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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO180+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 : n009.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 09:51:49 AM UTC 2026

% Result   : Theorem 2.67s 1.27s
% Output   : Refutation 3.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   70 (  20 unt;   5 def)
%            Number of atoms       :  180 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  180 (  70   ~;  86   |;  10   &)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   92 (   0 sgn  86   !;   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(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(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)
     => ( apart_point_and_line(X2,line_connecting(X0,X1))
       => apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

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

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

fof(f16,plain,
    ? [X0,X1,X2] :
      ( ~ apart_point_and_line(X0,line_connecting(X2,X1))
      & apart_point_and_line(X2,line_connecting(X0,X1))
      & distinct_points(X0,X1) ),
    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(f19,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(f20,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X2)
      | apart_point_and_line(X2,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f19]) ).

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(f25,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(f26,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f25]) ).

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

fof(f36,plain,
    apart_point_and_line(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f34]) ).

fof(f37,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
    inference(cnf_transformation,[],[f34]) ).

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

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

fof(f40,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X0,X2)
      | apart_point_and_line(X2,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f41,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(f43,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X1,X0)
      | ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
    inference(resolution,[],[f38,f43]) ).

fof(f60,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
    inference(resolution,[],[f59,f35]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,line_connecting(X1,X0))
      | ~ apart_point_and_line(X1,X2) ),
    inference(resolution,[],[f59,f40]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X0,X1)
      | ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    inference(resolution,[],[f39,f43]) ).

fof(f67,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
    inference(resolution,[],[f64,f35]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X1,X2)
      | ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ apart_point_and_line(X0,X2) ),
    inference(resolution,[],[f64,f40]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ 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)
      | apart_point_and_line(X4,X1)
      | ~ apart_point_and_line(X4,X3) ),
    inference(resolution,[],[f41,f44]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ apart_point_and_line(sK1,line_connecting(X0,sK1))
      | ~ apart_point_and_line(X0,line_connecting(sK0,sK1)) ),
    inference(resolution,[],[f63,f60]) ).

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

fof(f139,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
    inference(resolution,[],[f97,f36]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,sK1))
      | ~ apart_point_and_line(X0,line_connecting(sK2,sK1)) ),
    inference(resolution,[],[f139,f71]) ).

fof(f258,definition,
    ( spl3_1
  <=> ! [X0] :
        ( apart_point_and_line(sK0,X0)
        | ~ apart_point_and_line(sK2,X0)
        | apart_point_and_line(sK1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ apart_point_and_line(sK2,X0)
        | apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK1,X0) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f283,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
    inference(factoring,[],[f147]) ).

fof(f294,plain,
    ! [X0] :
      ( apart_point_and_line(sK1,line_connecting(sK2,sK1))
      | apart_point_and_line(sK0,line_connecting(sK2,sK1))
      | apart_point_and_line(sK0,X0)
      | apart_point_and_line(sK1,X0)
      | ~ apart_point_and_line(sK2,X0) ),
    inference(resolution,[],[f283,f99]) ).

fof(f297,definition,
    ( spl3_4
  <=> apart_point_and_line(sK0,line_connecting(sK2,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).

fof(f298,plain,
    ( apart_point_and_line(sK0,line_connecting(sK2,sK1))
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f300,definition,
    ( spl3_5
  <=> apart_point_and_line(sK1,line_connecting(sK2,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).

fof(f301,plain,
    ( apart_point_and_line(sK1,line_connecting(sK2,sK1))
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f302,plain,
    ( spl3_1
    | spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f294,f300,f297,f258]) ).

fof(f303,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | ~ spl3_1 ),
    inference(resolution,[],[f259,f36]) ).

fof(f309,definition,
    ( spl3_6
  <=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).

fof(f310,plain,
    ( apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f312,definition,
    ( spl3_7
  <=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).

fof(f313,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f314,plain,
    ( spl3_6
    | spl3_7
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f303,f258,f312,f309]) ).

fof(f315,plain,
    ( $false
    | ~ spl3_6 ),
    inference(resolution,[],[f310,f60]) ).

fof(f318,plain,
    ~ spl3_6,
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f319,plain,
    ( $false
    | ~ spl3_7 ),
    inference(resolution,[],[f313,f67]) ).

fof(f322,plain,
    ~ spl3_7,
    inference(avatar_contradiction_clause,[],[f319]) ).

fof(f323,plain,
    ( $false
    | ~ spl3_4 ),
    inference(resolution,[],[f298,f37]) ).

fof(f327,plain,
    ~ spl3_4,
    inference(avatar_contradiction_clause,[],[f323]) ).

fof(f328,plain,
    ( $false
    | ~ spl3_5 ),
    inference(resolution,[],[f301,f139]) ).

fof(f332,plain,
    ~ spl3_5,
    inference(avatar_contradiction_clause,[],[f328]) ).

cnf(s3,plain,
    ( spl3_1
    | spl3_4
    | spl3_5 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s4,plain,
    ( ~ spl3_1
    | spl3_6
    | spl3_7 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s5,plain,
    ~ spl3_6,
    inference(sat_conversion,[],[f318]) ).

cnf(s6,plain,
    ~ spl3_7,
    inference(sat_conversion,[],[f322]) ).

cnf(s7,plain,
    ~ spl3_4,
    inference(sat_conversion,[],[f327]) ).

cnf(s8,plain,
    ~ spl3_5,
    inference(sat_conversion,[],[f332]) ).

cnf(s9,plain,
    ~ spl3_1,
    inference(rat,[],[s4,s6,s5]) ).

cnf(s10,plain,
    $false,
    inference(rat,[],[s3,s8,s7,s9]) ).

fof(f333,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO180+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n009.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 07:25:45 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 2.67/1.27  % (1692494)Detected formulas, will run a generic FOF schedule.
% 2.67/1.27  % (1692502)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3263452102:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.67/1.27  % (1692502)Instruction limit reached! 
% 2.67/1.27  % (1692502)------------------------------
% 2.67/1.27  % (1692502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.27  % (1692502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.27  % (1692502)CaDiCaL version: 2.1.3
% 2.67/1.27  % (1692502)Termination reason: Instruction limit
% 2.67/1.27  % (1692502)Termination phase: Saturation
% 2.67/1.27  % (1692502)Time elapsed: 0.029 s
% 2.67/1.27  % (1692502)Peak memory usage: 88 MB
% 2.67/1.27  % (1692502)Instructions burned: 110 (million)
% 2.67/1.27  % (1692505)dis-21_1_sil=8000:lcm=predicate:random_seed=2362499465: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)
% 2.67/1.27  % (1692500)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=2177962694:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.67/1.27  % (1692503)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3474021931:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.67/1.27  % (1692501)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=1731008366:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.67/1.27  % (1692499)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=1762892875:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.67/1.27  % (1692505)First to succeed.
% 2.67/1.27  % (1692505)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1692494"
% 2.67/1.27  % (1692504)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3749511154:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.67/1.27  % (1692504)Also succeeded, but the first one will report.
% 2.67/1.27  % (1692503)Instruction limit reached! 
% 2.67/1.27  % (1692503)------------------------------
% 2.67/1.27  % (1692503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.27  % (1692503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.27  % (1692503)CaDiCaL version: 2.1.3
% 2.67/1.27  % (1692503)Termination reason: Instruction limit
% 2.67/1.27  % (1692503)Termination phase: Saturation
% 2.67/1.27  % (1692503)Time elapsed: 0.048 s
% 2.67/1.27  % (1692503)Peak memory usage: 87 MB
% 2.67/1.27  % (1692503)Instructions burned: 121 (million)
% 2.67/1.27  % (1692507)lrs+10_1_sil=8000:sp=occurrence:random_seed=2029797119:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.67/1.27  % (1692507)Instruction limit reached! 
% 2.67/1.27  % (1692507)------------------------------
% 2.67/1.27  % (1692507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.27  % (1692507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.27  % (1692507)CaDiCaL version: 2.1.3
% 2.67/1.27  % (1692507)Termination reason: Instruction limit
% 2.67/1.27  % (1692507)Termination phase: Saturation
% 2.67/1.27  % (1692507)Time elapsed: 0.084 s
% 2.67/1.27  % (1692507)Peak memory usage: 89 MB
% 2.67/1.27  % (1692507)Instructions burned: 286 (million)
% 2.67/1.27  % (1692514)lrs+10_1_sil=32000:urr=on:br=off:random_seed=809059641:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.67/1.27  % (1692514)Also succeeded, but the first one will report.
% 2.67/1.27  % (1692516)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3426103062:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 2.67/1.27  % (1692505)Refutation found. Thanks to Tanya!
% 2.67/1.27  % SZS status Theorem for theBenchmark
% 2.67/1.27  % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.46  % (1692505)------------------------------
% 3.48/1.46  % (1692505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.46  % (1692505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.46  % (1692505)CaDiCaL version: 2.1.3
% 3.48/1.46  % (1692505)Termination reason: Refutation
% 3.48/1.46  % (1692505)Time elapsed: 0.008 s
% 3.48/1.46  % (1692505)Peak memory usage: 89 MB
% 3.48/1.46  % (1692505)Instructions burned: 10 (million)
% 3.48/1.46  % (1692505)------------------------------
% 3.48/1.46  % (1692505)------------------------------
% 3.48/1.46  % (1692494)Success in time 0.409 s
% 3.48/1.46  % Vampire exiting
%------------------------------------------------------------------------------