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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO191+2 : 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 : n015.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 2.78s 1.29s
% Output   : Refutation 3.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   87 (  24 unt;   8 def)
%            Number of atoms       :  241 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  243 (  89   ~; 120   |;  19   &)
%                                         (   8 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   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   :   89 (   0 sgn  81   !;   8   ?)

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

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

fof(f9,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(f10,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(f12,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).

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

fof(f15,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,[],[f14]) ).

fof(f16,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,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ( ~ apart_point_and_line(X2,X0)
        & ~ apart_point_and_line(X2,X1) )
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ( ~ apart_point_and_line(X2,X0)
        & ~ apart_point_and_line(X2,X1) )
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X2)
      | apart_point_and_line(X2,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X2)
      | apart_point_and_line(X2,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f24]) ).

fof(f26,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,[],[f9]) ).

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(flattening,[],[f26]) ).

fof(f32,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)],[f16]) ).

fof(f33,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f34,plain,
    convergent_lines(sK2,sK3),
    inference(cnf_transformation,[],[f32]) ).

fof(f35,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f32]) ).

fof(f36,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK1),
    inference(cnf_transformation,[],[f32]) ).

fof(f37,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK0),
    inference(cnf_transformation,[],[f32]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ~ apart_point_and_line(X2,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ~ apart_point_and_line(X2,X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X0,X2)
      | apart_point_and_line(X2,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f45,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,[],[f27]) ).

fof(f47,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f51,definition,
    ( spl4_1
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f52,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f54,definition,
    ( spl4_2
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f55,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f56,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f33,f54,f51]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    inference(resolution,[],[f38,f47]) ).

fof(f64,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK3),
    inference(resolution,[],[f63,f34]) ).

fof(f65,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
    inference(resolution,[],[f63,f35]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    inference(resolution,[],[f39,f47]) ).

fof(f70,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_points(X0,X2)
      | apart_point_and_line(X2,X3)
      | apart_point_and_line(X2,X1)
      | apart_point_and_line(X0,X1)
      | apart_point_and_line(X0,X3)
      | ~ convergent_lines(X3,X1) ),
    inference(resolution,[],[f45,f40]) ).

fof(f71,plain,
    ~ apart_point_and_line(intersection_point(sK2,sK3),sK2),
    inference(resolution,[],[f67,f34]) ).

fof(f72,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
    inference(resolution,[],[f67,f35]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ convergent_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | apart_point_and_line(X3,X2)
      | apart_point_and_line(X3,X1)
      | apart_point_and_line(X0,X1)
      | apart_point_and_line(X0,X4)
      | ~ apart_point_and_line(X3,X4) ),
    inference(resolution,[],[f70,f44]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,X2)
      | apart_point_and_line(X1,sK1)
      | apart_point_and_line(X1,sK0)
      | apart_point_and_line(X0,sK0)
      | apart_point_and_line(X0,sK1)
      | ~ apart_point_and_line(X1,X2) ),
    inference(resolution,[],[f75,f35]) ).

fof(f146,plain,
    ! [X0] :
      ( apart_point_and_line(X0,sK1)
      | apart_point_and_line(X0,sK0)
      | apart_point_and_line(intersection_point(sK2,sK3),sK0)
      | apart_point_and_line(intersection_point(sK2,sK3),sK1)
      | ~ apart_point_and_line(X0,sK2) ),
    inference(resolution,[],[f99,f71]) ).

fof(f147,plain,
    ! [X0] :
      ( apart_point_and_line(X0,sK1)
      | apart_point_and_line(X0,sK0)
      | apart_point_and_line(intersection_point(sK2,sK3),sK0)
      | apart_point_and_line(intersection_point(sK2,sK3),sK1)
      | ~ apart_point_and_line(X0,sK3) ),
    inference(resolution,[],[f99,f64]) ).

fof(f156,definition,
    ( spl4_11
  <=> ! [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_11])],[avatar_definition]) ).

fof(f157,plain,
    ( ! [X0] :
        ( ~ apart_point_and_line(X0,sK2)
        | apart_point_and_line(X0,sK1)
        | apart_point_and_line(X0,sK0) )
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f160,definition,
    ( spl4_12
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).

fof(f161,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f163,definition,
    ( spl4_13
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK0) ),
    introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).

fof(f164,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK0)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f166,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(f167,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,[],[f166]) ).

fof(f168,plain,
    ( spl4_12
    | spl4_13
    | spl4_14 ),
    inference(avatar_split_clause,[],[f147,f166,f163,f160]) ).

fof(f169,plain,
    ( spl4_12
    | spl4_13
    | spl4_11 ),
    inference(avatar_split_clause,[],[f146,f156,f163,f160]) ).

fof(f170,plain,
    ( $false
    | ~ spl4_12 ),
    inference(resolution,[],[f161,f36]) ).

fof(f171,plain,
    ~ spl4_12,
    inference(avatar_contradiction_clause,[],[f170]) ).

fof(f172,plain,
    ( $false
    | ~ spl4_13 ),
    inference(resolution,[],[f164,f37]) ).

fof(f173,plain,
    ~ spl4_13,
    inference(avatar_contradiction_clause,[],[f172]) ).

fof(f184,definition,
    ( spl4_15
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
    introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).

fof(f185,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f187,definition,
    ( spl4_16
  <=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).

fof(f188,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f190,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ spl4_1
    | ~ spl4_14 ),
    inference(resolution,[],[f52,f167]) ).

fof(f191,plain,
    ( spl4_15
    | spl4_16
    | ~ spl4_1
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f190,f166,f51,f187,f184]) ).

fof(f192,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ spl4_2
    | ~ spl4_11 ),
    inference(resolution,[],[f55,f157]) ).

fof(f193,plain,
    ( spl4_15
    | spl4_16
    | ~ spl4_2
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f192,f156,f54,f187,f184]) ).

fof(f194,plain,
    ( $false
    | ~ spl4_15 ),
    inference(resolution,[],[f185,f72]) ).

fof(f195,plain,
    ~ spl4_15,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f196,plain,
    ( $false
    | ~ spl4_16 ),
    inference(resolution,[],[f188,f65]) ).

fof(f197,plain,
    ~ spl4_16,
    inference(avatar_contradiction_clause,[],[f196]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2 ),
    inference(sat_conversion,[],[f56]) ).

cnf(s8,plain,
    ( spl4_12
    | spl4_13
    | spl4_14 ),
    inference(sat_conversion,[],[f168]) ).

cnf(s9,plain,
    ( spl4_11
    | spl4_12
    | spl4_13 ),
    inference(sat_conversion,[],[f169]) ).

cnf(s10,plain,
    ~ spl4_12,
    inference(sat_conversion,[],[f171]) ).

cnf(s11,plain,
    ~ spl4_13,
    inference(sat_conversion,[],[f173]) ).

cnf(s13,plain,
    ( ~ spl4_1
    | ~ spl4_14
    | spl4_15
    | spl4_16 ),
    inference(sat_conversion,[],[f191]) ).

cnf(s14,plain,
    ( ~ spl4_2
    | ~ spl4_11
    | spl4_15
    | spl4_16 ),
    inference(sat_conversion,[],[f193]) ).

cnf(s15,plain,
    ~ spl4_15,
    inference(sat_conversion,[],[f195]) ).

cnf(s16,plain,
    ~ spl4_16,
    inference(sat_conversion,[],[f197]) ).

cnf(s17,plain,
    ( ~ spl4_2
    | ~ spl4_11 ),
    inference(rat,[],[s14,s16,s15]) ).

cnf(s18,plain,
    ( ~ spl4_1
    | ~ spl4_14 ),
    inference(rat,[],[s13,s16,s15]) ).

cnf(s20,plain,
    spl4_11,
    inference(rat,[],[s9,s11,s10]) ).

cnf(s21,plain,
    ~ spl4_2,
    inference(rat,[],[s17,s20]) ).

cnf(s22,plain,
    spl4_14,
    inference(rat,[],[s8,s11,s10]) ).

cnf(s23,plain,
    ~ spl4_1,
    inference(rat,[],[s18,s22]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s1,s21,s23]) ).

fof(f198,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO191+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n015.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 07:32:45 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 2.78/1.29  % (1318407)Detected formulas, will run a generic FOF schedule.
% 2.78/1.29  % (1318413)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=786392427:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.78/1.29  % (1318414)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=3000704600:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.78/1.29  % (1318412)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=2024466126:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.78/1.29  % (1318415)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=349727406:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.78/1.29  % (1318417)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1152035908:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.78/1.29  % (1318416)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=19144875:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.78/1.29  % (1318418)dis-21_1_sil=8000:lcm=predicate:random_seed=3626813826: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)
% 2.78/1.29  % (1318415)Refutation not found, incomplete strategy
% 2.78/1.29  % (1318415)------------------------------
% 2.78/1.29  % (1318415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.29  % (1318415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.29  % (1318415)CaDiCaL version: 2.1.3
% 2.78/1.29  % (1318415)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.29  % (1318415)Time elapsed: 0.001 s
% 2.78/1.29  % (1318415)Peak memory usage: 87 MB
% 2.78/1.29  % (1318418)First to succeed.
% 2.78/1.29  % (1318418)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1318407"
% 2.78/1.29  % (1318417)Also succeeded, but the first one will report.
% 2.78/1.29  % (1318416)Instruction limit reached! 
% 2.78/1.29  % (1318416)------------------------------
% 2.78/1.29  % (1318416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.29  % (1318416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.29  % (1318416)CaDiCaL version: 2.1.3
% 2.78/1.29  % (1318416)Termination reason: Instruction limit
% 2.78/1.29  % (1318416)Termination phase: Saturation
% 2.78/1.29  % (1318416)Time elapsed: 0.068 s
% 2.78/1.29  % (1318416)Peak memory usage: 87 MB
% 2.78/1.29  % (1318416)Instructions burned: 120 (million)
% 2.78/1.29  % (1318415)------------------------------
% 2.78/1.29  % (1318415)------------------------------
% 2.78/1.29  % (1318426)lrs+10_1_sil=8000:sp=occurrence:random_seed=2421029186:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.78/1.29  % (1318418)Refutation found. Thanks to Tanya!
% 2.78/1.29  % SZS status Theorem for theBenchmark
% 2.78/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.50  % (1318418)------------------------------
% 3.66/1.50  % (1318418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.50  % (1318418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.50  % (1318418)CaDiCaL version: 2.1.3
% 3.66/1.50  % (1318418)Termination reason: Refutation
% 3.66/1.50  % (1318418)Time elapsed: 0.006 s
% 3.66/1.50  % (1318418)Peak memory usage: 89 MB
% 3.66/1.50  % (1318418)Instructions burned: 6 (million)
% 3.66/1.50  % (1318418)------------------------------
% 3.66/1.50  % (1318418)------------------------------
% 3.66/1.50  % (1318407)Success in time 0.437 s
% 3.66/1.50  % Vampire exiting
%------------------------------------------------------------------------------