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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO196+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 09:53:56 AM UTC 2026

% Result   : Theorem 0.16s 1.15s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   73 (  16 unt;   5 def)
%            Number of atoms       :  189 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  193 (  77   ~;  83   |;  21   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   77 (   0 sgn  69   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',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/sandbox/benchmark/Axioms/GEO006+0.ax',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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( distinct_lines(X1,X2)
        | convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',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/sandbox/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,X1)
      | convergent_lines(X0,X2)
      | distinct_lines(X1,X2) ),
    inference(cnf_transformation,[],[f34]) ).

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

fof(f53,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
    inference(cnf_transformation,[],[f37]) ).

fof(f54,plain,
    convergent_lines(sK2,sK3),
    inference(cnf_transformation,[],[f37]) ).

fof(f55,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f37]) ).

fof(f56,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK0)
    | apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f58,definition,
    ( spl4_1
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f60,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f62,definition,
    ( spl4_2
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK0) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f64,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK0)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f65,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f56,f62,f58]) ).

fof(f76,plain,
    ! [X0] :
      ( convergent_lines(sK2,X0)
      | distinct_lines(sK3,X0) ),
    inference(resolution,[],[f51,f54]) ).

fof(f83,plain,
    distinct_lines(sK3,sK2),
    inference(resolution,[],[f76,f40]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X0,X1)
      | apart_point_and_line(X1,sK3)
      | apart_point_and_line(X1,sK2)
      | apart_point_and_line(X0,sK2)
      | apart_point_and_line(X0,sK3) ),
    inference(resolution,[],[f83,f48]) ).

fof(f668,plain,
    ( ! [X0] :
        ( apart_point_and_line(X0,sK1)
        | distinct_points(intersection_point(sK2,sK3),X0) )
    | ~ spl4_1 ),
    inference(resolution,[],[f60,f49]) ).

fof(f690,plain,
    ( ! [X0] :
        ( ~ convergent_lines(X0,sK1)
        | distinct_points(intersection_point(sK2,sK3),intersection_point(X0,sK1)) )
    | ~ spl4_1 ),
    inference(resolution,[],[f668,f47]) ).

fof(f717,plain,
    ( distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
    | ~ spl4_1 ),
    inference(resolution,[],[f690,f55]) ).

fof(f786,definition,
    ( spl4_39
  <=> distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl4_39])],[avatar_definition]) ).

fof(f788,plain,
    ( distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f795,plain,
    ( spl4_39
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f717,f58,f786]) ).

fof(f824,plain,
    ( ! [X0] :
        ( apart_point_and_line(X0,sK0)
        | distinct_points(intersection_point(sK2,sK3),X0) )
    | ~ spl4_2 ),
    inference(resolution,[],[f64,f49]) ).

fof(f835,plain,
    ( ! [X0] :
        ( ~ convergent_lines(sK0,X0)
        | distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,X0)) )
    | ~ spl4_2 ),
    inference(resolution,[],[f824,f46]) ).

fof(f848,plain,
    ( distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
    | ~ spl4_2 ),
    inference(resolution,[],[f835,f55]) ).

fof(f855,plain,
    ( spl4_39
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f848,f62,f786]) ).

fof(f3194,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
    | apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | ~ spl4_39 ),
    inference(resolution,[],[f86,f788]) ).

fof(f3204,definition,
    ( spl4_99
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK3) ),
    introduced(definition,[new_symbols(definition,[spl4_99])],[avatar_definition]) ).

fof(f3206,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | ~ spl4_99 ),
    inference(avatar_component_clause,[],[f3204]) ).

fof(f3208,definition,
    ( spl4_100
  <=> apart_point_and_line(intersection_point(sK2,sK3),sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_100])],[avatar_definition]) ).

fof(f3210,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | ~ spl4_100 ),
    inference(avatar_component_clause,[],[f3208]) ).

fof(f3283,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | ~ spl4_39 ),
    inference(forward_subsumption_resolution,[],[f3194,f52]) ).

fof(f3293,plain,
    ( apart_point_and_line(intersection_point(sK2,sK3),sK2)
    | apart_point_and_line(intersection_point(sK2,sK3),sK3)
    | ~ spl4_39 ),
    inference(forward_subsumption_resolution,[],[f3283,f53]) ).

fof(f3294,plain,
    ( spl4_99
    | spl4_100
    | ~ spl4_39 ),
    inference(avatar_split_clause,[],[f3293,f786,f3208,f3204]) ).

fof(f3303,plain,
    ( ~ convergent_lines(sK2,sK3)
    | ~ spl4_99 ),
    inference(resolution,[],[f3206,f47]) ).

fof(f3306,plain,
    ( $false
    | ~ spl4_99 ),
    inference(forward_subsumption_resolution,[],[f3303,f54]) ).

fof(f3307,plain,
    ~ spl4_99,
    inference(avatar_contradiction_clause,[],[f3306]) ).

fof(f3328,plain,
    ( ~ convergent_lines(sK2,sK3)
    | ~ spl4_100 ),
    inference(resolution,[],[f3210,f46]) ).

fof(f3331,plain,
    ( $false
    | ~ spl4_100 ),
    inference(forward_subsumption_resolution,[],[f3328,f54]) ).

fof(f3332,plain,
    ~ spl4_100,
    inference(avatar_contradiction_clause,[],[f3331]) ).

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

cnf(s39,plain,
    ( ~ spl4_1
    | spl4_39 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s48,plain,
    ( ~ spl4_2
    | spl4_39 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s155,plain,
    ( ~ spl4_39
    | spl4_99
    | spl4_100 ),
    inference(sat_conversion,[],[f3294]) ).

cnf(s164,plain,
    ~ spl4_99,
    inference(sat_conversion,[],[f3307]) ).

cnf(s165,plain,
    ~ spl4_100,
    inference(sat_conversion,[],[f3332]) ).

cnf(s166,plain,
    ~ spl4_39,
    inference(rat,[],[s155,s165,s164]) ).

cnf(s177,plain,
    ~ spl4_2,
    inference(rat,[],[s48,s166]) ).

cnf(s178,plain,
    ~ spl4_1,
    inference(rat,[],[s39,s166]) ).

cnf(s179,plain,
    $false,
    inference(rat,[],[s1,s177,s178]) ).

fof(f3333,plain,
    $false,
    inference(avatar_sat_refutation,[],[s179]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO196+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/1.01  % Computer : n004.cluster.edu
% 0.12/1.01  % Model    : x86_64 x86_64
% 0.12/1.01  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.01  % Memory   : 8046.5625MB
% 0.12/1.01  % OS       : Linux 6.8.0-71-generic
% 0.12/1.01  % CPULimit : 300
% 0.12/1.01  % WCLimit  : 300
% 0.12/1.01  % DateTime : Sun Sep 27 07:32:56 UTC 2026
% 0.12/1.01  % CPUTime  : 
% 0.12/1.01  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/1.04  Running first-order model finding
% 0.16/1.04  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/1.15  % (3174670)Will run a generic schedule for satisfiability detection.
% 0.16/1.15  % (3174679)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1597128631:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/1.15  % (3174676)% WARNING: option uhcvi not known.
% 0.16/1.15  % (3174680)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1589715936:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/1.15  % (3174675)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3708813229_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/1.15  % (3174676)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2589086850:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/1.15  % (3174677)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1784695255:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/1.15  % (3174678)dis+10_1_sil=32000:sp=arity:random_seed=3714616539:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/1.15  % (3174681)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=405659521:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/1.15  % TRYING [1]
% 0.16/1.15  % TRYING [2]
% 0.16/1.15  % TRYING [3]
% 0.16/1.15  % TRYING [4]
% 0.16/1.15  % TRYING [5]
% 0.16/1.15  % TRYING [6]
% 0.16/1.15  % TRYING [7]
% 0.16/1.15  % TRYING [8]
% 0.16/1.15  % (3174679)Instruction limit reached! 
% 0.16/1.15  % (3174679)------------------------------
% 0.16/1.15  % (3174679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.15  % (3174679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.15  % (3174679)CaDiCaL version: 2.1.3
% 0.16/1.15  % (3174679)Termination reason: Instruction limit
% 0.16/1.15  % (3174679)Termination phase: Saturation
% 0.16/1.15  % (3174679)Time elapsed: 0.032 s
% 0.16/1.15  % (3174679)Peak memory usage: 12 MB
% 0.16/1.15  % (3174679)Instructions burned: 119 (million)
% 0.16/1.15  % (3174689)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=291751874:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/1.15  % TRYING [1]
% 0.16/1.15  % TRYING [2]
% 0.16/1.15  % TRYING [3]
% 0.16/1.15  % TRYING [4]
% 0.16/1.15  % TRYING [5]
% 0.16/1.15  % TRYING [9]
% 0.16/1.15  % TRYING [6]
% 0.16/1.15  % TRYING [7]
% 0.16/1.15  % TRYING [8]
% 0.16/1.15  % (3174678)Instruction limit reached! 
% 0.16/1.15  % (3174678)------------------------------
% 0.16/1.15  % (3174678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.15  % (3174678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.15  % (3174678)CaDiCaL version: 2.1.3
% 0.16/1.15  % (3174678)Termination reason: Instruction limit
% 0.16/1.15  % (3174678)Termination phase: Saturation
% 0.16/1.15  % (3174678)Time elapsed: 0.060 s
% 0.16/1.15  % (3174678)Peak memory usage: 11 MB
% 0.16/1.15  % (3174678)Instructions burned: 104 (million)
% 0.16/1.15  % TRYING [9]
% 0.16/1.15  % TRYING [10]
% 0.16/1.15  % (3174680) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3174670-3174680"...
% 0.16/1.15  % (3174680)...printing done.
% 0.16/1.15  % (3174680)Refutation found. Thanks to Tanya!
% 0.16/1.15  % SZS status Theorem for theBenchmark
% 0.16/1.15  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.15  % (3174680)------------------------------
% 0.16/1.15  % (3174680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.15  % (3174680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.15  % (3174680)CaDiCaL version: 2.1.3
% 0.16/1.15  % (3174680)Termination reason: Refutation
% 0.16/1.15  % (3174680)Time elapsed: 0.067 s
% 0.16/1.15  % (3174680)Peak memory usage: 13 MB
% 0.16/1.15  % (3174680)Instructions burned: 115 (million)
% 0.16/1.15  % (3174670)Success in time 0.1 s
% 0.16/1.15  % Vampire exiting
%------------------------------------------------------------------------------