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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO203+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 : n026.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 09:51:59 AM UTC 2026

% Result   : Theorem 2.55s 1.27s
% Output   : Refutation 3.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   64 (  16 unt;   5 def)
%            Number of atoms       :  195 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  203 (  72   ~; 100   |;  19   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   78 (   0 sgn  72   !;   6   ?)

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

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( apart_point_and_line(X2,line_connecting(X0,X1))
       => ( distinct_points(X2,X0)
          & distinct_points(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).

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(f13,conjecture,
    ! [X0,X1,X2] :
      ( ( convergent_lines(X0,X1)
        & convergent_lines(X0,X2)
        & distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) )
     => ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( convergent_lines(X0,X1)
          & convergent_lines(X0,X2)
          & distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) )
       => ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f15,plain,
    ? [X0,X1,X2] :
      ( distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
      & convergent_lines(X0,X1)
      & convergent_lines(X0,X2)
      & distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
      & convergent_lines(X0,X1)
      & convergent_lines(X0,X2)
      & distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ( distinct_points(X2,X0)
        & distinct_points(X2,X1) )
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f21,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(f22,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,[],[f21]) ).

fof(f23,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(f24,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,[],[f23]) ).

fof(f34,plain,
    ( distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
    & convergent_lines(sK0,sK1)
    & convergent_lines(sK0,sK2)
    & distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).

fof(f35,plain,
    distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
    inference(cnf_transformation,[],[f34]) ).

fof(f36,plain,
    convergent_lines(sK0,sK2),
    inference(cnf_transformation,[],[f34]) ).

fof(f37,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f38,plain,
    distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
    inference(cnf_transformation,[],[f34]) ).

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

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | distinct_points(X2,X0)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f42,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,[],[f22]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | ~ apart_point_and_line(X2,X0)
      | distinct_points(X2,intersection_point(X0,X1)) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f46,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ apart_point_and_line(X0,sK0)
      | distinct_points(X0,intersection_point(sK0,sK2)) ),
    inference(resolution,[],[f44,f36]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ apart_point_and_line(X0,sK0)
      | distinct_points(X0,intersection_point(sK0,sK1)) ),
    inference(resolution,[],[f44,f37]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( apart_point_and_line(X0,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
      | apart_point_and_line(X1,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
      | apart_point_and_line(X1,sK0)
      | ~ distinct_points(X0,X1)
      | apart_point_and_line(X0,sK0) ),
    inference(resolution,[],[f42,f38]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( apart_point_and_line(X0,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
      | apart_point_and_line(X0,sK0)
      | ~ distinct_points(X1,X0)
      | apart_point_and_line(X1,sK0)
      | distinct_points(X1,intersection_point(sK0,sK1))
      | ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
    inference(resolution,[],[f68,f40]) ).

fof(f78,definition,
    ( spl3_1
  <=> distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

fof(f79,plain,
    ( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
    | spl3_1 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f85,definition,
    ( spl3_3
  <=> ! [X0,X1] :
        ( apart_point_and_line(X0,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
        | distinct_points(X1,intersection_point(sK0,sK1))
        | apart_point_and_line(X1,sK0)
        | ~ distinct_points(X1,X0)
        | apart_point_and_line(X0,sK0) ) ),
    introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).

fof(f86,plain,
    ( ! [X0,X1] :
        ( apart_point_and_line(X0,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
        | distinct_points(X1,intersection_point(sK0,sK1))
        | apart_point_and_line(X1,sK0)
        | ~ distinct_points(X1,X0)
        | apart_point_and_line(X0,sK0) )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f87,plain,
    ( ~ spl3_1
    | spl3_3 ),
    inference(avatar_split_clause,[],[f75,f85,f78]) ).

fof(f88,plain,
    ( $false
    | spl3_1 ),
    inference(resolution,[],[f79,f35]) ).

fof(f90,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f106,plain,
    ( ! [X0,X1] :
        ( distinct_points(X0,intersection_point(sK0,sK1))
        | apart_point_and_line(X0,sK0)
        | ~ distinct_points(X0,X1)
        | apart_point_and_line(X1,sK0)
        | distinct_points(X1,intersection_point(sK0,sK2))
        | ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) )
    | ~ spl3_3 ),
    inference(resolution,[],[f86,f39]) ).

fof(f108,definition,
    ( spl3_7
  <=> ! [X0,X1] :
        ( distinct_points(X0,intersection_point(sK0,sK1))
        | distinct_points(X1,intersection_point(sK0,sK2))
        | apart_point_and_line(X1,sK0)
        | ~ distinct_points(X0,X1)
        | apart_point_and_line(X0,sK0) ) ),
    introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).

fof(f109,plain,
    ( ! [X0,X1] :
        ( distinct_points(X1,intersection_point(sK0,sK2))
        | distinct_points(X0,intersection_point(sK0,sK1))
        | apart_point_and_line(X1,sK0)
        | ~ distinct_points(X0,X1)
        | apart_point_and_line(X0,sK0) )
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f110,plain,
    ( ~ spl3_1
    | spl3_7
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f106,f85,f108,f78]) ).

fof(f114,plain,
    ( ! [X0] :
        ( distinct_points(X0,intersection_point(sK0,sK1))
        | apart_point_and_line(intersection_point(sK0,sK2),sK0)
        | ~ distinct_points(X0,intersection_point(sK0,sK2))
        | apart_point_and_line(X0,sK0) )
    | ~ spl3_7 ),
    inference(resolution,[],[f109,f46]) ).

fof(f116,definition,
    ( spl3_8
  <=> apart_point_and_line(intersection_point(sK0,sK2),sK0) ),
    introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).

fof(f117,plain,
    ( apart_point_and_line(intersection_point(sK0,sK2),sK0)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f119,definition,
    ( spl3_9
  <=> ! [X0] :
        ( distinct_points(X0,intersection_point(sK0,sK1))
        | apart_point_and_line(X0,sK0)
        | ~ distinct_points(X0,intersection_point(sK0,sK2)) ) ),
    introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).

fof(f120,plain,
    ( ! [X0] :
        ( apart_point_and_line(X0,sK0)
        | distinct_points(X0,intersection_point(sK0,sK1))
        | ~ distinct_points(X0,intersection_point(sK0,sK2)) )
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f121,plain,
    ( spl3_8
    | spl3_9
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f114,f108,f119,f116]) ).

fof(f123,plain,
    ( distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK2))
    | ~ spl3_8 ),
    inference(resolution,[],[f117,f64]) ).

fof(f124,plain,
    ( $false
    | ~ spl3_8 ),
    inference(resolution,[],[f123,f46]) ).

fof(f125,plain,
    ~ spl3_8,
    inference(avatar_contradiction_clause,[],[f124]) ).

fof(f126,plain,
    ( ! [X0] :
        ( distinct_points(X0,intersection_point(sK0,sK1))
        | ~ distinct_points(X0,intersection_point(sK0,sK2))
        | distinct_points(X0,intersection_point(sK0,sK1)) )
    | ~ spl3_9 ),
    inference(resolution,[],[f120,f65]) ).

fof(f128,plain,
    ( ! [X0] :
        ( ~ distinct_points(X0,intersection_point(sK0,sK2))
        | distinct_points(X0,intersection_point(sK0,sK1)) )
    | ~ spl3_9 ),
    inference(duplicate_literal_removal,[],[f126]) ).

fof(f131,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1))
    | ~ spl3_9 ),
    inference(resolution,[],[f128,f35]) ).

fof(f137,plain,
    ( $false
    | ~ spl3_9 ),
    inference(resolution,[],[f131,f46]) ).

fof(f138,plain,
    ~ spl3_9,
    inference(avatar_contradiction_clause,[],[f137]) ).

cnf(s2,plain,
    ( ~ spl3_1
    | spl3_3 ),
    inference(sat_conversion,[],[f87]) ).

cnf(s3,plain,
    spl3_1,
    inference(sat_conversion,[],[f90]) ).

cnf(s6,plain,
    ( ~ spl3_1
    | ~ spl3_3
    | spl3_7 ),
    inference(sat_conversion,[],[f110]) ).

cnf(s7,plain,
    ( ~ spl3_7
    | spl3_8
    | spl3_9 ),
    inference(sat_conversion,[],[f121]) ).

cnf(s8,plain,
    ~ spl3_8,
    inference(sat_conversion,[],[f125]) ).

cnf(s9,plain,
    ~ spl3_9,
    inference(sat_conversion,[],[f138]) ).

cnf(s10,plain,
    ~ spl3_7,
    inference(rat,[],[s7,s9,s8]) ).

cnf(s11,plain,
    ( ~ spl3_1
    | ~ spl3_3 ),
    inference(rat,[],[s6,s10]) ).

cnf(s12,plain,
    ~ spl3_3,
    inference(rat,[],[s11,s3]) ).

cnf(s13,plain,
    $false,
    inference(rat,[],[s2,s12,s3]) ).

fof(f139,plain,
    $false,
    inference(avatar_sat_refutation,[],[s13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO203+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n026.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 07:37:57 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 2.55/1.27  % (2498752)Detected formulas, will run a generic FOF schedule.
% 2.55/1.27  % (2498758)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=3247082631:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.55/1.27  % (2498761)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2671802898:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.55/1.27  % (2498763)dis-21_1_sil=8000:lcm=predicate:random_seed=3836958877: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)
% 2.55/1.27  % (2498760)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3544402197:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.55/1.27  % (2498757)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=158084608:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.55/1.27  % (2498759)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=1873147923:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.55/1.27  % (2498762)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=99466211:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.55/1.27  % (2498763)First to succeed.
% 2.55/1.27  % (2498763)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2498752"
% 2.55/1.27  % (2498762)Also succeeded, but the first one will report.
% 2.55/1.27  % (2498761)Instruction limit reached! 
% 2.55/1.27  % (2498761)------------------------------
% 2.55/1.27  % (2498761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.27  % (2498761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.27  % (2498761)CaDiCaL version: 2.1.3
% 2.55/1.27  % (2498761)Termination reason: Instruction limit
% 2.55/1.27  % (2498761)Termination phase: Saturation
% 2.55/1.27  % (2498761)Time elapsed: 0.058 s
% 2.55/1.27  % (2498761)Peak memory usage: 87 MB
% 2.55/1.27  % (2498761)Instructions burned: 119 (million)
% 2.55/1.27  % (2498760)Instruction limit reached! 
% 2.55/1.27  % (2498760)------------------------------
% 2.55/1.27  % (2498760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.27  % (2498760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.27  % (2498760)CaDiCaL version: 2.1.3
% 2.55/1.27  % (2498760)Termination reason: Instruction limit
% 2.55/1.27  % (2498760)Termination phase: Saturation
% 2.55/1.27  % (2498760)Time elapsed: 0.060 s
% 2.55/1.27  % (2498760)Peak memory usage: 88 MB
% 2.55/1.27  % (2498760)Instructions burned: 110 (million)
% 2.55/1.27  % (2498771)lrs+10_1_sil=8000:sp=occurrence:random_seed=3740645029:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.55/1.27  % (2498772)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2106488082:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.55/1.27  % (2498772)Also succeeded, but the first one will report.
% 2.55/1.27  % (2498771)Also succeeded, but the first one will report.
% 2.55/1.27  % (2498763)Refutation found. Thanks to Tanya!
% 2.55/1.27  % SZS status Theorem for theBenchmark
% 2.55/1.27  % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.36  % (2498763)------------------------------
% 3.36/1.36  % (2498763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.36  % (2498763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.36  % (2498763)CaDiCaL version: 2.1.3
% 3.36/1.36  % (2498763)Termination reason: Refutation
% 3.36/1.36  % (2498763)Time elapsed: 0.004 s
% 3.36/1.36  % (2498763)Peak memory usage: 89 MB
% 3.36/1.36  % (2498763)Instructions burned: 4 (million)
% 3.36/1.36  % (2498763)------------------------------
% 3.36/1.36  % (2498763)------------------------------
% 3.36/1.36  % (2498752)Success in time 0.405 s
% 3.36/1.36  % Vampire exiting
%------------------------------------------------------------------------------