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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : COM140+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 09:40:23 AM UTC 2026

% Result   : Theorem 10.33s 1.94s
% Output   : Refutation 10.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   79 (  27 unt;   3 def)
%            Number of atoms       :  205 (  73 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  205 (  79   ~;  87   |;  26   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-3 aty)
%            Number of variables   :  201 ( 189   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0,X1,X2,X3] :
      ( ( X0 = X3
        & X1 = vvar(X2) )
     => ( ( X2 = X3
         => visFreeVar(X0,X1) )
        & ( visFreeVar(X0,X1)
         => X2 = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).

fof(f12,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( X0 = X3
        & X1 = vapp(X2,X4) )
     => ( ( ( visFreeVar(X3,X2)
            | visFreeVar(X3,X4) )
         => visFreeVar(X0,X1) )
        & ( visFreeVar(X0,X1)
         => ( visFreeVar(X3,X2)
            | visFreeVar(X3,X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( vgensym(X1) = X0
     => ~ visFreeVar(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).

fof(f55,axiom,
    ! [X0] : valphaEquivalent(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-refl') ).

fof(f56,axiom,
    ! [X0,X1] :
      ( valphaEquivalent(X1,X0)
     => valphaEquivalent(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-sym') ).

fof(f58,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ visFreeVar(X2,X3)
     => valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-subst-abs') ).

fof(f59,axiom,
    ! [X0,X1,X2,X3] :
      ( ( vtcheck(X1,X0,X3)
        & valphaEquivalent(X0,X2) )
     => vtcheck(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-typing') ).

fof(f61,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( X0 != X3
        & vlookup(X0,X2) = vnoType
        & vtcheck(X2,vabs(X3,X4,X5),X6) )
     => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-1-gen') ).

fof(f62,conjecture,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( X0 = X3
        & vlookup(X0,X2) = vnoType
        & vtcheck(X2,vabs(X3,X4,veabs),X5) )
     => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-2') ).

fof(f63,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( X0 = X3
          & vlookup(X0,X2) = vnoType
          & vtcheck(X2,vabs(X3,X4,veabs),X5) )
       => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(negated_conjecture,[status(cth)],[f62]) ).

fof(f79,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( visFreeVar(X0,X1)
          | X2 != X3 )
        & ( X2 = X3
          | ~ visFreeVar(X0,X1) ) )
      | X0 != X3
      | vvar(X2) != X1 ),
    inference(ennf_transformation,[],[f10]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( visFreeVar(X0,X1)
          | X2 != X3 )
        & ( X2 = X3
          | ~ visFreeVar(X0,X1) ) )
      | X0 != X3
      | vvar(X2) != X1 ),
    inference(flattening,[],[f79]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( visFreeVar(X0,X1)
          | ( ~ visFreeVar(X3,X2)
            & ~ visFreeVar(X3,X4) ) )
        & ( visFreeVar(X3,X2)
          | visFreeVar(X3,X4)
          | ~ visFreeVar(X0,X1) ) )
      | X0 != X3
      | vapp(X2,X4) != X1 ),
    inference(ennf_transformation,[],[f12]) ).

fof(f84,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( visFreeVar(X0,X1)
          | ( ~ visFreeVar(X3,X2)
            & ~ visFreeVar(X3,X4) ) )
        & ( visFreeVar(X3,X2)
          | visFreeVar(X3,X4)
          | ~ visFreeVar(X0,X1) ) )
      | X0 != X3
      | vapp(X2,X4) != X1 ),
    inference(flattening,[],[f83]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ visFreeVar(X0,X1)
      | vgensym(X1) != X0 ),
    inference(ennf_transformation,[],[f28]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( valphaEquivalent(X0,X1)
      | ~ valphaEquivalent(X1,X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3] :
      ( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
      | visFreeVar(X2,X3) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(X1,X2,X3)
      | ~ vtcheck(X1,X0,X3)
      | ~ valphaEquivalent(X0,X2) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(X1,X2,X3)
      | ~ vtcheck(X1,X0,X3)
      | ~ valphaEquivalent(X0,X2) ),
    inference(flattening,[],[f152]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
      | X0 = X3
      | vnoType != vlookup(X0,X2)
      | ~ vtcheck(X2,vabs(X3,X4,X5),X6) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
      | X0 = X3
      | vnoType != vlookup(X0,X2)
      | ~ vtcheck(X2,vabs(X3,X4,X5),X6) ),
    inference(flattening,[],[f156]) ).

fof(f158,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & X0 = X3
      & vlookup(X0,X2) = vnoType
      & vtcheck(X2,vabs(X3,X4,veabs),X5) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f159,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & X0 = X3
      & vlookup(X0,X2) = vnoType
      & vtcheck(X2,vabs(X3,X4,veabs),X5) ),
    inference(flattening,[],[f158]) ).

fof(f222,plain,
    ( ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92)
    & sK87 = sK90
    & vnoType = vlookup(sK87,sK89)
    & vtcheck(sK89,vabs(sK90,sK91,veabs),sK92) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92)],[f159]) ).

fof(f239,plain,
    ! [X2,X3,X0,X1] :
      ( visFreeVar(X0,X1)
      | X2 != X3
      | X0 != X3
      | vvar(X2) != X1 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f244,plain,
    ! [X2,X3,X0,X1,X4] :
      ( visFreeVar(X0,X1)
      | ~ visFreeVar(X3,X4)
      | X0 != X3
      | vapp(X2,X4) != X1 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f245,plain,
    ! [X2,X3,X0,X1,X4] :
      ( visFreeVar(X0,X1)
      | ~ visFreeVar(X3,X2)
      | X0 != X3
      | vapp(X2,X4) != X1 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ visFreeVar(X0,X1)
      | vgensym(X1) != X0 ),
    inference(cnf_transformation,[],[f104]) ).

fof(f371,plain,
    ! [X0] : valphaEquivalent(X0,X0),
    inference(cnf_transformation,[],[f55]) ).

fof(f372,plain,
    ! [X0,X1] :
      ( ~ valphaEquivalent(X1,X0)
      | valphaEquivalent(X0,X1) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f374,plain,
    ! [X2,X3,X0,X1] :
      ( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
      | visFreeVar(X2,X3) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f375,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(X1,X0,X3)
      | vtcheck(X1,X2,X3)
      | ~ valphaEquivalent(X0,X2) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f377,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( vnoType != vlookup(X0,X2)
      | X0 = X3
      | vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
      | ~ vtcheck(X2,vabs(X3,X4,X5),X6) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f378,plain,
    vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
    inference(cnf_transformation,[],[f222]) ).

fof(f379,plain,
    vnoType = vlookup(sK87,sK89),
    inference(cnf_transformation,[],[f222]) ).

fof(f380,plain,
    sK87 = sK90,
    inference(cnf_transformation,[],[f222]) ).

fof(f381,plain,
    ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
    inference(cnf_transformation,[],[f222]) ).

fof(f382,plain,
    ~ vtcheck(vbind(sK90,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
    inference(definition_unfolding,[],[f381,f380]) ).

fof(f383,plain,
    vnoType = vlookup(sK90,sK89),
    inference(definition_unfolding,[],[f379,f380]) ).

fof(f393,plain,
    ! [X3,X0,X1] :
      ( visFreeVar(X0,X1)
      | X0 != X3
      | vvar(X3) != X1 ),
    inference(equality_resolution,[],[f239]) ).

fof(f394,plain,
    ! [X3,X1] :
      ( visFreeVar(X3,X1)
      | vvar(X3) != X1 ),
    inference(equality_resolution,[],[f393]) ).

fof(f395,plain,
    ! [X3] : visFreeVar(X3,vvar(X3)),
    inference(equality_resolution,[],[f394]) ).

fof(f405,plain,
    ! [X2,X3,X1,X4] :
      ( visFreeVar(X3,X1)
      | ~ visFreeVar(X3,X2)
      | vapp(X2,X4) != X1 ),
    inference(equality_resolution,[],[f245]) ).

fof(f406,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X2) ),
    inference(equality_resolution,[],[f405]) ).

fof(f407,plain,
    ! [X2,X3,X1,X4] :
      ( visFreeVar(X3,X1)
      | ~ visFreeVar(X3,X4)
      | vapp(X2,X4) != X1 ),
    inference(equality_resolution,[],[f244]) ).

fof(f408,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X4) ),
    inference(equality_resolution,[],[f407]) ).

fof(f433,plain,
    ! [X1] : ~ visFreeVar(vgensym(X1),X1),
    inference(equality_resolution,[],[f275]) ).

fof(f495,definition,
    sF93 = vbind(sK90,sK88,sK89),
    introduced(definition,[new_symbols(definition,[sF93])],[function_definition]) ).

fof(f496,plain,
    vbind(sK90,sK88,sK89) = sF93,
    inference(reorient_equations,[],[f495]) ).

fof(f497,definition,
    sF94 = vabs(sK90,sK91,veabs),
    introduced(definition,[new_symbols(definition,[sF94])],[function_definition]) ).

fof(f498,plain,
    vabs(sK90,sK91,veabs) = sF94,
    inference(reorient_equations,[],[f497]) ).

fof(f499,plain,
    ~ vtcheck(sF93,sF94,sK92),
    inference(definition_folding,[],[f382,f498,f496]) ).

fof(f500,definition,
    sF95 = vlookup(sK90,sK89),
    introduced(definition,[new_symbols(definition,[sF95])],[function_definition]) ).

fof(f501,plain,
    vlookup(sK90,sK89) = sF95,
    inference(reorient_equations,[],[f500]) ).

fof(f502,plain,
    vnoType = sF95,
    inference(definition_folding,[],[f383,f501]) ).

fof(f503,plain,
    vtcheck(sK89,sF94,sK92),
    inference(definition_folding,[],[f378,f498]) ).

fof(f505,plain,
    vnoType = vlookup(sK90,sK89),
    inference(forward_demodulation,[],[f501,f502]) ).

fof(f517,plain,
    ! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X0),
    inference(resolution,[],[f406,f433]) ).

fof(f519,plain,
    ! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X1),
    inference(resolution,[],[f408,f433]) ).

fof(f522,plain,
    ! [X2,X0,X1] : ~ visFreeVar(vgensym(vapp(X0,vapp(X1,X2))),X1),
    inference(resolution,[],[f519,f406]) ).

fof(f535,plain,
    ! [X2,X3,X0,X1] : ~ visFreeVar(vgensym(vapp(X0,vapp(vapp(X1,X2),X3))),X2),
    inference(resolution,[],[f522,f408]) ).

fof(f558,plain,
    ! [X0] :
      ( vtcheck(sK89,X0,sK92)
      | ~ valphaEquivalent(sF94,X0) ),
    inference(resolution,[],[f375,f503]) ).

fof(f559,plain,
    ! [X0,X1] :
      ( ~ valphaEquivalent(sF94,X0)
      | vtcheck(sK89,X1,sK92)
      | ~ valphaEquivalent(X0,X1) ),
    inference(resolution,[],[f558,f375]) ).

fof(f694,plain,
    ! [X2,X3,X0,X1] :
      ( valphaEquivalent(vabs(X0,X2,vsubst(X3,vvar(X0),X1)),vabs(X3,X2,X1))
      | visFreeVar(X0,X1) ),
    inference(resolution,[],[f374,f372]) ).

fof(f695,plain,
    ! [X0] :
      ( valphaEquivalent(sF94,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)))
      | visFreeVar(X0,veabs) ),
    inference(superposition,[],[f374,f498]) ).

fof(f957,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vnoType != vnoType
      | sK90 = X0
      | vtcheck(vbind(sK90,X1,sK89),vabs(X0,X2,X3),X4)
      | ~ vtcheck(sK89,vabs(X0,X2,X3),X4) ),
    inference(superposition,[],[f377,f505]) ).

fof(f963,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vtcheck(vbind(sK90,X1,sK89),vabs(X0,X2,X3),X4)
      | sK90 = X0
      | ~ vtcheck(sK89,vabs(X0,X2,X3),X4) ),
    inference(trivial_inequality_removal,[],[f957]) ).

fof(f1206,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(sK89,vabs(X0,X1,X2),X3)
      | sK90 = X0
      | vtcheck(sF93,vabs(X0,X1,X2),X3) ),
    inference(superposition,[],[f963,f496]) ).

fof(f1276,plain,
    ! [X0,X1] :
      ( ~ valphaEquivalent(vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)),X1)
      | vtcheck(sK89,X1,sK92)
      | visFreeVar(X0,veabs) ),
    inference(resolution,[],[f695,f559]) ).

fof(f1281,plain,
    ! [X0] :
      ( vtcheck(sK89,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)),sK92)
      | visFreeVar(X0,veabs) ),
    inference(resolution,[],[f1276,f371]) ).

fof(f1290,plain,
    ! [X0] :
      ( vtcheck(sF93,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)),sK92)
      | sK90 = X0
      | visFreeVar(X0,veabs) ),
    inference(resolution,[],[f1281,f1206]) ).

fof(f1381,plain,
    ! [X0,X1] :
      ( ~ valphaEquivalent(vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)),X1)
      | visFreeVar(X0,veabs)
      | vtcheck(sF93,X1,sK92)
      | sK90 = X0 ),
    inference(resolution,[],[f1290,f375]) ).

fof(f1620,plain,
    ! [X0] :
      ( visFreeVar(X0,veabs)
      | vtcheck(sF93,vabs(sK90,sK91,veabs),sK92)
      | sK90 = X0
      | visFreeVar(X0,veabs) ),
    inference(resolution,[],[f1381,f694]) ).

fof(f1623,plain,
    ! [X0] :
      ( visFreeVar(X0,veabs)
      | vtcheck(sF93,vabs(sK90,sK91,veabs),sK92)
      | sK90 = X0 ),
    inference(duplicate_literal_removal,[],[f1620]) ).

fof(f1624,plain,
    ! [X0] :
      ( vtcheck(sF93,sF94,sK92)
      | visFreeVar(X0,veabs)
      | sK90 = X0 ),
    inference(forward_demodulation,[],[f1623,f498]) ).

fof(f1625,plain,
    ! [X0] :
      ( visFreeVar(X0,veabs)
      | sK90 = X0 ),
    inference(forward_subsumption_resolution,[],[f1624,f499]) ).

fof(f1638,plain,
    ! [X0] : sK90 = vgensym(vapp(veabs,X0)),
    inference(resolution,[],[f1625,f517]) ).

fof(f1707,plain,
    ! [X1] : ~ visFreeVar(sK90,X1),
    inference(superposition,[],[f535,f1638]) ).

fof(f1733,plain,
    $false,
    inference(resolution,[],[f1707,f395]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM140+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.19  % Computer : n010.cluster.edu
% 0.12/0.19  % Model    : x86_64 x86_64
% 0.12/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19  % Memory   : 8046.5625MB
% 0.12/0.19  % OS       : Linux 6.8.0-71-generic
% 0.12/0.19  % CPULimit : 300
% 0.12/0.19  % WCLimit  : 300
% 0.12/0.19  % DateTime : Mon Sep 28 21:56:02 UTC 2026
% 0.12/0.20  % CPUTime  : 
% 0.12/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.24  Running first-order model finding
% 0.12/0.24  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
% 8.78/1.62  % (2402585)Will run a generic schedule for satisfiability detection.
% 8.78/1.62  % (2402594)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3203425758:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.78/1.62  % (2402591)% WARNING: option uhcvi not known.
% 8.78/1.62  % (2402590)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1290493714_2999 on theBenchmark for (2999ds/0Mi)
% 8.78/1.62  % (2402593)dis+10_1_sil=32000:sp=arity:random_seed=2069276421:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.78/1.62  % (2402591)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3648054613:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.78/1.62  % (2402592)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=284724775:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.78/1.62  % (2402595)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1230669603:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.78/1.62  % (2402596)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4099273469:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.78/1.62  % TRYING [1]
% 8.78/1.62  % (2402594)Instruction limit reached! 
% 8.78/1.62  % (2402594)------------------------------
% 8.78/1.62  % (2402594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.62  % (2402594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.62  % (2402594)CaDiCaL version: 2.1.3
% 8.78/1.62  % (2402594)Termination reason: Instruction limit
% 8.78/1.62  % (2402594)Termination phase: Saturation
% 8.78/1.62  % (2402594)Time elapsed: 0.049 s
% 8.78/1.62  % (2402594)Peak memory usage: 12 MB
% 8.78/1.62  % (2402594)Instructions burned: 118 (million)
% 8.78/1.62  % TRYING [2]
% 8.78/1.62  % (2402605)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=131819649:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.78/1.62  % TRYING [3]
% 8.78/1.62  % TRYING [1]
% 8.78/1.62  % TRYING [2]
% 8.78/1.62  % TRYING [3]
% 8.78/1.62  % (2402593)Instruction limit reached! 
% 8.78/1.62  % (2402593)------------------------------
% 8.78/1.62  % (2402593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.62  % (2402593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.62  % (2402593)CaDiCaL version: 2.1.3
% 8.78/1.62  % (2402593)Termination reason: Instruction limit
% 8.78/1.62  % (2402593)Termination phase: Saturation
% 8.78/1.62  % (2402593)Time elapsed: 0.106 s
% 8.78/1.62  % (2402593)Peak memory usage: 12 MB
% 8.78/1.62  % (2402593)Instructions burned: 104 (million)
% 8.78/1.62  % (2402595)Instruction limit reached! 
% 8.78/1.62  % (2402595)------------------------------
% 8.78/1.62  % (2402595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.62  % (2402595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.62  % (2402595)CaDiCaL version: 2.1.3
% 8.78/1.62  % (2402595)Termination reason: Instruction limit
% 8.78/1.62  % (2402595)Termination phase: Saturation
% 8.78/1.62  % (2402595)Time elapsed: 0.128 s
% 8.78/1.62  % (2402595)Peak memory usage: 13 MB
% 8.78/1.62  % (2402595)Instructions burned: 132 (million)
% 8.78/1.62  % (2402609)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2754130133:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.78/1.62  % (2402596)Instruction limit reached! 
% 8.78/1.62  % (2402596)------------------------------
% 8.78/1.62  % (2402596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.62  % (2402596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.62  % (2402596)CaDiCaL version: 2.1.3
% 8.78/1.62  % (2402596)Termination reason: Instruction limit
% 8.78/1.62  % (2402596)Termination phase: Saturation
% 8.78/1.62  % (2402596)Time elapsed: 0.135 s
% 8.78/1.62  % (2402596)Peak memory usage: 13 MB
% 8.78/1.62  % (2402596)Instructions burned: 160 (million)
% 8.78/1.62  % (2402610)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=280622075:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.78/1.62  % (2402612)ott-21_1_sil=16000:fs=off:random_seed=1367658807:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.78/1.62  % (2402609)Instruction limit reached! 
% 8.78/1.62  % (2402609)------------------------------
% 8.78/1.62  % (2402609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.62  % (2402609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402609)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402609)Termination reason: Instruction limit
% 10.33/1.94  % (2402609)Termination phase: Saturation
% 10.33/1.94  % (2402609)Time elapsed: 0.149 s
% 10.33/1.94  % (2402609)Peak memory usage: 12 MB
% 10.33/1.94  % (2402609)Instructions burned: 131 (million)
% 10.33/1.94  % (2402617)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2243263156:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 10.33/1.94  % (2402605)Instruction limit reached! 
% 10.33/1.94  % (2402605)------------------------------
% 10.33/1.94  % (2402605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402605)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402605)Termination reason: Instruction limit
% 10.33/1.94  % (2402605)Termination phase: Finite model building constraint generation
% 10.33/1.94  % (2402605)Time elapsed: 0.281 s
% 10.33/1.94  % (2402605)Peak memory usage: 42 MB
% 10.33/1.94  % (2402605)Instructions burned: 714 (million)
% 10.33/1.94  % (2402612)Instruction limit reached! 
% 10.33/1.94  % (2402612)------------------------------
% 10.33/1.94  % (2402612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402612)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402612)Termination reason: Instruction limit
% 10.33/1.94  % (2402612)Termination phase: Saturation
% 10.33/1.94  % (2402612)Time elapsed: 0.167 s
% 10.33/1.94  % (2402612)Peak memory usage: 12 MB
% 10.33/1.94  % (2402612)Instructions burned: 180 (million)
% 10.33/1.94  % (2402620)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1784255152:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 10.33/1.94  % (2402619)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2707378455:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 10.33/1.94  % TRYING [1]
% 10.33/1.94  % TRYING [2]
% 10.33/1.94  % TRYING [3]
% 10.33/1.94  % TRYING [4]
% 10.33/1.94  % (2402620)Instruction limit reached! 
% 10.33/1.94  % (2402620)------------------------------
% 10.33/1.94  % (2402620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402620)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402620)Termination reason: Instruction limit
% 10.33/1.94  % (2402620)Termination phase: Saturation
% 10.33/1.94  % (2402620)Time elapsed: 0.333 s
% 10.33/1.94  % (2402620)Peak memory usage: 12 MB
% 10.33/1.94  % (2402620)Instructions burned: 1179 (million)
% 10.33/1.94  % (2402629)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2596442799:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 10.33/1.94  % (2402610)Instruction limit reached! 
% 10.33/1.94  % (2402610)------------------------------
% 10.33/1.94  % (2402610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402610)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402610)Termination reason: Instruction limit
% 10.33/1.94  % (2402610)Termination phase: Saturation
% 10.33/1.94  % (2402610)Time elapsed: 0.571 s
% 10.33/1.94  % (2402610)Peak memory usage: 15 MB
% 10.33/1.94  % (2402610)Instructions burned: 685 (million)
% 10.33/1.94  % (2402632)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1625865583:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 10.33/1.94  % (2402617)Instruction limit reached! 
% 10.33/1.94  % (2402617)------------------------------
% 10.33/1.94  % (2402617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402617)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402617)Termination reason: Instruction limit
% 10.33/1.94  % (2402617)Termination phase: Saturation
% 10.33/1.94  % (2402617)Time elapsed: 0.459 s
% 10.33/1.94  % (2402617)Peak memory usage: 15 MB
% 10.33/1.94  % (2402617)Instructions burned: 478 (million)
% 10.33/1.94  % (2402634)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=751599208:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 10.33/1.94  % (2402619)Instruction limit reached! 
% 10.33/1.94  % (2402619)------------------------------
% 10.33/1.94  % (2402619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402619)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402619)Termination reason: Instruction limit
% 10.33/1.94  % (2402619)Termination phase: Finite model building SAT solving
% 10.33/1.94  % (2402619)Time elapsed: 0.469 s
% 10.33/1.94  % (2402619)Peak memory usage: 35 MB
% 10.33/1.94  % (2402619)Instructions burned: 866 (million)
% 10.33/1.94  % (2402641)fmb+10_1_sil=64000:random_seed=2890570166:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 10.33/1.94  % TRYING [1]
% 10.33/1.94  % TRYING [2]
% 10.33/1.94  % TRYING [3]
% 10.33/1.94  % (2402629)Instruction limit reached! 
% 10.33/1.94  % (2402629)------------------------------
% 10.33/1.94  % (2402629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402629)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402629)Termination reason: Instruction limit
% 10.33/1.94  % (2402629)Termination phase: Finite model building constraint generation
% 10.33/1.94  % (2402629)Time elapsed: 0.243 s
% 10.33/1.94  % (2402629)Peak memory usage: 106 MB
% 10.33/1.94  % (2402629)Instructions burned: 890 (million)
% 10.33/1.94  % (2402701)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1259476216:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 10.33/1.94  % (2402701)Cannot represent all propositional literals internally
% 10.33/1.94  % (2402701)Refutation not found, incomplete strategy
% 10.33/1.94  % (2402701)------------------------------
% 10.33/1.94  % (2402701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402701)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402701)Termination reason: Refutation not found, incomplete strategy
% 10.33/1.94  % (2402701)Time elapsed: 0.009 s
% 10.33/1.94  % (2402701)Peak memory usage: 11 MB
% 10.33/1.94  % (2402701)Instructions burned: 34 (million)
% 10.33/1.94  % (2402701)------------------------------
% 10.33/1.94  % (2402701)------------------------------
% 10.33/1.94  % (2402710)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2583143395:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 10.33/1.94  % TRYING [8]
% 10.33/1.94  % (2402632)Instruction limit reached! 
% 10.33/1.94  % (2402632)------------------------------
% 10.33/1.94  % (2402632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402632)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402632)Termination reason: Instruction limit
% 10.33/1.94  % (2402632)Termination phase: Saturation
% 10.33/1.94  % (2402632)Time elapsed: 0.333 s
% 10.33/1.94  % (2402632)Peak memory usage: 15 MB
% 10.33/1.94  % (2402632)Instructions burned: 692 (million)
% 10.33/1.94  % (2402747)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3650482339:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 10.33/1.94  % (2402710)Instruction limit reached! 
% 10.33/1.94  % (2402710)------------------------------
% 10.33/1.94  % (2402710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402710)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402710)Termination reason: Instruction limit
% 10.33/1.94  % (2402710)Termination phase: Finite model building constraint generation
% 10.33/1.94  % (2402710)Time elapsed: 0.173 s
% 10.33/1.94  % (2402710)Peak memory usage: 63 MB
% 10.33/1.94  % (2402710)Instructions burned: 926 (million)
% 10.33/1.94  % (2402749)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3326150059:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 10.33/1.94  % (2402634)Instruction limit reached! 
% 10.33/1.94  % (2402634)------------------------------
% 10.33/1.94  % (2402634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402634)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402634)Termination reason: Instruction limit
% 10.33/1.94  % (2402634)Termination phase: Saturation
% 10.33/1.94  % (2402634)Time elapsed: 0.495 s
% 10.33/1.94  % (2402634)Peak memory usage: 19 MB
% 10.33/1.94  % (2402634)Instructions burned: 880 (million)
% 10.33/1.94  % (2402795)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3337764081:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 10.33/1.94  % (2402795)Cannot represent all propositional literals internally
% 10.33/1.94  % (2402795)Refutation not found, incomplete strategy
% 10.33/1.94  % (2402795)------------------------------
% 10.33/1.94  % (2402795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402795)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402795)Termination reason: Refutation not found, incomplete strategy
% 10.33/1.94  % (2402795)Time elapsed: 0.019 s
% 10.33/1.94  % (2402795)Peak memory usage: 11 MB
% 10.33/1.94  % (2402795)Instructions burned: 38 (million)
% 10.33/1.94  % (2402795)------------------------------
% 10.33/1.94  % (2402795)------------------------------
% 10.33/1.94  % (2402800)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2626379249:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 10.33/1.94  % TRYING [4]
% 10.33/1.94  % (2402800)Cannot represent all propositional literals internally
% 10.33/1.94  % (2402800)Refutation not found, incomplete strategy
% 10.33/1.94  % (2402800)------------------------------
% 10.33/1.94  % (2402800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402800)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402800)Termination reason: Refutation not found, incomplete strategy
% 10.33/1.94  % (2402800)Time elapsed: 0.131 s
% 10.33/1.94  % (2402800)Peak memory usage: 13 MB
% 10.33/1.94  % (2402800)Instructions burned: 270 (million)
% 10.33/1.94  % (2402800)------------------------------
% 10.33/1.94  % (2402800)------------------------------
% 10.33/1.94  % (2402802)ott-2_1_sil=16000:newcnf=on:random_seed=4169342013:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2984 on theBenchmark for (2984ds/869Mi)
% 10.33/1.94  % (2402749)Instruction limit reached! 
% 10.33/1.94  % (2402749)------------------------------
% 10.33/1.94  % (2402749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.94  % (2402749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.94  % (2402749)CaDiCaL version: 2.1.3
% 10.33/1.94  % (2402749)Termination reason: Instruction limit
% 10.33/1.94  % (2402749)Termination phase: Saturation
% 10.33/1.94  % (2402749)Time elapsed: 0.402 s
% 10.33/1.94  % (2402749)Peak memory usage: 25 MB
% 10.33/1.94  % (2402749)Instructions burned: 1477 (million)
% 10.33/1.94  % (2402804)ott+10_1_sil=32000:tgt=ground:random_seed=335655995:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 10.33/1.94  % (2402804) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2402585-2402804"...
% 10.33/1.94  % (2402804)...printing done.
% 10.33/1.94  % (2402804)Refutation found. Thanks to Tanya!
% 10.33/1.94  % SZS status Theorem for theBenchmark
% 10.33/1.94  % SZS output start Proof for theBenchmark
% See solution above
% 10.33/1.95  % (2402804)------------------------------
% 10.33/1.95  % (2402804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.33/1.95  % (2402804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.33/1.95  % (2402804)CaDiCaL version: 2.1.3
% 10.33/1.95  % (2402804)Termination reason: Refutation
% 10.33/1.95  % (2402804)Time elapsed: 0.031 s
% 10.33/1.95  % (2402804)Peak memory usage: 13 MB
% 10.33/1.95  % (2402804)Instructions burned: 96 (million)
% 10.33/1.95  % (2402585)Success in time 1.692 s
% 10.33/1.95  % Vampire exiting
%------------------------------------------------------------------------------