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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO181+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 09:53:50 AM UTC 2026

% Result   : Theorem 0.39s 0.53s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   62 (  15 unt;   3 def)
%            Number of atoms       :  162 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  150 (  50   ~;  78   |;  10   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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   :   81 (   0 sgn  75   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( distinct_points(X0,X2)
        | distinct_points(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',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/Axioms/GEO008+0.ax',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/Axioms/GEO008+0.ax',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/Axioms/GEO008+0.ax',ceq2) ).

fof(f13,conjecture,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( apart_point_and_line(X2,line_connecting(X0,X1))
       => apart_point_and_line(X1,line_connecting(X0,X2)) ) ),
    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(X1,line_connecting(X0,X2)) ) ),
    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(X1,line_connecting(X0,X2))
      & apart_point_and_line(X2,line_connecting(X0,X1))
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

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

fof(f34,plain,
    ( ~ apart_point_and_line(sK1,line_connecting(sK0,sK2))
    & 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)],[f33]) ).

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

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

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

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ distinct_points(X0,X1)
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | distinct_points(X2,X0) ),
    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] :
      ( ~ apart_point_and_line(X0,X1)
      | apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f49,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f50,plain,
    apart_point_and_line(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f34]) ).

fof(f51,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK0,sK2)),
    inference(cnf_transformation,[],[f34]) ).

fof(f65,plain,
    ! [X0] :
      ( distinct_lines(line_connecting(sK0,sK1),X0)
      | apart_point_and_line(sK2,X0) ),
    inference(resolution,[],[f47,f50]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
      | distinct_points(X0,sK1) ),
    inference(resolution,[],[f41,f49]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
      | distinct_points(X0,sK0) ),
    inference(resolution,[],[f42,f49]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( ~ distinct_points(X0,X2)
      | apart_point_and_line(X2,line_connecting(sK0,sK1))
      | apart_point_and_line(X2,X1)
      | apart_point_and_line(X0,X1)
      | apart_point_and_line(X0,line_connecting(sK0,sK1))
      | apart_point_and_line(sK2,X1) ),
    inference(resolution,[],[f45,f65]) ).

fof(f90,plain,
    distinct_points(sK2,sK0),
    inference(resolution,[],[f77,f50]) ).

fof(f94,plain,
    ! [X0] :
      ( distinct_points(sK2,X0)
      | distinct_points(sK0,X0) ),
    inference(resolution,[],[f90,f38]) ).

fof(f135,plain,
    distinct_points(sK0,sK2),
    inference(resolution,[],[f94,f35]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ apart_point_and_line(X0,line_connecting(sK0,sK2))
      | distinct_points(X0,sK0) ),
    inference(resolution,[],[f135,f42]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ apart_point_and_line(X0,line_connecting(sK0,sK2))
      | distinct_points(X0,sK2) ),
    inference(resolution,[],[f135,f41]) ).

fof(f174,plain,
    ! [X0] :
      ( apart_point_and_line(sK1,line_connecting(sK0,sK1))
      | apart_point_and_line(sK1,X0)
      | apart_point_and_line(sK0,X0)
      | apart_point_and_line(sK0,line_connecting(sK0,sK1))
      | apart_point_and_line(sK2,X0) ),
    inference(resolution,[],[f86,f49]) ).

fof(f199,definition,
    ( spl3_3
  <=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).

fof(f201,plain,
    ( apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f211,definition,
    ( spl3_6
  <=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).

fof(f213,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f220,definition,
    ( spl3_8
  <=> ! [X0] :
        ( apart_point_and_line(sK1,X0)
        | apart_point_and_line(sK2,X0)
        | apart_point_and_line(sK0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).

fof(f221,plain,
    ( ! [X0] :
        ( apart_point_and_line(sK2,X0)
        | apart_point_and_line(sK1,X0)
        | apart_point_and_line(sK0,X0) )
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f222,plain,
    ( spl3_6
    | spl3_8
    | spl3_3 ),
    inference(avatar_split_clause,[],[f174,f199,f220,f211]) ).

fof(f232,plain,
    ( distinct_points(sK1,sK1)
    | ~ spl3_3 ),
    inference(resolution,[],[f201,f68]) ).

fof(f235,plain,
    ( $false
    | ~ spl3_3 ),
    inference(forward_subsumption_resolution,[],[f232,f35]) ).

fof(f236,plain,
    ~ spl3_3,
    inference(avatar_contradiction_clause,[],[f235]) ).

fof(f239,plain,
    ( distinct_points(sK0,sK0)
    | ~ spl3_6 ),
    inference(resolution,[],[f213,f77]) ).

fof(f243,plain,
    ( $false
    | ~ spl3_6 ),
    inference(forward_subsumption_resolution,[],[f239,f35]) ).

fof(f244,plain,
    ~ spl3_6,
    inference(avatar_contradiction_clause,[],[f243]) ).

fof(f519,plain,
    ( distinct_points(sK2,sK2)
    | apart_point_and_line(sK1,line_connecting(sK0,sK2))
    | apart_point_and_line(sK0,line_connecting(sK0,sK2))
    | ~ spl3_8 ),
    inference(resolution,[],[f154,f221]) ).

fof(f522,plain,
    ( apart_point_and_line(sK1,line_connecting(sK0,sK2))
    | apart_point_and_line(sK0,line_connecting(sK0,sK2))
    | ~ spl3_8 ),
    inference(forward_subsumption_resolution,[],[f519,f35]) ).

fof(f528,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK2))
    | ~ spl3_8 ),
    inference(forward_subsumption_resolution,[],[f522,f51]) ).

fof(f537,plain,
    ( distinct_points(sK0,sK0)
    | ~ spl3_8 ),
    inference(resolution,[],[f528,f153]) ).

fof(f540,plain,
    ( $false
    | ~ spl3_8 ),
    inference(forward_subsumption_resolution,[],[f537,f35]) ).

fof(f541,plain,
    ~ spl3_8,
    inference(avatar_contradiction_clause,[],[f540]) ).

cnf(s5,plain,
    ( spl3_3
    | spl3_6
    | spl3_8 ),
    inference(sat_conversion,[],[f222]) ).

cnf(s8,plain,
    ~ spl3_3,
    inference(sat_conversion,[],[f236]) ).

cnf(s9,plain,
    ~ spl3_6,
    inference(sat_conversion,[],[f244]) ).

cnf(s18,plain,
    ~ spl3_8,
    inference(sat_conversion,[],[f541]) ).

cnf(s25,plain,
    $false,
    inference(rat,[],[s5,s18,s9,s8]) ).

fof(f542,plain,
    $false,
    inference(avatar_sat_refutation,[],[s25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO181+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36  % Computer : n009.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 27 07:27:25 UTC 2026
% 0.04/0.36  % CPUTime  : 
% 0.04/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.39  Running first-order model finding
% 0.04/0.39  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.53  % (1694265)Will run a generic schedule for satisfiability detection.
% 0.39/0.53  % (1694275)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2730455479:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.39/0.53  % (1694271)% WARNING: option uhcvi not known.
% 0.39/0.53  % (1694270)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4151877966_2999 on theBenchmark for (2999ds/0Mi)
% 0.39/0.53  % (1694272)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=426789327:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.39/0.53  % (1694273)dis+10_1_sil=32000:sp=arity:random_seed=3305006033:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.39/0.53  % (1694274)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=104703984:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.39/0.53  % (1694276)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=909589577:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.39/0.53  % (1694271)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3930714653:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.39/0.53  % TRYING [1]
% 0.39/0.53  % TRYING [2]
% 0.39/0.53  % TRYING [3]
% 0.39/0.53  % TRYING [4]
% 0.39/0.53  % TRYING [5]
% 0.39/0.53  % TRYING [6]
% 0.39/0.53  % TRYING [7]
% 0.39/0.53  % TRYING [8]
% 0.39/0.53  % TRYING [9]
% 0.39/0.53  % TRYING [10]
% 0.39/0.53  % TRYING [11]
% 0.39/0.53  % TRYING [12]
% 0.39/0.53  % (1694275)Instruction limit reached! 
% 0.39/0.53  % (1694275)------------------------------
% 0.39/0.53  % (1694275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.53  % (1694275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.53  % (1694275)CaDiCaL version: 2.1.3
% 0.39/0.53  % (1694275)Termination reason: Instruction limit
% 0.39/0.53  % (1694275)Termination phase: Saturation
% 0.39/0.53  % (1694275)Time elapsed: 0.037 s
% 0.39/0.53  % (1694275)Peak memory usage: 11 MB
% 0.39/0.53  % (1694275)Instructions burned: 132 (million)
% 0.39/0.53  % TRYING [13]
% 0.39/0.53  % TRYING [14]
% 0.39/0.53  % (1694284)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1592093344:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.39/0.53  % TRYING [1]
% 0.39/0.53  % TRYING [2]
% 0.39/0.53  % TRYING [3]
% 0.39/0.53  % TRYING [4]
% 0.39/0.53  % TRYING [5]
% 0.39/0.53  % TRYING [6]
% 0.39/0.53  % TRYING [15]
% 0.39/0.53  % TRYING [7]
% 0.39/0.53  % TRYING [8]
% 0.39/0.53  % TRYING [16]
% 0.39/0.53  % (1694274)Instruction limit reached! 
% 0.39/0.53  % (1694274)------------------------------
% 0.39/0.53  % (1694274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.53  % (1694274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.53  % (1694274)CaDiCaL version: 2.1.3
% 0.39/0.53  % (1694274)Termination reason: Instruction limit
% 0.39/0.53  % (1694274)Termination phase: Saturation
% 0.39/0.53  % (1694274)Time elapsed: 0.058 s
% 0.39/0.53  % (1694274)Peak memory usage: 11 MB
% 0.39/0.53  % (1694274)Instructions burned: 117 (million)
% 0.39/0.53  % (1694273)Instruction limit reached! 
% 0.39/0.53  % (1694273)------------------------------
% 0.39/0.53  % (1694273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.53  % (1694273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.53  % (1694273)CaDiCaL version: 2.1.3
% 0.39/0.53  % (1694273)Termination reason: Instruction limit
% 0.39/0.53  % (1694273)Termination phase: Saturation
% 0.39/0.53  % (1694273)Time elapsed: 0.059 s
% 0.39/0.53  % (1694273)Peak memory usage: 11 MB
% 0.39/0.53  % (1694273)Instructions burned: 104 (million)
% 0.39/0.53  % TRYING [9]
% 0.39/0.53  % TRYING [17]
% 0.39/0.53  % TRYING [10]
% 0.39/0.53  % (1694286)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=762977885:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.39/0.53  % (1694287)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=109005656:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.39/0.53  % (1694276)Instruction limit reached! 
% 0.39/0.53  % (1694276)------------------------------
% 0.39/0.53  % (1694276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.53  % (1694276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.53  % (1694276)CaDiCaL version: 2.1.3
% 0.39/0.53  % (1694276)Termination reason: Instruction limit
% 0.39/0.53  % (1694276)Termination phase: Saturation
% 0.39/0.53  % (1694276)Time elapsed: 0.078 s
% 0.39/0.53  % (1694276)Peak memory usage: 12 MB
% 0.39/0.53  % (1694276)Instructions burned: 160 (million)
% 0.39/0.53  % TRYING [18]
% 0.39/0.53  % (1694286) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1694265-1694286"...
% 0.39/0.53  % (1694286)...printing done.
% 0.39/0.53  % TRYING [11]
% 0.39/0.53  % (1694286)Refutation found. Thanks to Tanya!
% 0.39/0.53  % SZS status Theorem for theBenchmark
% 0.39/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.53  % (1694286)------------------------------
% 0.39/0.53  % (1694286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.53  % (1694286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.53  % (1694286)CaDiCaL version: 2.1.3
% 0.39/0.53  % (1694286)Termination reason: Refutation
% 0.39/0.53  % (1694286)Time elapsed: 0.013 s
% 0.39/0.53  % (1694286)Peak memory usage: 12 MB
% 0.39/0.53  % (1694286)Instructions burned: 18 (million)
% 0.39/0.53  % (1694265)Success in time 0.126 s
% 0.39/0.53  % Vampire exiting
%------------------------------------------------------------------------------