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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR088+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:42:50 AM UTC 2026

% Result   : ContradictoryAxioms 25.99s 8.04s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   86 (  13 unt;  10 def)
%            Number of atoms       :  365 (   9 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  445 ( 166   ~; 155   |; 105   &)
%                                         (  13 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  10 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-3 aty)
%            Number of variables   :  112 (   0 sgn  88   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1365,axiom,
    ! [X0] :
      ( s__instance(X0,s__Chain)
     => ? [X1,X2,X3] :
          ( s__instance(X3,s__Object)
          & s__instance(X2,s__Object)
          & s__instance(X1,s__Object)
          & s__instance(X1,s__ChainLink)
          & s__instance(X2,s__ChainLink)
          & s__instance(X3,s__ChainLink)
          & ~ s__equals(X1,X2)
          & ~ s__equals(X2,X3)
          & ~ s__equals(X3,X1)
          & s__crosses(X1,X2)
          & s__crosses(X2,X3)
          & ~ s__crosses(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_1399) ).

fof(f27191,axiom,
    ! [X0] : s__instance(X0,s__Entity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_27371) ).

fof(f28244,axiom,
    ! [X0,X1,X2] :
      ( ( s__instance(X2,s__Object)
        & s__instance(X1,s__Object)
        & s__instance(X0,s__Object) )
     => ( ( s__crosses(X0,X1)
          & s__crosses(X1,X2) )
       => s__crosses(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_28426) ).

fof(f32412,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/sandbox/benchmark/theBenchmark.p',kb_SUMO_32603) ).

fof(f145421,plain,
    ! [X0] :
      ( s__instance(X0,s__Chain)
     => ? [X1,X2,X3] :
          ( s__instance(X3,s__Object)
          & s__instance(X2,s__Object)
          & s__instance(X1,s__Object)
          & s__instance(X1,s__ChainLink)
          & s__instance(X2,s__ChainLink)
          & s__instance(X3,s__ChainLink)
          & s__crosses(X1,X2)
          & s__crosses(X2,X3)
          & ~ s__crosses(X1,X3) ) ),
    inference(pure_predicate_removal,[],[f1365]) ).

fof(f145681,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,[],[f32412]) ).

fof(f145682,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,[],[f145681]) ).

fof(f146098,plain,
    ! [X0,X1,X2] :
      ( s__crosses(X0,X2)
      | ~ s__crosses(X0,X1)
      | ~ s__crosses(X1,X2)
      | ~ s__instance(X2,s__Object)
      | ~ s__instance(X1,s__Object)
      | ~ s__instance(X0,s__Object) ),
    inference(ennf_transformation,[],[f28244]) ).

fof(f146099,plain,
    ! [X0,X1,X2] :
      ( s__crosses(X0,X2)
      | ~ s__crosses(X0,X1)
      | ~ s__crosses(X1,X2)
      | ~ s__instance(X2,s__Object)
      | ~ s__instance(X1,s__Object)
      | ~ s__instance(X0,s__Object) ),
    inference(flattening,[],[f146098]) ).

fof(f146105,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( s__instance(X3,s__Object)
          & s__instance(X2,s__Object)
          & s__instance(X1,s__Object)
          & s__instance(X1,s__ChainLink)
          & s__instance(X2,s__ChainLink)
          & s__instance(X3,s__ChainLink)
          & s__crosses(X1,X2)
          & s__crosses(X2,X3)
          & ~ s__crosses(X1,X3) )
      | ~ s__instance(X0,s__Chain) ),
    inference(ennf_transformation,[],[f145421]) ).

fof(f146477,definition,
    ! [X1,X2,X0] :
      ( sP0(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,[sP0])],[predicate_definition_introduction]) ).

fof(f146478,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> sP0(X1,X2,X0) ),
    inference(definition_folding,[],[f145682,f146477]) ).

fof(f146496,definition,
    ( ? [X1,X2,X3] :
        ( s__instance(X3,s__Object)
        & s__instance(X2,s__Object)
        & s__instance(X1,s__Object)
        & s__instance(X1,s__ChainLink)
        & s__instance(X2,s__ChainLink)
        & s__instance(X3,s__ChainLink)
        & s__crosses(X1,X2)
        & s__crosses(X2,X3)
        & ~ s__crosses(X1,X3) )
    | ~ sP10 ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f146497,plain,
    ! [X0] :
      ( sP10
      | ~ s__instance(X0,s__Chain) ),
    inference(definition_folding,[],[f146105,f146496]) ).

fof(f146555,plain,
    ! [X1,X2,X0] :
      ( ( sP0(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) )
        | ~ sP0(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f146477]) ).

fof(f146556,plain,
    ! [X0,X1,X2] :
      ( ( sP0(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) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f146555]) ).

fof(f146557,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( ~ s__instance(sK41(X0,X1,X2),X0)
            | ~ s__instance(sK42(X0,X1,X2),X0)
            | ( ~ s__instance(sK43(X0,X1,X2),X1)
              & ~ s__instance(sK43(X0,X1,X2),X2) ) )
          & s__instance(sK41(X0,X1,X2),X1)
          & s__instance(sK42(X0,X1,X2),X2)
          & s__instance(sK43(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) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK41,sK42,sK43]),skolemize(X3,sK41(X0,X1,X2)),skolemize(X4,sK42(X0,X1,X2)),skolemize(X5,sK43(X0,X1,X2))],[f146556]) ).

fof(f146558,plain,
    ! [X0,X1,X2] :
      ( ( X1 = s__UnionFn(X2,X0)
        | ~ sP0(X1,X2,X0) )
      & ( sP0(X1,X2,X0)
        | s__UnionFn(X2,X0) != X1 ) ),
    inference(nnf_transformation,[],[f146478]) ).

fof(f146652,plain,
    ( ? [X1,X2,X3] :
        ( s__instance(X3,s__Object)
        & s__instance(X2,s__Object)
        & s__instance(X1,s__Object)
        & s__instance(X1,s__ChainLink)
        & s__instance(X2,s__ChainLink)
        & s__instance(X3,s__ChainLink)
        & s__crosses(X1,X2)
        & s__crosses(X2,X3)
        & ~ s__crosses(X1,X3) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f146496]) ).

fof(f146653,plain,
    ( ? [X0,X1,X2] :
        ( s__instance(X2,s__Object)
        & s__instance(X1,s__Object)
        & s__instance(X0,s__Object)
        & s__instance(X0,s__ChainLink)
        & s__instance(X1,s__ChainLink)
        & s__instance(X2,s__ChainLink)
        & s__crosses(X0,X1)
        & s__crosses(X1,X2)
        & ~ s__crosses(X0,X2) )
    | ~ sP10 ),
    inference(rectify,[],[f146652]) ).

fof(f146654,plain,
    ( ( s__instance(sK146,s__Object)
      & s__instance(sK145,s__Object)
      & s__instance(sK144,s__Object)
      & s__instance(sK144,s__ChainLink)
      & s__instance(sK145,s__ChainLink)
      & s__instance(sK146,s__ChainLink)
      & s__crosses(sK144,sK145)
      & s__crosses(sK145,sK146)
      & ~ s__crosses(sK144,sK146) )
    | ~ sP10 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK144,sK145,sK146]),skolemize(X0,sK144),skolemize(X1,sK145),skolemize(X2,sK146)],[f146653]) ).

fof(f147099,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK42(X0,X1,X2),X2)
      | sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f146557]) ).

fof(f147104,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X1,X2,X0)
      | s__UnionFn(X2,X0) = X1 ),
    inference(cnf_transformation,[],[f146558]) ).

fof(f147216,plain,
    ! [X0] : s__instance(X0,s__Entity),
    inference(cnf_transformation,[],[f27191]) ).

fof(f148190,plain,
    ! [X2,X0,X1] :
      ( ~ s__crosses(X1,X2)
      | ~ s__crosses(X0,X1)
      | s__crosses(X0,X2)
      | ~ s__instance(X2,s__Object)
      | ~ s__instance(X1,s__Object)
      | ~ s__instance(X0,s__Object) ),
    inference(cnf_transformation,[],[f146099]) ).

fof(f148194,plain,
    ( ~ s__crosses(sK144,sK146)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146654]) ).

fof(f148195,plain,
    ( s__crosses(sK145,sK146)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146654]) ).

fof(f148196,plain,
    ( s__crosses(sK144,sK145)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146654]) ).

fof(f148200,plain,
    ( s__instance(sK144,s__Object)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146654]) ).

fof(f148201,plain,
    ( s__instance(sK145,s__Object)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146654]) ).

fof(f148202,plain,
    ( s__instance(sK146,s__Object)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146654]) ).

fof(f148203,plain,
    ! [X0] :
      ( sP10
      | ~ s__instance(X0,s__Chain) ),
    inference(cnf_transformation,[],[f146497]) ).

fof(f149902,definition,
    ( spl237_9
  <=> ! [X0] : ~ s__instance(X0,s__Chain) ),
    introduced(definition,[new_symbols(definition,[spl237_9])],[avatar_definition]) ).

fof(f149903,plain,
    ( ! [X0] : ~ s__instance(X0,s__Chain)
    | ~ spl237_9 ),
    inference(avatar_component_clause,[],[f149902]) ).

fof(f149905,definition,
    ( spl237_10
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl237_10])],[avatar_definition]) ).

fof(f149908,plain,
    ( spl237_9
    | spl237_10 ),
    inference(avatar_split_clause,[],[f148203,f149905,f149902]) ).

fof(f149910,definition,
    ( spl237_11
  <=> s__crosses(sK144,sK146) ),
    introduced(definition,[new_symbols(definition,[spl237_11])],[avatar_definition]) ).

fof(f149912,plain,
    ( ~ s__crosses(sK144,sK146)
    | spl237_11 ),
    inference(avatar_component_clause,[],[f149910]) ).

fof(f149913,plain,
    ( ~ spl237_10
    | ~ spl237_11 ),
    inference(avatar_split_clause,[],[f148194,f149910,f149905]) ).

fof(f149915,definition,
    ( spl237_12
  <=> s__crosses(sK145,sK146) ),
    introduced(definition,[new_symbols(definition,[spl237_12])],[avatar_definition]) ).

fof(f149917,plain,
    ( s__crosses(sK145,sK146)
    | ~ spl237_12 ),
    inference(avatar_component_clause,[],[f149915]) ).

fof(f149918,plain,
    ( ~ spl237_10
    | spl237_12 ),
    inference(avatar_split_clause,[],[f148195,f149915,f149905]) ).

fof(f149920,definition,
    ( spl237_13
  <=> s__crosses(sK144,sK145) ),
    introduced(definition,[new_symbols(definition,[spl237_13])],[avatar_definition]) ).

fof(f149922,plain,
    ( s__crosses(sK144,sK145)
    | ~ spl237_13 ),
    inference(avatar_component_clause,[],[f149920]) ).

fof(f149923,plain,
    ( ~ spl237_10
    | spl237_13 ),
    inference(avatar_split_clause,[],[f148196,f149920,f149905]) ).

fof(f149940,definition,
    ( spl237_17
  <=> s__instance(sK144,s__Object) ),
    introduced(definition,[new_symbols(definition,[spl237_17])],[avatar_definition]) ).

fof(f149942,plain,
    ( s__instance(sK144,s__Object)
    | ~ spl237_17 ),
    inference(avatar_component_clause,[],[f149940]) ).

fof(f149943,plain,
    ( ~ spl237_10
    | spl237_17 ),
    inference(avatar_split_clause,[],[f148200,f149940,f149905]) ).

fof(f149945,definition,
    ( spl237_18
  <=> s__instance(sK145,s__Object) ),
    introduced(definition,[new_symbols(definition,[spl237_18])],[avatar_definition]) ).

fof(f149947,plain,
    ( s__instance(sK145,s__Object)
    | ~ spl237_18 ),
    inference(avatar_component_clause,[],[f149945]) ).

fof(f149948,plain,
    ( ~ spl237_10
    | spl237_18 ),
    inference(avatar_split_clause,[],[f148201,f149945,f149905]) ).

fof(f149950,definition,
    ( spl237_19
  <=> s__instance(sK146,s__Object) ),
    introduced(definition,[new_symbols(definition,[spl237_19])],[avatar_definition]) ).

fof(f149952,plain,
    ( s__instance(sK146,s__Object)
    | ~ spl237_19 ),
    inference(avatar_component_clause,[],[f149950]) ).

fof(f149953,plain,
    ( ~ spl237_10
    | spl237_19 ),
    inference(avatar_split_clause,[],[f148202,f149950,f149905]) ).

fof(f150109,plain,
    ( ! [X0,X1] : sP0(X0,X1,s__Chain)
    | ~ spl237_9 ),
    inference(resolution,[],[f147099,f149903]) ).

fof(f150112,plain,
    ( ! [X0,X1] : s__UnionFn(X0,s__Chain) = X1
    | ~ spl237_9 ),
    inference(resolution,[],[f150109,f147104]) ).

fof(f150113,plain,
    ( ! [X2,X0] : X0 = X2
    | ~ spl237_9 ),
    inference(superposition,[],[f150112,f150112]) ).

fof(f150122,plain,
    ( ! [X0,X1] : ~ s__instance(X1,X0)
    | ~ spl237_9 ),
    inference(superposition,[],[f149903,f150113]) ).

fof(f150139,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl237_9 ),
    inference(superposition,[],[f147216,f150113]) ).

fof(f150169,plain,
    ( $false
    | ~ spl237_9 ),
    inference(forward_subsumption_resolution,[],[f150139,f150122]) ).

fof(f150170,plain,
    ~ spl237_9,
    inference(avatar_contradiction_clause,[],[f150169]) ).

fof(f150238,plain,
    ( ! [X0] :
        ( ~ s__crosses(X0,sK145)
        | s__crosses(X0,sK146)
        | ~ s__instance(sK146,s__Object)
        | ~ s__instance(sK145,s__Object)
        | ~ s__instance(X0,s__Object) )
    | ~ spl237_12 ),
    inference(resolution,[],[f148190,f149917]) ).

fof(f150241,plain,
    ( ! [X0] :
        ( ~ s__crosses(X0,sK145)
        | s__crosses(X0,sK146)
        | ~ s__instance(sK145,s__Object)
        | ~ s__instance(X0,s__Object) )
    | ~ spl237_12
    | ~ spl237_19 ),
    inference(forward_subsumption_resolution,[],[f150238,f149952]) ).

fof(f150243,plain,
    ( ! [X0] :
        ( ~ s__crosses(X0,sK145)
        | s__crosses(X0,sK146)
        | ~ s__instance(X0,s__Object) )
    | ~ spl237_12
    | ~ spl237_18
    | ~ spl237_19 ),
    inference(forward_subsumption_resolution,[],[f150241,f149947]) ).

fof(f150244,plain,
    ( s__crosses(sK144,sK146)
    | ~ s__instance(sK144,s__Object)
    | ~ spl237_12
    | ~ spl237_13
    | ~ spl237_18
    | ~ spl237_19 ),
    inference(resolution,[],[f150243,f149922]) ).

fof(f150245,plain,
    ( ~ s__instance(sK144,s__Object)
    | spl237_11
    | ~ spl237_12
    | ~ spl237_13
    | ~ spl237_18
    | ~ spl237_19 ),
    inference(forward_subsumption_resolution,[],[f150244,f149912]) ).

fof(f150246,plain,
    ( $false
    | spl237_11
    | ~ spl237_12
    | ~ spl237_13
    | ~ spl237_17
    | ~ spl237_18
    | ~ spl237_19 ),
    inference(forward_subsumption_resolution,[],[f150245,f149942]) ).

fof(f150247,plain,
    ( spl237_11
    | ~ spl237_12
    | ~ spl237_13
    | ~ spl237_17
    | ~ spl237_18
    | ~ spl237_19 ),
    inference(avatar_contradiction_clause,[],[f150246]) ).

cnf(s5,plain,
    ( spl237_9
    | spl237_10 ),
    inference(sat_conversion,[],[f149908]) ).

cnf(s6,plain,
    ( ~ spl237_10
    | ~ spl237_11 ),
    inference(sat_conversion,[],[f149913]) ).

cnf(s7,plain,
    ( ~ spl237_10
    | spl237_12 ),
    inference(sat_conversion,[],[f149918]) ).

cnf(s8,plain,
    ( ~ spl237_10
    | spl237_13 ),
    inference(sat_conversion,[],[f149923]) ).

cnf(s12,plain,
    ( ~ spl237_10
    | spl237_17 ),
    inference(sat_conversion,[],[f149943]) ).

cnf(s13,plain,
    ( ~ spl237_10
    | spl237_18 ),
    inference(sat_conversion,[],[f149948]) ).

cnf(s14,plain,
    ( ~ spl237_10
    | spl237_19 ),
    inference(sat_conversion,[],[f149953]) ).

cnf(s44,plain,
    ~ spl237_9,
    inference(sat_conversion,[],[f150170]) ).

cnf(s53,plain,
    ( spl237_11
    | ~ spl237_12
    | ~ spl237_13
    | ~ spl237_17
    | ~ spl237_18
    | ~ spl237_19 ),
    inference(sat_conversion,[],[f150247]) ).

cnf(s54,plain,
    spl237_10,
    inference(rat,[],[s5,s44]) ).

cnf(s55,plain,
    spl237_19,
    inference(rat,[],[s14,s54]) ).

cnf(s56,plain,
    spl237_18,
    inference(rat,[],[s13,s54]) ).

cnf(s57,plain,
    spl237_17,
    inference(rat,[],[s12,s54]) ).

cnf(s61,plain,
    spl237_13,
    inference(rat,[],[s8,s54]) ).

cnf(s62,plain,
    spl237_12,
    inference(rat,[],[s7,s54]) ).

cnf(s63,plain,
    ~ spl237_11,
    inference(rat,[],[s6,s54]) ).

cnf(s65,plain,
    $false,
    inference(rat,[],[s53,s55,s56,s57,s61,s62,s63]) ).

fof(f150248,plain,
    $false,
    inference(avatar_sat_refutation,[],[s65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR088+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19  % Computer : n002.cluster.edu
% 0.06/0.19  % Model    : x86_64 x86_64
% 0.06/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19  % Memory   : 8046.5625MB
% 0.06/0.19  % OS       : Linux 6.8.0-71-generic
% 0.06/0.19  % CPULimit : 300
% 0.06/0.19  % WCLimit  : 300
% 0.06/0.19  % DateTime : Mon Sep 28 22:40:53 UTC 2026
% 0.06/0.20  % CPUTime  : 
% 0.06/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23  Running first-order theorem proving
% 0.06/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.51/5.44  % (858554)Detected formulas, will run a generic FOF schedule.
% 16.51/5.44  % (858560)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=2916301259:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2971 on theBenchmark for (2971ds/134677Mi)
% 16.51/5.44  % (858559)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=2047215797:i=141193_2971 on theBenchmark for (2971ds/141193Mi)
% 16.51/5.44  % (858564)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=298403530:s2a=on:i=139:gtg=position_2971 on theBenchmark for (2971ds/139Mi)
% 16.51/5.44  % (858562)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3862920508:i=109:sd=1:ins=1:gsp=on:ss=axioms_2971 on theBenchmark for (2971ds/109Mi)
% 16.51/5.44  % (858561)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=3894691257:i=141695:sd=1:nm=32:gsp=on:ss=included_2971 on theBenchmark for (2971ds/141695Mi)
% 16.51/5.44  % (858565)dis-21_1_sil=8000:lcm=predicate:random_seed=544968862:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2971 on theBenchmark for (2971ds/129Mi)
% 16.51/5.44  % (858563)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=865203574:i=119:av=off:ss=axioms_2971 on theBenchmark for (2971ds/119Mi)
% 16.51/5.44  % (858562)Instruction limit reached! 
% 16.51/5.44  % (858562)------------------------------
% 16.51/5.44  % (858562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/5.44  % (858562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/5.44  % (858562)CaDiCaL version: 2.1.3
% 16.51/5.44  % (858562)Termination reason: Instruction limit
% 16.51/5.44  % (858562)Termination phase: SInE selection
% 16.51/5.44  % (858562)Time elapsed: 0.060 s
% 16.51/5.44  % (858562)Peak memory usage: 164 MB
% 16.51/5.44  % (858562)Instructions burned: 109 (million)
% 16.51/5.44  % (858563)Instruction limit reached! 
% 16.51/5.44  % (858563)------------------------------
% 16.51/5.44  % (858563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/5.44  % (858563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/5.44  % (858563)CaDiCaL version: 2.1.3
% 16.51/5.44  % (858563)Termination reason: Instruction limit
% 16.51/5.44  % (858563)Termination phase: SInE selection
% 16.51/5.44  % (858563)Time elapsed: 0.064 s
% 16.51/5.44  % (858563)Peak memory usage: 165 MB
% 16.51/5.44  % (858563)Instructions burned: 120 (million)
% 16.51/5.44  % (858565)Instruction limit reached! 
% 16.51/5.44  % (858565)------------------------------
% 16.51/5.44  % (858565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/5.44  % (858565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/5.44  % (858565)CaDiCaL version: 2.1.3
% 16.51/5.44  % (858565)Termination reason: Instruction limit
% 16.51/5.44  % (858565)Termination phase: SInE selection
% 16.51/5.44  % (858565)Time elapsed: 0.067 s
% 16.51/5.44  % (858565)Peak memory usage: 164 MB
% 16.51/5.44  % (858565)Instructions burned: 130 (million)
% 16.51/5.44  % (858564)Instruction limit reached! 
% 16.51/5.44  % (858564)------------------------------
% 16.51/5.44  % (858564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/5.44  % (858564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/5.44  % (858564)CaDiCaL version: 2.1.3
% 16.51/5.44  % (858564)Termination reason: Instruction limit
% 16.51/5.44  % (858564)Termination phase: Property scanning
% 16.51/5.44  % (858564)Time elapsed: 0.076 s
% 16.51/5.44  % (858564)Peak memory usage: 165 MB
% 16.51/5.44  % (858564)Instructions burned: 140 (million)
% 16.51/5.44  % (858573)lrs+10_1_sil=8000:sp=occurrence:random_seed=1892013620:i=285:sd=3:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/285Mi)
% 16.51/5.44  % (858575)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2338848226:i=325:sd=1:ss=axioms:sgt=32_2969 on theBenchmark for (2969ds/325Mi)
% 16.51/5.44  % (858574)lrs+10_1_sil=32000:urr=on:br=off:random_seed=613467884:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/157Mi)
% 16.51/5.44  % (858576)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=4043443967:s2a=on:i=248:s2at=1.23:gtg=position_2969 on theBenchmark for (2969ds/248Mi)
% 16.51/5.44  % (858574)Instruction limit reached! 
% 16.51/5.44  % (858574)------------------------------
% 24.34/6.57  % (858574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.34/6.57  % (858574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.34/6.57  % (858574)CaDiCaL version: 2.1.3
% 24.34/6.57  % (858574)Termination reason: Instruction limit
% 24.34/6.57  % (858574)Termination phase: Property scanning
% 24.34/6.57  % (858574)Time elapsed: 0.085 s
% 24.34/6.57  % (858574)Peak memory usage: 165 MB
% 24.34/6.57  % (858574)Instructions burned: 159 (million)
% 24.34/6.57  % (858576)Instruction limit reached! 
% 24.34/6.57  % (858576)------------------------------
% 24.34/6.57  % (858576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.34/6.57  % (858576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.34/6.57  % (858576)CaDiCaL version: 2.1.3
% 24.34/6.57  % (858576)Termination reason: Instruction limit
% 24.34/6.57  % (858576)Termination phase: Property scanning
% 24.34/6.57  % (858576)Time elapsed: 0.123 s
% 24.34/6.57  % (858576)Peak memory usage: 165 MB
% 24.34/6.57  % (858576)Instructions burned: 249 (million)
% 24.34/6.57  % (858573)Instruction limit reached! 
% 24.34/6.57  % (858573)------------------------------
% 24.34/6.57  % (858573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.34/6.57  % (858573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.34/6.57  % (858573)CaDiCaL version: 2.1.3
% 24.34/6.57  % (858573)Termination reason: Instruction limit
% 24.34/6.57  % (858573)Termination phase: SInE selection
% 24.34/6.57  % (858573)Time elapsed: 0.159 s
% 24.34/6.57  % (858573)Peak memory usage: 165 MB
% 24.34/6.57  % (858573)Instructions burned: 286 (million)
% 24.34/6.57  % (858575)Instruction limit reached! 
% 24.34/6.57  % (858575)------------------------------
% 24.34/6.57  % (858575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.34/6.57  % (858575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.34/6.57  % (858575)CaDiCaL version: 2.1.3
% 24.34/6.57  % (858575)Termination reason: Instruction limit
% 24.34/6.57  % (858575)Termination phase: SInE selection
% 24.34/6.57  % (858575)Time elapsed: 0.172 s
% 24.34/6.57  % (858575)Peak memory usage: 165 MB
% 24.34/6.57  % (858575)Instructions burned: 327 (million)
% 24.34/6.57  % (858581)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1069275977:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2967 on theBenchmark for (2967ds/294Mi)
% 24.34/6.57  % (858583)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4261227972:cts=off:i=113:fsr=off:ss=included:sgt=4_2966 on theBenchmark for (2966ds/113Mi)
% 24.34/6.57  % (858582)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3131337124:i=2350_2966 on theBenchmark for (2966ds/2350Mi)
% 24.34/6.57  % (858584)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2533391449:i=127:av=off:fsr=off:sup=off_2966 on theBenchmark for (2966ds/127Mi)
% 24.34/6.57  % (858583)Instruction limit reached! 
% 24.34/6.57  % (858583)------------------------------
% 24.34/6.57  % (858583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.34/6.57  % (858583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.34/6.57  % (858583)CaDiCaL version: 2.1.3
% 24.34/6.57  % (858583)Termination reason: Instruction limit
% 24.34/6.57  % (858583)Termination phase: SInE selection
% 24.34/6.57  % (858583)Time elapsed: 0.068 s
% 24.34/6.57  % (858583)Peak memory usage: 165 MB
% 24.34/6.57  % (858583)Instructions burned: 113 (million)
% 24.34/6.57  % (858581)Instruction limit reached! 
% 24.34/6.57  % (858581)------------------------------
% 24.34/6.57  % (858581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.34/6.57  % (858581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.34/6.57  % (858581)CaDiCaL version: 2.1.3
% 24.34/6.57  % (858581)Termination reason: Instruction limit
% 24.34/6.57  % (858581)Termination phase: SInE selection
% 24.34/6.57  % (858581)Time elapsed: 0.160 s
% 24.34/6.57  % (858581)Peak memory usage: 165 MB
% 24.34/6.57  % (858581)Instructions burned: 296 (million)
% 24.34/6.57  % (858584)Instruction limit reached! 
% 24.34/6.57  % (858584)------------------------------
% 24.34/6.57  % (858584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.34/6.57  % (858584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.34/6.57  % (858584)CaDiCaL version: 2.1.3
% 24.34/6.57  % (858584)Termination reason: Instruction limit
% 24.34/6.57  % (858584)Termination phase: Preprocessing 1
% 24.34/6.57  % (858584)Time elapsed: 0.087 s
% 25.99/8.04  % (858584)Peak memory usage: 165 MB
% 25.99/8.04  % (858584)Instructions burned: 127 (million)
% 25.99/8.04  % (858589)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2962928509:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2964 on theBenchmark for (2964ds/114Mi)
% 25.99/8.04  % (858589)Instruction limit reached! 
% 25.99/8.04  % (858589)------------------------------
% 25.99/8.04  % (858589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858589)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858589)Termination reason: Instruction limit
% 25.99/8.04  % (858589)Termination phase: Property scanning
% 25.99/8.04  % (858589)Time elapsed: 0.064 s
% 25.99/8.04  % (858589)Peak memory usage: 165 MB
% 25.99/8.04  % (858589)Instructions burned: 115 (million)
% 25.99/8.04  % (858590)lrs+10_1_sil=8000:sp=occurrence:random_seed=185721237:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2964 on theBenchmark for (2964ds/907Mi)
% 25.99/8.04  % (858591)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2277909635:i=437:sd=1:aac=none:ss=included_2963 on theBenchmark for (2963ds/437Mi)
% 25.99/8.04  % (858595)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4135214339:i=5202:ss=axioms:sgt=16_2962 on theBenchmark for (2962ds/5202Mi)
% 25.99/8.04  % (858591)Refutation not found, incomplete strategy
% 25.99/8.04  % (858591)------------------------------
% 25.99/8.04  % (858591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858591)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858591)Termination reason: Refutation not found, incomplete strategy
% 25.99/8.04  % (858591)Time elapsed: 0.256 s
% 25.99/8.04  % (858591)Peak memory usage: 169 MB
% 25.99/8.04  % (858591)Instructions burned: 396 (million)
% 25.99/8.04  % (858590)Instruction limit reached! 
% 25.99/8.04  % (858590)------------------------------
% 25.99/8.04  % (858590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858590)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858590)Termination reason: Instruction limit
% 25.99/8.04  % (858590)Termination phase: Saturation
% 25.99/8.04  % (858590)Time elapsed: 0.540 s
% 25.99/8.04  % (858590)Peak memory usage: 174 MB
% 25.99/8.04  % (858590)Instructions burned: 908 (million)
% 25.99/8.04  % (858591)------------------------------
% 25.99/8.04  % (858591)------------------------------
% 25.99/8.04  % (858597)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1233994873:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2957 on theBenchmark for (2957ds/134Mi)
% 25.99/8.04  % (858598)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1959589266:st=8:i=592:sd=3:ep=RST:ss=axioms_2956 on theBenchmark for (2956ds/592Mi)
% 25.99/8.04  % (858597)Instruction limit reached! 
% 25.99/8.04  % (858597)------------------------------
% 25.99/8.04  % (858597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858597)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858597)Termination reason: Instruction limit
% 25.99/8.04  % (858597)Termination phase: SInE selection
% 25.99/8.04  % (858597)Time elapsed: 0.081 s
% 25.99/8.04  % (858597)Peak memory usage: 165 MB
% 25.99/8.04  % (858597)Instructions burned: 136 (million)
% 25.99/8.04  % (858601)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2587066067:st=3:i=13193:sd=3:ss=axioms_2954 on theBenchmark for (2954ds/13193Mi)
% 25.99/8.04  % (858582)Instruction limit reached! 
% 25.99/8.04  % (858582)------------------------------
% 25.99/8.04  % (858582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858582)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858582)Termination reason: Instruction limit
% 25.99/8.04  % (858582)Termination phase: Property scanning
% 25.99/8.04  % (858582)Time elapsed: 1.235 s
% 25.99/8.04  % (858582)Peak memory usage: 194 MB
% 25.99/8.04  % (858582)Instructions burned: 2352 (million)
% 25.99/8.04  % (858598)Instruction limit reached! 
% 25.99/8.04  % (858598)------------------------------
% 25.99/8.04  % (858598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858598)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858598)Termination reason: Instruction limit
% 25.99/8.04  % (858598)Termination phase: Preprocessing 1
% 25.99/8.04  % (858598)Time elapsed: 0.333 s
% 25.99/8.04  % (858598)Peak memory usage: 167 MB
% 25.99/8.04  % (858598)Instructions burned: 592 (million)
% 25.99/8.04  % (858603)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=3226422502:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2952 on theBenchmark for (2952ds/125Mi)
% 25.99/8.04  % (858603)Instruction limit reached! 
% 25.99/8.04  % (858603)------------------------------
% 25.99/8.04  % (858603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858603)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858603)Termination reason: Instruction limit
% 25.99/8.04  % (858603)Termination phase: Property scanning
% 25.99/8.04  % (858603)Time elapsed: 0.069 s
% 25.99/8.04  % (858603)Peak memory usage: 165 MB
% 25.99/8.04  % (858603)Instructions burned: 125 (million)
% 25.99/8.04  % (858604)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1990538650:i=134:gtgl=5:slsql=off:gtg=exists_sym_2952 on theBenchmark for (2952ds/134Mi)
% 25.99/8.04  % (858604)Instruction limit reached! 
% 25.99/8.04  % (858604)------------------------------
% 25.99/8.04  % (858604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858604)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858604)Termination reason: Instruction limit
% 25.99/8.04  % (858604)Termination phase: Property scanning
% 25.99/8.04  % (858604)Time elapsed: 0.075 s
% 25.99/8.04  % (858604)Peak memory usage: 165 MB
% 25.99/8.04  % (858604)Instructions burned: 136 (million)
% 25.99/8.04  % (858607)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3108222824:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2950 on theBenchmark for (2950ds/141Mi)
% 25.99/8.04  % (858608)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=805243767:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2949 on theBenchmark for (2949ds/431Mi)
% 25.99/8.04  % (858607)Instruction limit reached! 
% 25.99/8.04  % (858607)------------------------------
% 25.99/8.04  % (858607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858607)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858607)Termination reason: Instruction limit
% 25.99/8.04  % (858607)Termination phase: SInE selection
% 25.99/8.04  % (858607)Time elapsed: 0.086 s
% 25.99/8.04  % (858607)Peak memory usage: 165 MB
% 25.99/8.04  % (858607)Instructions burned: 142 (million)
% 25.99/8.04  % (858611)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=785858955:i=6060:aac=none:ins=25_2948 on theBenchmark for (2948ds/6060Mi)
% 25.99/8.04  % (858608)Refutation not found, incomplete strategy
% 25.99/8.04  % (858608)------------------------------
% 25.99/8.04  % (858608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858608)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858608)Termination reason: Refutation not found, incomplete strategy
% 25.99/8.04  % (858608)Time elapsed: 0.252 s
% 25.99/8.04  % (858608)Peak memory usage: 170 MB
% 25.99/8.04  % (858608)Instructions burned: 399 (million)
% 25.99/8.04  % (858608)------------------------------
% 25.99/8.04  % (858608)------------------------------
% 25.99/8.04  % (858613)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=3486461711:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2943 on theBenchmark for (2943ds/150Mi)
% 25.99/8.04  % (858613)Instruction limit reached! 
% 25.99/8.04  % (858613)------------------------------
% 25.99/8.04  % (858613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858613)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858613)Termination reason: Instruction limit
% 25.99/8.04  % (858613)Termination phase: SInE selection
% 25.99/8.04  % (858613)Time elapsed: 0.085 s
% 25.99/8.04  % (858613)Peak memory usage: 165 MB
% 25.99/8.04  % (858613)Instructions burned: 151 (million)
% 25.99/8.04  % (858615)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1075476459:i=14155:bd=all_2940 on theBenchmark for (2940ds/14155Mi)
% 25.99/8.04  % (858601)First to succeed.
% 25.99/8.04  % (858595)Instruction limit reached! 
% 25.99/8.04  % (858595)------------------------------
% 25.99/8.04  % (858595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.99/8.04  % (858595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/8.04  % (858595)CaDiCaL version: 2.1.3
% 25.99/8.04  % (858595)Termination reason: Instruction limit
% 25.99/8.04  % (858595)Termination phase: Saturation
% 25.99/8.04  % (858595)Time elapsed: 3.080 s
% 25.99/8.04  % (858595)Peak memory usage: 265 MB
% 25.99/8.04  % (858595)Instructions burned: 5203 (million)
% 25.99/8.04  % (858601)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-858554"
% 25.99/8.04  % (858617)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1258319563:i=667:av=off:fsr=off_2930 on theBenchmark for (2930ds/667Mi)
% 25.99/8.04  % (858601)Refutation found. Thanks to Tanya!
% 25.99/8.04  % SZS status ContradictoryAxioms for theBenchmark
% 25.99/8.04  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/8.31  % (858601)------------------------------
% 0.19/8.31  % (858601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/8.31  % (858601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/8.31  % (858601)CaDiCaL version: 2.1.3
% 0.19/8.31  % (858601)Termination reason: Refutation
% 0.19/8.31  % (858601)Time elapsed: 2.302 s
% 0.19/8.31  % (858601)Peak memory usage: 298 MB
% 0.19/8.31  % (858601)Instructions burned: 3579 (million)
% 0.19/8.31  % (858601)------------------------------
% 0.19/8.31  % (858601)------------------------------
% 0.19/8.31  % (858554)Success in time 7.372 s
% 0.19/8.31  % Vampire exiting
%------------------------------------------------------------------------------