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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR093+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:42:55 AM UTC 2026

% Result   : ContradictoryAxioms 44.09s 9.20s
% Output   : Refutation 56.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   88 (  11 unt;   7 def)
%            Number of atoms       :  285 (  36 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  322 ( 125   ~; 139   |;  43   &)
%                                         (  11 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :  185 (   0 sgn 178   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f605,axiom,
    ! [X0] : s__instance(X0,s__Entity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_606) ).

fof(f4670,axiom,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) )
         => ( ( s__instance(X3,X2)
              & s__instance(X4,X0)
              & s__instance(X5,X1) )
           => ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4682) ).

fof(f4706,axiom,
    ! [X0] :
      ( s__instance(X0,s__SetOrClass)
     => ( s__instance(X0,s__NullSet)
       => ~ ? [X1] : s__instance(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4719) ).

fof(f23191,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(ennf_transformation,[],[f4670]) ).

fof(f23192,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(flattening,[],[f23191]) ).

fof(f23193,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f4706]) ).

fof(f23194,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f23193]) ).

fof(f27180,definition,
    ! [X1,X2,X0] :
      ( sP15(X1,X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).

fof(f27181,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> sP15(X1,X2,X0) ),
    inference(definition_folding,[],[f23192,f27180]) ).

fof(f27503,plain,
    ! [X1,X2,X0] :
      ( ( sP15(X1,X2,X0)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X1)
              | ~ s__instance(X4,X1)
              | ( ~ s__instance(X5,X2)
                & ~ s__instance(X5,X0) ) )
            & s__instance(X3,X2)
            & s__instance(X4,X0)
            & s__instance(X5,X1)
            & s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) ) )
      & ( ! [X3,X4,X5] :
            ( ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) )
            | ~ s__instance(X3,X2)
            | ~ s__instance(X4,X0)
            | ~ s__instance(X5,X1)
            | ~ s__instance(X2,s__SetOrClass)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass) )
        | ~ sP15(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f27180]) ).

fof(f27504,plain,
    ! [X0,X1,X2] :
      ( ( sP15(X0,X1,X2)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X0)
              | ~ s__instance(X4,X0)
              | ( ~ s__instance(X5,X1)
                & ~ s__instance(X5,X2) ) )
            & s__instance(X3,X1)
            & s__instance(X4,X2)
            & s__instance(X5,X0)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass)
            & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP15(X0,X1,X2) ) ),
    inference(rectify,[],[f27503]) ).

fof(f27505,plain,
    ! [X0,X1,X2] :
      ( ( sP15(X0,X1,X2)
        | ( ( ~ s__instance(sK225(X0,X1,X2),X0)
            | ~ s__instance(sK226(X0,X1,X2),X0)
            | ( ~ s__instance(sK227(X0,X1,X2),X1)
              & ~ s__instance(sK227(X0,X1,X2),X2) ) )
          & s__instance(sK225(X0,X1,X2),X1)
          & s__instance(sK226(X0,X1,X2),X2)
          & s__instance(sK227(X0,X1,X2),X0)
          & s__instance(X1,s__SetOrClass)
          & s__instance(X0,s__SetOrClass)
          & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP15(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK225,sK226,sK227]),skolemize(X3,sK225(X0,X1,X2)),skolemize(X4,sK226(X0,X1,X2)),skolemize(X5,sK227(X0,X1,X2))],[f27504]) ).

fof(f27506,plain,
    ! [X0,X1,X2] :
      ( ( X1 = s__UnionFn(X2,X0)
        | ~ sP15(X1,X2,X0) )
      & ( sP15(X1,X2,X0)
        | s__UnionFn(X2,X0) != X1 ) ),
    inference(nnf_transformation,[],[f27181]) ).

fof(f29296,plain,
    ! [X0] : s__instance(X0,s__Entity),
    inference(cnf_transformation,[],[f605]) ).

fof(f33604,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X2,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27505]) ).

fof(f33605,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27505]) ).

fof(f33606,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27505]) ).

fof(f33607,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK227(X0,X1,X2),X0)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27505]) ).

fof(f33608,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK226(X0,X1,X2),X2)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27505]) ).

fof(f33609,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK225(X0,X1,X2),X1)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27505]) ).

fof(f33613,plain,
    ! [X2,X0,X1] :
      ( ~ sP15(X1,X2,X0)
      | s__UnionFn(X2,X0) = X1 ),
    inference(cnf_transformation,[],[f27506]) ).

fof(f33649,plain,
    ! [X0,X1] :
      ( ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f23194]) ).

fof(f50262,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP15(X1,X0,X2) ),
    inference(resolution,[],[f33649,f33609]) ).

fof(f50264,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP15(X1,X2,X0) ),
    inference(resolution,[],[f33649,f33608]) ).

fof(f50265,plain,
    ! [X2,X0,X1] :
      ( sP15(X1,X2,X0)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50264,f33604]) ).

fof(f50275,plain,
    ! [X2,X0,X1] :
      ( sP15(X1,X0,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50262,f33606]) ).

fof(f50276,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X0,X1) = X2 ),
    inference(resolution,[],[f50275,f33613]) ).

fof(f50277,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X0) = X2 ),
    inference(resolution,[],[f50265,f33613]) ).

fof(f50278,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(resolution,[],[f33607,f33649]) ).

fof(f50279,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50278,f33605]) ).

fof(f50280,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X2) = X0 ),
    inference(resolution,[],[f50279,f33613]) ).

fof(f50281,plain,
    ! [X2,X3,X0,X1] :
      ( sP15(X2,s__NullSet,X3)
      | s__UnionFn(X0,X1) = sK225(X2,s__NullSet,X3) ),
    inference(resolution,[],[f50280,f33609]) ).

fof(f50284,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,X1) = sK225(X2,s__NullSet,X3)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(resolution,[],[f50281,f33613]) ).

fof(f50287,plain,
    ! [X2,X3,X0,X1] :
      ( s__instance(s__UnionFn(X0,X1),s__NullSet)
      | sP15(X2,s__NullSet,X3)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(superposition,[],[f33609,f50284]) ).

fof(f50289,plain,
    ! [X2,X3,X0,X1] :
      ( s__instance(s__UnionFn(X0,X1),s__NullSet)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(forward_subsumption_resolution,[],[f50287,f33613]) ).

fof(f50291,definition,
    ( spl1514_270
  <=> ! [X4,X5] : s__UnionFn(s__NullSet,X5) = X4 ),
    introduced(definition,[new_symbols(definition,[spl1514_270])],[avatar_definition]) ).

fof(f50292,plain,
    ( ! [X4,X5] : s__UnionFn(s__NullSet,X5) = X4
    | ~ spl1514_270 ),
    inference(avatar_component_clause,[],[f50291]) ).

fof(f50298,definition,
    ( spl1514_272
  <=> ! [X0,X1] : s__instance(s__UnionFn(X0,X1),s__NullSet) ),
    introduced(definition,[new_symbols(definition,[spl1514_272])],[avatar_definition]) ).

fof(f50299,plain,
    ( ! [X0,X1] : s__instance(s__UnionFn(X0,X1),s__NullSet)
    | ~ spl1514_272 ),
    inference(avatar_component_clause,[],[f50298]) ).

fof(f50300,plain,
    ( spl1514_270
    | spl1514_272 ),
    inference(avatar_split_clause,[],[f50289,f50298,f50291]) ).

fof(f50301,plain,
    ( ! [X2,X0] : X0 = X2
    | ~ spl1514_270 ),
    inference(superposition,[],[f50292,f50292]) ).

fof(f50321,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl1514_270 ),
    inference(superposition,[],[f29296,f50301]) ).

fof(f50332,plain,
    ( ! [X0] :
        ( ~ s__instance(X0,s__NullSet)
        | ~ s__instance(X0,s__SetOrClass) )
    | ~ spl1514_270 ),
    inference(resolution,[],[f50321,f33649]) ).

fof(f50334,plain,
    ( ! [X0] : ~ s__instance(X0,s__NullSet)
    | ~ spl1514_270 ),
    inference(forward_subsumption_resolution,[],[f50332,f50321]) ).

fof(f50335,plain,
    ( $false
    | ~ spl1514_270 ),
    inference(forward_subsumption_resolution,[],[f50334,f50321]) ).

fof(f50336,plain,
    ~ spl1514_270,
    inference(avatar_contradiction_clause,[],[f50335]) ).

fof(f50362,plain,
    ! [X2,X3,X0,X1] :
      ( sP15(s__NullSet,X1,X2)
      | s__UnionFn(X0,sK227(s__NullSet,X1,X2)) = X3 ),
    inference(resolution,[],[f50277,f33607]) ).

fof(f50363,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,sK227(s__NullSet,X1,X2)) = X3
      | s__NullSet = s__UnionFn(X1,X2) ),
    inference(resolution,[],[f50362,f33613]) ).

fof(f50365,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3)
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(superposition,[],[f50363,f50363]) ).

fof(f50372,plain,
    ( ! [X2,X3,X0] :
        ( s__instance(X0,s__NullSet)
        | s__NullSet = s__UnionFn(X2,X3) )
    | ~ spl1514_272 ),
    inference(superposition,[],[f50299,f50363]) ).

fof(f50382,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(duplicate_literal_removal,[],[f50365]) ).

fof(f50384,definition,
    ( spl1514_275
  <=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl1514_275])],[avatar_definition]) ).

fof(f50385,plain,
    ( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
    | ~ spl1514_275 ),
    inference(avatar_component_clause,[],[f50384]) ).

fof(f50391,definition,
    ( spl1514_277
  <=> ! [X0] : s__instance(X0,s__NullSet) ),
    introduced(definition,[new_symbols(definition,[spl1514_277])],[avatar_definition]) ).

fof(f50392,plain,
    ( ! [X0] : s__instance(X0,s__NullSet)
    | ~ spl1514_277 ),
    inference(avatar_component_clause,[],[f50391]) ).

fof(f50393,plain,
    ( spl1514_275
    | spl1514_277
    | ~ spl1514_272 ),
    inference(avatar_split_clause,[],[f50372,f50298,f50391,f50384]) ).

fof(f50403,definition,
    ( spl1514_279
  <=> ! [X4,X0] : X0 = X4 ),
    introduced(definition,[new_symbols(definition,[spl1514_279])],[avatar_definition]) ).

fof(f50404,plain,
    ( ! [X0,X4] : X0 = X4
    | ~ spl1514_279 ),
    inference(avatar_component_clause,[],[f50403]) ).

fof(f50405,plain,
    ( spl1514_275
    | spl1514_279 ),
    inference(avatar_split_clause,[],[f50382,f50403,f50384]) ).

fof(f50428,plain,
    ( ! [X2,X3,X0,X1] : s__UnionFn(s__UnionFn(X0,X1),X2) = X3
    | ~ spl1514_272 ),
    inference(resolution,[],[f50276,f50299]) ).

fof(f50435,plain,
    ( ! [X3] : s__NullSet = X3
    | ~ spl1514_272
    | ~ spl1514_275 ),
    inference(forward_demodulation,[],[f50428,f50385]) ).

fof(f50440,definition,
    ( spl1514_281
  <=> ! [X3] : s__NullSet = X3 ),
    introduced(definition,[new_symbols(definition,[spl1514_281])],[avatar_definition]) ).

fof(f50441,plain,
    ( ! [X3] : s__NullSet = X3
    | ~ spl1514_281 ),
    inference(avatar_component_clause,[],[f50440]) ).

fof(f50451,plain,
    ( spl1514_281
    | ~ spl1514_272
    | ~ spl1514_275 ),
    inference(avatar_split_clause,[],[f50435,f50384,f50298,f50440]) ).

fof(f50455,plain,
    ( ! [X0] : s__instance(X0,s__NullSet)
    | ~ spl1514_272
    | ~ spl1514_279 ),
    inference(superposition,[],[f50299,f50404]) ).

fof(f50472,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl1514_279 ),
    inference(superposition,[],[f29296,f50404]) ).

fof(f50492,plain,
    ( ! [X0] :
        ( ~ s__instance(X0,s__NullSet)
        | ~ s__instance(X0,s__SetOrClass) )
    | ~ spl1514_279 ),
    inference(resolution,[],[f50472,f33649]) ).

fof(f50496,plain,
    ( ! [X0] : ~ s__instance(X0,s__SetOrClass)
    | ~ spl1514_277
    | ~ spl1514_279 ),
    inference(forward_subsumption_resolution,[],[f50492,f50392]) ).

fof(f50497,plain,
    ( $false
    | ~ spl1514_277
    | ~ spl1514_279 ),
    inference(forward_subsumption_resolution,[],[f50496,f50472]) ).

fof(f50498,plain,
    ( ~ spl1514_277
    | ~ spl1514_279 ),
    inference(avatar_contradiction_clause,[],[f50497]) ).

fof(f50503,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl1514_281 ),
    inference(superposition,[],[f50441,f50441]) ).

fof(f50524,plain,
    ( spl1514_279
    | ~ spl1514_281 ),
    inference(avatar_split_clause,[],[f50503,f50440,f50403]) ).

fof(f50525,plain,
    ( spl1514_277
    | ~ spl1514_272
    | ~ spl1514_279 ),
    inference(avatar_split_clause,[],[f50455,f50403,f50298,f50391]) ).

cnf(s174,plain,
    ( spl1514_270
    | spl1514_272 ),
    inference(sat_conversion,[],[f50300]) ).

cnf(s175,plain,
    ~ spl1514_270,
    inference(sat_conversion,[],[f50336]) ).

cnf(s178,plain,
    ( ~ spl1514_272
    | spl1514_275
    | spl1514_277 ),
    inference(sat_conversion,[],[f50393]) ).

cnf(s184,plain,
    ( spl1514_275
    | spl1514_279 ),
    inference(sat_conversion,[],[f50405]) ).

cnf(s189,plain,
    ( ~ spl1514_272
    | ~ spl1514_275
    | spl1514_281 ),
    inference(sat_conversion,[],[f50451]) ).

cnf(s190,plain,
    ( ~ spl1514_277
    | ~ spl1514_279 ),
    inference(sat_conversion,[],[f50498]) ).

cnf(s192,plain,
    ( spl1514_279
    | ~ spl1514_281 ),
    inference(sat_conversion,[],[f50524]) ).

cnf(s193,plain,
    ( ~ spl1514_272
    | spl1514_277
    | ~ spl1514_279 ),
    inference(sat_conversion,[],[f50525]) ).

cnf(s195,plain,
    spl1514_272,
    inference(rat,[],[s174,s175]) ).

cnf(s197,plain,
    spl1514_275,
    inference(rat,[],[s190,s178,s184,s195]) ).

cnf(s198,plain,
    spl1514_281,
    inference(rat,[],[s189,s195,s197]) ).

cnf(s200,plain,
    spl1514_279,
    inference(rat,[],[s192,s198]) ).

cnf(s201,plain,
    ~ spl1514_277,
    inference(rat,[],[s190,s200]) ).

cnf(s202,plain,
    $false,
    inference(rat,[],[s193,s195,s200,s201]) ).

fof(f50526,plain,
    $false,
    inference(avatar_sat_refutation,[],[s202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR093+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23  % Computer : n019.cluster.edu
% 0.11/0.23  % Model    : x86_64 x86_64
% 0.11/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23  % Memory   : 8046.5625MB
% 0.11/0.23  % OS       : Linux 6.8.0-71-generic
% 0.11/0.23  % CPULimit : 300
% 0.11/0.23  % WCLimit  : 300
% 0.11/0.23  % DateTime : Mon Sep 28 22:43:18 UTC 2026
% 0.11/0.24  % CPUTime  : 
% 0.11/0.24  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.29  Running first-order theorem proving
% 0.26/0.29  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.72/4.13  % (357080)Detected formulas, will run a generic FOF schedule.
% 19.72/4.13  % (357088)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2783702783:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 19.72/4.13  % (357093)dis-21_1_sil=8000:lcm=predicate:random_seed=2210275025:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 19.72/4.13  % (357093)Instruction limit reached! 
% 19.72/4.13  % (357093)------------------------------
% 19.72/4.13  % (357093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.72/4.13  % (357093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.72/4.13  % (357093)CaDiCaL version: 2.1.3
% 19.72/4.13  % (357093)Termination reason: Instruction limit
% 19.72/4.13  % (357093)Termination phase: Saturation
% 19.72/4.13  % (357093)Time elapsed: 0.050 s
% 19.72/4.13  % (357093)Peak memory usage: 103 MB
% 19.72/4.13  % (357093)Instructions burned: 131 (million)
% 19.72/4.13  % (357090)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=646831905:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 19.72/4.13  % (357089)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=310444320:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 19.72/4.13  % (357087)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2195649490:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 19.72/4.13  % (357091)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3123784297:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 19.72/4.13  % (357092)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=119905785:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 19.72/4.13  % (357090)Refutation not found, incomplete strategy
% 19.72/4.13  % (357090)------------------------------
% 19.72/4.13  % (357090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.72/4.13  % (357090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.72/4.13  % (357090)CaDiCaL version: 2.1.3
% 19.72/4.13  % (357090)Termination reason: Refutation not found, incomplete strategy
% 19.72/4.13  % (357090)Time elapsed: 0.062 s
% 19.72/4.13  % (357090)Peak memory usage: 103 MB
% 19.72/4.13  % (357090)Instructions burned: 59 (million)
% 19.72/4.13  % (357091)Instruction limit reached! 
% 19.72/4.13  % (357091)------------------------------
% 19.72/4.13  % (357091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.72/4.13  % (357091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.72/4.13  % (357091)CaDiCaL version: 2.1.3
% 19.72/4.13  % (357091)Termination reason: Instruction limit
% 19.72/4.13  % (357091)Termination phase: Saturation
% 19.72/4.13  % (357091)Time elapsed: 0.113 s
% 19.72/4.13  % (357091)Peak memory usage: 102 MB
% 19.72/4.13  % (357091)Instructions burned: 120 (million)
% 19.72/4.13  % (357092)Instruction limit reached! 
% 19.72/4.13  % (357092)------------------------------
% 19.72/4.13  % (357092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.72/4.13  % (357092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.72/4.13  % (357092)CaDiCaL version: 2.1.3
% 19.72/4.13  % (357092)Termination reason: Instruction limit
% 19.72/4.13  % (357092)Termination phase: SInE selection
% 19.72/4.13  % (357092)Time elapsed: 0.128 s
% 19.72/4.13  % (357092)Peak memory usage: 99 MB
% 19.72/4.13  % (357092)Instructions burned: 139 (million)
% 19.72/4.13  % (357102)lrs+10_1_sil=8000:sp=occurrence:random_seed=3756684246:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 19.72/4.13  % (357104)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2860026294:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 19.72/4.13  % (357102)Instruction limit reached! 
% 19.72/4.13  % (357102)------------------------------
% 19.72/4.13  % (357102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.72/4.13  % (357102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.72/4.13  % (357102)CaDiCaL version: 2.1.3
% 19.72/4.13  % (357102)Termination reason: Instruction limit
% 19.72/4.13  % (357102)Termination phase: Saturation
% 19.72/4.13  % (357102)Time elapsed: 0.152 s
% 24.04/4.96  % (357102)Peak memory usage: 104 MB
% 24.04/4.96  % (357102)Instructions burned: 286 (million)
% 24.04/4.96  % (357105)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2481378515:i=325:sd=1:ss=axioms:sgt=32_2989 on theBenchmark for (2989ds/325Mi)
% 24.04/4.96  % (357090)------------------------------
% 24.04/4.96  % (357090)------------------------------
% 24.04/4.96  % (357104)Refutation not found, incomplete strategy
% 24.04/4.96  % (357104)------------------------------
% 24.04/4.96  % (357104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.04/4.96  % (357104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.04/4.96  % (357104)CaDiCaL version: 2.1.3
% 24.04/4.96  % (357104)Termination reason: Refutation not found, incomplete strategy
% 24.04/4.96  % (357104)Time elapsed: 0.146 s
% 24.04/4.96  % (357104)Peak memory usage: 103 MB
% 24.04/4.96  % (357104)Instructions burned: 155 (million)
% 24.04/4.96  % (357105)Refutation not found, incomplete strategy
% 24.04/4.96  % (357105)------------------------------
% 24.04/4.96  % (357105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.04/4.96  % (357105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.04/4.96  % (357105)CaDiCaL version: 2.1.3
% 24.04/4.96  % (357105)Termination reason: Refutation not found, incomplete strategy
% 24.04/4.96  % (357105)Time elapsed: 0.063 s
% 24.04/4.96  % (357105)Peak memory usage: 103 MB
% 24.04/4.96  % (357105)Instructions burned: 49 (million)
% 24.04/4.96  % (357108)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=814045805:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 24.04/4.96  % (357108)Instruction limit reached! 
% 24.04/4.96  % (357108)------------------------------
% 24.04/4.96  % (357108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.04/4.96  % (357108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.04/4.96  % (357108)CaDiCaL version: 2.1.3
% 24.04/4.96  % (357108)Termination reason: Instruction limit
% 24.04/4.96  % (357108)Termination phase: Preprocessing 3
% 24.04/4.96  % (357108)Time elapsed: 0.114 s
% 24.04/4.96  % (357108)Peak memory usage: 104 MB
% 24.04/4.96  % (357108)Instructions burned: 249 (million)
% 24.04/4.96  % (357110)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=200772933:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 24.04/4.96  % (357110)Refutation not found, incomplete strategy
% 24.04/4.96  % (357110)------------------------------
% 24.04/4.96  % (357110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.04/4.96  % (357110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.04/4.96  % (357110)CaDiCaL version: 2.1.3
% 24.04/4.96  % (357110)Termination reason: Refutation not found, incomplete strategy
% 24.04/4.96  % (357110)Time elapsed: 0.086 s
% 24.04/4.96  % (357110)Peak memory usage: 103 MB
% 24.04/4.96  % (357110)Instructions burned: 82 (million)
% 24.04/4.96  % (357104)------------------------------
% 24.04/4.96  % (357104)------------------------------
% 24.04/4.96  % (357112)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2647563597:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 24.04/4.96  % (357105)------------------------------
% 24.04/4.96  % (357105)------------------------------
% 24.04/4.96  % (357114)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2789521229:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 24.04/4.96  % (357116)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=756364968:i=127:av=off:fsr=off:sup=off_2981 on theBenchmark for (2981ds/127Mi)
% 24.04/4.96  % (357110)------------------------------
% 24.04/4.96  % (357110)------------------------------
% 24.04/4.96  % (357114)Instruction limit reached! 
% 24.04/4.96  % (357114)------------------------------
% 24.04/4.96  % (357114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.04/4.96  % (357114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.04/4.96  % (357114)CaDiCaL version: 2.1.3
% 24.04/4.96  % (357114)Termination reason: Instruction limit
% 24.04/4.96  % (357114)Termination phase: Saturation
% 24.04/4.96  % (357114)Time elapsed: 0.128 s
% 24.04/4.96  % (357114)Peak memory usage: 103 MB
% 24.04/4.96  % (357114)Instructions burned: 113 (million)
% 24.04/4.96  % (357089)Refutation not found, incomplete strategy
% 24.04/4.96  % (357089)------------------------------
% 24.04/4.96  % (357089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.54/7.59  % (357089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.54/7.59  % (357089)CaDiCaL version: 2.1.3
% 43.54/7.59  % (357089)Termination reason: Refutation not found, incomplete strategy
% 43.54/7.59  % (357089)Time elapsed: 1.287 s
% 43.54/7.59  % (357089)Peak memory usage: 164 MB
% 43.54/7.59  % (357089)Instructions burned: 1227 (million)
% 43.54/7.59  % (357116)Instruction limit reached! 
% 43.54/7.59  % (357116)------------------------------
% 43.54/7.59  % (357116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.54/7.59  % (357116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.54/7.59  % (357116)CaDiCaL version: 2.1.3
% 43.54/7.59  % (357116)Termination reason: Instruction limit
% 43.54/7.59  % (357116)Termination phase: Preprocessing 3
% 43.54/7.59  % (357116)Time elapsed: 0.137 s
% 43.54/7.59  % (357116)Peak memory usage: 104 MB
% 43.54/7.59  % (357116)Instructions burned: 127 (million)
% 43.54/7.59  % (357121)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1076110941:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2978 on theBenchmark for (2978ds/114Mi)
% 43.54/7.59  % (357122)lrs+10_1_sil=8000:sp=occurrence:random_seed=3080840526:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 43.54/7.59  % (357123)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2923469372:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 43.54/7.59  % (357121)Instruction limit reached! 
% 43.54/7.59  % (357121)------------------------------
% 43.54/7.59  % (357121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.54/7.59  % (357121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.54/7.59  % (357121)CaDiCaL version: 2.1.3
% 43.54/7.59  % (357121)Termination reason: Instruction limit
% 43.54/7.59  % (357121)Termination phase: Initialization
% 43.54/7.59  % (357121)Time elapsed: 0.102 s
% 43.54/7.59  % (357121)Peak memory usage: 98 MB
% 43.54/7.59  % (357121)Instructions burned: 114 (million)
% 43.54/7.59  % (357123)Refutation not found, incomplete strategy
% 43.54/7.59  % (357123)------------------------------
% 43.54/7.59  % (357123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.54/7.59  % (357123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.54/7.59  % (357123)CaDiCaL version: 2.1.3
% 43.54/7.59  % (357123)Termination reason: Refutation not found, incomplete strategy
% 43.54/7.59  % (357123)Time elapsed: 0.061 s
% 43.54/7.59  % (357123)Peak memory usage: 103 MB
% 43.54/7.59  % (357123)Instructions burned: 48 (million)
% 43.54/7.59  % (357089)------------------------------
% 43.54/7.59  % (357089)------------------------------
% 43.54/7.59  % (357127)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1426854142:i=5202:ss=axioms:sgt=16_2974 on theBenchmark for (2974ds/5202Mi)
% 43.54/7.59  % (357128)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2840741192:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 43.54/7.59  % (357128)Refutation not found, incomplete strategy
% 43.54/7.59  % (357128)------------------------------
% 43.54/7.59  % (357128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.54/7.59  % (357128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.54/7.59  % (357128)CaDiCaL version: 2.1.3
% 43.54/7.59  % (357128)Termination reason: Refutation not found, incomplete strategy
% 43.54/7.59  % (357128)Time elapsed: 0.074 s
% 43.54/7.59  % (357128)Peak memory usage: 103 MB
% 43.54/7.59  % (357128)Instructions burned: 63 (million)
% 43.54/7.59  % (357123)------------------------------
% 43.54/7.59  % (357123)------------------------------
% 43.54/7.59  % (357112)Instruction limit reached! 
% 43.54/7.59  % (357112)------------------------------
% 43.54/7.59  % (357112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.54/7.59  % (357112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.54/7.59  % (357112)CaDiCaL version: 2.1.3
% 43.54/7.59  % (357112)Termination reason: Instruction limit
% 43.54/7.59  % (357112)Termination phase: Saturation
% 43.54/7.59  % (357112)Time elapsed: 1.391 s
% 43.54/7.59  % (357112)Peak memory usage: 277 MB
% 43.54/7.59  % (357112)Instructions burned: 2351 (million)
% 43.54/7.59  % (357131)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2181095388:st=8:i=592:sd=3:ep=RST:ss=axioms_2970 on theBenchmark for (2970ds/592Mi)
% 43.54/7.59  % (357122)Instruction limit reached! 
% 43.54/7.59  % (357122)------------------------------
% 44.09/9.20  % (357122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357122)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357122)Termination reason: Instruction limit
% 44.09/9.20  % (357122)Termination phase: Saturation
% 44.09/9.20  % (357122)Time elapsed: 0.855 s
% 44.09/9.20  % (357122)Peak memory usage: 109 MB
% 44.09/9.20  % (357122)Instructions burned: 907 (million)
% 44.09/9.20  % (357128)------------------------------
% 44.09/9.20  % (357128)------------------------------
% 44.09/9.20  % (357132)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3567382506:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 44.09/9.20  % (357131)Refutation not found, incomplete strategy
% 44.09/9.20  % (357131)------------------------------
% 44.09/9.20  % (357131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357131)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357131)Termination reason: Refutation not found, incomplete strategy
% 44.09/9.20  % (357131)Time elapsed: 0.160 s
% 44.09/9.20  % (357131)Peak memory usage: 104 MB
% 44.09/9.20  % (357131)Instructions burned: 148 (million)
% 44.09/9.20  % (357134)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1708020799:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/125Mi)
% 44.09/9.20  % (357135)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=599657972:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 44.09/9.20  % (357134)Instruction limit reached! 
% 44.09/9.20  % (357134)------------------------------
% 44.09/9.20  % (357134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357134)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357134)Termination reason: Instruction limit
% 44.09/9.20  % (357134)Termination phase: SInE selection
% 44.09/9.20  % (357134)Time elapsed: 0.121 s
% 44.09/9.20  % (357134)Peak memory usage: 99 MB
% 44.09/9.20  % (357134)Instructions burned: 125 (million)
% 44.09/9.20  % (357135)Instruction limit reached! 
% 44.09/9.20  % (357135)------------------------------
% 44.09/9.20  % (357135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357135)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357135)Termination reason: Instruction limit
% 44.09/9.20  % (357135)Termination phase: Property scanning
% 44.09/9.20  % (357135)Time elapsed: 0.126 s
% 44.09/9.20  % (357135)Peak memory usage: 98 MB
% 44.09/9.20  % (357135)Instructions burned: 135 (million)
% 44.09/9.20  % (357131)------------------------------
% 44.09/9.20  % (357131)------------------------------
% 44.09/9.20  % (357139)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3724491411:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/141Mi)
% 44.09/9.20  % (357139)Refutation not found, incomplete strategy
% 44.09/9.20  % (357139)------------------------------
% 44.09/9.20  % (357139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357139)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357139)Termination reason: Refutation not found, incomplete strategy
% 44.09/9.20  % (357139)Time elapsed: 0.048 s
% 44.09/9.20  % (357139)Peak memory usage: 103 MB
% 44.09/9.20  % (357139)Instructions burned: 59 (million)
% 44.09/9.20  % (357140)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3832099624:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2962 on theBenchmark for (2962ds/431Mi)
% 44.09/9.20  % (357140)Refutation not found, incomplete strategy
% 44.09/9.20  % (357140)------------------------------
% 44.09/9.20  % (357140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357140)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357140)Termination reason: Refutation not found, incomplete strategy
% 44.09/9.20  % (357140)Time elapsed: 0.061 s
% 44.09/9.20  % (357140)Peak memory usage: 103 MB
% 44.09/9.20  % (357140)Instructions burned: 49 (million)
% 44.09/9.20  % (357141)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2091250664:i=6060:aac=none:ins=25_2961 on theBenchmark for (2961ds/6060Mi)
% 44.09/9.20  % (357139)------------------------------
% 44.09/9.20  % (357139)------------------------------
% 44.09/9.20  % (357140)------------------------------
% 44.09/9.20  % (357140)------------------------------
% 44.09/9.20  % (357145)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=53630624:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2956 on theBenchmark for (2956ds/150Mi)
% 44.09/9.20  % (357145)Instruction limit reached! 
% 44.09/9.20  % (357145)------------------------------
% 44.09/9.20  % (357145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357145)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357145)Termination reason: Instruction limit
% 44.09/9.20  % (357145)Termination phase: Preprocessing 3
% 44.09/9.20  % (357145)Time elapsed: 0.167 s
% 44.09/9.20  % (357145)Peak memory usage: 104 MB
% 44.09/9.20  % (357145)Instructions burned: 150 (million)
% 44.09/9.20  % (357146)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3935339605:i=14155:bd=all_2954 on theBenchmark for (2954ds/14155Mi)
% 44.09/9.20  % (357148)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2086000435:i=667:av=off:fsr=off_2952 on theBenchmark for (2952ds/667Mi)
% 44.09/9.20  % (357148)Instruction limit reached! 
% 44.09/9.20  % (357148)------------------------------
% 44.09/9.20  % (357148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357148)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357148)Termination reason: Instruction limit
% 44.09/9.20  % (357148)Termination phase: Saturation
% 44.09/9.20  % (357148)Time elapsed: 0.649 s
% 44.09/9.20  % (357148)Peak memory usage: 117 MB
% 44.09/9.20  % (357148)Instructions burned: 667 (million)
% 44.09/9.20  % (357154)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=845607377:s2a=on:i=185:s2at=1.8:fdi=4_2942 on theBenchmark for (2942ds/185Mi)
% 44.09/9.20  % (357154)Instruction limit reached! 
% 44.09/9.20  % (357154)------------------------------
% 44.09/9.20  % (357154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357154)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357154)Termination reason: Instruction limit
% 44.09/9.20  % (357154)Termination phase: NewCNF
% 44.09/9.20  % (357154)Time elapsed: 0.213 s
% 44.09/9.20  % (357154)Peak memory usage: 106 MB
% 44.09/9.20  % (357154)Instructions burned: 185 (million)
% 44.09/9.20  % (357127)Instruction limit reached! 
% 44.09/9.20  % (357127)------------------------------
% 44.09/9.20  % (357127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357127)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357127)Termination reason: Instruction limit
% 44.09/9.20  % (357127)Termination phase: Saturation
% 44.09/9.20  % (357127)Time elapsed: 3.712 s
% 44.09/9.20  % (357127)Peak memory usage: 172 MB
% 44.09/9.20  % (357127)Instructions burned: 5203 (million)
% 44.09/9.20  % (357159)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1252889884:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2937 on theBenchmark for (2937ds/193Mi)
% 44.09/9.20  % (357159)Instruction limit reached! 
% 44.09/9.20  % (357159)------------------------------
% 44.09/9.20  % (357159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357159)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357159)Termination reason: Instruction limit
% 44.09/9.20  % (357159)Termination phase: Saturation
% 44.09/9.20  % (357159)Time elapsed: 0.195 s
% 44.09/9.20  % (357159)Peak memory usage: 103 MB
% 44.09/9.20  % (357159)Instructions burned: 194 (million)
% 44.09/9.20  % (357162)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1361885405:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2934 on theBenchmark for (2934ds/4850Mi)
% 44.09/9.20  % (357166)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=912269965:i=12111:sd=1:ss=included_2932 on theBenchmark for (2932ds/12111Mi)
% 44.09/9.20  % (357087)First to succeed.
% 44.09/9.20  % (357087)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-357080"
% 44.09/9.20  % (357166)Refutation not found, incomplete strategy
% 44.09/9.20  % (357166)------------------------------
% 44.09/9.20  % (357166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.09/9.20  % (357166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.09/9.20  % (357166)CaDiCaL version: 2.1.3
% 44.09/9.20  % (357166)Termination reason: Refutation not found, incomplete strategy
% 44.09/9.20  % (357166)Time elapsed: 1.279 s
% 44.09/9.20  % (357166)Peak memory usage: 167 MB
% 44.09/9.20  % (357166)Instructions burned: 1207 (million)
% 44.09/9.20  % (357087)Refutation found. Thanks to Tanya!
% 44.09/9.20  % SZS status ContradictoryAxioms for theBenchmark
% 44.09/9.20  % SZS output start Proof for theBenchmark
% See solution above
% 56.13/9.55  % (357087)------------------------------
% 56.13/9.55  % (357087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.13/9.55  % (357087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.13/9.55  % (357087)CaDiCaL version: 2.1.3
% 56.13/9.55  % (357087)Termination reason: Refutation
% 56.13/9.55  % (357087)Time elapsed: 6.957 s
% 56.13/9.55  % (357087)Peak memory usage: 310 MB
% 56.13/9.55  % (357087)Instructions burned: 7180 (million)
% 56.13/9.55  % (357087)------------------------------
% 56.13/9.55  % (357087)------------------------------
% 56.13/9.55  % (357080)Success in time 8.389 s
% 56.13/9.55  % Vampire exiting
%------------------------------------------------------------------------------