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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM544+2 : 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 : n016.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 12:24:45 PM UTC 2026

% Result   : Theorem 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   84 (  20 unt;   5 def)
%            Number of atoms       :  275 (  25 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  284 (  93   ~; 105   |;  45   &)
%                                         (  20 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :   67 (   0 sgn  60   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
        & szszuzczcdt0(X0) != sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X0,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( sdtlseqdt0(X0,X1)
      <=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).

fof(f48,axiom,
    ! [X0] :
      ( ( aSubsetOf0(X0,szNzAzT0)
        & isFinite0(X0)
        & X0 != slcrc0 )
     => ! [X1] :
          ( X1 = szmzazxdt0(X0)
        <=> ( aElementOf0(X1,X0)
            & ! [X2] :
                ( aElementOf0(X2,X0)
               => sdtlseqdt0(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).

fof(f50,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ! [X1] :
          ( X1 = slbdtrb0(X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ( aElementOf0(X2,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).

fof(f55,axiom,
    ( aSet0(xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
       => aElementOf0(X0,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).

fof(f56,conjecture,
    ( ~ ( ~ ? [X0] : aElementOf0(X0,xS)
        | xS = slcrc0 )
   => ( ( aElementOf0(szmzazxdt0(xS),xS)
        & ! [X0] :
            ( aElementOf0(X0,xS)
           => sdtlseqdt0(X0,szmzazxdt0(xS)) ) )
     => ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
          & ! [X0] :
              ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
            <=> ( aElementOf0(X0,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
       => ( ! [X0] :
              ( aElementOf0(X0,xS)
             => aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
          | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f57,negated_conjecture,
    ~ ( ~ ( ~ ? [X0] : aElementOf0(X0,xS)
          | xS = slcrc0 )
     => ( ( aElementOf0(szmzazxdt0(xS),xS)
          & ! [X0] :
              ( aElementOf0(X0,xS)
             => sdtlseqdt0(X0,szmzazxdt0(xS)) ) )
       => ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
            & ! [X0] :
                ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
              <=> ( aElementOf0(X0,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
         => ( ! [X0] :
                ( aElementOf0(X0,xS)
               => aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
            | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f58,plain,
    ~ ( ~ ( ~ ? [X0] : aElementOf0(X0,xS)
          | xS = slcrc0 )
     => ( ( aElementOf0(szmzazxdt0(xS),xS)
          & ! [X1] :
              ( aElementOf0(X1,xS)
             => sdtlseqdt0(X1,szmzazxdt0(xS)) ) )
       => ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
            & ! [X2] :
                ( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
              <=> ( aElementOf0(X2,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
         => ( ! [X3] :
                ( aElementOf0(X3,xS)
               => aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
            | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
    inference(rectify,[],[f57]) ).

fof(f94,plain,
    ! [X0] :
      ( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
        & szszuzczcdt0(X0) != sz00 )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(flattening,[],[f104]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = szmzazxdt0(X0)
        <=> ( aElementOf0(X1,X0)
            & ! [X2] :
                ( sdtlseqdt0(X2,X1)
                | ~ aElementOf0(X2,X0) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ isFinite0(X0)
      | slcrc0 = X0 ),
    inference(ennf_transformation,[],[f48]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = szmzazxdt0(X0)
        <=> ( aElementOf0(X1,X0)
            & ! [X2] :
                ( sdtlseqdt0(X2,X1)
                | ~ aElementOf0(X2,X0) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ isFinite0(X0)
      | slcrc0 = X0 ),
    inference(flattening,[],[f130]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = slbdtrb0(X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ( aElementOf0(X2,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f140,plain,
    ( aSet0(xS)
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(X0,xS) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f141,plain,
    ( ? [X3] :
        ( ~ aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
        & aElementOf0(X3,xS) )
    & ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    & ! [X2] :
        ( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
      <=> ( aElementOf0(X2,szNzAzT0)
          & sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) )
    & aElementOf0(szmzazxdt0(xS),xS)
    & ! [X1] :
        ( sdtlseqdt0(X1,szmzazxdt0(xS))
        | ~ aElementOf0(X1,xS) )
    & ? [X0] : aElementOf0(X0,xS)
    & slcrc0 != xS ),
    inference(ennf_transformation,[],[f58]) ).

fof(f142,plain,
    ( ? [X3] :
        ( ~ aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
        & aElementOf0(X3,xS) )
    & ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    & ! [X2] :
        ( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
      <=> ( aElementOf0(X2,szNzAzT0)
          & sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) )
    & aElementOf0(szmzazxdt0(xS),xS)
    & ! [X1] :
        ( sdtlseqdt0(X1,szmzazxdt0(xS))
        | ~ aElementOf0(X1,xS) )
    & ? [X0] : aElementOf0(X0,xS)
    & slcrc0 != xS ),
    inference(flattening,[],[f141]) ).

fof(f186,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( slcrc0 = X0
      | ~ isFinite0(X0)
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ aElementOf0(X2,X0)
      | sdtlseqdt0(X2,X1)
      | szmzazxdt0(X0) != X1 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
      | ~ aElementOf0(X2,szNzAzT0)
      | aElementOf0(X2,X1)
      | slbdtrb0(X0) != X1 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xS)
      | aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f235,plain,
    isFinite0(xS),
    inference(cnf_transformation,[],[f140]) ).

fof(f236,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f140]) ).

fof(f241,plain,
    aElementOf0(sK10,xS),
    inference(cnf_transformation,[],[f142]) ).

fof(f242,plain,
    ~ aElementOf0(sK10,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(cnf_transformation,[],[f142]) ).

fof(f244,plain,
    slcrc0 != xS,
    inference(cnf_transformation,[],[f142]) ).

fof(f246,plain,
    aElementOf0(szmzazxdt0(xS),xS),
    inference(cnf_transformation,[],[f142]) ).

fof(f268,plain,
    ! [X2,X0] :
      ( slcrc0 = X0
      | ~ isFinite0(X0)
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ aElementOf0(X2,X0)
      | sdtlseqdt0(X2,szmzazxdt0(X0)) ),
    inference(equality_resolution,[],[f217]) ).

fof(f270,plain,
    ! [X2,X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
      | ~ aElementOf0(X2,szNzAzT0)
      | aElementOf0(X2,slbdtrb0(X0)) ),
    inference(equality_resolution,[],[f222]) ).

fof(f316,plain,
    ! [X0] :
      ( ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
      | aElementOf0(X0,szNzAzT0) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
      | aElementOf0(X0,szNzAzT0)
      | aElementOf0(X1,szNzAzT0)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f347,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X2,szmzazxdt0(X0))
      | isFinite0(X0)
      | ~ aSubsetOf0(X0,szNzAzT0)
      | aElementOf0(X2,X0)
      | slcrc0 = X0 ),
    inference(consistent_polarity_flipping,[],[f268]) ).

fof(f355,plain,
    ! [X2,X0] :
      ( ~ aElementOf0(X2,slbdtrb0(X0))
      | ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
      | aElementOf0(X2,szNzAzT0)
      | aElementOf0(X0,szNzAzT0) ),
    inference(consistent_polarity_flipping,[],[f270]) ).

fof(f365,plain,
    ~ isFinite0(xS),
    inference(consistent_polarity_flipping,[],[f235]) ).

fof(f366,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aElementOf0(X0,xS) ),
    inference(consistent_polarity_flipping,[],[f234]) ).

fof(f368,plain,
    ~ aElementOf0(szmzazxdt0(xS),xS),
    inference(consistent_polarity_flipping,[],[f246]) ).

fof(f371,plain,
    aElementOf0(sK10,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(consistent_polarity_flipping,[],[f242]) ).

fof(f372,plain,
    ~ aElementOf0(sK10,xS),
    inference(consistent_polarity_flipping,[],[f241]) ).

fof(f404,definition,
    ( spl11_5
  <=> aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).

fof(f405,plain,
    ( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | spl11_5 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f408,definition,
    ( spl11_6
  <=> aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).

fof(f409,plain,
    ( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
    | spl11_6 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f410,plain,
    ( aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f535,plain,
    ( aElementOf0(szmzazxdt0(xS),xS)
    | ~ spl11_5 ),
    inference(resolution,[],[f406,f366]) ).

fof(f536,plain,
    ( $false
    | ~ spl11_5 ),
    inference(forward_subsumption_resolution,[],[f535,f368]) ).

fof(f537,plain,
    ~ spl11_5,
    inference(avatar_contradiction_clause,[],[f536]) ).

fof(f652,plain,
    ( aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ~ spl11_6 ),
    inference(resolution,[],[f410,f316]) ).

fof(f655,plain,
    ( $false
    | spl11_5
    | ~ spl11_6 ),
    inference(forward_subsumption_resolution,[],[f652,f405]) ).

fof(f656,plain,
    ( spl11_5
    | ~ spl11_6 ),
    inference(avatar_contradiction_clause,[],[f655]) ).

fof(f762,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(sK10),szszuzczcdt0(szmzazxdt0(xS)))
    | aElementOf0(sK10,szNzAzT0)
    | aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    inference(resolution,[],[f355,f371]) ).

fof(f771,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(sK10),szszuzczcdt0(szmzazxdt0(xS)))
    | aElementOf0(sK10,szNzAzT0)
    | spl11_6 ),
    inference(forward_subsumption_resolution,[],[f762,f409]) ).

fof(f773,definition,
    ( spl11_22
  <=> aElementOf0(sK10,szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[spl11_22])],[avatar_definition]) ).

fof(f775,plain,
    ( aElementOf0(sK10,szNzAzT0)
    | ~ spl11_22 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f777,definition,
    ( spl11_23
  <=> sdtlseqdt0(szszuzczcdt0(sK10),szszuzczcdt0(szmzazxdt0(xS))) ),
    introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(sK10),szszuzczcdt0(szmzazxdt0(xS)))
    | spl11_23 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f780,plain,
    ( spl11_22
    | ~ spl11_23
    | spl11_6 ),
    inference(avatar_split_clause,[],[f771,f408,f777,f773]) ).

fof(f782,plain,
    ( aElementOf0(sK10,szNzAzT0)
    | aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ~ sdtlseqdt0(sK10,szmzazxdt0(xS))
    | spl11_23 ),
    inference(resolution,[],[f779,f324]) ).

fof(f786,plain,
    ( aElementOf0(sK10,szNzAzT0)
    | ~ sdtlseqdt0(sK10,szmzazxdt0(xS))
    | spl11_5
    | spl11_23 ),
    inference(forward_subsumption_resolution,[],[f782,f405]) ).

fof(f793,definition,
    ( spl11_25
  <=> sdtlseqdt0(sK10,szmzazxdt0(xS)) ),
    introduced(definition,[new_symbols(definition,[spl11_25])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ sdtlseqdt0(sK10,szmzazxdt0(xS))
    | spl11_25 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f796,plain,
    ( ~ spl11_25
    | spl11_22
    | spl11_5
    | spl11_23 ),
    inference(avatar_split_clause,[],[f786,f777,f404,f773,f793]) ).

fof(f798,plain,
    ( aElementOf0(sK10,xS)
    | ~ spl11_22 ),
    inference(resolution,[],[f775,f366]) ).

fof(f799,plain,
    ( $false
    | ~ spl11_22 ),
    inference(forward_subsumption_resolution,[],[f798,f372]) ).

fof(f800,plain,
    ~ spl11_22,
    inference(avatar_contradiction_clause,[],[f799]) ).

fof(f941,plain,
    ( isFinite0(xS)
    | ~ aSubsetOf0(xS,szNzAzT0)
    | aElementOf0(sK10,xS)
    | slcrc0 = xS
    | spl11_25 ),
    inference(resolution,[],[f795,f347]) ).

fof(f942,plain,
    ( ~ aSubsetOf0(xS,szNzAzT0)
    | aElementOf0(sK10,xS)
    | slcrc0 = xS
    | spl11_25 ),
    inference(forward_subsumption_resolution,[],[f941,f365]) ).

fof(f945,plain,
    ( aElementOf0(sK10,xS)
    | slcrc0 = xS
    | spl11_25 ),
    inference(forward_subsumption_resolution,[],[f942,f236]) ).

fof(f946,plain,
    ( slcrc0 = xS
    | spl11_25 ),
    inference(forward_subsumption_resolution,[],[f945,f372]) ).

fof(f947,plain,
    ( $false
    | spl11_25 ),
    inference(forward_subsumption_resolution,[],[f946,f244]) ).

fof(f948,plain,
    spl11_25,
    inference(avatar_contradiction_clause,[],[f947]) ).

cnf(s11,plain,
    ~ spl11_5,
    inference(sat_conversion,[],[f537]) ).

cnf(s17,plain,
    ( spl11_5
    | ~ spl11_6 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s21,plain,
    ( spl11_6
    | spl11_22
    | ~ spl11_23 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s23,plain,
    ( spl11_5
    | spl11_22
    | spl11_23
    | ~ spl11_25 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s24,plain,
    ~ spl11_22,
    inference(sat_conversion,[],[f800]) ).

cnf(s30,plain,
    spl11_25,
    inference(sat_conversion,[],[f948]) ).

cnf(s31,plain,
    ( spl11_5
    | spl11_23 ),
    inference(rat,[],[s23,s30,s24]) ).

cnf(s33,plain,
    ( spl11_6
    | ~ spl11_23 ),
    inference(rat,[],[s21,s24]) ).

cnf(s34,plain,
    spl11_23,
    inference(rat,[],[s31,s11]) ).

cnf(s36,plain,
    ~ spl11_6,
    inference(rat,[],[s17,s11]) ).

cnf(s37,plain,
    $false,
    inference(rat,[],[s33,s34,s36]) ).

fof(f949,plain,
    $false,
    inference(avatar_sat_refutation,[],[s37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM544+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37  % Computer : n016.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 20:30:02 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  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
% 0.17/0.48  % (2966305)Will run a generic schedule for satisfiability detection.
% 0.17/0.48  % (2966315)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1510428962:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48  % (2966311)% WARNING: option uhcvi not known.
% 0.17/0.48  % (2966310)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=966386438_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48  % (2966311)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=640044286:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48  % (2966312)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1743349818:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48  % (2966313)dis+10_1_sil=32000:sp=arity:random_seed=3310332967:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48  % (2966314)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=454303698:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48  % (2966316)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1114836286:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48  % TRYING [1]
% 0.17/0.48  % TRYING [2]
% 0.17/0.48  % TRYING [3]
% 0.17/0.48  % (2966311) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2966305-2966311"...
% 0.17/0.48  % TRYING [4]
% 0.17/0.48  % (2966311)...printing done.
% 0.17/0.48  % (2966311)Refutation found. Thanks to Tanya!
% 0.17/0.48  % SZS status Theorem for theBenchmark
% 0.17/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (2966311)------------------------------
% 0.17/0.48  % (2966311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48  % (2966311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48  % (2966311)CaDiCaL version: 2.1.3
% 0.17/0.48  % (2966311)Termination reason: Refutation
% 0.17/0.48  % (2966311)Time elapsed: 0.018 s
% 0.17/0.48  % (2966311)Peak memory usage: 13 MB
% 0.17/0.48  % (2966311)Instructions burned: 23 (million)
% 0.17/0.48  % (2966305)Success in time 0.063 s
% 0.17/0.48  % Vampire exiting
%------------------------------------------------------------------------------