TSTP Solution File: SET654+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET654+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 : Tue May 21 03:20:25 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   97
% Syntax   : Number of formulae    :  321 (  41 unt;   0 def)
%            Number of atoms       : 1372 (  23 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 1807 ( 756   ~; 776   |; 124   &)
%                                         (  81 <=>;  70  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   72 (  70 usr;  64 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;   5 con; 0-2 aty)
%            Number of variables   :  503 ( 441   !;  62   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f526,plain,
    $false,
    inference(avatar_sat_refutation,[],[f145,f150,f155,f159,f163,f168,f172,f176,f180,f184,f188,f193,f200,f204,f208,f212,f219,f223,f227,f231,f235,f239,f248,f252,f256,f260,f264,f268,f272,f276,f280,f292,f313,f317,f335,f339,f343,f357,f365,f370,f372,f378,f387,f389,f395,f406,f419,f423,f428,f432,f442,f446,f456,f460,f466,f471,f475,f479,f492,f498,f502,f506,f510,f525]) ).

fof(f525,plain,
    ( ~ spl15_4
    | spl15_59 ),
    inference(avatar_contradiction_clause,[],[f524]) ).

fof(f524,plain,
    ( $false
    | ~ spl15_4
    | spl15_59 ),
    inference(resolution,[],[f491,f158]) ).

fof(f158,plain,
    ( ! [X0] : ilf_type(X0,set_type)
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl15_4
  <=> ! [X0] : ilf_type(X0,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f491,plain,
    ( ~ ilf_type(range_of(sK5),set_type)
    | spl15_59 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f489,plain,
    ( spl15_59
  <=> ilf_type(range_of(sK5),set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).

fof(f510,plain,
    ( spl15_63
    | ~ spl15_27
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f309,f278,f262,f508]) ).

fof(f508,plain,
    ( spl15_63
  <=> ! [X0,X1] :
        ( ~ member(X0,power_set(X1))
        | ~ ilf_type(power_set(X1),set_type)
        | empty(power_set(X1))
        | ~ ilf_type(X0,set_type)
        | ilf_type(X0,subset_type(X1))
        | ~ ilf_type(X1,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).

fof(f262,plain,
    ( spl15_27
  <=> ! [X0,X1] :
        ( ilf_type(X1,subset_type(X0))
        | ~ ilf_type(X1,member_type(power_set(X0)))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f278,plain,
    ( spl15_31
  <=> ! [X0,X1] :
        ( ilf_type(X0,member_type(X1))
        | ~ member(X0,X1)
        | ~ ilf_type(X1,set_type)
        | empty(X1)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

fof(f309,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,power_set(X1))
        | ~ ilf_type(power_set(X1),set_type)
        | empty(power_set(X1))
        | ~ ilf_type(X0,set_type)
        | ilf_type(X0,subset_type(X1))
        | ~ ilf_type(X1,set_type) )
    | ~ spl15_27
    | ~ spl15_31 ),
    inference(duplicate_literal_removal,[],[f306]) ).

fof(f306,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,power_set(X1))
        | ~ ilf_type(power_set(X1),set_type)
        | empty(power_set(X1))
        | ~ ilf_type(X0,set_type)
        | ilf_type(X0,subset_type(X1))
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X1,set_type) )
    | ~ spl15_27
    | ~ spl15_31 ),
    inference(resolution,[],[f279,f263]) ).

fof(f263,plain,
    ( ! [X0,X1] :
        ( ~ ilf_type(X1,member_type(power_set(X0)))
        | ilf_type(X1,subset_type(X0))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_27 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f279,plain,
    ( ! [X0,X1] :
        ( ilf_type(X0,member_type(X1))
        | ~ member(X0,X1)
        | ~ ilf_type(X1,set_type)
        | empty(X1)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_31 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f506,plain,
    ( spl15_62
    | ~ spl15_26
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f305,f274,f258,f504]) ).

fof(f504,plain,
    ( spl15_62
  <=> ! [X0,X1] :
        ( member(X0,power_set(X1))
        | ~ ilf_type(power_set(X1),set_type)
        | empty(power_set(X1))
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X0,subset_type(X1))
        | ~ ilf_type(X1,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).

fof(f258,plain,
    ( spl15_26
  <=> ! [X0,X1] :
        ( ilf_type(X1,member_type(power_set(X0)))
        | ~ ilf_type(X1,subset_type(X0))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f274,plain,
    ( spl15_30
  <=> ! [X0,X1] :
        ( member(X0,X1)
        | ~ ilf_type(X0,member_type(X1))
        | ~ ilf_type(X1,set_type)
        | empty(X1)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

fof(f305,plain,
    ( ! [X0,X1] :
        ( member(X0,power_set(X1))
        | ~ ilf_type(power_set(X1),set_type)
        | empty(power_set(X1))
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X0,subset_type(X1))
        | ~ ilf_type(X1,set_type) )
    | ~ spl15_26
    | ~ spl15_30 ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f302,plain,
    ( ! [X0,X1] :
        ( member(X0,power_set(X1))
        | ~ ilf_type(power_set(X1),set_type)
        | empty(power_set(X1))
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X0,subset_type(X1))
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X1,set_type) )
    | ~ spl15_26
    | ~ spl15_30 ),
    inference(resolution,[],[f275,f259]) ).

fof(f259,plain,
    ( ! [X0,X1] :
        ( ilf_type(X1,member_type(power_set(X0)))
        | ~ ilf_type(X1,subset_type(X0))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_26 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f275,plain,
    ( ! [X0,X1] :
        ( ~ ilf_type(X0,member_type(X1))
        | member(X0,X1)
        | ~ ilf_type(X1,set_type)
        | empty(X1)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_30 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f502,plain,
    ( spl15_61
    | ~ spl15_15
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f294,f262,f206,f500]) ).

fof(f500,plain,
    ( spl15_61
  <=> ! [X0] :
        ( ilf_type(sK14(power_set(X0)),subset_type(X0))
        | ~ ilf_type(sK14(power_set(X0)),set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(power_set(X0),set_type)
        | empty(power_set(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).

fof(f206,plain,
    ( spl15_15
  <=> ! [X0] :
        ( ilf_type(sK14(X0),member_type(X0))
        | ~ ilf_type(X0,set_type)
        | empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f294,plain,
    ( ! [X0] :
        ( ilf_type(sK14(power_set(X0)),subset_type(X0))
        | ~ ilf_type(sK14(power_set(X0)),set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(power_set(X0),set_type)
        | empty(power_set(X0)) )
    | ~ spl15_15
    | ~ spl15_27 ),
    inference(resolution,[],[f263,f207]) ).

fof(f207,plain,
    ( ! [X0] :
        ( ilf_type(sK14(X0),member_type(X0))
        | ~ ilf_type(X0,set_type)
        | empty(X0) )
    | ~ spl15_15 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f498,plain,
    ( spl15_60
    | ~ spl15_14
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f282,f246,f202,f496]) ).

fof(f496,plain,
    ( spl15_60
  <=> ! [X0] :
        ( sK9(X0) = ordered_pair(sK7(sK9(X0)),sK8(sK9(X0)))
        | ~ ilf_type(sK9(X0),set_type)
        | ~ sP0(X0)
        | empty(X0)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).

fof(f202,plain,
    ( spl15_14
  <=> ! [X0] :
        ( empty(X0)
        | member(sK9(X0),X0)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f246,plain,
    ( spl15_23
  <=> ! [X4,X0] :
        ( ordered_pair(sK7(X4),sK8(X4)) = X4
        | ~ member(X4,X0)
        | ~ ilf_type(X4,set_type)
        | ~ sP0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

fof(f282,plain,
    ( ! [X0] :
        ( sK9(X0) = ordered_pair(sK7(sK9(X0)),sK8(sK9(X0)))
        | ~ ilf_type(sK9(X0),set_type)
        | ~ sP0(X0)
        | empty(X0)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_14
    | ~ spl15_23 ),
    inference(resolution,[],[f247,f203]) ).

fof(f203,plain,
    ( ! [X0] :
        ( member(sK9(X0),X0)
        | empty(X0)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f247,plain,
    ( ! [X0,X4] :
        ( ~ member(X4,X0)
        | ordered_pair(sK7(X4),sK8(X4)) = X4
        | ~ ilf_type(X4,set_type)
        | ~ sP0(X0) )
    | ~ spl15_23 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f492,plain,
    ( spl15_47
    | ~ spl15_59
    | ~ spl15_42
    | ~ spl15_44 ),
    inference(avatar_split_clause,[],[f391,f385,f375,f489,f416]) ).

fof(f416,plain,
    ( spl15_47
  <=> subset(range_of(sK5),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).

fof(f375,plain,
    ( spl15_42
  <=> subset(range_of(sK5),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).

fof(f385,plain,
    ( spl15_44
  <=> ! [X0] :
        ( subset(X0,sK3)
        | ~ ilf_type(X0,set_type)
        | ~ subset(X0,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).

fof(f391,plain,
    ( ~ ilf_type(range_of(sK5),set_type)
    | subset(range_of(sK5),sK3)
    | ~ spl15_42
    | ~ spl15_44 ),
    inference(resolution,[],[f386,f377]) ).

fof(f377,plain,
    ( subset(range_of(sK5),sK2)
    | ~ spl15_42 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f386,plain,
    ( ! [X0] :
        ( ~ subset(X0,sK2)
        | ~ ilf_type(X0,set_type)
        | subset(X0,sK3) )
    | ~ spl15_44 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f479,plain,
    ( spl15_58
    | ~ spl15_14
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f350,f337,f202,f477]) ).

fof(f477,plain,
    ( spl15_58
  <=> ! [X0,X1] :
        ( member(sK9(X0),X1)
        | ~ ilf_type(sK9(X0),set_type)
        | ~ subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).

fof(f337,plain,
    ( spl15_38
  <=> ! [X0,X1,X3] :
        ( member(X3,X1)
        | ~ member(X3,X0)
        | ~ ilf_type(X3,set_type)
        | ~ subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).

fof(f350,plain,
    ( ! [X0,X1] :
        ( member(sK9(X0),X1)
        | ~ ilf_type(sK9(X0),set_type)
        | ~ subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | empty(X0) )
    | ~ spl15_14
    | ~ spl15_38 ),
    inference(duplicate_literal_removal,[],[f345]) ).

fof(f345,plain,
    ( ! [X0,X1] :
        ( member(sK9(X0),X1)
        | ~ ilf_type(sK9(X0),set_type)
        | ~ subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | empty(X0)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_14
    | ~ spl15_38 ),
    inference(resolution,[],[f338,f203]) ).

fof(f338,plain,
    ( ! [X3,X0,X1] :
        ( ~ member(X3,X0)
        | member(X3,X1)
        | ~ ilf_type(X3,set_type)
        | ~ subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_38 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f475,plain,
    ( spl15_57
    | ~ spl15_11
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f344,f337,f186,f473]) ).

fof(f473,plain,
    ( spl15_57
  <=> ! [X0,X1] :
        ( member(sK6(X0),X1)
        | ~ ilf_type(sK6(X0),set_type)
        | ~ subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | sP0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).

fof(f186,plain,
    ( spl15_11
  <=> ! [X0] :
        ( sP0(X0)
        | member(sK6(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f344,plain,
    ( ! [X0,X1] :
        ( member(sK6(X0),X1)
        | ~ ilf_type(sK6(X0),set_type)
        | ~ subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | sP0(X0) )
    | ~ spl15_11
    | ~ spl15_38 ),
    inference(resolution,[],[f338,f187]) ).

fof(f187,plain,
    ( ! [X0] :
        ( member(sK6(X0),X0)
        | sP0(X0) )
    | ~ spl15_11 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f471,plain,
    ( spl15_56
    | ~ spl15_13
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f318,f311,f198,f469]) ).

fof(f469,plain,
    ( spl15_56
  <=> ! [X0,X1] :
        ( ilf_type(sK13(cross_product(X0,X1)),relation_type(X0,X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(cross_product(X0,X1),set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).

fof(f198,plain,
    ( spl15_13
  <=> ! [X0] :
        ( ilf_type(sK13(X0),subset_type(X0))
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f311,plain,
    ( spl15_33
  <=> ! [X0,X1,X3] :
        ( ilf_type(X3,relation_type(X0,X1))
        | ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).

fof(f318,plain,
    ( ! [X0,X1] :
        ( ilf_type(sK13(cross_product(X0,X1)),relation_type(X0,X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(cross_product(X0,X1),set_type) )
    | ~ spl15_13
    | ~ spl15_33 ),
    inference(resolution,[],[f312,f199]) ).

fof(f199,plain,
    ( ! [X0] :
        ( ilf_type(sK13(X0),subset_type(X0))
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f312,plain,
    ( ! [X3,X0,X1] :
        ( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
        | ilf_type(X3,relation_type(X0,X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_33 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f466,plain,
    ( spl15_55
    | ~ spl15_16
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f286,f250,f210,f464]) ).

fof(f464,plain,
    ( spl15_55
  <=> ! [X0,X1] :
        ( member(X0,power_set(X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(sK11(X0,X1),set_type)
        | ~ empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).

fof(f210,plain,
    ( spl15_16
  <=> ! [X2,X0] :
        ( ~ member(X2,X0)
        | ~ ilf_type(X2,set_type)
        | ~ empty(X0)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f250,plain,
    ( spl15_24
  <=> ! [X0,X1] :
        ( member(X0,power_set(X1))
        | member(sK11(X0,X1),X0)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f286,plain,
    ( ! [X0,X1] :
        ( member(X0,power_set(X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(sK11(X0,X1),set_type)
        | ~ empty(X0) )
    | ~ spl15_16
    | ~ spl15_24 ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f285,plain,
    ( ! [X0,X1] :
        ( member(X0,power_set(X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(sK11(X0,X1),set_type)
        | ~ empty(X0)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_16
    | ~ spl15_24 ),
    inference(resolution,[],[f251,f211]) ).

fof(f211,plain,
    ( ! [X2,X0] :
        ( ~ member(X2,X0)
        | ~ ilf_type(X2,set_type)
        | ~ empty(X0)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_16 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f251,plain,
    ( ! [X0,X1] :
        ( member(sK11(X0,X1),X0)
        | member(X0,power_set(X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_24 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f460,plain,
    ( spl15_54
    | ~ spl15_13
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f244,f237,f198,f458]) ).

fof(f458,plain,
    ( spl15_54
  <=> ! [X0,X1] :
        ( relation_like(sK13(cross_product(X0,X1)))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(cross_product(X0,X1),set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).

fof(f237,plain,
    ( spl15_22
  <=> ! [X2,X0,X1] :
        ( relation_like(X2)
        | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f244,plain,
    ( ! [X0,X1] :
        ( relation_like(sK13(cross_product(X0,X1)))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(cross_product(X0,X1),set_type) )
    | ~ spl15_13
    | ~ spl15_22 ),
    inference(resolution,[],[f238,f199]) ).

fof(f238,plain,
    ( ! [X2,X0,X1] :
        ( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
        | relation_like(X2)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_22 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f456,plain,
    ( spl15_53
    | ~ spl15_16
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f241,f229,f210,f454]) ).

fof(f454,plain,
    ( spl15_53
  <=> ! [X0,X1] :
        ( subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(sK10(X0,X1),set_type)
        | ~ empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).

fof(f229,plain,
    ( spl15_20
  <=> ! [X0,X1] :
        ( subset(X0,X1)
        | member(sK10(X0,X1),X0)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

fof(f241,plain,
    ( ! [X0,X1] :
        ( subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(sK10(X0,X1),set_type)
        | ~ empty(X0) )
    | ~ spl15_16
    | ~ spl15_20 ),
    inference(duplicate_literal_removal,[],[f240]) ).

fof(f240,plain,
    ( ! [X0,X1] :
        ( subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(sK10(X0,X1),set_type)
        | ~ empty(X0)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_16
    | ~ spl15_20 ),
    inference(resolution,[],[f230,f211]) ).

fof(f230,plain,
    ( ! [X0,X1] :
        ( member(sK10(X0,X1),X0)
        | subset(X0,X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_20 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f446,plain,
    ( spl15_52
    | ~ spl15_22
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f321,f315,f237,f444]) ).

fof(f444,plain,
    ( spl15_52
  <=> ! [X2,X0,X1] :
        ( ~ ilf_type(X0,relation_type(X1,X2))
        | ~ ilf_type(X2,set_type)
        | ~ ilf_type(X1,set_type)
        | relation_like(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).

fof(f315,plain,
    ( spl15_34
  <=> ! [X2,X0,X1] :
        ( ilf_type(X2,subset_type(cross_product(X0,X1)))
        | ~ ilf_type(X2,relation_type(X0,X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

fof(f321,plain,
    ( ! [X2,X0,X1] :
        ( ~ ilf_type(X0,relation_type(X1,X2))
        | ~ ilf_type(X2,set_type)
        | ~ ilf_type(X1,set_type)
        | relation_like(X0) )
    | ~ spl15_22
    | ~ spl15_34 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f320,plain,
    ( ! [X2,X0,X1] :
        ( ~ ilf_type(X0,relation_type(X1,X2))
        | ~ ilf_type(X2,set_type)
        | ~ ilf_type(X1,set_type)
        | relation_like(X0)
        | ~ ilf_type(X2,set_type)
        | ~ ilf_type(X1,set_type) )
    | ~ spl15_22
    | ~ spl15_34 ),
    inference(resolution,[],[f316,f238]) ).

fof(f316,plain,
    ( ! [X2,X0,X1] :
        ( ilf_type(X2,subset_type(cross_product(X0,X1)))
        | ~ ilf_type(X2,relation_type(X0,X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_34 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f442,plain,
    ( spl15_51
    | ~ spl15_15
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f304,f274,f206,f440]) ).

fof(f440,plain,
    ( spl15_51
  <=> ! [X0] :
        ( member(sK14(X0),X0)
        | ~ ilf_type(X0,set_type)
        | empty(X0)
        | ~ ilf_type(sK14(X0),set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).

fof(f304,plain,
    ( ! [X0] :
        ( member(sK14(X0),X0)
        | ~ ilf_type(X0,set_type)
        | empty(X0)
        | ~ ilf_type(sK14(X0),set_type) )
    | ~ spl15_15
    | ~ spl15_30 ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f303,plain,
    ( ! [X0] :
        ( member(sK14(X0),X0)
        | ~ ilf_type(X0,set_type)
        | empty(X0)
        | ~ ilf_type(sK14(X0),set_type)
        | ~ ilf_type(X0,set_type)
        | empty(X0) )
    | ~ spl15_15
    | ~ spl15_30 ),
    inference(resolution,[],[f275,f207]) ).

fof(f432,plain,
    ( spl15_50
    | ~ spl15_17
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f301,f270,f217,f430]) ).

fof(f430,plain,
    ( spl15_50
  <=> ! [X0,X1] :
        ( subset(range_of(sK12(X0,X1)),X0)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X1,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).

fof(f217,plain,
    ( spl15_17
  <=> ! [X0,X1] :
        ( ilf_type(sK12(X0,X1),relation_type(X1,X0))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f270,plain,
    ( spl15_29
  <=> ! [X2,X0,X1] :
        ( subset(range_of(X2),X1)
        | ~ ilf_type(X2,relation_type(X0,X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).

fof(f301,plain,
    ( ! [X0,X1] :
        ( subset(range_of(sK12(X0,X1)),X0)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X1,set_type) )
    | ~ spl15_17
    | ~ spl15_29 ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f300,plain,
    ( ! [X0,X1] :
        ( subset(range_of(sK12(X0,X1)),X0)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_17
    | ~ spl15_29 ),
    inference(resolution,[],[f271,f218]) ).

fof(f218,plain,
    ( ! [X0,X1] :
        ( ilf_type(sK12(X0,X1),relation_type(X1,X0))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f271,plain,
    ( ! [X2,X0,X1] :
        ( ~ ilf_type(X2,relation_type(X0,X1))
        | subset(range_of(X2),X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_29 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f428,plain,
    ( spl15_49
    | ~ spl15_17
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f298,f266,f217,f426]) ).

fof(f426,plain,
    ( spl15_49
  <=> ! [X0,X1] :
        ( subset(domain_of(sK12(X0,X1)),X1)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X1,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).

fof(f266,plain,
    ( spl15_28
  <=> ! [X2,X0,X1] :
        ( subset(domain_of(X2),X0)
        | ~ ilf_type(X2,relation_type(X0,X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f298,plain,
    ( ! [X0,X1] :
        ( subset(domain_of(sK12(X0,X1)),X1)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X1,set_type) )
    | ~ spl15_17
    | ~ spl15_28 ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f297,plain,
    ( ! [X0,X1] :
        ( subset(domain_of(sK12(X0,X1)),X1)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_17
    | ~ spl15_28 ),
    inference(resolution,[],[f267,f218]) ).

fof(f267,plain,
    ( ! [X2,X0,X1] :
        ( ~ ilf_type(X2,relation_type(X0,X1))
        | subset(domain_of(X2),X0)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_28 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f423,plain,
    ( spl15_48
    | ~ spl15_11
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f213,f210,f186,f421]) ).

fof(f421,plain,
    ( spl15_48
  <=> ! [X0] :
        ( ~ ilf_type(sK6(X0),set_type)
        | ~ empty(X0)
        | ~ ilf_type(X0,set_type)
        | sP0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).

fof(f213,plain,
    ( ! [X0] :
        ( ~ ilf_type(sK6(X0),set_type)
        | ~ empty(X0)
        | ~ ilf_type(X0,set_type)
        | sP0(X0) )
    | ~ spl15_11
    | ~ spl15_16 ),
    inference(resolution,[],[f211,f187]) ).

fof(f419,plain,
    ( ~ spl15_47
    | ~ spl15_43
    | spl15_3
    | ~ spl15_45 ),
    inference(avatar_split_clause,[],[f396,f393,f152,f381,f416]) ).

fof(f381,plain,
    ( spl15_43
  <=> ilf_type(sK3,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).

fof(f152,plain,
    ( spl15_3
  <=> ilf_type(sK5,relation_type(sK4,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f393,plain,
    ( spl15_45
  <=> ! [X0] :
        ( ~ subset(range_of(sK5),X0)
        | ~ ilf_type(X0,set_type)
        | ilf_type(sK5,relation_type(sK4,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).

fof(f396,plain,
    ( ~ ilf_type(sK3,set_type)
    | ~ subset(range_of(sK5),sK3)
    | spl15_3
    | ~ spl15_45 ),
    inference(resolution,[],[f394,f154]) ).

fof(f154,plain,
    ( ~ ilf_type(sK5,relation_type(sK4,sK3))
    | spl15_3 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f394,plain,
    ( ! [X0] :
        ( ilf_type(sK5,relation_type(sK4,X0))
        | ~ ilf_type(X0,set_type)
        | ~ subset(range_of(sK5),X0) )
    | ~ spl15_45 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f406,plain,
    ( spl15_46
    | ~ spl15_24
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f288,f254,f250,f404]) ).

fof(f404,plain,
    ( spl15_46
  <=> ! [X0] :
        ( member(X0,power_set(X0))
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).

fof(f254,plain,
    ( spl15_25
  <=> ! [X0,X1] :
        ( member(X0,power_set(X1))
        | ~ member(sK11(X0,X1),X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

fof(f288,plain,
    ( ! [X0] :
        ( member(X0,power_set(X0))
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_24
    | ~ spl15_25 ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f287,plain,
    ( ! [X0] :
        ( member(X0,power_set(X0))
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X0,set_type)
        | member(X0,power_set(X0))
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_24
    | ~ spl15_25 ),
    inference(resolution,[],[f255,f251]) ).

fof(f255,plain,
    ( ! [X0,X1] :
        ( ~ member(sK11(X0,X1),X1)
        | member(X0,power_set(X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_25 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f395,plain,
    ( ~ spl15_36
    | ~ spl15_35
    | spl15_45
    | ~ spl15_2
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f366,f363,f147,f393,f324,f328]) ).

fof(f328,plain,
    ( spl15_36
  <=> ilf_type(sK2,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

fof(f324,plain,
    ( spl15_35
  <=> ilf_type(sK4,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

fof(f147,plain,
    ( spl15_2
  <=> ilf_type(sK5,relation_type(sK4,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f363,plain,
    ( spl15_41
  <=> ! [X0,X3,X2,X1] :
        ( ilf_type(X3,relation_type(X2,X1))
        | ~ subset(range_of(X3),X1)
        | ~ ilf_type(X3,relation_type(X2,X0))
        | ~ ilf_type(X2,set_type)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).

fof(f366,plain,
    ( ! [X0] :
        ( ~ subset(range_of(sK5),X0)
        | ilf_type(sK5,relation_type(sK4,X0))
        | ~ ilf_type(sK4,set_type)
        | ~ ilf_type(X0,set_type)
        | ~ ilf_type(sK2,set_type) )
    | ~ spl15_2
    | ~ spl15_41 ),
    inference(resolution,[],[f364,f149]) ).

fof(f149,plain,
    ( ilf_type(sK5,relation_type(sK4,sK2))
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f364,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ilf_type(X3,relation_type(X2,X0))
        | ~ subset(range_of(X3),X1)
        | ilf_type(X3,relation_type(X2,X1))
        | ~ ilf_type(X2,set_type)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_41 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f389,plain,
    ( ~ spl15_4
    | spl15_43 ),
    inference(avatar_contradiction_clause,[],[f388]) ).

fof(f388,plain,
    ( $false
    | ~ spl15_4
    | spl15_43 ),
    inference(resolution,[],[f383,f158]) ).

fof(f383,plain,
    ( ~ ilf_type(sK3,set_type)
    | spl15_43 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f387,plain,
    ( ~ spl15_36
    | ~ spl15_43
    | spl15_44
    | ~ spl15_1
    | ~ spl15_39 ),
    inference(avatar_split_clause,[],[f351,f341,f142,f385,f381,f328]) ).

fof(f142,plain,
    ( spl15_1
  <=> subset(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f341,plain,
    ( spl15_39
  <=> ! [X2,X0,X1] :
        ( subset(X0,X2)
        | ~ subset(X1,X2)
        | ~ subset(X0,X1)
        | ~ ilf_type(X2,set_type)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).

fof(f351,plain,
    ( ! [X0] :
        ( subset(X0,sK3)
        | ~ subset(X0,sK2)
        | ~ ilf_type(sK3,set_type)
        | ~ ilf_type(sK2,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_1
    | ~ spl15_39 ),
    inference(resolution,[],[f342,f144]) ).

fof(f144,plain,
    ( subset(sK2,sK3)
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f342,plain,
    ( ! [X2,X0,X1] :
        ( ~ subset(X1,X2)
        | subset(X0,X2)
        | ~ subset(X0,X1)
        | ~ ilf_type(X2,set_type)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) )
    | ~ spl15_39 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f378,plain,
    ( ~ spl15_35
    | ~ spl15_36
    | spl15_42
    | ~ spl15_2
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f299,f270,f147,f375,f328,f324]) ).

fof(f299,plain,
    ( subset(range_of(sK5),sK2)
    | ~ ilf_type(sK2,set_type)
    | ~ ilf_type(sK4,set_type)
    | ~ spl15_2
    | ~ spl15_29 ),
    inference(resolution,[],[f271,f149]) ).

fof(f372,plain,
    ( ~ spl15_4
    | spl15_36 ),
    inference(avatar_contradiction_clause,[],[f371]) ).

fof(f371,plain,
    ( $false
    | ~ spl15_4
    | spl15_36 ),
    inference(resolution,[],[f330,f158]) ).

fof(f330,plain,
    ( ~ ilf_type(sK2,set_type)
    | spl15_36 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f370,plain,
    ( ~ spl15_4
    | spl15_35 ),
    inference(avatar_contradiction_clause,[],[f369]) ).

fof(f369,plain,
    ( $false
    | ~ spl15_4
    | spl15_35 ),
    inference(resolution,[],[f326,f158]) ).

fof(f326,plain,
    ( ~ ilf_type(sK4,set_type)
    | spl15_35 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f365,plain,
    spl15_41,
    inference(avatar_split_clause,[],[f131,f363]) ).

fof(f131,plain,
    ! [X2,X3,X0,X1] :
      ( ilf_type(X3,relation_type(X2,X1))
      | ~ subset(range_of(X3),X1)
      | ~ ilf_type(X3,relation_type(X2,X0))
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X1))
                  | ~ subset(range_of(X3),X1)
                  | ~ ilf_type(X3,relation_type(X2,X0)) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X1))
                  | ~ subset(range_of(X3),X1)
                  | ~ ilf_type(X3,relation_type(X2,X0)) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X0))
                 => ( subset(range_of(X3),X1)
                   => ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

fof(f357,plain,
    spl15_40,
    inference(avatar_split_clause,[],[f124,f355]) ).

fof(f355,plain,
    ( spl15_40
  <=> ! [X0,X1,X3] :
        ( member(X3,X1)
        | ~ member(X3,X0)
        | ~ ilf_type(X3,set_type)
        | ~ member(X0,power_set(X1))
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).

fof(f124,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ ilf_type(X3,set_type)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ( ~ member(sK11(X0,X1),X1)
                & member(sK11(X0,X1),X0)
                & ilf_type(sK11(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f81,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0)
          & ilf_type(X2,set_type) )
     => ( ~ member(sK11(X0,X1),X1)
        & member(sK11(X0,X1),X0)
        & ilf_type(sK11(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).

fof(f343,plain,
    spl15_39,
    inference(avatar_split_clause,[],[f130,f341]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( subset(X0,X2)
              | ~ subset(X1,X2)
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( subset(X0,X2)
              | ~ subset(X1,X2)
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ( ( subset(X1,X2)
                  & subset(X0,X1) )
               => subset(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(f339,plain,
    spl15_38,
    inference(avatar_split_clause,[],[f120,f337]) ).

fof(f120,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ ilf_type(X3,set_type)
      | ~ subset(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ( ~ member(sK10(X0,X1),X1)
                & member(sK10(X0,X1),X0)
                & ilf_type(sK10(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f77,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0)
          & ilf_type(X2,set_type) )
     => ( ~ member(sK10(X0,X1),X1)
        & member(sK10(X0,X1),X0)
        & ilf_type(sK10(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(X0,X1)
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).

fof(f335,plain,
    ( ~ spl15_35
    | ~ spl15_36
    | spl15_37
    | ~ spl15_2
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f296,f266,f147,f332,f328,f324]) ).

fof(f332,plain,
    ( spl15_37
  <=> subset(domain_of(sK5),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).

fof(f296,plain,
    ( subset(domain_of(sK5),sK4)
    | ~ ilf_type(sK2,set_type)
    | ~ ilf_type(sK4,set_type)
    | ~ spl15_2
    | ~ spl15_28 ),
    inference(resolution,[],[f267,f149]) ).

fof(f317,plain,
    spl15_34,
    inference(avatar_split_clause,[],[f119,f315]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
                | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).

fof(f313,plain,
    spl15_33,
    inference(avatar_split_clause,[],[f118,f311]) ).

fof(f118,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f292,plain,
    ( spl15_32
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f194,f191,f157,f290]) ).

fof(f290,plain,
    ( spl15_32
  <=> ! [X0] :
        ( relation_like(X0)
        | ~ empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f191,plain,
    ( spl15_12
  <=> ! [X0] :
        ( relation_like(X0)
        | ~ ilf_type(X0,set_type)
        | ~ empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f194,plain,
    ( ! [X0] :
        ( relation_like(X0)
        | ~ empty(X0) )
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(resolution,[],[f192,f158]) ).

fof(f192,plain,
    ( ! [X0] :
        ( ~ ilf_type(X0,set_type)
        | relation_like(X0)
        | ~ empty(X0) )
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f280,plain,
    spl15_31,
    inference(avatar_split_clause,[],[f137,f278]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).

fof(f276,plain,
    spl15_30,
    inference(avatar_split_clause,[],[f136,f274]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ ilf_type(X0,member_type(X1))
      | ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f272,plain,
    spl15_29,
    inference(avatar_split_clause,[],[f133,f270]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( subset(range_of(X2),X1)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) )
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(f268,plain,
    spl15_28,
    inference(avatar_split_clause,[],[f132,f266]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( subset(domain_of(X2),X0)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f264,plain,
    spl15_27,
    inference(avatar_split_clause,[],[f129,f262]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) )
            & ( ilf_type(X1,member_type(power_set(X0)))
              | ~ ilf_type(X1,subset_type(X0)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).

fof(f260,plain,
    spl15_26,
    inference(avatar_split_clause,[],[f128,f258]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f256,plain,
    spl15_25,
    inference(avatar_split_clause,[],[f127,f254]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | ~ member(sK11(X0,X1),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f252,plain,
    spl15_24,
    inference(avatar_split_clause,[],[f126,f250]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | member(sK11(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f248,plain,
    spl15_23,
    inference(avatar_split_clause,[],[f108,f246]) ).

fof(f108,plain,
    ! [X0,X4] :
      ( ordered_pair(sK7(X4),sK8(X4)) = X4
      | ~ member(X4,X0)
      | ~ ilf_type(X4,set_type)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( ! [X2] :
              ( ! [X3] :
                  ( ordered_pair(X2,X3) != sK6(X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          & member(sK6(X0),X0)
          & ilf_type(sK6(X0),set_type) ) )
      & ( ! [X4] :
            ( ( ordered_pair(sK7(X4),sK8(X4)) = X4
              & ilf_type(sK8(X4),set_type)
              & ilf_type(sK7(X4),set_type) )
            | ~ member(X4,X0)
            | ~ ilf_type(X4,set_type) )
        | ~ sP0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f67,f70,f69,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ordered_pair(X2,X3) != X1
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          & member(X1,X0)
          & ilf_type(X1,set_type) )
     => ( ! [X2] :
            ( ! [X3] :
                ( ordered_pair(X2,X3) != sK6(X0)
                | ~ ilf_type(X3,set_type) )
            | ~ ilf_type(X2,set_type) )
        & member(sK6(X0),X0)
        & ilf_type(sK6(X0),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X4] :
      ( ? [X5] :
          ( ? [X6] :
              ( ordered_pair(X5,X6) = X4
              & ilf_type(X6,set_type) )
          & ilf_type(X5,set_type) )
     => ( ? [X6] :
            ( ordered_pair(sK7(X4),X6) = X4
            & ilf_type(X6,set_type) )
        & ilf_type(sK7(X4),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ! [X4] :
      ( ? [X6] :
          ( ordered_pair(sK7(X4),X6) = X4
          & ilf_type(X6,set_type) )
     => ( ordered_pair(sK7(X4),sK8(X4)) = X4
        & ilf_type(sK8(X4),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ordered_pair(X2,X3) != X1
                    | ~ ilf_type(X3,set_type) )
                | ~ ilf_type(X2,set_type) )
            & member(X1,X0)
            & ilf_type(X1,set_type) ) )
      & ( ! [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ordered_pair(X5,X6) = X4
                    & ilf_type(X6,set_type) )
                & ilf_type(X5,set_type) )
            | ~ member(X4,X0)
            | ~ ilf_type(X4,set_type) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ordered_pair(X2,X3) != X1
                    | ~ ilf_type(X3,set_type) )
                | ~ ilf_type(X2,set_type) )
            & member(X1,X0)
            & ilf_type(X1,set_type) ) )
      & ( ! [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ordered_pair(X2,X3) = X1
                    & ilf_type(X3,set_type) )
                & ilf_type(X2,set_type) )
            | ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( sP0(X0)
    <=> ! [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ordered_pair(X2,X3) = X1
                  & ilf_type(X3,set_type) )
              & ilf_type(X2,set_type) )
          | ~ member(X1,X0)
          | ~ ilf_type(X1,set_type) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f239,plain,
    spl15_22,
    inference(avatar_split_clause,[],[f134,f237]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( relation_like(X2)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( relation_like(X2)
              | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,subset_type(cross_product(X0,X1)))
             => relation_like(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).

fof(f235,plain,
    spl15_21,
    inference(avatar_split_clause,[],[f123,f233]) ).

fof(f233,plain,
    ( spl15_21
  <=> ! [X0,X1] :
        ( subset(X0,X1)
        | ~ member(sK10(X0,X1),X1)
        | ~ ilf_type(X1,set_type)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK10(X0,X1),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f231,plain,
    spl15_20,
    inference(avatar_split_clause,[],[f122,f229]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK10(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f227,plain,
    spl15_19,
    inference(avatar_split_clause,[],[f111,f225]) ).

fof(f225,plain,
    ( spl15_19
  <=> ! [X2,X0,X3] :
        ( sP0(X0)
        | ordered_pair(X2,X3) != sK6(X0)
        | ~ ilf_type(X3,set_type)
        | ~ ilf_type(X2,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f111,plain,
    ! [X2,X3,X0] :
      ( sP0(X0)
      | ordered_pair(X2,X3) != sK6(X0)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X2,set_type) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f223,plain,
    ( spl15_18
    | ~ spl15_4
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f189,f166,f157,f221]) ).

fof(f221,plain,
    ( spl15_18
  <=> ! [X0] : subset(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f166,plain,
    ( spl15_6
  <=> ! [X0] :
        ( subset(X0,X0)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f189,plain,
    ( ! [X0] : subset(X0,X0)
    | ~ spl15_4
    | ~ spl15_6 ),
    inference(resolution,[],[f167,f158]) ).

fof(f167,plain,
    ( ! [X0] :
        ( ~ ilf_type(X0,set_type)
        | subset(X0,X0) )
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f219,plain,
    spl15_17,
    inference(avatar_split_clause,[],[f135,f217]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ilf_type(sK12(X0,X1),relation_type(X1,X0))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ! [X1] :
          ( ilf_type(sK12(X0,X1),relation_type(X1,X0))
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f49,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ? [X2] : ilf_type(X2,relation_type(X1,X0))
     => ilf_type(sK12(X0,X1),relation_type(X1,X0)) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : ilf_type(X2,relation_type(X1,X0))
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ? [X2] : ilf_type(X2,relation_type(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).

fof(f212,plain,
    spl15_16,
    inference(avatar_split_clause,[],[f113,f210]) ).

fof(f113,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ ilf_type(X2,set_type)
      | ~ empty(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ( member(sK9(X0),X0)
            & ilf_type(sK9(X0),set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f73,f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ? [X1] :
          ( member(X1,X0)
          & ilf_type(X1,set_type) )
     => ( member(sK9(X0),X0)
        & ilf_type(sK9(X0),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X1] :
              ( ~ member(X1,X0)
              | ~ ilf_type(X1,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).

fof(f208,plain,
    spl15_15,
    inference(avatar_split_clause,[],[f139,f206]) ).

fof(f139,plain,
    ! [X0] :
      ( ilf_type(sK14(X0),member_type(X0))
      | ~ ilf_type(X0,set_type)
      | empty(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ilf_type(sK14(X0),member_type(X0))
      | ~ ilf_type(X0,set_type)
      | empty(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f54,f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ? [X1] : ilf_type(X1,member_type(X0))
     => ilf_type(sK14(X0),member_type(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ! [X0] :
      ( ? [X1] : ilf_type(X1,member_type(X0))
      | ~ ilf_type(X0,set_type)
      | empty(X0) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ? [X1] : ilf_type(X1,member_type(X0))
      | ~ ilf_type(X0,set_type)
      | empty(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ( ilf_type(X0,set_type)
        & ~ empty(X0) )
     => ? [X1] : ilf_type(X1,member_type(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).

fof(f204,plain,
    spl15_14,
    inference(avatar_split_clause,[],[f115,f202]) ).

fof(f115,plain,
    ! [X0] :
      ( empty(X0)
      | member(sK9(X0),X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f200,plain,
    spl15_13,
    inference(avatar_split_clause,[],[f138,f198]) ).

fof(f138,plain,
    ! [X0] :
      ( ilf_type(sK13(X0),subset_type(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ilf_type(sK13(X0),subset_type(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f52,f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ? [X1] : ilf_type(X1,subset_type(X0))
     => ilf_type(sK13(X0),subset_type(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X0] :
      ( ? [X1] : ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ? [X1] : ilf_type(X1,subset_type(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).

fof(f193,plain,
    spl15_12,
    inference(avatar_split_clause,[],[f140,f191]) ).

fof(f140,plain,
    ! [X0] :
      ( relation_like(X0)
      | ~ ilf_type(X0,set_type)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( relation_like(X0)
      | ~ ilf_type(X0,set_type)
      | ~ empty(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( relation_like(X0)
      | ~ ilf_type(X0,set_type)
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ( ilf_type(X0,set_type)
        & empty(X0) )
     => relation_like(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).

fof(f188,plain,
    spl15_11,
    inference(avatar_split_clause,[],[f110,f186]) ).

fof(f110,plain,
    ! [X0] :
      ( sP0(X0)
      | member(sK6(X0),X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f184,plain,
    spl15_10,
    inference(avatar_split_clause,[],[f105,f182]) ).

fof(f182,plain,
    ( spl15_10
  <=> ! [X0] :
        ( relation_like(X0)
        | ~ sP0(X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f105,plain,
    ! [X0] :
      ( relation_like(X0)
      | ~ sP0(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ( ( relation_like(X0)
          | ~ sP0(X0) )
        & ( sP0(X0)
          | ~ relation_like(X0) ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ( relation_like(X0)
      <=> sP0(X0) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f180,plain,
    spl15_9,
    inference(avatar_split_clause,[],[f104,f178]) ).

fof(f178,plain,
    ( spl15_9
  <=> ! [X0] :
        ( sP0(X0)
        | ~ relation_like(X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f104,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ relation_like(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f176,plain,
    ( spl15_8
    | ~ spl15_4
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f164,f161,f157,f174]) ).

fof(f174,plain,
    ( spl15_8
  <=> ! [X0] : sP1(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f161,plain,
    ( spl15_5
  <=> ! [X0] :
        ( sP1(X0)
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f164,plain,
    ( ! [X0] : sP1(X0)
    | ~ spl15_4
    | ~ spl15_5 ),
    inference(resolution,[],[f162,f158]) ).

fof(f162,plain,
    ( ! [X0] :
        ( ~ ilf_type(X0,set_type)
        | sP1(X0) )
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f172,plain,
    spl15_7,
    inference(avatar_split_clause,[],[f102,f170]) ).

fof(f170,plain,
    ( spl15_7
  <=> ! [X0] :
        ( ~ empty(power_set(X0))
        | ~ ilf_type(X0,set_type) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ empty(power_set(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).

fof(f168,plain,
    spl15_6,
    inference(avatar_split_clause,[],[f101,f166]) ).

fof(f101,plain,
    ! [X0] :
      ( subset(X0,X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( subset(X0,X0)
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => subset(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).

fof(f163,plain,
    spl15_5,
    inference(avatar_split_clause,[],[f112,f161]) ).

fof(f112,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(definition_folding,[],[f33,f58,f57]) ).

fof(f33,plain,
    ! [X0] :
      ( ( relation_like(X0)
      <=> ! [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ordered_pair(X2,X3) = X1
                    & ilf_type(X3,set_type) )
                & ilf_type(X2,set_type) )
            | ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ( relation_like(X0)
      <=> ! [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ordered_pair(X2,X3) = X1
                    & ilf_type(X3,set_type) )
                & ilf_type(X2,set_type) )
            | ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( relation_like(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ( member(X1,X0)
             => ? [X2] :
                  ( ? [X3] :
                      ( ordered_pair(X2,X3) = X1
                      & ilf_type(X3,set_type) )
                  & ilf_type(X2,set_type) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).

fof(f159,plain,
    spl15_4,
    inference(avatar_split_clause,[],[f98,f157]) ).

fof(f98,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).

fof(f155,plain,
    ~ spl15_3,
    inference(avatar_split_clause,[],[f97,f152]) ).

fof(f97,plain,
    ~ ilf_type(sK5,relation_type(sK4,sK3)),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ~ ilf_type(sK5,relation_type(sK4,sK3))
    & subset(sK2,sK3)
    & ilf_type(sK5,relation_type(sK4,sK2))
    & ilf_type(sK4,set_type)
    & ilf_type(sK3,set_type)
    & ilf_type(sK2,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f27,f63,f62,f61,f60]) ).

fof(f60,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ~ ilf_type(X3,relation_type(X2,X1))
                    & subset(X0,X1)
                    & ilf_type(X3,relation_type(X2,X0)) )
                & ilf_type(X2,set_type) )
            & ilf_type(X1,set_type) )
        & ilf_type(X0,set_type) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(sK2,X1)
                  & ilf_type(X3,relation_type(X2,sK2)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(sK2,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ~ ilf_type(X3,relation_type(X2,X1))
                & subset(sK2,X1)
                & ilf_type(X3,relation_type(X2,sK2)) )
            & ilf_type(X2,set_type) )
        & ilf_type(X1,set_type) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ~ ilf_type(X3,relation_type(X2,sK3))
              & subset(sK2,sK3)
              & ilf_type(X3,relation_type(X2,sK2)) )
          & ilf_type(X2,set_type) )
      & ilf_type(sK3,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ~ ilf_type(X3,relation_type(X2,sK3))
            & subset(sK2,sK3)
            & ilf_type(X3,relation_type(X2,sK2)) )
        & ilf_type(X2,set_type) )
   => ( ? [X3] :
          ( ~ ilf_type(X3,relation_type(sK4,sK3))
          & subset(sK2,sK3)
          & ilf_type(X3,relation_type(sK4,sK2)) )
      & ilf_type(sK4,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ( ? [X3] :
        ( ~ ilf_type(X3,relation_type(sK4,sK3))
        & subset(sK2,sK3)
        & ilf_type(X3,relation_type(sK4,sK2)) )
   => ( ~ ilf_type(sK5,relation_type(sK4,sK3))
      & subset(sK2,sK3)
      & ilf_type(sK5,relation_type(sK4,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(X0,X1)
                  & ilf_type(X3,relation_type(X2,X0)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(X0,X1)
                  & ilf_type(X3,relation_type(X2,X0)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,set_type)
               => ! [X3] :
                    ( ilf_type(X3,relation_type(X2,X0))
                   => ( subset(X0,X1)
                     => ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X0))
                 => ( subset(X0,X1)
                   => ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_16) ).

fof(f150,plain,
    spl15_2,
    inference(avatar_split_clause,[],[f95,f147]) ).

fof(f95,plain,
    ilf_type(sK5,relation_type(sK4,sK2)),
    inference(cnf_transformation,[],[f64]) ).

fof(f145,plain,
    spl15_1,
    inference(avatar_split_clause,[],[f96,f142]) ).

fof(f96,plain,
    subset(sK2,sK3),
    inference(cnf_transformation,[],[f64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SET654+3 : TPTP v8.2.0. Released v2.2.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 11:05:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (1636)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (1639)WARNING: value z3 for option sas not known
% 0.13/0.36  % (1643)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36  % (1637)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (1639)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (1638)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36  % (1641)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36  % (1640)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  % (1642)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  % (1641)First to succeed.
% 0.13/0.37  % (1642)Also succeeded, but the first one will report.
% 0.13/0.37  TRYING [3]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  % (1641)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1636"
% 0.13/0.38  TRYING [2]
% 0.13/0.38  % (1641)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Theorem for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (1641)------------------------------
% 0.13/0.38  % (1641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38  % (1641)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (1641)Memory used [KB]: 1025
% 0.13/0.38  % (1641)Time elapsed: 0.015 s
% 0.13/0.38  % (1641)Instructions burned: 25 (million)
% 0.13/0.38  % (1636)Success in time 0.02 s
%------------------------------------------------------------------------------