TSTP Solution File: SEU292+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU292+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:21:58 EDT 2024

% Result   : Theorem 0.70s 0.92s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   92 (  13 unt;   0 def)
%            Number of atoms       :  311 (  64 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  348 ( 129   ~; 122   |;  63   &)
%                                         (  13 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   7 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :  130 ( 113   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f506,plain,
    $false,
    inference(avatar_sat_refutation,[],[f389,f390,f397,f454,f490,f501,f505]) ).

fof(f505,plain,
    spl20_13,
    inference(avatar_contradiction_clause,[],[f504]) ).

fof(f504,plain,
    ( $false
    | spl20_13 ),
    inference(subsumption_resolution,[],[f503,f137]) ).

fof(f137,plain,
    in(sK2,sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( apply(relation_composition(sK3,sK4),sK2) != apply(sK4,apply(sK3,sK2))
    & empty_set != sK1
    & in(sK2,sK0)
    & function(sK4)
    & relation(sK4)
    & relation_of2_as_subset(sK3,sK0,sK1)
    & quasi_total(sK3,sK0,sK1)
    & function(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f62,f98,f97]) ).

fof(f97,plain,
    ( ? [X0,X1,X2,X3] :
        ( ? [X4] :
            ( apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
            & empty_set != X1
            & in(X2,X0)
            & function(X4)
            & relation(X4) )
        & relation_of2_as_subset(X3,X0,X1)
        & quasi_total(X3,X0,X1)
        & function(X3) )
   => ( ? [X4] :
          ( apply(relation_composition(sK3,X4),sK2) != apply(X4,apply(sK3,sK2))
          & empty_set != sK1
          & in(sK2,sK0)
          & function(X4)
          & relation(X4) )
      & relation_of2_as_subset(sK3,sK0,sK1)
      & quasi_total(sK3,sK0,sK1)
      & function(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ( ? [X4] :
        ( apply(relation_composition(sK3,X4),sK2) != apply(X4,apply(sK3,sK2))
        & empty_set != sK1
        & in(sK2,sK0)
        & function(X4)
        & relation(X4) )
   => ( apply(relation_composition(sK3,sK4),sK2) != apply(sK4,apply(sK3,sK2))
      & empty_set != sK1
      & in(sK2,sK0)
      & function(sK4)
      & relation(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
          & empty_set != X1
          & in(X2,X0)
          & function(X4)
          & relation(X4) )
      & relation_of2_as_subset(X3,X0,X1)
      & quasi_total(X3,X0,X1)
      & function(X3) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
          & empty_set != X1
          & in(X2,X0)
          & function(X4)
          & relation(X4) )
      & relation_of2_as_subset(X3,X0,X1)
      & quasi_total(X3,X0,X1)
      & function(X3) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( relation_of2_as_subset(X3,X0,X1)
          & quasi_total(X3,X0,X1)
          & function(X3) )
       => ! [X4] :
            ( ( function(X4)
              & relation(X4) )
           => ( in(X2,X0)
             => ( apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
                | empty_set = X1 ) ) ) ),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( relation_of2_as_subset(X3,X0,X1)
        & quasi_total(X3,X0,X1)
        & function(X3) )
     => ! [X4] :
          ( ( function(X4)
            & relation(X4) )
         => ( in(X2,X0)
           => ( apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
              | empty_set = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',t21_funct_2) ).

fof(f503,plain,
    ( ~ in(sK2,sK0)
    | spl20_13 ),
    inference(resolution,[],[f500,f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => element(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',t1_subset) ).

fof(f500,plain,
    ( ~ element(sK2,sK0)
    | spl20_13 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl20_13
  <=> element(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).

fof(f501,plain,
    ( ~ spl20_6
    | ~ spl20_13
    | ~ spl20_4
    | spl20_9 ),
    inference(avatar_split_clause,[],[f496,f419,f381,f498,f407]) ).

fof(f407,plain,
    ( spl20_6
  <=> relation(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f381,plain,
    ( spl20_4
  <=> sK0 = relation_dom(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f419,plain,
    ( spl20_9
  <=> empty(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f496,plain,
    ( ~ element(sK2,sK0)
    | ~ relation(sK3)
    | ~ spl20_4
    | spl20_9 ),
    inference(forward_demodulation,[],[f495,f383]) ).

fof(f383,plain,
    ( sK0 = relation_dom(sK3)
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f495,plain,
    ( ~ relation(sK3)
    | ~ element(sK2,relation_dom(sK3))
    | ~ spl20_4
    | spl20_9 ),
    inference(subsumption_resolution,[],[f494,f421]) ).

fof(f421,plain,
    ( ~ empty(sK0)
    | spl20_9 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f494,plain,
    ( empty(sK0)
    | ~ relation(sK3)
    | ~ element(sK2,relation_dom(sK3))
    | ~ spl20_4 ),
    inference(forward_demodulation,[],[f493,f383]) ).

fof(f493,plain,
    ( ~ relation(sK3)
    | empty(relation_dom(sK3))
    | ~ element(sK2,relation_dom(sK3)) ),
    inference(subsumption_resolution,[],[f492,f132]) ).

fof(f132,plain,
    function(sK3),
    inference(cnf_transformation,[],[f99]) ).

fof(f492,plain,
    ( ~ function(sK3)
    | ~ relation(sK3)
    | empty(relation_dom(sK3))
    | ~ element(sK2,relation_dom(sK3)) ),
    inference(subsumption_resolution,[],[f491,f135]) ).

fof(f135,plain,
    relation(sK4),
    inference(cnf_transformation,[],[f99]) ).

fof(f491,plain,
    ( ~ relation(sK4)
    | ~ function(sK3)
    | ~ relation(sK3)
    | empty(relation_dom(sK3))
    | ~ element(sK2,relation_dom(sK3)) ),
    inference(subsumption_resolution,[],[f471,f136]) ).

fof(f136,plain,
    function(sK4),
    inference(cnf_transformation,[],[f99]) ).

fof(f471,plain,
    ( ~ function(sK4)
    | ~ relation(sK4)
    | ~ function(sK3)
    | ~ relation(sK3)
    | empty(relation_dom(sK3))
    | ~ element(sK2,relation_dom(sK3)) ),
    inference(trivial_inequality_removal,[],[f470]) ).

fof(f470,plain,
    ( apply(sK4,apply(sK3,sK2)) != apply(sK4,apply(sK3,sK2))
    | ~ function(sK4)
    | ~ relation(sK4)
    | ~ function(sK3)
    | ~ relation(sK3)
    | empty(relation_dom(sK3))
    | ~ element(sK2,relation_dom(sK3)) ),
    inference(superposition,[],[f139,f398]) ).

fof(f398,plain,
    ! [X2,X0,X1] :
      ( apply(relation_composition(X0,X1),X2) = apply(X1,apply(X0,X2))
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0)
      | empty(relation_dom(X0))
      | ~ element(X2,relation_dom(X0)) ),
    inference(resolution,[],[f142,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',t2_subset) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(X1))
      | apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
          | ~ in(X0,relation_dom(X1))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
          | ~ in(X0,relation_dom(X1))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(X1))
           => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',t23_funct_1) ).

fof(f139,plain,
    apply(relation_composition(sK3,sK4),sK2) != apply(sK4,apply(sK3,sK2)),
    inference(cnf_transformation,[],[f99]) ).

fof(f490,plain,
    spl20_6,
    inference(avatar_contradiction_clause,[],[f488]) ).

fof(f488,plain,
    ( $false
    | spl20_6 ),
    inference(resolution,[],[f479,f134]) ).

fof(f134,plain,
    relation_of2_as_subset(sK3,sK0,sK1),
    inference(cnf_transformation,[],[f99]) ).

fof(f479,plain,
    ( ! [X0,X1] : ~ relation_of2_as_subset(sK3,X0,X1)
    | spl20_6 ),
    inference(resolution,[],[f430,f182]) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',dt_m2_relset_1) ).

fof(f430,plain,
    ( ! [X0,X1] : ~ element(sK3,powerset(cartesian_product2(X0,X1)))
    | spl20_6 ),
    inference(resolution,[],[f409,f207]) ).

fof(f207,plain,
    ! [X2,X0,X1] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',cc1_relset_1) ).

fof(f409,plain,
    ( ~ relation(sK3)
    | spl20_6 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f454,plain,
    ( ~ spl20_9
    | ~ spl20_5 ),
    inference(avatar_split_clause,[],[f450,f386,f419]) ).

fof(f386,plain,
    ( spl20_5
  <=> element(sK0,powerset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f450,plain,
    ( ~ empty(sK0)
    | ~ spl20_5 ),
    inference(resolution,[],[f388,f322]) ).

fof(f322,plain,
    ! [X0] :
      ( ~ element(sK0,powerset(X0))
      | ~ empty(X0) ),
    inference(resolution,[],[f151,f137]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ element(X1,powerset(X2))
      | ~ empty(X2) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',t5_subset) ).

fof(f388,plain,
    ( element(sK0,powerset(sK0))
    | ~ spl20_5 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f397,plain,
    spl20_3,
    inference(avatar_contradiction_clause,[],[f396]) ).

fof(f396,plain,
    ( $false
    | spl20_3 ),
    inference(subsumption_resolution,[],[f395,f134]) ).

fof(f395,plain,
    ( ~ relation_of2_as_subset(sK3,sK0,sK1)
    | spl20_3 ),
    inference(resolution,[],[f379,f179]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2_as_subset(X2,X0,X1)
        | ~ relation_of2(X2,X0,X1) )
      & ( relation_of2(X2,X0,X1)
        | ~ relation_of2_as_subset(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',redefinition_m2_relset_1) ).

fof(f379,plain,
    ( ~ relation_of2(sK3,sK0,sK1)
    | spl20_3 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl20_3
  <=> relation_of2(sK3,sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f390,plain,
    ( ~ spl20_3
    | spl20_4 ),
    inference(avatar_split_clause,[],[f375,f381,f377]) ).

fof(f375,plain,
    ( sK0 = relation_dom(sK3)
    | ~ relation_of2(sK3,sK0,sK1) ),
    inference(superposition,[],[f143,f372]) ).

fof(f372,plain,
    sK0 = relation_dom_as_subset(sK0,sK1,sK3),
    inference(subsumption_resolution,[],[f371,f134]) ).

fof(f371,plain,
    ( sK0 = relation_dom_as_subset(sK0,sK1,sK3)
    | ~ relation_of2_as_subset(sK3,sK0,sK1) ),
    inference(subsumption_resolution,[],[f367,f138]) ).

fof(f138,plain,
    empty_set != sK1,
    inference(cnf_transformation,[],[f99]) ).

fof(f367,plain,
    ( sK0 = relation_dom_as_subset(sK0,sK1,sK3)
    | empty_set = sK1
    | ~ relation_of2_as_subset(sK3,sK0,sK1) ),
    inference(resolution,[],[f144,f133]) ).

fof(f133,plain,
    quasi_total(sK3,sK0,sK1),
    inference(cnf_transformation,[],[f99]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ quasi_total(X2,X0,X1)
      | relation_dom_as_subset(X0,X1,X2) = X0
      | empty_set = X1
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ( ( ( ( quasi_total(X2,X0,X1)
              | empty_set != X2 )
            & ( empty_set = X2
              | ~ quasi_total(X2,X0,X1) ) )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( ( quasi_total(X2,X0,X1)
              | relation_dom_as_subset(X0,X1,X2) != X0 )
            & ( relation_dom_as_subset(X0,X1,X2) = X0
              | ~ quasi_total(X2,X0,X1) ) )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ( ( ( quasi_total(X2,X0,X1)
          <=> empty_set = X2 )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ( ( ( quasi_total(X2,X0,X1)
          <=> empty_set = X2 )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( ( empty_set = X1
         => ( ( quasi_total(X2,X0,X1)
            <=> empty_set = X2 )
            | empty_set = X0 ) )
        & ( ( empty_set = X1
           => empty_set = X0 )
         => ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',d1_funct_2) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',redefinition_k4_relset_1) ).

fof(f389,plain,
    ( ~ spl20_3
    | spl20_5 ),
    inference(avatar_split_clause,[],[f374,f386,f377]) ).

fof(f374,plain,
    ( element(sK0,powerset(sK0))
    | ~ relation_of2(sK3,sK0,sK1) ),
    inference(superposition,[],[f192,f372]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( element(relation_dom_as_subset(X0,X1,X2),powerset(X0))
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( element(relation_dom_as_subset(X0,X1,X2),powerset(X0))
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => element(relation_dom_as_subset(X0,X1,X2),powerset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.eKjhlCLs3q/Vampire---4.8_20298',dt_k4_relset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU292+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.15  % 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
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 11:30:26 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.eKjhlCLs3q/Vampire---4.8_20298
% 0.70/0.91  % (20545)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.70/0.91  % (20543)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 (2994ds/51Mi)
% 0.70/0.91  % (20542)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 (2994ds/34Mi)
% 0.70/0.91  % (20544)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.70/0.91  % (20546)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 (2994ds/34Mi)
% 0.70/0.91  % (20547)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.70/0.91  % (20548)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 (2994ds/83Mi)
% 0.70/0.91  % (20549)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 (2994ds/56Mi)
% 0.70/0.91  % (20547)Refutation not found, incomplete strategy% (20547)------------------------------
% 0.70/0.91  % (20547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (20547)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  
% 0.70/0.91  % (20547)Memory used [KB]: 1128
% 0.70/0.91  % (20547)Time elapsed: 0.004 s
% 0.70/0.91  % (20547)Instructions burned: 5 (million)
% 0.70/0.91  % (20549)Refutation not found, incomplete strategy% (20549)------------------------------
% 0.70/0.91  % (20549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (20549)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  
% 0.70/0.91  % (20549)Memory used [KB]: 1087
% 0.70/0.91  % (20549)Time elapsed: 0.004 s
% 0.70/0.91  % (20549)Instructions burned: 5 (million)
% 0.70/0.91  % (20547)------------------------------
% 0.70/0.91  % (20547)------------------------------
% 0.70/0.91  % (20546)Refutation not found, incomplete strategy% (20546)------------------------------
% 0.70/0.91  % (20546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (20546)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  % (20549)------------------------------
% 0.70/0.91  % (20549)------------------------------
% 0.70/0.91  
% 0.70/0.91  % (20546)Memory used [KB]: 1144
% 0.70/0.91  % (20546)Time elapsed: 0.004 s
% 0.70/0.91  % (20546)Instructions burned: 6 (million)
% 0.70/0.91  % (20546)------------------------------
% 0.70/0.91  % (20546)------------------------------
% 0.70/0.92  % (20542)Refutation not found, incomplete strategy% (20542)------------------------------
% 0.70/0.92  % (20542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (20542)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  
% 0.70/0.92  % (20542)Memory used [KB]: 1116
% 0.70/0.92  % (20542)Time elapsed: 0.007 s
% 0.70/0.92  % (20542)Instructions burned: 11 (million)
% 0.70/0.92  % (20542)------------------------------
% 0.70/0.92  % (20542)------------------------------
% 0.70/0.92  % (20550)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 (2994ds/55Mi)
% 0.70/0.92  % (20551)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 (2994ds/50Mi)
% 0.70/0.92  % (20552)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 (2994ds/208Mi)
% 0.70/0.92  % (20553)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 (2994ds/52Mi)
% 0.70/0.92  % (20544)First to succeed.
% 0.70/0.92  % (20544)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20517"
% 0.70/0.92  % (20544)Refutation found. Thanks to Tanya!
% 0.70/0.92  % SZS status Theorem for Vampire---4
% 0.70/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.92  % (20544)------------------------------
% 0.70/0.92  % (20544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (20544)Termination reason: Refutation
% 0.70/0.92  
% 0.70/0.92  % (20544)Memory used [KB]: 1193
% 0.70/0.92  % (20544)Time elapsed: 0.013 s
% 0.70/0.92  % (20544)Instructions burned: 20 (million)
% 0.70/0.92  % (20517)Success in time 0.552 s
% 0.70/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------