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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM527+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 12:24:40 PM UTC 2026

% Result   : Theorem 141.61s 40.89s
% Output   : Refutation 141.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  155 (  34 unt;   5 def)
%            Number of atoms       :  555 ( 156 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  692 ( 292   ~; 293   |;  84   &)
%                                         (   8 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  120 (   0 sgn 107   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(X0,sz00) = X0
        & X0 = sdtpldt0(sz00,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
          | sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( sdtlseqdt0(X0,X1)
          & sdtlseqdt0(X1,X2) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( sdtlseqdt0(X0,X1)
        | ( X1 != X0
          & sdtlseqdt0(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mMonMul) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( ( X0 != sz00
          & doDivides0(X0,X1) )
       => ! [X2] :
            ( X2 = sdtsldt0(X1,X0)
          <=> ( aNaturalNumber0(X2)
              & X1 = sdtasdt0(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).

fof(f40,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp)
    & xn != sz00
    & xm != sz00
    & xp != sz00 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).

fof(f42,axiom,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).

fof(f44,axiom,
    ( ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
    & doDivides0(xp,sdtasdt0(xn,xn))
    & ? [X0] :
        ( aNaturalNumber0(X0)
        & xn = sdtasdt0(xp,X0) )
    & doDivides0(xp,xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3046) ).

fof(f45,axiom,
    ( aNaturalNumber0(xq)
    & xn = sdtasdt0(xp,xq)
    & xq = sdtsldt0(xn,xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3059) ).

fof(f46,axiom,
    sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3082) ).

fof(f47,conjecture,
    ( ( ? [X0] :
          ( aNaturalNumber0(X0)
          & sdtpldt0(xn,X0) = xm )
      & sdtlseqdt0(xn,xm) )
   => ( ? [X0] :
          ( aNaturalNumber0(X0)
          & sdtpldt0(sdtasdt0(xn,xn),X0) = sdtasdt0(xm,xm) )
      | sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f48,negated_conjecture,
    ~ ( ( ? [X0] :
            ( aNaturalNumber0(X0)
            & sdtpldt0(xn,X0) = xm )
        & sdtlseqdt0(xn,xm) )
     => ( ? [X0] :
            ( aNaturalNumber0(X0)
            & sdtpldt0(sdtasdt0(xn,xn),X0) = sdtasdt0(xm,xm) )
        | sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
    inference(negated_conjecture,[status(cth)],[f47]) ).

fof(f51,plain,
    ( ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
    & doDivides0(xp,sdtasdt0(xn,xn))
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & xn = sdtasdt0(xp,X1) )
    & doDivides0(xp,xn) ),
    inference(rectify,[],[f44]) ).

fof(f52,plain,
    ~ ( ( ? [X0] :
            ( aNaturalNumber0(X0)
            & sdtpldt0(xn,X0) = xm )
        & sdtlseqdt0(xn,xm) )
     => ( ? [X1] :
            ( aNaturalNumber0(X1)
            & sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),X1) )
        | sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
    inference(rectify,[],[f48]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f55]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f57]) ).

fof(f61,plain,
    ! [X0] :
      ( ( sdtpldt0(X0,sz00) = X0
        & X0 = sdtpldt0(sz00,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        & sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        & sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f70]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f85]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | ( X1 != X0
        & sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | ( X1 != X0
        & sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f87]) ).

fof(f91,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(f92,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,[],[f91]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( X2 = sdtsldt0(X1,X0)
        <=> ( aNaturalNumber0(X2)
            & X1 = sdtasdt0(X0,X2) ) )
      | sz00 = X0
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( X2 = sdtsldt0(X1,X0)
        <=> ( aNaturalNumber0(X2)
            & X1 = sdtasdt0(X0,X2) ) )
      | sz00 = X0
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f101]) ).

fof(f123,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(xm,xm) != sdtpldt0(sdtasdt0(xn,xn),X1) )
    & ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
    & ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtpldt0(xn,X0) = xm )
    & sdtlseqdt0(xn,xm) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f124,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(xm,xm) != sdtpldt0(sdtasdt0(xn,xn),X1) )
    & ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
    & ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtpldt0(xn,X0) = xm )
    & sdtlseqdt0(xn,xm) ),
    inference(flattening,[],[f123]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X2 = sdtsldt0(X1,X0)
            | ~ aNaturalNumber0(X2)
            | sdtasdt0(X0,X2) != X1 )
          & ( ( aNaturalNumber0(X2)
              & X1 = sdtasdt0(X0,X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | sz00 = X0
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X2 = sdtsldt0(X1,X0)
            | ~ aNaturalNumber0(X2)
            | sdtasdt0(X0,X2) != X1 )
          & ( ( aNaturalNumber0(X2)
              & X1 = sdtasdt0(X0,X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | sz00 = X0
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f133]) ).

fof(f141,plain,
    ( aNaturalNumber0(sK6)
    & sdtasdt0(xn,xn) = sdtasdt0(xp,sK6)
    & doDivides0(xp,sdtasdt0(xn,xn))
    & aNaturalNumber0(sK7)
    & xn = sdtasdt0(xp,sK7)
    & doDivides0(xp,xn) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f51]) ).

fof(f142,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,xm) != sdtpldt0(sdtasdt0(xn,xn),X0) )
    & ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & xm = sdtpldt0(xn,X1) )
    & sdtlseqdt0(xn,xm) ),
    inference(rectify,[],[f124]) ).

fof(f143,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,xm) != sdtpldt0(sdtasdt0(xn,xn),X0) )
    & ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
    & aNaturalNumber0(sK8)
    & xm = sdtpldt0(xn,sK8)
    & sdtlseqdt0(xn,xm) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8)],[f142]) ).

fof(f144,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(sz00,X0) = X0 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(X0,sz00) = X0 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | X1 = X2
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f183,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
      | sz00 = X0
      | X1 = X2
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | sz00 = X0
      | X1 = X2
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( sdtsldt0(X1,X0) = X2
      | ~ aNaturalNumber0(X2)
      | sdtasdt0(X0,X2) != X1
      | sz00 = X0
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f213,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f40]) ).

fof(f214,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f40]) ).

fof(f215,plain,
    sz00 != xn,
    inference(cnf_transformation,[],[f40]) ).

fof(f216,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f40]) ).

fof(f217,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f40]) ).

fof(f218,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f40]) ).

fof(f226,plain,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f234,plain,
    doDivides0(xp,sdtasdt0(xn,xn)),
    inference(cnf_transformation,[],[f141]) ).

fof(f235,plain,
    sdtasdt0(xn,xn) = sdtasdt0(xp,sK6),
    inference(cnf_transformation,[],[f141]) ).

fof(f236,plain,
    aNaturalNumber0(sK6),
    inference(cnf_transformation,[],[f141]) ).

fof(f239,plain,
    aNaturalNumber0(xq),
    inference(cnf_transformation,[],[f45]) ).

fof(f240,plain,
    sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
    inference(cnf_transformation,[],[f46]) ).

fof(f241,plain,
    sdtlseqdt0(xn,xm),
    inference(cnf_transformation,[],[f143]) ).

fof(f242,plain,
    xm = sdtpldt0(xn,sK8),
    inference(cnf_transformation,[],[f143]) ).

fof(f243,plain,
    aNaturalNumber0(sK8),
    inference(cnf_transformation,[],[f143]) ).

fof(f244,plain,
    ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
    inference(cnf_transformation,[],[f143]) ).

fof(f253,plain,
    ! [X2,X0] :
      ( ~ doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | sz00 = X0
      | sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
    inference(equality_resolution,[],[f196]) ).

fof(f281,plain,
    xn = sdtpldt0(sz00,xn),
    inference(resolution,[],[f151,f218]) ).

fof(f290,plain,
    xn = sdtpldt0(xn,sz00),
    inference(resolution,[],[f152,f218]) ).

fof(f352,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK6) ),
    inference(superposition,[],[f148,f235]) ).

fof(f355,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sK6) ),
    inference(forward_subsumption_resolution,[],[f352,f216]) ).

fof(f356,plain,
    aNaturalNumber0(sdtasdt0(xn,xn)),
    inference(forward_subsumption_resolution,[],[f355,f236]) ).

fof(f365,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
    inference(superposition,[],[f148,f240]) ).

fof(f366,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
    inference(forward_subsumption_resolution,[],[f365,f216]) ).

fof(f368,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(resolution,[],[f177,f244]) ).

fof(f369,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(forward_subsumption_resolution,[],[f368,f356]) ).

fof(f371,definition,
    ( spl9_5
  <=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
    introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).

fof(f372,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f375,definition,
    ( spl9_6
  <=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)) ),
    introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).

fof(f377,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
    | ~ spl9_6 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f378,plain,
    ( ~ spl9_5
    | spl9_6 ),
    inference(avatar_split_clause,[],[f369,f375,f371]) ).

fof(f406,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(sK8,X0) = sdtpldt0(X0,sK8) ),
    inference(resolution,[],[f149,f243]) ).

fof(f471,plain,
    sdtpldt0(xn,sK8) = sdtpldt0(sK8,xn),
    inference(resolution,[],[f406,f218]) ).

fof(f480,plain,
    xm = sdtpldt0(sK8,xn),
    inference(forward_demodulation,[],[f471,f242]) ).

fof(f546,definition,
    ( spl9_7
  <=> sz00 = sK8 ),
    introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).

fof(f547,plain,
    ( sz00 != sK8
    | spl9_7 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f548,plain,
    ( sz00 = sK8
    | ~ spl9_7 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f571,plain,
    ( xm = sdtpldt0(sz00,xn)
    | ~ spl9_7 ),
    inference(superposition,[],[f480,f548]) ).

fof(f572,plain,
    ( xn = xm
    | ~ spl9_7 ),
    inference(forward_demodulation,[],[f571,f281]) ).

fof(f596,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
    | ~ spl9_7 ),
    inference(superposition,[],[f244,f572]) ).

fof(f599,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
    | ~ spl9_6
    | ~ spl9_7 ),
    inference(superposition,[],[f377,f572]) ).

fof(f604,plain,
    ( $false
    | ~ spl9_6
    | ~ spl9_7 ),
    inference(forward_subsumption_resolution,[],[f596,f599]) ).

fof(f605,plain,
    ( ~ spl9_6
    | ~ spl9_7 ),
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f859,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
      | ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
      | ~ aNaturalNumber0(sdtasdt0(xn,xn))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(resolution,[],[f176,f244]) ).

fof(f868,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
      | ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(forward_subsumption_resolution,[],[f859,f356]) ).

fof(f869,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
        | ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f868,f372]) ).

fof(f1048,plain,
    ! [X0] :
      ( xm != sdtpldt0(xn,X0)
      | sK8 = X0
      | ~ aNaturalNumber0(xn)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK8) ),
    inference(superposition,[],[f162,f242]) ).

fof(f1053,plain,
    ! [X0] :
      ( xm != sdtpldt0(xn,X0)
      | sK8 = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK8) ),
    inference(forward_subsumption_resolution,[],[f1048,f218]) ).

fof(f1077,plain,
    ! [X0] :
      ( xm != sdtpldt0(xn,X0)
      | sK8 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(forward_subsumption_resolution,[],[f1053,f243]) ).

fof(f3256,plain,
    ( ~ doDivides0(xp,sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | sz00 = xp
    | sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(superposition,[],[f253,f226]) ).

fof(f3259,plain,
    ( ~ doDivides0(xp,sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sK6)
    | sz00 = xp
    | sK6 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(superposition,[],[f253,f235]) ).

fof(f3279,plain,
    ( ~ aNaturalNumber0(sK6)
    | sz00 = xp
    | sK6 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(forward_subsumption_resolution,[],[f3259,f234]) ).

fof(f3281,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | sz00 = xp
    | sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(forward_subsumption_resolution,[],[f3256,f234]) ).

fof(f3294,plain,
    ( sz00 = xp
    | sK6 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(forward_subsumption_resolution,[],[f3279,f236]) ).

fof(f3296,plain,
    ( sz00 = xp
    | sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f3281,f372]) ).

fof(f3305,plain,
    ( sK6 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(forward_subsumption_resolution,[],[f3294,f213]) ).

fof(f3307,plain,
    ( sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f3296,f213]) ).

fof(f3315,plain,
    ( sK6 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(forward_subsumption_resolution,[],[f3305,f216]) ).

fof(f3317,plain,
    ( sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f3307,f216]) ).

fof(f3321,plain,
    sK6 = sdtsldt0(sdtasdt0(xn,xn),xp),
    inference(forward_subsumption_resolution,[],[f3315,f356]) ).

fof(f3322,plain,
    ( sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f3317,f356]) ).

fof(f3324,plain,
    ( sdtasdt0(xm,xm) = sK6
    | ~ spl9_5 ),
    inference(forward_demodulation,[],[f3322,f3321]) ).

fof(f3339,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sK6)
        | sz00 = xm
        | xm = X0
        | ~ sdtlseqdt0(X0,xm)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl9_5 ),
    inference(superposition,[],[f183,f3324]) ).

fof(f3360,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sK6)
        | sz00 = xm
        | xm = X0
        | ~ sdtlseqdt0(X0,xm)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(duplicate_literal_removal,[],[f3339]) ).

fof(f3378,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sK6)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f3360,f214]) ).

fof(f3394,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sK6)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f3378,f217]) ).

fof(f3534,definition,
    ( spl9_11
  <=> aNaturalNumber0(sdtasdt0(xq,xq)) ),
    introduced(definition,[new_symbols(definition,[spl9_11])],[avatar_definition]) ).

fof(f3536,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xq,xq))
    | spl9_11 ),
    inference(avatar_component_clause,[],[f3534]) ).

fof(f3542,plain,
    ( ~ aNaturalNumber0(xq)
    | ~ aNaturalNumber0(xq)
    | spl9_11 ),
    inference(resolution,[],[f3536,f148]) ).

fof(f3543,plain,
    ( ~ aNaturalNumber0(xq)
    | spl9_11 ),
    inference(duplicate_literal_removal,[],[f3542]) ).

fof(f3544,plain,
    ( $false
    | spl9_11 ),
    inference(forward_subsumption_resolution,[],[f3543,f239]) ).

fof(f3545,plain,
    spl9_11,
    inference(avatar_contradiction_clause,[],[f3544]) ).

fof(f3762,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | sz00 = xn
        | xn = X0
        | ~ sdtlseqdt0(xn,X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(resolution,[],[f869,f185]) ).

fof(f3778,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | sz00 = xn
        | xn = X0
        | ~ sdtlseqdt0(xn,X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(duplicate_literal_removal,[],[f3762]) ).

fof(f3786,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | xn = X0
        | ~ sdtlseqdt0(xn,X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f3778,f215]) ).

fof(f3794,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | xn = X0
        | ~ sdtlseqdt0(xn,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f3786,f218]) ).

fof(f3796,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(sdtasdt0(xn,X0),sK6)
        | ~ aNaturalNumber0(sdtasdt0(xn,X0))
        | xn = X0
        | ~ sdtlseqdt0(xn,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl9_5 ),
    inference(forward_demodulation,[],[f3794,f3324]) ).

fof(f4772,definition,
    ( spl9_26
  <=> xn = xm ),
    introduced(definition,[new_symbols(definition,[spl9_26])],[avatar_definition]) ).

fof(f4773,plain,
    ( xn != xm
    | spl9_26 ),
    inference(avatar_component_clause,[],[f4772]) ).

fof(f5750,plain,
    ( xn != xm
    | sz00 = sK8
    | ~ aNaturalNumber0(sz00) ),
    inference(superposition,[],[f1077,f290]) ).

fof(f5783,plain,
    ( xn != xm
    | ~ aNaturalNumber0(sz00)
    | spl9_7 ),
    inference(forward_subsumption_resolution,[],[f5750,f547]) ).

fof(f5798,plain,
    ( xn != xm
    | spl9_7 ),
    inference(forward_subsumption_resolution,[],[f5783,f144]) ).

fof(f5802,plain,
    ( ~ spl9_26
    | spl9_7 ),
    inference(avatar_split_clause,[],[f5798,f546,f4772]) ).

fof(f8590,plain,
    ( ~ spl9_11
    | spl9_5 ),
    inference(avatar_split_clause,[],[f366,f371,f3534]) ).

fof(f153572,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | xn = xm
    | ~ sdtlseqdt0(xn,xm)
    | ~ aNaturalNumber0(xm)
    | xn = xm
    | ~ sdtlseqdt0(xn,xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl9_5 ),
    inference(resolution,[],[f3796,f3394]) ).

fof(f153597,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | xn = xm
    | ~ sdtlseqdt0(xn,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl9_5 ),
    inference(duplicate_literal_removal,[],[f153572]) ).

fof(f153598,plain,
    ( xn = xm
    | ~ sdtlseqdt0(xn,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f153597,f148]) ).

fof(f153599,plain,
    ( ~ sdtlseqdt0(xn,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl9_5
    | spl9_26 ),
    inference(forward_subsumption_resolution,[],[f153598,f4773]) ).

fof(f153600,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl9_5
    | spl9_26 ),
    inference(forward_subsumption_resolution,[],[f153599,f241]) ).

fof(f153601,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ spl9_5
    | spl9_26 ),
    inference(forward_subsumption_resolution,[],[f153600,f217]) ).

fof(f153602,plain,
    ( $false
    | ~ spl9_5
    | spl9_26 ),
    inference(forward_subsumption_resolution,[],[f153601,f218]) ).

fof(f153603,plain,
    ( ~ spl9_5
    | spl9_26 ),
    inference(avatar_contradiction_clause,[],[f153602]) ).

cnf(s4,plain,
    ( ~ spl9_5
    | spl9_6 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s7,plain,
    ( ~ spl9_6
    | ~ spl9_7 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s12,plain,
    spl9_11,
    inference(sat_conversion,[],[f3545]) ).

cnf(s30,plain,
    ( spl9_7
    | ~ spl9_26 ),
    inference(sat_conversion,[],[f5802]) ).

cnf(s41,plain,
    ( spl9_5
    | ~ spl9_11 ),
    inference(sat_conversion,[],[f8590]) ).

cnf(s287,plain,
    ( ~ spl9_5
    | spl9_26 ),
    inference(sat_conversion,[],[f153603]) ).

cnf(s317,plain,
    spl9_5,
    inference(rat,[],[s41,s12]) ).

cnf(s318,plain,
    spl9_26,
    inference(rat,[],[s287,s317]) ).

cnf(s333,plain,
    spl9_7,
    inference(rat,[],[s30,s318]) ).

cnf(s366,plain,
    ~ spl9_6,
    inference(rat,[],[s7,s333]) ).

cnf(s367,plain,
    $false,
    inference(rat,[],[s4,s366,s317]) ).

fof(f153604,plain,
    $false,
    inference(avatar_sat_refutation,[],[s367]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM527+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 20:24:31 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  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
% 14.06/2.45  % (1985397)Will run a generic schedule for satisfiability detection.
% 14.06/2.45  % (1985406)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3109578062:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.06/2.45  % (1985403)% WARNING: option uhcvi not known.
% 14.06/2.45  % (1985402)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=66718126_2999 on theBenchmark for (2999ds/0Mi)
% 14.06/2.45  % (1985407)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3498361304:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.06/2.45  % (1985403)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2925096691:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.06/2.45  % (1985404)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3202195371:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.06/2.45  % (1985405)dis+10_1_sil=32000:sp=arity:random_seed=1630364557:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.06/2.45  % (1985408)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3657842211:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.06/2.45  % Detected minimum model sizes of [3]
% 14.06/2.45  % Detected maximum model sizes of [max]
% 14.06/2.45  % TRYING [3]
% 14.06/2.45  % TRYING [4]
% 14.06/2.45  % (1985406)Instruction limit reached! 
% 14.06/2.45  % (1985406)------------------------------
% 14.06/2.45  % (1985406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.45  % (1985406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.45  % (1985406)CaDiCaL version: 2.1.3
% 14.06/2.45  % (1985406)Termination reason: Instruction limit
% 14.06/2.45  % (1985406)Termination phase: Saturation
% 14.06/2.45  % (1985406)Time elapsed: 0.036 s
% 14.06/2.45  % (1985406)Peak memory usage: 13 MB
% 14.06/2.45  % (1985406)Instructions burned: 117 (million)
% 14.06/2.45  % (1985416)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=598545127:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.06/2.45  % Detected minimum model sizes of [3]
% 14.06/2.45  % Detected maximum model sizes of [max]
% 14.06/2.45  % TRYING [3]
% 14.06/2.45  % TRYING [5]
% 14.06/2.45  % TRYING [4]
% 14.06/2.45  % (1985405)Instruction limit reached! 
% 14.06/2.45  % (1985405)------------------------------
% 14.06/2.45  % (1985405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.45  % (1985405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.45  % (1985405)CaDiCaL version: 2.1.3
% 14.06/2.45  % (1985405)Termination reason: Instruction limit
% 14.06/2.45  % (1985405)Termination phase: Saturation
% 14.06/2.45  % (1985405)Time elapsed: 0.059 s
% 14.06/2.45  % (1985405)Peak memory usage: 12 MB
% 14.06/2.45  % (1985405)Instructions burned: 103 (million)
% 14.06/2.45  % TRYING [5]
% 14.06/2.45  % (1985407)Instruction limit reached! 
% 14.06/2.45  % (1985407)------------------------------
% 14.06/2.45  % (1985407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.45  % (1985407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.45  % (1985407)CaDiCaL version: 2.1.3
% 14.06/2.45  % (1985407)Termination reason: Instruction limit
% 14.06/2.45  % (1985407)Termination phase: Saturation
% 14.06/2.45  % (1985407)Time elapsed: 0.068 s
% 14.06/2.45  % (1985407)Peak memory usage: 12 MB
% 14.06/2.45  % (1985407)Instructions burned: 131 (million)
% 14.06/2.45  % (1985418)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=401963962:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.06/2.45  % (1985419)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=4056921918:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.06/2.45  % (1985408)Instruction limit reached! 
% 14.06/2.45  % (1985408)------------------------------
% 14.06/2.45  % (1985408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.45  % (1985408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.45  % (1985408)CaDiCaL version: 2.1.3
% 14.06/2.45  % (1985408)Termination reason: Instruction limit
% 14.06/2.45  % (1985408)Termination phase: Saturation
% 14.06/2.45  % (1985408)Time elapsed: 0.091 s
% 14.06/2.45  % (1985408)Peak memory usage: 15 MB
% 14.06/2.45  % (1985408)Instructions burned: 159 (million)
% 14.06/2.45  % TRYING [6]
% 14.06/2.45  % (1985422)ott-21_1_sil=16000:fs=off:random_seed=334465504:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.06/2.45  % TRYING [6]
% 14.06/2.45  % (1985418)Instruction limit reached! 
% 33.95/5.25  % (1985418)------------------------------
% 33.95/5.25  % (1985418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.95/5.25  % (1985418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.95/5.25  % (1985418)CaDiCaL version: 2.1.3
% 33.95/5.25  % (1985418)Termination reason: Instruction limit
% 33.95/5.25  % (1985418)Termination phase: Saturation
% 33.95/5.25  % (1985418)Time elapsed: 0.067 s
% 33.95/5.25  % (1985418)Peak memory usage: 12 MB
% 33.95/5.25  % (1985418)Instructions burned: 132 (million)
% 33.95/5.25  % (1985424)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3684554909:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 33.95/5.25  % (1985416)Instruction limit reached! 
% 33.95/5.25  % (1985416)------------------------------
% 33.95/5.25  % (1985416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.95/5.25  % (1985416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.95/5.25  % (1985416)CaDiCaL version: 2.1.3
% 33.95/5.25  % (1985416)Termination reason: Instruction limit
% 33.95/5.25  % (1985416)Termination phase: Finite model building constraint generation
% 33.95/5.25  % (1985416)Time elapsed: 0.139 s
% 33.95/5.25  % (1985416)Peak memory usage: 35 MB
% 33.95/5.25  % (1985416)Instructions burned: 714 (million)
% 33.95/5.25  % (1985426)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=989537642:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.95/5.25  % Detected minimum model sizes of [3]
% 33.95/5.25  % Detected maximum model sizes of [max]
% 33.95/5.25  % TRYING [3]
% 33.95/5.25  % (1985422)Instruction limit reached! 
% 33.95/5.25  % (1985422)------------------------------
% 33.95/5.25  % (1985422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.95/5.25  % (1985422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.95/5.25  % (1985422)CaDiCaL version: 2.1.3
% 33.95/5.25  % (1985422)Termination reason: Instruction limit
% 33.95/5.25  % (1985422)Termination phase: Saturation
% 33.95/5.25  % (1985422)Time elapsed: 0.091 s
% 33.95/5.25  % (1985422)Peak memory usage: 13 MB
% 33.95/5.25  % (1985422)Instructions burned: 182 (million)
% 33.95/5.25  % TRYING [4]
% 33.95/5.25  % (1985428)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=792155909:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.95/5.25  % TRYING [5]
% 33.95/5.25  % TRYING [7]
% 33.95/5.25  % (1985426)Instruction limit reached! 
% 33.95/5.25  % (1985426)------------------------------
% 33.95/5.25  % (1985426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.95/5.25  % (1985426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.95/5.25  % (1985426)CaDiCaL version: 2.1.3
% 33.95/5.25  % (1985426)Termination reason: Instruction limit
% 33.95/5.25  % (1985426)Termination phase: Finite model building SAT solving
% 33.95/5.25  % (1985426)Time elapsed: 0.186 s
% 33.95/5.25  % (1985426)Peak memory usage: 22 MB
% 33.95/5.25  % (1985426)Instructions burned: 866 (million)
% 33.95/5.25  % (1985430)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1913081465:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.95/5.25  % (1985419)Instruction limit reached! 
% 33.95/5.25  % (1985419)------------------------------
% 33.95/5.25  % (1985419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.95/5.25  % (1985419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.95/5.25  % (1985419)CaDiCaL version: 2.1.3
% 33.95/5.25  % (1985419)Termination reason: Instruction limit
% 33.95/5.25  % (1985419)Termination phase: Saturation
% 33.95/5.25  % (1985419)Time elapsed: 0.368 s
% 33.95/5.25  % (1985419)Peak memory usage: 20 MB
% 33.95/5.25  % (1985419)Instructions burned: 686 (million)
% 33.95/5.25  % (1985432)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=1472142173:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 33.95/5.25  % (1985424)Instruction limit reached! 
% 33.95/5.25  % (1985424)------------------------------
% 33.95/5.25  % (1985424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.95/5.25  % (1985424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.95/5.25  % (1985424)CaDiCaL version: 2.1.3
% 33.95/5.25  % (1985424)Termination reason: Instruction limit
% 33.95/5.25  % (1985424)Termination phase: Saturation
% 33.95/5.25  % (1985424)Time elapsed: 0.314 s
% 33.95/5.25  % (1985424)Peak memory usage: 14 MB
% 33.95/5.25  % (1985424)Instructions burned: 477 (million)
% 33.95/5.25  % TRYING [14]
% 33.95/5.25  % (1985434)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=510213755:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 57.34/8.59  % (1985430)Instruction limit reached! 
% 57.34/8.59  % (1985430)------------------------------
% 57.34/8.59  % (1985430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.34/8.59  % (1985430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/8.59  % (1985430)CaDiCaL version: 2.1.3
% 57.34/8.59  % (1985430)Termination reason: Instruction limit
% 57.34/8.59  % (1985430)Termination phase: Finite model building constraint generation
% 57.34/8.59  % (1985430)Time elapsed: 0.191 s
% 57.34/8.59  % (1985430)Peak memory usage: 81 MB
% 57.34/8.59  % (1985430)Instructions burned: 892 (million)
% 57.34/8.59  % (1985436)fmb+10_1_sil=64000:random_seed=2505874646:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 57.34/8.59  % Detected minimum model sizes of [3]
% 57.34/8.59  % Detected maximum model sizes of [max]
% 57.34/8.59  % TRYING [3]
% 57.34/8.59  % TRYING [4]
% 57.34/8.59  % TRYING [5]
% 57.34/8.59  % TRYING [8]
% 57.34/8.59  % TRYING [6]
% 57.34/8.59  % (1985432)Instruction limit reached! 
% 57.34/8.59  % (1985432)------------------------------
% 57.34/8.59  % (1985432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.34/8.59  % (1985432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/8.59  % (1985432)CaDiCaL version: 2.1.3
% 57.34/8.59  % (1985432)Termination reason: Instruction limit
% 57.34/8.59  % (1985432)Termination phase: Saturation
% 57.34/8.59  % (1985432)Time elapsed: 0.380 s
% 57.34/8.59  % (1985432)Peak memory usage: 20 MB
% 57.34/8.59  % (1985432)Instructions burned: 694 (million)
% 57.34/8.59  % (1985428)Instruction limit reached! 
% 57.34/8.59  % (1985428)------------------------------
% 57.34/8.59  % (1985428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.34/8.59  % (1985428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/8.59  % (1985428)CaDiCaL version: 2.1.3
% 57.34/8.59  % (1985428)Termination reason: Instruction limit
% 57.34/8.59  % (1985428)Termination phase: Saturation
% 57.34/8.59  % (1985428)Time elapsed: 0.645 s
% 57.34/8.59  % (1985428)Peak memory usage: 22 MB
% 57.34/8.59  % (1985428)Instructions burned: 1180 (million)
% 57.34/8.59  % (1985438)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2457946661:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 57.34/8.59  % Detected minimum model sizes of [3]
% 57.34/8.59  % Detected maximum model sizes of [max]
% 57.34/8.59  % TRYING [20]
% 57.34/8.59  % (1985439)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=439140782:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 57.34/8.59  % Detected minimum model sizes of [3]
% 57.34/8.59  % Detected maximum model sizes of [max]
% 57.34/8.59  % TRYING [8]
% 57.34/8.59  % (1985434)Instruction limit reached! 
% 57.34/8.59  % (1985434)------------------------------
% 57.34/8.59  % (1985434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.34/8.59  % (1985434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/8.59  % (1985434)CaDiCaL version: 2.1.3
% 57.34/8.59  % (1985434)Termination reason: Instruction limit
% 57.34/8.59  % (1985434)Termination phase: Saturation
% 57.34/8.59  % (1985434)Time elapsed: 0.493 s
% 57.34/8.59  % (1985434)Peak memory usage: 20 MB
% 57.34/8.59  % (1985434)Instructions burned: 880 (million)
% 57.34/8.59  % (1985443)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1002857804:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 57.34/8.59  % TRYING [7]
% 57.34/8.59  % (1985439)Instruction limit reached! 
% 57.34/8.59  % (1985439)------------------------------
% 57.34/8.59  % (1985439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.34/8.59  % (1985439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/8.59  % (1985439)CaDiCaL version: 2.1.3
% 57.34/8.59  % (1985439)Termination reason: Instruction limit
% 57.34/8.59  % (1985439)Termination phase: Finite model building constraint generation
% 57.34/8.59  % (1985439)Time elapsed: 0.338 s
% 57.34/8.59  % (1985439)Peak memory usage: 66 MB
% 57.34/8.59  % (1985439)Instructions burned: 921 (million)
% 57.34/8.59  % (1985445)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3873603425:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 57.34/8.59  % TRYING [9]
% 57.34/8.59  % TRYING [8]
% 57.34/8.59  % (1985445)Instruction limit reached! 
% 57.34/8.59  % (1985445)------------------------------
% 57.34/8.59  % (1985445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.34/8.59  % (1985445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.67/28.35  % (1985445)CaDiCaL version: 2.1.3
% 197.67/28.35  % (1985445)Termination reason: Instruction limit
% 197.67/28.35  % (1985445)Termination phase: Saturation
% 197.67/28.35  % (1985445)Time elapsed: 0.747 s
% 197.67/28.35  % (1985445)Peak memory usage: 33 MB
% 197.67/28.35  % (1985445)Instructions burned: 1474 (million)
% 197.67/28.35  % (1985447)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3168378903:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 197.67/28.35  % Detected minimum model sizes of [3]
% 197.67/28.35  % Detected maximum model sizes of [max]
% 197.67/28.35  % TRYING [77]
% 197.67/28.35  % TRYING [10]
% 197.67/28.35  % (1985443)Instruction limit reached! 
% 197.67/28.35  % (1985443)------------------------------
% 197.67/28.35  % (1985443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.67/28.35  % (1985443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.67/28.35  % (1985443)CaDiCaL version: 2.1.3
% 197.67/28.35  % (1985443)Termination reason: Instruction limit
% 197.67/28.35  % (1985443)Termination phase: Saturation
% 197.67/28.35  % (1985443)Time elapsed: 2.661 s
% 197.67/28.35  % (1985443)Peak memory usage: 43 MB
% 197.67/28.35  % (1985443)Instructions burned: 5132 (million)
% 197.67/28.35  % (1985449)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3311665166:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 197.67/28.35  % Detected minimum model sizes of [3]
% 197.67/28.35  % Detected maximum model sizes of [max]
% 197.67/28.35  % TRYING [16]
% 197.67/28.35  % TRYING [9]
% 197.67/28.35  % (1985438)Instruction limit reached! 
% 197.67/28.35  % (1985438)------------------------------
% 197.67/28.35  % (1985438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.67/28.35  % (1985438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.67/28.35  % (1985438)CaDiCaL version: 2.1.3
% 197.67/28.35  % (1985438)Termination reason: Instruction limit
% 197.67/28.35  % (1985438)Termination phase: Finite model building constraint generation
% 197.67/28.35  % (1985438)Time elapsed: 3.345 s
% 197.67/28.35  % (1985438)Peak memory usage: 565 MB
% 197.67/28.35  % (1985438)Instructions burned: 9516 (million)
% 197.67/28.35  % (1985447)Instruction limit reached! 
% 197.67/28.35  % (1985447)------------------------------
% 197.67/28.35  % (1985447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.67/28.35  % (1985447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.67/28.35  % (1985447)CaDiCaL version: 2.1.3
% 197.67/28.35  % (1985447)Termination reason: Instruction limit
% 197.67/28.35  % (1985447)Termination phase: Finite model building constraint generation
% 197.67/28.35  % (1985447)Time elapsed: 2.262 s
% 197.67/28.35  % (1985447)Peak memory usage: 440 MB
% 197.67/28.35  % (1985447)Instructions burned: 6324 (million)
% 197.67/28.35  % (1985451)ott-2_1_sil=16000:newcnf=on:random_seed=2575115556:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 197.67/28.35  % (1985453)ott+10_1_sil=32000:tgt=ground:random_seed=4034765349:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 197.67/28.35  % (1985449)Instruction limit reached! 
% 197.67/28.35  % (1985449)------------------------------
% 197.67/28.35  % (1985449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.67/28.35  % (1985449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.67/28.35  % (1985449)CaDiCaL version: 2.1.3
% 197.67/28.35  % (1985449)Termination reason: Instruction limit
% 197.67/28.35  % (1985449)Termination phase: Finite model building constraint generation
% 197.67/28.35  % (1985449)Time elapsed: 0.760 s
% 197.67/28.35  % (1985449)Peak memory usage: 146 MB
% 197.67/28.35  % (1985449)Instructions burned: 2176 (million)
% 197.67/28.35  % (1985455)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3283199693:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 197.67/28.35  % Detected minimum model sizes of [3]
% 197.67/28.35  % Detected maximum model sizes of [max]
% 197.67/28.35  % TRYING [3]
% 197.67/28.35  % TRYING [4]
% 197.67/28.35  % TRYING [5]
% 197.67/28.35  % TRYING [6]
% 197.67/28.35  % (1985451)Instruction limit reached! 
% 197.67/28.35  % (1985451)------------------------------
% 197.67/28.35  % (1985451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.67/28.35  % (1985451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.67/28.35  % (1985451)CaDiCaL version: 2.1.3
% 197.67/28.35  % (1985451)Termination reason: Instruction limit
% 197.67/28.35  % (1985451)Termination phase: Saturation
% 197.67/28.35  % (1985451)Time elapsed: 0.460 s
% 197.67/28.35  % (1985451)Peak memory usage: 23 MB
% 197.67/28.35  % (1985451)Instructions burned: 870 (million)
% 197.67/28.35  % (1985457)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1254182872:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 141.61/40.89  % TRYING [7]
% 141.61/40.89  % TRYING [8]
% 141.61/40.89  % (1985436)Instruction limit reached! 
% 141.61/40.89  % (1985436)------------------------------
% 141.61/40.89  % (1985436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985436)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985436)Termination reason: Instruction limit
% 141.61/40.89  % (1985436)Termination phase: Finite model building SAT solving
% 141.61/40.89  % (1985436)Time elapsed: 4.777 s
% 141.61/40.89  % (1985436)Peak memory usage: 158 MB
% 141.61/40.89  % (1985436)Instructions burned: 22063 (million)
% 141.61/40.89  % (1985459)dis+21_1_sil=32000:sas=cadical:random_seed=1669772239:i=3773:amm=off_2945 on theBenchmark for (2945ds/3773Mi)
% 141.61/40.89  % TRYING [9]
% 141.61/40.89  % TRYING [11]
% 141.61/40.89  % (1985459)Instruction limit reached! 
% 141.61/40.89  % (1985459)------------------------------
% 141.61/40.89  % (1985459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985459)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985459)Termination reason: Instruction limit
% 141.61/40.89  % (1985459)Termination phase: Saturation
% 141.61/40.89  % (1985459)Time elapsed: 1.074 s
% 141.61/40.89  % (1985459)Peak memory usage: 45 MB
% 141.61/40.89  % (1985459)Instructions burned: 3775 (million)
% 141.61/40.89  % (1985461)ott+11_1_sil=16000:gs=on:random_seed=3131179952:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2934 on theBenchmark for (2934ds/2251Mi)
% 141.61/40.89  % (1985457)Instruction limit reached! 
% 141.61/40.89  % (1985457)------------------------------
% 141.61/40.89  % (1985457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985457)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985457)Termination reason: Instruction limit
% 141.61/40.89  % (1985457)Termination phase: Saturation
% 141.61/40.89  % (1985457)Time elapsed: 1.829 s
% 141.61/40.89  % (1985457)Peak memory usage: 37 MB
% 141.61/40.89  % (1985457)Instructions burned: 3514 (million)
% 141.61/40.89  % (1985463)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=148581505:fmbsr=1.6:i=67534_2933 on theBenchmark for (2933ds/67534Mi)
% 141.61/40.89  % Detected minimum model sizes of [3]
% 141.61/40.89  % Detected maximum model sizes of [max]
% 141.61/40.89  % TRYING [7]
% 141.61/40.89  % (1985461)Instruction limit reached! 
% 141.61/40.89  % (1985461)------------------------------
% 141.61/40.89  % (1985461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985461)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985461)Termination reason: Instruction limit
% 141.61/40.89  % (1985461)Termination phase: Saturation
% 141.61/40.89  % (1985461)Time elapsed: 0.518 s
% 141.61/40.89  % (1985461)Peak memory usage: 17 MB
% 141.61/40.89  % (1985461)Instructions burned: 2253 (million)
% 141.61/40.89  % (1985465)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1005232773:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2929 on theBenchmark for (2929ds/4591Mi)
% 141.61/40.89  % (1985453)Instruction limit reached! 
% 141.61/40.89  % (1985453)------------------------------
% 141.61/40.89  % (1985453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985453)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985453)Termination reason: Instruction limit
% 141.61/40.89  % (1985453)Termination phase: Saturation
% 141.61/40.89  % (1985453)Time elapsed: 2.924 s
% 141.61/40.89  % (1985453)Peak memory usage: 45 MB
% 141.61/40.89  % (1985453)Instructions burned: 5114 (million)
% 141.61/40.89  % (1985467)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=985261041:i=29340_2926 on theBenchmark for (2926ds/29340Mi)
% 141.61/40.89  % TRYING [10]
% 141.61/40.89  % (1985465)Instruction limit reached! 
% 141.61/40.89  % (1985465)------------------------------
% 141.61/40.89  % (1985465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985465)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985465)Termination reason: Instruction limit
% 141.61/40.89  % (1985465)Termination phase: Saturation
% 141.61/40.89  % (1985465)Time elapsed: 1.113 s
% 141.61/40.89  % (1985465)Peak memory usage: 75 MB
% 141.61/40.89  % (1985465)Instructions burned: 4596 (million)
% 141.61/40.89  % (1985469)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2703880069:i=5211_2918 on theBenchmark for (2918ds/5211Mi)
% 141.61/40.89  % TRYING [8]
% 141.61/40.89  % (1985469)Instruction limit reached! 
% 141.61/40.89  % (1985469)------------------------------
% 141.61/40.89  % (1985469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985469)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985469)Termination reason: Instruction limit
% 141.61/40.89  % (1985469)Termination phase: Saturation
% 141.61/40.89  % (1985469)Time elapsed: 1.443 s
% 141.61/40.89  % (1985469)Peak memory usage: 53 MB
% 141.61/40.89  % (1985469)Instructions burned: 5215 (million)
% 141.61/40.89  % (1985471)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=508090011:i=5497:nm=2_2903 on theBenchmark for (2903ds/5497Mi)
% 141.61/40.89  % Detected minimum model sizes of [3]
% 141.61/40.89  % Detected maximum model sizes of [max]
% 141.61/40.89  % TRYING [17]
% 141.61/40.89  % TRYING [11]
% 141.61/40.89  % (1985471)Instruction limit reached! 
% 141.61/40.89  % (1985471)------------------------------
% 141.61/40.89  % (1985471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985471)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985471)Termination reason: Instruction limit
% 141.61/40.89  % (1985471)Termination phase: Finite model building constraint generation
% 141.61/40.89  % (1985471)Time elapsed: 1.063 s
% 141.61/40.89  % (1985471)Peak memory usage: 330 MB
% 141.61/40.89  % (1985471)Instructions burned: 5502 (million)
% 141.61/40.89  % (1985473)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3563189965:fmbsr=2:i=46332_2892 on theBenchmark for (2892ds/46332Mi)
% 141.61/40.89  % Detected minimum model sizes of [3]
% 141.61/40.89  % Detected maximum model sizes of [max]
% 141.61/40.89  % TRYING [15]
% 141.61/40.89  % TRYING [9]
% 141.61/40.89  % TRYING [12]
% 141.61/40.89  % TRYING [12]
% 141.61/40.89  % TRYING [10]
% 141.61/40.89  % (1985467)Instruction limit reached! 
% 141.61/40.89  % (1985467)------------------------------
% 141.61/40.89  % (1985467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985467)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985467)Termination reason: Instruction limit
% 141.61/40.89  % (1985467)Termination phase: Saturation
% 141.61/40.89  % (1985467)Time elapsed: 13.084 s
% 141.61/40.89  % (1985467)Peak memory usage: 316 MB
% 141.61/40.89  % (1985467)Instructions burned: 29342 (million)
% 141.61/40.89  % (1985475)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=4039182984:i=14071_2795 on theBenchmark for (2795ds/14071Mi)
% 141.61/40.89  % Detected minimum model sizes of [3]
% 141.61/40.89  % Detected maximum model sizes of [max]
% 141.61/40.89  % TRYING [12]
% 141.61/40.89  % TRYING [13]
% 141.61/40.89  % (1985475)Instruction limit reached! 
% 141.61/40.89  % (1985475)------------------------------
% 141.61/40.89  % (1985475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985475)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985475)Termination reason: Instruction limit
% 141.61/40.89  % (1985475)Termination phase: Finite model building SAT solving
% 141.61/40.89  % (1985475)Time elapsed: 6.651 s
% 141.61/40.89  % (1985475)Peak memory usage: 699 MB
% 141.61/40.89  % (1985475)Instructions burned: 14071 (million)
% 141.61/40.89  % (1985477)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3400772626:i=22565:add=on:rawr=on_2727 on theBenchmark for (2727ds/22565Mi)
% 141.61/40.89  % (1985455)Instruction limit reached! 
% 141.61/40.89  % (1985455)------------------------------
% 141.61/40.89  % (1985455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985455)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985455)Termination reason: Instruction limit
% 141.61/40.89  % (1985455)Termination phase: Finite model building constraint generation
% 141.61/40.89  % (1985455)Time elapsed: 23.071 s
% 141.61/40.89  % (1985455)Peak memory usage: 704 MB
% 141.61/40.89  % (1985455)Instructions burned: 54284 (million)
% 141.61/40.89  % (1985479)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3348436029:i=8173:av=off_2722 on theBenchmark for (2722ds/8173Mi)
% 141.61/40.89  % (1985473)Instruction limit reached! 
% 141.61/40.89  % (1985473)------------------------------
% 141.61/40.89  % (1985473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985473)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985473)Termination reason: Instruction limit
% 141.61/40.89  % (1985473)Termination phase: Finite model building SAT solving
% 141.61/40.89  % (1985473)Time elapsed: 17.185 s
% 141.61/40.89  % (1985473)Peak memory usage: 2687 MB
% 141.61/40.89  % (1985473)Instructions burned: 46333 (million)
% 141.61/40.89  % (1985481)dis+10_16:1_sil=16000:random_seed=3696400210:i=9155:fsr=off_2718 on theBenchmark for (2718ds/9155Mi)
% 141.61/40.89  % (1985481)Instruction limit reached! 
% 141.61/40.89  % (1985481)------------------------------
% 141.61/40.89  % (1985481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985481)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985481)Termination reason: Instruction limit
% 141.61/40.89  % (1985481)Termination phase: Saturation
% 141.61/40.89  % (1985481)Time elapsed: 2.363 s
% 141.61/40.89  % (1985481)Peak memory usage: 90 MB
% 141.61/40.89  % (1985481)Instructions burned: 9157 (million)
% 141.61/40.89  % (1985483)ott-3_8_sil=64000:random_seed=673004941:i=20139:bs=on_2694 on theBenchmark for (2694ds/20139Mi)
% 141.61/40.89  % (1985479)Instruction limit reached! 
% 141.61/40.89  % (1985479)------------------------------
% 141.61/40.89  % (1985479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985479)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985479)Termination reason: Instruction limit
% 141.61/40.89  % (1985479)Termination phase: Saturation
% 141.61/40.89  % (1985479)Time elapsed: 3.981 s
% 141.61/40.89  % (1985479)Peak memory usage: 71 MB
% 141.61/40.89  % (1985479)Instructions burned: 8180 (million)
% 141.61/40.89  % (1985485)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1570219366:fmbsr=2:i=32576_2682 on theBenchmark for (2682ds/32576Mi)
% 141.61/40.89  % Detected minimum model sizes of [3]
% 141.61/40.89  % Detected maximum model sizes of [max]
% 141.61/40.89  % TRYING [9]
% 141.61/40.89  % TRYING [11]
% 141.61/40.89  % TRYING [13]
% 141.61/40.89  % TRYING [10]
% 141.61/40.89  % (1985463)Instruction limit reached! 
% 141.61/40.89  % (1985463)------------------------------
% 141.61/40.89  % (1985463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985463)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985463)Termination reason: Instruction limit
% 141.61/40.89  % (1985463)Termination phase: Finite model building constraint generation
% 141.61/40.89  % (1985463)Time elapsed: 26.918 s
% 141.61/40.89  % (1985463)Peak memory usage: 254 MB
% 141.61/40.89  % (1985463)Instructions burned: 67535 (million)
% 141.61/40.89  % (1985487)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=114253695:i=11404_2663 on theBenchmark for (2663ds/11404Mi)
% 141.61/40.89  % TRYING [11]
% 141.61/40.89  % (1985483)Instruction limit reached! 
% 141.61/40.89  % (1985483)------------------------------
% 141.61/40.89  % (1985483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985483)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985483)Termination reason: Instruction limit
% 141.61/40.89  % (1985483)Termination phase: Saturation
% 141.61/40.89  % (1985483)Time elapsed: 6.364 s
% 141.61/40.89  % (1985483)Peak memory usage: 155 MB
% 141.61/40.89  % (1985483)Instructions burned: 20141 (million)
% 141.61/40.89  % (1985489)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3004580397:i=14134_2630 on theBenchmark for (2630ds/14134Mi)
% 141.61/40.89  % (1985487)Instruction limit reached! 
% 141.61/40.89  % (1985487)------------------------------
% 141.61/40.89  % (1985487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985487)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985487)Termination reason: Instruction limit
% 141.61/40.89  % (1985487)Termination phase: Saturation
% 141.61/40.89  % (1985487)Time elapsed: 6.397 s
% 141.61/40.89  % (1985487)Peak memory usage: 85 MB
% 141.61/40.89  % (1985487)Instructions burned: 11405 (million)
% 141.61/40.89  % (1985491)dis+33_16_sil=32000:sac=on:random_seed=1634667500:i=15851:nm=0_2599 on theBenchmark for (2599ds/15851Mi)
% 141.61/40.89  % (1985489) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1985397-1985489"...
% 141.61/40.89  % (1985489)...printing done.
% 141.61/40.89  % (1985489)Refutation found. Thanks to Tanya!
% 141.61/40.89  % SZS status Theorem for theBenchmark
% 141.61/40.89  % SZS output start Proof for theBenchmark
% See solution above
% 141.61/40.89  % (1985489)------------------------------
% 141.61/40.89  % (1985489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 141.61/40.89  % (1985489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.61/40.89  % (1985489)CaDiCaL version: 2.1.3
% 141.61/40.89  % (1985489)Termination reason: Refutation
% 141.61/40.89  % (1985489)Time elapsed: 3.355 s
% 141.61/40.89  % (1985489)Peak memory usage: 83 MB
% 141.61/40.89  % (1985489)Instructions burned: 10569 (million)
% 141.61/40.89  % (1985397)Success in time 40.48 s
% 141.61/40.89  % Vampire exiting
%------------------------------------------------------------------------------