1)
      | apart_point_and_line(X2,X1) ),
    inference(resolution,[],[f71,f48]) ).

fof(f138,definition,
    ( spl4_3
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f139,plain,
    ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f140,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f148,plain,
    ( ~ convergent_lines(sK2,sK3)
    | ~ spl4_3 ),
    inference(resolution,[],[f140,f46]) ).

fof(f151,plain,
    ( $false
    | ~ spl4_3 ),
    inference(forward_subsumption_resolution,[],[f148,f53]) ).

fof(f152,plain,
    ~ spl4_3,
    inference(avatar_contradiction_clause,[],[f151]) ).

fof(f329,definition,
    ( spl4_7
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK3) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

fof(f330,plain,
    ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | spl4_7 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f331,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f340,plain,
    ( ~ convergent_lines(sK2,sK3)
    | ~ spl4_7 ),
    inference(resolution,[],[f331,f47]) ).

fof(f343,plain,
    ( $false
    | ~ spl4_7 ),
    inference(forward_subsumption_resolution,[],[f340,f53]) ).

fof(f344,plain,
    ~ spl4_7,
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f453,plain,
    ( ! [X0] :
        ( distinct_points(intersection_point(sK0,sK1),X0)
        | apart_point_and_line(X0,sK2) )
    | ~ spl4_2 ),
    inference(resolution,[],[f64,f49]) ).

fof(f462,plain,
    ( ! [X2,X0,X1] :
        ( ~ convergent_lines(X1,X2)
        | apart_point_and_line(intersection_point(sK0,sK1),X1)
        | apart_point_and_line(X0,X2)
        | apart_point_and_line(X0,X1)
        | apart_point_and_line(X0,sK2)
        | apart_point_and_line(intersection_point(sK0,sK1),X2) )
    | ~ spl4_2 ),
    inference(resolution,[],[f453,f77]) ).

fof(f494,plain,
    ( ! [X0] :
        ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
        | apart_point_and_line(X0,sK1)
        | apart_point_and_line(X0,sK0)
        | apart_point_and_line(X0,sK2)
        | apart_point_and_line(intersection_point(sK0,sK1),sK1) )
    | ~ spl4_2 ),
    inference(resolution,[],[f462,f54]) ).

fof(f500,definition,
    ( spl4_11
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).

fof(f502,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f504,definition,
    ( spl4_12
  <=> ! [X0] :
        ( apart_point_and_line(X0,sK1)
        | apart_point_and_line(X0,sK2)
        | apart_point_and_line(X0,sK0) ) ),
    introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).

fof(f505,plain,
    ( ! [X0] :
        ( apart_point_and_line(X0,sK2)
        | apart_point_and_line(X0,sK1)
        | apart_point_and_line(X0,sK0) )
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f507,definition,
    ( spl4_13
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
    introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).

fof(f509,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( spl4_11
    | spl4_12
    | spl4_13
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f494,f62,f507,f504,f500]) ).

fof(f512,plain,
    ( ! [X0] :
        ( distinct_points(intersection_point(sK0,sK1),X0)
        | apart_point_and_line(X0,sK3) )
    | ~ spl4_1 ),
    inference(resolution,[],[f60,f49]) ).

fof(f526,plain,
    ( ! [X2,X0,X1] :
        ( ~ convergent_lines(X1,X2)
        | apart_point_and_line(intersection_point(sK0,sK1),X1)
        | apart_point_and_line(X0,X2)
        | apart_point_and_line(X0,X1)
        | apart_point_and_line(X0,sK3)
        | apart_point_and_line(intersection_point(sK0,sK1),X2) )
    | ~ spl4_1 ),
    inference(resolution,[],[f512,f77]) ).

fof(f547,plain,
    ( ! [X0] :
        ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
        | apart_point_and_line(X0,sK1)
        | apart_point_and_line(X0,sK0)
        | apart_point_and_line(X0,sK3)
        | apart_point_and_line(intersection_point(sK0,sK1),sK1) )
    | ~ spl4_1 ),
    inference(resolution,[],[f526,f54]) ).

fof(f553,definition,
    ( spl4_14
  <=> ! [X0] :
        ( apart_point_and_line(X0,sK1)
        | apart_point_and_line(X0,sK3)
        | apart_point_and_line(X0,sK0) ) ),
    introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).

fof(f554,plain,
    ( ! [X0] :
        ( apart_point_and_line(X0,sK3)
        | apart_point_and_line(X0,sK1)
        | apart_point_and_line(X0,sK0) )
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( spl4_11
    | spl4_14
    | spl4_13
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f547,f58,f507,f553,f500]) ).

fof(f556,plain,
    ( ~ convergent_lines(sK0,sK1)
    | ~ spl4_11 ),
    inference(resolution,[],[f502,f47]) ).

fof(f559,plain,
    ( $false
    | ~ spl4_11 ),
    inference(forward_subsumption_resolution,[],[f556,f54]) ).

fof(f560,plain,
    ~ spl4_11,
    inference(avatar_contradiction_clause,[],[f559]) ).

fof(f566,plain,
    ( ~ convergent_lines(sK0,sK1)
    | ~ spl4_13 ),
    inference(resolution,[],[f509,f46]) ).

fof(f569,plain,
    ( $false
    | ~ spl4_13 ),
    inference(forward_subsumption_resolution,[],[f566,f54]) ).

fof(f570,plain,
    ~ spl4_13,
    inference(avatar_contradiction_clause,[],[f569]) ).

fof(f573,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
    | apart_point_and_line(intersection_point(sK2,sK3),sK0)
    | spl4_7
    | ~ spl4_14 ),
    inference(resolution,[],[f554,f330]) ).

fof(f586,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK0)
    | spl4_7
    | ~ spl4_14 ),
    inference(forward_subsumption_resolution,[],[f573,f55]) ).

fof(f587,plain,
    ( $false
    | spl4_7
    | ~ spl4_14 ),
    inference(forward_subsumption_resolution,[],[f586,f56]) ).

fof(f588,plain,
    ( spl4_7
    | ~ spl4_14 ),
    inference(avatar_contradiction_clause,[],[f587]) ).

fof(f600,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
    | apart_point_and_line(intersection_point(sK2,sK3),sK0)
    | spl4_3
    | ~ spl4_12 ),
    inference(resolution,[],[f505,f139]) ).

fof(f605,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK0)
    | spl4_3
    | ~ spl4_12 ),
    inference(forward_subsumption_resolution,[],[f600,f55]) ).

fof(f606,plain,
    ( $false
    | spl4_3
    | ~ spl4_12 ),
    inference(forward_subsumption_resolution,[],[f605,f56]) ).

fof(f607,plain,
    ( spl4_3
    | ~ spl4_12 ),
    inference(avatar_contradiction_clause,[],[f606]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2 ),
    inference(sat_conversion,[],[f65]) ).

cnf(s3,plain,
    ~ spl4_3,
    inference(sat_conversion,[],[f152]) ).

cnf(s6,plain,
    ~ spl4_7,
    inference(sat_conversion,[],[f344]) ).

cnf(s9,plain,
    ( ~ spl4_2
    | spl4_11
    | spl4_12
    | spl4_13 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s11,plain,
    ( ~ spl4_1
    | spl4_11
    | spl4_13
    | spl4_14 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s12,plain,
    ~ spl4_11,
    inference(sat_conversion,[],[f560]) ).

cnf(s13,plain,
    ~ spl4_13,
    inference(sat_conversion,[],[f570]) ).

cnf(s15,plain,
    ( spl4_7
    | ~ spl4_14 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s17,plain,
    ( spl4_3
    | ~ spl4_12 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s18,plain,
    ( ~ spl4_1
    | spl4_14 ),
    inference(rat,[],[s11,s13,s12]) ).

cnf(s19,plain,
    ( ~ spl4_2
    | spl4_12 ),
    inference(rat,[],[s9,s13,s12]) ).

cnf(s21,plain,
    ~ spl4_14,
    inference(rat,[],[s15,s6]) ).

cnf(s22,plain,
    ~ spl4_1,
    inference(rat,[],[s18,s21]) ).

cnf(s24,plain,
    ~ spl4_12,
    inference(rat,[],[s17,s3]) ).

cnf(s25,plain,
    ~ spl4_2,
    inference(rat,[],[s19,s24]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s1,s25,s22]) ).

fof(f608,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO191+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n004.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 07:29:37 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.80/1.30  % (3172108)Detected formulas, will run a generic FOF schedule.
% 2.80/1.30  % (3172114)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1463975721:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.80/1.30  % (3172117)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1975569064:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.80/1.30  % (3172115)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2259791797:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.80/1.30  % (3172116)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3734434295:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.80/1.30  % (3172113)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=924488437:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.80/1.30  % (3172118)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4287776521:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.80/1.30  % (3172116)Refutation not found, incomplete strategy
% 2.80/1.30  % (3172116)------------------------------
% 2.80/1.30  % (3172116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.30  % (3172116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.30  % (3172116)CaDiCaL version: 2.1.3
% 2.80/1.30  % (3172116)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.30  % (3172116)Time elapsed: 0.001 s
% 2.80/1.30  % (3172116)Peak memory usage: 87 MB
% 2.80/1.30  % (3172117)Refutation not found, incomplete strategy
% 2.80/1.30  % (3172117)------------------------------
% 2.80/1.30  % (3172117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.30  % (3172117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.30  % (3172117)CaDiCaL version: 2.1.3
% 2.80/1.30  % (3172117)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.30  % (3172117)Time elapsed: 0.001 s
% 2.80/1.30  % (3172117)Peak memory usage: 87 MB
% 2.80/1.30  % (3172119)dis-21_1_sil=8000:lcm=predicate:random_seed=147086536:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.80/1.30  % (3172118)First to succeed.
% 2.80/1.30  % (3172118)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3172108"
% 2.80/1.30  % (3172119)Instruction limit reached! 
% 2.80/1.30  % (3172119)------------------------------
% 2.80/1.30  % (3172119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.30  % (3172119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.30  % (3172119)CaDiCaL version: 2.1.3
% 2.80/1.30  % (3172119)Termination reason: Instruction limit
% 2.80/1.30  % (3172119)Termination phase: Saturation
% 2.80/1.30  % (3172119)Time elapsed: 0.068 s
% 2.80/1.30  % (3172119)Peak memory usage: 89 MB
% 2.80/1.30  % (3172119)Instructions burned: 130 (million)
% 2.80/1.30  % (3172116)------------------------------
% 2.80/1.30  % (3172116)------------------------------
% 2.80/1.30  % (3172117)------------------------------
% 3.65/1.30  % (3172117)------------------------------
% 3.65/1.30  % (3172127)lrs+10_1_sil=8000:sp=occurrence:random_seed=1924015088:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.65/1.30  % (3172118)Refutation found. Thanks to Tanya!
% 3.65/1.30  % SZS status Theorem for theBenchmark
% 3.65/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.49  % (3172118)------------------------------
% 3.74/1.49  % (3172118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.49  % (3172118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.49  % (3172118)CaDiCaL version: 2.1.3
% 3.74/1.49  % (3172118)Termination reason: Refutation
% 3.74/1.49  % (3172118)Time elapsed: 0.029 s
% 3.74/1.49  % (3172118)Peak memory usage: 89 MB
% 3.74/1.49  % (3172118)Instructions burned: 46 (million)
% 3.74/1.49  % (3172118)------------------------------
% 3.74/1.49  % (3172118)------------------------------
% 3.74/1.49  % (3172108)Success in time 0.452 s
% 3.74/1.49  % Vampire exiting
%------------------------------------------------------------------------------