TSTP Solution File: SET815+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET815+4 : TPTP v8.1.2. Released v3.2.0.
% 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 : n023.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 : Wed May  1 03:49:04 EDT 2024

% Result   : Theorem 1.67s 0.97s
% Output   : Refutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   97 (   5 unt;   0 def)
%            Number of atoms       :  305 (   7 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  327 ( 119   ~; 124   |;  54   &)
%                                         (  20 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   7 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  139 ( 125   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f603,plain,
    $false,
    inference(avatar_sat_refutation,[],[f201,f417,f430,f457,f588,f591,f602]) ).

fof(f602,plain,
    ( spl15_1
    | ~ spl15_12 ),
    inference(avatar_contradiction_clause,[],[f593]) ).

fof(f593,plain,
    ( $false
    | spl15_1
    | ~ spl15_12 ),
    inference(resolution,[],[f456,f419]) ).

fof(f419,plain,
    ( ~ member(sK14(sum(suc(sK1)),sK1),sK1)
    | spl15_1 ),
    inference(resolution,[],[f196,f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK14(X0,X1),X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK14(X0,X1),X1)
          & member(sK14(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f109,f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK14(X0,X1),X1)
        & member(sK14(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.j1wsbqbDEO/Vampire---4.8_4734',subset) ).

fof(f196,plain,
    ( ~ subset(sum(suc(sK1)),sK1)
    | spl15_1 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f194,plain,
    ( spl15_1
  <=> subset(sum(suc(sK1)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f456,plain,
    ( member(sK14(sum(suc(sK1)),sK1),sK1)
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl15_12
  <=> member(sK14(sum(suc(sK1)),sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f591,plain,
    ( spl15_1
    | spl15_11 ),
    inference(avatar_contradiction_clause,[],[f589]) ).

fof(f589,plain,
    ( $false
    | spl15_1
    | spl15_11 ),
    inference(resolution,[],[f452,f420]) ).

fof(f420,plain,
    ( member(sK14(sum(suc(sK1)),sK1),sum(suc(sK1)))
    | spl15_1 ),
    inference(resolution,[],[f196,f175]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK14(X0,X1),X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f452,plain,
    ( ~ member(sK14(sum(suc(sK1)),sK1),sum(suc(sK1)))
    | spl15_11 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl15_11
  <=> member(sK14(sum(suc(sK1)),sK1),sum(suc(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f588,plain,
    ( ~ spl15_11
    | spl15_12
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f585,f327,f454,f450]) ).

fof(f327,plain,
    ( spl15_5
  <=> member(sK13(sK14(sum(suc(sK1)),sK1),suc(sK1)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f585,plain,
    ( member(sK14(sum(suc(sK1)),sK1),sK1)
    | ~ member(sK14(sum(suc(sK1)),sK1),sum(suc(sK1)))
    | ~ spl15_5 ),
    inference(resolution,[],[f460,f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( member(X0,sK13(X0,X1))
      | ~ member(X0,sum(X1)) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) )
      & ( ( member(X0,sK13(X0,X1))
          & member(sK13(X0,X1),X1) )
        | ~ member(X0,sum(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f95,f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X0,X3)
          & member(X3,X1) )
     => ( member(X0,sK13(X0,X1))
        & member(sK13(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) )
      & ( ? [X3] :
            ( member(X0,X3)
            & member(X3,X1) )
        | ~ member(X0,sum(X1)) ) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) )
      & ( ? [X2] :
            ( member(X0,X2)
            & member(X2,X1) )
        | ~ member(X0,sum(X1)) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( member(X0,sum(X1))
    <=> ? [X2] :
          ( member(X0,X2)
          & member(X2,X1) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( member(X2,sum(X0))
    <=> ? [X4] :
          ( member(X2,X4)
          & member(X4,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.j1wsbqbDEO/Vampire---4.8_4734',sum) ).

fof(f460,plain,
    ( ! [X0] :
        ( ~ member(X0,sK13(sK14(sum(suc(sK1)),sK1),suc(sK1)))
        | member(X0,sK1) )
    | ~ spl15_5 ),
    inference(resolution,[],[f329,f311]) ).

fof(f311,plain,
    ! [X0,X1] :
      ( ~ member(X1,sK1)
      | member(X0,sK1)
      | ~ member(X0,X1) ),
    inference(resolution,[],[f189,f112]) ).

fof(f112,plain,
    member(sK1,on),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ~ equal_set(sum(suc(sK1)),sK1)
    & member(sK1,on) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f42,f58]) ).

fof(f58,plain,
    ( ? [X0] :
        ( ~ equal_set(sum(suc(X0)),X0)
        & member(X0,on) )
   => ( ~ equal_set(sum(suc(sK1)),sK1)
      & member(sK1,on) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ? [X0] :
      ( ~ equal_set(sum(suc(X0)),X0)
      & member(X0,on) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ! [X0] :
        ( member(X0,on)
       => equal_set(sum(suc(X0)),X0) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ! [X0] :
      ( member(X0,on)
     => equal_set(sum(suc(X0)),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.j1wsbqbDEO/Vampire---4.8_4734',thV15) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,on)
      | member(X0,X2)
      | ~ member(X1,X2)
      | ~ member(X0,X1) ),
    inference(resolution,[],[f174,f148]) ).

fof(f148,plain,
    ! [X2,X0] :
      ( subset(X2,X0)
      | ~ member(X2,X0)
      | ~ member(X0,on) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ( member(X0,on)
        | ( ~ subset(sK11(X0),X0)
          & member(sK11(X0),X0) )
        | ~ strict_well_order(member_predicate,X0)
        | ~ set(X0) )
      & ( ( ! [X2] :
              ( subset(X2,X0)
              | ~ member(X2,X0) )
          & strict_well_order(member_predicate,X0)
          & set(X0) )
        | ~ member(X0,on) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f87,f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ subset(X1,X0)
          & member(X1,X0) )
     => ( ~ subset(sK11(X0),X0)
        & member(sK11(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f87,plain,
    ! [X0] :
      ( ( member(X0,on)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & member(X1,X0) )
        | ~ strict_well_order(member_predicate,X0)
        | ~ set(X0) )
      & ( ( ! [X2] :
              ( subset(X2,X0)
              | ~ member(X2,X0) )
          & strict_well_order(member_predicate,X0)
          & set(X0) )
        | ~ member(X0,on) ) ),
    inference(rectify,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ( member(X0,on)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & member(X1,X0) )
        | ~ strict_well_order(member_predicate,X0)
        | ~ set(X0) )
      & ( ( ! [X1] :
              ( subset(X1,X0)
              | ~ member(X1,X0) )
          & strict_well_order(member_predicate,X0)
          & set(X0) )
        | ~ member(X0,on) ) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ( member(X0,on)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & member(X1,X0) )
        | ~ strict_well_order(member_predicate,X0)
        | ~ set(X0) )
      & ( ( ! [X1] :
              ( subset(X1,X0)
              | ~ member(X1,X0) )
          & strict_well_order(member_predicate,X0)
          & set(X0) )
        | ~ member(X0,on) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( member(X0,on)
    <=> ( ! [X1] :
            ( subset(X1,X0)
            | ~ member(X1,X0) )
        & strict_well_order(member_predicate,X0)
        & set(X0) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( member(X0,on)
    <=> ( ! [X1] :
            ( member(X1,X0)
           => subset(X1,X0) )
        & strict_well_order(member_predicate,X0)
        & set(X0) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( member(X0,on)
    <=> ( ! [X2] :
            ( member(X2,X0)
           => subset(X2,X0) )
        & strict_well_order(member_predicate,X0)
        & set(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.j1wsbqbDEO/Vampire---4.8_4734',ordinal_number) ).

fof(f174,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X3,X0)
      | member(X3,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f329,plain,
    ( member(sK13(sK14(sum(suc(sK1)),sK1),suc(sK1)),sK1)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f457,plain,
    ( ~ spl15_11
    | spl15_12
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f440,f331,f454,f450]) ).

fof(f331,plain,
    ( spl15_6
  <=> member(sK13(sK14(sum(suc(sK1)),sK1),suc(sK1)),singleton(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f440,plain,
    ( member(sK14(sum(suc(sK1)),sK1),sK1)
    | ~ member(sK14(sum(suc(sK1)),sK1),sum(suc(sK1)))
    | ~ spl15_6 ),
    inference(superposition,[],[f155,f434]) ).

fof(f434,plain,
    ( sK1 = sK13(sK14(sum(suc(sK1)),sK1),suc(sK1))
    | ~ spl15_6 ),
    inference(resolution,[],[f333,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( member(X0,singleton(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ member(X0,singleton(X1)) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
    <=> X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X0] :
      ( member(X2,singleton(X0))
    <=> X0 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.j1wsbqbDEO/Vampire---4.8_4734',singleton) ).

fof(f333,plain,
    ( member(sK13(sK14(sum(suc(sK1)),sK1),suc(sK1)),singleton(sK1))
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f430,plain,
    ( spl15_5
    | spl15_6
    | spl15_1 ),
    inference(avatar_split_clause,[],[f427,f194,f331,f327]) ).

fof(f427,plain,
    ( member(sK13(sK14(sum(suc(sK1)),sK1),suc(sK1)),singleton(sK1))
    | member(sK13(sK14(sum(suc(sK1)),sK1),suc(sK1)),sK1)
    | spl15_1 ),
    inference(resolution,[],[f424,f230]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ~ member(X0,suc(X1))
      | member(X0,singleton(X1))
      | member(X0,X1) ),
    inference(resolution,[],[f166,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( member(X1,union(X0,singleton(X0)))
      | ~ member(X1,suc(X0)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( member(X1,suc(X0))
        | ~ member(X1,union(X0,singleton(X0))) )
      & ( member(X1,union(X0,singleton(X0)))
        | ~ member(X1,suc(X0)) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( member(X1,suc(X0))
    <=> member(X1,union(X0,singleton(X0))) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X2] :
      ( member(X2,suc(X0))
    <=> member(X2,union(X0,singleton(X0))) ),
    file('/export/starexec/sandbox2/tmp/tmp.j1wsbqbDEO/Vampire---4.8_4734',successor) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(X1,X2))
      | member(X0,X1)
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) )
      & ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) )
      & ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( member(X0,union(X1,X2))
    <=> ( member(X0,X2)
        | member(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X1)
        | member(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.j1wsbqbDEO/Vampire---4.8_4734',union) ).

fof(f424,plain,
    ( member(sK13(sK14(sum(suc(sK1)),sK1),suc(sK1)),suc(sK1))
    | spl15_1 ),
    inference(resolution,[],[f420,f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ~ member(X0,sum(X1))
      | member(sK13(X0,X1),X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f417,plain,
    spl15_2,
    inference(avatar_contradiction_clause,[],[f416]) ).

fof(f416,plain,
    ( $false
    | spl15_2 ),
    inference(resolution,[],[f412,f338]) ).

fof(f338,plain,
    ( member(sK14(sK1,sum(suc(sK1))),sK1)
    | spl15_2 ),
    inference(resolution,[],[f200,f175]) ).

fof(f200,plain,
    ( ~ subset(sK1,sum(suc(sK1)))
    | spl15_2 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl15_2
  <=> subset(sK1,sum(suc(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f412,plain,
    ( ~ member(sK14(sK1,sum(suc(sK1))),sK1)
    | spl15_2 ),
    inference(resolution,[],[f405,f180]) ).

fof(f180,plain,
    ! [X1] : member(X1,singleton(X1)),
    inference(equality_resolution,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f405,plain,
    ( ! [X0] :
        ( ~ member(X0,singleton(sK1))
        | ~ member(sK14(sK1,sum(suc(sK1))),X0) )
    | spl15_2 ),
    inference(resolution,[],[f360,f168]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f360,plain,
    ( ! [X0] :
        ( ~ member(X0,union(sK1,singleton(sK1)))
        | ~ member(sK14(sK1,sum(suc(sK1))),X0) )
    | spl15_2 ),
    inference(resolution,[],[f348,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( member(X1,suc(X0))
      | ~ member(X1,union(X0,singleton(X0))) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ member(X0,suc(sK1))
        | ~ member(sK14(sK1,sum(suc(sK1))),X0) )
    | spl15_2 ),
    inference(resolution,[],[f337,f156]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( member(X0,sum(X1))
      | ~ member(X0,X2)
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f337,plain,
    ( ~ member(sK14(sK1,sum(suc(sK1))),sum(suc(sK1)))
    | spl15_2 ),
    inference(resolution,[],[f200,f176]) ).

fof(f201,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f192,f198,f194]) ).

fof(f192,plain,
    ( ~ subset(sK1,sum(suc(sK1)))
    | ~ subset(sum(suc(sK1)),sK1) ),
    inference(resolution,[],[f177,f113]) ).

fof(f113,plain,
    ~ equal_set(sum(suc(sK1)),sK1),
    inference(cnf_transformation,[],[f59]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
     => equal_set(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.j1wsbqbDEO/Vampire---4.8_4734',equal_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET815+4 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % 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 : n023.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   : Tue Apr 30 17:35:10 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.j1wsbqbDEO/Vampire---4.8_4734
% 0.55/0.76  % (5070)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)
% 0.55/0.76  % (5064)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)
% 0.55/0.76  % (5066)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (5065)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)
% 0.55/0.76  % (5068)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)
% 0.55/0.76  % (5067)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)
% 0.55/0.76  % (5069)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)
% 0.55/0.76  % (5067)Refutation not found, incomplete strategy% (5067)------------------------------
% 0.55/0.76  % (5067)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (5064)Refutation not found, incomplete strategy% (5064)------------------------------
% 0.55/0.76  % (5064)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (5067)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  % (5064)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  
% 0.55/0.76  % (5067)Memory used [KB]: 1058
% 0.55/0.76  % (5064)Memory used [KB]: 1074
% 0.55/0.76  % (5067)Time elapsed: 0.003 s
% 0.55/0.76  % (5064)Time elapsed: 0.003 s
% 0.55/0.76  % (5067)Instructions burned: 3 (million)
% 0.55/0.76  % (5064)Instructions burned: 3 (million)
% 0.55/0.76  % (5067)------------------------------
% 0.55/0.76  % (5067)------------------------------
% 0.55/0.76  % (5064)------------------------------
% 0.55/0.76  % (5064)------------------------------
% 0.55/0.76  % (5071)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)
% 0.55/0.76  % (5075)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)
% 0.55/0.77  % (5076)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)
% 0.59/0.77  % (5071)Refutation not found, incomplete strategy% (5071)------------------------------
% 0.59/0.77  % (5071)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (5071)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (5071)Memory used [KB]: 1061
% 0.59/0.77  % (5071)Time elapsed: 0.004 s
% 0.59/0.77  % (5071)Instructions burned: 3 (million)
% 0.59/0.77  % (5071)------------------------------
% 0.59/0.77  % (5071)------------------------------
% 0.59/0.77  % (5080)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)
% 0.59/0.78  % (5080)Refutation not found, incomplete strategy% (5080)------------------------------
% 0.59/0.78  % (5080)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (5080)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (5080)Memory used [KB]: 1086
% 0.59/0.78  % (5080)Time elapsed: 0.007 s
% 0.59/0.78  % (5080)Instructions burned: 7 (million)
% 0.59/0.78  % (5080)------------------------------
% 0.59/0.78  % (5080)------------------------------
% 0.59/0.78  % (5068)Instruction limit reached!
% 0.59/0.78  % (5068)------------------------------
% 0.59/0.78  % (5068)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (5068)Termination reason: Unknown
% 0.59/0.78  % (5068)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (5068)Memory used [KB]: 1509
% 0.59/0.78  % (5068)Time elapsed: 0.021 s
% 0.59/0.78  % (5068)Instructions burned: 34 (million)
% 0.59/0.78  % (5068)------------------------------
% 0.59/0.78  % (5068)------------------------------
% 0.59/0.78  % (5069)Instruction limit reached!
% 0.59/0.78  % (5069)------------------------------
% 0.59/0.78  % (5069)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (5069)Termination reason: Unknown
% 0.59/0.78  % (5069)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (5069)Memory used [KB]: 1288
% 0.59/0.78  % (5069)Time elapsed: 0.022 s
% 0.59/0.78  % (5069)Instructions burned: 46 (million)
% 0.59/0.78  % (5069)------------------------------
% 0.59/0.78  % (5069)------------------------------
% 0.59/0.78  % (5083)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 (2995ds/52Mi)
% 0.59/0.78  % (5084)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 (2995ds/518Mi)
% 0.59/0.78  % (5065)Instruction limit reached!
% 0.59/0.78  % (5065)------------------------------
% 0.59/0.78  % (5065)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (5065)Termination reason: Unknown
% 0.59/0.78  % (5065)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (5065)Memory used [KB]: 1308
% 0.59/0.78  % (5065)Time elapsed: 0.026 s
% 0.59/0.78  % (5065)Instructions burned: 51 (million)
% 0.59/0.78  % (5065)------------------------------
% 0.59/0.78  % (5065)------------------------------
% 0.59/0.78  % (5085)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 (2995ds/42Mi)
% 0.59/0.79  % (5070)Instruction limit reached!
% 0.59/0.79  % (5070)------------------------------
% 0.59/0.79  % (5070)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (5070)Termination reason: Unknown
% 0.59/0.79  % (5070)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (5070)Memory used [KB]: 2022
% 0.59/0.79  % (5070)Time elapsed: 0.031 s
% 0.59/0.79  % (5070)Instructions burned: 84 (million)
% 0.59/0.79  % (5070)------------------------------
% 0.59/0.79  % (5070)------------------------------
% 0.59/0.79  % (5088)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 (2995ds/243Mi)
% 0.59/0.79  % (5091)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 (2995ds/117Mi)
% 0.59/0.79  % (5076)Instruction limit reached!
% 0.59/0.79  % (5076)------------------------------
% 0.59/0.79  % (5076)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (5076)Termination reason: Unknown
% 0.59/0.79  % (5076)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (5076)Memory used [KB]: 1487
% 0.59/0.79  % (5076)Time elapsed: 0.029 s
% 0.59/0.79  % (5076)Instructions burned: 51 (million)
% 0.59/0.79  % (5076)------------------------------
% 0.59/0.79  % (5076)------------------------------
% 0.59/0.79  % (5075)Instruction limit reached!
% 0.59/0.79  % (5075)------------------------------
% 0.59/0.79  % (5075)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (5075)Termination reason: Unknown
% 0.59/0.79  % (5075)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (5075)Memory used [KB]: 1989
% 0.59/0.79  % (5075)Time elapsed: 0.032 s
% 0.59/0.79  % (5075)Instructions burned: 56 (million)
% 0.59/0.79  % (5075)------------------------------
% 0.59/0.79  % (5075)------------------------------
% 0.59/0.80  % (5093)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 (2995ds/143Mi)
% 0.59/0.80  % (5095)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 (2995ds/93Mi)
% 0.59/0.80  % (5066)Instruction limit reached!
% 0.59/0.80  % (5066)------------------------------
% 0.59/0.80  % (5066)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (5066)Termination reason: Unknown
% 0.59/0.80  % (5066)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (5066)Memory used [KB]: 1703
% 0.59/0.80  % (5066)Time elapsed: 0.044 s
% 0.59/0.80  % (5066)Instructions burned: 79 (million)
% 0.59/0.80  % (5066)------------------------------
% 0.59/0.80  % (5066)------------------------------
% 0.59/0.80  % (5096)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)
% 0.59/0.81  % (5085)Instruction limit reached!
% 0.59/0.81  % (5085)------------------------------
% 0.59/0.81  % (5085)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81  % (5085)Termination reason: Unknown
% 0.59/0.81  % (5085)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (5085)Memory used [KB]: 1665
% 0.59/0.81  % (5085)Time elapsed: 0.028 s
% 0.59/0.81  % (5085)Instructions burned: 42 (million)
% 0.59/0.81  % (5085)------------------------------
% 0.59/0.81  % (5085)------------------------------
% 0.59/0.81  % (5083)Instruction limit reached!
% 0.59/0.81  % (5083)------------------------------
% 0.59/0.81  % (5083)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81  % (5083)Termination reason: Unknown
% 0.59/0.81  % (5083)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (5083)Memory used [KB]: 1481
% 0.59/0.81  % (5083)Time elapsed: 0.034 s
% 0.59/0.81  % (5083)Instructions burned: 52 (million)
% 0.59/0.81  % (5083)------------------------------
% 0.59/0.81  % (5083)------------------------------
% 0.59/0.81  % (5100)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)
% 0.59/0.82  % (5101)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.59/0.83  % (5091)Instruction limit reached!
% 0.59/0.83  % (5091)------------------------------
% 0.59/0.83  % (5091)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.83  % (5091)Termination reason: Unknown
% 0.59/0.83  % (5091)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (5091)Memory used [KB]: 1797
% 0.59/0.83  % (5091)Time elapsed: 0.040 s
% 0.59/0.83  % (5091)Instructions burned: 117 (million)
% 0.59/0.83  % (5091)------------------------------
% 0.59/0.83  % (5091)------------------------------
% 0.59/0.83  % (5108)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.83  % (5100)Instruction limit reached!
% 0.59/0.83  % (5100)------------------------------
% 0.59/0.83  % (5100)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.83  % (5100)Termination reason: Unknown
% 0.59/0.83  % (5100)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (5100)Memory used [KB]: 1471
% 0.59/0.83  % (5100)Time elapsed: 0.045 s
% 0.59/0.83  % (5100)Instructions burned: 32 (million)
% 0.59/0.83  % (5100)------------------------------
% 0.59/0.83  % (5100)------------------------------
% 0.59/0.84  % (5112)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.59/0.84  % (5096)Instruction limit reached!
% 0.59/0.84  % (5096)------------------------------
% 0.59/0.84  % (5096)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.84  % (5096)Termination reason: Unknown
% 0.59/0.84  % (5096)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (5096)Memory used [KB]: 1891
% 0.59/0.84  % (5096)Time elapsed: 0.058 s
% 0.59/0.84  % (5096)Instructions burned: 63 (million)
% 0.59/0.84  % (5096)------------------------------
% 0.59/0.84  % (5096)------------------------------
% 0.59/0.84  % (5112)Refutation not found, incomplete strategy% (5112)------------------------------
% 0.59/0.84  % (5112)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.84  % (5112)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.84  
% 0.59/0.84  % (5112)Memory used [KB]: 1053
% 0.59/0.84  % (5112)Time elapsed: 0.003 s
% 0.59/0.84  % (5112)Instructions burned: 2 (million)
% 0.59/0.84  % (5112)------------------------------
% 0.59/0.84  % (5112)------------------------------
% 0.59/0.84  % (5095)Instruction limit reached!
% 0.59/0.84  % (5095)------------------------------
% 0.59/0.84  % (5095)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.84  % (5095)Termination reason: Unknown
% 0.59/0.84  % (5095)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (5095)Memory used [KB]: 1356
% 0.59/0.84  % (5095)Time elapsed: 0.066 s
% 0.59/0.84  % (5095)Instructions burned: 95 (million)
% 0.59/0.84  % (5095)------------------------------
% 0.59/0.84  % (5095)------------------------------
% 0.59/0.84  % (5116)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 1.05/0.84  % (5118)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 1.05/0.85  % (5119)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 1.05/0.85  % (5118)Refutation not found, incomplete strategy% (5118)------------------------------
% 1.05/0.85  % (5118)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.85  % (5118)Termination reason: Refutation not found, incomplete strategy
% 1.05/0.85  
% 1.05/0.85  % (5118)Memory used [KB]: 1073
% 1.05/0.85  % (5118)Time elapsed: 0.006 s
% 1.05/0.85  % (5118)Instructions burned: 5 (million)
% 1.05/0.85  % (5118)------------------------------
% 1.05/0.85  % (5118)------------------------------
% 1.05/0.85  % (5108)Instruction limit reached!
% 1.05/0.85  % (5108)------------------------------
% 1.05/0.85  % (5108)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.85  % (5108)Termination reason: Unknown
% 1.05/0.85  % (5108)Termination phase: Saturation
% 1.05/0.85  
% 1.05/0.85  % (5108)Memory used [KB]: 1789
% 1.05/0.85  % (5108)Time elapsed: 0.020 s
% 1.05/0.85  % (5108)Instructions burned: 55 (million)
% 1.05/0.85  % (5108)------------------------------
% 1.05/0.85  % (5108)------------------------------
% 1.05/0.85  % (5124)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 1.05/0.85  % (5126)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 1.05/0.86  % (5119)Instruction limit reached!
% 1.05/0.86  % (5119)------------------------------
% 1.05/0.86  % (5119)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.86  % (5119)Termination reason: Unknown
% 1.05/0.86  % (5119)Termination phase: Saturation
% 1.05/0.86  
% 1.05/0.86  % (5119)Memory used [KB]: 1364
% 1.05/0.86  % (5119)Time elapsed: 0.020 s
% 1.05/0.86  % (5119)Instructions burned: 35 (million)
% 1.05/0.86  % (5119)------------------------------
% 1.05/0.86  % (5119)------------------------------
% 1.05/0.87  % (5135)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.05/0.87  % (5116)Instruction limit reached!
% 1.05/0.87  % (5116)------------------------------
% 1.05/0.87  % (5116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.87  % (5116)Termination reason: Unknown
% 1.05/0.87  % (5116)Termination phase: Saturation
% 1.05/0.87  
% 1.05/0.87  % (5116)Memory used [KB]: 1765
% 1.05/0.87  % (5116)Time elapsed: 0.031 s
% 1.05/0.87  % (5116)Instructions burned: 47 (million)
% 1.05/0.87  % (5116)------------------------------
% 1.05/0.87  % (5116)------------------------------
% 1.13/0.88  % (5093)Instruction limit reached!
% 1.13/0.88  % (5093)------------------------------
% 1.13/0.88  % (5093)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.88  % (5093)Termination reason: Unknown
% 1.13/0.88  % (5093)Termination phase: Saturation
% 1.13/0.88  
% 1.13/0.88  % (5093)Memory used [KB]: 2523
% 1.13/0.88  % (5093)Time elapsed: 0.102 s
% 1.13/0.88  % (5093)Instructions burned: 144 (million)
% 1.13/0.88  % (5093)------------------------------
% 1.13/0.88  % (5093)------------------------------
% 1.13/0.88  % (5141)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.13/0.88  % (5143)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.13/0.89  % (5126)Instruction limit reached!
% 1.13/0.89  % (5126)------------------------------
% 1.13/0.89  % (5126)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.89  % (5126)Termination reason: Unknown
% 1.13/0.89  % (5126)Termination phase: Saturation
% 1.13/0.89  
% 1.13/0.89  % (5126)Memory used [KB]: 2253
% 1.13/0.89  % (5126)Time elapsed: 0.037 s
% 1.13/0.89  % (5126)Instructions burned: 109 (million)
% 1.13/0.89  % (5126)------------------------------
% 1.13/0.89  % (5126)------------------------------
% 1.13/0.89  % (5124)Instruction limit reached!
% 1.13/0.89  % (5124)------------------------------
% 1.13/0.89  % (5124)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.89  % (5124)Termination reason: Unknown
% 1.13/0.89  % (5124)Termination phase: Saturation
% 1.13/0.89  
% 1.13/0.89  % (5124)Memory used [KB]: 2645
% 1.13/0.89  % (5124)Time elapsed: 0.040 s
% 1.13/0.89  % (5124)Instructions burned: 89 (million)
% 1.13/0.89  % (5124)------------------------------
% 1.13/0.89  % (5124)------------------------------
% 1.13/0.89  % (5147)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.13/0.89  % (5148)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 1.13/0.90  % (5143)Instruction limit reached!
% 1.13/0.90  % (5143)------------------------------
% 1.13/0.90  % (5143)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.90  % (5143)Termination reason: Unknown
% 1.13/0.90  % (5143)Termination phase: Saturation
% 1.13/0.90  
% 1.13/0.90  % (5143)Memory used [KB]: 1733
% 1.13/0.90  % (5143)Time elapsed: 0.022 s
% 1.13/0.90  % (5143)Instructions burned: 42 (million)
% 1.13/0.90  % (5143)------------------------------
% 1.13/0.90  % (5143)------------------------------
% 1.13/0.90  % (5141)Instruction limit reached!
% 1.13/0.90  % (5141)------------------------------
% 1.13/0.90  % (5141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.90  % (5141)Termination reason: Unknown
% 1.13/0.90  % (5141)Termination phase: Saturation
% 1.13/0.90  
% 1.13/0.90  % (5141)Memory used [KB]: 1912
% 1.13/0.90  % (5141)Time elapsed: 0.028 s
% 1.13/0.90  % (5141)Instructions burned: 69 (million)
% 1.13/0.90  % (5141)------------------------------
% 1.13/0.90  % (5141)------------------------------
% 1.13/0.90  % (5151)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.13/0.90  % (5088)Instruction limit reached!
% 1.13/0.90  % (5088)------------------------------
% 1.13/0.90  % (5088)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.90  % (5088)Termination reason: Unknown
% 1.13/0.90  % (5088)Termination phase: Saturation
% 1.13/0.90  
% 1.13/0.90  % (5088)Memory used [KB]: 2750
% 1.13/0.90  % (5088)Time elapsed: 0.117 s
% 1.13/0.90  % (5088)Instructions burned: 244 (million)
% 1.13/0.90  % (5088)------------------------------
% 1.13/0.90  % (5088)------------------------------
% 1.13/0.90  % (5154)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 1.13/0.90  % (5155)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 1.13/0.91  % (5151)Refutation not found, incomplete strategy% (5151)------------------------------
% 1.13/0.91  % (5151)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.91  % (5151)Termination reason: Refutation not found, incomplete strategy
% 1.13/0.91  
% 1.13/0.91  % (5151)Memory used [KB]: 1084
% 1.13/0.91  % (5151)Time elapsed: 0.004 s
% 1.13/0.91  % (5151)Instructions burned: 9 (million)
% 1.13/0.91  % (5151)------------------------------
% 1.13/0.91  % (5151)------------------------------
% 1.13/0.91  % (5156)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 1.13/0.91  % (5135)Instruction limit reached!
% 1.13/0.91  % (5135)------------------------------
% 1.13/0.91  % (5135)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.91  % (5135)Termination reason: Unknown
% 1.13/0.91  % (5135)Termination phase: Saturation
% 1.13/0.91  
% 1.13/0.91  % (5135)Memory used [KB]: 1378
% 1.13/0.91  % (5135)Time elapsed: 0.044 s
% 1.13/0.91  % (5135)Instructions burned: 164 (million)
% 1.13/0.91  % (5135)------------------------------
% 1.13/0.91  % (5135)------------------------------
% 1.13/0.91  % (5157)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.13/0.92  % (5154)Instruction limit reached!
% 1.13/0.92  % (5154)------------------------------
% 1.13/0.92  % (5154)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.92  % (5154)Termination reason: Unknown
% 1.13/0.92  % (5154)Termination phase: Saturation
% 1.13/0.92  
% 1.13/0.92  % (5154)Memory used [KB]: 1740
% 1.13/0.92  % (5154)Time elapsed: 0.015 s
% 1.13/0.92  % (5154)Instructions burned: 37 (million)
% 1.13/0.92  % (5154)------------------------------
% 1.13/0.92  % (5154)------------------------------
% 1.13/0.92  % (5158)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 1.13/0.92  % (5157)Instruction limit reached!
% 1.13/0.92  % (5157)------------------------------
% 1.13/0.92  % (5157)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/0.92  % (5157)Termination reason: Unknown
% 1.13/0.92  % (5157)Termination phase: Saturation
% 1.13/0.92  
% 1.13/0.92  % (5157)Memory used [KB]: 1491
% 1.13/0.92  % (5157)Time elapsed: 0.013 s
% 1.13/0.92  % (5157)Instructions burned: 34 (million)
% 1.13/0.92  % (5157)------------------------------
% 1.13/0.92  % (5157)------------------------------
% 1.56/0.92  % (5155)Instruction limit reached!
% 1.56/0.92  % (5155)------------------------------
% 1.56/0.92  % (5155)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.56/0.92  % (5155)Termination reason: Unknown
% 1.56/0.92  % (5155)Termination phase: Saturation
% 1.56/0.92  
% 1.56/0.92  % (5155)Memory used [KB]: 1524
% 1.56/0.92  % (5155)Time elapsed: 0.021 s
% 1.56/0.92  % (5155)Instructions burned: 57 (million)
% 1.56/0.92  % (5155)------------------------------
% 1.56/0.92  % (5155)------------------------------
% 1.56/0.93  % (5156)Instruction limit reached!
% 1.56/0.93  % (5156)------------------------------
% 1.56/0.93  % (5156)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.56/0.93  % (5156)Termination reason: Unknown
% 1.56/0.93  % (5156)Termination phase: Saturation
% 1.56/0.93  
% 1.56/0.93  % (5156)Memory used [KB]: 1520
% 1.56/0.93  % (5156)Time elapsed: 0.019 s
% 1.56/0.93  % (5156)Instructions burned: 48 (million)
% 1.56/0.93  % (5156)------------------------------
% 1.56/0.93  % (5156)------------------------------
% 1.56/0.93  % (5159)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2994ds/54Mi)
% 1.56/0.93  % (5160)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2994ds/82Mi)
% 1.56/0.93  % (5161)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2994ds/119Mi)
% 1.56/0.94  % (5148)Instruction limit reached!
% 1.56/0.94  % (5148)------------------------------
% 1.56/0.94  % (5148)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.56/0.94  % (5148)Termination reason: Unknown
% 1.56/0.94  % (5148)Termination phase: Saturation
% 1.56/0.94  
% 1.56/0.94  % (5148)Memory used [KB]: 2043
% 1.56/0.94  % (5148)Time elapsed: 0.049 s
% 1.56/0.94  % (5148)Instructions burned: 163 (million)
% 1.56/0.94  % (5148)------------------------------
% 1.56/0.94  % (5148)------------------------------
% 1.56/0.94  % (5162)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2994ds/177Mi)
% 1.56/0.94  % (5159)Instruction limit reached!
% 1.56/0.94  % (5159)------------------------------
% 1.56/0.94  % (5159)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.56/0.94  % (5159)Termination reason: Unknown
% 1.56/0.94  % (5159)Termination phase: Saturation
% 1.56/0.94  
% 1.56/0.94  % (5159)Memory used [KB]: 1455
% 1.56/0.94  % (5159)Time elapsed: 0.019 s
% 1.56/0.94  % (5159)Instructions burned: 55 (million)
% 1.56/0.94  % (5159)------------------------------
% 1.56/0.94  % (5159)------------------------------
% 1.67/0.95  % (5163)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2994ds/117Mi)
% 1.67/0.95  % (5160)Instruction limit reached!
% 1.67/0.95  % (5160)------------------------------
% 1.67/0.95  % (5160)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.67/0.95  % (5160)Termination reason: Unknown
% 1.67/0.95  % (5160)Termination phase: Saturation
% 1.67/0.95  
% 1.67/0.95  % (5160)Memory used [KB]: 2618
% 1.67/0.95  % (5160)Time elapsed: 0.025 s
% 1.67/0.95  % (5160)Instructions burned: 84 (million)
% 1.67/0.95  % (5160)------------------------------
% 1.67/0.95  % (5160)------------------------------
% 1.67/0.95  % (5164)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2994ds/49Mi)
% 1.67/0.96  % (5158)Instruction limit reached!
% 1.67/0.96  % (5158)------------------------------
% 1.67/0.96  % (5158)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.67/0.96  % (5158)Termination reason: Unknown
% 1.67/0.96  % (5158)Termination phase: Saturation
% 1.67/0.96  
% 1.67/0.96  % (5158)Memory used [KB]: 1646
% 1.67/0.96  % (5158)Time elapsed: 0.039 s
% 1.67/0.96  % (5158)Instructions burned: 133 (million)
% 1.67/0.96  % (5158)------------------------------
% 1.67/0.96  % (5158)------------------------------
% 1.67/0.96  % (5165)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2994ds/51Mi)
% 1.67/0.96  % (5164)First to succeed.
% 1.67/0.97  % (5164)Refutation found. Thanks to Tanya!
% 1.67/0.97  % SZS status Theorem for Vampire---4
% 1.67/0.97  % SZS output start Proof for Vampire---4
% See solution above
% 1.67/0.97  % (5164)------------------------------
% 1.67/0.97  % (5164)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.67/0.97  % (5164)Termination reason: Refutation
% 1.67/0.97  
% 1.67/0.97  % (5164)Memory used [KB]: 1323
% 1.67/0.97  % (5164)Time elapsed: 0.012 s
% 1.67/0.97  % (5164)Instructions burned: 31 (million)
% 1.67/0.97  % (5164)------------------------------
% 1.67/0.97  % (5164)------------------------------
% 1.67/0.97  % (4912)Success in time 0.592 s
% 1.67/0.97  % Vampire---4.8 exiting
%------------------------------------------------------------------------------