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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM463+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 12:24:24 PM UTC 2026

% Result   : Theorem 12.51s 2.34s
% Output   : Refutation 12.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  118 (  16 unt;   5 def)
%            Number of atoms       :  363 (  69 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  426 ( 181   ~; 187   |;  36   &)
%                                         (   8 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   84 (   0 sgn  81   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

fof(f3,axiom,
    ( aNaturalNumber0(sz10)
    & sz10 != sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(X0,sz00) = X0
        & X0 = sdtpldt0(sz00,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(X0,sz10) = X0
        & X0 = sdtasdt0(sz10,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).

fof(f20,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( sdtlseqdt0(X0,X1)
          & sdtlseqdt0(X1,X2) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( sdtlseqdt0(X0,X1)
        | ( X1 != X0
          & sdtlseqdt0(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X0 != sz00
          & X1 != X2
          & sdtlseqdt0(X1,X2) )
       => ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
          & sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).

fof(f26,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( X0 = sz00
        | X0 = sz10
        | ( sz10 != X0
          & sdtlseqdt0(sz10,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).

fof(f27,axiom,
    ( aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).

fof(f28,conjecture,
    ( xm != sz00
   => sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f29,negated_conjecture,
    ~ ( xm != sz00
     => sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f33]) ).

fof(f39,plain,
    ! [X0] :
      ( ( sdtpldt0(X0,sz00) = X0
        & X0 = sdtpldt0(sz00,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f44,plain,
    ! [X0] :
      ( ( sdtasdt0(X0,sz10) = X0
        & X0 = sdtasdt0(sz10,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f56]) ).

fof(f60,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f63]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | ( X1 != X0
        & sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | ( X1 != X0
        & sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f65]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
      | sz00 = X0
      | X1 = X2
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
      | sz00 = X0
      | X1 = X2
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f69]) ).

fof(f71,plain,
    ! [X0] :
      ( X0 = sz00
      | X0 = sz10
      | ( sz10 != X0
        & sdtlseqdt0(sz10,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f72,plain,
    ! [X0] :
      ( X0 = sz00
      | X0 = sz10
      | ( sz10 != X0
        & sdtlseqdt0(sz10,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f71]) ).

fof(f73,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    & xm != sz00 ),
    inference(ennf_transformation,[],[f29]) ).

fof(f74,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f76,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(sz00,X0) = X0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtasdt0(X0,sz10) = X0 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f104,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f115,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f117,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | ~ aNaturalNumber0(X0)
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f118,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f27]) ).

fof(f119,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

fof(f120,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f73]) ).

fof(f121,plain,
    ~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f73]) ).

fof(f122,plain,
    ! [X2,X0] :
      ( ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
    inference(equality_resolution,[],[f100]) ).

fof(f143,plain,
    xn = sdtasdt0(xn,sz10),
    inference(resolution,[],[f86,f118]) ).

fof(f172,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xn)
    | sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
    inference(resolution,[],[f107,f121]) ).

fof(f173,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
    inference(forward_subsumption_resolution,[],[f172,f118]) ).

fof(f175,definition,
    ( spl1_1
  <=> sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f177,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xm),xn)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f179,definition,
    ( spl1_2
  <=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f180,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f181,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f182,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f173,f179,f175]) ).

fof(f196,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | spl1_2 ),
    inference(resolution,[],[f181,f78]) ).

fof(f197,plain,
    ( ~ aNaturalNumber0(xm)
    | spl1_2 ),
    inference(forward_subsumption_resolution,[],[f196,f118]) ).

fof(f198,plain,
    ( $false
    | spl1_2 ),
    inference(forward_subsumption_resolution,[],[f197,f119]) ).

fof(f199,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f198]) ).

fof(f215,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sz00,sdtasdt0(xn,xm))
    | ~ spl1_2 ),
    inference(resolution,[],[f180,f81]) ).

fof(f268,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(forward_subsumption_resolution,[],[f122,f77]) ).

fof(f272,plain,
    ( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_2 ),
    inference(superposition,[],[f268,f215]) ).

fof(f276,plain,
    ( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_2 ),
    inference(forward_subsumption_resolution,[],[f272,f180]) ).

fof(f279,plain,
    ( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
    | ~ spl1_2 ),
    inference(forward_subsumption_resolution,[],[f276,f74]) ).

fof(f336,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(xn)
      | ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
      | ~ sdtlseqdt0(xn,X0)
      | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(resolution,[],[f106,f121]) ).

fof(f345,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
      | ~ sdtlseqdt0(xn,X0)
      | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(forward_subsumption_resolution,[],[f336,f118]) ).

fof(f346,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(xn,X0) )
    | ~ spl1_2 ),
    inference(forward_subsumption_resolution,[],[f345,f180]) ).

fof(f350,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ sdtlseqdt0(xn,sz00)
    | ~ spl1_2 ),
    inference(resolution,[],[f346,f279]) ).

fof(f356,plain,
    ( ~ sdtlseqdt0(xn,sz00)
    | ~ spl1_2 ),
    inference(forward_subsumption_resolution,[],[f350,f74]) ).

fof(f946,definition,
    ( spl1_5
  <=> sz00 = xn ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f947,plain,
    ( sz00 = xn
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f948,plain,
    ( sz00 != xn
    | spl1_5 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f1034,plain,
    ! [X0] :
      ( sdtlseqdt0(xn,sdtasdt0(xn,X0))
      | ~ aNaturalNumber0(sz10)
      | ~ aNaturalNumber0(xn)
      | ~ sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = xn
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f115,f143]) ).

fof(f1049,plain,
    ! [X0] :
      ( sdtlseqdt0(xn,sdtasdt0(xn,X0))
      | ~ aNaturalNumber0(xn)
      | ~ sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = xn
      | ~ aNaturalNumber0(X0) ),
    inference(forward_subsumption_resolution,[],[f1034,f76]) ).

fof(f1068,plain,
    ! [X0] :
      ( sdtlseqdt0(xn,sdtasdt0(xn,X0))
      | ~ sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = xn
      | ~ aNaturalNumber0(X0) ),
    inference(forward_subsumption_resolution,[],[f1049,f118]) ).

fof(f1085,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0) )
    | spl1_5 ),
    inference(forward_subsumption_resolution,[],[f1068,f948]) ).

fof(f10715,definition,
    ( spl1_10
  <=> sz10 = xm ),
    introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).

fof(f10716,plain,
    ( sz10 != xm
    | spl1_10 ),
    inference(avatar_component_clause,[],[f10715]) ).

fof(f10717,plain,
    ( sz10 = xm
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f10715]) ).

fof(f10795,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,sz10))
    | ~ spl1_10 ),
    inference(superposition,[],[f121,f10717]) ).

fof(f10802,plain,
    ( sdtlseqdt0(sdtasdt0(xn,sz10),xn)
    | ~ spl1_1
    | ~ spl1_10 ),
    inference(superposition,[],[f177,f10717]) ).

fof(f10899,plain,
    ( sdtlseqdt0(xn,xn)
    | ~ spl1_1
    | ~ spl1_10 ),
    inference(forward_demodulation,[],[f10802,f143]) ).

fof(f10900,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | ~ spl1_10 ),
    inference(forward_demodulation,[],[f10795,f143]) ).

fof(f11176,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_10 ),
    inference(forward_subsumption_resolution,[],[f10900,f10899]) ).

fof(f11177,plain,
    ( ~ spl1_1
    | ~ spl1_10 ),
    inference(avatar_contradiction_clause,[],[f11176]) ).

fof(f11422,definition,
    ( spl1_13
  <=> sdtlseqdt0(sz10,xm) ),
    introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).

fof(f11423,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    | spl1_13 ),
    inference(avatar_component_clause,[],[f11422]) ).

fof(f11424,plain,
    ( sdtlseqdt0(sz10,xm)
    | ~ spl1_13 ),
    inference(avatar_component_clause,[],[f11422]) ).

fof(f11640,plain,
    ( ~ aNaturalNumber0(xm)
    | sz10 = xm
    | sz00 = xm
    | spl1_13 ),
    inference(resolution,[],[f11423,f117]) ).

fof(f11649,plain,
    ( sz10 = xm
    | sz00 = xm
    | spl1_13 ),
    inference(forward_subsumption_resolution,[],[f11640,f119]) ).

fof(f11654,plain,
    ( sz00 = xm
    | spl1_10
    | spl1_13 ),
    inference(forward_subsumption_resolution,[],[f11649,f10716]) ).

fof(f11655,plain,
    ( $false
    | spl1_10
    | spl1_13 ),
    inference(forward_subsumption_resolution,[],[f11654,f120]) ).

fof(f11656,plain,
    ( spl1_10
    | spl1_13 ),
    inference(avatar_contradiction_clause,[],[f11655]) ).

fof(f19218,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    | sz10 = xm
    | ~ aNaturalNumber0(xm)
    | spl1_5 ),
    inference(resolution,[],[f1085,f121]) ).

fof(f19339,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(xm)
    | spl1_5
    | ~ spl1_13 ),
    inference(forward_subsumption_resolution,[],[f19218,f11424]) ).

fof(f19343,plain,
    ( ~ aNaturalNumber0(xm)
    | spl1_5
    | spl1_10
    | ~ spl1_13 ),
    inference(forward_subsumption_resolution,[],[f19339,f10716]) ).

fof(f19347,plain,
    ( $false
    | spl1_5
    | spl1_10
    | ~ spl1_13 ),
    inference(forward_subsumption_resolution,[],[f19343,f119]) ).

fof(f19348,plain,
    ( spl1_5
    | spl1_10
    | ~ spl1_13 ),
    inference(avatar_contradiction_clause,[],[f19347]) ).

fof(f20489,plain,
    ( ~ sdtlseqdt0(sz00,sz00)
    | ~ spl1_2
    | ~ spl1_5 ),
    inference(superposition,[],[f356,f947]) ).

fof(f21114,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ spl1_2
    | ~ spl1_5 ),
    inference(resolution,[],[f20489,f104]) ).

fof(f21124,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_5 ),
    inference(forward_subsumption_resolution,[],[f21114,f74]) ).

fof(f21125,plain,
    ( ~ spl1_2
    | ~ spl1_5 ),
    inference(avatar_contradiction_clause,[],[f21124]) ).

cnf(s1,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(sat_conversion,[],[f182]) ).

cnf(s2,plain,
    spl1_2,
    inference(sat_conversion,[],[f199]) ).

cnf(s11,plain,
    ( ~ spl1_1
    | ~ spl1_10 ),
    inference(sat_conversion,[],[f11177]) ).

cnf(s14,plain,
    ( spl1_10
    | spl1_13 ),
    inference(sat_conversion,[],[f11656]) ).

cnf(s16,plain,
    ( spl1_5
    | spl1_10
    | ~ spl1_13 ),
    inference(sat_conversion,[],[f19348]) ).

cnf(s27,plain,
    ( ~ spl1_2
    | ~ spl1_5 ),
    inference(sat_conversion,[],[f21125]) ).

cnf(s28,plain,
    ~ spl1_5,
    inference(rat,[],[s27,s2]) ).

cnf(s32,plain,
    spl1_1,
    inference(rat,[],[s1,s2]) ).

cnf(s33,plain,
    ~ spl1_10,
    inference(rat,[],[s11,s32]) ).

cnf(s35,plain,
    ~ spl1_13,
    inference(rat,[],[s16,s28,s33]) ).

cnf(s37,plain,
    $false,
    inference(rat,[],[s14,s35,s33]) ).

fof(f21126,plain,
    $false,
    inference(avatar_sat_refutation,[],[s37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM463+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n007.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 19:59:25 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  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
% 12.51/2.34  % (1745526)Will run a generic schedule for satisfiability detection.
% 12.51/2.34  % (1745531)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3335059463_2999 on theBenchmark for (2999ds/0Mi)
% 12.51/2.34  % (1745532)% WARNING: option uhcvi not known.
% 12.51/2.34  % TRYING [1]
% 12.51/2.34  % TRYING [2]
% 12.51/2.34  % TRYING [3]
% 12.51/2.34  % (1745532)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3393731090:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.51/2.34  % (1745533)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=638398620:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.51/2.34  % (1745534)dis+10_1_sil=32000:sp=arity:random_seed=2893441595:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.51/2.34  % TRYING [4]
% 12.51/2.34  % (1745535)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=62818750:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.51/2.34  % TRYING [5]
% 12.51/2.34  % (1745537)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=531574345:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.51/2.34  % (1745536)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=695669766:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.51/2.34  % TRYING [6]
% 12.51/2.34  % (1745534)Instruction limit reached! 
% 12.51/2.34  % (1745534)------------------------------
% 12.51/2.34  % (1745534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745534)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745534)Termination reason: Instruction limit
% 12.51/2.34  % (1745534)Termination phase: Saturation
% 12.51/2.34  % (1745534)Time elapsed: 0.061 s
% 12.51/2.34  % (1745534)Peak memory usage: 12 MB
% 12.51/2.34  % (1745534)Instructions burned: 104 (million)
% 12.51/2.34  % (1745535)Instruction limit reached! 
% 12.51/2.34  % (1745535)------------------------------
% 12.51/2.34  % (1745535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745535)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745535)Termination reason: Instruction limit
% 12.51/2.34  % (1745535)Termination phase: Saturation
% 12.51/2.34  % (1745535)Time elapsed: 0.070 s
% 12.51/2.34  % (1745535)Peak memory usage: 13 MB
% 12.51/2.34  % (1745535)Instructions burned: 117 (million)
% 12.51/2.34  % (1745553)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4054038719:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 12.51/2.34  % TRYING [1]
% 12.51/2.34  % TRYING [2]
% 12.51/2.34  % TRYING [3]
% 12.51/2.34  % (1745555)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3405703784:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 12.51/2.34  % TRYING [4]
% 12.51/2.34  % (1745536)Instruction limit reached! 
% 12.51/2.34  % (1745536)------------------------------
% 12.51/2.34  % (1745536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745536)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745536)Termination reason: Instruction limit
% 12.51/2.34  % (1745536)Termination phase: Saturation
% 12.51/2.34  % (1745536)Time elapsed: 0.076 s
% 12.51/2.34  % (1745536)Peak memory usage: 13 MB
% 12.51/2.34  % (1745536)Instructions burned: 131 (million)
% 12.51/2.34  % (1745564)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=2320325350:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.51/2.34  % TRYING [5]
% 12.51/2.34  % (1745537)Instruction limit reached! 
% 12.51/2.34  % (1745537)------------------------------
% 12.51/2.34  % (1745537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745537)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745537)Termination reason: Instruction limit
% 12.51/2.34  % (1745537)Termination phase: Saturation
% 12.51/2.34  % (1745537)Time elapsed: 0.108 s
% 12.51/2.34  % (1745537)Peak memory usage: 14 MB
% 12.51/2.34  % (1745537)Instructions burned: 160 (million)
% 12.51/2.34  % TRYING [7]
% 12.51/2.34  % (1745576)ott-21_1_sil=16000:fs=off:random_seed=1744504984:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.51/2.34  % (1745555)Instruction limit reached! 
% 12.51/2.34  % (1745555)------------------------------
% 12.51/2.34  % (1745555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745555)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745555)Termination reason: Instruction limit
% 12.51/2.34  % (1745555)Termination phase: Saturation
% 12.51/2.34  % (1745555)Time elapsed: 0.067 s
% 12.51/2.34  % (1745555)Peak memory usage: 12 MB
% 12.51/2.34  % (1745555)Instructions burned: 133 (million)
% 12.51/2.34  % (1745590)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4211423763:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.51/2.34  % TRYING [6]
% 12.51/2.34  % (1745576)Instruction limit reached! 
% 12.51/2.34  % (1745576)------------------------------
% 12.51/2.34  % (1745576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745576)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745576)Termination reason: Instruction limit
% 12.51/2.34  % (1745576)Termination phase: Saturation
% 12.51/2.34  % (1745576)Time elapsed: 0.091 s
% 12.51/2.34  % (1745576)Peak memory usage: 13 MB
% 12.51/2.34  % (1745576)Instructions burned: 182 (million)
% 12.51/2.34  % (1745622)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3940360234:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.51/2.34  % TRYING [1]
% 12.51/2.34  % TRYING [2]
% 12.51/2.34  % TRYING [3]
% 12.51/2.34  % TRYING [4]
% 12.51/2.34  % TRYING [5]
% 12.51/2.34  % TRYING [8]
% 12.51/2.34  % (1745553)Instruction limit reached! 
% 12.51/2.34  % (1745553)------------------------------
% 12.51/2.34  % (1745553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745553)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745553)Termination reason: Instruction limit
% 12.51/2.34  % (1745553)Termination phase: Finite model building SAT solving
% 12.51/2.34  % (1745553)Time elapsed: 0.275 s
% 12.51/2.34  % (1745553)Peak memory usage: 31 MB
% 12.51/2.34  % (1745553)Instructions burned: 714 (million)
% 12.51/2.34  % (1745648)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3974784922:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 12.51/2.34  % (1745590)Instruction limit reached! 
% 12.51/2.34  % (1745590)------------------------------
% 12.51/2.34  % (1745590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745590)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745590)Termination reason: Instruction limit
% 12.51/2.34  % (1745590)Termination phase: Saturation
% 12.51/2.34  % (1745590)Time elapsed: 0.313 s
% 12.51/2.34  % (1745590)Peak memory usage: 15 MB
% 12.51/2.34  % (1745590)Instructions burned: 477 (million)
% 12.51/2.34  % (1745564)Instruction limit reached! 
% 12.51/2.34  % (1745564)------------------------------
% 12.51/2.34  % (1745564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745564)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745564)Termination reason: Instruction limit
% 12.51/2.34  % (1745564)Termination phase: Saturation
% 12.51/2.34  % (1745564)Time elapsed: 0.379 s
% 12.51/2.34  % (1745564)Peak memory usage: 20 MB
% 12.51/2.34  % (1745564)Instructions burned: 684 (million)
% 12.51/2.34  % (1745660)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3360611735:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 12.51/2.34  % (1745661)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=3124716498:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 12.51/2.34  % TRYING [6]
% 12.51/2.34  % (1745622)Instruction limit reached! 
% 12.51/2.34  % (1745622)------------------------------
% 12.51/2.34  % (1745622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745622)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745622)Termination reason: Instruction limit
% 12.51/2.34  % (1745622)Termination phase: Finite model building constraint generation
% 12.51/2.34  % (1745622)Time elapsed: 0.347 s
% 12.51/2.34  % (1745622)Peak memory usage: 23 MB
% 12.51/2.34  % (1745622)Instructions burned: 865 (million)
% 12.51/2.34  % (1745664)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3518535386:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 12.51/2.34  % TRYING [14]
% 12.51/2.34  % TRYING [9]
% 12.51/2.34  % (1745661)Instruction limit reached! 
% 12.51/2.34  % (1745661)------------------------------
% 12.51/2.34  % (1745661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745661)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745661)Termination reason: Instruction limit
% 12.51/2.34  % (1745661)Termination phase: Saturation
% 12.51/2.34  % (1745661)Time elapsed: 0.332 s
% 12.51/2.34  % (1745661)Peak memory usage: 19 MB
% 12.51/2.34  % (1745661)Instructions burned: 692 (million)
% 12.51/2.34  % (1745660)Instruction limit reached! 
% 12.51/2.34  % (1745660)------------------------------
% 12.51/2.34  % (1745660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745660)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745660)Termination reason: Instruction limit
% 12.51/2.34  % (1745660)Termination phase: Finite model building constraint generation
% 12.51/2.34  % (1745660)Time elapsed: 0.340 s
% 12.51/2.34  % (1745660)Peak memory usage: 73 MB
% 12.51/2.34  % (1745660)Instructions burned: 891 (million)
% 12.51/2.34  % (1745679)fmb+10_1_sil=64000:random_seed=2313486007:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 12.51/2.34  % TRYING [1]
% 12.51/2.34  % TRYING [2]
% 12.51/2.34  % TRYING [3]
% 12.51/2.34  % (1745680)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3947414497:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 12.51/2.34  % TRYING [20]
% 12.51/2.34  % TRYING [4]
% 12.51/2.34  % TRYING [5]
% 12.51/2.34  % (1745648)Instruction limit reached! 
% 12.51/2.34  % (1745648)------------------------------
% 12.51/2.34  % (1745648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745648)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745648)Termination reason: Instruction limit
% 12.51/2.34  % (1745648)Termination phase: Saturation
% 12.51/2.34  % (1745648)Time elapsed: 0.665 s
% 12.51/2.34  % (1745648)Peak memory usage: 20 MB
% 12.51/2.34  % (1745648)Instructions burned: 1180 (million)
% 12.51/2.34  % (1745683)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2975765289:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 12.51/2.34  % TRYING [8]
% 12.51/2.34  % (1745664)Instruction limit reached! 
% 12.51/2.34  % (1745664)------------------------------
% 12.51/2.34  % (1745664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745664)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745664)Termination reason: Instruction limit
% 12.51/2.34  % (1745664)Termination phase: Saturation
% 12.51/2.34  % (1745664)Time elapsed: 0.489 s
% 12.51/2.34  % (1745664)Peak memory usage: 19 MB
% 12.51/2.34  % (1745664)Instructions burned: 880 (million)
% 12.51/2.34  % (1745685)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=45299042:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 12.51/2.34  % TRYING [6]
% 12.51/2.34  % (1745683)Instruction limit reached! 
% 12.51/2.34  % (1745683)------------------------------
% 12.51/2.34  % (1745683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745683)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745683)Termination reason: Instruction limit
% 12.51/2.34  % (1745683)Termination phase: Finite model building constraint generation
% 12.51/2.34  % (1745683)Time elapsed: 0.393 s
% 12.51/2.34  % (1745683)Peak memory usage: 64 MB
% 12.51/2.34  % (1745683)Instructions burned: 921 (million)
% 12.51/2.34  % (1745697)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3946252509:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 12.51/2.34  % TRYING [7]
% 12.51/2.34  % (1745685) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1745526-1745685"...
% 12.51/2.34  % (1745685)...printing done.
% 12.51/2.34  % (1745685)Refutation found. Thanks to Tanya!
% 12.51/2.34  % SZS status Theorem for theBenchmark
% 12.51/2.34  % SZS output start Proof for theBenchmark
% See solution above
% 12.51/2.34  % (1745685)------------------------------
% 12.51/2.34  % (1745685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.34  % (1745685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.34  % (1745685)CaDiCaL version: 2.1.3
% 12.51/2.34  % (1745685)Termination reason: Refutation
% 12.51/2.34  % (1745685)Time elapsed: 0.698 s
% 12.51/2.34  % (1745685)Peak memory usage: 19 MB
% 12.51/2.34  % (1745685)Instructions burned: 970 (million)
% 12.51/2.34  % (1745526)Success in time 1.923 s
% 12.51/2.34  % Vampire exiting
%------------------------------------------------------------------------------