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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO190+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 : n011.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 09:51:53 AM UTC 2026

% Result   : Theorem 2.90s 1.33s
% Output   : Refutation 3.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   63 (  12 unt;   3 def)
%            Number of atoms       :  202 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  216 (  77   ~; 107   |;  22   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   93 (   0 sgn  87   !;   6   ?)

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

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( distinct_points(X0,X2)
        | distinct_points(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).

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

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

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

fof(f15,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X2)
      | distinct_points(X1,X2)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X2)
      | distinct_points(X1,X2)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f15]) ).

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

fof(f25,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(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(flattening,[],[f25]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

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

fof(f32,plain,
    ? [X0,X1,X2] :
      ( apart_point_and_line(X2,line_connecting(X1,X0))
      & distinct_points(X0,X1)
      & distinct_points(X0,X2)
      & distinct_points(X1,X2)
      & ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f33,plain,
    ? [X0,X1,X2] :
      ( apart_point_and_line(X2,line_connecting(X1,X0))
      & distinct_points(X0,X1)
      & distinct_points(X0,X2)
      & distinct_points(X1,X2)
      & ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ( apart_point_and_line(sK2,line_connecting(sK1,sK0))
    & distinct_points(sK0,sK1)
    & distinct_points(sK0,sK2)
    & distinct_points(sK1,sK2)
    & ~ apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f33]) ).

fof(f35,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X0,X2)
      | distinct_points(X1,X2)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,X1)
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,X0)
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

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,[],[f26]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f49,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f34]) ).

fof(f52,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f53,plain,
    apart_point_and_line(sK2,line_connecting(sK1,sK0)),
    inference(cnf_transformation,[],[f34]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
      | ~ distinct_points(X1,X0) ),
    inference(resolution,[],[f38,f35]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X1,X0))
      | ~ distinct_points(X1,X0) ),
    inference(resolution,[],[f41,f35]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(resolution,[],[f42,f35]) ).

fof(f65,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ apart_point_and_line(X4,X3)
      | apart_point_and_line(X2,X3)
      | apart_point_and_line(X2,X1)
      | ~ distinct_points(X0,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X4,X1)
      | apart_point_and_line(X0,X1) ),
    inference(resolution,[],[f45,f47]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,line_connecting(sK1,sK0))
      | apart_point_and_line(X0,X1)
      | ~ distinct_points(X2,X0)
      | apart_point_and_line(X2,line_connecting(sK1,sK0))
      | apart_point_and_line(sK2,X1)
      | apart_point_and_line(X2,X1) ),
    inference(resolution,[],[f65,f53]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( apart_point_and_line(sK1,X0)
      | ~ distinct_points(X1,sK1)
      | apart_point_and_line(X1,line_connecting(sK1,sK0))
      | apart_point_and_line(sK2,X0)
      | apart_point_and_line(X1,X0)
      | ~ distinct_points(sK1,sK0) ),
    inference(resolution,[],[f77,f61]) ).

fof(f83,definition,
    ( spl3_1
  <=> distinct_points(sK1,sK0) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

fof(f84,plain,
    ( distinct_points(sK1,sK0)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f85,plain,
    ( ~ distinct_points(sK1,sK0)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f87,definition,
    ( spl3_2
  <=> ! [X0,X1] :
        ( apart_point_and_line(sK1,X0)
        | apart_point_and_line(sK2,X0)
        | ~ distinct_points(X1,sK1)
        | apart_point_and_line(X1,X0)
        | apart_point_and_line(X1,line_connecting(sK1,sK0)) ) ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

fof(f88,plain,
    ( ! [X0,X1] :
        ( apart_point_and_line(X1,line_connecting(sK1,sK0))
        | apart_point_and_line(sK2,X0)
        | ~ distinct_points(X1,sK1)
        | apart_point_and_line(X1,X0)
        | apart_point_and_line(sK1,X0) )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f89,plain,
    ( ~ spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f80,f87,f83]) ).

fof(f97,plain,
    ( ~ distinct_points(sK0,sK1)
    | spl3_1 ),
    inference(resolution,[],[f85,f54]) ).

fof(f101,plain,
    ( $false
    | spl3_1 ),
    inference(forward_subsumption_resolution,[],[f97,f52]) ).

fof(f102,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f101]) ).

fof(f110,plain,
    ( ! [X0] :
        ( apart_point_and_line(sK2,X0)
        | ~ distinct_points(sK0,sK1)
        | apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK1,X0)
        | ~ distinct_points(sK1,sK0) )
    | ~ spl3_2 ),
    inference(resolution,[],[f88,f59]) ).

fof(f115,plain,
    ( ! [X0] :
        ( apart_point_and_line(sK2,X0)
        | apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK1,X0)
        | ~ distinct_points(sK1,sK0) )
    | ~ spl3_2 ),
    inference(forward_subsumption_resolution,[],[f110,f52]) ).

fof(f116,plain,
    ( ! [X0] :
        ( apart_point_and_line(sK1,X0)
        | apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK2,X0) )
    | ~ spl3_1
    | ~ spl3_2 ),
    inference(forward_subsumption_resolution,[],[f115,f84]) ).

fof(f130,plain,
    ( ! [X0] :
        ( ~ distinct_points(X0,sK1)
        | apart_point_and_line(sK2,line_connecting(X0,sK1))
        | apart_point_and_line(sK0,line_connecting(X0,sK1)) )
    | ~ spl3_1
    | ~ spl3_2 ),
    inference(resolution,[],[f116,f59]) ).

fof(f150,definition,
    ( spl3_5
  <=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).

fof(f151,plain,
    ( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | spl3_5 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f152,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f217,plain,
    ( ~ distinct_points(sK0,sK1)
    | ~ spl3_5 ),
    inference(resolution,[],[f152,f61]) ).

fof(f220,plain,
    ( $false
    | ~ spl3_5 ),
    inference(forward_subsumption_resolution,[],[f217,f52]) ).

fof(f221,plain,
    ~ spl3_5,
    inference(avatar_contradiction_clause,[],[f220]) ).

fof(f252,plain,
    ( apart_point_and_line(sK2,line_connecting(sK0,sK1))
    | apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_2 ),
    inference(resolution,[],[f130,f52]) ).

fof(f262,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_2 ),
    inference(forward_subsumption_resolution,[],[f252,f49]) ).

fof(f263,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_2
    | spl3_5 ),
    inference(forward_subsumption_resolution,[],[f262,f151]) ).

fof(f264,plain,
    ( ~ spl3_1
    | ~ spl3_2
    | spl3_5 ),
    inference(avatar_contradiction_clause,[],[f263]) ).

cnf(s1,plain,
    ( ~ spl3_1
    | spl3_2 ),
    inference(sat_conversion,[],[f89]) ).

cnf(s3,plain,
    spl3_1,
    inference(sat_conversion,[],[f102]) ).

cnf(s16,plain,
    ~ spl3_5,
    inference(sat_conversion,[],[f221]) ).

cnf(s17,plain,
    ( ~ spl3_1
    | ~ spl3_2
    | spl3_5 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s30,plain,
    ~ spl3_2,
    inference(rat,[],[s17,s16,s3]) ).

cnf(s32,plain,
    $false,
    inference(rat,[],[s1,s30,s3]) ).

fof(f265,plain,
    $false,
    inference(avatar_sat_refutation,[],[s32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO190+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n011.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 07:30:00 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 2.90/1.33  % (2063164)Detected formulas, will run a generic FOF schedule.
% 2.90/1.33  % (2063177)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=454077066:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.90/1.33  % (2063177)Instruction limit reached! 
% 2.90/1.33  % (2063177)------------------------------
% 2.90/1.33  % (2063177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.33  % (2063177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.33  % (2063177)CaDiCaL version: 2.1.3
% 2.90/1.33  % (2063177)Termination reason: Instruction limit
% 2.90/1.33  % (2063177)Termination phase: Saturation
% 2.90/1.33  % (2063177)Time elapsed: 0.027 s
% 2.90/1.33  % (2063177)Peak memory usage: 87 MB
% 2.90/1.33  % (2063177)Instructions burned: 124 (million)
% 2.90/1.33  % (2063176)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1268991351:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.90/1.33  % (2063173)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=666878162:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.90/1.33  % (2063174)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=700040708:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.90/1.33  % (2063175)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=3885183184:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.90/1.33  % (2063178)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=986638013:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.90/1.33  % (2063179)dis-21_1_sil=8000:lcm=predicate:random_seed=3003394227: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)
% 2.90/1.33  % (2063178)First to succeed.
% 2.90/1.33  % (2063178)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2063164"
% 2.90/1.33  % (2063176)Instruction limit reached! 
% 2.90/1.33  % (2063176)------------------------------
% 2.90/1.33  % (2063176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.33  % (2063176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.33  % (2063176)CaDiCaL version: 2.1.3
% 2.90/1.33  % (2063176)Termination reason: Instruction limit
% 2.90/1.33  % (2063176)Termination phase: Saturation
% 2.90/1.33  % (2063176)Time elapsed: 0.054 s
% 2.90/1.33  % (2063176)Peak memory usage: 88 MB
% 2.90/1.33  % (2063176)Instructions burned: 109 (million)
% 2.90/1.33  % (2063179)Instruction limit reached! 
% 2.90/1.33  % (2063179)------------------------------
% 2.90/1.33  % (2063179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.33  % (2063179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.33  % (2063179)CaDiCaL version: 2.1.3
% 2.90/1.33  % (2063179)Termination reason: Instruction limit
% 2.90/1.33  % (2063179)Termination phase: Saturation
% 2.90/1.33  % (2063179)Time elapsed: 0.054 s
% 2.90/1.33  % (2063179)Peak memory usage: 88 MB
% 2.90/1.33  % (2063179)Instructions burned: 130 (million)
% 2.90/1.33  % (2063201)lrs+10_1_sil=8000:sp=occurrence:random_seed=3296464367:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.90/1.33  % (2063201)Also succeeded, but the first one will report.
% 2.90/1.33  % (2063234)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1636928787:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.90/1.33  % (2063238)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3706338001:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 2.90/1.33  % (2063234)Also succeeded, but the first one will report.
% 2.90/1.33  % (2063238)Also succeeded, but the first one will report.
% 2.90/1.33  % (2063178)Refutation found. Thanks to Tanya!
% 2.90/1.33  % SZS status Theorem for theBenchmark
% 2.90/1.33  % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.52  % (2063178)------------------------------
% 3.68/1.52  % (2063178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.52  % (2063178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.52  % (2063178)CaDiCaL version: 2.1.3
% 3.68/1.52  % (2063178)Termination reason: Refutation
% 3.68/1.52  % (2063178)Time elapsed: 0.018 s
% 3.68/1.52  % (2063178)Peak memory usage: 89 MB
% 3.68/1.52  % (2063178)Instructions burned: 36 (million)
% 3.68/1.52  % (2063178)------------------------------
% 3.68/1.52  % (2063178)------------------------------
% 3.68/1.52  % (2063164)Success in time 0.415 s
% 3.68/1.52  % Vampire exiting
%------------------------------------------------------------------------------