TSTP Solution File: SEU311+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU311+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 03:51:46 EDT 2024

% Result   : Theorem 0.64s 0.82s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   68 (   9 unt;   0 def)
%            Number of atoms       :  299 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  371 ( 140   ~; 138   |;  67   &)
%                                         (  11 <=>;  13  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :  110 (  83   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f458,plain,
    $false,
    inference(avatar_sat_refutation,[],[f406,f433,f446]) ).

fof(f446,plain,
    ~ spl10_28,
    inference(avatar_contradiction_clause,[],[f445]) ).

fof(f445,plain,
    ( $false
    | ~ spl10_28 ),
    inference(subsumption_resolution,[],[f444,f405]) ).

fof(f405,plain,
    ( in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1))
    | ~ spl10_28 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f403,plain,
    ( spl10_28
  <=> in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).

fof(f444,plain,
    ( ~ in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1))
    | ~ spl10_28 ),
    inference(subsumption_resolution,[],[f438,f300]) ).

fof(f300,plain,
    element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0)))),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f298,plain,
    ( element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0))))
    | element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0)))) ),
    inference(resolution,[],[f201,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( in(sK5(X0,X1),X0)
      | element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ( ~ in(sK5(X0,X1),X1)
        & in(sK5(X0,X1),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f59,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK5(X0,X1),X1)
        & in(sK5(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) )
     => element(X0,powerset(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.dFdKiYkp3T/Vampire---4.8_23165',l71_subset_1) ).

fof(f201,plain,
    ! [X0] :
      ( ~ in(sK5(X0,powerset(the_carrier(sK0))),sK3(sK0,sK1))
      | element(X0,powerset(powerset(the_carrier(sK0)))) ),
    inference(resolution,[],[f151,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X1)
      | element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f151,plain,
    ! [X0] :
      ( in(X0,powerset(the_carrier(sK0)))
      | ~ in(X0,sK3(sK0,sK1)) ),
    inference(subsumption_resolution,[],[f150,f90]) ).

fof(f90,plain,
    topological_space(sK0),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ! [X2] :
        ( ( ( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
            | ~ in(sK2(X2),X2) )
          & ( in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
            | in(sK2(X2),X2) )
          & element(sK2(X2),powerset(the_carrier(sK0))) )
        | ~ element(X2,powerset(powerset(the_carrier(sK0)))) )
    & element(sK1,powerset(powerset(the_carrier(sK0))))
    & top_str(sK0)
    & topological_space(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f69,f71,f70]) ).

fof(f70,plain,
    ( ? [X0,X1] :
        ( ! [X2] :
            ( ? [X3] :
                ( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                  | ~ in(X3,X2) )
                & ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                  | in(X3,X2) )
                & element(X3,powerset(the_carrier(X0))) )
            | ~ element(X2,powerset(powerset(the_carrier(X0)))) )
        & element(X1,powerset(powerset(the_carrier(X0))))
        & top_str(X0)
        & topological_space(X0) )
   => ( ! [X2] :
          ( ? [X3] :
              ( ( ~ in(set_difference(cast_as_carrier_subset(sK0),X3),sK1)
                | ~ in(X3,X2) )
              & ( in(set_difference(cast_as_carrier_subset(sK0),X3),sK1)
                | in(X3,X2) )
              & element(X3,powerset(the_carrier(sK0))) )
          | ~ element(X2,powerset(powerset(the_carrier(sK0)))) )
      & element(sK1,powerset(powerset(the_carrier(sK0))))
      & top_str(sK0)
      & topological_space(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X2] :
      ( ? [X3] :
          ( ( ~ in(set_difference(cast_as_carrier_subset(sK0),X3),sK1)
            | ~ in(X3,X2) )
          & ( in(set_difference(cast_as_carrier_subset(sK0),X3),sK1)
            | in(X3,X2) )
          & element(X3,powerset(the_carrier(sK0))) )
     => ( ( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
          | ~ in(sK2(X2),X2) )
        & ( in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
          | in(sK2(X2),X2) )
        & element(sK2(X2),powerset(the_carrier(sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ? [X3] :
              ( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                | ~ in(X3,X2) )
              & ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                | in(X3,X2) )
              & element(X3,powerset(the_carrier(X0))) )
          | ~ element(X2,powerset(powerset(the_carrier(X0)))) )
      & element(X1,powerset(powerset(the_carrier(X0))))
      & top_str(X0)
      & topological_space(X0) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ? [X3] :
              ( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                | ~ in(X3,X2) )
              & ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                | in(X3,X2) )
              & element(X3,powerset(the_carrier(X0))) )
          | ~ element(X2,powerset(powerset(the_carrier(X0)))) )
      & element(X1,powerset(powerset(the_carrier(X0))))
      & top_str(X0)
      & topological_space(X0) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ? [X3] :
              ( ( in(X3,X2)
              <~> in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
              & element(X3,powerset(the_carrier(X0))) )
          | ~ element(X2,powerset(powerset(the_carrier(X0)))) )
      & element(X1,powerset(powerset(the_carrier(X0))))
      & top_str(X0)
      & topological_space(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ? [X3] :
              ( ( in(X3,X2)
              <~> in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
              & element(X3,powerset(the_carrier(X0))) )
          | ~ element(X2,powerset(powerset(the_carrier(X0)))) )
      & element(X1,powerset(powerset(the_carrier(X0))))
      & top_str(X0)
      & topological_space(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( element(X1,powerset(powerset(the_carrier(X0))))
          & top_str(X0)
          & topological_space(X0) )
       => ? [X2] :
            ( ! [X3] :
                ( element(X3,powerset(the_carrier(X0)))
               => ( in(X3,X2)
                <=> in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
            & element(X2,powerset(powerset(the_carrier(X0)))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1] :
      ( ( element(X1,powerset(powerset(the_carrier(X0))))
        & top_str(X0)
        & topological_space(X0) )
     => ? [X2] :
          ( ! [X3] :
              ( element(X3,powerset(the_carrier(X0)))
             => ( in(X3,X2)
              <=> in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
          & element(X2,powerset(powerset(the_carrier(X0)))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.dFdKiYkp3T/Vampire---4.8_23165',s3_subset_1__e2_37_1_1__pre_topc) ).

fof(f150,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK0,sK1))
      | in(X0,powerset(the_carrier(sK0)))
      | ~ topological_space(sK0) ),
    inference(subsumption_resolution,[],[f138,f91]) ).

fof(f91,plain,
    top_str(sK0),
    inference(cnf_transformation,[],[f72]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK0,sK1))
      | in(X0,powerset(the_carrier(sK0)))
      | ~ top_str(sK0)
      | ~ topological_space(sK0) ),
    inference(resolution,[],[f92,f96]) ).

fof(f96,plain,
    ! [X3,X0,X1] :
      ( ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ in(X3,sK3(X0,X1))
      | in(X3,powerset(the_carrier(X0)))
      | ~ top_str(X0)
      | ~ topological_space(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ! [X3] :
          ( ( in(X3,sK3(X0,X1))
            | ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
            | ~ in(X3,powerset(the_carrier(X0))) )
          & ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
              & in(X3,powerset(the_carrier(X0))) )
            | ~ in(X3,sK3(X0,X1)) ) )
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ top_str(X0)
      | ~ topological_space(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f74,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( in(X3,X2)
            | ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
            | ~ in(X3,powerset(the_carrier(X0))) )
          & ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
              & in(X3,powerset(the_carrier(X0))) )
            | ~ in(X3,X2) ) )
     => ! [X3] :
          ( ( in(X3,sK3(X0,X1))
            | ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
            | ~ in(X3,powerset(the_carrier(X0))) )
          & ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
              & in(X3,powerset(the_carrier(X0))) )
            | ~ in(X3,sK3(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( in(X3,X2)
            | ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
            | ~ in(X3,powerset(the_carrier(X0))) )
          & ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
              & in(X3,powerset(the_carrier(X0))) )
            | ~ in(X3,X2) ) )
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ top_str(X0)
      | ~ topological_space(X0) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( in(X3,X2)
            | ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
            | ~ in(X3,powerset(the_carrier(X0))) )
          & ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
              & in(X3,powerset(the_carrier(X0))) )
            | ~ in(X3,X2) ) )
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ top_str(X0)
      | ~ topological_space(X0) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
            & in(X3,powerset(the_carrier(X0))) ) )
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ top_str(X0)
      | ~ topological_space(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
            & in(X3,powerset(the_carrier(X0))) ) )
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ top_str(X0)
      | ~ topological_space(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( ( element(X1,powerset(powerset(the_carrier(X0))))
        & top_str(X0)
        & topological_space(X0) )
     => ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
            & in(X3,powerset(the_carrier(X0))) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.dFdKiYkp3T/Vampire---4.8_23165',s1_xboole_0__e2_37_1_1__pre_topc__1) ).

fof(f92,plain,
    element(sK1,powerset(powerset(the_carrier(sK0)))),
    inference(cnf_transformation,[],[f72]) ).

fof(f438,plain,
    ( ~ element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0))))
    | ~ in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1))
    | ~ spl10_28 ),
    inference(resolution,[],[f405,f343]) ).

fof(f343,plain,
    ! [X0] :
      ( ~ in(sK2(X0),sK3(sK0,sK1))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X0),X0) ),
    inference(subsumption_resolution,[],[f342,f90]) ).

fof(f342,plain,
    ! [X0] :
      ( ~ in(sK2(X0),X0)
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X0),sK3(sK0,sK1))
      | ~ topological_space(sK0) ),
    inference(subsumption_resolution,[],[f341,f91]) ).

fof(f341,plain,
    ! [X0] :
      ( ~ in(sK2(X0),X0)
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X0),sK3(sK0,sK1))
      | ~ top_str(sK0)
      | ~ topological_space(sK0) ),
    inference(subsumption_resolution,[],[f338,f92]) ).

fof(f338,plain,
    ! [X0] :
      ( ~ in(sK2(X0),X0)
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X0),sK3(sK0,sK1))
      | ~ element(sK1,powerset(powerset(the_carrier(sK0))))
      | ~ top_str(sK0)
      | ~ topological_space(sK0) ),
    inference(resolution,[],[f95,f97]) ).

fof(f97,plain,
    ! [X3,X0,X1] :
      ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
      | ~ in(X3,sK3(X0,X1))
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ top_str(X0)
      | ~ topological_space(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f95,plain,
    ! [X2] :
      ( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
      | ~ in(sK2(X2),X2)
      | ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f433,plain,
    spl10_27,
    inference(avatar_contradiction_clause,[],[f432]) ).

fof(f432,plain,
    ( $false
    | spl10_27 ),
    inference(subsumption_resolution,[],[f430,f300]) ).

fof(f430,plain,
    ( ~ element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0))))
    | spl10_27 ),
    inference(resolution,[],[f427,f93]) ).

fof(f93,plain,
    ! [X2] :
      ( element(sK2(X2),powerset(the_carrier(sK0)))
      | ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f427,plain,
    ( ~ element(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0)))
    | spl10_27 ),
    inference(subsumption_resolution,[],[f425,f133]) ).

fof(f133,plain,
    ! [X0] : ~ empty(powerset(X0)),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] : ~ empty(powerset(X0)),
    file('/export/starexec/sandbox/tmp/tmp.dFdKiYkp3T/Vampire---4.8_23165',fc1_subset_1) ).

fof(f425,plain,
    ( ~ element(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0)))
    | empty(powerset(the_carrier(sK0)))
    | spl10_27 ),
    inference(resolution,[],[f401,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( in(X1,X0)
      | ~ element(X1,X0)
      | empty(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( ( ( element(X1,X0)
            | ~ empty(X1) )
          & ( empty(X1)
            | ~ element(X1,X0) ) )
        | ~ empty(X0) )
      & ( ( ( element(X1,X0)
            | ~ in(X1,X0) )
          & ( in(X1,X0)
            | ~ element(X1,X0) ) )
        | empty(X0) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( ( element(X1,X0)
        <=> empty(X1) )
        | ~ empty(X0) )
      & ( ( element(X1,X0)
        <=> in(X1,X0) )
        | empty(X0) ) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( ( empty(X0)
       => ( element(X1,X0)
        <=> empty(X1) ) )
      & ( ~ empty(X0)
       => ( element(X1,X0)
        <=> in(X1,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.dFdKiYkp3T/Vampire---4.8_23165',d2_subset_1) ).

fof(f401,plain,
    ( ~ in(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0)))
    | spl10_27 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f399,plain,
    ( spl10_27
  <=> in(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).

fof(f406,plain,
    ( ~ spl10_27
    | spl10_28 ),
    inference(avatar_split_clause,[],[f397,f403,f399]) ).

fof(f397,plain,
    ( in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1))
    | ~ in(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0))) ),
    inference(subsumption_resolution,[],[f388,f300]) ).

fof(f388,plain,
    ( in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1))
    | ~ element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0))))
    | ~ in(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0))) ),
    inference(factoring,[],[f282]) ).

fof(f282,plain,
    ! [X0] :
      ( in(sK2(X0),sK3(sK0,sK1))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X0),X0)
      | ~ in(sK2(X0),powerset(the_carrier(sK0))) ),
    inference(subsumption_resolution,[],[f281,f90]) ).

fof(f281,plain,
    ! [X0] :
      ( in(sK2(X0),X0)
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X0),sK3(sK0,sK1))
      | ~ in(sK2(X0),powerset(the_carrier(sK0)))
      | ~ topological_space(sK0) ),
    inference(subsumption_resolution,[],[f280,f91]) ).

fof(f280,plain,
    ! [X0] :
      ( in(sK2(X0),X0)
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X0),sK3(sK0,sK1))
      | ~ in(sK2(X0),powerset(the_carrier(sK0)))
      | ~ top_str(sK0)
      | ~ topological_space(sK0) ),
    inference(subsumption_resolution,[],[f276,f92]) ).

fof(f276,plain,
    ! [X0] :
      ( in(sK2(X0),X0)
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X0),sK3(sK0,sK1))
      | ~ in(sK2(X0),powerset(the_carrier(sK0)))
      | ~ element(sK1,powerset(powerset(the_carrier(sK0))))
      | ~ top_str(sK0)
      | ~ topological_space(sK0) ),
    inference(resolution,[],[f94,f98]) ).

fof(f98,plain,
    ! [X3,X0,X1] :
      ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
      | in(X3,sK3(X0,X1))
      | ~ in(X3,powerset(the_carrier(X0)))
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ top_str(X0)
      | ~ topological_space(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f94,plain,
    ! [X2] :
      ( in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
      | in(sK2(X2),X2)
      | ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
    inference(cnf_transformation,[],[f72]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 16:09:18 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.dFdKiYkp3T/Vampire---4.8_23165
% 0.64/0.81  % (23282)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 (2995ds/51Mi)
% 0.64/0.81  % (23283)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.81  % (23286)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.81  % (23281)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 (2995ds/34Mi)
% 0.64/0.81  % (23284)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.81  % (23285)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 (2995ds/34Mi)
% 0.64/0.81  % (23288)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 (2995ds/56Mi)
% 0.64/0.81  % (23287)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 (2995ds/83Mi)
% 0.64/0.82  % (23286)First to succeed.
% 0.64/0.82  % (23285)Also succeeded, but the first one will report.
% 0.64/0.82  % (23286)Refutation found. Thanks to Tanya!
% 0.64/0.82  % SZS status Theorem for Vampire---4
% 0.64/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.82  % (23286)------------------------------
% 0.64/0.82  % (23286)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (23286)Termination reason: Refutation
% 0.64/0.82  
% 0.64/0.82  % (23286)Memory used [KB]: 1191
% 0.64/0.82  % (23286)Time elapsed: 0.008 s
% 0.64/0.82  % (23286)Instructions burned: 12 (million)
% 0.64/0.82  % (23286)------------------------------
% 0.64/0.82  % (23286)------------------------------
% 0.64/0.82  % (23277)Success in time 0.475 s
% 0.64/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------