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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : COM143+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 1.59s 0.56s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   87 (  22 unt;   4 def)
%            Number of atoms       :  233 ( 122 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  236 (  90   ~; 100   |;  31   &)
%                                         (   4 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-4 aty)
%            Number of functors    :   19 (  19 usr;   6 con; 0-3 aty)
%            Number of variables   :  194 (   0 sgn 152   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).

fof(f5,axiom,
    ! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).

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/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).

fof(f18,axiom,
    ! [X0] : vnoType != vsomeType(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).

fof(f24,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( X2 = X5
        & X3 = vbind(X1,X0,X6) )
     => ( X5 != X1
       => ( X4 = vlookup(X2,X3)
         => X4 = vlookup(X5,X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).

fof(f51,axiom,
    ! [X0,X1,X2] :
      ( vlookup(X1,X0) = vsomeType(X2)
     => vtcheck(X0,vvar(X1),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-var') ).

fof(f54,axiom,
    ! [X0,X1,X2] :
      ( vtcheck(X2,X0,X1)
     => ( ? [X3] :
            ( X0 = vvar(X3)
            & vlookup(X3,X2) = vsomeType(X1) )
        | ? [X3,X4,X5,X6] :
            ( X0 = vabs(X3,X5,X4)
            & X1 = varrow(X5,X6)
            & vtcheck(vbind(X3,X5,X2),X4,X6) )
        | ? [X7,X4,X8] :
            ( X0 = vapp(X7,X4)
            & vtcheck(X2,X7,varrow(X8,X1))
            & vtcheck(X2,X4,X8) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).

fof(f55,conjecture,
    ! [X0,X1,X2,X3,X4] :
      ( ( vlookup(X0,X2) = vnoType
        & vtcheck(X2,vvar(X3),X4) )
     => vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-var') ).

fof(f56,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( vlookup(X0,X2) = vnoType
          & vtcheck(X2,vvar(X3),X4) )
       => vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( vtcheck(X2,X0,X1)
     => ( ? [X3] :
            ( X0 = vvar(X3)
            & vlookup(X3,X2) = vsomeType(X1) )
        | ? [X4,X5,X6,X7] :
            ( vabs(X4,X6,X5) = X0
            & varrow(X6,X7) = X1
            & vtcheck(vbind(X4,X6,X2),X5,X7) )
        | ? [X8,X9,X10] :
            ( vapp(X8,X9) = X0
            & vtcheck(X2,X8,varrow(X10,X1))
            & vtcheck(X2,X9,X10) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f69,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(f70,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( visFreeVar(X0,X1)
          | X2 != X3 )
        & ( X2 = X3
          | ~ visFreeVar(X0,X1) ) )
      | X0 != X3
      | vvar(X2) != X1 ),
    inference(flattening,[],[f69]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( X4 = vlookup(X5,X6)
      | vlookup(X2,X3) != X4
      | X1 = X5
      | X2 != X5
      | vbind(X1,X0,X6) != X3 ),
    inference(ennf_transformation,[],[f24]) ).

fof(f89,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( X4 = vlookup(X5,X6)
      | vlookup(X2,X3) != X4
      | X1 = X5
      | X2 != X5
      | vbind(X1,X0,X6) != X3 ),
    inference(flattening,[],[f88]) ).

fof(f135,plain,
    ! [X0,X1,X2] :
      ( vtcheck(X0,vvar(X1),X2)
      | vsomeType(X2) != vlookup(X1,X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( X0 = vvar(X3)
          & vlookup(X3,X2) = vsomeType(X1) )
      | ? [X4,X5,X6,X7] :
          ( vabs(X4,X6,X5) = X0
          & varrow(X6,X7) = X1
          & vtcheck(vbind(X4,X6,X2),X5,X7) )
      | ? [X8,X9,X10] :
          ( vapp(X8,X9) = X0
          & vtcheck(X2,X8,varrow(X10,X1))
          & vtcheck(X2,X9,X10) )
      | ~ vtcheck(X2,X0,X1) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( X0 = vvar(X3)
          & vlookup(X3,X2) = vsomeType(X1) )
      | ? [X4,X5,X6,X7] :
          ( vabs(X4,X6,X5) = X0
          & varrow(X6,X7) = X1
          & vtcheck(vbind(X4,X6,X2),X5,X7) )
      | ? [X8,X9,X10] :
          ( vapp(X8,X9) = X0
          & vtcheck(X2,X8,varrow(X10,X1))
          & vtcheck(X2,X9,X10) )
      | ~ vtcheck(X2,X0,X1) ),
    inference(flattening,[],[f139]) ).

fof(f141,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
      & vlookup(X0,X2) = vnoType
      & vtcheck(X2,vvar(X3),X4) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f142,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
      & vlookup(X0,X2) = vnoType
      & vtcheck(X2,vvar(X3),X4) ),
    inference(flattening,[],[f141]) ).

fof(f152,plain,
    ! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
    inference(cnf_transformation,[],[f4]) ).

fof(f153,plain,
    ! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ! [X2,X3,X0,X1] :
      ( vvar(X2) != X1
      | X0 != X3
      | X2 != X3
      | visFreeVar(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f159,plain,
    ! [X2,X3,X0,X1] :
      ( vvar(X2) != X1
      | X0 != X3
      | ~ visFreeVar(X0,X1)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f175,plain,
    ! [X0] : vnoType != vsomeType(X0),
    inference(cnf_transformation,[],[f18]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( vbind(X1,X0,X6) != X3
      | X2 != X5
      | X1 = X5
      | vlookup(X2,X3) != X4
      | vlookup(X5,X6) = X4 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f331,plain,
    ! [X2,X0,X1] :
      ( vsomeType(X2) != vlookup(X1,X0)
      | vtcheck(X0,vvar(X1),X2) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f334,plain,
    ! [X2,X3,X0,X1] :
      ( vsomeType(X1) = vlookup(X3,X2)
      | ~ sP84(X3,X2,X1,X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f335,plain,
    ! [X2,X3,X0,X1] :
      ( vvar(X3) = X0
      | ~ sP84(X3,X2,X1,X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X0,X1)
      | vapp(sK76(X0,X1,X2),sK77(X0,X1,X2)) = X0
      | vabs(sK79(X0,X1,X2),sK81(X0,X1,X2),sK80(X0,X1,X2)) = X0
      | sP84(sK83(X0,X1,X2),X2,X1,X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f345,plain,
    vtcheck(sK87,vvar(sK88),sK89),
    inference(cnf_transformation,[],[f142]) ).

fof(f346,plain,
    vnoType = vlookup(sK85,sK87),
    inference(cnf_transformation,[],[f142]) ).

fof(f347,plain,
    ~ vtcheck(vbind(sK85,sK86,sK87),vvar(sK88),sK89),
    inference(cnf_transformation,[],[f142]) ).

fof(f357,plain,
    ! [X2,X3,X0] :
      ( X0 != X3
      | ~ visFreeVar(X0,vvar(X2))
      | X2 = X3 ),
    inference(equality_resolution,[],[f159]) ).

fof(f358,plain,
    ! [X2,X3] :
      ( ~ visFreeVar(X3,vvar(X2))
      | X2 = X3 ),
    inference(equality_resolution,[],[f357]) ).

fof(f359,plain,
    ! [X2,X3,X0] :
      ( X0 != X3
      | X2 != X3
      | visFreeVar(X0,vvar(X2)) ),
    inference(equality_resolution,[],[f158]) ).

fof(f360,plain,
    ! [X2,X3] :
      ( X2 != X3
      | visFreeVar(X3,vvar(X2)) ),
    inference(equality_resolution,[],[f359]) ).

fof(f361,plain,
    ! [X3] : visFreeVar(X3,vvar(X3)),
    inference(equality_resolution,[],[f360]) ).

fof(f390,plain,
    ! [X2,X0,X1,X6,X4,X5] :
      ( X2 != X5
      | X1 = X5
      | vlookup(X2,vbind(X1,X0,X6)) != X4
      | vlookup(X5,X6) = X4 ),
    inference(equality_resolution,[],[f181]) ).

fof(f391,plain,
    ! [X0,X1,X6,X4,X5] :
      ( X1 = X5
      | vlookup(X5,vbind(X1,X0,X6)) != X4
      | vlookup(X5,X6) = X4 ),
    inference(equality_resolution,[],[f390]) ).

fof(f392,plain,
    ! [X0,X1,X6,X5] :
      ( vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6))
      | X1 = X5 ),
    inference(equality_resolution,[],[f391]) ).

fof(f532,plain,
    ! [X2,X3] :
      ( visFreeVar(X3,vvar(X2))
      | X2 = X3 ),
    inference(consistent_polarity_flipping,[],[f358]) ).

fof(f533,plain,
    ! [X3] : ~ visFreeVar(X3,vvar(X3)),
    inference(consistent_polarity_flipping,[],[f361]) ).

fof(f630,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X0,vvar(X1),X2)
      | vsomeType(X2) != vlookup(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f331]) ).

fof(f639,plain,
    ! [X2,X0,X1] :
      ( ~ sP84(sK83(X0,X1,X2),X2,X1,X0)
      | vapp(sK76(X0,X1,X2),sK77(X0,X1,X2)) = X0
      | vabs(sK79(X0,X1,X2),sK81(X0,X1,X2),sK80(X0,X1,X2)) = X0
      | vtcheck(X2,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f338]) ).

fof(f642,plain,
    ! [X2,X3,X0,X1] :
      ( sP84(X3,X2,X1,X0)
      | vvar(X3) = X0 ),
    inference(consistent_polarity_flipping,[],[f335]) ).

fof(f643,plain,
    ! [X2,X3,X0,X1] :
      ( sP84(X3,X2,X1,X0)
      | vsomeType(X1) = vlookup(X3,X2) ),
    inference(consistent_polarity_flipping,[],[f334]) ).

fof(f644,plain,
    vtcheck(vbind(sK85,sK86,sK87),vvar(sK88),sK89),
    inference(consistent_polarity_flipping,[],[f347]) ).

fof(f645,plain,
    ~ vtcheck(sK87,vvar(sK88),sK89),
    inference(consistent_polarity_flipping,[],[f345]) ).

fof(f666,plain,
    vsomeType(sK89) != vlookup(sK88,vbind(sK85,sK86,sK87)),
    inference(resolution,[],[f630,f644]) ).

fof(f698,plain,
    ( vsomeType(sK89) != vlookup(sK88,sK87)
    | sK85 = sK88 ),
    inference(superposition,[],[f666,f392]) ).

fof(f700,definition,
    ( spl90_1
  <=> sK85 = sK88 ),
    introduced(definition,[new_symbols(definition,[spl90_1])],[avatar_definition]) ).

fof(f702,plain,
    ( sK85 = sK88
    | ~ spl90_1 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f704,definition,
    ( spl90_2
  <=> vsomeType(sK89) = vlookup(sK88,sK87) ),
    introduced(definition,[new_symbols(definition,[spl90_2])],[avatar_definition]) ).

fof(f705,plain,
    ( vsomeType(sK89) = vlookup(sK88,sK87)
    | ~ spl90_2 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f707,plain,
    ( spl90_1
    | ~ spl90_2 ),
    inference(avatar_split_clause,[],[f698,f704,f700]) ).

fof(f885,plain,
    ! [X2,X0,X1] :
      ( vtcheck(X2,X0,X1)
      | vabs(sK79(X0,X1,X2),sK81(X0,X1,X2),sK80(X0,X1,X2)) = X0
      | vapp(sK76(X0,X1,X2),sK77(X0,X1,X2)) = X0
      | vvar(sK83(X0,X1,X2)) = X0 ),
    inference(resolution,[],[f639,f642]) ).

fof(f3352,plain,
    ( vvar(sK88) = vabs(sK79(vvar(sK88),sK89,sK87),sK81(vvar(sK88),sK89,sK87),sK80(vvar(sK88),sK89,sK87))
    | vvar(sK88) = vapp(sK76(vvar(sK88),sK89,sK87),sK77(vvar(sK88),sK89,sK87))
    | vvar(sK88) = vvar(sK83(vvar(sK88),sK89,sK87)) ),
    inference(resolution,[],[f885,f645]) ).

fof(f3372,plain,
    ( vvar(sK88) = vapp(sK76(vvar(sK88),sK89,sK87),sK77(vvar(sK88),sK89,sK87))
    | vvar(sK88) = vvar(sK83(vvar(sK88),sK89,sK87)) ),
    inference(forward_subsumption_resolution,[],[f3352,f152]) ).

fof(f3379,plain,
    vvar(sK88) = vvar(sK83(vvar(sK88),sK89,sK87)),
    inference(forward_subsumption_resolution,[],[f3372,f153]) ).

fof(f3736,definition,
    ( spl90_32
  <=> vvar(sK88) = vvar(sK83(vvar(sK88),sK89,sK87)) ),
    introduced(definition,[new_symbols(definition,[spl90_32])],[avatar_definition]) ).

fof(f3738,plain,
    ( vvar(sK88) = vvar(sK83(vvar(sK88),sK89,sK87))
    | ~ spl90_32 ),
    inference(avatar_component_clause,[],[f3736]) ).

fof(f3749,plain,
    spl90_32,
    inference(avatar_split_clause,[],[f3379,f3736]) ).

fof(f4326,plain,
    ( ~ visFreeVar(sK83(vvar(sK88),sK89,sK87),vvar(sK88))
    | ~ spl90_32 ),
    inference(superposition,[],[f533,f3738]) ).

fof(f4338,plain,
    ( sK88 = sK83(vvar(sK88),sK89,sK87)
    | ~ spl90_32 ),
    inference(resolution,[],[f4326,f532]) ).

fof(f4465,plain,
    ( ~ sP84(sK88,sK87,sK89,vvar(sK88))
    | vvar(sK88) = vapp(sK76(vvar(sK88),sK89,sK87),sK77(vvar(sK88),sK89,sK87))
    | vvar(sK88) = vabs(sK79(vvar(sK88),sK89,sK87),sK81(vvar(sK88),sK89,sK87),sK80(vvar(sK88),sK89,sK87))
    | vtcheck(sK87,vvar(sK88),sK89)
    | ~ spl90_32 ),
    inference(superposition,[],[f639,f4338]) ).

fof(f4468,plain,
    ( ~ sP84(sK88,sK87,sK89,vvar(sK88))
    | vvar(sK88) = vabs(sK79(vvar(sK88),sK89,sK87),sK81(vvar(sK88),sK89,sK87),sK80(vvar(sK88),sK89,sK87))
    | vtcheck(sK87,vvar(sK88),sK89)
    | ~ spl90_32 ),
    inference(forward_subsumption_resolution,[],[f4465,f153]) ).

fof(f4470,plain,
    ( ~ sP84(sK88,sK87,sK89,vvar(sK88))
    | vtcheck(sK87,vvar(sK88),sK89)
    | ~ spl90_32 ),
    inference(forward_subsumption_resolution,[],[f4468,f152]) ).

fof(f4472,definition,
    ( spl90_43
  <=> sP84(sK88,sK87,sK89,vvar(sK88)) ),
    introduced(definition,[new_symbols(definition,[spl90_43])],[avatar_definition]) ).

fof(f4474,plain,
    ( ~ sP84(sK88,sK87,sK89,vvar(sK88))
    | spl90_43 ),
    inference(avatar_component_clause,[],[f4472]) ).

fof(f4476,plain,
    ( ~ sP84(sK88,sK87,sK89,vvar(sK88))
    | ~ spl90_32 ),
    inference(forward_subsumption_resolution,[],[f4470,f645]) ).

fof(f4477,plain,
    ( ~ spl90_43
    | ~ spl90_32 ),
    inference(avatar_split_clause,[],[f4476,f3736,f4472]) ).

fof(f4478,plain,
    ( vsomeType(sK89) = vlookup(sK88,sK87)
    | spl90_43 ),
    inference(resolution,[],[f4474,f643]) ).

fof(f4486,plain,
    ( spl90_2
    | spl90_43 ),
    inference(avatar_split_clause,[],[f4478,f4472,f704]) ).

fof(f5032,plain,
    ( vlookup(sK85,sK87) = vsomeType(sK89)
    | ~ spl90_1
    | ~ spl90_2 ),
    inference(forward_demodulation,[],[f705,f702]) ).

fof(f5033,plain,
    ( vnoType = vsomeType(sK89)
    | ~ spl90_1
    | ~ spl90_2 ),
    inference(forward_demodulation,[],[f5032,f346]) ).

fof(f5034,plain,
    ( $false
    | ~ spl90_1
    | ~ spl90_2 ),
    inference(forward_subsumption_resolution,[],[f5033,f175]) ).

fof(f5035,plain,
    ( ~ spl90_1
    | ~ spl90_2 ),
    inference(avatar_contradiction_clause,[],[f5034]) ).

cnf(s1,plain,
    ( spl90_1
    | ~ spl90_2 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s126,plain,
    spl90_32,
    inference(sat_conversion,[],[f3749]) ).

cnf(s176,plain,
    ( ~ spl90_32
    | ~ spl90_43 ),
    inference(sat_conversion,[],[f4477]) ).

cnf(s186,plain,
    ( spl90_2
    | spl90_43 ),
    inference(sat_conversion,[],[f4486]) ).

cnf(s197,plain,
    ( ~ spl90_1
    | ~ spl90_2 ),
    inference(sat_conversion,[],[f5035]) ).

cnf(s198,plain,
    ~ spl90_43,
    inference(rat,[],[s176,s126]) ).

cnf(s199,plain,
    spl90_2,
    inference(rat,[],[s186,s198]) ).

cnf(s200,plain,
    ~ spl90_1,
    inference(rat,[],[s197,s199]) ).

cnf(s212,plain,
    $false,
    inference(rat,[],[s1,s199,s200]) ).

fof(f5036,plain,
    $false,
    inference(avatar_sat_refutation,[],[s212]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM143+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n019.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 21:56:03 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  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
% 1.59/0.56  % (316468)Will run a generic schedule for satisfiability detection.
% 1.59/0.56  % (316477)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1103774500:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.59/0.56  % (316474)% WARNING: option uhcvi not known.
% 1.59/0.56  % (316473)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1644204985_2999 on theBenchmark for (2999ds/0Mi)
% 1.59/0.56  % (316474)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4063402038:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.59/0.56  % (316475)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2608531724:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.59/0.56  % (316476)dis+10_1_sil=32000:sp=arity:random_seed=803601403:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.59/0.56  % (316478)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3819182890:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.59/0.56  % (316479)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3027186476:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.59/0.56  % TRYING [1]
% 1.59/0.56  % TRYING [2]
% 1.59/0.56  % (316477)Instruction limit reached! 
% 1.59/0.56  % (316477)------------------------------
% 1.59/0.56  % (316477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56  % (316477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56  % (316477)CaDiCaL version: 2.1.3
% 1.59/0.56  % (316477)Termination reason: Instruction limit
% 1.59/0.56  % (316477)Termination phase: Saturation
% 1.59/0.56  % (316477)Time elapsed: 0.033 s
% 1.59/0.56  % (316477)Peak memory usage: 13 MB
% 1.59/0.56  % (316477)Instructions burned: 117 (million)
% 1.59/0.56  % TRYING [3]
% 1.59/0.56  % (316487)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=292784105:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.59/0.56  % TRYING [1]
% 1.59/0.56  % TRYING [2]
% 1.59/0.56  % TRYING [3]
% 1.59/0.56  % (316476)Instruction limit reached! 
% 1.59/0.56  % (316476)------------------------------
% 1.59/0.56  % (316476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56  % (316476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56  % (316476)CaDiCaL version: 2.1.3
% 1.59/0.56  % (316476)Termination reason: Instruction limit
% 1.59/0.56  % (316476)Termination phase: Saturation
% 1.59/0.56  % (316476)Time elapsed: 0.063 s
% 1.59/0.56  % (316476)Peak memory usage: 13 MB
% 1.59/0.56  % (316476)Instructions burned: 103 (million)
% 1.59/0.56  % (316478)Instruction limit reached! 
% 1.59/0.56  % (316478)------------------------------
% 1.59/0.56  % (316478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56  % (316478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56  % (316478)CaDiCaL version: 2.1.3
% 1.59/0.56  % (316478)Termination reason: Instruction limit
% 1.59/0.56  % (316478)Termination phase: Saturation
% 1.59/0.56  % (316478)Time elapsed: 0.078 s
% 1.59/0.56  % (316478)Peak memory usage: 13 MB
% 1.59/0.56  % (316478)Instructions burned: 133 (million)
% 1.59/0.56  % (316489)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2679445555:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.59/0.56  % (316479)Instruction limit reached! 
% 1.59/0.56  % (316479)------------------------------
% 1.59/0.56  % (316479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56  % (316479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56  % (316479)CaDiCaL version: 2.1.3
% 1.59/0.56  % (316479)Termination reason: Instruction limit
% 1.59/0.56  % (316479)Termination phase: Saturation
% 1.59/0.56  % (316479)Time elapsed: 0.092 s
% 1.59/0.56  % (316479)Peak memory usage: 14 MB
% 1.59/0.56  % (316479)Instructions burned: 160 (million)
% 1.59/0.56  % (316490)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=3515388855:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.59/0.56  % (316492)ott-21_1_sil=16000:fs=off:random_seed=1407853175:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.59/0.56  % (316489)Instruction limit reached! 
% 1.59/0.56  % (316489)------------------------------
% 1.59/0.56  % (316489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56  % (316489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56  % (316489)CaDiCaL version: 2.1.3
% 1.59/0.56  % (316489)Termination reason: Instruction limit
% 1.59/0.56  % (316489)Termination phase: Saturation
% 1.59/0.56  % (316489)Time elapsed: 0.073 s
% 1.59/0.56  % (316489)Peak memory usage: 13 MB
% 1.59/0.56  % (316489)Instructions burned: 131 (million)
% 1.59/0.56  % (316495)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=5331343:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.59/0.56  % (316487)Instruction limit reached! 
% 1.59/0.56  % (316487)------------------------------
% 1.59/0.56  % (316487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56  % (316487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56  % (316487)CaDiCaL version: 2.1.3
% 1.59/0.56  % (316487)Termination reason: Instruction limit
% 1.59/0.56  % (316487)Termination phase: Finite model building SAT solving
% 1.59/0.56  % (316487)Time elapsed: 0.144 s
% 1.59/0.56  % (316487)Peak memory usage: 43 MB
% 1.59/0.56  % (316487)Instructions burned: 715 (million)
% 1.59/0.56  % (316497)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3117716393:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.59/0.56  % TRYING [1]
% 1.59/0.56  % TRYING [2]
% 1.59/0.56  % (316492)Instruction limit reached! 
% 1.59/0.56  % (316492)------------------------------
% 1.59/0.56  % (316492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56  % (316492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56  % (316492)CaDiCaL version: 2.1.3
% 1.59/0.56  % (316492)Termination reason: Instruction limit
% 1.59/0.56  % (316492)Termination phase: Saturation
% 1.59/0.56  % (316492)Time elapsed: 0.095 s
% 1.59/0.56  % (316492)Peak memory usage: 13 MB
% 1.59/0.56  % (316492)Instructions burned: 181 (million)
% 1.59/0.56  % TRYING [3]
% 1.59/0.56  % (316499)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=709295749:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.59/0.56  % TRYING [4]
% 1.59/0.56  % (316474) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-316468-316474"...
% 1.59/0.56  % (316474)...printing done.
% 1.59/0.56  % (316474)Refutation found. Thanks to Tanya!
% 1.59/0.56  % SZS status Theorem for theBenchmark
% 1.59/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56  % (316474)------------------------------
% 1.59/0.56  % (316474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56  % (316474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56  % (316474)CaDiCaL version: 2.1.3
% 1.59/0.56  % (316474)Termination reason: Refutation
% 1.59/0.56  % (316474)Time elapsed: 0.297 s
% 1.59/0.56  % (316474)Peak memory usage: 15 MB
% 1.59/0.56  % (316474)Instructions burned: 588 (million)
% 1.59/0.56  % (316468)Success in time 0.34 s
% 1.59/0.56  % Vampire exiting
%------------------------------------------------------------------------------