TSTP Solution File: SEU171+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU171+2 : 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 : 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 03:50:26 EDT 2024

% Result   : Theorem 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   93 (  15 unt;   0 def)
%            Number of atoms       :  353 (  50 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  428 ( 168   ~; 136   |;  88   &)
%                                         (  16 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :  154 ( 126   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1067,plain,
    $false,
    inference(avatar_sat_refutation,[],[f565,f602,f653,f660,f1066]) ).

fof(f1066,plain,
    ( ~ spl30_1
    | ~ spl30_5 ),
    inference(avatar_contradiction_clause,[],[f1065]) ).

fof(f1065,plain,
    ( $false
    | ~ spl30_1
    | ~ spl30_5 ),
    inference(subsumption_resolution,[],[f1050,f341]) ).

fof(f341,plain,
    empty_set != sK3,
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ( ~ in(sK5,subset_complement(sK3,sK4))
    & ~ in(sK5,sK4)
    & element(sK5,sK3)
    & element(sK4,powerset(sK3))
    & empty_set != sK3 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f153,f206,f205,f204]) ).

fof(f204,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ~ in(X2,subset_complement(X0,X1))
                & ~ in(X2,X1)
                & element(X2,X0) )
            & element(X1,powerset(X0)) )
        & empty_set != X0 )
   => ( ? [X1] :
          ( ? [X2] :
              ( ~ in(X2,subset_complement(sK3,X1))
              & ~ in(X2,X1)
              & element(X2,sK3) )
          & element(X1,powerset(sK3)) )
      & empty_set != sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f205,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ~ in(X2,subset_complement(sK3,X1))
            & ~ in(X2,X1)
            & element(X2,sK3) )
        & element(X1,powerset(sK3)) )
   => ( ? [X2] :
          ( ~ in(X2,subset_complement(sK3,sK4))
          & ~ in(X2,sK4)
          & element(X2,sK3) )
      & element(sK4,powerset(sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f206,plain,
    ( ? [X2] :
        ( ~ in(X2,subset_complement(sK3,sK4))
        & ~ in(X2,sK4)
        & element(X2,sK3) )
   => ( ~ in(sK5,subset_complement(sK3,sK4))
      & ~ in(sK5,sK4)
      & element(sK5,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f153,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ in(X2,subset_complement(X0,X1))
              & ~ in(X2,X1)
              & element(X2,X0) )
          & element(X1,powerset(X0)) )
      & empty_set != X0 ),
    inference(flattening,[],[f152]) ).

fof(f152,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ in(X2,subset_complement(X0,X1))
              & ~ in(X2,X1)
              & element(X2,X0) )
          & element(X1,powerset(X0)) )
      & empty_set != X0 ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0] :
        ( empty_set != X0
       => ! [X1] :
            ( element(X1,powerset(X0))
           => ! [X2] :
                ( element(X2,X0)
               => ( ~ in(X2,X1)
                 => in(X2,subset_complement(X0,X1)) ) ) ) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0] :
      ( empty_set != X0
     => ! [X1] :
          ( element(X1,powerset(X0))
         => ! [X2] :
              ( element(X2,X0)
             => ( ~ in(X2,X1)
               => in(X2,subset_complement(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',t50_subset_1) ).

fof(f1050,plain,
    ( empty_set = sK3
    | ~ spl30_1
    | ~ spl30_5 ),
    inference(resolution,[],[f1037,f365]) ).

fof(f365,plain,
    ! [X0] :
      ( in(sK7(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( ( empty_set = X0
        | in(sK7(X0),X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f215,f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ? [X1] : in(X1,X0)
     => in(sK7(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f215,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(rectify,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X1] : ~ in(X1,X0)
        | empty_set != X0 ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',d1_xboole_0) ).

fof(f1037,plain,
    ( ! [X0] : ~ in(X0,sK3)
    | ~ spl30_1
    | ~ spl30_5 ),
    inference(forward_demodulation,[],[f1036,f596]) ).

fof(f596,plain,
    ( sK3 = sK4
    | ~ spl30_5 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f594,plain,
    ( spl30_5
  <=> sK3 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_5])]) ).

fof(f1036,plain,
    ( ! [X0] : ~ in(X0,sK4)
    | ~ spl30_1 ),
    inference(subsumption_resolution,[],[f1022,f560]) ).

fof(f560,plain,
    ( empty(sK3)
    | ~ spl30_1 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f558,plain,
    ( spl30_1
  <=> empty(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).

fof(f1022,plain,
    ! [X0] :
      ( ~ in(X0,sK4)
      | ~ empty(sK3) ),
    inference(resolution,[],[f588,f453]) ).

fof(f453,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',t7_boole) ).

fof(f588,plain,
    ! [X0] :
      ( in(X0,sK3)
      | ~ in(X0,sK4) ),
    inference(resolution,[],[f583,f368]) ).

fof(f368,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK9(X0,X1),X1)
          & in(sK9(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f222,f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK9(X0,X1),X1)
        & in(sK9(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f221]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',d3_tarski) ).

fof(f583,plain,
    subset(sK4,sK3),
    inference(resolution,[],[f579,f534]) ).

fof(f534,plain,
    ! [X3,X0] :
      ( ~ in(X3,powerset(X0))
      | subset(X3,X0) ),
    inference(equality_resolution,[],[f406]) ).

fof(f406,plain,
    ! [X3,X0,X1] :
      ( subset(X3,X0)
      | ~ in(X3,X1)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f248]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ( ( ~ subset(sK15(X0,X1),X0)
            | ~ in(sK15(X0,X1),X1) )
          & ( subset(sK15(X0,X1),X0)
            | in(sK15(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f246,f247]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ subset(X2,X0)
            | ~ in(X2,X1) )
          & ( subset(X2,X0)
            | in(X2,X1) ) )
     => ( ( ~ subset(sK15(X0,X1),X0)
          | ~ in(sK15(X0,X1),X1) )
        & ( subset(sK15(X0,X1),X0)
          | in(sK15(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(rectify,[],[f245]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ~ subset(X2,X0) )
            & ( subset(X2,X0)
              | ~ in(X2,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( powerset(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',d1_zfmisc_1) ).

fof(f579,plain,
    in(sK4,powerset(sK3)),
    inference(subsumption_resolution,[],[f577,f405]) ).

fof(f405,plain,
    ! [X0] : ~ empty(powerset(X0)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0] : ~ empty(powerset(X0)),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',fc1_subset_1) ).

fof(f577,plain,
    ( in(sK4,powerset(sK3))
    | empty(powerset(sK3)) ),
    inference(resolution,[],[f342,f401]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | in(X1,X0)
      | empty(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,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,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( ( element(X1,X0)
        <=> empty(X1) )
        | ~ empty(X0) )
      & ( ( element(X1,X0)
        <=> in(X1,X0) )
        | empty(X0) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( empty(X0)
       => ( element(X1,X0)
        <=> empty(X1) ) )
      & ( ~ empty(X0)
       => ( element(X1,X0)
        <=> in(X1,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',d2_subset_1) ).

fof(f342,plain,
    element(sK4,powerset(sK3)),
    inference(cnf_transformation,[],[f207]) ).

fof(f660,plain,
    ( ~ spl30_1
    | spl30_6 ),
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f659,plain,
    ( $false
    | ~ spl30_1
    | spl30_6 ),
    inference(subsumption_resolution,[],[f658,f560]) ).

fof(f658,plain,
    ( ~ empty(sK3)
    | spl30_6 ),
    inference(resolution,[],[f574,f601]) ).

fof(f601,plain,
    ( ~ subset(sK3,sK4)
    | spl30_6 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f599,plain,
    ( spl30_6
  <=> subset(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_6])]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ empty(X0) ),
    inference(superposition,[],[f313,f454]) ).

fof(f454,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',t6_boole) ).

fof(f313,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,axiom,
    ! [X0] : subset(empty_set,X0),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',t2_xboole_1) ).

fof(f653,plain,
    ~ spl30_2,
    inference(avatar_split_clause,[],[f650,f562]) ).

fof(f562,plain,
    ( spl30_2
  <=> in(sK5,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).

fof(f650,plain,
    ~ in(sK5,sK3),
    inference(subsumption_resolution,[],[f649,f344]) ).

fof(f344,plain,
    ~ in(sK5,sK4),
    inference(cnf_transformation,[],[f207]) ).

fof(f649,plain,
    ( in(sK5,sK4)
    | ~ in(sK5,sK3) ),
    inference(resolution,[],[f612,f530]) ).

fof(f530,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_difference(X0,X1))
      | in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f392]) ).

fof(f392,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f237]) ).

fof(f237,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ( ( in(sK11(X0,X1,X2),X1)
            | ~ in(sK11(X0,X1,X2),X0)
            | ~ in(sK11(X0,X1,X2),X2) )
          & ( ( ~ in(sK11(X0,X1,X2),X1)
              & in(sK11(X0,X1,X2),X0) )
            | in(sK11(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f235,f236]) ).

fof(f236,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( ~ in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( in(sK11(X0,X1,X2),X1)
          | ~ in(sK11(X0,X1,X2),X0)
          | ~ in(sK11(X0,X1,X2),X2) )
        & ( ( ~ in(sK11(X0,X1,X2),X1)
            & in(sK11(X0,X1,X2),X0) )
          | in(sK11(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f235,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(rectify,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(flattening,[],[f233]) ).

fof(f233,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',d4_xboole_0) ).

fof(f612,plain,
    ~ in(sK5,set_difference(sK3,sK4)),
    inference(subsumption_resolution,[],[f611,f342]) ).

fof(f611,plain,
    ( ~ in(sK5,set_difference(sK3,sK4))
    | ~ element(sK4,powerset(sK3)) ),
    inference(superposition,[],[f345,f448]) ).

fof(f448,plain,
    ! [X0,X1] :
      ( set_difference(X0,X1) = subset_complement(X0,X1)
      | ~ element(X1,powerset(X0)) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( set_difference(X0,X1) = subset_complement(X0,X1)
      | ~ element(X1,powerset(X0)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => set_difference(X0,X1) = subset_complement(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',d5_subset_1) ).

fof(f345,plain,
    ~ in(sK5,subset_complement(sK3,sK4)),
    inference(cnf_transformation,[],[f207]) ).

fof(f602,plain,
    ( ~ spl30_6
    | spl30_5 ),
    inference(avatar_split_clause,[],[f587,f594,f599]) ).

fof(f587,plain,
    ( sK3 = sK4
    | ~ subset(sK3,sK4) ),
    inference(resolution,[],[f583,f387]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f231]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VIZ9uf6C0W/Vampire---4.8_338',d10_xboole_0) ).

fof(f565,plain,
    ( spl30_1
    | spl30_2 ),
    inference(avatar_split_clause,[],[f555,f562,f558]) ).

fof(f555,plain,
    ( in(sK5,sK3)
    | empty(sK3) ),
    inference(resolution,[],[f343,f401]) ).

fof(f343,plain,
    element(sK5,sK3),
    inference(cnf_transformation,[],[f207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SEU171+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.11  % 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
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.15/0.31  % WCLimit    : 300
% 0.15/0.31  % DateTime   : Tue Apr 30 16:24:25 EDT 2024
% 0.15/0.31  % CPUTime    : 
% 0.15/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.31  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.VIZ9uf6C0W/Vampire---4.8_338
% 0.63/0.81  % (459)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)
% 0.63/0.81  % (461)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)
% 0.63/0.81  % (458)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (456)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)
% 0.63/0.81  % (460)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)
% 0.63/0.81  % (457)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)
% 0.63/0.81  % (462)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)
% 0.63/0.81  % (463)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)
% 0.63/0.82  % (461)First to succeed.
% 0.63/0.82  % (459)Instruction limit reached!
% 0.63/0.82  % (459)------------------------------
% 0.63/0.82  % (459)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (459)Termination reason: Unknown
% 0.63/0.82  % (460)Instruction limit reached!
% 0.63/0.82  % (460)------------------------------
% 0.63/0.82  % (460)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (460)Termination reason: Unknown
% 0.63/0.82  % (460)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (460)Memory used [KB]: 1659
% 0.63/0.82  % (460)Time elapsed: 0.020 s
% 0.63/0.82  % (460)Instructions burned: 34 (million)
% 0.63/0.82  % (460)------------------------------
% 0.63/0.82  % (460)------------------------------
% 0.63/0.82  % (459)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (459)Memory used [KB]: 1572
% 0.63/0.82  % (459)Time elapsed: 0.020 s
% 0.63/0.82  % (459)Instructions burned: 33 (million)
% 0.63/0.82  % (459)------------------------------
% 0.63/0.82  % (459)------------------------------
% 0.63/0.82  % (456)Instruction limit reached!
% 0.63/0.82  % (456)------------------------------
% 0.63/0.82  % (456)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (456)Termination reason: Unknown
% 0.63/0.82  % (456)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (456)Memory used [KB]: 1470
% 0.63/0.82  % (456)Time elapsed: 0.021 s
% 0.63/0.82  % (456)Instructions burned: 35 (million)
% 0.63/0.82  % (456)------------------------------
% 0.63/0.82  % (456)------------------------------
% 0.63/0.82  % (461)Refutation found. Thanks to Tanya!
% 0.63/0.82  % SZS status Theorem for Vampire---4
% 0.63/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.83  % (461)------------------------------
% 0.63/0.83  % (461)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (461)Termination reason: Refutation
% 0.63/0.83  
% 0.63/0.83  % (461)Memory used [KB]: 1392
% 0.63/0.83  % (461)Time elapsed: 0.020 s
% 0.63/0.83  % (461)Instructions burned: 34 (million)
% 0.63/0.83  % (461)------------------------------
% 0.63/0.83  % (461)------------------------------
% 0.63/0.83  % (450)Success in time 0.503 s
% 0.63/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------