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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM631+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 : n004.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 12:25:05 PM UTC 2026

% Result   : Theorem 21.86s 6.41s
% Output   : Refutation 21.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   66 (  33 unt;   2 def)
%            Number of atoms       :  246 (  84 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  252 (  72   ~;  64   |;  96   &)
%                                         (   6 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  15 con; 0-2 aty)
%            Number of variables   :   53 (  51   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).

fof(f91,axiom,
    ( aFunction0(xe)
    & szDzozmdt0(xe) = szNzAzT0
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
          & ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
             => sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
          & sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).

fof(f92,axiom,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ! [X1] :
            ( ( aSet0(X1)
              & ( ( ( ! [X2] :
                        ( aElementOf0(X2,X1)
                       => aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
                    | aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
                  & sbrdtbr0(X1) = xk )
                | aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
           => sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).

fof(f99,axiom,
    ( aSet0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xO) )
    & aSubsetOf0(xQ,xO)
    & sbrdtbr0(xQ) = xK
    & aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).

fof(f103,axiom,
    ( aElementOf0(xp,xQ)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(xp,X0) )
    & xp = szmzizndt0(xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).

fof(f104,axiom,
    ( aSet0(xP)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(szmzizndt0(xQ),X0) )
    & ! [X0] :
        ( aElementOf0(X0,xP)
      <=> ( aElement0(X0)
          & aElementOf0(X0,xQ)
          & X0 != szmzizndt0(xQ) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).

fof(f105,axiom,
    aElementOf0(xp,xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).

fof(f109,axiom,
    sbrdtbr0(xP) = xk,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5217) ).

fof(f111,axiom,
    ( aElementOf0(xn,szDzozmdt0(xd))
    & sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(xn,szNzAzT0)
    & sdtlpdtrp0(xe,xn) = xp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).

fof(f113,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,xP)
       => aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
    & aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5334) ).

fof(f116,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xn))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
    & aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
    & ! [X0] :
        ( aElementOf0(X0,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
      <=> ( aElement0(X0)
          & ( aElementOf0(X0,xP)
            | X0 = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
    & sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5632) ).

fof(f117,conjecture,
    sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f118,negated_conjecture,
    sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
    inference(negated_conjecture,[status(cth)],[f117]) ).

fof(f140,plain,
    ( aSet0(xP)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(szmzizndt0(xQ),X0) )
    & ! [X1] :
        ( aElementOf0(X1,xP)
      <=> ( aElement0(X1)
          & aElementOf0(X1,xQ)
          & szmzizndt0(xQ) != X1 ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(rectify,[],[f104]) ).

fof(f142,plain,
    ( ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xn))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
    & aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
    & ! [X1] :
        ( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
      <=> ( aElement0(X1)
          & ( aElementOf0(X1,xP)
            | szmzizndt0(sdtlpdtrp0(xN,xn)) = X1 ) ) )
    & sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
    inference(rectify,[],[f116]) ).

fof(f143,plain,
    sdtlpdtrp0(xd,xn) != sdtlpdtrp0(xc,xQ),
    inference(flattening,[],[f118]) ).

fof(f162,plain,
    ! [X0] :
      ( ! [X1] :
          ( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f266,plain,
    ( aFunction0(xe)
    & szDzozmdt0(xe) = szNzAzT0
    & ! [X0] :
        ( ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
          & ! [X1] :
              ( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
              | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
          & sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f267,plain,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
            | ~ aSet0(X1)
            | ( ( ( ? [X2] :
                      ( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
                      & aElementOf0(X2,X1) )
                  & ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
                | sbrdtbr0(X1) != xk )
              & ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f268,plain,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
            | ~ aSet0(X1)
            | ( ( ( ? [X2] :
                      ( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
                      & aElementOf0(X2,X1) )
                  & ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
                | sbrdtbr0(X1) != xk )
              & ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(flattening,[],[f267]) ).

fof(f272,plain,
    ( aSet0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,xO)
        | ~ aElementOf0(X0,xQ) )
    & aSubsetOf0(xQ,xO)
    & sbrdtbr0(xQ) = xK
    & aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f277,plain,
    ( aElementOf0(xp,xQ)
    & ! [X0] :
        ( sdtlseqdt0(xp,X0)
        | ~ aElementOf0(X0,xQ) )
    & xp = szmzizndt0(xQ) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f278,plain,
    ( aSet0(xP)
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(xQ),X0)
        | ~ aElementOf0(X0,xQ) )
    & ! [X1] :
        ( aElementOf0(X1,xP)
      <=> ( aElement0(X1)
          & aElementOf0(X1,xQ)
          & szmzizndt0(xQ) != X1 ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(ennf_transformation,[],[f140]) ).

fof(f281,plain,
    ( ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
        | ~ aElementOf0(X0,xP) )
    & aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f284,plain,
    ( ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
    & aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
    & ! [X1] :
        ( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
      <=> ( aElement0(X1)
          & ( aElementOf0(X1,xP)
            | szmzizndt0(sdtlpdtrp0(xN,xn)) = X1 ) ) )
    & sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
    inference(ennf_transformation,[],[f142]) ).

fof(f453,plain,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
            | ~ aSet0(X1)
            | ( ( ( ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
                  & aElementOf0(sK67(X0,X1),X1)
                  & ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
                | sbrdtbr0(X1) != xk )
              & ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X0,X1))],[f268]) ).

fof(f466,plain,
    ( aSet0(xP)
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(xQ),X0)
        | ~ aElementOf0(X0,xQ) )
    & ! [X1] :
        ( ( aElementOf0(X1,xP)
          | ~ aElement0(X1)
          | ~ aElementOf0(X1,xQ)
          | szmzizndt0(xQ) = X1 )
        & ( ( aElement0(X1)
            & aElementOf0(X1,xQ)
            & szmzizndt0(xQ) != X1 )
          | ~ aElementOf0(X1,xP) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(nnf_transformation,[],[f278]) ).

fof(f467,plain,
    ( aSet0(xP)
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(xQ),X0)
        | ~ aElementOf0(X0,xQ) )
    & ! [X1] :
        ( ( aElementOf0(X1,xP)
          | ~ aElement0(X1)
          | ~ aElementOf0(X1,xQ)
          | szmzizndt0(xQ) = X1 )
        & ( ( aElement0(X1)
            & aElementOf0(X1,xQ)
            & szmzizndt0(xQ) != X1 )
          | ~ aElementOf0(X1,xP) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(flattening,[],[f466]) ).

fof(f471,plain,
    ( ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
    & aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
    & ! [X1] :
        ( ( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
          | ~ aElement0(X1)
          | ( ~ aElementOf0(X1,xP)
            & szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
        & ( ( aElement0(X1)
            & ( aElementOf0(X1,xP)
              | szmzizndt0(sdtlpdtrp0(xN,xn)) = X1 ) )
          | ~ aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) ) )
    & sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
    inference(nnf_transformation,[],[f284]) ).

fof(f472,plain,
    ( ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
    & aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
    & ! [X1] :
        ( ( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
          | ~ aElement0(X1)
          | ( ~ aElementOf0(X1,xP)
            & szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
        & ( ( aElement0(X1)
            & ( aElementOf0(X1,xP)
              | szmzizndt0(sdtlpdtrp0(xN,xn)) = X1 ) )
          | ~ aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) ) )
    & sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
    inference(flattening,[],[f471]) ).

fof(f512,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | sdtpldt0(sdtmndt0(X0,X1),X1) = X0
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f822,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
    inference(cnf_transformation,[],[f266]) ).

fof(f828,plain,
    ! [X0,X1] :
      ( sbrdtbr0(X1) != xk
      | ~ aSet0(X1)
      | ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
      | sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f453]) ).

fof(f869,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f272]) ).

fof(f880,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f277]) ).

fof(f883,plain,
    xP = sdtmndt0(xQ,szmzizndt0(xQ)),
    inference(cnf_transformation,[],[f467]) ).

fof(f889,plain,
    aSet0(xP),
    inference(cnf_transformation,[],[f467]) ).

fof(f890,plain,
    aElementOf0(xp,xQ),
    inference(cnf_transformation,[],[f105]) ).

fof(f897,plain,
    xk = sbrdtbr0(xP),
    inference(cnf_transformation,[],[f109]) ).

fof(f899,plain,
    xp = sdtlpdtrp0(xe,xn),
    inference(cnf_transformation,[],[f111]) ).

fof(f900,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f111]) ).

fof(f905,plain,
    aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(cnf_transformation,[],[f281]) ).

fof(f917,plain,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    inference(cnf_transformation,[],[f472]) ).

fof(f924,plain,
    sdtlpdtrp0(xd,xn) != sdtlpdtrp0(xc,xQ),
    inference(cnf_transformation,[],[f143]) ).

fof(f986,definition,
    sF73 = sdtlpdtrp0(xd,xn),
    introduced(definition,[new_symbols(definition,[sF73])],[function_definition]) ).

fof(f987,plain,
    sdtlpdtrp0(xd,xn) = sF73,
    inference(reorient_equations,[],[f986]) ).

fof(f988,definition,
    sF74 = sdtlpdtrp0(xc,xQ),
    introduced(definition,[new_symbols(definition,[sF74])],[function_definition]) ).

fof(f989,plain,
    sdtlpdtrp0(xc,xQ) = sF74,
    inference(reorient_equations,[],[f988]) ).

fof(f990,plain,
    sF73 != sF74,
    inference(definition_folding,[],[f924,f989,f987]) ).

fof(f1048,plain,
    xP = sdtmndt0(xQ,xp),
    inference(superposition,[],[f883,f880]) ).

fof(f1749,plain,
    sdtlpdtrp0(xe,xn) = szmzizndt0(sdtlpdtrp0(xN,xn)),
    inference(resolution,[],[f822,f900]) ).

fof(f1762,plain,
    xp = szmzizndt0(sdtlpdtrp0(xN,xn)),
    inference(forward_demodulation,[],[f1749,f899]) ).

fof(f2233,plain,
    ( xQ = sdtpldt0(sdtmndt0(xQ,xp),xp)
    | ~ aSet0(xQ) ),
    inference(resolution,[],[f512,f890]) ).

fof(f2237,plain,
    xQ = sdtpldt0(sdtmndt0(xQ,xp),xp),
    inference(forward_subsumption_resolution,[],[f2233,f869]) ).

fof(f2282,plain,
    xQ = sdtpldt0(xP,xp),
    inference(forward_demodulation,[],[f2237,f1048]) ).

fof(f7494,plain,
    sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xc,sdtpldt0(xP,xp)),
    inference(superposition,[],[f917,f1762]) ).

fof(f7583,plain,
    sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xc,xQ),
    inference(forward_demodulation,[],[f7494,f2282]) ).

fof(f7602,plain,
    sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sF74,
    inference(forward_demodulation,[],[f7583,f989]) ).

fof(f8349,plain,
    ! [X0] :
      ( xk != xk
      | ~ aSet0(xP)
      | ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
      | sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),xP)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(superposition,[],[f828,f897]) ).

fof(f8351,plain,
    ! [X0] :
      ( ~ aSet0(xP)
      | ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
      | sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),xP)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(trivial_inequality_removal,[],[f8349]) ).

fof(f8353,plain,
    ! [X0] :
      ( ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
      | sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),xP)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(forward_subsumption_resolution,[],[f8351,f889]) ).

fof(f56251,plain,
    ( sdtlpdtrp0(xd,xn) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(resolution,[],[f8353,f905]) ).

fof(f56267,plain,
    sdtlpdtrp0(xd,xn) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    inference(forward_subsumption_resolution,[],[f56251,f900]) ).

fof(f56269,plain,
    sdtlpdtrp0(xd,xn) = sF74,
    inference(forward_demodulation,[],[f56267,f7602]) ).

fof(f56271,plain,
    sF73 = sF74,
    inference(forward_demodulation,[],[f56269,f987]) ).

fof(f56273,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f56271,f990]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM631+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.53  % Computer : n004.cluster.edu
% 0.12/0.53  % Model    : x86_64 x86_64
% 0.12/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.53  % Memory   : 8046.5625MB
% 0.12/0.53  % OS       : Linux 6.8.0-71-generic
% 0.12/0.53  % CPULimit : 300
% 0.12/0.53  % WCLimit  : 300
% 0.12/0.53  % DateTime : Sun Sep 27 20:50:55 UTC 2026
% 0.12/0.54  % CPUTime  : 
% 0.12/0.54  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.57  Running first-order model finding
% 0.15/0.57  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
% 15.70/2.88  % (3866667)Will run a generic schedule for satisfiability detection.
% 15.70/2.88  % (3866677)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=425375128:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.70/2.88  % (3866674)% WARNING: option uhcvi not known.
% 15.70/2.88  % (3866673)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1464654011_2999 on theBenchmark for (2999ds/0Mi)
% 15.70/2.88  % (3866676)dis+10_1_sil=32000:sp=arity:random_seed=3168198186:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.70/2.88  % (3866674)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2910936857:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.70/2.88  % (3866675)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1289351287:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.70/2.88  % (3866679)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=64462005:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.70/2.88  % (3866678)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3245915085:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.70/2.88  % (3866677)Instruction limit reached! 
% 15.70/2.88  % (3866677)------------------------------
% 15.70/2.88  % (3866677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.70/2.88  % (3866677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/2.88  % (3866677)CaDiCaL version: 2.1.3
% 15.70/2.88  % (3866677)Termination reason: Instruction limit
% 15.70/2.88  % (3866677)Termination phase: Saturation
% 15.70/2.88  % (3866677)Time elapsed: 0.035 s
% 15.70/2.88  % (3866677)Peak memory usage: 13 MB
% 15.70/2.88  % (3866677)Instructions burned: 117 (million)
% 15.70/2.88  % (3866687)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3859937293:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.70/2.88  % TRYING [1]
% 15.70/2.88  % TRYING [2]
% 15.70/2.88  % TRYING [1]
% 15.70/2.88  % TRYING [2]
% 15.70/2.88  % (3866676)Instruction limit reached! 
% 15.70/2.88  % (3866676)------------------------------
% 15.70/2.88  % (3866676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.70/2.88  % (3866676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/2.88  % (3866676)CaDiCaL version: 2.1.3
% 15.70/2.88  % (3866676)Termination reason: Instruction limit
% 15.70/2.88  % (3866676)Termination phase: Saturation
% 15.70/2.88  % (3866676)Time elapsed: 0.066 s
% 15.70/2.88  % (3866676)Peak memory usage: 13 MB
% 15.70/2.88  % (3866676)Instructions burned: 103 (million)
% 15.70/2.88  % TRYING [3]
% 15.70/2.88  % TRYING [3]
% 15.70/2.88  % (3866678)Instruction limit reached! 
% 15.70/2.88  % (3866678)------------------------------
% 15.70/2.88  % (3866678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.70/2.88  % (3866678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/2.88  % (3866678)CaDiCaL version: 2.1.3
% 15.70/2.88  % (3866678)Termination reason: Instruction limit
% 15.70/2.88  % (3866678)Termination phase: Saturation
% 15.70/2.88  % (3866678)Time elapsed: 0.077 s
% 15.70/2.88  % (3866678)Peak memory usage: 14 MB
% 15.70/2.88  % (3866678)Instructions burned: 131 (million)
% 15.70/2.88  % (3866689)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1627342605:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.70/2.88  % (3866695)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=3024782004:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.70/2.88  % TRYING [4]
% 15.70/2.88  % (3866679)Instruction limit reached! 
% 15.70/2.88  % (3866679)------------------------------
% 15.70/2.88  % (3866679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.70/2.88  % (3866679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/2.88  % (3866679)CaDiCaL version: 2.1.3
% 15.70/2.88  % (3866679)Termination reason: Instruction limit
% 15.70/2.88  % (3866679)Termination phase: Saturation
% 15.70/2.88  % (3866679)Time elapsed: 0.107 s
% 15.70/2.88  % (3866679)Peak memory usage: 15 MB
% 15.70/2.88  % (3866679)Instructions burned: 160 (million)
% 15.70/2.88  % (3866698)ott-21_1_sil=16000:fs=off:random_seed=3311007135:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.70/2.88  % TRYING [4]
% 15.70/2.88  % (3866689)Instruction limit reached! 
% 15.70/2.88  % (3866689)------------------------------
% 15.70/2.88  % (3866689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.70/2.88  % (3866689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.21  % (3866689)CaDiCaL version: 2.1.3
% 39.82/6.21  % (3866689)Termination reason: Instruction limit
% 39.82/6.21  % (3866689)Termination phase: Saturation
% 39.82/6.21  % (3866689)Time elapsed: 0.083 s
% 39.82/6.21  % (3866689)Peak memory usage: 14 MB
% 39.82/6.21  % (3866689)Instructions burned: 132 (million)
% 39.82/6.21  % TRYING [5]
% 39.82/6.21  % (3866687)Instruction limit reached! 
% 39.82/6.21  % (3866687)------------------------------
% 39.82/6.21  % (3866687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.21  % (3866687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.21  % (3866687)CaDiCaL version: 2.1.3
% 39.82/6.21  % (3866687)Termination reason: Instruction limit
% 39.82/6.21  % (3866687)Termination phase: Finite model building constraint generation
% 39.82/6.21  % (3866687)Time elapsed: 0.151 s
% 39.82/6.21  % (3866687)Peak memory usage: 34 MB
% 39.82/6.21  % (3866687)Instructions burned: 719 (million)
% 39.82/6.21  % (3866700)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3286257059:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 39.82/6.21  % (3866702)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=432994054:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 39.82/6.21  % TRYING [1]
% 39.82/6.21  % (3866698)Instruction limit reached! 
% 39.82/6.21  % (3866698)------------------------------
% 39.82/6.21  % (3866698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.21  % (3866698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.21  % (3866698)CaDiCaL version: 2.1.3
% 39.82/6.21  % (3866698)Termination reason: Instruction limit
% 39.82/6.21  % (3866698)Termination phase: Saturation
% 39.82/6.21  % (3866698)Time elapsed: 0.100 s
% 39.82/6.21  % (3866698)Peak memory usage: 13 MB
% 39.82/6.21  % (3866698)Instructions burned: 181 (million)
% 39.82/6.21  % TRYING [2]
% 39.82/6.21  % (3866704)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=412049487:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 39.82/6.21  % TRYING [3]
% 39.82/6.21  % TRYING [5]
% 39.82/6.21  % TRYING [4]
% 39.82/6.21  % (3866702)Instruction limit reached! 
% 39.82/6.21  % (3866702)------------------------------
% 39.82/6.21  % (3866702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.21  % (3866702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.21  % (3866702)CaDiCaL version: 2.1.3
% 39.82/6.21  % (3866702)Termination reason: Instruction limit
% 39.82/6.21  % (3866702)Termination phase: Finite model building constraint generation
% 39.82/6.21  % (3866702)Time elapsed: 0.198 s
% 39.82/6.21  % (3866702)Peak memory usage: 24 MB
% 39.82/6.21  % (3866702)Instructions burned: 869 (million)
% 39.82/6.21  % (3866721)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3365014940:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 39.82/6.21  % (3866695)Instruction limit reached! 
% 39.82/6.21  % (3866695)------------------------------
% 39.82/6.21  % (3866695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.21  % (3866695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.21  % (3866695)CaDiCaL version: 2.1.3
% 39.82/6.21  % (3866695)Termination reason: Instruction limit
% 39.82/6.21  % (3866695)Termination phase: Saturation
% 39.82/6.21  % (3866695)Time elapsed: 0.373 s
% 39.82/6.21  % (3866695)Peak memory usage: 17 MB
% 39.82/6.21  % (3866695)Instructions burned: 684 (million)
% 39.82/6.21  % (3866723)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=1761461056: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)
% 39.82/6.21  % (3866700)Instruction limit reached! 
% 39.82/6.21  % (3866700)------------------------------
% 39.82/6.21  % (3866700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.21  % (3866700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.21  % (3866700)CaDiCaL version: 2.1.3
% 39.82/6.21  % (3866700)Termination reason: Instruction limit
% 39.82/6.21  % (3866700)Termination phase: Saturation
% 39.82/6.21  % (3866700)Time elapsed: 0.328 s
% 39.82/6.21  % (3866700)Peak memory usage: 14 MB
% 39.82/6.21  % (3866700)Instructions burned: 477 (million)
% 39.82/6.21  % (3866725)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2157668067:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 39.82/6.21  % (3866721)Instruction limit reached! 
% 39.82/6.21  % (3866721)------------------------------
% 21.86/6.40  % (3866721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.40  % (3866721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.40  % (3866721)CaDiCaL version: 2.1.3
% 21.86/6.40  % (3866721)Termination reason: Instruction limit
% 21.86/6.40  % (3866721)Termination phase: Finite model building constraint generation
% 21.86/6.40  % (3866721)Time elapsed: 0.239 s
% 21.86/6.40  % (3866721)Peak memory usage: 101 MB
% 21.86/6.40  % (3866721)Instructions burned: 893 (million)
% 21.86/6.40  % (3866754)fmb+10_1_sil=64000:random_seed=3487927117:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 21.86/6.40  % TRYING [1]
% 21.86/6.40  % TRYING [2]
% 21.86/6.40  % TRYING [3]
% 21.86/6.40  % TRYING [4]
% 21.86/6.40  % TRYING [6]
% 21.86/6.40  % (3866723)Instruction limit reached! 
% 21.86/6.40  % (3866723)------------------------------
% 21.86/6.40  % (3866723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.40  % (3866723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.40  % (3866723)CaDiCaL version: 2.1.3
% 21.86/6.40  % (3866723)Termination reason: Instruction limit
% 21.86/6.40  % (3866723)Termination phase: Saturation
% 21.86/6.40  % (3866723)Time elapsed: 0.457 s
% 21.86/6.40  % (3866723)Peak memory usage: 20 MB
% 21.86/6.40  % (3866723)Instructions burned: 693 (million)
% 21.86/6.40  % (3866756)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=753416298:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 21.86/6.40  % (3866704)Instruction limit reached! 
% 21.86/6.40  % (3866704)------------------------------
% 21.86/6.40  % (3866704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.40  % (3866704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.40  % (3866704)CaDiCaL version: 2.1.3
% 21.86/6.40  % (3866704)Termination reason: Instruction limit
% 21.86/6.40  % (3866704)Termination phase: Saturation
% 21.86/6.40  % (3866704)Time elapsed: 0.739 s
% 21.86/6.40  % (3866704)Peak memory usage: 26 MB
% 21.86/6.40  % (3866704)Instructions burned: 1180 (million)
% 21.86/6.40  % TRYING [5]
% 21.86/6.40  % (3866758)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2969745012:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 21.86/6.40  % TRYING [20]
% 21.86/6.40  % (3866725)Instruction limit reached! 
% 21.86/6.40  % (3866725)------------------------------
% 21.86/6.40  % (3866725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.40  % (3866725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.40  % (3866725)CaDiCaL version: 2.1.3
% 21.86/6.40  % (3866725)Termination reason: Instruction limit
% 21.86/6.40  % (3866725)Termination phase: Saturation
% 21.86/6.40  % (3866725)Time elapsed: 0.494 s
% 21.86/6.40  % (3866725)Peak memory usage: 21 MB
% 21.86/6.40  % (3866725)Instructions burned: 879 (million)
% 21.86/6.40  % (3866760)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2334866073:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 21.86/6.40  % TRYING [8]
% 21.86/6.40  % (3866758)Instruction limit reached! 
% 21.86/6.40  % (3866758)------------------------------
% 21.86/6.40  % (3866758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.40  % (3866758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.40  % (3866758)CaDiCaL version: 2.1.3
% 21.86/6.40  % (3866758)Termination reason: Instruction limit
% 21.86/6.40  % (3866758)Termination phase: Finite model building constraint generation
% 21.86/6.41  % (3866758)Time elapsed: 0.328 s
% 21.86/6.41  % (3866758)Peak memory usage: 63 MB
% 21.86/6.41  % (3866758)Instructions burned: 922 (million)
% 21.86/6.41  % (3866762)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1308302529:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 21.86/6.41  % TRYING [6]
% 21.86/6.41  % (3866762)Instruction limit reached! 
% 21.86/6.41  % (3866762)------------------------------
% 21.86/6.41  % (3866762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.41  % (3866762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.41  % (3866762)CaDiCaL version: 2.1.3
% 21.86/6.41  % (3866762)Termination reason: Instruction limit
% 21.86/6.41  % (3866762)Termination phase: Saturation
% 21.86/6.41  % (3866762)Time elapsed: 0.824 s
% 21.86/6.41  % (3866762)Peak memory usage: 31 MB
% 21.86/6.41  % (3866762)Instructions burned: 1473 (million)
% 21.86/6.41  % (3866764)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2116647312:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 21.86/6.41  % (3866764)Cannot represent all propositional literals internally
% 21.86/6.41  % (3866764)Refutation not found, incomplete strategy
% 21.86/6.41  % (3866764)------------------------------
% 21.86/6.41  % (3866764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.41  % (3866764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.41  % (3866764)CaDiCaL version: 2.1.3
% 21.86/6.41  % (3866764)Termination reason: Refutation not found, incomplete strategy
% 21.86/6.41  % (3866764)Time elapsed: 0.054 s
% 21.86/6.41  % (3866764)Peak memory usage: 13 MB
% 21.86/6.41  % (3866764)Instructions burned: 112 (million)
% 21.86/6.41  % (3866764)------------------------------
% 21.86/6.41  % (3866764)------------------------------
% 21.86/6.41  % (3866766)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2756810938:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 21.86/6.41  % TRYING [7]
% 21.86/6.41  % TRYING [16]
% 21.86/6.41  % TRYING [7]
% 21.86/6.41  % (3866766)Instruction limit reached! 
% 21.86/6.41  % (3866766)------------------------------
% 21.86/6.41  % (3866766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.41  % (3866766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.41  % (3866766)CaDiCaL version: 2.1.3
% 21.86/6.41  % (3866766)Termination reason: Instruction limit
% 21.86/6.41  % (3866766)Termination phase: Finite model building constraint generation
% 21.86/6.41  % (3866766)Time elapsed: 0.806 s
% 21.86/6.41  % (3866766)Peak memory usage: 125 MB
% 21.86/6.41  % (3866766)Instructions burned: 2174 (million)
% 21.86/6.41  % (3866768)ott-2_1_sil=16000:newcnf=on:random_seed=4194608136:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2968 on theBenchmark for (2968ds/869Mi)
% 21.86/6.41  % (3866768)Instruction limit reached! 
% 21.86/6.41  % (3866768)------------------------------
% 21.86/6.41  % (3866768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.41  % (3866768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.41  % (3866768)CaDiCaL version: 2.1.3
% 21.86/6.41  % (3866768)Termination reason: Instruction limit
% 21.86/6.41  % (3866768)Termination phase: Saturation
% 21.86/6.41  % (3866768)Time elapsed: 0.522 s
% 21.86/6.41  % (3866768)Peak memory usage: 23 MB
% 21.86/6.41  % (3866768)Instructions burned: 871 (million)
% 21.86/6.41  % (3866770)ott+10_1_sil=32000:tgt=ground:random_seed=2776223951:i=5114:av=off_2963 on theBenchmark for (2963ds/5114Mi)
% 21.86/6.41  % (3866760)Instruction limit reached! 
% 21.86/6.41  % (3866760)------------------------------
% 21.86/6.41  % (3866760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.41  % (3866760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.41  % (3866760)CaDiCaL version: 2.1.3
% 21.86/6.41  % (3866760)Termination reason: Instruction limit
% 21.86/6.41  % (3866760)Termination phase: Saturation
% 21.86/6.41  % (3866760)Time elapsed: 3.039 s
% 21.86/6.41  % (3866760)Peak memory usage: 40 MB
% 21.86/6.41  % (3866760)Instructions burned: 5132 (million)
% 21.86/6.41  % (3866772)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=400215494:i=54282_2958 on theBenchmark for (2958ds/54282Mi)
% 21.86/6.41  % TRYING [1]
% 21.86/6.41  % TRYING [2]
% 21.86/6.41  % TRYING [3]
% 21.86/6.41  % (3866756)Instruction limit reached! 
% 21.86/6.41  % (3866756)------------------------------
% 21.86/6.41  % (3866756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.41  % (3866756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.41  % (3866756)CaDiCaL version: 2.1.3
% 21.86/6.41  % (3866756)Termination reason: Instruction limit
% 21.86/6.41  % (3866756)Termination phase: Finite model building constraint generation
% 21.86/6.41  % (3866756)Time elapsed: 3.288 s
% 21.86/6.41  % (3866756)Peak memory usage: 593 MB
% 21.86/6.41  % (3866756)Instructions burned: 9515 (million)
% 21.86/6.41  % TRYING [4]
% 21.86/6.41  % (3866774)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1334325499:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 21.86/6.41  % TRYING [5]
% 21.86/6.41  % TRYING [6]
% 21.86/6.41  % (3866754)Instruction limit reached! 
% 21.86/6.41  % (3866754)------------------------------
% 21.86/6.41  % (3866754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.41  % (3866754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.41  % (3866754)CaDiCaL version: 2.1.3
% 21.86/6.41  % (3866754)Termination reason: Instruction limit
% 21.86/6.41  % (3866754)Termination phase: Finite model building SAT solving
% 21.86/6.41  % (3866754)Time elapsed: 4.923 s
% 21.86/6.41  % (3866754)Peak memory usage: 178 MB
% 21.86/6.41  % (3866754)Instructions burned: 22063 (million)
% 21.86/6.41  % (3866776)dis+21_1_sil=32000:sas=cadical:random_seed=3301125613:i=3773:amm=off_2943 on theBenchmark for (2943ds/3773Mi)
% 21.86/6.41  % (3866770) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3866667-3866770"...
% 21.86/6.41  % (3866770)...printing done.
% 21.86/6.41  % (3866770)Refutation found. Thanks to Tanya!
% 21.86/6.41  % SZS status Theorem for theBenchmark
% 21.86/6.41  % SZS output start Proof for theBenchmark
% See solution above
% 21.86/6.41  % (3866770)------------------------------
% 21.86/6.41  % (3866770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/6.41  % (3866770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/6.41  % (3866770)CaDiCaL version: 2.1.3
% 21.86/6.41  % (3866770)Termination reason: Refutation
% 21.86/6.41  % (3866770)Time elapsed: 2.054 s
% 21.86/6.41  % (3866770)Peak memory usage: 45 MB
% 21.86/6.41  % (3866770)Instructions burned: 3355 (million)
% 21.86/6.41  % (3866667)Success in time 5.826 s
% 21.86/6.41  % Vampire exiting
%------------------------------------------------------------------------------