TSTP Solution File: SEU283+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU283+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:21:51 EDT 2024

% Result   : Theorem 0.76s 0.80s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  100 (   6 unt;   0 def)
%            Number of atoms       :  534 ( 159 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  693 ( 259   ~; 252   |; 139   &)
%                                         (  18 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   2 con; 0-2 aty)
%            Number of variables   :  263 ( 210   !;  53   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3079,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1741,f3070,f3073,f3078]) ).

fof(f3078,plain,
    ( ~ spl15_28
    | ~ spl15_35
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f3077]) ).

fof(f3077,plain,
    ( $false
    | ~ spl15_28
    | ~ spl15_35
    | ~ spl15_36 ),
    inference(subsumption_resolution,[],[f3076,f3069]) ).

fof(f3069,plain,
    ( in(sK2(sK8(sK1)),sK1)
    | ~ spl15_36 ),
    inference(avatar_component_clause,[],[f3067]) ).

fof(f3067,plain,
    ( spl15_36
  <=> in(sK2(sK8(sK1)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

fof(f3076,plain,
    ( ~ in(sK2(sK8(sK1)),sK1)
    | ~ spl15_28
    | ~ spl15_35 ),
    inference(subsumption_resolution,[],[f3075,f1732]) ).

fof(f1732,plain,
    ( relation(sK8(sK1))
    | ~ spl15_28 ),
    inference(avatar_component_clause,[],[f1731]) ).

fof(f1731,plain,
    ( spl15_28
  <=> relation(sK8(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f3075,plain,
    ( ~ relation(sK8(sK1))
    | ~ in(sK2(sK8(sK1)),sK1)
    | ~ spl15_35 ),
    inference(subsumption_resolution,[],[f3074,f3064]) ).

fof(f3064,plain,
    ( function(sK8(sK1))
    | ~ spl15_35 ),
    inference(avatar_component_clause,[],[f3063]) ).

fof(f3063,plain,
    ( spl15_35
  <=> function(sK8(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

fof(f3074,plain,
    ( ~ function(sK8(sK1))
    | ~ relation(sK8(sK1))
    | ~ in(sK2(sK8(sK1)),sK1) ),
    inference(equality_resolution,[],[f1269]) ).

fof(f1269,plain,
    ! [X0] :
      ( sK1 != X0
      | ~ function(sK8(X0))
      | ~ relation(sK8(X0))
      | ~ in(sK2(sK8(X0)),X0) ),
    inference(duplicate_literal_removal,[],[f1240]) ).

fof(f1240,plain,
    ! [X0] :
      ( sK1 != X0
      | ~ function(sK8(X0))
      | ~ relation(sK8(X0))
      | ~ in(sK2(sK8(X0)),X0)
      | ~ relation(sK8(X0)) ),
    inference(superposition,[],[f777,f865]) ).

fof(f865,plain,
    ! [X0] :
      ( relation_dom(sK8(X0)) = X0
      | ~ relation(sK8(X0)) ),
    inference(subsumption_resolution,[],[f862,f296]) ).

fof(f296,plain,
    ! [X0,X1] :
      ( ~ in(sK5(sK8(X0),X1),X1)
      | relation_dom(sK8(X0)) = X1
      | ~ relation(sK8(X0))
      | ~ in(sK5(sK8(X0),X1),X0) ),
    inference(subsumption_resolution,[],[f290,f166]) ).

fof(f166,plain,
    ! [X0] : sP0(X0),
    inference(subsumption_resolution,[],[f165,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( sK10(X0) != sK11(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( sP0(X0)
      | ( sK10(X0) != sK11(X0)
        & sK11(X0) = singleton(sK9(X0))
        & in(sK9(X0),X0)
        & sK10(X0) = singleton(sK9(X0))
        & in(sK9(X0),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f59,f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & singleton(X1) = X3
          & in(X1,X0)
          & singleton(X1) = X2
          & in(X1,X0) )
     => ( sK10(X0) != sK11(X0)
        & sK11(X0) = singleton(sK9(X0))
        & in(sK9(X0),X0)
        & sK10(X0) = singleton(sK9(X0))
        & in(sK9(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0] :
      ( sP0(X0)
      | ? [X1,X2,X3] :
          ( X2 != X3
          & singleton(X1) = X3
          & in(X1,X0)
          & singleton(X1) = X2
          & in(X1,X0) ) ),
    inference(definition_folding,[],[f48,f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ? [X4] :
          ( ! [X5,X6] :
              ( in(ordered_pair(X5,X6),X4)
            <=> ( singleton(X5) = X6
                & in(X5,X0)
                & in(X5,X0) ) )
          & function(X4)
          & relation(X4) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X4] :
          ( ! [X5,X6] :
              ( in(ordered_pair(X5,X6),X4)
            <=> ( singleton(X5) = X6
                & in(X5,X0)
                & in(X5,X0) ) )
          & function(X4)
          & relation(X4) )
      | ? [X1,X2,X3] :
          ( X2 != X3
          & singleton(X1) = X3
          & in(X1,X0)
          & singleton(X1) = X2
          & in(X1,X0) ) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X4] :
          ( ! [X5,X6] :
              ( in(ordered_pair(X5,X6),X4)
            <=> ( singleton(X5) = X6
                & in(X5,X0)
                & in(X5,X0) ) )
          & function(X4)
          & relation(X4) )
      | ? [X1,X2,X3] :
          ( X2 != X3
          & singleton(X1) = X3
          & in(X1,X0)
          & singleton(X1) = X2
          & in(X1,X0) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1,X2,X3] :
          ( ( singleton(X1) = X3
            & in(X1,X0)
            & singleton(X1) = X2
            & in(X1,X0) )
         => X2 = X3 )
     => ? [X4] :
          ( ! [X5,X6] :
              ( in(ordered_pair(X5,X6),X4)
            <=> ( singleton(X5) = X6
                & in(X5,X0)
                & in(X5,X0) ) )
          & function(X4)
          & relation(X4) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ! [X1,X2,X3] :
          ( ( singleton(X1) = X3
            & in(X1,X0)
            & singleton(X1) = X2
            & in(X1,X0) )
         => X2 = X3 )
     => ? [X1] :
          ( ! [X2,X3] :
              ( in(ordered_pair(X2,X3),X1)
            <=> ( singleton(X2) = X3
                & in(X2,X0)
                & in(X2,X0) ) )
          & function(X1)
          & relation(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NVWu08Y7TQ/Vampire---4.8_29390',s1_funct_1__e16_22__wellord2__1) ).

fof(f165,plain,
    ! [X0] :
      ( sK10(X0) = sK11(X0)
      | sP0(X0) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( sK10(X0) = sK11(X0)
      | sP0(X0)
      | sP0(X0) ),
    inference(superposition,[],[f111,f109]) ).

fof(f109,plain,
    ! [X0] :
      ( sK10(X0) = singleton(sK9(X0))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f111,plain,
    ! [X0] :
      ( sK11(X0) = singleton(sK9(X0))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( relation_dom(sK8(X0)) = X1
      | ~ in(sK5(sK8(X0),X1),X1)
      | ~ relation(sK8(X0))
      | ~ in(sK5(sK8(X0),X1),X0)
      | ~ sP0(X0) ),
    inference(resolution,[],[f130,f148]) ).

fof(f148,plain,
    ! [X2,X0] :
      ( in(unordered_pair(unordered_pair(X2,singleton(X2)),singleton(X2)),sK8(X0))
      | ~ in(X2,X0)
      | ~ sP0(X0) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X2,X0] :
      ( in(unordered_pair(unordered_pair(X2,singleton(X2)),singleton(X2)),sK8(X0))
      | ~ in(X2,X0)
      | ~ in(X2,X0)
      | ~ sP0(X0) ),
    inference(equality_resolution,[],[f134]) ).

fof(f134,plain,
    ! [X2,X3,X0] :
      ( in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),sK8(X0))
      | singleton(X2) != X3
      | ~ in(X2,X0)
      | ~ in(X2,X0)
      | ~ sP0(X0) ),
    inference(definition_unfolding,[],[f107,f101]) ).

fof(f101,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.NVWu08Y7TQ/Vampire---4.8_29390',d5_tarski) ).

fof(f107,plain,
    ! [X2,X3,X0] :
      ( in(ordered_pair(X2,X3),sK8(X0))
      | singleton(X2) != X3
      | ~ in(X2,X0)
      | ~ in(X2,X0)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( ! [X2,X3] :
            ( ( in(ordered_pair(X2,X3),sK8(X0))
              | singleton(X2) != X3
              | ~ in(X2,X0)
              | ~ in(X2,X0) )
            & ( ( singleton(X2) = X3
                & in(X2,X0)
                & in(X2,X0) )
              | ~ in(ordered_pair(X2,X3),sK8(X0)) ) )
        & function(sK8(X0))
        & relation(sK8(X0)) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f76,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2,X3] :
              ( ( in(ordered_pair(X2,X3),X1)
                | singleton(X2) != X3
                | ~ in(X2,X0)
                | ~ in(X2,X0) )
              & ( ( singleton(X2) = X3
                  & in(X2,X0)
                  & in(X2,X0) )
                | ~ in(ordered_pair(X2,X3),X1) ) )
          & function(X1)
          & relation(X1) )
     => ( ! [X3,X2] :
            ( ( in(ordered_pair(X2,X3),sK8(X0))
              | singleton(X2) != X3
              | ~ in(X2,X0)
              | ~ in(X2,X0) )
            & ( ( singleton(X2) = X3
                & in(X2,X0)
                & in(X2,X0) )
              | ~ in(ordered_pair(X2,X3),sK8(X0)) ) )
        & function(sK8(X0))
        & relation(sK8(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2,X3] :
              ( ( in(ordered_pair(X2,X3),X1)
                | singleton(X2) != X3
                | ~ in(X2,X0)
                | ~ in(X2,X0) )
              & ( ( singleton(X2) = X3
                  & in(X2,X0)
                  & in(X2,X0) )
                | ~ in(ordered_pair(X2,X3),X1) ) )
          & function(X1)
          & relation(X1) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ? [X4] :
          ( ! [X5,X6] :
              ( ( in(ordered_pair(X5,X6),X4)
                | singleton(X5) != X6
                | ~ in(X5,X0)
                | ~ in(X5,X0) )
              & ( ( singleton(X5) = X6
                  & in(X5,X0)
                  & in(X5,X0) )
                | ~ in(ordered_pair(X5,X6),X4) ) )
          & function(X4)
          & relation(X4) )
      | ~ sP0(X0) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ? [X4] :
          ( ! [X5,X6] :
              ( ( in(ordered_pair(X5,X6),X4)
                | singleton(X5) != X6
                | ~ in(X5,X0)
                | ~ in(X5,X0) )
              & ( ( singleton(X5) = X6
                  & in(X5,X0)
                  & in(X5,X0) )
                | ~ in(ordered_pair(X5,X6),X4) ) )
          & function(X4)
          & relation(X4) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f130,plain,
    ! [X3,X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(sK5(X0,X1),X3),singleton(sK5(X0,X1))),X0)
      | relation_dom(X0) = X1
      | ~ in(sK5(X0,X1),X1)
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f99,f101]) ).

fof(f99,plain,
    ! [X3,X0,X1] :
      ( relation_dom(X0) = X1
      | ~ in(ordered_pair(sK5(X0,X1),X3),X0)
      | ~ in(sK5(X0,X1),X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(sK5(X0,X1),X3),X0)
                | ~ in(sK5(X0,X1),X1) )
              & ( in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
                | in(sK5(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK7(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f69,f72,f71,f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X2,X4),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(sK5(X0,X1),X3),X0)
          | ~ in(sK5(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(sK5(X0,X1),X4),X0)
          | in(sK5(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK5(X0,X1),X4),X0)
     => in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X5,X7),X0)
     => in(ordered_pair(X5,sK7(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NVWu08Y7TQ/Vampire---4.8_29390',d4_relat_1) ).

fof(f862,plain,
    ! [X0] :
      ( in(sK5(sK8(X0),X0),X0)
      | relation_dom(sK8(X0)) = X0
      | ~ relation(sK8(X0)) ),
    inference(factoring,[],[f322]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( in(sK5(sK8(X0),X1),X1)
      | relation_dom(sK8(X0)) = X1
      | ~ relation(sK8(X0))
      | in(sK5(sK8(X0),X1),X0) ),
    inference(subsumption_resolution,[],[f310,f166]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( relation_dom(sK8(X0)) = X1
      | in(sK5(sK8(X0),X1),X1)
      | ~ relation(sK8(X0))
      | in(sK5(sK8(X0),X1),X0)
      | ~ sP0(X0) ),
    inference(resolution,[],[f131,f136]) ).

fof(f136,plain,
    ! [X2,X3,X0] :
      ( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),sK8(X0))
      | in(X2,X0)
      | ~ sP0(X0) ),
    inference(definition_unfolding,[],[f105,f101]) ).

fof(f105,plain,
    ! [X2,X3,X0] :
      ( in(X2,X0)
      | ~ in(ordered_pair(X2,X3),sK8(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( in(unordered_pair(unordered_pair(sK5(X0,X1),sK6(X0,X1)),singleton(sK5(X0,X1))),X0)
      | relation_dom(X0) = X1
      | in(sK5(X0,X1),X1)
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f98,f101]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( relation_dom(X0) = X1
      | in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
      | in(sK5(X0,X1),X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f777,plain,
    ! [X0] :
      ( sK1 != relation_dom(sK8(X0))
      | ~ function(sK8(X0))
      | ~ relation(sK8(X0))
      | ~ in(sK2(sK8(X0)),relation_dom(sK8(X0))) ),
    inference(trivial_inequality_removal,[],[f776]) ).

fof(f776,plain,
    ! [X0] :
      ( singleton(sK2(sK8(X0))) != singleton(sK2(sK8(X0)))
      | sK1 != relation_dom(sK8(X0))
      | ~ function(sK8(X0))
      | ~ relation(sK8(X0))
      | ~ in(sK2(sK8(X0)),relation_dom(sK8(X0))) ),
    inference(duplicate_literal_removal,[],[f769]) ).

fof(f769,plain,
    ! [X0] :
      ( singleton(sK2(sK8(X0))) != singleton(sK2(sK8(X0)))
      | sK1 != relation_dom(sK8(X0))
      | ~ function(sK8(X0))
      | ~ relation(sK8(X0))
      | ~ function(sK8(X0))
      | ~ relation(sK8(X0))
      | ~ in(sK2(sK8(X0)),relation_dom(sK8(X0))) ),
    inference(superposition,[],[f91,f271]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( singleton(X0) = apply(sK8(X1),X0)
      | ~ function(sK8(X1))
      | ~ relation(sK8(X1))
      | ~ in(X0,relation_dom(sK8(X1))) ),
    inference(subsumption_resolution,[],[f257,f166]) ).

fof(f257,plain,
    ! [X0,X1] :
      ( ~ in(X0,relation_dom(sK8(X1)))
      | ~ function(sK8(X1))
      | ~ relation(sK8(X1))
      | singleton(X0) = apply(sK8(X1),X0)
      | ~ sP0(X1) ),
    inference(resolution,[],[f147,f135]) ).

fof(f135,plain,
    ! [X2,X3,X0] :
      ( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),sK8(X0))
      | singleton(X2) = X3
      | ~ sP0(X0) ),
    inference(definition_unfolding,[],[f106,f101]) ).

fof(f106,plain,
    ! [X2,X3,X0] :
      ( singleton(X2) = X3
      | ~ in(ordered_pair(X2,X3),sK8(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( in(unordered_pair(unordered_pair(X1,apply(X0,X1)),singleton(X1)),X0)
      | ~ in(X1,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f139]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
      | apply(X0,X1) != X2
      | ~ in(X1,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f123,f101]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( in(ordered_pair(X1,X2),X0)
      | apply(X0,X1) != X2
      | ~ in(X1,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ( apply(X0,X1) = X2
                | empty_set != X2 )
              & ( empty_set = X2
                | apply(X0,X1) != X2 ) )
            | in(X1,relation_dom(X0)) )
          & ( ( ( apply(X0,X1) = X2
                | ~ in(ordered_pair(X1,X2),X0) )
              & ( in(ordered_pair(X1,X2),X0)
                | apply(X0,X1) != X2 ) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( ( ~ in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> empty_set = X2 ) )
          & ( in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NVWu08Y7TQ/Vampire---4.8_29390',d4_funct_1) ).

fof(f91,plain,
    ! [X1] :
      ( apply(X1,sK2(X1)) != singleton(sK2(X1))
      | relation_dom(X1) != sK1
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ! [X1] :
        ( ( apply(X1,sK2(X1)) != singleton(sK2(X1))
          & in(sK2(X1),sK1) )
        | relation_dom(X1) != sK1
        | ~ function(X1)
        | ~ relation(X1) )
    & ! [X3] :
        ( singleton(X3) = sK3(X3)
        | ~ in(X3,sK1) )
    & ! [X5,X6,X7] :
        ( X6 = X7
        | singleton(X5) != X7
        | singleton(X5) != X6
        | ~ in(X5,sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f60,f63,f62,f61]) ).

fof(f61,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ? [X2] :
                ( apply(X1,X2) != singleton(X2)
                & in(X2,X0) )
            | relation_dom(X1) != X0
            | ~ function(X1)
            | ~ relation(X1) )
        & ! [X3] :
            ( ? [X4] : singleton(X3) = X4
            | ~ in(X3,X0) )
        & ! [X5,X6,X7] :
            ( X6 = X7
            | singleton(X5) != X7
            | singleton(X5) != X6
            | ~ in(X5,X0) ) )
   => ( ! [X1] :
          ( ? [X2] :
              ( apply(X1,X2) != singleton(X2)
              & in(X2,sK1) )
          | relation_dom(X1) != sK1
          | ~ function(X1)
          | ~ relation(X1) )
      & ! [X3] :
          ( ? [X4] : singleton(X3) = X4
          | ~ in(X3,sK1) )
      & ! [X7,X6,X5] :
          ( X6 = X7
          | singleton(X5) != X7
          | singleton(X5) != X6
          | ~ in(X5,sK1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ! [X1] :
      ( ? [X2] :
          ( apply(X1,X2) != singleton(X2)
          & in(X2,sK1) )
     => ( apply(X1,sK2(X1)) != singleton(sK2(X1))
        & in(sK2(X1),sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ! [X3] :
      ( ? [X4] : singleton(X3) = X4
     => singleton(X3) = sK3(X3) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ? [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( apply(X1,X2) != singleton(X2)
              & in(X2,X0) )
          | relation_dom(X1) != X0
          | ~ function(X1)
          | ~ relation(X1) )
      & ! [X3] :
          ( ? [X4] : singleton(X3) = X4
          | ~ in(X3,X0) )
      & ! [X5,X6,X7] :
          ( X6 = X7
          | singleton(X5) != X7
          | singleton(X5) != X6
          | ~ in(X5,X0) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ? [X0] :
      ( ! [X6] :
          ( ? [X7] :
              ( apply(X6,X7) != singleton(X7)
              & in(X7,X0) )
          | relation_dom(X6) != X0
          | ~ function(X6)
          | ~ relation(X6) )
      & ! [X1] :
          ( ? [X2] : singleton(X1) = X2
          | ~ in(X1,X0) )
      & ! [X3,X4,X5] :
          ( X4 = X5
          | singleton(X3) != X5
          | singleton(X3) != X4
          | ~ in(X3,X0) ) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ? [X0] :
      ( ! [X6] :
          ( ? [X7] :
              ( apply(X6,X7) != singleton(X7)
              & in(X7,X0) )
          | relation_dom(X6) != X0
          | ~ function(X6)
          | ~ relation(X6) )
      & ! [X1] :
          ( ? [X2] : singleton(X1) = X2
          | ~ in(X1,X0) )
      & ! [X3,X4,X5] :
          ( X4 = X5
          | singleton(X3) != X5
          | singleton(X3) != X4
          | ~ in(X3,X0) ) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0] :
        ( ( ! [X1] :
              ~ ( ! [X2] : singleton(X1) != X2
                & in(X1,X0) )
          & ! [X3,X4,X5] :
              ( ( singleton(X3) = X5
                & singleton(X3) = X4
                & in(X3,X0) )
             => X4 = X5 ) )
       => ? [X6] :
            ( ! [X7] :
                ( in(X7,X0)
               => apply(X6,X7) = singleton(X7) )
            & relation_dom(X6) = X0
            & function(X6)
            & relation(X6) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ! [X1] :
              ~ ( ! [X2] : singleton(X1) != X2
                & in(X1,X0) )
          & ! [X1,X2,X3] :
              ( ( singleton(X1) = X3
                & singleton(X1) = X2
                & in(X1,X0) )
             => X2 = X3 ) )
       => ? [X1] :
            ( ! [X2] :
                ( in(X2,X0)
               => apply(X1,X2) = singleton(X2) )
            & relation_dom(X1) = X0
            & function(X1)
            & relation(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( ! [X1] :
            ~ ( ! [X2] : singleton(X1) != X2
              & in(X1,X0) )
        & ! [X1,X2,X3] :
            ( ( singleton(X1) = X3
              & singleton(X1) = X2
              & in(X1,X0) )
           => X2 = X3 ) )
     => ? [X1] :
          ( ! [X2] :
              ( in(X2,X0)
             => apply(X1,X2) = singleton(X2) )
          & relation_dom(X1) = X0
          & function(X1)
          & relation(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NVWu08Y7TQ/Vampire---4.8_29390',s2_funct_1__e16_22__wellord2__1) ).

fof(f3073,plain,
    spl15_35,
    inference(avatar_contradiction_clause,[],[f3072]) ).

fof(f3072,plain,
    ( $false
    | spl15_35 ),
    inference(subsumption_resolution,[],[f3071,f166]) ).

fof(f3071,plain,
    ( ~ sP0(sK1)
    | spl15_35 ),
    inference(resolution,[],[f3065,f103]) ).

fof(f103,plain,
    ! [X0] :
      ( function(sK8(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f3065,plain,
    ( ~ function(sK8(sK1))
    | spl15_35 ),
    inference(avatar_component_clause,[],[f3063]) ).

fof(f3070,plain,
    ( ~ spl15_35
    | spl15_36
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f3061,f1731,f3067,f3063]) ).

fof(f3061,plain,
    ( in(sK2(sK8(sK1)),sK1)
    | ~ function(sK8(sK1))
    | ~ spl15_28 ),
    inference(subsumption_resolution,[],[f3060,f1732]) ).

fof(f3060,plain,
    ( in(sK2(sK8(sK1)),sK1)
    | ~ function(sK8(sK1))
    | ~ relation(sK8(sK1)) ),
    inference(equality_resolution,[],[f1264]) ).

fof(f1264,plain,
    ! [X0] :
      ( sK1 != X0
      | in(sK2(sK8(X0)),sK1)
      | ~ function(sK8(X0))
      | ~ relation(sK8(X0)) ),
    inference(duplicate_literal_removal,[],[f1245]) ).

fof(f1245,plain,
    ! [X0] :
      ( sK1 != X0
      | in(sK2(sK8(X0)),sK1)
      | ~ function(sK8(X0))
      | ~ relation(sK8(X0))
      | ~ relation(sK8(X0)) ),
    inference(superposition,[],[f90,f865]) ).

fof(f90,plain,
    ! [X1] :
      ( relation_dom(X1) != sK1
      | in(sK2(X1),sK1)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f1741,plain,
    spl15_28,
    inference(avatar_contradiction_clause,[],[f1740]) ).

fof(f1740,plain,
    ( $false
    | spl15_28 ),
    inference(subsumption_resolution,[],[f1739,f166]) ).

fof(f1739,plain,
    ( ~ sP0(sK1)
    | spl15_28 ),
    inference(resolution,[],[f1733,f102]) ).

fof(f102,plain,
    ! [X0] :
      ( relation(sK8(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f1733,plain,
    ( ~ relation(sK8(sK1))
    | spl15_28 ),
    inference(avatar_component_clause,[],[f1731]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEU283+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 10:58:19 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.NVWu08Y7TQ/Vampire---4.8_29390
% 0.57/0.74  % (29762)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (29755)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (29757)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (29758)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (29759)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (29756)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (29761)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74  % (29760)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (29760)Refutation not found, incomplete strategy% (29760)------------------------------
% 0.57/0.75  % (29760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (29760)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (29760)Memory used [KB]: 1070
% 0.57/0.75  % (29760)Time elapsed: 0.004 s
% 0.57/0.75  % (29760)Instructions burned: 4 (million)
% 0.57/0.75  % (29760)------------------------------
% 0.57/0.75  % (29760)------------------------------
% 0.57/0.75  % (29758)Refutation not found, incomplete strategy% (29758)------------------------------
% 0.57/0.75  % (29758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (29758)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (29758)Memory used [KB]: 1132
% 0.57/0.75  % (29758)Time elapsed: 0.005 s
% 0.57/0.75  % (29758)Instructions burned: 6 (million)
% 0.57/0.75  % (29758)------------------------------
% 0.57/0.75  % (29758)------------------------------
% 0.57/0.75  % (29767)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (29768)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.76  % (29762)Instruction limit reached!
% 0.57/0.76  % (29762)------------------------------
% 0.57/0.76  % (29762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (29762)Termination reason: Unknown
% 0.57/0.76  % (29762)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (29762)Memory used [KB]: 1692
% 0.57/0.76  % (29762)Time elapsed: 0.019 s
% 0.57/0.76  % (29762)Instructions burned: 56 (million)
% 0.57/0.76  % (29762)------------------------------
% 0.57/0.76  % (29762)------------------------------
% 0.57/0.76  % (29772)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.76  % (29759)Instruction limit reached!
% 0.57/0.76  % (29759)------------------------------
% 0.57/0.76  % (29759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (29759)Termination reason: Unknown
% 0.57/0.76  % (29759)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (29759)Memory used [KB]: 1291
% 0.57/0.76  % (29759)Time elapsed: 0.021 s
% 0.57/0.76  % (29759)Instructions burned: 34 (million)
% 0.57/0.76  % (29759)------------------------------
% 0.57/0.76  % (29759)------------------------------
% 0.57/0.77  % (29767)Refutation not found, incomplete strategy% (29767)------------------------------
% 0.57/0.77  % (29767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (29767)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (29767)Memory used [KB]: 1165
% 0.57/0.77  % (29767)Time elapsed: 0.015 s
% 0.57/0.77  % (29767)Instructions burned: 22 (million)
% 0.57/0.77  % (29767)------------------------------
% 0.57/0.77  % (29767)------------------------------
% 0.57/0.77  % (29755)Instruction limit reached!
% 0.57/0.77  % (29755)------------------------------
% 0.57/0.77  % (29755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (29755)Termination reason: Unknown
% 0.57/0.77  % (29755)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (29755)Memory used [KB]: 1399
% 0.57/0.77  % (29755)Time elapsed: 0.024 s
% 0.57/0.77  % (29755)Instructions burned: 34 (million)
% 0.57/0.77  % (29755)------------------------------
% 0.57/0.77  % (29755)------------------------------
% 0.57/0.77  % (29774)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.77  % (29775)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.77  % (29776)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.77  % (29756)Instruction limit reached!
% 0.57/0.77  % (29756)------------------------------
% 0.57/0.77  % (29756)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (29756)Termination reason: Unknown
% 0.57/0.77  % (29756)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (29756)Memory used [KB]: 1341
% 0.57/0.77  % (29756)Time elapsed: 0.029 s
% 0.57/0.77  % (29756)Instructions burned: 51 (million)
% 0.57/0.77  % (29756)------------------------------
% 0.57/0.77  % (29756)------------------------------
% 0.57/0.77  % (29775)Refutation not found, incomplete strategy% (29775)------------------------------
% 0.57/0.77  % (29775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (29775)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (29775)Memory used [KB]: 1120
% 0.57/0.77  % (29775)Time elapsed: 0.005 s
% 0.57/0.77  % (29775)Instructions burned: 5 (million)
% 0.57/0.77  % (29775)------------------------------
% 0.57/0.77  % (29775)------------------------------
% 0.57/0.77  % (29776)Refutation not found, incomplete strategy% (29776)------------------------------
% 0.57/0.77  % (29776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (29776)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (29776)Memory used [KB]: 1079
% 0.57/0.77  % (29776)Time elapsed: 0.004 s
% 0.57/0.77  % (29776)Instructions burned: 5 (million)
% 0.57/0.77  % (29776)------------------------------
% 0.57/0.77  % (29776)------------------------------
% 0.57/0.78  % (29779)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.57/0.78  % (29780)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.57/0.78  % (29782)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.57/0.78  % (29768)Instruction limit reached!
% 0.57/0.78  % (29768)------------------------------
% 0.57/0.78  % (29768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (29768)Termination reason: Unknown
% 0.57/0.78  % (29768)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (29768)Memory used [KB]: 1358
% 0.57/0.78  % (29768)Time elapsed: 0.027 s
% 0.57/0.78  % (29768)Instructions burned: 50 (million)
% 0.57/0.78  % (29768)------------------------------
% 0.57/0.78  % (29768)------------------------------
% 0.76/0.78  % (29786)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.76/0.79  % (29757)Instruction limit reached!
% 0.76/0.79  % (29757)------------------------------
% 0.76/0.79  % (29757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.79  % (29757)Termination reason: Unknown
% 0.76/0.79  % (29757)Termination phase: Saturation
% 0.76/0.79  
% 0.76/0.79  % (29757)Memory used [KB]: 1728
% 0.76/0.79  % (29757)Time elapsed: 0.050 s
% 0.76/0.79  % (29757)Instructions burned: 78 (million)
% 0.76/0.79  % (29757)------------------------------
% 0.76/0.79  % (29757)------------------------------
% 0.76/0.80  % (29761)Instruction limit reached!
% 0.76/0.80  % (29761)------------------------------
% 0.76/0.80  % (29761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.80  % (29761)Termination reason: Unknown
% 0.76/0.80  % (29761)Termination phase: Saturation
% 0.76/0.80  
% 0.76/0.80  % (29761)Memory used [KB]: 2167
% 0.76/0.80  % (29761)Time elapsed: 0.053 s
% 0.76/0.80  % (29761)Instructions burned: 83 (million)
% 0.76/0.80  % (29761)------------------------------
% 0.76/0.80  % (29761)------------------------------
% 0.76/0.80  % (29787)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.76/0.80  % (29788)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.76/0.80  % (29772)First to succeed.
% 0.76/0.80  % (29774)Instruction limit reached!
% 0.76/0.80  % (29774)------------------------------
% 0.76/0.80  % (29774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.80  % (29774)Termination reason: Unknown
% 0.76/0.80  % (29774)Termination phase: Saturation
% 0.76/0.80  
% 0.76/0.80  % (29774)Memory used [KB]: 1517
% 0.76/0.80  % (29774)Time elapsed: 0.036 s
% 0.76/0.80  % (29774)Instructions burned: 53 (million)
% 0.76/0.80  % (29774)------------------------------
% 0.76/0.80  % (29774)------------------------------
% 0.76/0.80  % (29772)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29612"
% 0.76/0.80  % (29772)Refutation found. Thanks to Tanya!
% 0.76/0.80  % SZS status Theorem for Vampire---4
% 0.76/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.80  % (29772)------------------------------
% 0.76/0.80  % (29772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.80  % (29772)Termination reason: Refutation
% 0.76/0.80  
% 0.76/0.80  % (29772)Memory used [KB]: 1520
% 0.76/0.80  % (29772)Time elapsed: 0.039 s
% 0.76/0.80  % (29772)Instructions burned: 122 (million)
% 0.76/0.80  % (29612)Success in time 0.418 s
% 0.76/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------