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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR071+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 09:44:55 AM UTC 2026

% Result   : Theorem 3.76s 1.13s
% Output   : Refutation 3.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   59 (  15 unt;   4 def)
%            Number of atoms       :  119 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  108 (  48   ~;  47   |;   3   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   23 (   0 sgn  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f89,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_89) ).

fof(f897,axiom,
    ! [X0] :
      ( ( mtvisible(c_tptp_member698_mt)
        & militaryperson(X0) )
     => tptpofobject(X0,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_897) ).

fof(f1450,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1450) ).

fof(f1623,axiom,
    ! [X0] :
      ( navypersonnel(X0)
     => militaryperson(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1623) ).

fof(f1657,axiom,
    ( mtvisible(c_tptp_member1672_mt)
   => navypersonnel(c_tptpnavypersonnel_3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1657) ).

fof(f7997,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).

fof(f8006,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query171) ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f9088,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_6(n_414))
      | ~ mtvisible(c_tptp_member698_mt)
      | ~ militaryperson(X0) ),
    inference(ennf_transformation,[],[f897]) ).

fof(f9089,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_6(n_414))
      | ~ mtvisible(c_tptp_member698_mt)
      | ~ militaryperson(X0) ),
    inference(flattening,[],[f9088]) ).

fof(f9380,plain,
    ! [X0] :
      ( militaryperson(X0)
      | ~ navypersonnel(X0) ),
    inference(ennf_transformation,[],[f1623]) ).

fof(f9395,plain,
    ( navypersonnel(c_tptpnavypersonnel_3)
    | ~ mtvisible(c_tptp_member1672_mt) ),
    inference(ennf_transformation,[],[f1657]) ).

fof(f13390,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f7997]) ).

fof(f13391,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f13390]) ).

fof(f13400,plain,
    ( ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f8007]) ).

fof(f13487,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
    inference(cnf_transformation,[],[f89]) ).

fof(f14280,plain,
    ! [X0] :
      ( ~ militaryperson(X0)
      | ~ mtvisible(c_tptp_member698_mt)
      | tptpofobject(X0,f_tptpquantityfn_6(n_414)) ),
    inference(cnf_transformation,[],[f9089]) ).

fof(f14821,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
    inference(cnf_transformation,[],[f1450]) ).

fof(f14990,plain,
    ! [X0] :
      ( ~ navypersonnel(X0)
      | militaryperson(X0) ),
    inference(cnf_transformation,[],[f9380]) ).

fof(f15023,plain,
    ( ~ mtvisible(c_tptp_member1672_mt)
    | navypersonnel(c_tptpnavypersonnel_3) ),
    inference(cnf_transformation,[],[f9395]) ).

fof(f20678,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f13391]) ).

fof(f20687,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f13400]) ).

fof(f20688,plain,
    ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)),
    inference(cnf_transformation,[],[f13400]) ).

fof(f21039,plain,
    ! [X0] :
      ( ~ militaryperson(X0)
      | mtvisible(c_tptp_member698_mt)
      | tptpofobject(X0,f_tptpquantityfn_6(n_414)) ),
    inference(consistent_polarity_flipping,[],[f14280]) ).

fof(f21344,plain,
    ! [X0] :
      ( navypersonnel(X0)
      | militaryperson(X0) ),
    inference(consistent_polarity_flipping,[],[f14990]) ).

fof(f21361,plain,
    ( mtvisible(c_tptp_member1672_mt)
    | ~ navypersonnel(c_tptpnavypersonnel_3) ),
    inference(consistent_polarity_flipping,[],[f15023]) ).

fof(f25146,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X1)
      | mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f20678]) ).

fof(f25154,plain,
    ~ mtvisible(c_tptp_spindlecollectormt),
    inference(consistent_polarity_flipping,[],[f20687]) ).

fof(f26385,definition,
    ( spl0_268
  <=> mtvisible(c_tptp_member698_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).

fof(f26387,plain,
    ( mtvisible(c_tptp_member698_mt)
    | ~ spl0_268 ),
    inference(avatar_component_clause,[],[f26385]) ).

fof(f26390,definition,
    ( spl0_269
  <=> ! [X0] :
        ( ~ militaryperson(X0)
        | tptpofobject(X0,f_tptpquantityfn_6(n_414)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).

fof(f26391,plain,
    ( ! [X0] :
        ( ~ militaryperson(X0)
        | tptpofobject(X0,f_tptpquantityfn_6(n_414)) )
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f26390]) ).

fof(f27241,definition,
    ( spl0_448
  <=> navypersonnel(c_tptpnavypersonnel_3) ),
    introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).

fof(f27243,plain,
    ( ~ navypersonnel(c_tptpnavypersonnel_3)
    | spl0_448 ),
    inference(avatar_component_clause,[],[f27241]) ).

fof(f27245,definition,
    ( spl0_449
  <=> mtvisible(c_tptp_member1672_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_449])],[avatar_definition]) ).

fof(f27247,plain,
    ( mtvisible(c_tptp_member1672_mt)
    | ~ spl0_449 ),
    inference(avatar_component_clause,[],[f27245]) ).

fof(f27549,plain,
    ( ~ spl0_448
    | spl0_449 ),
    inference(avatar_split_clause,[],[f21361,f27245,f27241]) ).

fof(f28190,plain,
    ( spl0_268
    | spl0_269 ),
    inference(avatar_split_clause,[],[f21039,f26390,f26385]) ).

fof(f28944,plain,
    ( militaryperson(c_tptpnavypersonnel_3)
    | spl0_448 ),
    inference(resolution,[],[f21344,f27243]) ).

fof(f31819,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_tptp_member698_mt)
        | mtvisible(X0) )
    | ~ spl0_268 ),
    inference(resolution,[],[f25146,f26387]) ).

fof(f43991,plain,
    ( mtvisible(c_tptp_spindlecollectormt)
    | ~ spl0_268 ),
    inference(resolution,[],[f31819,f14821]) ).

fof(f43992,plain,
    ( $false
    | ~ spl0_268 ),
    inference(forward_subsumption_resolution,[],[f43991,f25154]) ).

fof(f43993,plain,
    ~ spl0_268,
    inference(avatar_contradiction_clause,[],[f43992]) ).

fof(f43997,plain,
    ( tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
    | ~ spl0_269
    | spl0_448 ),
    inference(resolution,[],[f26391,f28944]) ).

fof(f43998,plain,
    ( $false
    | ~ spl0_269
    | spl0_448 ),
    inference(forward_subsumption_resolution,[],[f43997,f20688]) ).

fof(f43999,plain,
    ( ~ spl0_269
    | spl0_448 ),
    inference(avatar_contradiction_clause,[],[f43998]) ).

fof(f44000,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_tptp_member1672_mt)
        | mtvisible(X0) )
    | ~ spl0_449 ),
    inference(resolution,[],[f27247,f25146]) ).

fof(f44100,plain,
    ( mtvisible(c_tptp_spindlecollectormt)
    | ~ spl0_449 ),
    inference(resolution,[],[f44000,f13487]) ).

fof(f44101,plain,
    ( $false
    | ~ spl0_449 ),
    inference(forward_subsumption_resolution,[],[f44100,f25154]) ).

fof(f44102,plain,
    ~ spl0_449,
    inference(avatar_contradiction_clause,[],[f44101]) ).

cnf(s440,plain,
    ( ~ spl0_448
    | spl0_449 ),
    inference(sat_conversion,[],[f27549]) ).

cnf(s564,plain,
    ( spl0_268
    | spl0_269 ),
    inference(sat_conversion,[],[f28190]) ).

cnf(s1770,plain,
    ~ spl0_268,
    inference(sat_conversion,[],[f43993]) ).

cnf(s1773,plain,
    ( ~ spl0_269
    | spl0_448 ),
    inference(sat_conversion,[],[f43999]) ).

cnf(s1800,plain,
    ~ spl0_449,
    inference(sat_conversion,[],[f44102]) ).

cnf(s1809,plain,
    spl0_269,
    inference(rat,[],[s564,s1770]) ).

cnf(s1810,plain,
    spl0_448,
    inference(rat,[],[s1773,s1809]) ).

cnf(s1812,plain,
    $false,
    inference(rat,[],[s440,s1800,s1810]) ).

fof(f44103,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1812]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR071+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.28  % Computer : n008.cluster.edu
% 0.12/0.28  % Model    : x86_64 x86_64
% 0.12/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28  % Memory   : 8046.5625MB
% 0.12/0.28  % OS       : Linux 6.8.0-71-generic
% 0.12/0.28  % CPULimit : 300
% 0.12/0.28  % WCLimit  : 300
% 0.12/0.28  % DateTime : Mon Sep 28 22:25:39 UTC 2026
% 0.12/0.28  % CPUTime  : 
% 0.12/0.28  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.34  Running first-order model finding
% 0.28/0.34  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
% 3.76/1.12  % (2730250)Will run a generic schedule for satisfiability detection.
% 3.76/1.12  % (2730256)% WARNING: option uhcvi not known.
% 3.76/1.12  % (2730256)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2620689506:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 3.76/1.12  % (2730258)dis+10_1_sil=32000:sp=arity:random_seed=631763762:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 3.76/1.12  % (2730257)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1227989427:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 3.76/1.12  % (2730255)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3814682970_2997 on theBenchmark for (2997ds/0Mi)
% 3.76/1.12  % (2730261)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4172969241:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 3.76/1.12  % (2730260)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1422416037:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 3.76/1.12  % (2730259)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3035883270:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 3.76/1.12  % (2730258)Instruction limit reached! 
% 3.76/1.12  % (2730258)------------------------------
% 3.76/1.12  % (2730258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.12  % (2730258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.12  % (2730258)CaDiCaL version: 2.1.3
% 3.76/1.12  % (2730258)Termination reason: Instruction limit
% 3.76/1.12  % (2730258)Termination phase: Saturation
% 3.76/1.12  % (2730258)Time elapsed: 0.110 s
% 3.76/1.12  % (2730258)Peak memory usage: 22 MB
% 3.76/1.12  % (2730258)Instructions burned: 103 (million)
% 3.76/1.12  % (2730259)Instruction limit reached! 
% 3.76/1.12  % (2730259)------------------------------
% 3.76/1.12  % (2730259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.12  % (2730259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.12  % (2730259)CaDiCaL version: 2.1.3
% 3.76/1.12  % (2730259)Termination reason: Instruction limit
% 3.76/1.12  % (2730259)Termination phase: Blocked clause elimination
% 3.76/1.12  % (2730259)Time elapsed: 0.132 s
% 3.76/1.12  % (2730259)Peak memory usage: 24 MB
% 3.76/1.12  % (2730259)Instructions burned: 117 (million)
% 3.76/1.12  % (2730260)Instruction limit reached! 
% 3.76/1.12  % (2730260)------------------------------
% 3.76/1.12  % (2730260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.12  % (2730260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.12  % (2730260)CaDiCaL version: 2.1.3
% 3.76/1.12  % (2730260)Termination reason: Instruction limit
% 3.76/1.12  % (2730260)Termination phase: Saturation
% 3.76/1.12  % (2730260)Time elapsed: 0.138 s
% 3.76/1.12  % (2730260)Peak memory usage: 23 MB
% 3.76/1.12  % (2730260)Instructions burned: 132 (million)
% 3.76/1.12  % (2730269)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3108118364:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 3.76/1.12  % (2730261)Instruction limit reached! 
% 3.76/1.12  % (2730261)------------------------------
% 3.76/1.12  % (2730261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.12  % (2730261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.12  % (2730261)CaDiCaL version: 2.1.3
% 3.76/1.12  % (2730261)Termination reason: Instruction limit
% 3.76/1.12  % (2730261)Termination phase: Saturation
% 3.76/1.12  % (2730261)Time elapsed: 0.163 s
% 3.76/1.12  % (2730261)Peak memory usage: 25 MB
% 3.76/1.12  % (2730261)Instructions burned: 159 (million)
% 3.76/1.12  % (2730270)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1303841981:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 3.76/1.12  % (2730271)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=2736166723:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 3.76/1.12  % (2730273)ott-21_1_sil=16000:fs=off:random_seed=2222012745:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 3.76/1.12  % (2730270)Instruction limit reached! 
% 3.76/1.12  % (2730270)------------------------------
% 3.76/1.12  % (2730270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.12  % (2730270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.13  % (2730270)CaDiCaL version: 2.1.3
% 3.76/1.13  % (2730270)Termination reason: Instruction limit
% 3.76/1.13  % (2730270)Termination phase: Blocked clause elimination
% 3.76/1.13  % (2730270)Time elapsed: 0.141 s
% 3.76/1.13  % (2730270)Peak memory usage: 23 MB
% 3.76/1.13  % (2730270)Instructions burned: 132 (million)
% 3.76/1.13  % (2730273)Instruction limit reached! 
% 3.76/1.13  % (2730273)------------------------------
% 3.76/1.13  % (2730273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.13  % (2730273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.13  % (2730273)CaDiCaL version: 2.1.3
% 3.76/1.13  % (2730273)Termination reason: Instruction limit
% 3.76/1.13  % (2730273)Termination phase: Saturation
% 3.76/1.13  % (2730273)Time elapsed: 0.178 s
% 3.76/1.13  % (2730273)Peak memory usage: 23 MB
% 3.76/1.13  % (2730273)Instructions burned: 180 (million)
% 3.76/1.13  % (2730277)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2075207346:i=477:bd=all_2993 on theBenchmark for (2993ds/477Mi)
% 3.76/1.13  % TRYING [1]
% 3.76/1.13  % (2730256) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2730250-2730256"...
% 3.76/1.13  % (2730278)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3424595711:fmbsr=1.3:i=865:ins=25_2992 on theBenchmark for (2992ds/865Mi)
% 3.76/1.13  % (2730256)...printing done.
% 3.76/1.13  % (2730256)Refutation found. Thanks to Tanya!
% 3.76/1.13  % SZS status Theorem for theBenchmark
% 3.76/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.13  % (2730256)------------------------------
% 3.76/1.13  % (2730256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.13  % (2730256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.13  % (2730256)CaDiCaL version: 2.1.3
% 3.76/1.13  % (2730256)Termination reason: Refutation
% 3.76/1.13  % (2730256)Time elapsed: 0.443 s
% 3.76/1.13  % (2730256)Peak memory usage: 37 MB
% 3.76/1.13  % (2730256)Instructions burned: 808 (million)
% 3.76/1.13  % (2730250)Success in time 0.767 s
% 3.76/1.13  % Vampire exiting
%------------------------------------------------------------------------------