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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR107+3 : 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 : n009.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 09:43:06 AM UTC 2026

% Result   : ContradictoryAxioms 30.07s 7.79s
% Output   : Refutation 33.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  106 (   9 unt;  14 def)
%            Number of atoms       :  472 (   9 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  561 ( 195   ~; 178   |; 165   &)
%                                         (  16 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  14 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  20 con; 0-3 aty)
%            Number of variables   :  142 (   0 sgn  93   !;  49   ?)

% 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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_1399) ).

fof(f9741,axiom,
    ! [X0] :
      ( s__instance(X0,s__SpreadOption)
     => ? [X1,X2,X3,X4,X5] :
          ( s__instance(X5,s__TimePosition)
          & s__instance(X4,s__Process)
          & s__instance(X3,s__Process)
          & s__instance(X1,s__Option)
          & s__instance(X2,s__Option)
          & s__instance(X3,s__Buying)
          & s__instance(X4,s__Selling)
          & s__patient(X3,X1)
          & s__patient(X4,X2)
          & s__time(X3,X5)
          & s__time(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_9851) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_32603) ).

fof(f145103,axiom,
    s__instance(s__TimeInterval38_2,s__TimeInterval),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).

fof(f145443,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(f145703,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(f145704,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,[],[f145703]) ).

fof(f145898,plain,
    ! [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( s__instance(X5,s__TimePosition)
          & s__instance(X4,s__Process)
          & s__instance(X3,s__Process)
          & s__instance(X1,s__Option)
          & s__instance(X2,s__Option)
          & s__instance(X3,s__Buying)
          & s__instance(X4,s__Selling)
          & s__patient(X3,X1)
          & s__patient(X4,X2)
          & s__time(X3,X5)
          & s__time(X4,X5) )
      | ~ s__instance(X0,s__SpreadOption) ),
    inference(ennf_transformation,[],[f9741]) ).

fof(f146120,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(f146121,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,[],[f146120]) ).

fof(f146127,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,[],[f145443]) ).

fof(f146527,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(f146528,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> sP0(X1,X2,X0) ),
    inference(definition_folding,[],[f145704,f146527]) ).

fof(f146531,definition,
    ( ? [X1,X2,X3,X4,X5] :
        ( s__instance(X5,s__TimePosition)
        & s__instance(X4,s__Process)
        & s__instance(X3,s__Process)
        & s__instance(X1,s__Option)
        & s__instance(X2,s__Option)
        & s__instance(X3,s__Buying)
        & s__instance(X4,s__Selling)
        & s__patient(X3,X1)
        & s__patient(X4,X2)
        & s__time(X3,X5)
        & s__time(X4,X5) )
    | ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f146532,plain,
    ! [X0] :
      ( sP2
      | ~ s__instance(X0,s__SpreadOption) ),
    inference(definition_folding,[],[f145898,f146531]) ).

fof(f146546,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(f146547,plain,
    ! [X0] :
      ( sP10
      | ~ s__instance(X0,s__Chain) ),
    inference(definition_folding,[],[f146127,f146546]) ).

fof(f146605,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,[],[f146527]) ).

fof(f146606,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,[],[f146605]) ).

fof(f146607,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))],[f146606]) ).

fof(f146608,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,[],[f146528]) ).

fof(f146635,plain,
    ( ? [X1,X2,X3,X4,X5] :
        ( s__instance(X5,s__TimePosition)
        & s__instance(X4,s__Process)
        & s__instance(X3,s__Process)
        & s__instance(X1,s__Option)
        & s__instance(X2,s__Option)
        & s__instance(X3,s__Buying)
        & s__instance(X4,s__Selling)
        & s__patient(X3,X1)
        & s__patient(X4,X2)
        & s__time(X3,X5)
        & s__time(X4,X5) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f146531]) ).

fof(f146636,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( s__instance(X4,s__TimePosition)
        & s__instance(X3,s__Process)
        & s__instance(X2,s__Process)
        & s__instance(X0,s__Option)
        & s__instance(X1,s__Option)
        & s__instance(X2,s__Buying)
        & s__instance(X3,s__Selling)
        & s__patient(X2,X0)
        & s__patient(X3,X1)
        & s__time(X2,X4)
        & s__time(X3,X4) )
    | ~ sP2 ),
    inference(rectify,[],[f146635]) ).

fof(f146637,plain,
    ( ( s__instance(sK73,s__TimePosition)
      & s__instance(sK72,s__Process)
      & s__instance(sK71,s__Process)
      & s__instance(sK69,s__Option)
      & s__instance(sK70,s__Option)
      & s__instance(sK71,s__Buying)
      & s__instance(sK72,s__Selling)
      & s__patient(sK71,sK69)
      & s__patient(sK72,sK70)
      & s__time(sK71,sK73)
      & s__time(sK72,sK73) )
    | ~ sP2 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK69,sK70,sK71,sK72,sK73]),skolemize(X0,sK69),skolemize(X1,sK70),skolemize(X2,sK71),skolemize(X3,sK72),skolemize(X4,sK73)],[f146636]) ).

fof(f146701,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,[],[f146546]) ).

fof(f146702,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,[],[f146701]) ).

fof(f146703,plain,
    ( ( s__instance(sK147,s__Object)
      & s__instance(sK146,s__Object)
      & s__instance(sK145,s__Object)
      & s__instance(sK145,s__ChainLink)
      & s__instance(sK146,s__ChainLink)
      & s__instance(sK147,s__ChainLink)
      & s__crosses(sK145,sK146)
      & s__crosses(sK146,sK147)
      & ~ s__crosses(sK145,sK147) )
    | ~ sP10 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK145,sK146,sK147]),skolemize(X0,sK145),skolemize(X1,sK146),skolemize(X2,sK147)],[f146702]) ).

fof(f146832,plain,
    s__instance(s__TimeInterval38_2,s__TimeInterval),
    inference(cnf_transformation,[],[f145103]) ).

fof(f147162,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK42(X0,X1,X2),X2)
      | sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f146607]) ).

fof(f147167,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X1,X2,X0)
      | s__UnionFn(X2,X0) = X1 ),
    inference(cnf_transformation,[],[f146608]) ).

fof(f147427,plain,
    ( s__instance(sK73,s__TimePosition)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f146637]) ).

fof(f147428,plain,
    ! [X0] :
      ( sP2
      | ~ s__instance(X0,s__SpreadOption) ),
    inference(cnf_transformation,[],[f146532]) ).

fof(f148257,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,[],[f146121]) ).

fof(f148261,plain,
    ( ~ s__crosses(sK145,sK147)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146703]) ).

fof(f148262,plain,
    ( s__crosses(sK146,sK147)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146703]) ).

fof(f148263,plain,
    ( s__crosses(sK145,sK146)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146703]) ).

fof(f148267,plain,
    ( s__instance(sK145,s__Object)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146703]) ).

fof(f148268,plain,
    ( s__instance(sK146,s__Object)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146703]) ).

fof(f148269,plain,
    ( s__instance(sK147,s__Object)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146703]) ).

fof(f148270,plain,
    ! [X0] :
      ( sP10
      | ~ s__instance(X0,s__Chain) ),
    inference(cnf_transformation,[],[f146547]) ).

fof(f150109,definition,
    ( spl245_9
  <=> ! [X0] : ~ s__instance(X0,s__Chain) ),
    introduced(definition,[new_symbols(definition,[spl245_9])],[avatar_definition]) ).

fof(f150110,plain,
    ( ! [X0] : ~ s__instance(X0,s__Chain)
    | ~ spl245_9 ),
    inference(avatar_component_clause,[],[f150109]) ).

fof(f150112,definition,
    ( spl245_10
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl245_10])],[avatar_definition]) ).

fof(f150115,plain,
    ( spl245_9
    | spl245_10 ),
    inference(avatar_split_clause,[],[f148270,f150112,f150109]) ).

fof(f150117,definition,
    ( spl245_11
  <=> s__crosses(sK145,sK147) ),
    introduced(definition,[new_symbols(definition,[spl245_11])],[avatar_definition]) ).

fof(f150119,plain,
    ( ~ s__crosses(sK145,sK147)
    | spl245_11 ),
    inference(avatar_component_clause,[],[f150117]) ).

fof(f150120,plain,
    ( ~ spl245_10
    | ~ spl245_11 ),
    inference(avatar_split_clause,[],[f148261,f150117,f150112]) ).

fof(f150122,definition,
    ( spl245_12
  <=> s__crosses(sK146,sK147) ),
    introduced(definition,[new_symbols(definition,[spl245_12])],[avatar_definition]) ).

fof(f150124,plain,
    ( s__crosses(sK146,sK147)
    | ~ spl245_12 ),
    inference(avatar_component_clause,[],[f150122]) ).

fof(f150125,plain,
    ( ~ spl245_10
    | spl245_12 ),
    inference(avatar_split_clause,[],[f148262,f150122,f150112]) ).

fof(f150127,definition,
    ( spl245_13
  <=> s__crosses(sK145,sK146) ),
    introduced(definition,[new_symbols(definition,[spl245_13])],[avatar_definition]) ).

fof(f150129,plain,
    ( s__crosses(sK145,sK146)
    | ~ spl245_13 ),
    inference(avatar_component_clause,[],[f150127]) ).

fof(f150130,plain,
    ( ~ spl245_10
    | spl245_13 ),
    inference(avatar_split_clause,[],[f148263,f150127,f150112]) ).

fof(f150147,definition,
    ( spl245_17
  <=> s__instance(sK145,s__Object) ),
    introduced(definition,[new_symbols(definition,[spl245_17])],[avatar_definition]) ).

fof(f150149,plain,
    ( s__instance(sK145,s__Object)
    | ~ spl245_17 ),
    inference(avatar_component_clause,[],[f150147]) ).

fof(f150150,plain,
    ( ~ spl245_10
    | spl245_17 ),
    inference(avatar_split_clause,[],[f148267,f150147,f150112]) ).

fof(f150152,definition,
    ( spl245_18
  <=> s__instance(sK146,s__Object) ),
    introduced(definition,[new_symbols(definition,[spl245_18])],[avatar_definition]) ).

fof(f150154,plain,
    ( s__instance(sK146,s__Object)
    | ~ spl245_18 ),
    inference(avatar_component_clause,[],[f150152]) ).

fof(f150155,plain,
    ( ~ spl245_10
    | spl245_18 ),
    inference(avatar_split_clause,[],[f148268,f150152,f150112]) ).

fof(f150157,definition,
    ( spl245_19
  <=> s__instance(sK147,s__Object) ),
    introduced(definition,[new_symbols(definition,[spl245_19])],[avatar_definition]) ).

fof(f150159,plain,
    ( s__instance(sK147,s__Object)
    | ~ spl245_19 ),
    inference(avatar_component_clause,[],[f150157]) ).

fof(f150160,plain,
    ( ~ spl245_10
    | spl245_19 ),
    inference(avatar_split_clause,[],[f148269,f150157,f150112]) ).

fof(f150191,definition,
    ( spl245_27
  <=> ! [X0] : ~ s__instance(X0,s__SpreadOption) ),
    introduced(definition,[new_symbols(definition,[spl245_27])],[avatar_definition]) ).

fof(f150192,plain,
    ( ! [X0] : ~ s__instance(X0,s__SpreadOption)
    | ~ spl245_27 ),
    inference(avatar_component_clause,[],[f150191]) ).

fof(f150194,definition,
    ( spl245_28
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl245_28])],[avatar_definition]) ).

fof(f150197,plain,
    ( spl245_27
    | spl245_28 ),
    inference(avatar_split_clause,[],[f147428,f150194,f150191]) ).

fof(f150249,definition,
    ( spl245_39
  <=> s__instance(sK73,s__TimePosition) ),
    introduced(definition,[new_symbols(definition,[spl245_39])],[avatar_definition]) ).

fof(f150251,plain,
    ( s__instance(sK73,s__TimePosition)
    | ~ spl245_39 ),
    inference(avatar_component_clause,[],[f150249]) ).

fof(f150252,plain,
    ( ~ spl245_28
    | spl245_39 ),
    inference(avatar_split_clause,[],[f147427,f150249,f150194]) ).

fof(f150355,plain,
    ( ! [X0,X1] : sP0(X0,X1,s__Chain)
    | ~ spl245_9 ),
    inference(resolution,[],[f147162,f150110]) ).

fof(f150358,plain,
    ( ! [X0,X1] : s__UnionFn(X0,s__Chain) = X1
    | ~ spl245_9 ),
    inference(resolution,[],[f150355,f147167]) ).

fof(f150359,plain,
    ( ! [X2,X0] : X0 = X2
    | ~ spl245_9 ),
    inference(superposition,[],[f150358,f150358]) ).

fof(f150366,plain,
    ( ! [X0] : s__instance(s__TimeInterval38_2,X0)
    | ~ spl245_9 ),
    inference(superposition,[],[f146832,f150359]) ).

fof(f150372,plain,
    ( ! [X0,X1] : ~ s__instance(X1,X0)
    | ~ spl245_9 ),
    inference(superposition,[],[f150110,f150359]) ).

fof(f150404,plain,
    ( ! [X0,X1] : ~ s__instance(X1,X0)
    | ~ spl245_9
    | ~ spl245_27 ),
    inference(superposition,[],[f150192,f150359]) ).

fof(f150436,plain,
    ( $false
    | ~ spl245_9
    | ~ spl245_27 ),
    inference(forward_subsumption_resolution,[],[f150366,f150404]) ).

fof(f150437,plain,
    ( ~ spl245_9
    | ~ spl245_27 ),
    inference(avatar_contradiction_clause,[],[f150436]) ).

fof(f150459,plain,
    ( $false
    | ~ spl245_9
    | ~ spl245_39 ),
    inference(forward_subsumption_resolution,[],[f150251,f150372]) ).

fof(f150460,plain,
    ( ~ spl245_9
    | ~ spl245_39 ),
    inference(avatar_contradiction_clause,[],[f150459]) ).

fof(f150581,plain,
    ( ! [X0] :
        ( ~ s__crosses(X0,sK146)
        | s__crosses(X0,sK147)
        | ~ s__instance(sK147,s__Object)
        | ~ s__instance(sK146,s__Object)
        | ~ s__instance(X0,s__Object) )
    | ~ spl245_12 ),
    inference(resolution,[],[f148257,f150124]) ).

fof(f150584,plain,
    ( ! [X0] :
        ( ~ s__crosses(X0,sK146)
        | s__crosses(X0,sK147)
        | ~ s__instance(sK146,s__Object)
        | ~ s__instance(X0,s__Object) )
    | ~ spl245_12
    | ~ spl245_19 ),
    inference(forward_subsumption_resolution,[],[f150581,f150159]) ).

fof(f150586,plain,
    ( ! [X0] :
        ( ~ s__crosses(X0,sK146)
        | s__crosses(X0,sK147)
        | ~ s__instance(X0,s__Object) )
    | ~ spl245_12
    | ~ spl245_18
    | ~ spl245_19 ),
    inference(forward_subsumption_resolution,[],[f150584,f150154]) ).

fof(f150587,plain,
    ( s__crosses(sK145,sK147)
    | ~ s__instance(sK145,s__Object)
    | ~ spl245_12
    | ~ spl245_13
    | ~ spl245_18
    | ~ spl245_19 ),
    inference(resolution,[],[f150586,f150129]) ).

fof(f150588,plain,
    ( ~ s__instance(sK145,s__Object)
    | spl245_11
    | ~ spl245_12
    | ~ spl245_13
    | ~ spl245_18
    | ~ spl245_19 ),
    inference(forward_subsumption_resolution,[],[f150587,f150119]) ).

fof(f150589,plain,
    ( $false
    | spl245_11
    | ~ spl245_12
    | ~ spl245_13
    | ~ spl245_17
    | ~ spl245_18
    | ~ spl245_19 ),
    inference(forward_subsumption_resolution,[],[f150588,f150149]) ).

fof(f150590,plain,
    ( spl245_11
    | ~ spl245_12
    | ~ spl245_13
    | ~ spl245_17
    | ~ spl245_18
    | ~ spl245_19 ),
    inference(avatar_contradiction_clause,[],[f150589]) ).

cnf(s5,plain,
    ( spl245_9
    | spl245_10 ),
    inference(sat_conversion,[],[f150115]) ).

cnf(s6,plain,
    ( ~ spl245_10
    | ~ spl245_11 ),
    inference(sat_conversion,[],[f150120]) ).

cnf(s7,plain,
    ( ~ spl245_10
    | spl245_12 ),
    inference(sat_conversion,[],[f150125]) ).

cnf(s8,plain,
    ( ~ spl245_10
    | spl245_13 ),
    inference(sat_conversion,[],[f150130]) ).

cnf(s12,plain,
    ( ~ spl245_10
    | spl245_17 ),
    inference(sat_conversion,[],[f150150]) ).

cnf(s13,plain,
    ( ~ spl245_10
    | spl245_18 ),
    inference(sat_conversion,[],[f150155]) ).

cnf(s14,plain,
    ( ~ spl245_10
    | spl245_19 ),
    inference(sat_conversion,[],[f150160]) ).

cnf(s19,plain,
    ( spl245_27
    | spl245_28 ),
    inference(sat_conversion,[],[f150197]) ).

cnf(s30,plain,
    ( ~ spl245_28
    | spl245_39 ),
    inference(sat_conversion,[],[f150252]) ).

cnf(s42,plain,
    ( ~ spl245_9
    | ~ spl245_27 ),
    inference(sat_conversion,[],[f150437]) ).

cnf(s52,plain,
    ( ~ spl245_9
    | ~ spl245_39 ),
    inference(sat_conversion,[],[f150460]) ).

cnf(s60,plain,
    ( spl245_11
    | ~ spl245_12
    | ~ spl245_13
    | ~ spl245_17
    | ~ spl245_18
    | ~ spl245_19 ),
    inference(sat_conversion,[],[f150590]) ).

cnf(s65,plain,
    ~ spl245_10,
    inference(rat,[],[s60,s6,s7,s8,s12,s13,s14]) ).

cnf(s66,plain,
    spl245_9,
    inference(rat,[],[s5,s65]) ).

cnf(s67,plain,
    ~ spl245_39,
    inference(rat,[],[s52,s66]) ).

cnf(s74,plain,
    ~ spl245_27,
    inference(rat,[],[s42,s66]) ).

cnf(s75,plain,
    ~ spl245_28,
    inference(rat,[],[s30,s67]) ).

cnf(s76,plain,
    $false,
    inference(rat,[],[s19,s75,s74]) ).

fof(f150591,plain,
    $false,
    inference(avatar_sat_refutation,[],[s76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR107+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.15  % Computer : n009.cluster.edu
% 0.10/0.15  % Model    : x86_64 x86_64
% 0.10/0.15  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15  % Memory   : 8046.5625MB
% 0.10/0.15  % OS       : Linux 6.8.0-71-generic
% 0.10/0.15  % CPULimit : 300
% 0.10/0.15  % WCLimit  : 300
% 0.10/0.15  % DateTime : Mon Sep 28 22:59:30 UTC 2026
% 0.10/0.16  % CPUTime  : 
% 0.10/0.16  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  Running first-order theorem proving
% 0.10/0.19  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
% 15.06/5.15  % (3584486)Detected formulas, will run a generic FOF schedule.
% 15.06/5.15  % (3584493)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=596803839:i=141695:sd=1:nm=32:gsp=on:ss=included_2971 on theBenchmark for (2971ds/141695Mi)
% 15.06/5.15  % (3584492)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=1664513998:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2971 on theBenchmark for (2971ds/134677Mi)
% 15.06/5.15  % (3584491)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=2452843757:i=141193_2971 on theBenchmark for (2971ds/141193Mi)
% 15.06/5.15  % (3584494)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3421480947:i=109:sd=1:ins=1:gsp=on:ss=axioms_2971 on theBenchmark for (2971ds/109Mi)
% 15.06/5.15  % (3584497)dis-21_1_sil=8000:lcm=predicate:random_seed=3475557984: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)
% 15.06/5.15  % (3584495)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1713216990:i=119:av=off:ss=axioms_2971 on theBenchmark for (2971ds/119Mi)
% 15.06/5.15  % (3584496)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3435366706:s2a=on:i=139:gtg=position_2971 on theBenchmark for (2971ds/139Mi)
% 15.06/5.15  % (3584494)Instruction limit reached! 
% 15.06/5.15  % (3584494)------------------------------
% 15.06/5.15  % (3584494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/5.15  % (3584494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/5.15  % (3584494)CaDiCaL version: 2.1.3
% 15.06/5.15  % (3584494)Termination reason: Instruction limit
% 15.06/5.15  % (3584494)Termination phase: SInE selection
% 15.06/5.15  % (3584494)Time elapsed: 0.061 s
% 15.06/5.15  % (3584494)Peak memory usage: 165 MB
% 15.06/5.15  % (3584494)Instructions burned: 110 (million)
% 15.06/5.15  % (3584495)Instruction limit reached! 
% 15.06/5.15  % (3584495)------------------------------
% 15.06/5.15  % (3584495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/5.15  % (3584495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/5.15  % (3584495)CaDiCaL version: 2.1.3
% 15.06/5.15  % (3584495)Termination reason: Instruction limit
% 15.06/5.15  % (3584495)Termination phase: SInE selection
% 15.06/5.15  % (3584495)Time elapsed: 0.066 s
% 15.06/5.15  % (3584495)Peak memory usage: 164 MB
% 15.06/5.15  % (3584495)Instructions burned: 119 (million)
% 15.06/5.15  % (3584497)Instruction limit reached! 
% 15.06/5.15  % (3584497)------------------------------
% 15.06/5.15  % (3584497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/5.15  % (3584497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/5.15  % (3584497)CaDiCaL version: 2.1.3
% 15.06/5.15  % (3584497)Termination reason: Instruction limit
% 15.06/5.15  % (3584497)Termination phase: SInE selection
% 15.06/5.15  % (3584497)Time elapsed: 0.070 s
% 15.06/5.15  % (3584497)Peak memory usage: 164 MB
% 15.06/5.15  % (3584497)Instructions burned: 129 (million)
% 15.06/5.15  % (3584496)Instruction limit reached! 
% 15.06/5.15  % (3584496)------------------------------
% 15.06/5.15  % (3584496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/5.15  % (3584496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/5.15  % (3584496)CaDiCaL version: 2.1.3
% 15.06/5.15  % (3584496)Termination reason: Instruction limit
% 15.06/5.15  % (3584496)Termination phase: Property scanning
% 15.06/5.15  % (3584496)Time elapsed: 0.076 s
% 15.06/5.15  % (3584496)Peak memory usage: 165 MB
% 15.06/5.15  % (3584496)Instructions burned: 139 (million)
% 15.06/5.15  % (3584505)lrs+10_1_sil=8000:sp=occurrence:random_seed=1275646327:i=285:sd=3:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/285Mi)
% 15.06/5.15  % (3584506)lrs+10_1_sil=32000:urr=on:br=off:random_seed=768958934:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/157Mi)
% 15.06/5.15  % (3584507)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3184248531:i=325:sd=1:ss=axioms:sgt=32_2969 on theBenchmark for (2969ds/325Mi)
% 15.06/5.15  % (3584508)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=1856616964:s2a=on:i=248:s2at=1.23:gtg=position_2969 on theBenchmark for (2969ds/248Mi)
% 15.06/5.15  % (3584506)Instruction limit reached! 
% 18.46/5.78  % (3584506)------------------------------
% 18.46/5.78  % (3584506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/5.78  % (3584506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/5.78  % (3584506)CaDiCaL version: 2.1.3
% 18.46/5.78  % (3584506)Termination reason: Instruction limit
% 18.46/5.78  % (3584506)Termination phase: Property scanning
% 18.46/5.78  % (3584506)Time elapsed: 0.083 s
% 18.46/5.78  % (3584506)Peak memory usage: 165 MB
% 18.46/5.78  % (3584506)Instructions burned: 158 (million)
% 18.46/5.78  % (3584505)Instruction limit reached! 
% 18.46/5.78  % (3584505)------------------------------
% 18.46/5.78  % (3584505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/5.78  % (3584505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/5.78  % (3584505)CaDiCaL version: 2.1.3
% 18.46/5.78  % (3584505)Termination reason: Instruction limit
% 18.46/5.78  % (3584505)Termination phase: SInE selection
% 18.46/5.78  % (3584505)Time elapsed: 0.158 s
% 18.46/5.78  % (3584505)Peak memory usage: 165 MB
% 18.46/5.78  % (3584505)Instructions burned: 286 (million)
% 18.46/5.78  % (3584508)Instruction limit reached! 
% 18.46/5.78  % (3584508)------------------------------
% 18.46/5.78  % (3584508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/5.78  % (3584508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/5.78  % (3584508)CaDiCaL version: 2.1.3
% 18.46/5.78  % (3584508)Termination reason: Instruction limit
% 18.46/5.78  % (3584508)Termination phase: Property scanning
% 18.46/5.78  % (3584508)Time elapsed: 0.124 s
% 18.46/5.78  % (3584508)Peak memory usage: 165 MB
% 18.46/5.78  % (3584508)Instructions burned: 249 (million)
% 18.46/5.78  % (3584507)Instruction limit reached! 
% 18.46/5.78  % (3584507)------------------------------
% 18.46/5.78  % (3584507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/5.78  % (3584507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/5.78  % (3584507)CaDiCaL version: 2.1.3
% 18.46/5.78  % (3584507)Termination reason: Instruction limit
% 18.46/5.78  % (3584507)Termination phase: SInE selection
% 18.46/5.78  % (3584507)Time elapsed: 0.176 s
% 18.46/5.78  % (3584507)Peak memory usage: 164 MB
% 18.46/5.78  % (3584507)Instructions burned: 326 (million)
% 18.46/5.78  % (3584513)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=457938016:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2966 on theBenchmark for (2966ds/294Mi)
% 18.46/5.78  % (3584514)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=981729568:i=2350_2966 on theBenchmark for (2966ds/2350Mi)
% 18.46/5.78  % (3584515)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=867705130:cts=off:i=113:fsr=off:ss=included:sgt=4_2966 on theBenchmark for (2966ds/113Mi)
% 18.46/5.78  % (3584516)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=243042667:i=127:av=off:fsr=off:sup=off_2966 on theBenchmark for (2966ds/127Mi)
% 18.46/5.78  % (3584515)Instruction limit reached! 
% 18.46/5.78  % (3584515)------------------------------
% 18.46/5.78  % (3584515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/5.78  % (3584515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/5.78  % (3584515)CaDiCaL version: 2.1.3
% 18.46/5.78  % (3584515)Termination reason: Instruction limit
% 18.46/5.78  % (3584515)Termination phase: SInE selection
% 18.46/5.78  % (3584515)Time elapsed: 0.069 s
% 18.46/5.78  % (3584515)Peak memory usage: 165 MB
% 18.46/5.78  % (3584515)Instructions burned: 113 (million)
% 18.46/5.78  % (3584513)Instruction limit reached! 
% 18.46/5.78  % (3584513)------------------------------
% 18.46/5.78  % (3584513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/5.78  % (3584513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/5.78  % (3584513)CaDiCaL version: 2.1.3
% 18.46/5.78  % (3584513)Termination reason: Instruction limit
% 18.46/5.78  % (3584513)Termination phase: SInE selection
% 18.46/5.78  % (3584513)Time elapsed: 0.157 s
% 18.46/5.78  % (3584513)Peak memory usage: 165 MB
% 18.46/5.78  % (3584513)Instructions burned: 294 (million)
% 18.46/5.78  % (3584516)Instruction limit reached! 
% 18.46/5.78  % (3584516)------------------------------
% 18.46/5.78  % (3584516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/5.78  % (3584516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/5.78  % (3584516)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584516)Termination reason: Instruction limit
% 30.07/7.79  % (3584516)Termination phase: Preprocessing 1
% 30.07/7.79  % (3584516)Time elapsed: 0.083 s
% 30.07/7.79  % (3584516)Peak memory usage: 165 MB
% 30.07/7.79  % (3584516)Instructions burned: 127 (million)
% 30.07/7.79  % (3584521)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2660443697:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2963 on theBenchmark for (2963ds/114Mi)
% 30.07/7.79  % (3584522)lrs+10_1_sil=8000:sp=occurrence:random_seed=2255438976:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2963 on theBenchmark for (2963ds/907Mi)
% 30.07/7.79  % (3584523)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2860883768:i=437:sd=1:aac=none:ss=included_2963 on theBenchmark for (2963ds/437Mi)
% 30.07/7.79  % (3584521)Instruction limit reached! 
% 30.07/7.79  % (3584521)------------------------------
% 30.07/7.79  % (3584521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584521)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584521)Termination reason: Instruction limit
% 30.07/7.79  % (3584521)Termination phase: Property scanning
% 30.07/7.79  % (3584521)Time elapsed: 0.066 s
% 30.07/7.79  % (3584521)Peak memory usage: 165 MB
% 30.07/7.79  % (3584521)Instructions burned: 115 (million)
% 30.07/7.79  % (3584493)Refutation not found, incomplete strategy
% 30.07/7.79  % (3584493)------------------------------
% 30.07/7.79  % (3584493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584493)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584493)Termination reason: Refutation not found, incomplete strategy
% 30.07/7.79  % (3584493)Time elapsed: 1.016 s
% 30.07/7.79  % (3584493)Peak memory usage: 298 MB
% 30.07/7.79  % (3584493)Instructions burned: 2583 (million)
% 30.07/7.79  % (3584527)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3536409381:i=5202:ss=axioms:sgt=16_2961 on theBenchmark for (2961ds/5202Mi)
% 30.07/7.79  % (3584523)Refutation not found, incomplete strategy
% 30.07/7.79  % (3584523)------------------------------
% 30.07/7.79  % (3584523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584523)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584523)Termination reason: Refutation not found, incomplete strategy
% 30.07/7.79  % (3584523)Time elapsed: 0.256 s
% 30.07/7.79  % (3584523)Peak memory usage: 170 MB
% 30.07/7.79  % (3584523)Instructions burned: 399 (million)
% 30.07/7.79  % (3584493)------------------------------
% 30.07/7.79  % (3584493)------------------------------
% 30.07/7.79  % (3584529)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3872996838:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2958 on theBenchmark for (2958ds/134Mi)
% 30.07/7.79  % (3584529)Instruction limit reached! 
% 30.07/7.79  % (3584529)------------------------------
% 30.07/7.79  % (3584529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584529)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584529)Termination reason: Instruction limit
% 30.07/7.79  % (3584529)Termination phase: SInE selection
% 30.07/7.79  % (3584529)Time elapsed: 0.044 s
% 30.07/7.79  % (3584529)Peak memory usage: 165 MB
% 30.07/7.79  % (3584529)Instructions burned: 136 (million)
% 30.07/7.79  % (3584522)Instruction limit reached! 
% 30.07/7.79  % (3584522)------------------------------
% 30.07/7.79  % (3584522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584522)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584522)Termination reason: Instruction limit
% 30.07/7.79  % (3584522)Termination phase: Saturation
% 30.07/7.79  % (3584522)Time elapsed: 0.539 s
% 30.07/7.79  % (3584522)Peak memory usage: 173 MB
% 30.07/7.79  % (3584522)Instructions burned: 907 (million)
% 30.07/7.79  % (3584523)------------------------------
% 30.07/7.79  % (3584523)------------------------------
% 30.07/7.79  % (3584531)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2469126436:st=8:i=592:sd=3:ep=RST:ss=axioms_2956 on theBenchmark for (2956ds/592Mi)
% 30.07/7.79  % (3584532)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2863198608:st=3:i=13193:sd=3:ss=axioms_2956 on theBenchmark for (2956ds/13193Mi)
% 30.07/7.79  % (3584533)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=3019155462:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/125Mi)
% 30.07/7.79  % (3584533)Instruction limit reached! 
% 30.07/7.79  % (3584533)------------------------------
% 30.07/7.79  % (3584533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584533)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584533)Termination reason: Instruction limit
% 30.07/7.79  % (3584533)Termination phase: Property scanning
% 30.07/7.79  % (3584533)Time elapsed: 0.071 s
% 30.07/7.79  % (3584533)Peak memory usage: 165 MB
% 30.07/7.79  % (3584533)Instructions burned: 126 (million)
% 30.07/7.79  % (3584531)Instruction limit reached! 
% 30.07/7.79  % (3584531)------------------------------
% 30.07/7.79  % (3584531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584531)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584531)Termination reason: Instruction limit
% 30.07/7.79  % (3584531)Termination phase: Preprocessing 1
% 30.07/7.79  % (3584531)Time elapsed: 0.190 s
% 30.07/7.79  % (3584531)Peak memory usage: 167 MB
% 30.07/7.79  % (3584531)Instructions burned: 593 (million)
% 30.07/7.79  % (3584514)Instruction limit reached! 
% 30.07/7.79  % (3584514)------------------------------
% 30.07/7.79  % (3584514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584514)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584514)Termination reason: Instruction limit
% 30.07/7.79  % (3584514)Termination phase: Property scanning
% 30.07/7.79  % (3584514)Time elapsed: 1.225 s
% 30.07/7.79  % (3584514)Peak memory usage: 194 MB
% 30.07/7.79  % (3584514)Instructions burned: 2350 (million)
% 30.07/7.79  % (3584538)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1023895601:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2953 on theBenchmark for (2953ds/141Mi)
% 30.07/7.79  % (3584537)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2283386792:i=134:gtgl=5:slsql=off:gtg=exists_sym_2953 on theBenchmark for (2953ds/134Mi)
% 30.07/7.79  % (3584538)Instruction limit reached! 
% 30.07/7.79  % (3584538)------------------------------
% 30.07/7.79  % (3584538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584538)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584538)Termination reason: Instruction limit
% 30.07/7.79  % (3584538)Termination phase: SInE selection
% 30.07/7.79  % (3584538)Time elapsed: 0.047 s
% 30.07/7.79  % (3584538)Peak memory usage: 165 MB
% 30.07/7.79  % (3584538)Instructions burned: 144 (million)
% 30.07/7.79  % (3584537)Instruction limit reached! 
% 30.07/7.79  % (3584537)------------------------------
% 30.07/7.79  % (3584537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584537)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584537)Termination reason: Instruction limit
% 30.07/7.79  % (3584537)Termination phase: Property scanning
% 30.07/7.79  % (3584537)Time elapsed: 0.075 s
% 30.07/7.79  % (3584537)Peak memory usage: 165 MB
% 30.07/7.79  % (3584537)Instructions burned: 134 (million)
% 30.07/7.79  % (3584539)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=24250953:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2952 on theBenchmark for (2952ds/431Mi)
% 30.07/7.79  % (3584542)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=1169747185:i=6060:aac=none:ins=25_2951 on theBenchmark for (2951ds/6060Mi)
% 30.07/7.79  % (3584543)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=3282987458:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2951 on theBenchmark for (2951ds/150Mi)
% 30.07/7.79  % (3584543)Instruction limit reached! 
% 30.07/7.79  % (3584543)------------------------------
% 30.07/7.79  % (3584543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584543)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584543)Termination reason: Instruction limit
% 30.07/7.79  % (3584543)Termination phase: SInE selection
% 30.07/7.79  % (3584543)Time elapsed: 0.090 s
% 30.07/7.79  % (3584543)Peak memory usage: 165 MB
% 30.07/7.79  % (3584543)Instructions burned: 152 (million)
% 30.07/7.79  % (3584539)Instruction limit reached! 
% 30.07/7.79  % (3584539)------------------------------
% 30.07/7.79  % (3584539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584539)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584539)Termination reason: Instruction limit
% 30.07/7.79  % (3584539)Termination phase: Saturation
% 30.07/7.79  % (3584539)Time elapsed: 0.263 s
% 30.07/7.79  % (3584539)Peak memory usage: 170 MB
% 30.07/7.79  % (3584539)Instructions burned: 433 (million)
% 30.07/7.79  % (3584547)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1742949861:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 30.07/7.79  % (3584548)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=798016379:i=667:av=off:fsr=off_2948 on theBenchmark for (2948ds/667Mi)
% 30.07/7.79  % (3584548)Instruction limit reached! 
% 30.07/7.79  % (3584548)------------------------------
% 30.07/7.79  % (3584548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584548)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584548)Termination reason: Instruction limit
% 30.07/7.79  % (3584548)Termination phase: NewCNF
% 30.07/7.79  % (3584548)Time elapsed: 0.528 s
% 30.07/7.79  % (3584548)Peak memory usage: 184 MB
% 30.07/7.79  % (3584548)Instructions burned: 667 (million)
% 30.07/7.79  % (3584551)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=3131081538:s2a=on:i=185:s2at=1.8:fdi=4_2941 on theBenchmark for (2941ds/185Mi)
% 30.07/7.79  % (3584551)Instruction limit reached! 
% 30.07/7.79  % (3584551)------------------------------
% 30.07/7.79  % (3584551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584551)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584551)Termination reason: Instruction limit
% 30.07/7.79  % (3584551)Termination phase: SInE selection
% 30.07/7.79  % (3584551)Time elapsed: 0.104 s
% 30.07/7.79  % (3584551)Peak memory usage: 165 MB
% 30.07/7.79  % (3584551)Instructions burned: 185 (million)
% 30.07/7.79  % (3584553)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=555515919:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2938 on theBenchmark for (2938ds/193Mi)
% 30.07/7.79  % (3584553)Instruction limit reached! 
% 30.07/7.79  % (3584553)------------------------------
% 30.07/7.79  % (3584553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/7.79  % (3584553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/7.79  % (3584553)CaDiCaL version: 2.1.3
% 30.07/7.79  % (3584553)Termination reason: Instruction limit
% 30.07/7.79  % (3584553)Termination phase: SInE selection
% 30.07/7.79  % (3584553)Time elapsed: 0.113 s
% 30.07/7.79  % (3584553)Peak memory usage: 165 MB
% 30.07/7.79  % (3584553)Instructions burned: 195 (million)
% 30.07/7.79  % (3584555)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=986491205:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2935 on theBenchmark for (2935ds/4850Mi)
% 30.07/7.79  % (3584532)First to succeed.
% 30.07/7.79  % (3584532)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3584486"
% 30.07/7.79  % (3584532)Refutation found. Thanks to Tanya!
% 30.07/7.79  % SZS status ContradictoryAxioms for theBenchmark
% 30.07/7.79  % SZS output start Proof for theBenchmark
% See solution above
% 33.86/7.91  % (3584532)------------------------------
% 33.86/7.91  % (3584532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.86/7.91  % (3584532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.86/7.91  % (3584532)CaDiCaL version: 2.1.3
% 33.86/7.91  % (3584532)Termination reason: Refutation
% 33.86/7.91  % (3584532)Time elapsed: 2.245 s
% 33.86/7.91  % (3584532)Peak memory usage: 285 MB
% 33.86/7.91  % (3584532)Instructions burned: 3632 (million)
% 33.86/7.91  % (3584532)------------------------------
% 33.86/7.91  % (3584532)------------------------------
% 33.86/7.91  % (3584486)Success in time 7.158 s
% 33.86/7.91  % Vampire exiting
%------------------------------------------------------------------------------