TSTP Solution File: SEU265+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU265+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 : Sat Sep 2 00:12:03 EDT 2023
% Result : Theorem 0.23s 0.57s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 131
% Syntax : Number of formulae : 1057 ( 88 unt; 0 def)
% Number of atoms : 3271 ( 565 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 3831 (1617 ~;2036 |; 49 &)
% ( 100 <=>; 27 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 100 ( 98 usr; 92 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 1644 (;1590 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1887,plain,
$false,
inference(avatar_smt_refutation,[],[f130,f135,f140,f145,f152,f162,f186,f203,f204,f222,f234,f240,f248,f253,f264,f362,f368,f380,f390,f400,f411,f421,f435,f445,f457,f462,f490,f497,f503,f509,f518,f533,f553,f563,f576,f583,f587,f607,f613,f618,f620,f627,f634,f671,f681,f689,f696,f744,f824,f836,f867,f876,f886,f913,f923,f934,f980,f1086,f1123,f1140,f1193,f1200,f1207,f1232,f1249,f1256,f1308,f1535,f1547,f1552,f1556,f1560,f1561,f1565,f1584,f1589,f1594,f1655,f1660,f1717,f1726,f1738,f1742,f1745,f1750,f1756,f1770,f1774,f1784,f1839,f1844,f1850,f1855,f1860,f1870,f1871,f1881,f1886]) ).
fof(f1886,plain,
( ~ spl14_6
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f1885]) ).
fof(f1885,plain,
( $false
| ~ spl14_6
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f1884,f157]) ).
fof(f157,plain,
( in(sK3,sK1)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl14_6
<=> in(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f1884,plain,
( ~ in(sK3,sK1)
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17 ),
inference(forward_demodulation,[],[f1883,f366]) ).
fof(f366,plain,
( sK1 = relation_dom(sK2)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl14_17
<=> sK1 = relation_dom(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f1883,plain,
( ~ in(sK3,relation_dom(sK2))
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f1882,f263]) ).
fof(f263,plain,
( relation(sK2)
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl14_15
<=> relation(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f1882,plain,
( ~ in(sK3,relation_dom(sK2))
| ~ relation(sK2)
| ~ spl14_16
| ~ spl14_17 ),
inference(resolution,[],[f1845,f672]) ).
fof(f672,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK7(X1,X0)),X1)
| ~ in(X0,relation_dom(X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X5] :
( relation_dom(X0) != X1
| ~ in(X5,X1)
| in(ordered_pair(X5,sK7(X0,X5)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK5(X0,X1),X3),X0)
| ~ in(sK5(X0,X1),X1) )
& ( in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
| in(sK5(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK7(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f68,f71,f70,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK5(X0,X1),X3),X0)
| ~ in(sK5(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK5(X0,X1),X4),X0)
| in(sK5(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK5(X0,X1),X4),X0)
=> in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK7(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',d4_relat_1) ).
fof(f1845,plain,
( ! [X4] : ~ in(ordered_pair(sK3,X4),sK2)
| ~ spl14_16
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f568,f366]) ).
fof(f568,plain,
( ! [X4] :
( sK1 != relation_dom(sK2)
| ~ in(ordered_pair(sK3,X4),sK2) )
| ~ spl14_16 ),
inference(forward_demodulation,[],[f91,f361]) ).
fof(f361,plain,
( relation_dom_as_subset(sK1,sK0,sK2) = relation_dom(sK2)
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl14_16
<=> relation_dom_as_subset(sK1,sK0,sK2) = relation_dom(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f91,plain,
! [X4] :
( sK1 != relation_dom_as_subset(sK1,sK0,sK2)
| ~ in(ordered_pair(sK3,X4),sK2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( sK1 != relation_dom_as_subset(sK1,sK0,sK2)
| ( ! [X4] : ~ in(ordered_pair(sK3,X4),sK2)
& in(sK3,sK1) ) )
& ( sK1 = relation_dom_as_subset(sK1,sK0,sK2)
| ! [X5] :
( in(ordered_pair(X5,sK4(X5)),sK2)
| ~ in(X5,sK1) ) )
& relation_of2_as_subset(sK2,sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f62,f65,f64,f63]) ).
fof(f63,plain,
( ? [X0,X1,X2] :
( ( relation_dom_as_subset(X1,X0,X2) != X1
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X3,X4),X2)
& in(X3,X1) ) )
& ( relation_dom_as_subset(X1,X0,X2) = X1
| ! [X5] :
( ? [X6] : in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1) ) )
& relation_of2_as_subset(X2,X1,X0) )
=> ( ( sK1 != relation_dom_as_subset(sK1,sK0,sK2)
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X3,X4),sK2)
& in(X3,sK1) ) )
& ( sK1 = relation_dom_as_subset(sK1,sK0,sK2)
| ! [X5] :
( ? [X6] : in(ordered_pair(X5,X6),sK2)
| ~ in(X5,sK1) ) )
& relation_of2_as_subset(sK2,sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X3] :
( ! [X4] : ~ in(ordered_pair(X3,X4),sK2)
& in(X3,sK1) )
=> ( ! [X4] : ~ in(ordered_pair(sK3,X4),sK2)
& in(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X5] :
( ? [X6] : in(ordered_pair(X5,X6),sK2)
=> in(ordered_pair(X5,sK4(X5)),sK2) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0,X1,X2] :
( ( relation_dom_as_subset(X1,X0,X2) != X1
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X3,X4),X2)
& in(X3,X1) ) )
& ( relation_dom_as_subset(X1,X0,X2) = X1
| ! [X5] :
( ? [X6] : in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1) ) )
& relation_of2_as_subset(X2,X1,X0) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ( relation_dom_as_subset(X1,X0,X2) != X1
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X3,X4),X2)
& in(X3,X1) ) )
& ( relation_dom_as_subset(X1,X0,X2) = X1
| ! [X3] :
( ? [X4] : in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1) ) )
& relation_of2_as_subset(X2,X1,X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ( relation_dom_as_subset(X1,X0,X2) != X1
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X3,X4),X2)
& in(X3,X1) ) )
& ( relation_dom_as_subset(X1,X0,X2) = X1
| ! [X3] :
( ? [X4] : in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1) ) )
& relation_of2_as_subset(X2,X1,X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] : in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1) )
<~> relation_dom_as_subset(X1,X0,X2) = X1 )
& relation_of2_as_subset(X2,X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0,X1,X2] :
( relation_of2_as_subset(X2,X1,X0)
=> ( ! [X3] :
~ ( ! [X4] : ~ in(ordered_pair(X3,X4),X2)
& in(X3,X1) )
<=> relation_dom_as_subset(X1,X0,X2) = X1 ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X1,X0)
=> ( ! [X3] :
~ ( ! [X4] : ~ in(ordered_pair(X3,X4),X2)
& in(X3,X1) )
<=> relation_dom_as_subset(X1,X0,X2) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t22_relset_1) ).
fof(f1881,plain,
( ~ spl14_91
| ~ spl14_17
| spl14_41 ),
inference(avatar_split_clause,[],[f1798,f674,f365,f1878]) ).
fof(f1878,plain,
( spl14_91
<=> empty(sK8(powerset(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_91])]) ).
fof(f674,plain,
( spl14_41
<=> empty(sK8(powerset(relation_dom(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f1798,plain,
( ~ empty(sK8(powerset(sK1)))
| ~ spl14_17
| spl14_41 ),
inference(superposition,[],[f675,f366]) ).
fof(f675,plain,
( ~ empty(sK8(powerset(relation_dom(sK2))))
| spl14_41 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f1871,plain,
( spl14_90
| spl14_23
| ~ spl14_89 ),
inference(avatar_split_clause,[],[f1865,f1857,f408,f1867]) ).
fof(f1867,plain,
( spl14_90
<=> in(sK1,powerset(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_90])]) ).
fof(f408,plain,
( spl14_23
<=> empty(powerset(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f1857,plain,
( spl14_89
<=> element(sK1,powerset(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_89])]) ).
fof(f1865,plain,
( in(sK1,powerset(sK1))
| spl14_23
| ~ spl14_89 ),
inference(subsumption_resolution,[],[f1864,f409]) ).
fof(f409,plain,
( ~ empty(powerset(sK1))
| spl14_23 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f1864,plain,
( empty(powerset(sK1))
| in(sK1,powerset(sK1))
| ~ spl14_89 ),
inference(resolution,[],[f1859,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t2_subset) ).
fof(f1859,plain,
( element(sK1,powerset(sK1))
| ~ spl14_89 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f1870,plain,
( spl14_90
| ~ spl14_17
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f1788,f404,f365,f1867]) ).
fof(f404,plain,
( spl14_22
<=> in(relation_dom(sK2),powerset(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f1788,plain,
( in(sK1,powerset(sK1))
| ~ spl14_17
| ~ spl14_22 ),
inference(superposition,[],[f406,f366]) ).
fof(f406,plain,
( in(relation_dom(sK2),powerset(sK1))
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f1860,plain,
( spl14_89
| ~ spl14_17
| ~ spl14_18 ),
inference(avatar_split_clause,[],[f1785,f377,f365,f1857]) ).
fof(f377,plain,
( spl14_18
<=> element(relation_dom(sK2),powerset(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f1785,plain,
( element(sK1,powerset(sK1))
| ~ spl14_17
| ~ spl14_18 ),
inference(superposition,[],[f379,f366]) ).
fof(f379,plain,
( element(relation_dom(sK2),powerset(sK1))
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f1855,plain,
( ~ spl14_88
| ~ spl14_17
| spl14_52 ),
inference(avatar_split_clause,[],[f1809,f873,f365,f1852]) ).
fof(f1852,plain,
( spl14_88
<=> in(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_88])]) ).
fof(f873,plain,
( spl14_52
<=> in(relation_dom(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
fof(f1809,plain,
( ~ in(sK1,sK2)
| ~ spl14_17
| spl14_52 ),
inference(superposition,[],[f875,f366]) ).
fof(f875,plain,
( ~ in(relation_dom(sK2),sK2)
| spl14_52 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f1850,plain,
( ~ spl14_87
| ~ spl14_17
| spl14_30 ),
inference(avatar_split_clause,[],[f1791,f487,f365,f1847]) ).
fof(f1847,plain,
( spl14_87
<=> in(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_87])]) ).
fof(f487,plain,
( spl14_30
<=> in(relation_dom(sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f1791,plain,
( ~ in(sK1,sK1)
| ~ spl14_17
| spl14_30 ),
inference(superposition,[],[f489,f366]) ).
fof(f489,plain,
( ~ in(relation_dom(sK2),sK1)
| spl14_30 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f1844,plain,
( ~ spl14_6
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17
| ~ spl14_18
| spl14_82
| spl14_84 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1843,plain,
( $false
| ~ spl14_6
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17
| ~ spl14_18
| spl14_82
| spl14_84 ),
inference(subsumption_resolution,[],[f1842,f157]) ).
fof(f1842,plain,
( ~ in(sK3,sK1)
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17
| ~ spl14_18
| spl14_82
| spl14_84 ),
inference(forward_demodulation,[],[f1841,f366]) ).
fof(f1841,plain,
( ~ in(sK3,relation_dom(sK2))
| ~ spl14_15
| ~ spl14_16
| ~ spl14_18
| spl14_82
| spl14_84 ),
inference(subsumption_resolution,[],[f1840,f263]) ).
fof(f1840,plain,
( ~ in(sK3,relation_dom(sK2))
| ~ relation(sK2)
| ~ spl14_15
| ~ spl14_16
| ~ spl14_18
| spl14_82
| spl14_84 ),
inference(resolution,[],[f1777,f672]) ).
fof(f1777,plain,
( ! [X4] : ~ in(ordered_pair(sK3,X4),sK2)
| ~ spl14_15
| ~ spl14_16
| ~ spl14_18
| spl14_82
| spl14_84 ),
inference(global_subsumption,[],[f91,f89,f92,f124,f125,f99,f88,f98,f100,f97,f111,f103,f104,f112,f113,f90,f101,f108,f163,f109,f110,f164,f105,f169,f172,f119,f175,f176,f178,f121,f122,f181,f177,f123,f189,f192,f194,f102,f212,f215,f216,f217,f118,f249,f263,f258,f259,f265,f120,f190,f268,f191,f251,f280,f269,f283,f193,f285,f197,f289,f171,f211,f301,f302,f304,f305,f306,f307,f214,f308,f309,f310,f311,f312,f313,f314,f114,f315,f271,f275,f319,f320,f321,f322,f297,f326,f303,f329,f330,f331,f332,f333,f334,f335,f115,f336,f325,f339,f340,f341,f342,f343,f344,f347,f348,f349,f350,f337,f116,f361,f117,f379,f384,f383,f382,f385,f106,f465,f466,f467,f468,f469,f470,f471,f474,f475,f476,f477,f478,f479,f480,f401,f107,f514,f94,f642,f93,f402,f371,f697,f698,f699,f464,f704,f705,f706,f707,f709,f708,f96,f719,f473,f725,f726,f727,f728,f730,f729,f702,f723,f95,f751,f752,f753,f754,f756,f757,f250,f355,f764,f765,f769,f770,f772,f766,f768,f774,f778,f779,f780,f775,f781,f782,f784,f785,f786,f789,f270,f800,f767,f802,f803,f804,f805,f806,f807,f808,f776,f810,f811,f812,f813,f814,f815,f370,f850,f851,f852,f853,f854,f855,f856,f369,f887,f888,f889,f890,f891,f892,f893,f372,f799,f936,f773,f777,f944,f946,f947,f948,f941,f783,f952,f954,f955,f956,f463,f788,f963,f965,f966,f967,f357,f989,f992,f993,f994,f990,f995,f996,f998,f999,f991,f472,f988,f1000,f1004,f1005,f1006,f1001,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1007,f1016,f1017,f1020,f1021,f987,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f672,f1062,f1061,f1059,f1044,f1046,f1047,f1048,f1049,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1045,f1091,f1092,f1095,f1096,f1097,f1098,f1093,f1106,f1107,f1109,f1110,f1111,f1112,f1113,f1114,f750,f1142,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1158,f1105,f1160,f1161,f1162,f1164,f1165,f1166,f373,f1239,f1002,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1094,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f213,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1143,f1310,f1311,f1312,f1314,f1315,f1316,f1317,f1318,f1244,f1003,f1328,f1329,f1330,f1332,f1333,f1334,f1335,f1336,f252,f1343,f1346,f1350,f1351,f1352,f1353,f1354,f1108,f1355,f1356,f1357,f1359,f1360,f1361,f1362,f1363,f1325,f1010,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1019,f1380,f1381,f1382,f1384,f1385,f1386,f1387,f1388,f759,f1431,f1432,f1433,f1434,f1405,f1406,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1424,f1430,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1495,f1496,f1497,f1498,f1499,f1500,f1502,f1503,f760,f1508,f1509,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1527,f749,f761,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1643,f1619,f1620,f1644,f1621,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1748,f1721,f564,f1768,f1766,f1764,f1757,f1776,f568]) ).
fof(f1776,plain,
( sK1 = relation_dom(sK2)
| ~ spl14_15
| ~ spl14_18
| spl14_82
| spl14_84 ),
inference(global_subsumption,[],[f91,f89,f92,f124,f125,f99,f88,f98,f100,f97,f111,f103,f104,f112,f113,f90,f101,f108,f163,f109,f110,f164,f105,f169,f172,f119,f175,f176,f178,f121,f122,f181,f177,f123,f189,f192,f194,f102,f212,f215,f216,f217,f118,f249,f263,f258,f259,f265,f120,f190,f268,f191,f251,f280,f269,f283,f193,f285,f197,f289,f171,f211,f301,f302,f304,f305,f306,f307,f214,f308,f309,f310,f311,f312,f313,f314,f114,f315,f271,f275,f319,f320,f321,f322,f297,f326,f303,f329,f330,f331,f332,f333,f334,f335,f115,f336,f325,f339,f340,f341,f342,f343,f344,f347,f348,f349,f350,f337,f116,f117,f379,f384,f383,f382,f385,f106,f465,f466,f467,f468,f469,f470,f471,f474,f475,f476,f477,f478,f479,f480,f401,f107,f514,f94,f642,f93,f402,f371,f697,f698,f699,f464,f704,f705,f706,f707,f709,f708,f96,f719,f473,f725,f726,f727,f728,f730,f729,f702,f723,f95,f751,f752,f753,f754,f756,f757,f250,f355,f764,f765,f769,f770,f772,f766,f768,f774,f778,f779,f780,f775,f781,f782,f784,f785,f786,f789,f270,f800,f767,f802,f803,f804,f805,f806,f807,f808,f776,f810,f811,f812,f813,f814,f815,f370,f850,f851,f852,f853,f854,f855,f856,f369,f887,f888,f889,f890,f891,f892,f893,f372,f799,f936,f773,f777,f944,f946,f947,f948,f941,f783,f952,f954,f955,f956,f463,f788,f963,f965,f966,f967,f357,f989,f992,f993,f994,f990,f995,f996,f998,f999,f991,f472,f988,f1000,f1004,f1005,f1006,f1001,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1007,f1016,f1017,f1020,f1021,f987,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f672,f1062,f1061,f1059,f1044,f1046,f1047,f1048,f1049,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1045,f1091,f1092,f1095,f1096,f1097,f1098,f1093,f1106,f1107,f1109,f1110,f1111,f1112,f1113,f1114,f750,f1142,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1158,f1105,f1160,f1161,f1162,f1164,f1165,f1166,f373,f1239,f1002,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1094,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f213,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1143,f1310,f1311,f1312,f1314,f1315,f1316,f1317,f1318,f1244,f1003,f1328,f1329,f1330,f1332,f1333,f1334,f1335,f1336,f252,f1343,f1346,f1350,f1351,f1352,f1353,f1354,f1108,f1355,f1356,f1357,f1359,f1360,f1361,f1362,f1363,f1325,f1010,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1019,f1380,f1381,f1382,f1384,f1385,f1386,f1387,f1388,f759,f1431,f1432,f1433,f1434,f1405,f1406,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1424,f1430,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1495,f1496,f1497,f1498,f1499,f1500,f1502,f1503,f760,f1508,f1509,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1527,f749,f761,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1643,f1619,f1620,f1644,f1621,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1748,f1721,f1768,f1766,f1764,f1757]) ).
fof(f1757,plain,
( element(sK5(sK2,sK1),sK1)
| sK1 = relation_dom(sK2)
| ~ spl14_15
| ~ spl14_18
| spl14_82 ),
inference(resolution,[],[f1721,f1430]) ).
fof(f1764,plain,
( ! [X0] :
( in(sK5(sK2,sK1),X0)
| sK1 = relation_dom(sK2)
| relation_dom(sK2) != X0 )
| ~ spl14_15
| spl14_82 ),
inference(subsumption_resolution,[],[f1758,f263]) ).
fof(f1758,plain,
( ! [X0] :
( in(sK5(sK2,sK1),X0)
| ~ relation(sK2)
| sK1 = relation_dom(sK2)
| relation_dom(sK2) != X0 )
| spl14_82 ),
inference(resolution,[],[f1721,f761]) ).
fof(f1766,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| sK1 = relation_dom(sK2)
| ~ spl14_15
| spl14_82 ),
inference(subsumption_resolution,[],[f1759,f263]) ).
fof(f1759,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| ~ relation(sK2)
| sK1 = relation_dom(sK2)
| spl14_82 ),
inference(resolution,[],[f1721,f760]) ).
fof(f1768,plain,
( in(sK5(sK2,sK1),relation_dom(sK2))
| sK1 = relation_dom(sK2)
| ~ spl14_15
| spl14_82 ),
inference(subsumption_resolution,[],[f1760,f263]) ).
fof(f1760,plain,
( in(sK5(sK2,sK1),relation_dom(sK2))
| ~ relation(sK2)
| sK1 = relation_dom(sK2)
| spl14_82 ),
inference(resolution,[],[f1721,f759]) ).
fof(f564,plain,
( ! [X5] :
( sK1 = relation_dom(sK2)
| in(ordered_pair(X5,sK4(X5)),sK2)
| ~ in(X5,sK1) )
| ~ spl14_16 ),
inference(forward_demodulation,[],[f89,f361]) ).
fof(f1721,plain,
( ~ in(sK5(sK2,sK1),sK1)
| spl14_82 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1719,plain,
( spl14_82
<=> in(sK5(sK2,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).
fof(f1748,plain,
( ~ element(sK5(sK2,sK1),sK1)
| spl14_84 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1747,plain,
( spl14_84
<=> element(sK5(sK2,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_84])]) ).
fof(f1639,plain,
! [X58,X59,X57] :
( in(sK5(X57,sK8(powerset(X58))),X59)
| ~ relation(X57)
| sK8(powerset(X58)) = relation_dom(X57)
| relation_dom(X57) != X59
| ~ empty(X58) ),
inference(resolution,[],[f761,f189]) ).
fof(f1638,plain,
! [X56,X54,X55] :
( in(sK5(X54,sK8(powerset(X55))),X56)
| ~ relation(X54)
| sK8(powerset(X55)) = relation_dom(X54)
| relation_dom(X54) != X56
| element(sK5(X54,sK8(powerset(X55))),X55) ),
inference(resolution,[],[f761,f268]) ).
fof(f1637,plain,
! [X50,X51,X49,X52,X53] :
( in(sK5(X49,relation_dom_as_subset(X50,X51,X52)),X53)
| ~ relation(X49)
| relation_dom_as_subset(X50,X51,X52) = relation_dom(X49)
| relation_dom(X49) != X53
| ~ empty(X50)
| ~ relation_of2(X52,X50,X51) ),
inference(resolution,[],[f761,f370]) ).
fof(f1636,plain,
! [X48,X46,X47,X44,X45] :
( in(sK5(X44,relation_dom_as_subset(X45,X46,X47)),X48)
| ~ relation(X44)
| relation_dom_as_subset(X45,X46,X47) = relation_dom(X44)
| relation_dom(X44) != X48
| element(sK5(X44,relation_dom_as_subset(X45,X46,X47)),X45)
| ~ relation_of2(X47,X45,X46) ),
inference(resolution,[],[f761,f369]) ).
fof(f1635,plain,
! [X40,X41,X42,X43] :
( in(sK5(X40,relation_dom(sK11(X41,X42))),X43)
| ~ relation(X40)
| relation_dom(sK11(X41,X42)) = relation_dom(X40)
| relation_dom(X40) != X43
| ~ empty(X41) ),
inference(resolution,[],[f761,f988]) ).
fof(f1634,plain,
! [X38,X39,X36,X37] :
( in(sK5(X36,relation_dom(sK11(X37,X38))),X39)
| ~ relation(X36)
| relation_dom(sK11(X37,X38)) = relation_dom(X36)
| relation_dom(X36) != X39
| element(sK5(X36,relation_dom(sK11(X37,X38))),X37) ),
inference(resolution,[],[f761,f987]) ).
fof(f1633,plain,
! [X34,X35,X32,X33] :
( in(sK5(X32,relation_dom(sK10(X33,X34))),X35)
| ~ relation(X32)
| relation_dom(sK10(X33,X34)) = relation_dom(X32)
| relation_dom(X32) != X35
| ~ empty(X33) ),
inference(resolution,[],[f761,f768]) ).
fof(f1632,plain,
! [X31,X28,X29,X30] :
( in(sK5(X28,relation_dom(sK10(X29,X30))),X31)
| ~ relation(X28)
| relation_dom(sK10(X29,X30)) = relation_dom(X28)
| relation_dom(X28) != X31
| element(sK5(X28,relation_dom(sK10(X29,X30))),X29) ),
inference(resolution,[],[f761,f767]) ).
fof(f1631,plain,
( ! [X26,X27] :
( in(sK5(X26,relation_dom(sK2)),X27)
| ~ relation(X26)
| relation_dom(sK2) = relation_dom(X26)
| relation_dom(X26) != X27
| element(sK5(X26,relation_dom(sK2)),sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f761,f382]) ).
fof(f1630,plain,
! [X24,X25,X23] :
( in(sK5(X23,relation_dom(X24)),X25)
| ~ relation(X23)
| relation_dom(X24) = relation_dom(X23)
| relation_dom(X23) != X25
| ~ relation(X24)
| ~ empty(X24) ),
inference(resolution,[],[f761,f1045]) ).
fof(f1629,plain,
! [X21,X19,X22,X20] :
( in(sK5(X19,powerset(cartesian_product2(X20,X21))),X22)
| ~ relation(X19)
| relation_dom(X19) = powerset(cartesian_product2(X20,X21))
| relation_dom(X19) != X22
| relation(sK5(X19,powerset(cartesian_product2(X20,X21)))) ),
inference(resolution,[],[f761,f177]) ).
fof(f1628,plain,
! [X18,X16,X17] :
( in(sK5(X16,powerset(X17)),X18)
| ~ relation(X16)
| powerset(X17) = relation_dom(X16)
| relation_dom(X16) != X18
| subset(sK5(X16,powerset(X17)),X17) ),
inference(resolution,[],[f761,f164]) ).
fof(f1627,plain,
! [X14,X15,X12,X13] :
( in(sK5(X12,powerset(X13)),X14)
| ~ relation(X12)
| powerset(X13) = relation_dom(X12)
| relation_dom(X12) != X14
| ~ in(X15,sK5(X12,powerset(X13)))
| ~ empty(X13) ),
inference(resolution,[],[f761,f191]) ).
fof(f1626,plain,
! [X10,X11,X8,X9] :
( in(sK5(X8,powerset(X9)),X10)
| ~ relation(X8)
| powerset(X9) = relation_dom(X8)
| relation_dom(X8) != X10
| ~ in(X11,sK5(X8,powerset(X9)))
| element(X11,X9) ),
inference(resolution,[],[f761,f271]) ).
fof(f1625,plain,
! [X6,X7,X5] :
( in(sK5(X5,X6),X7)
| ~ relation(X5)
| relation_dom(X5) = X6
| relation_dom(X5) != X7
| ~ empty(X6) ),
inference(resolution,[],[f761,f111]) ).
fof(f1624,plain,
! [X2,X3,X4] :
( in(sK5(X2,X3),X4)
| ~ relation(X2)
| relation_dom(X2) = X3
| relation_dom(X2) != X4
| ~ in(X3,sK5(X2,X3)) ),
inference(resolution,[],[f761,f103]) ).
fof(f1621,plain,
! [X76,X77,X75] :
( in(sK5(X75,X76),X76)
| ~ relation(X75)
| relation_dom(X75) = X76
| relation_dom(X75) != sK9(X77,sK5(X75,X76))
| ~ empty(X77)
| sK5(X75,X76) = X77 ),
inference(resolution,[],[f761,f723]) ).
fof(f1644,plain,
! [X72,X73,X74] :
( in(sK5(X72,X73),X73)
| ~ relation(X72)
| relation_dom(X72) = X73
| relation_dom(X72) != sK9(X74,sK5(X72,X73))
| sK5(X72,X73) = X74
| in(relation_dom(X72),X74) ),
inference(inner_rewriting,[],[f1620]) ).
fof(f1620,plain,
! [X72,X73,X74] :
( in(sK5(X72,X73),X73)
| ~ relation(X72)
| relation_dom(X72) = X73
| relation_dom(X72) != sK9(X74,sK5(X72,X73))
| sK5(X72,X73) = X74
| in(sK9(X74,sK5(X72,X73)),X74) ),
inference(resolution,[],[f761,f463]) ).
fof(f1619,plain,
! [X70,X71,X69] :
( in(sK5(X69,X70),X70)
| ~ relation(X69)
| relation_dom(X69) = X70
| relation_dom(X69) != sK9(sK5(X69,X70),X71)
| ~ empty(X71)
| sK5(X69,X70) = X71 ),
inference(resolution,[],[f761,f702]) ).
fof(f1643,plain,
! [X68,X66,X67] :
( in(sK5(X66,X67),X67)
| ~ relation(X66)
| relation_dom(X66) = X67
| relation_dom(X66) != sK9(sK5(X66,X67),X68)
| sK5(X66,X67) = X68
| in(relation_dom(X66),X68) ),
inference(inner_rewriting,[],[f1618]) ).
fof(f1618,plain,
! [X68,X66,X67] :
( in(sK5(X66,X67),X67)
| ~ relation(X66)
| relation_dom(X66) = X67
| relation_dom(X66) != sK9(sK5(X66,X67),X68)
| sK5(X66,X67) = X68
| in(sK9(sK5(X66,X67),X68),X68) ),
inference(resolution,[],[f761,f472]) ).
fof(f1617,plain,
! [X65,X64] :
( in(sK5(X64,X65),X65)
| ~ relation(X64)
| relation_dom(X64) = X65
| relation_dom(X64) != sK8(sK8(powerset(sK5(X64,X65))))
| empty(sK8(powerset(sK5(X64,X65)))) ),
inference(resolution,[],[f761,f337]) ).
fof(f1616,plain,
! [X62,X63,X61] :
( in(sK5(X61,X62),X62)
| ~ relation(X61)
| relation_dom(X61) = X62
| relation_dom(X61) != sK8(powerset(X63))
| ~ empty(X63) ),
inference(resolution,[],[f761,f189]) ).
fof(f1615,plain,
! [X58,X59,X60] :
( in(sK5(X58,X59),X59)
| ~ relation(X58)
| relation_dom(X58) = X59
| relation_dom(X58) != sK8(powerset(X60))
| element(sK5(X58,X59),X60) ),
inference(resolution,[],[f761,f268]) ).
fof(f1614,plain,
! [X56,X57] :
( in(sK5(X56,X57),X57)
| ~ relation(X56)
| relation_dom(X56) = X57
| relation_dom(X56) != sK8(sK5(X56,X57))
| empty(sK5(X56,X57)) ),
inference(resolution,[],[f761,f172]) ).
fof(f1613,plain,
! [X51,X54,X55,X52,X53] :
( in(sK5(X51,X52),X52)
| ~ relation(X51)
| relation_dom(X51) = X52
| relation_dom(X51) != relation_dom_as_subset(X53,X54,X55)
| ~ empty(X53)
| ~ relation_of2(X55,X53,X54) ),
inference(resolution,[],[f761,f370]) ).
fof(f1612,plain,
! [X50,X48,X46,X49,X47] :
( in(sK5(X46,X47),X47)
| ~ relation(X46)
| relation_dom(X46) = X47
| relation_dom(X46) != relation_dom_as_subset(X48,X49,X50)
| element(sK5(X46,X47),X48)
| ~ relation_of2(X50,X48,X49) ),
inference(resolution,[],[f761,f369]) ).
fof(f1611,plain,
! [X44,X45,X43] :
( in(sK5(X43,X44),X44)
| ~ relation(X43)
| relation_dom(X43) = X44
| relation_dom(X43) != ordered_pair(sK5(sK5(X43,X44),X45),sK6(sK5(X43,X44),X45))
| in(sK5(sK5(X43,X44),X45),X45)
| ~ relation(sK5(X43,X44))
| relation_dom(sK5(X43,X44)) = X45 ),
inference(resolution,[],[f761,f749]) ).
fof(f1610,plain,
! [X40,X41,X39,X42] :
( in(sK5(X39,X40),X40)
| ~ relation(X39)
| relation_dom(X39) = X40
| relation_dom(X39) != relation_dom(sK11(X41,X42))
| ~ empty(X41) ),
inference(resolution,[],[f761,f988]) ).
fof(f1609,plain,
! [X38,X36,X37,X35] :
( in(sK5(X35,X36),X36)
| ~ relation(X35)
| relation_dom(X35) = X36
| relation_dom(sK11(X37,X38)) != relation_dom(X35)
| element(sK5(X35,X36),X37) ),
inference(resolution,[],[f761,f987]) ).
fof(f1608,plain,
! [X31,X34,X32,X33] :
( in(sK5(X31,X32),X32)
| ~ relation(X31)
| relation_dom(X31) = X32
| relation_dom(X31) != relation_dom(sK10(X33,X34))
| ~ empty(X33) ),
inference(resolution,[],[f761,f768]) ).
fof(f1607,plain,
! [X28,X29,X27,X30] :
( in(sK5(X27,X28),X28)
| ~ relation(X27)
| relation_dom(X27) = X28
| relation_dom(X27) != relation_dom(sK10(X29,X30))
| element(sK5(X27,X28),X29) ),
inference(resolution,[],[f761,f767]) ).
fof(f1606,plain,
( ! [X26,X25] :
( in(sK5(X25,X26),X26)
| ~ relation(X25)
| relation_dom(X25) = X26
| relation_dom(sK2) != relation_dom(X25)
| element(sK5(X25,X26),sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f761,f382]) ).
fof(f1605,plain,
! [X24,X22,X23] :
( in(sK5(X22,X23),X23)
| ~ relation(X22)
| relation_dom(X22) = X23
| relation_dom(X24) != relation_dom(X22)
| ~ relation(X24)
| ~ empty(X24) ),
inference(resolution,[],[f761,f1045]) ).
fof(f1604,plain,
! [X21,X18,X19,X20] :
( in(sK5(X18,X19),X19)
| ~ relation(X18)
| relation_dom(X18) = X19
| relation_dom(X18) != powerset(cartesian_product2(X20,X21))
| relation(sK5(X18,X19)) ),
inference(resolution,[],[f761,f177]) ).
fof(f1603,plain,
! [X16,X17,X15] :
( in(sK5(X15,X16),X16)
| ~ relation(X15)
| relation_dom(X15) = X16
| powerset(X17) != relation_dom(X15)
| subset(sK5(X15,X16),X17) ),
inference(resolution,[],[f761,f164]) ).
fof(f1602,plain,
! [X11,X14,X12,X13] :
( in(sK5(X11,X12),X12)
| ~ relation(X11)
| relation_dom(X11) = X12
| powerset(X13) != relation_dom(X11)
| ~ in(X14,sK5(X11,X12))
| ~ empty(X13) ),
inference(resolution,[],[f761,f191]) ).
fof(f1601,plain,
! [X10,X8,X9,X7] :
( in(sK5(X7,X8),X8)
| ~ relation(X7)
| relation_dom(X7) = X8
| powerset(X9) != relation_dom(X7)
| ~ in(X10,sK5(X7,X8))
| element(X10,X9) ),
inference(resolution,[],[f761,f271]) ).
fof(f1600,plain,
! [X6,X4,X5] :
( in(sK5(X4,X5),X5)
| ~ relation(X4)
| relation_dom(X4) = X5
| relation_dom(X4) != X6
| ~ empty(X6) ),
inference(resolution,[],[f761,f111]) ).
fof(f1599,plain,
! [X2,X3,X1] :
( in(sK5(X1,X2),X2)
| ~ relation(X1)
| relation_dom(X1) = X2
| relation_dom(X1) != X3
| ~ in(X3,sK5(X1,X2)) ),
inference(resolution,[],[f761,f103]) ).
fof(f761,plain,
! [X2,X0,X1] :
( in(sK5(X0,X1),X2)
| in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_dom(X0) = X1
| relation_dom(X0) != X2 ),
inference(duplicate_literal_removal,[],[f745]) ).
fof(f745,plain,
! [X2,X0,X1] :
( relation_dom(X0) = X1
| in(sK5(X0,X1),X1)
| ~ relation(X0)
| in(sK5(X0,X1),X2)
| relation_dom(X0) != X2
| ~ relation(X0) ),
inference(resolution,[],[f95,f94]) ).
fof(f749,plain,
! [X10,X9] :
( ~ in(X9,ordered_pair(sK5(X9,X10),sK6(X9,X10)))
| in(sK5(X9,X10),X10)
| ~ relation(X9)
| relation_dom(X9) = X10 ),
inference(resolution,[],[f95,f103]) ).
fof(f1527,plain,
! [X41,X42] :
( in(sK6(X41,sK8(powerset(X42))),relation_rng(X41))
| ~ relation(X41)
| relation_dom(X41) = sK8(powerset(X42))
| ~ empty(X42) ),
inference(resolution,[],[f760,f189]) ).
fof(f1526,plain,
! [X40,X39] :
( in(sK6(X39,sK8(powerset(X40))),relation_rng(X39))
| ~ relation(X39)
| relation_dom(X39) = sK8(powerset(X40))
| element(sK5(X39,sK8(powerset(X40))),X40) ),
inference(resolution,[],[f760,f268]) ).
fof(f1524,plain,
! [X36,X37,X34,X35] :
( in(sK6(X34,relation_dom_as_subset(X35,X36,X37)),relation_rng(X34))
| ~ relation(X34)
| relation_dom(X34) = relation_dom_as_subset(X35,X36,X37)
| ~ empty(X35)
| ~ relation_of2(X37,X35,X36) ),
inference(resolution,[],[f760,f370]) ).
fof(f1523,plain,
! [X31,X32,X30,X33] :
( in(sK6(X30,relation_dom_as_subset(X31,X32,X33)),relation_rng(X30))
| ~ relation(X30)
| relation_dom(X30) = relation_dom_as_subset(X31,X32,X33)
| element(sK5(X30,relation_dom_as_subset(X31,X32,X33)),X31)
| ~ relation_of2(X33,X31,X32) ),
inference(resolution,[],[f760,f369]) ).
fof(f1522,plain,
! [X28,X29,X27] :
( in(sK6(X27,relation_dom(sK11(X28,X29))),relation_rng(X27))
| ~ relation(X27)
| relation_dom(X27) = relation_dom(sK11(X28,X29))
| ~ empty(X28) ),
inference(resolution,[],[f760,f988]) ).
fof(f1521,plain,
! [X26,X24,X25] :
( in(sK6(X24,relation_dom(sK11(X25,X26))),relation_rng(X24))
| ~ relation(X24)
| relation_dom(X24) = relation_dom(sK11(X25,X26))
| element(sK5(X24,relation_dom(sK11(X25,X26))),X25) ),
inference(resolution,[],[f760,f987]) ).
fof(f1520,plain,
! [X21,X22,X23] :
( in(sK6(X21,relation_dom(sK10(X22,X23))),relation_rng(X21))
| ~ relation(X21)
| relation_dom(X21) = relation_dom(sK10(X22,X23))
| ~ empty(X22) ),
inference(resolution,[],[f760,f768]) ).
fof(f1519,plain,
! [X18,X19,X20] :
( in(sK6(X18,relation_dom(sK10(X19,X20))),relation_rng(X18))
| ~ relation(X18)
| relation_dom(X18) = relation_dom(sK10(X19,X20))
| element(sK5(X18,relation_dom(sK10(X19,X20))),X19) ),
inference(resolution,[],[f760,f767]) ).
fof(f1518,plain,
( ! [X17] :
( in(sK6(X17,relation_dom(sK2)),relation_rng(X17))
| ~ relation(X17)
| relation_dom(sK2) = relation_dom(X17)
| element(sK5(X17,relation_dom(sK2)),sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f760,f382]) ).
fof(f1517,plain,
! [X16,X15] :
( in(sK6(X15,relation_dom(X16)),relation_rng(X15))
| ~ relation(X15)
| relation_dom(X15) = relation_dom(X16)
| ~ relation(X16)
| ~ empty(X16) ),
inference(resolution,[],[f760,f1045]) ).
fof(f1516,plain,
! [X14,X12,X13] :
( in(sK6(X12,powerset(cartesian_product2(X13,X14))),relation_rng(X12))
| ~ relation(X12)
| powerset(cartesian_product2(X13,X14)) = relation_dom(X12)
| relation(sK5(X12,powerset(cartesian_product2(X13,X14)))) ),
inference(resolution,[],[f760,f177]) ).
fof(f1515,plain,
! [X10,X11] :
( in(sK6(X10,powerset(X11)),relation_rng(X10))
| ~ relation(X10)
| powerset(X11) = relation_dom(X10)
| subset(sK5(X10,powerset(X11)),X11) ),
inference(resolution,[],[f760,f164]) ).
fof(f1514,plain,
! [X8,X9,X7] :
( in(sK6(X7,powerset(X8)),relation_rng(X7))
| ~ relation(X7)
| powerset(X8) = relation_dom(X7)
| ~ in(X9,sK5(X7,powerset(X8)))
| ~ empty(X8) ),
inference(resolution,[],[f760,f191]) ).
fof(f1513,plain,
! [X6,X4,X5] :
( in(sK6(X4,powerset(X5)),relation_rng(X4))
| ~ relation(X4)
| powerset(X5) = relation_dom(X4)
| ~ in(X6,sK5(X4,powerset(X5)))
| element(X6,X5) ),
inference(resolution,[],[f760,f271]) ).
fof(f1512,plain,
! [X2,X3] :
( in(sK6(X2,X3),relation_rng(X2))
| ~ relation(X2)
| relation_dom(X2) = X3
| ~ empty(X3) ),
inference(resolution,[],[f760,f111]) ).
fof(f1511,plain,
! [X0,X1] :
( in(sK6(X0,X1),relation_rng(X0))
| ~ relation(X0)
| relation_dom(X0) = X1
| ~ in(X1,sK5(X0,X1)) ),
inference(resolution,[],[f760,f103]) ).
fof(f1509,plain,
! [X2,X3] :
( in(sK5(X2,X3),X3)
| ~ relation(X2)
| relation_dom(X2) = X3
| ~ empty(relation_rng(X2)) ),
inference(resolution,[],[f760,f111]) ).
fof(f1508,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_dom(X0) = X1
| ~ in(relation_rng(X0),sK6(X0,X1)) ),
inference(resolution,[],[f760,f103]) ).
fof(f760,plain,
! [X3,X4] :
( in(sK6(X3,X4),relation_rng(X3))
| in(sK5(X3,X4),X4)
| ~ relation(X3)
| relation_dom(X3) = X4 ),
inference(duplicate_literal_removal,[],[f746]) ).
fof(f746,plain,
! [X3,X4] :
( relation_dom(X3) = X4
| in(sK5(X3,X4),X4)
| ~ relation(X3)
| in(sK6(X3,X4),relation_rng(X3))
| ~ relation(X3) ),
inference(resolution,[],[f95,f115]) ).
fof(f1503,plain,
( ! [X25] :
( element(sK5(sK2,sK8(powerset(X25))),sK1)
| relation_dom(sK2) = sK8(powerset(X25))
| ~ empty(X25) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f189]) ).
fof(f1502,plain,
( ! [X24] :
( element(sK5(sK2,sK8(powerset(X24))),sK1)
| relation_dom(sK2) = sK8(powerset(X24))
| element(sK5(sK2,sK8(powerset(X24))),X24) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f268]) ).
fof(f1500,plain,
( ! [X21,X22,X23] :
( element(sK5(sK2,relation_dom_as_subset(X21,X22,X23)),sK1)
| relation_dom(sK2) = relation_dom_as_subset(X21,X22,X23)
| ~ empty(X21)
| ~ relation_of2(X23,X21,X22) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f370]) ).
fof(f1499,plain,
( ! [X18,X19,X20] :
( element(sK5(sK2,relation_dom_as_subset(X18,X19,X20)),sK1)
| relation_dom(sK2) = relation_dom_as_subset(X18,X19,X20)
| element(sK5(sK2,relation_dom_as_subset(X18,X19,X20)),X18)
| ~ relation_of2(X20,X18,X19) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f369]) ).
fof(f1498,plain,
( ! [X16,X17] :
( element(sK5(sK2,relation_dom(sK11(X16,X17))),sK1)
| relation_dom(sK2) = relation_dom(sK11(X16,X17))
| ~ empty(X16) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f988]) ).
fof(f1497,plain,
( ! [X14,X15] :
( element(sK5(sK2,relation_dom(sK11(X14,X15))),sK1)
| relation_dom(sK2) = relation_dom(sK11(X14,X15))
| element(sK5(sK2,relation_dom(sK11(X14,X15))),X14) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f987]) ).
fof(f1496,plain,
( ! [X12,X13] :
( element(sK5(sK2,relation_dom(sK10(X12,X13))),sK1)
| relation_dom(sK2) = relation_dom(sK10(X12,X13))
| ~ empty(X12) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f768]) ).
fof(f1495,plain,
( ! [X10,X11] :
( element(sK5(sK2,relation_dom(sK10(X10,X11))),sK1)
| relation_dom(sK2) = relation_dom(sK10(X10,X11))
| element(sK5(sK2,relation_dom(sK10(X10,X11))),X10) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f767]) ).
fof(f1493,plain,
( ! [X9] :
( element(sK5(sK2,relation_dom(X9)),sK1)
| relation_dom(sK2) = relation_dom(X9)
| ~ relation(X9)
| ~ empty(X9) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f1045]) ).
fof(f1492,plain,
( ! [X8,X7] :
( element(sK5(sK2,powerset(cartesian_product2(X7,X8))),sK1)
| powerset(cartesian_product2(X7,X8)) = relation_dom(sK2)
| relation(sK5(sK2,powerset(cartesian_product2(X7,X8)))) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f177]) ).
fof(f1491,plain,
( ! [X6] :
( element(sK5(sK2,powerset(X6)),sK1)
| powerset(X6) = relation_dom(sK2)
| subset(sK5(sK2,powerset(X6)),X6) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f164]) ).
fof(f1490,plain,
( ! [X4,X5] :
( element(sK5(sK2,powerset(X4)),sK1)
| powerset(X4) = relation_dom(sK2)
| ~ in(X5,sK5(sK2,powerset(X4)))
| ~ empty(X4) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f191]) ).
fof(f1489,plain,
( ! [X2,X3] :
( element(sK5(sK2,powerset(X2)),sK1)
| powerset(X2) = relation_dom(sK2)
| ~ in(X3,sK5(sK2,powerset(X2)))
| element(X3,X2) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f271]) ).
fof(f1488,plain,
( ! [X1] :
( element(sK5(sK2,X1),sK1)
| relation_dom(sK2) = X1
| ~ empty(X1) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f111]) ).
fof(f1487,plain,
( ! [X0] :
( element(sK5(sK2,X0),sK1)
| relation_dom(sK2) = X0
| ~ in(X0,sK5(sK2,X0)) )
| ~ spl14_15
| ~ spl14_18 ),
inference(resolution,[],[f1430,f103]) ).
fof(f1430,plain,
( ! [X2] :
( element(sK5(sK2,X2),sK1)
| in(sK5(sK2,X2),X2)
| relation_dom(sK2) = X2 )
| ~ spl14_15
| ~ spl14_18 ),
inference(subsumption_resolution,[],[f1400,f263]) ).
fof(f1400,plain,
( ! [X2] :
( in(sK5(sK2,X2),X2)
| ~ relation(sK2)
| relation_dom(sK2) = X2
| element(sK5(sK2,X2),sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f759,f382]) ).
fof(f1424,plain,
! [X41,X42] :
( in(sK5(X41,sK8(powerset(X42))),relation_dom(X41))
| ~ relation(X41)
| relation_dom(X41) = sK8(powerset(X42))
| ~ empty(X42) ),
inference(resolution,[],[f759,f189]) ).
fof(f1423,plain,
! [X40,X39] :
( in(sK5(X39,sK8(powerset(X40))),relation_dom(X39))
| ~ relation(X39)
| relation_dom(X39) = sK8(powerset(X40))
| element(sK5(X39,sK8(powerset(X40))),X40) ),
inference(resolution,[],[f759,f268]) ).
fof(f1421,plain,
! [X36,X37,X34,X35] :
( in(sK5(X34,relation_dom_as_subset(X35,X36,X37)),relation_dom(X34))
| ~ relation(X34)
| relation_dom(X34) = relation_dom_as_subset(X35,X36,X37)
| ~ empty(X35)
| ~ relation_of2(X37,X35,X36) ),
inference(resolution,[],[f759,f370]) ).
fof(f1420,plain,
! [X31,X32,X30,X33] :
( in(sK5(X30,relation_dom_as_subset(X31,X32,X33)),relation_dom(X30))
| ~ relation(X30)
| relation_dom(X30) = relation_dom_as_subset(X31,X32,X33)
| element(sK5(X30,relation_dom_as_subset(X31,X32,X33)),X31)
| ~ relation_of2(X33,X31,X32) ),
inference(resolution,[],[f759,f369]) ).
fof(f1419,plain,
! [X28,X29,X27] :
( in(sK5(X27,relation_dom(sK11(X28,X29))),relation_dom(X27))
| ~ relation(X27)
| relation_dom(X27) = relation_dom(sK11(X28,X29))
| ~ empty(X28) ),
inference(resolution,[],[f759,f988]) ).
fof(f1418,plain,
! [X26,X24,X25] :
( in(sK5(X24,relation_dom(sK11(X25,X26))),relation_dom(X24))
| ~ relation(X24)
| relation_dom(X24) = relation_dom(sK11(X25,X26))
| element(sK5(X24,relation_dom(sK11(X25,X26))),X25) ),
inference(resolution,[],[f759,f987]) ).
fof(f1417,plain,
! [X21,X22,X23] :
( in(sK5(X21,relation_dom(sK10(X22,X23))),relation_dom(X21))
| ~ relation(X21)
| relation_dom(X21) = relation_dom(sK10(X22,X23))
| ~ empty(X22) ),
inference(resolution,[],[f759,f768]) ).
fof(f1416,plain,
! [X18,X19,X20] :
( in(sK5(X18,relation_dom(sK10(X19,X20))),relation_dom(X18))
| ~ relation(X18)
| relation_dom(X18) = relation_dom(sK10(X19,X20))
| element(sK5(X18,relation_dom(sK10(X19,X20))),X19) ),
inference(resolution,[],[f759,f767]) ).
fof(f1415,plain,
( ! [X17] :
( in(sK5(X17,relation_dom(sK2)),relation_dom(X17))
| ~ relation(X17)
| relation_dom(sK2) = relation_dom(X17)
| element(sK5(X17,relation_dom(sK2)),sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f759,f382]) ).
fof(f1414,plain,
! [X16,X15] :
( in(sK5(X15,relation_dom(X16)),relation_dom(X15))
| ~ relation(X15)
| relation_dom(X15) = relation_dom(X16)
| ~ relation(X16)
| ~ empty(X16) ),
inference(resolution,[],[f759,f1045]) ).
fof(f1413,plain,
! [X14,X12,X13] :
( in(sK5(X12,powerset(cartesian_product2(X13,X14))),relation_dom(X12))
| ~ relation(X12)
| powerset(cartesian_product2(X13,X14)) = relation_dom(X12)
| relation(sK5(X12,powerset(cartesian_product2(X13,X14)))) ),
inference(resolution,[],[f759,f177]) ).
fof(f1412,plain,
! [X10,X11] :
( in(sK5(X10,powerset(X11)),relation_dom(X10))
| ~ relation(X10)
| powerset(X11) = relation_dom(X10)
| subset(sK5(X10,powerset(X11)),X11) ),
inference(resolution,[],[f759,f164]) ).
fof(f1411,plain,
! [X8,X9,X7] :
( in(sK5(X7,powerset(X8)),relation_dom(X7))
| ~ relation(X7)
| powerset(X8) = relation_dom(X7)
| ~ in(X9,sK5(X7,powerset(X8)))
| ~ empty(X8) ),
inference(resolution,[],[f759,f191]) ).
fof(f1410,plain,
! [X6,X4,X5] :
( in(sK5(X4,powerset(X5)),relation_dom(X4))
| ~ relation(X4)
| powerset(X5) = relation_dom(X4)
| ~ in(X6,sK5(X4,powerset(X5)))
| element(X6,X5) ),
inference(resolution,[],[f759,f271]) ).
fof(f1409,plain,
! [X2,X3] :
( in(sK5(X2,X3),relation_dom(X2))
| ~ relation(X2)
| relation_dom(X2) = X3
| ~ empty(X3) ),
inference(resolution,[],[f759,f111]) ).
fof(f1408,plain,
! [X0,X1] :
( in(sK5(X0,X1),relation_dom(X0))
| ~ relation(X0)
| relation_dom(X0) = X1
| ~ in(X1,sK5(X0,X1)) ),
inference(resolution,[],[f759,f103]) ).
fof(f1406,plain,
! [X18,X17] :
( in(sK5(X17,X18),X18)
| ~ relation(X17)
| relation_dom(X17) = X18
| ~ empty(relation_dom(X17)) ),
inference(resolution,[],[f759,f111]) ).
fof(f1405,plain,
! [X16,X15] :
( in(sK5(X15,X16),X16)
| ~ relation(X15)
| relation_dom(X15) = X16
| ~ in(relation_dom(X15),sK5(X15,X16)) ),
inference(resolution,[],[f759,f103]) ).
fof(f1434,plain,
! [X14,X12,X13] :
( in(sK5(sK11(X12,X13),X14),X14)
| relation_dom(sK11(X12,X13)) = X14
| ~ empty(X12) ),
inference(subsumption_resolution,[],[f1404,f258]) ).
fof(f1404,plain,
! [X14,X12,X13] :
( in(sK5(sK11(X12,X13),X14),X14)
| ~ relation(sK11(X12,X13))
| relation_dom(sK11(X12,X13)) = X14
| ~ empty(X12) ),
inference(resolution,[],[f759,f988]) ).
fof(f1433,plain,
! [X10,X11,X9] :
( in(sK5(sK11(X9,X10),X11),X11)
| relation_dom(sK11(X9,X10)) = X11
| element(sK5(sK11(X9,X10),X11),X9) ),
inference(subsumption_resolution,[],[f1403,f258]) ).
fof(f1403,plain,
! [X10,X11,X9] :
( in(sK5(sK11(X9,X10),X11),X11)
| ~ relation(sK11(X9,X10))
| relation_dom(sK11(X9,X10)) = X11
| element(sK5(sK11(X9,X10),X11),X9) ),
inference(resolution,[],[f759,f987]) ).
fof(f1432,plain,
! [X8,X6,X7] :
( in(sK5(sK10(X6,X7),X8),X8)
| relation_dom(sK10(X6,X7)) = X8
| ~ empty(X6) ),
inference(subsumption_resolution,[],[f1402,f265]) ).
fof(f1402,plain,
! [X8,X6,X7] :
( in(sK5(sK10(X6,X7),X8),X8)
| ~ relation(sK10(X6,X7))
| relation_dom(sK10(X6,X7)) = X8
| ~ empty(X6) ),
inference(resolution,[],[f759,f768]) ).
fof(f1431,plain,
! [X3,X4,X5] :
( in(sK5(sK10(X3,X4),X5),X5)
| relation_dom(sK10(X3,X4)) = X5
| element(sK5(sK10(X3,X4),X5),X3) ),
inference(subsumption_resolution,[],[f1401,f265]) ).
fof(f1401,plain,
! [X3,X4,X5] :
( in(sK5(sK10(X3,X4),X5),X5)
| ~ relation(sK10(X3,X4))
| relation_dom(sK10(X3,X4)) = X5
| element(sK5(sK10(X3,X4),X5),X3) ),
inference(resolution,[],[f759,f767]) ).
fof(f759,plain,
! [X6,X5] :
( in(sK5(X5,X6),relation_dom(X5))
| in(sK5(X5,X6),X6)
| ~ relation(X5)
| relation_dom(X5) = X6 ),
inference(duplicate_literal_removal,[],[f747]) ).
fof(f747,plain,
! [X6,X5] :
( relation_dom(X5) = X6
| in(sK5(X5,X6),X6)
| ~ relation(X5)
| in(sK5(X5,X6),relation_dom(X5))
| ~ relation(X5) ),
inference(resolution,[],[f95,f114]) ).
fof(f1388,plain,
! [X19,X20] :
( empty_set = relation_dom(sK11(sK8(powerset(sK8(powerset(relation_dom(X19))))),X20))
| ~ empty(X19)
| ~ relation(X19) ),
inference(resolution,[],[f1019,f1094]) ).
fof(f1387,plain,
! [X18,X16,X17] :
( empty_set = relation_dom(sK11(sK8(powerset(sK8(powerset(relation_dom(sK11(X16,X17)))))),X18))
| ~ empty(X16) ),
inference(resolution,[],[f1019,f1002]) ).
fof(f1386,plain,
! [X14,X15,X13] :
( empty_set = relation_dom(sK11(sK8(powerset(sK8(powerset(relation_dom(sK10(X13,X14)))))),X15))
| ~ empty(X13) ),
inference(resolution,[],[f1019,f776]) ).
fof(f1385,plain,
! [X11,X12] :
( empty_set = relation_dom(sK11(sK8(powerset(sK8(powerset(sK8(powerset(X11)))))),X12))
| ~ empty(X11) ),
inference(resolution,[],[f1019,f344]) ).
fof(f1384,plain,
! [X10,X9] :
( empty_set = relation_dom(sK11(sK8(powerset(sK8(powerset(X9)))),X10))
| ~ empty(X9) ),
inference(resolution,[],[f1019,f192]) ).
fof(f1382,plain,
! [X6,X7] :
( empty_set = relation_dom(sK11(sK8(powerset(relation_dom(X6))),X7))
| ~ empty(X6)
| ~ relation(X6) ),
inference(resolution,[],[f1019,f1093]) ).
fof(f1381,plain,
! [X3,X4,X5] :
( empty_set = relation_dom(sK11(sK8(powerset(relation_dom(sK11(X3,X4)))),X5))
| ~ empty(X3) ),
inference(resolution,[],[f1019,f1001]) ).
fof(f1380,plain,
! [X2,X0,X1] :
( empty_set = relation_dom(sK11(sK8(powerset(relation_dom(sK10(X0,X1)))),X2))
| ~ empty(X0) ),
inference(resolution,[],[f1019,f775]) ).
fof(f1019,plain,
! [X8,X7] :
( ~ empty(X7)
| empty_set = relation_dom(sK11(sK8(powerset(X7)),X8)) ),
inference(resolution,[],[f1007,f192]) ).
fof(f1375,plain,
! [X19,X20] :
( empty_set = sK8(powerset(relation_dom(sK11(sK8(powerset(relation_dom(X19))),X20))))
| ~ empty(X19)
| ~ relation(X19) ),
inference(resolution,[],[f1010,f1094]) ).
fof(f1374,plain,
! [X18,X16,X17] :
( empty_set = sK8(powerset(relation_dom(sK11(sK8(powerset(relation_dom(sK11(X16,X17)))),X18))))
| ~ empty(X16) ),
inference(resolution,[],[f1010,f1002]) ).
fof(f1373,plain,
! [X14,X15,X13] :
( empty_set = sK8(powerset(relation_dom(sK11(sK8(powerset(relation_dom(sK10(X13,X14)))),X15))))
| ~ empty(X13) ),
inference(resolution,[],[f1010,f776]) ).
fof(f1372,plain,
! [X11,X12] :
( empty_set = sK8(powerset(relation_dom(sK11(sK8(powerset(sK8(powerset(X11)))),X12))))
| ~ empty(X11) ),
inference(resolution,[],[f1010,f344]) ).
fof(f1371,plain,
! [X10,X9] :
( empty_set = sK8(powerset(relation_dom(sK11(sK8(powerset(X9)),X10))))
| ~ empty(X9) ),
inference(resolution,[],[f1010,f192]) ).
fof(f1369,plain,
! [X6,X7] :
( empty_set = sK8(powerset(relation_dom(sK11(relation_dom(X6),X7))))
| ~ empty(X6)
| ~ relation(X6) ),
inference(resolution,[],[f1010,f1093]) ).
fof(f1368,plain,
! [X3,X4,X5] :
( empty_set = sK8(powerset(relation_dom(sK11(relation_dom(sK11(X3,X4)),X5))))
| ~ empty(X3) ),
inference(resolution,[],[f1010,f1001]) ).
fof(f1367,plain,
! [X2,X0,X1] :
( empty_set = sK8(powerset(relation_dom(sK11(relation_dom(sK10(X0,X1)),X2))))
| ~ empty(X0) ),
inference(resolution,[],[f1010,f775]) ).
fof(f1010,plain,
! [X8,X9] :
( ~ empty(X8)
| empty_set = sK8(powerset(relation_dom(sK11(X8,X9)))) ),
inference(resolution,[],[f1001,f194]) ).
fof(f1325,plain,
! [X11,X12] :
( ~ in(powerset(X11),relation_dom(sK11(X11,X12)))
| empty(powerset(X11)) ),
inference(resolution,[],[f1244,f103]) ).
fof(f1363,plain,
! [X11] :
( ~ relation(sK8(powerset(relation_dom(X11))))
| empty_set = sK8(powerset(relation_dom(sK8(powerset(relation_dom(X11))))))
| ~ empty(X11)
| ~ relation(X11) ),
inference(resolution,[],[f1108,f1094]) ).
fof(f1362,plain,
! [X10,X9] :
( ~ relation(sK8(powerset(relation_dom(sK11(X9,X10)))))
| empty_set = sK8(powerset(relation_dom(sK8(powerset(relation_dom(sK11(X9,X10)))))))
| ~ empty(X9) ),
inference(resolution,[],[f1108,f1002]) ).
fof(f1361,plain,
! [X8,X7] :
( ~ relation(sK8(powerset(relation_dom(sK10(X7,X8)))))
| empty_set = sK8(powerset(relation_dom(sK8(powerset(relation_dom(sK10(X7,X8)))))))
| ~ empty(X7) ),
inference(resolution,[],[f1108,f776]) ).
fof(f1360,plain,
! [X6] :
( ~ relation(sK8(powerset(sK8(powerset(X6)))))
| empty_set = sK8(powerset(relation_dom(sK8(powerset(sK8(powerset(X6)))))))
| ~ empty(X6) ),
inference(resolution,[],[f1108,f344]) ).
fof(f1359,plain,
! [X5] :
( ~ relation(sK8(powerset(X5)))
| empty_set = sK8(powerset(relation_dom(sK8(powerset(X5)))))
| ~ empty(X5) ),
inference(resolution,[],[f1108,f192]) ).
fof(f1357,plain,
! [X4] :
( ~ relation(relation_dom(X4))
| empty_set = sK8(powerset(relation_dom(relation_dom(X4))))
| ~ empty(X4)
| ~ relation(X4) ),
inference(resolution,[],[f1108,f1093]) ).
fof(f1356,plain,
! [X2,X3] :
( ~ relation(relation_dom(sK11(X2,X3)))
| empty_set = sK8(powerset(relation_dom(relation_dom(sK11(X2,X3)))))
| ~ empty(X2) ),
inference(resolution,[],[f1108,f1001]) ).
fof(f1355,plain,
! [X0,X1] :
( ~ relation(relation_dom(sK10(X0,X1)))
| empty_set = sK8(powerset(relation_dom(relation_dom(sK10(X0,X1)))))
| ~ empty(X0) ),
inference(resolution,[],[f1108,f775]) ).
fof(f1108,plain,
! [X5] :
( ~ empty(X5)
| ~ relation(X5)
| empty_set = sK8(powerset(relation_dom(X5))) ),
inference(resolution,[],[f1093,f194]) ).
fof(f1354,plain,
! [X50,X48,X49] :
( empty(powerset(cartesian_product2(X48,X49)))
| ~ relation_of2_as_subset(sK9(X50,powerset(cartesian_product2(X48,X49))),X48,X49)
| powerset(cartesian_product2(X48,X49)) = X50
| ~ in(sK9(X50,powerset(cartesian_product2(X48,X49))),X50) ),
inference(resolution,[],[f252,f107]) ).
fof(f1353,plain,
! [X46,X47,X44,X45] :
( empty(powerset(cartesian_product2(X44,X45)))
| ~ relation_of2_as_subset(ordered_pair(sK5(powerset(cartesian_product2(X44,X45)),X46),X47),X44,X45)
| relation_dom(powerset(cartesian_product2(X44,X45))) = X46
| ~ in(sK5(powerset(cartesian_product2(X44,X45)),X46),X46)
| ~ relation(powerset(cartesian_product2(X44,X45))) ),
inference(resolution,[],[f252,f96]) ).
fof(f1352,plain,
! [X40,X41,X42,X43] :
( empty(powerset(cartesian_product2(X40,X41)))
| ~ relation_of2_as_subset(ordered_pair(X42,X43),X40,X41)
| in(X42,relation_dom(powerset(cartesian_product2(X40,X41))))
| ~ relation(powerset(cartesian_product2(X40,X41))) ),
inference(resolution,[],[f252,f114]) ).
fof(f1351,plain,
! [X38,X39,X36,X37] :
( empty(powerset(cartesian_product2(X36,X37)))
| ~ relation_of2_as_subset(ordered_pair(X38,X39),X36,X37)
| in(X39,relation_rng(powerset(cartesian_product2(X36,X37))))
| ~ relation(powerset(cartesian_product2(X36,X37))) ),
inference(resolution,[],[f252,f115]) ).
fof(f1350,plain,
! [X31,X34,X35,X32,X33] :
( empty(powerset(cartesian_product2(X31,X32)))
| ~ relation_of2_as_subset(ordered_pair(X33,X34),X31,X32)
| in(X33,X35)
| relation_dom(powerset(cartesian_product2(X31,X32))) != X35
| ~ relation(powerset(cartesian_product2(X31,X32))) ),
inference(resolution,[],[f252,f94]) ).
fof(f1346,plain,
! [X24,X22,X23] :
( empty(powerset(cartesian_product2(X22,X23)))
| ~ relation_of2_as_subset(powerset(X24),X22,X23)
| ~ subset(powerset(cartesian_product2(X22,X23)),X24)
| empty(powerset(X24)) ),
inference(resolution,[],[f252,f297]) ).
fof(f1343,plain,
! [X16,X14,X15] :
( empty(powerset(cartesian_product2(X14,X15)))
| ~ relation_of2_as_subset(X16,X14,X15)
| ~ in(powerset(cartesian_product2(X14,X15)),X16) ),
inference(resolution,[],[f252,f103]) ).
fof(f252,plain,
! [X10,X11,X12] :
( in(X10,powerset(cartesian_product2(X11,X12)))
| empty(powerset(cartesian_product2(X11,X12)))
| ~ relation_of2_as_subset(X10,X11,X12) ),
inference(resolution,[],[f118,f105]) ).
fof(f1336,plain,
! [X28,X29,X27] :
( relation_dom(sK11(X27,X28)) = sK8(powerset(relation_dom(X29)))
| ~ empty(X27)
| ~ empty(X29)
| ~ relation(X29) ),
inference(resolution,[],[f1003,f1094]) ).
fof(f1335,plain,
! [X26,X24,X25,X23] :
( sK8(powerset(relation_dom(sK11(X25,X26)))) = relation_dom(sK11(X23,X24))
| ~ empty(X23)
| ~ empty(X25) ),
inference(resolution,[],[f1003,f1002]) ).
fof(f1334,plain,
! [X21,X19,X22,X20] :
( relation_dom(sK11(X19,X20)) = sK8(powerset(relation_dom(sK10(X21,X22))))
| ~ empty(X19)
| ~ empty(X21) ),
inference(resolution,[],[f1003,f776]) ).
fof(f1333,plain,
! [X18,X16,X17] :
( relation_dom(sK11(X16,X17)) = sK8(powerset(sK8(powerset(X18))))
| ~ empty(X16)
| ~ empty(X18) ),
inference(resolution,[],[f1003,f344]) ).
fof(f1332,plain,
! [X14,X15,X13] :
( relation_dom(sK11(X13,X14)) = sK8(powerset(X15))
| ~ empty(X13)
| ~ empty(X15) ),
inference(resolution,[],[f1003,f192]) ).
fof(f1330,plain,
! [X10,X8,X9] :
( relation_dom(sK11(X8,X9)) = relation_dom(X10)
| ~ empty(X8)
| ~ empty(X10)
| ~ relation(X10) ),
inference(resolution,[],[f1003,f1093]) ).
fof(f1329,plain,
! [X6,X7,X4,X5] :
( relation_dom(sK11(X6,X7)) = relation_dom(sK11(X4,X5))
| ~ empty(X4)
| ~ empty(X6) ),
inference(resolution,[],[f1003,f1001]) ).
fof(f1328,plain,
! [X2,X3,X0,X1] :
( relation_dom(sK11(X0,X1)) = relation_dom(sK10(X2,X3))
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f1003,f775]) ).
fof(f1003,plain,
! [X8,X9,X7] :
( ~ empty(X8)
| relation_dom(sK11(X7,X9)) = X8
| ~ empty(X7) ),
inference(resolution,[],[f988,f473]) ).
fof(f1244,plain,
! [X2,X3] :
( in(relation_dom(sK11(X2,X3)),powerset(X2))
| empty(powerset(X2)) ),
inference(subsumption_resolution,[],[f1243,f181]) ).
fof(f1243,plain,
! [X2,X3] :
( in(relation_dom(sK11(X2,X3)),powerset(X2))
| empty(powerset(X2))
| ~ relation_of2(sK11(X2,X3),X2,X3) ),
inference(superposition,[],[f373,f357]) ).
fof(f1318,plain,
! [X19,X20] :
( ~ relation(X19)
| ~ empty(X19)
| relation_dom(X19) = sK8(powerset(relation_dom(X20)))
| ~ empty(X20)
| ~ relation(X20) ),
inference(resolution,[],[f1143,f1094]) ).
fof(f1317,plain,
! [X18,X16,X17] :
( ~ relation(X16)
| ~ empty(X16)
| relation_dom(X16) = sK8(powerset(relation_dom(sK11(X17,X18))))
| ~ empty(X17) ),
inference(resolution,[],[f1143,f1002]) ).
fof(f1316,plain,
! [X14,X15,X13] :
( ~ relation(X13)
| ~ empty(X13)
| sK8(powerset(relation_dom(sK10(X14,X15)))) = relation_dom(X13)
| ~ empty(X14) ),
inference(resolution,[],[f1143,f776]) ).
fof(f1315,plain,
! [X11,X12] :
( ~ relation(X11)
| ~ empty(X11)
| relation_dom(X11) = sK8(powerset(sK8(powerset(X12))))
| ~ empty(X12) ),
inference(resolution,[],[f1143,f344]) ).
fof(f1314,plain,
! [X10,X9] :
( ~ relation(X9)
| ~ empty(X9)
| sK8(powerset(X10)) = relation_dom(X9)
| ~ empty(X10) ),
inference(resolution,[],[f1143,f192]) ).
fof(f1312,plain,
! [X6,X7] :
( ~ relation(X6)
| ~ empty(X6)
| relation_dom(X7) = relation_dom(X6)
| ~ empty(X7)
| ~ relation(X7) ),
inference(resolution,[],[f1143,f1093]) ).
fof(f1311,plain,
! [X3,X4,X5] :
( ~ relation(X3)
| ~ empty(X3)
| relation_dom(X3) = relation_dom(sK11(X4,X5))
| ~ empty(X4) ),
inference(resolution,[],[f1143,f1001]) ).
fof(f1310,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ empty(X0)
| relation_dom(X0) = relation_dom(sK10(X1,X2))
| ~ empty(X1) ),
inference(resolution,[],[f1143,f775]) ).
fof(f1143,plain,
! [X2,X3] :
( ~ empty(X3)
| ~ relation(X2)
| ~ empty(X2)
| relation_dom(X2) = X3 ),
inference(resolution,[],[f750,f111]) ).
fof(f1299,plain,
! [X10,X11] : ordered_pair(singleton(unordered_pair(X10,X11)),ordered_pair(X10,X11)) = unordered_pair(singleton(singleton(unordered_pair(X10,X11))),ordered_pair(unordered_pair(X10,X11),singleton(X10))),
inference(superposition,[],[f303,f213]) ).
fof(f1298,plain,
! [X8,X9] : ordered_pair(ordered_pair(X8,X9),singleton(unordered_pair(X8,X9))) = unordered_pair(singleton(ordered_pair(X8,X9)),ordered_pair(unordered_pair(X8,X9),singleton(X8))),
inference(superposition,[],[f214,f213]) ).
fof(f1297,plain,
! [X6,X7] : ordered_pair(singleton(unordered_pair(X6,X7)),ordered_pair(X6,X7)) = unordered_pair(ordered_pair(unordered_pair(X6,X7),singleton(X6)),singleton(singleton(unordered_pair(X6,X7)))),
inference(superposition,[],[f211,f213]) ).
fof(f1296,plain,
! [X4,X5] : ordered_pair(ordered_pair(X4,X5),singleton(unordered_pair(X4,X5))) = unordered_pair(ordered_pair(unordered_pair(X4,X5),singleton(X4)),singleton(ordered_pair(X4,X5))),
inference(superposition,[],[f102,f213]) ).
fof(f1295,plain,
! [X12,X13] : ordered_pair(ordered_pair(X12,X13),singleton(singleton(X12))) = unordered_pair(ordered_pair(singleton(X12),unordered_pair(X13,X12)),singleton(ordered_pair(X12,X13))),
inference(superposition,[],[f213,f303]) ).
fof(f1294,plain,
! [X10,X11] : ordered_pair(ordered_pair(X10,X11),singleton(singleton(X10))) = unordered_pair(ordered_pair(singleton(X10),unordered_pair(X10,X11)),singleton(ordered_pair(X10,X11))),
inference(superposition,[],[f213,f214]) ).
fof(f1293,plain,
! [X8,X9] : ordered_pair(ordered_pair(unordered_pair(X8,X9),singleton(X8)),singleton(ordered_pair(X8,X9))) = unordered_pair(ordered_pair(ordered_pair(X8,X9),singleton(unordered_pair(X8,X9))),singleton(ordered_pair(unordered_pair(X8,X9),singleton(X8)))),
inference(superposition,[],[f213,f213]) ).
fof(f1292,plain,
! [X6,X7] : ordered_pair(ordered_pair(X7,X6),singleton(unordered_pair(X6,X7))) = unordered_pair(ordered_pair(unordered_pair(X6,X7),singleton(X7)),singleton(ordered_pair(X7,X6))),
inference(superposition,[],[f213,f211]) ).
fof(f1291,plain,
! [X4,X5] : ordered_pair(ordered_pair(X4,X5),singleton(unordered_pair(X4,X5))) = unordered_pair(ordered_pair(unordered_pair(X4,X5),singleton(X4)),singleton(ordered_pair(X4,X5))),
inference(superposition,[],[f213,f102]) ).
fof(f1290,plain,
! [X2,X3] : ordered_pair(unordered_pair(X3,X2),singleton(X2)) = unordered_pair(ordered_pair(X2,X3),singleton(unordered_pair(X3,X2))),
inference(superposition,[],[f213,f101]) ).
fof(f1289,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f213,f101]) ).
fof(f213,plain,
! [X4,X5] : ordered_pair(unordered_pair(X4,X5),singleton(X4)) = unordered_pair(ordered_pair(X4,X5),singleton(unordered_pair(X4,X5))),
inference(superposition,[],[f102,f102]) ).
fof(f1280,plain,
! [X18] :
( ~ empty(X18)
| ~ relation(X18)
| ~ relation(sK8(powerset(relation_dom(X18))))
| empty_set = relation_dom(sK8(powerset(relation_dom(X18)))) ),
inference(resolution,[],[f1094,f1105]) ).
fof(f1279,plain,
! [X16,X17] :
( ~ empty(X16)
| ~ relation(X16)
| empty_set = relation_dom(sK11(sK8(powerset(relation_dom(X16))),X17)) ),
inference(resolution,[],[f1094,f1007]) ).
fof(f1278,plain,
! [X14,X15] :
( ~ empty(X14)
| ~ relation(X14)
| empty_set = relation_dom(sK10(sK8(powerset(sK8(powerset(relation_dom(X14))))),X15)) ),
inference(resolution,[],[f1094,f788]) ).
fof(f1277,plain,
! [X12,X13] :
( ~ empty(X12)
| ~ relation(X12)
| empty_set = relation_dom(sK10(sK8(powerset(relation_dom(X12))),X13)) ),
inference(resolution,[],[f1094,f785]) ).
fof(f1276,plain,
! [X10,X11] :
( ~ empty(X10)
| ~ relation(X10)
| empty_set = sK8(powerset(relation_dom(sK10(sK8(powerset(relation_dom(X10))),X11)))) ),
inference(resolution,[],[f1094,f783]) ).
fof(f1275,plain,
! [X8,X9,X7] :
( ~ empty(X7)
| ~ relation(X7)
| relation_dom(sK10(X8,X9)) = sK8(powerset(relation_dom(X7)))
| ~ empty(X8) ),
inference(resolution,[],[f1094,f777]) ).
fof(f1274,plain,
! [X6] :
( ~ empty(X6)
| ~ relation(X6)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(relation_dom(X6))))))) ),
inference(resolution,[],[f1094,f197]) ).
fof(f1273,plain,
! [X5] :
( ~ empty(X5)
| ~ relation(X5)
| empty_set = sK8(powerset(sK8(powerset(relation_dom(X5))))) ),
inference(resolution,[],[f1094,f194]) ).
fof(f1272,plain,
! [X3,X4] :
( ~ empty(X3)
| ~ relation(X3)
| sK8(powerset(X4)) = sK8(powerset(relation_dom(X3)))
| ~ empty(X4) ),
inference(resolution,[],[f1094,f193]) ).
fof(f1271,plain,
! [X2,X1] :
( ~ empty(X1)
| ~ relation(X1)
| sK8(powerset(relation_dom(X1))) = X2
| ~ empty(X2) ),
inference(resolution,[],[f1094,f110]) ).
fof(f1270,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| empty_set = sK8(powerset(relation_dom(X0))) ),
inference(resolution,[],[f1094,f97]) ).
fof(f1094,plain,
! [X8] :
( empty(sK8(powerset(relation_dom(X8))))
| ~ empty(X8)
| ~ relation(X8) ),
inference(resolution,[],[f1045,f325]) ).
fof(f1267,plain,
! [X28,X29] :
( ~ empty(X28)
| ~ relation(sK8(powerset(relation_dom(sK11(X28,X29)))))
| empty_set = relation_dom(sK8(powerset(relation_dom(sK11(X28,X29))))) ),
inference(resolution,[],[f1002,f1105]) ).
fof(f1266,plain,
! [X26,X27,X25] :
( ~ empty(X25)
| empty_set = relation_dom(sK11(sK8(powerset(relation_dom(sK11(X25,X26)))),X27)) ),
inference(resolution,[],[f1002,f1007]) ).
fof(f1265,plain,
! [X24,X22,X23] :
( ~ empty(X22)
| empty_set = relation_dom(sK10(sK8(powerset(sK8(powerset(relation_dom(sK11(X22,X23)))))),X24)) ),
inference(resolution,[],[f1002,f788]) ).
fof(f1264,plain,
! [X21,X19,X20] :
( ~ empty(X19)
| empty_set = relation_dom(sK10(sK8(powerset(relation_dom(sK11(X19,X20)))),X21)) ),
inference(resolution,[],[f1002,f785]) ).
fof(f1263,plain,
! [X18,X16,X17] :
( ~ empty(X16)
| empty_set = sK8(powerset(relation_dom(sK10(sK8(powerset(relation_dom(sK11(X16,X17)))),X18)))) ),
inference(resolution,[],[f1002,f783]) ).
fof(f1262,plain,
! [X14,X15,X12,X13] :
( ~ empty(X12)
| relation_dom(sK10(X13,X14)) = sK8(powerset(relation_dom(sK11(X12,X15))))
| ~ empty(X13) ),
inference(resolution,[],[f1002,f777]) ).
fof(f1261,plain,
! [X10,X11] :
( ~ empty(X10)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(relation_dom(sK11(X10,X11)))))))) ),
inference(resolution,[],[f1002,f197]) ).
fof(f1260,plain,
! [X8,X9] :
( ~ empty(X8)
| empty_set = sK8(powerset(sK8(powerset(relation_dom(sK11(X8,X9)))))) ),
inference(resolution,[],[f1002,f194]) ).
fof(f1259,plain,
! [X6,X7,X5] :
( ~ empty(X5)
| sK8(powerset(X6)) = sK8(powerset(relation_dom(sK11(X5,X7))))
| ~ empty(X6) ),
inference(resolution,[],[f1002,f193]) ).
fof(f1258,plain,
! [X2,X3,X4] :
( ~ empty(X2)
| sK8(powerset(relation_dom(sK11(X2,X4)))) = X3
| ~ empty(X3) ),
inference(resolution,[],[f1002,f110]) ).
fof(f1257,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(relation_dom(sK11(X0,X1)))) ),
inference(resolution,[],[f1002,f97]) ).
fof(f1002,plain,
! [X6,X5] :
( empty(sK8(powerset(relation_dom(sK11(X5,X6)))))
| ~ empty(X5) ),
inference(resolution,[],[f988,f325]) ).
fof(f1239,plain,
! [X16,X17,X15] :
( empty(powerset(X15))
| ~ relation_of2(X16,X15,X17)
| ~ in(powerset(X15),relation_dom_as_subset(X15,X17,X16)) ),
inference(resolution,[],[f373,f103]) ).
fof(f373,plain,
! [X16,X17,X15] :
( in(relation_dom_as_subset(X16,X17,X15),powerset(X16))
| empty(powerset(X16))
| ~ relation_of2(X15,X16,X17) ),
inference(resolution,[],[f117,f105]) ).
fof(f1166,plain,
! [X8,X7] :
( ~ relation(sK8(powerset(relation_dom(sK10(X7,X8)))))
| empty_set = relation_dom(sK8(powerset(relation_dom(sK10(X7,X8)))))
| ~ empty(X7) ),
inference(resolution,[],[f1105,f776]) ).
fof(f1165,plain,
! [X6] :
( ~ relation(sK8(powerset(sK8(powerset(X6)))))
| empty_set = relation_dom(sK8(powerset(sK8(powerset(X6)))))
| ~ empty(X6) ),
inference(resolution,[],[f1105,f344]) ).
fof(f1164,plain,
! [X5] :
( ~ relation(sK8(powerset(X5)))
| empty_set = relation_dom(sK8(powerset(X5)))
| ~ empty(X5) ),
inference(resolution,[],[f1105,f192]) ).
fof(f1162,plain,
! [X4] :
( ~ relation(relation_dom(X4))
| empty_set = relation_dom(relation_dom(X4))
| ~ empty(X4)
| ~ relation(X4) ),
inference(resolution,[],[f1105,f1093]) ).
fof(f1161,plain,
! [X2,X3] :
( ~ relation(relation_dom(sK11(X2,X3)))
| empty_set = relation_dom(relation_dom(sK11(X2,X3)))
| ~ empty(X2) ),
inference(resolution,[],[f1105,f1001]) ).
fof(f1160,plain,
! [X0,X1] :
( ~ relation(relation_dom(sK10(X0,X1)))
| empty_set = relation_dom(relation_dom(sK10(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f1105,f775]) ).
fof(f1105,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| relation_dom(X0) = empty_set ),
inference(resolution,[],[f1093,f97]) ).
fof(f1158,plain,
! [X41,X42] :
( relation_dom(X41) = sK8(powerset(X42))
| ~ relation(X41)
| ~ empty(X41)
| ~ empty(X42) ),
inference(resolution,[],[f750,f189]) ).
fof(f1157,plain,
! [X40,X39] :
( relation_dom(X39) = sK8(powerset(X40))
| ~ relation(X39)
| ~ empty(X39)
| element(sK5(X39,sK8(powerset(X40))),X40) ),
inference(resolution,[],[f750,f268]) ).
fof(f1155,plain,
! [X36,X37,X34,X35] :
( relation_dom(X34) = relation_dom_as_subset(X35,X36,X37)
| ~ relation(X34)
| ~ empty(X34)
| ~ empty(X35)
| ~ relation_of2(X37,X35,X36) ),
inference(resolution,[],[f750,f370]) ).
fof(f1154,plain,
! [X31,X32,X30,X33] :
( relation_dom(X30) = relation_dom_as_subset(X31,X32,X33)
| ~ relation(X30)
| ~ empty(X30)
| element(sK5(X30,relation_dom_as_subset(X31,X32,X33)),X31)
| ~ relation_of2(X33,X31,X32) ),
inference(resolution,[],[f750,f369]) ).
fof(f1153,plain,
! [X28,X29,X27] :
( relation_dom(X27) = relation_dom(sK11(X28,X29))
| ~ relation(X27)
| ~ empty(X27)
| ~ empty(X28) ),
inference(resolution,[],[f750,f988]) ).
fof(f1152,plain,
! [X26,X24,X25] :
( relation_dom(X24) = relation_dom(sK11(X25,X26))
| ~ relation(X24)
| ~ empty(X24)
| element(sK5(X24,relation_dom(sK11(X25,X26))),X25) ),
inference(resolution,[],[f750,f987]) ).
fof(f1151,plain,
! [X21,X22,X23] :
( relation_dom(X21) = relation_dom(sK10(X22,X23))
| ~ relation(X21)
| ~ empty(X21)
| ~ empty(X22) ),
inference(resolution,[],[f750,f768]) ).
fof(f1150,plain,
! [X18,X19,X20] :
( relation_dom(X18) = relation_dom(sK10(X19,X20))
| ~ relation(X18)
| ~ empty(X18)
| element(sK5(X18,relation_dom(sK10(X19,X20))),X19) ),
inference(resolution,[],[f750,f767]) ).
fof(f1149,plain,
( ! [X17] :
( relation_dom(sK2) = relation_dom(X17)
| ~ relation(X17)
| ~ empty(X17)
| element(sK5(X17,relation_dom(sK2)),sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f750,f382]) ).
fof(f1148,plain,
! [X16,X15] :
( relation_dom(X15) = relation_dom(X16)
| ~ relation(X15)
| ~ empty(X15)
| ~ relation(X16)
| ~ empty(X16) ),
inference(resolution,[],[f750,f1045]) ).
fof(f1147,plain,
! [X14,X12,X13] :
( powerset(cartesian_product2(X13,X14)) = relation_dom(X12)
| ~ relation(X12)
| ~ empty(X12)
| relation(sK5(X12,powerset(cartesian_product2(X13,X14)))) ),
inference(resolution,[],[f750,f177]) ).
fof(f1146,plain,
! [X10,X11] :
( powerset(X11) = relation_dom(X10)
| ~ relation(X10)
| ~ empty(X10)
| subset(sK5(X10,powerset(X11)),X11) ),
inference(resolution,[],[f750,f164]) ).
fof(f1145,plain,
! [X8,X9,X7] :
( powerset(X8) = relation_dom(X7)
| ~ relation(X7)
| ~ empty(X7)
| ~ in(X9,sK5(X7,powerset(X8)))
| ~ empty(X8) ),
inference(resolution,[],[f750,f191]) ).
fof(f1144,plain,
! [X6,X4,X5] :
( powerset(X5) = relation_dom(X4)
| ~ relation(X4)
| ~ empty(X4)
| ~ in(X6,sK5(X4,powerset(X5)))
| element(X6,X5) ),
inference(resolution,[],[f750,f271]) ).
fof(f1142,plain,
! [X0,X1] :
( relation_dom(X0) = X1
| ~ relation(X0)
| ~ empty(X0)
| ~ in(X1,sK5(X0,X1)) ),
inference(resolution,[],[f750,f103]) ).
fof(f750,plain,
! [X11,X12] :
( in(sK5(X11,X12),X12)
| relation_dom(X11) = X12
| ~ relation(X11)
| ~ empty(X11) ),
inference(resolution,[],[f95,f111]) ).
fof(f1114,plain,
! [X16,X17] :
( ~ empty(X16)
| ~ relation(X16)
| empty_set = relation_dom(sK11(relation_dom(X16),X17)) ),
inference(resolution,[],[f1093,f1007]) ).
fof(f1113,plain,
! [X14,X15] :
( ~ empty(X14)
| ~ relation(X14)
| empty_set = relation_dom(sK10(sK8(powerset(relation_dom(X14))),X15)) ),
inference(resolution,[],[f1093,f788]) ).
fof(f1112,plain,
! [X12,X13] :
( ~ empty(X12)
| ~ relation(X12)
| empty_set = relation_dom(sK10(relation_dom(X12),X13)) ),
inference(resolution,[],[f1093,f785]) ).
fof(f1111,plain,
! [X10,X11] :
( ~ empty(X10)
| ~ relation(X10)
| empty_set = sK8(powerset(relation_dom(sK10(relation_dom(X10),X11)))) ),
inference(resolution,[],[f1093,f783]) ).
fof(f1110,plain,
! [X8,X9,X7] :
( ~ empty(X7)
| ~ relation(X7)
| relation_dom(X7) = relation_dom(sK10(X8,X9))
| ~ empty(X8) ),
inference(resolution,[],[f1093,f777]) ).
fof(f1109,plain,
! [X6] :
( ~ empty(X6)
| ~ relation(X6)
| empty_set = sK8(powerset(sK8(powerset(relation_dom(X6))))) ),
inference(resolution,[],[f1093,f197]) ).
fof(f1107,plain,
! [X3,X4] :
( ~ empty(X3)
| ~ relation(X3)
| sK8(powerset(X4)) = relation_dom(X3)
| ~ empty(X4) ),
inference(resolution,[],[f1093,f193]) ).
fof(f1106,plain,
! [X2,X1] :
( ~ empty(X1)
| ~ relation(X1)
| relation_dom(X1) = X2
| ~ empty(X2) ),
inference(resolution,[],[f1093,f110]) ).
fof(f1093,plain,
! [X7] :
( empty(relation_dom(X7))
| ~ empty(X7)
| ~ relation(X7) ),
inference(resolution,[],[f1045,f169]) ).
fof(f1098,plain,
! [X16,X15] :
( ~ relation(X15)
| ~ empty(X15)
| in(sK9(relation_dom(X15),X16),X16)
| relation_dom(X15) = X16 ),
inference(resolution,[],[f1045,f106]) ).
fof(f1097,plain,
! [X14,X13] :
( ~ relation(X13)
| ~ empty(X13)
| relation_dom(X13) = X14
| ~ empty(X14) ),
inference(resolution,[],[f1045,f464]) ).
fof(f1096,plain,
! [X11,X12] :
( ~ relation(X11)
| ~ empty(X11)
| in(sK9(X12,relation_dom(X11)),X12)
| relation_dom(X11) = X12 ),
inference(resolution,[],[f1045,f106]) ).
fof(f1095,plain,
! [X10,X9] :
( ~ relation(X9)
| ~ empty(X9)
| relation_dom(X9) = X10
| ~ empty(X10) ),
inference(resolution,[],[f1045,f473]) ).
fof(f1092,plain,
! [X6,X5] :
( ~ relation(X5)
| ~ empty(X5)
| ~ in(X6,relation_dom(relation_dom(X5)))
| ~ relation(relation_dom(X5)) ),
inference(resolution,[],[f1045,f672]) ).
fof(f1091,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ empty(X3)
| relation_dom(relation_dom(X3)) = X4
| in(sK5(relation_dom(X3),X4),X4)
| ~ relation(relation_dom(X3)) ),
inference(resolution,[],[f1045,f95]) ).
fof(f1045,plain,
! [X14,X13] :
( ~ in(X13,relation_dom(X14))
| ~ relation(X14)
| ~ empty(X14) ),
inference(resolution,[],[f672,f111]) ).
fof(f1058,plain,
! [X50,X49] :
( ~ in(X49,relation_dom(sK8(powerset(X50))))
| ~ relation(sK8(powerset(X50)))
| ~ empty(X50) ),
inference(resolution,[],[f672,f189]) ).
fof(f1057,plain,
! [X48,X47] :
( ~ in(X47,relation_dom(sK8(powerset(X48))))
| ~ relation(sK8(powerset(X48)))
| element(ordered_pair(X47,sK7(sK8(powerset(X48)),X47)),X48) ),
inference(resolution,[],[f672,f268]) ).
fof(f1056,plain,
! [X46,X44,X45,X43] :
( ~ in(X43,relation_dom(relation_dom_as_subset(X44,X45,X46)))
| ~ relation(relation_dom_as_subset(X44,X45,X46))
| ~ empty(X44)
| ~ relation_of2(X46,X44,X45) ),
inference(resolution,[],[f672,f370]) ).
fof(f1055,plain,
! [X40,X41,X39,X42] :
( ~ in(X39,relation_dom(relation_dom_as_subset(X40,X41,X42)))
| ~ relation(relation_dom_as_subset(X40,X41,X42))
| element(ordered_pair(X39,sK7(relation_dom_as_subset(X40,X41,X42),X39)),X40)
| ~ relation_of2(X42,X40,X41) ),
inference(resolution,[],[f672,f369]) ).
fof(f1054,plain,
! [X38,X36,X37] :
( ~ in(X36,relation_dom(relation_dom(sK11(X37,X38))))
| ~ relation(relation_dom(sK11(X37,X38)))
| ~ empty(X37) ),
inference(resolution,[],[f672,f988]) ).
fof(f1053,plain,
! [X34,X35,X33] :
( ~ in(X33,relation_dom(relation_dom(sK11(X34,X35))))
| ~ relation(relation_dom(sK11(X34,X35)))
| element(ordered_pair(X33,sK7(relation_dom(sK11(X34,X35)),X33)),X34) ),
inference(resolution,[],[f672,f987]) ).
fof(f1052,plain,
! [X31,X32,X30] :
( ~ in(X30,relation_dom(relation_dom(sK10(X31,X32))))
| ~ relation(relation_dom(sK10(X31,X32)))
| ~ empty(X31) ),
inference(resolution,[],[f672,f768]) ).
fof(f1051,plain,
! [X28,X29,X27] :
( ~ in(X27,relation_dom(relation_dom(sK10(X28,X29))))
| ~ relation(relation_dom(sK10(X28,X29)))
| element(ordered_pair(X27,sK7(relation_dom(sK10(X28,X29)),X27)),X28) ),
inference(resolution,[],[f672,f767]) ).
fof(f1049,plain,
! [X24,X25,X23] :
( ~ in(X23,relation_dom(powerset(cartesian_product2(X24,X25))))
| ~ relation(powerset(cartesian_product2(X24,X25)))
| relation(ordered_pair(X23,sK7(powerset(cartesian_product2(X24,X25)),X23))) ),
inference(resolution,[],[f672,f177]) ).
fof(f1048,plain,
! [X21,X22] :
( ~ in(X21,relation_dom(powerset(X22)))
| ~ relation(powerset(X22))
| subset(ordered_pair(X21,sK7(powerset(X22),X21)),X22) ),
inference(resolution,[],[f672,f164]) ).
fof(f1047,plain,
! [X18,X19,X20] :
( ~ in(X18,relation_dom(powerset(X19)))
| ~ relation(powerset(X19))
| ~ in(X20,ordered_pair(X18,sK7(powerset(X19),X18)))
| ~ empty(X19) ),
inference(resolution,[],[f672,f191]) ).
fof(f1046,plain,
! [X16,X17,X15] :
( ~ in(X15,relation_dom(powerset(X16)))
| ~ relation(powerset(X16))
| ~ in(X17,ordered_pair(X15,sK7(powerset(X16),X15)))
| element(X17,X16) ),
inference(resolution,[],[f672,f271]) ).
fof(f1044,plain,
! [X11,X12] :
( ~ in(X11,relation_dom(X12))
| ~ relation(X12)
| ~ in(X12,ordered_pair(X11,sK7(X12,X11))) ),
inference(resolution,[],[f672,f103]) ).
fof(f1059,plain,
! [X8,X7] :
( ~ in(sK5(X7,X8),relation_dom(X7))
| ~ relation(X7)
| relation_dom(X7) = X8
| ~ in(sK5(X7,X8),X8) ),
inference(duplicate_literal_removal,[],[f1041]) ).
fof(f1041,plain,
! [X8,X7] :
( ~ in(sK5(X7,X8),relation_dom(X7))
| ~ relation(X7)
| relation_dom(X7) = X8
| ~ in(sK5(X7,X8),X8)
| ~ relation(X7) ),
inference(resolution,[],[f672,f96]) ).
fof(f1061,plain,
! [X3,X4] :
( ~ in(X3,relation_dom(X4))
| ~ relation(X4)
| in(sK7(X4,X3),relation_rng(X4)) ),
inference(duplicate_literal_removal,[],[f1039]) ).
fof(f1039,plain,
! [X3,X4] :
( ~ in(X3,relation_dom(X4))
| ~ relation(X4)
| in(sK7(X4,X3),relation_rng(X4))
| ~ relation(X4) ),
inference(resolution,[],[f672,f115]) ).
fof(f1062,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| in(X0,X2)
| relation_dom(X1) != X2 ),
inference(duplicate_literal_removal,[],[f1038]) ).
fof(f1038,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| in(X0,X2)
| relation_dom(X1) != X2
| ~ relation(X1) ),
inference(resolution,[],[f672,f94]) ).
fof(f1036,plain,
! [X18,X16,X17] :
( element(sK9(relation_dom(sK11(X16,X17)),X18),X16)
| in(sK9(relation_dom(sK11(X16,X17)),X18),X18)
| relation_dom(sK11(X16,X17)) = X18 ),
inference(resolution,[],[f987,f106]) ).
fof(f1035,plain,
! [X14,X15,X13] :
( element(sK9(relation_dom(sK11(X13,X14)),X15),X13)
| relation_dom(sK11(X13,X14)) = X15
| ~ empty(X15) ),
inference(resolution,[],[f987,f464]) ).
fof(f1034,plain,
! [X10,X11,X12] :
( element(sK9(X10,relation_dom(sK11(X11,X12))),X11)
| in(sK9(X10,relation_dom(sK11(X11,X12))),X10)
| relation_dom(sK11(X11,X12)) = X10 ),
inference(resolution,[],[f987,f106]) ).
fof(f1033,plain,
! [X8,X9,X7] :
( element(sK9(X7,relation_dom(sK11(X8,X9))),X8)
| relation_dom(sK11(X8,X9)) = X7
| ~ empty(X7) ),
inference(resolution,[],[f987,f473]) ).
fof(f1032,plain,
! [X6,X5] :
( element(sK8(sK8(powerset(relation_dom(sK11(X5,X6))))),X5)
| empty(sK8(powerset(relation_dom(sK11(X5,X6))))) ),
inference(resolution,[],[f987,f325]) ).
fof(f1031,plain,
! [X3,X4] :
( element(sK8(relation_dom(sK11(X3,X4))),X3)
| empty(relation_dom(sK11(X3,X4))) ),
inference(resolution,[],[f987,f169]) ).
fof(f1030,plain,
! [X2,X0,X1] :
( element(ordered_pair(sK5(relation_dom(sK11(X0,X1)),X2),sK6(relation_dom(sK11(X0,X1)),X2)),X0)
| relation_dom(relation_dom(sK11(X0,X1))) = X2
| in(sK5(relation_dom(sK11(X0,X1)),X2),X2)
| ~ relation(relation_dom(sK11(X0,X1))) ),
inference(resolution,[],[f987,f95]) ).
fof(f987,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(sK11(X0,X1)))
| element(X2,X0) ),
inference(subsumption_resolution,[],[f982,f181]) ).
fof(f982,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(sK11(X0,X1)))
| element(X2,X0)
| ~ relation_of2(sK11(X0,X1),X0,X1) ),
inference(superposition,[],[f369,f357]) ).
fof(f1021,plain,
! [X11,X12,X13] :
( empty_set = relation_dom(sK11(sK8(powerset(relation_dom(sK10(X11,X12)))),X13))
| ~ empty(X11) ),
inference(resolution,[],[f1007,f776]) ).
fof(f1020,plain,
! [X10,X9] :
( empty_set = relation_dom(sK11(sK8(powerset(sK8(powerset(X9)))),X10))
| ~ empty(X9) ),
inference(resolution,[],[f1007,f344]) ).
fof(f1017,plain,
! [X3,X4,X5] :
( empty_set = relation_dom(sK11(relation_dom(sK11(X3,X4)),X5))
| ~ empty(X3) ),
inference(resolution,[],[f1007,f1001]) ).
fof(f1016,plain,
! [X2,X0,X1] :
( empty_set = relation_dom(sK11(relation_dom(sK10(X0,X1)),X2))
| ~ empty(X0) ),
inference(resolution,[],[f1007,f775]) ).
fof(f1007,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(sK11(X0,X1)) ),
inference(resolution,[],[f1001,f97]) ).
fof(f1015,plain,
! [X24,X22,X23] :
( ~ empty(X22)
| empty_set = relation_dom(sK10(sK8(powerset(relation_dom(sK11(X22,X23)))),X24)) ),
inference(resolution,[],[f1001,f788]) ).
fof(f1014,plain,
! [X21,X19,X20] :
( ~ empty(X19)
| empty_set = relation_dom(sK10(relation_dom(sK11(X19,X20)),X21)) ),
inference(resolution,[],[f1001,f785]) ).
fof(f1013,plain,
! [X18,X16,X17] :
( ~ empty(X16)
| empty_set = sK8(powerset(relation_dom(sK10(relation_dom(sK11(X16,X17)),X18)))) ),
inference(resolution,[],[f1001,f783]) ).
fof(f1012,plain,
! [X14,X15,X12,X13] :
( ~ empty(X12)
| relation_dom(sK10(X13,X14)) = relation_dom(sK11(X12,X15))
| ~ empty(X13) ),
inference(resolution,[],[f1001,f777]) ).
fof(f1011,plain,
! [X10,X11] :
( ~ empty(X10)
| empty_set = sK8(powerset(sK8(powerset(relation_dom(sK11(X10,X11)))))) ),
inference(resolution,[],[f1001,f197]) ).
fof(f1009,plain,
! [X6,X7,X5] :
( ~ empty(X5)
| sK8(powerset(X6)) = relation_dom(sK11(X5,X7))
| ~ empty(X6) ),
inference(resolution,[],[f1001,f193]) ).
fof(f1008,plain,
! [X2,X3,X4] :
( ~ empty(X2)
| relation_dom(sK11(X2,X4)) = X3
| ~ empty(X3) ),
inference(resolution,[],[f1001,f110]) ).
fof(f1001,plain,
! [X3,X4] :
( empty(relation_dom(sK11(X3,X4)))
| ~ empty(X3) ),
inference(resolution,[],[f988,f169]) ).
fof(f1006,plain,
! [X18,X16,X17] :
( ~ empty(X16)
| in(sK9(relation_dom(sK11(X16,X17)),X18),X18)
| relation_dom(sK11(X16,X17)) = X18 ),
inference(resolution,[],[f988,f106]) ).
fof(f1005,plain,
! [X14,X15,X13] :
( ~ empty(X13)
| relation_dom(sK11(X13,X14)) = X15
| ~ empty(X15) ),
inference(resolution,[],[f988,f464]) ).
fof(f1004,plain,
! [X10,X11,X12] :
( ~ empty(X10)
| in(sK9(X11,relation_dom(sK11(X10,X12))),X11)
| relation_dom(sK11(X10,X12)) = X11 ),
inference(resolution,[],[f988,f106]) ).
fof(f1000,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_dom(sK11(X0,X1))) = X2
| in(sK5(relation_dom(sK11(X0,X1)),X2),X2)
| ~ relation(relation_dom(sK11(X0,X1))) ),
inference(resolution,[],[f988,f95]) ).
fof(f988,plain,
! [X3,X4,X5] :
( ~ in(X5,relation_dom(sK11(X3,X4)))
| ~ empty(X3) ),
inference(subsumption_resolution,[],[f983,f181]) ).
fof(f983,plain,
! [X3,X4,X5] :
( ~ in(X5,relation_dom(sK11(X3,X4)))
| ~ empty(X3)
| ~ relation_of2(sK11(X3,X4),X3,X4) ),
inference(superposition,[],[f370,f357]) ).
fof(f472,plain,
! [X0,X1] :
( ~ in(X0,sK9(X0,X1))
| X0 = X1
| in(sK9(X0,X1),X1) ),
inference(resolution,[],[f106,f103]) ).
fof(f991,plain,
! [X10,X11,X12] : relation(relation_dom(sK11(cartesian_product2(X10,X11),X12))),
inference(subsumption_resolution,[],[f986,f181]) ).
fof(f986,plain,
! [X10,X11,X12] :
( relation(relation_dom(sK11(cartesian_product2(X10,X11),X12)))
| ~ relation_of2(sK11(cartesian_product2(X10,X11),X12),cartesian_product2(X10,X11),X12) ),
inference(superposition,[],[f372,f357]) ).
fof(f999,plain,
! [X11,X12] :
( empty(powerset(X11))
| in(relation_dom(sK11(X11,X12)),powerset(X11)) ),
inference(resolution,[],[f990,f105]) ).
fof(f998,plain,
! [X10,X8,X9] : relation(relation_dom(sK11(cartesian_product2(X8,X9),X10))),
inference(resolution,[],[f990,f119]) ).
fof(f996,plain,
! [X3,X4,X5] :
( ~ empty(X3)
| ~ in(X4,relation_dom(sK11(X3,X5))) ),
inference(resolution,[],[f990,f123]) ).
fof(f995,plain,
! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,relation_dom(sK11(X1,X2))) ),
inference(resolution,[],[f990,f120]) ).
fof(f990,plain,
! [X8,X9] : element(relation_dom(sK11(X8,X9)),powerset(X8)),
inference(subsumption_resolution,[],[f985,f181]) ).
fof(f985,plain,
! [X8,X9] :
( element(relation_dom(sK11(X8,X9)),powerset(X8))
| ~ relation_of2(sK11(X8,X9),X8,X9) ),
inference(superposition,[],[f117,f357]) ).
fof(f994,plain,
! [X8,X6,X7] :
( ~ in(X6,relation_dom(sK11(X7,X8)))
| ~ empty(X7) ),
inference(resolution,[],[f989,f190]) ).
fof(f993,plain,
! [X3,X4,X5] :
( ~ in(X3,relation_dom(sK11(X4,X5)))
| element(X3,X4) ),
inference(resolution,[],[f989,f269]) ).
fof(f992,plain,
! [X2,X0,X1] : relation(relation_dom(sK11(cartesian_product2(X0,X1),X2))),
inference(resolution,[],[f989,f176]) ).
fof(f989,plain,
! [X6,X7] : subset(relation_dom(sK11(X6,X7)),X6),
inference(subsumption_resolution,[],[f984,f181]) ).
fof(f984,plain,
! [X6,X7] :
( subset(relation_dom(sK11(X6,X7)),X6)
| ~ relation_of2(sK11(X6,X7),X6,X7) ),
inference(superposition,[],[f371,f357]) ).
fof(f357,plain,
! [X2,X3] : relation_dom_as_subset(X2,X3,sK11(X2,X3)) = relation_dom(sK11(X2,X3)),
inference(resolution,[],[f116,f181]) ).
fof(f967,plain,
! [X10,X8,X9] :
( empty_set = relation_dom(sK10(sK8(powerset(sK8(powerset(relation_dom(sK10(X8,X9)))))),X10))
| ~ empty(X8) ),
inference(resolution,[],[f788,f776]) ).
fof(f966,plain,
! [X6,X7] :
( empty_set = relation_dom(sK10(sK8(powerset(sK8(powerset(sK8(powerset(X6)))))),X7))
| ~ empty(X6) ),
inference(resolution,[],[f788,f344]) ).
fof(f965,plain,
! [X4,X5] :
( empty_set = relation_dom(sK10(sK8(powerset(sK8(powerset(X4)))),X5))
| ~ empty(X4) ),
inference(resolution,[],[f788,f192]) ).
fof(f963,plain,
! [X2,X0,X1] :
( empty_set = relation_dom(sK10(sK8(powerset(relation_dom(sK10(X0,X1)))),X2))
| ~ empty(X0) ),
inference(resolution,[],[f788,f775]) ).
fof(f788,plain,
! [X4,X5] :
( ~ empty(X4)
| empty_set = relation_dom(sK10(sK8(powerset(X4)),X5)) ),
inference(resolution,[],[f785,f192]) ).
fof(f463,plain,
! [X0,X1] :
( ~ in(X1,sK9(X0,X1))
| X0 = X1
| in(sK9(X0,X1),X0) ),
inference(resolution,[],[f106,f103]) ).
fof(f956,plain,
! [X10,X8,X9] :
( empty_set = sK8(powerset(relation_dom(sK10(sK8(powerset(relation_dom(sK10(X8,X9)))),X10))))
| ~ empty(X8) ),
inference(resolution,[],[f783,f776]) ).
fof(f955,plain,
! [X6,X7] :
( empty_set = sK8(powerset(relation_dom(sK10(sK8(powerset(sK8(powerset(X6)))),X7))))
| ~ empty(X6) ),
inference(resolution,[],[f783,f344]) ).
fof(f954,plain,
! [X4,X5] :
( empty_set = sK8(powerset(relation_dom(sK10(sK8(powerset(X4)),X5))))
| ~ empty(X4) ),
inference(resolution,[],[f783,f192]) ).
fof(f952,plain,
! [X2,X0,X1] :
( empty_set = sK8(powerset(relation_dom(sK10(relation_dom(sK10(X0,X1)),X2))))
| ~ empty(X0) ),
inference(resolution,[],[f783,f775]) ).
fof(f783,plain,
! [X6,X5] :
( ~ empty(X5)
| empty_set = sK8(powerset(relation_dom(sK10(X5,X6)))) ),
inference(resolution,[],[f775,f194]) ).
fof(f941,plain,
! [X11,X12] :
( ~ in(powerset(X11),relation_dom(sK10(X11,X12)))
| empty(powerset(X11)) ),
inference(resolution,[],[f773,f103]) ).
fof(f948,plain,
! [X14,X15,X12,X13] :
( relation_dom(sK10(X12,X13)) = sK8(powerset(relation_dom(sK10(X14,X15))))
| ~ empty(X12)
| ~ empty(X14) ),
inference(resolution,[],[f777,f776]) ).
fof(f947,plain,
! [X10,X11,X9] :
( relation_dom(sK10(X9,X10)) = sK8(powerset(sK8(powerset(X11))))
| ~ empty(X9)
| ~ empty(X11) ),
inference(resolution,[],[f777,f344]) ).
fof(f946,plain,
! [X8,X6,X7] :
( relation_dom(sK10(X6,X7)) = sK8(powerset(X8))
| ~ empty(X6)
| ~ empty(X8) ),
inference(resolution,[],[f777,f192]) ).
fof(f944,plain,
! [X2,X3,X0,X1] :
( relation_dom(sK10(X0,X1)) = relation_dom(sK10(X2,X3))
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f777,f775]) ).
fof(f777,plain,
! [X8,X9,X7] :
( ~ empty(X8)
| relation_dom(sK10(X7,X9)) = X8
| ~ empty(X7) ),
inference(resolution,[],[f768,f473]) ).
fof(f773,plain,
! [X11,X12] :
( in(relation_dom(sK10(X11,X12)),powerset(X11))
| empty(powerset(X11)) ),
inference(resolution,[],[f765,f105]) ).
fof(f936,plain,
! [X2,X0,X1] :
( ~ in(X0,sK11(X1,X2))
| empty(cartesian_product2(X1,X2))
| in(X0,cartesian_product2(X1,X2)) ),
inference(resolution,[],[f799,f105]) ).
fof(f799,plain,
! [X2,X3,X1] :
( element(X1,cartesian_product2(X2,X3))
| ~ in(X1,sK11(X2,X3)) ),
inference(resolution,[],[f270,f113]) ).
fof(f372,plain,
! [X11,X14,X12,X13] :
( relation(relation_dom_as_subset(cartesian_product2(X12,X13),X14,X11))
| ~ relation_of2(X11,cartesian_product2(X12,X13),X14) ),
inference(resolution,[],[f117,f119]) ).
fof(f893,plain,
! [X24,X22,X25,X23] :
( element(sK9(relation_dom_as_subset(X22,X23,X24),X25),X22)
| ~ relation_of2(X24,X22,X23)
| in(sK9(relation_dom_as_subset(X22,X23,X24),X25),X25)
| relation_dom_as_subset(X22,X23,X24) = X25 ),
inference(resolution,[],[f369,f106]) ).
fof(f892,plain,
! [X21,X18,X19,X20] :
( element(sK9(relation_dom_as_subset(X18,X19,X20),X21),X18)
| ~ relation_of2(X20,X18,X19)
| relation_dom_as_subset(X18,X19,X20) = X21
| ~ empty(X21) ),
inference(resolution,[],[f369,f464]) ).
fof(f891,plain,
! [X16,X14,X17,X15] :
( element(sK9(X14,relation_dom_as_subset(X15,X16,X17)),X15)
| ~ relation_of2(X17,X15,X16)
| in(sK9(X14,relation_dom_as_subset(X15,X16,X17)),X14)
| relation_dom_as_subset(X15,X16,X17) = X14 ),
inference(resolution,[],[f369,f106]) ).
fof(f890,plain,
! [X10,X11,X12,X13] :
( element(sK9(X10,relation_dom_as_subset(X11,X12,X13)),X11)
| ~ relation_of2(X13,X11,X12)
| relation_dom_as_subset(X11,X12,X13) = X10
| ~ empty(X10) ),
inference(resolution,[],[f369,f473]) ).
fof(f889,plain,
! [X8,X9,X7] :
( element(sK8(sK8(powerset(relation_dom_as_subset(X7,X8,X9)))),X7)
| ~ relation_of2(X9,X7,X8)
| empty(sK8(powerset(relation_dom_as_subset(X7,X8,X9)))) ),
inference(resolution,[],[f369,f325]) ).
fof(f888,plain,
! [X6,X4,X5] :
( element(sK8(relation_dom_as_subset(X4,X5,X6)),X4)
| ~ relation_of2(X6,X4,X5)
| empty(relation_dom_as_subset(X4,X5,X6)) ),
inference(resolution,[],[f369,f169]) ).
fof(f887,plain,
! [X2,X3,X0,X1] :
( element(ordered_pair(sK5(relation_dom_as_subset(X0,X1,X2),X3),sK6(relation_dom_as_subset(X0,X1,X2),X3)),X0)
| ~ relation_of2(X2,X0,X1)
| relation_dom(relation_dom_as_subset(X0,X1,X2)) = X3
| in(sK5(relation_dom_as_subset(X0,X1,X2),X3),X3)
| ~ relation(relation_dom_as_subset(X0,X1,X2)) ),
inference(resolution,[],[f369,f95]) ).
fof(f369,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,relation_dom_as_subset(X1,X2,X0))
| element(X3,X1)
| ~ relation_of2(X0,X1,X2) ),
inference(resolution,[],[f117,f120]) ).
fof(f856,plain,
! [X24,X22,X25,X23] :
( ~ empty(X22)
| ~ relation_of2(X23,X22,X24)
| in(sK9(relation_dom_as_subset(X22,X24,X23),X25),X25)
| relation_dom_as_subset(X22,X24,X23) = X25 ),
inference(resolution,[],[f370,f106]) ).
fof(f855,plain,
! [X21,X18,X19,X20] :
( ~ empty(X18)
| ~ relation_of2(X19,X18,X20)
| relation_dom_as_subset(X18,X20,X19) = X21
| ~ empty(X21) ),
inference(resolution,[],[f370,f464]) ).
fof(f854,plain,
! [X16,X14,X17,X15] :
( ~ empty(X14)
| ~ relation_of2(X15,X14,X16)
| in(sK9(X17,relation_dom_as_subset(X14,X16,X15)),X17)
| relation_dom_as_subset(X14,X16,X15) = X17 ),
inference(resolution,[],[f370,f106]) ).
fof(f853,plain,
! [X10,X11,X12,X13] :
( ~ empty(X10)
| ~ relation_of2(X11,X10,X12)
| relation_dom_as_subset(X10,X12,X11) = X13
| ~ empty(X13) ),
inference(resolution,[],[f370,f473]) ).
fof(f852,plain,
! [X8,X9,X7] :
( ~ empty(X7)
| ~ relation_of2(X8,X7,X9)
| empty(sK8(powerset(relation_dom_as_subset(X7,X9,X8)))) ),
inference(resolution,[],[f370,f325]) ).
fof(f851,plain,
! [X6,X4,X5] :
( ~ empty(X4)
| ~ relation_of2(X5,X4,X6)
| empty(relation_dom_as_subset(X4,X6,X5)) ),
inference(resolution,[],[f370,f169]) ).
fof(f850,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X0,X2)
| relation_dom(relation_dom_as_subset(X0,X2,X1)) = X3
| in(sK5(relation_dom_as_subset(X0,X2,X1),X3),X3)
| ~ relation(relation_dom_as_subset(X0,X2,X1)) ),
inference(resolution,[],[f370,f95]) ).
fof(f370,plain,
! [X6,X7,X4,X5] :
( ~ in(X7,relation_dom_as_subset(X5,X6,X4))
| ~ empty(X5)
| ~ relation_of2(X4,X5,X6) ),
inference(resolution,[],[f117,f123]) ).
fof(f815,plain,
! [X14,X13] :
( ~ empty(X13)
| empty_set = sK8(powerset(relation_dom(sK10(X13,X14)))) ),
inference(resolution,[],[f776,f97]) ).
fof(f814,plain,
! [X10,X11,X12] :
( ~ empty(X10)
| sK8(powerset(relation_dom(sK10(X10,X12)))) = X11
| ~ empty(X11) ),
inference(resolution,[],[f776,f110]) ).
fof(f813,plain,
! [X8,X9] :
( ~ empty(X8)
| empty_set = sK8(powerset(sK8(powerset(relation_dom(sK10(X8,X9)))))) ),
inference(resolution,[],[f776,f194]) ).
fof(f812,plain,
! [X6,X7,X5] :
( ~ empty(X5)
| sK8(powerset(X6)) = sK8(powerset(relation_dom(sK10(X5,X7))))
| ~ empty(X6) ),
inference(resolution,[],[f776,f193]) ).
fof(f811,plain,
! [X3,X4] :
( ~ empty(X3)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(relation_dom(sK10(X3,X4)))))))) ),
inference(resolution,[],[f776,f197]) ).
fof(f810,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(sK10(sK8(powerset(relation_dom(sK10(X0,X1)))),X2)) ),
inference(resolution,[],[f776,f785]) ).
fof(f776,plain,
! [X6,X5] :
( empty(sK8(powerset(relation_dom(sK10(X5,X6)))))
| ~ empty(X5) ),
inference(resolution,[],[f768,f325]) ).
fof(f808,plain,
! [X18,X16,X17] :
( element(sK9(relation_dom(sK10(X16,X17)),X18),X16)
| in(sK9(relation_dom(sK10(X16,X17)),X18),X18)
| relation_dom(sK10(X16,X17)) = X18 ),
inference(resolution,[],[f767,f106]) ).
fof(f807,plain,
! [X14,X15,X13] :
( element(sK9(relation_dom(sK10(X13,X14)),X15),X13)
| relation_dom(sK10(X13,X14)) = X15
| ~ empty(X15) ),
inference(resolution,[],[f767,f464]) ).
fof(f806,plain,
! [X10,X11,X12] :
( element(sK9(X10,relation_dom(sK10(X11,X12))),X11)
| in(sK9(X10,relation_dom(sK10(X11,X12))),X10)
| relation_dom(sK10(X11,X12)) = X10 ),
inference(resolution,[],[f767,f106]) ).
fof(f805,plain,
! [X8,X9,X7] :
( element(sK9(X7,relation_dom(sK10(X8,X9))),X8)
| relation_dom(sK10(X8,X9)) = X7
| ~ empty(X7) ),
inference(resolution,[],[f767,f473]) ).
fof(f804,plain,
! [X6,X5] :
( element(sK8(sK8(powerset(relation_dom(sK10(X5,X6))))),X5)
| empty(sK8(powerset(relation_dom(sK10(X5,X6))))) ),
inference(resolution,[],[f767,f325]) ).
fof(f803,plain,
! [X3,X4] :
( element(sK8(relation_dom(sK10(X3,X4))),X3)
| empty(relation_dom(sK10(X3,X4))) ),
inference(resolution,[],[f767,f169]) ).
fof(f802,plain,
! [X2,X0,X1] :
( element(ordered_pair(sK5(relation_dom(sK10(X0,X1)),X2),sK6(relation_dom(sK10(X0,X1)),X2)),X0)
| relation_dom(relation_dom(sK10(X0,X1))) = X2
| in(sK5(relation_dom(sK10(X0,X1)),X2),X2)
| ~ relation(relation_dom(sK10(X0,X1))) ),
inference(resolution,[],[f767,f95]) ).
fof(f767,plain,
! [X3,X4,X5] :
( ~ in(X3,relation_dom(sK10(X4,X5)))
| element(X3,X4) ),
inference(resolution,[],[f764,f269]) ).
fof(f800,plain,
! [X6,X7,X4,X5] :
( ~ in(X4,X5)
| element(X4,cartesian_product2(X6,X7))
| ~ relation_of2(X5,X6,X7) ),
inference(resolution,[],[f270,f122]) ).
fof(f270,plain,
! [X8,X6,X7,X5] :
( ~ relation_of2_as_subset(X8,X6,X7)
| ~ in(X5,X8)
| element(X5,cartesian_product2(X6,X7)) ),
inference(resolution,[],[f120,f118]) ).
fof(f789,plain,
! [X6,X7] :
( empty_set = relation_dom(sK10(sK8(powerset(sK8(powerset(X6)))),X7))
| ~ empty(X6) ),
inference(resolution,[],[f785,f344]) ).
fof(f786,plain,
! [X2,X0,X1] :
( empty_set = relation_dom(sK10(relation_dom(sK10(X0,X1)),X2))
| ~ empty(X0) ),
inference(resolution,[],[f785,f775]) ).
fof(f785,plain,
! [X10,X11] :
( ~ empty(X10)
| empty_set = relation_dom(sK10(X10,X11)) ),
inference(resolution,[],[f775,f97]) ).
fof(f784,plain,
! [X8,X9,X7] :
( ~ empty(X7)
| relation_dom(sK10(X7,X9)) = X8
| ~ empty(X8) ),
inference(resolution,[],[f775,f110]) ).
fof(f782,plain,
! [X2,X3,X4] :
( ~ empty(X2)
| sK8(powerset(X3)) = relation_dom(sK10(X2,X4))
| ~ empty(X3) ),
inference(resolution,[],[f775,f193]) ).
fof(f781,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(relation_dom(sK10(X0,X1)))))) ),
inference(resolution,[],[f775,f197]) ).
fof(f775,plain,
! [X3,X4] :
( empty(relation_dom(sK10(X3,X4)))
| ~ empty(X3) ),
inference(resolution,[],[f768,f169]) ).
fof(f780,plain,
! [X18,X16,X17] :
( ~ empty(X16)
| in(sK9(relation_dom(sK10(X16,X17)),X18),X18)
| relation_dom(sK10(X16,X17)) = X18 ),
inference(resolution,[],[f768,f106]) ).
fof(f779,plain,
! [X14,X15,X13] :
( ~ empty(X13)
| relation_dom(sK10(X13,X14)) = X15
| ~ empty(X15) ),
inference(resolution,[],[f768,f464]) ).
fof(f778,plain,
! [X10,X11,X12] :
( ~ empty(X10)
| in(sK9(X11,relation_dom(sK10(X10,X12))),X11)
| relation_dom(sK10(X10,X12)) = X11 ),
inference(resolution,[],[f768,f106]) ).
fof(f774,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_dom(sK10(X0,X1))) = X2
| in(sK5(relation_dom(sK10(X0,X1)),X2),X2)
| ~ relation(relation_dom(sK10(X0,X1))) ),
inference(resolution,[],[f768,f95]) ).
fof(f768,plain,
! [X8,X6,X7] :
( ~ in(X6,relation_dom(sK10(X7,X8)))
| ~ empty(X7) ),
inference(resolution,[],[f764,f190]) ).
fof(f766,plain,
! [X2,X0,X1] : relation(relation_dom(sK10(cartesian_product2(X0,X1),X2))),
inference(resolution,[],[f764,f176]) ).
fof(f772,plain,
! [X10,X8,X9] : relation(relation_dom(sK10(cartesian_product2(X8,X9),X10))),
inference(resolution,[],[f765,f119]) ).
fof(f770,plain,
! [X3,X4,X5] :
( ~ empty(X3)
| ~ in(X4,relation_dom(sK10(X3,X5))) ),
inference(resolution,[],[f765,f123]) ).
fof(f769,plain,
! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,relation_dom(sK10(X1,X2))) ),
inference(resolution,[],[f765,f120]) ).
fof(f765,plain,
! [X2,X3] : element(relation_dom(sK10(X2,X3)),powerset(X2)),
inference(subsumption_resolution,[],[f763,f112]) ).
fof(f763,plain,
! [X2,X3] :
( element(relation_dom(sK10(X2,X3)),powerset(X2))
| ~ relation_of2(sK10(X2,X3),X2,X3) ),
inference(superposition,[],[f117,f355]) ).
fof(f764,plain,
! [X0,X1] : subset(relation_dom(sK10(X0,X1)),X0),
inference(subsumption_resolution,[],[f762,f112]) ).
fof(f762,plain,
! [X0,X1] :
( subset(relation_dom(sK10(X0,X1)),X0)
| ~ relation_of2(sK10(X0,X1),X0,X1) ),
inference(superposition,[],[f371,f355]) ).
fof(f355,plain,
! [X0,X1] : relation_dom_as_subset(X0,X1,sK10(X0,X1)) = relation_dom(sK10(X0,X1)),
inference(resolution,[],[f116,f112]) ).
fof(f250,plain,
! [X3,X6,X4,X5] :
( ~ empty(cartesian_product2(X4,X5))
| ~ relation_of2_as_subset(X3,X4,X5)
| ~ in(X6,X3) ),
inference(resolution,[],[f118,f123]) ).
fof(f757,plain,
! [X28,X27] :
( relation_dom(sK8(powerset(X27))) = X28
| in(sK5(sK8(powerset(X27)),X28),X28)
| ~ relation(sK8(powerset(X27)))
| ~ empty(X27) ),
inference(resolution,[],[f95,f189]) ).
fof(f756,plain,
! [X26,X25] :
( relation_dom(sK8(powerset(X25))) = X26
| in(sK5(sK8(powerset(X25)),X26),X26)
| ~ relation(sK8(powerset(X25)))
| element(ordered_pair(sK5(sK8(powerset(X25)),X26),sK6(sK8(powerset(X25)),X26)),X25) ),
inference(resolution,[],[f95,f268]) ).
fof(f754,plain,
! [X21,X22,X23] :
( relation_dom(powerset(cartesian_product2(X21,X22))) = X23
| in(sK5(powerset(cartesian_product2(X21,X22)),X23),X23)
| ~ relation(powerset(cartesian_product2(X21,X22)))
| relation(ordered_pair(sK5(powerset(cartesian_product2(X21,X22)),X23),sK6(powerset(cartesian_product2(X21,X22)),X23))) ),
inference(resolution,[],[f95,f177]) ).
fof(f753,plain,
! [X19,X20] :
( relation_dom(powerset(X19)) = X20
| in(sK5(powerset(X19),X20),X20)
| ~ relation(powerset(X19))
| subset(ordered_pair(sK5(powerset(X19),X20),sK6(powerset(X19),X20)),X19) ),
inference(resolution,[],[f95,f164]) ).
fof(f752,plain,
! [X18,X16,X17] :
( relation_dom(powerset(X16)) = X17
| in(sK5(powerset(X16),X17),X17)
| ~ relation(powerset(X16))
| ~ in(X18,ordered_pair(sK5(powerset(X16),X17),sK6(powerset(X16),X17)))
| ~ empty(X16) ),
inference(resolution,[],[f95,f191]) ).
fof(f751,plain,
! [X14,X15,X13] :
( relation_dom(powerset(X13)) = X14
| in(sK5(powerset(X13),X14),X14)
| ~ relation(powerset(X13))
| ~ in(X15,ordered_pair(sK5(powerset(X13),X14),sK6(powerset(X13),X14)))
| element(X15,X13) ),
inference(resolution,[],[f95,f271]) ).
fof(f95,plain,
! [X0,X1] :
( in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
| relation_dom(X0) = X1
| in(sK5(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f723,plain,
! [X2,X3] :
( ~ in(X3,sK9(X2,X3))
| ~ empty(X2)
| X2 = X3 ),
inference(resolution,[],[f473,f103]) ).
fof(f702,plain,
! [X2,X1] :
( ~ in(X1,sK9(X1,X2))
| ~ empty(X2)
| X1 = X2 ),
inference(resolution,[],[f464,f103]) ).
fof(f729,plain,
( ! [X17] :
( element(sK9(X17,relation_dom(sK2)),sK1)
| ~ empty(X17)
| relation_dom(sK2) = X17 )
| ~ spl14_18 ),
inference(resolution,[],[f473,f382]) ).
fof(f730,plain,
! [X18,X19] :
( sK8(powerset(X19)) = X18
| ~ empty(X18)
| element(sK9(X18,sK8(powerset(X19))),X19) ),
inference(resolution,[],[f473,f268]) ).
fof(f728,plain,
! [X16,X14,X15] :
( powerset(cartesian_product2(X15,X16)) = X14
| ~ empty(X14)
| relation(sK9(X14,powerset(cartesian_product2(X15,X16)))) ),
inference(resolution,[],[f473,f177]) ).
fof(f727,plain,
! [X12,X13] :
( powerset(X13) = X12
| ~ empty(X12)
| subset(sK9(X12,powerset(X13)),X13) ),
inference(resolution,[],[f473,f164]) ).
fof(f726,plain,
! [X10,X11,X9] :
( powerset(X10) = X9
| ~ empty(X9)
| ~ in(X11,sK9(X9,powerset(X10)))
| ~ empty(X10) ),
inference(resolution,[],[f473,f191]) ).
fof(f725,plain,
! [X8,X6,X7] :
( powerset(X7) = X6
| ~ empty(X6)
| ~ in(X8,sK9(X6,powerset(X7)))
| element(X8,X7) ),
inference(resolution,[],[f473,f271]) ).
fof(f473,plain,
! [X2,X3] :
( in(sK9(X2,X3),X3)
| X2 = X3
| ~ empty(X2) ),
inference(resolution,[],[f106,f111]) ).
fof(f719,plain,
! [X2,X3,X1] :
( relation_dom(powerset(X1)) = X2
| ~ in(sK5(powerset(X1),X2),X2)
| ~ relation(powerset(X1))
| empty(powerset(X1))
| ~ subset(ordered_pair(sK5(powerset(X1),X2),X3),X1) ),
inference(resolution,[],[f96,f171]) ).
fof(f96,plain,
! [X3,X0,X1] :
( ~ in(ordered_pair(sK5(X0,X1),X3),X0)
| relation_dom(X0) = X1
| ~ in(sK5(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f708,plain,
( ! [X16] :
( element(sK9(relation_dom(sK2),X16),sK1)
| ~ empty(X16)
| relation_dom(sK2) = X16 )
| ~ spl14_18 ),
inference(resolution,[],[f464,f382]) ).
fof(f709,plain,
! [X18,X17] :
( sK8(powerset(X17)) = X18
| ~ empty(X18)
| element(sK9(sK8(powerset(X17)),X18),X17) ),
inference(resolution,[],[f464,f268]) ).
fof(f707,plain,
! [X14,X15,X13] :
( powerset(cartesian_product2(X13,X14)) = X15
| ~ empty(X15)
| relation(sK9(powerset(cartesian_product2(X13,X14)),X15)) ),
inference(resolution,[],[f464,f177]) ).
fof(f706,plain,
! [X11,X12] :
( powerset(X11) = X12
| ~ empty(X12)
| subset(sK9(powerset(X11),X12),X11) ),
inference(resolution,[],[f464,f164]) ).
fof(f705,plain,
! [X10,X8,X9] :
( powerset(X8) = X9
| ~ empty(X9)
| ~ in(X10,sK9(powerset(X8),X9))
| ~ empty(X8) ),
inference(resolution,[],[f464,f191]) ).
fof(f704,plain,
! [X6,X7,X5] :
( powerset(X5) = X6
| ~ empty(X6)
| ~ in(X7,sK9(powerset(X5),X6))
| element(X7,X5) ),
inference(resolution,[],[f464,f271]) ).
fof(f464,plain,
! [X2,X3] :
( in(sK9(X2,X3),X2)
| X2 = X3
| ~ empty(X3) ),
inference(resolution,[],[f106,f111]) ).
fof(f699,plain,
! [X10,X11,X8,X9] :
( ~ relation_of2(X8,X9,X10)
| ~ in(X11,relation_dom_as_subset(X9,X10,X8))
| ~ empty(X9) ),
inference(resolution,[],[f371,f190]) ).
fof(f698,plain,
! [X6,X7,X4,X5] :
( ~ relation_of2(X4,X5,X6)
| ~ in(X7,relation_dom_as_subset(X5,X6,X4))
| element(X7,X5) ),
inference(resolution,[],[f371,f269]) ).
fof(f697,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X0,cartesian_product2(X1,X2),X3)
| relation(relation_dom_as_subset(cartesian_product2(X1,X2),X3,X0)) ),
inference(resolution,[],[f371,f176]) ).
fof(f371,plain,
! [X10,X8,X9] :
( subset(relation_dom_as_subset(X9,X10,X8),X9)
| ~ relation_of2(X8,X9,X10) ),
inference(resolution,[],[f117,f108]) ).
fof(f402,plain,
( element(sK8(sK8(powerset(relation_dom(sK2)))),sK1)
| empty(sK8(powerset(relation_dom(sK2))))
| ~ spl14_18 ),
inference(resolution,[],[f382,f325]) ).
fof(f642,plain,
! [X2,X3,X4,X5] :
( in(X2,X3)
| relation_dom(powerset(X4)) != X3
| ~ relation(powerset(X4))
| empty(powerset(X4))
| ~ subset(ordered_pair(X2,X5),X4) ),
inference(resolution,[],[f94,f171]) ).
fof(f94,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f514,plain,
! [X3,X4] :
( powerset(X4) = X3
| ~ in(sK9(X3,powerset(X4)),X3)
| empty(powerset(X4))
| ~ subset(sK9(X3,powerset(X4)),X4) ),
inference(resolution,[],[f107,f171]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in(sK9(X0,X1),X1)
| X0 = X1
| ~ in(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK9(X0,X1),X1)
| ~ in(sK9(X0,X1),X0) )
& ( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK9(X0,X1),X1)
| ~ in(sK9(X0,X1),X0) )
& ( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t2_tarski) ).
fof(f401,plain,
( element(sK8(relation_dom(sK2)),sK1)
| empty(relation_dom(sK2))
| ~ spl14_18 ),
inference(resolution,[],[f382,f169]) ).
fof(f480,plain,
! [X18,X19] :
( in(sK9(sK8(powerset(X18)),X19),X19)
| sK8(powerset(X18)) = X19
| ~ empty(X18) ),
inference(resolution,[],[f106,f189]) ).
fof(f479,plain,
! [X16,X17] :
( in(sK9(sK8(powerset(X16)),X17),X17)
| sK8(powerset(X16)) = X17
| element(sK9(sK8(powerset(X16)),X17),X16) ),
inference(resolution,[],[f106,f268]) ).
fof(f478,plain,
( ! [X15] :
( in(sK9(relation_dom(sK2),X15),X15)
| relation_dom(sK2) = X15
| element(sK9(relation_dom(sK2),X15),sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f106,f382]) ).
fof(f477,plain,
! [X14,X12,X13] :
( in(sK9(powerset(cartesian_product2(X12,X13)),X14),X14)
| powerset(cartesian_product2(X12,X13)) = X14
| relation(sK9(powerset(cartesian_product2(X12,X13)),X14)) ),
inference(resolution,[],[f106,f177]) ).
fof(f476,plain,
! [X10,X11] :
( in(sK9(powerset(X10),X11),X11)
| powerset(X10) = X11
| subset(sK9(powerset(X10),X11),X10) ),
inference(resolution,[],[f106,f164]) ).
fof(f475,plain,
! [X8,X9,X7] :
( in(sK9(powerset(X7),X8),X8)
| powerset(X7) = X8
| ~ in(X9,sK9(powerset(X7),X8))
| ~ empty(X7) ),
inference(resolution,[],[f106,f191]) ).
fof(f474,plain,
! [X6,X4,X5] :
( in(sK9(powerset(X4),X5),X5)
| powerset(X4) = X5
| ~ in(X6,sK9(powerset(X4),X5))
| element(X6,X4) ),
inference(resolution,[],[f106,f271]) ).
fof(f471,plain,
! [X18,X19] :
( in(sK9(X18,sK8(powerset(X19))),X18)
| sK8(powerset(X19)) = X18
| ~ empty(X19) ),
inference(resolution,[],[f106,f189]) ).
fof(f470,plain,
! [X16,X17] :
( in(sK9(X16,sK8(powerset(X17))),X16)
| sK8(powerset(X17)) = X16
| element(sK9(X16,sK8(powerset(X17))),X17) ),
inference(resolution,[],[f106,f268]) ).
fof(f469,plain,
( ! [X15] :
( in(sK9(X15,relation_dom(sK2)),X15)
| relation_dom(sK2) = X15
| element(sK9(X15,relation_dom(sK2)),sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f106,f382]) ).
fof(f468,plain,
! [X14,X12,X13] :
( in(sK9(X12,powerset(cartesian_product2(X13,X14))),X12)
| powerset(cartesian_product2(X13,X14)) = X12
| relation(sK9(X12,powerset(cartesian_product2(X13,X14)))) ),
inference(resolution,[],[f106,f177]) ).
fof(f467,plain,
! [X10,X11] :
( in(sK9(X10,powerset(X11)),X10)
| powerset(X11) = X10
| subset(sK9(X10,powerset(X11)),X11) ),
inference(resolution,[],[f106,f164]) ).
fof(f466,plain,
! [X8,X9,X7] :
( in(sK9(X7,powerset(X8)),X7)
| powerset(X8) = X7
| ~ in(X9,sK9(X7,powerset(X8)))
| ~ empty(X8) ),
inference(resolution,[],[f106,f191]) ).
fof(f465,plain,
! [X6,X4,X5] :
( in(sK9(X4,powerset(X5)),X4)
| powerset(X5) = X4
| ~ in(X6,sK9(X4,powerset(X5)))
| element(X6,X5) ),
inference(resolution,[],[f106,f271]) ).
fof(f106,plain,
! [X0,X1] :
( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f385,plain,
( empty(powerset(sK1))
| in(relation_dom(sK2),powerset(sK1))
| ~ spl14_18 ),
inference(resolution,[],[f379,f105]) ).
fof(f382,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sK2))
| element(X0,sK1) )
| ~ spl14_18 ),
inference(resolution,[],[f379,f120]) ).
fof(f383,plain,
( ! [X1] :
( ~ empty(sK1)
| ~ in(X1,relation_dom(sK2)) )
| ~ spl14_18 ),
inference(resolution,[],[f379,f123]) ).
fof(f384,plain,
( subset(relation_dom(sK2),sK1)
| ~ spl14_18 ),
inference(resolution,[],[f379,f108]) ).
fof(f117,plain,
! [X2,X0,X1] :
( element(relation_dom_as_subset(X0,X1,X2),powerset(X0))
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( element(relation_dom_as_subset(X0,X1,X2),powerset(X0))
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,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.diFaCk6imN/Vampire---4.8_23893',dt_k4_relset_1) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,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.diFaCk6imN/Vampire---4.8_23893',redefinition_k4_relset_1) ).
fof(f337,plain,
! [X0] :
( ~ in(X0,sK8(sK8(powerset(X0))))
| empty(sK8(powerset(X0))) ),
inference(resolution,[],[f325,f103]) ).
fof(f350,plain,
! [X4,X5] :
( ~ empty(X4)
| sK8(powerset(sK8(powerset(X4)))) = X5
| ~ empty(X5) ),
inference(resolution,[],[f344,f110]) ).
fof(f349,plain,
! [X3] :
( ~ empty(X3)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(X3)))))) ),
inference(resolution,[],[f344,f194]) ).
fof(f348,plain,
! [X2,X1] :
( ~ empty(X1)
| sK8(powerset(X2)) = sK8(powerset(sK8(powerset(X1))))
| ~ empty(X2) ),
inference(resolution,[],[f344,f193]) ).
fof(f347,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(sK8(powerset(X0)))))))) ),
inference(resolution,[],[f344,f197]) ).
fof(f344,plain,
! [X10] :
( empty(sK8(powerset(sK8(powerset(X10)))))
| ~ empty(X10) ),
inference(resolution,[],[f325,f189]) ).
fof(f343,plain,
! [X9] :
( empty(sK8(powerset(sK8(powerset(X9)))))
| element(sK8(sK8(powerset(sK8(powerset(X9))))),X9) ),
inference(resolution,[],[f325,f268]) ).
fof(f342,plain,
! [X8,X7] :
( empty(sK8(powerset(powerset(cartesian_product2(X7,X8)))))
| relation(sK8(sK8(powerset(powerset(cartesian_product2(X7,X8)))))) ),
inference(resolution,[],[f325,f177]) ).
fof(f341,plain,
! [X6] :
( empty(sK8(powerset(powerset(X6))))
| subset(sK8(sK8(powerset(powerset(X6)))),X6) ),
inference(resolution,[],[f325,f164]) ).
fof(f340,plain,
! [X4,X5] :
( empty(sK8(powerset(powerset(X4))))
| ~ in(X5,sK8(sK8(powerset(powerset(X4)))))
| ~ empty(X4) ),
inference(resolution,[],[f325,f191]) ).
fof(f339,plain,
! [X2,X3] :
( empty(sK8(powerset(powerset(X2))))
| ~ in(X3,sK8(sK8(powerset(powerset(X2)))))
| element(X3,X2) ),
inference(resolution,[],[f325,f271]) ).
fof(f325,plain,
! [X7] :
( in(sK8(sK8(powerset(X7))),X7)
| empty(sK8(powerset(X7))) ),
inference(subsumption_resolution,[],[f323,f192]) ).
fof(f323,plain,
! [X7] :
( empty(sK8(powerset(X7)))
| empty(X7)
| in(sK8(sK8(powerset(X7))),X7) ),
inference(resolution,[],[f275,f105]) ).
fof(f336,plain,
! [X2,X0,X1] :
( in(X0,relation_rng(powerset(X1)))
| ~ relation(powerset(X1))
| empty(powerset(X1))
| ~ subset(ordered_pair(X2,X0),X1) ),
inference(resolution,[],[f115,f171]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t20_relat_1) ).
fof(f335,plain,
! [X6,X5] : ordered_pair(singleton(X5),unordered_pair(X6,X5)) = unordered_pair(ordered_pair(X5,X6),singleton(singleton(X5))),
inference(superposition,[],[f102,f303]) ).
fof(f334,plain,
! [X3,X4] : ordered_pair(unordered_pair(X4,X3),singleton(X3)) = unordered_pair(ordered_pair(X3,X4),singleton(unordered_pair(X4,X3))),
inference(superposition,[],[f211,f303]) ).
fof(f333,plain,
! [X2,X1] : ordered_pair(singleton(X1),unordered_pair(X2,X1)) = unordered_pair(singleton(singleton(X1)),ordered_pair(X1,X2)),
inference(superposition,[],[f214,f303]) ).
fof(f332,plain,
! [X10,X11] : ordered_pair(unordered_pair(X11,X10),singleton(X10)) = unordered_pair(singleton(unordered_pair(X11,X10)),ordered_pair(X10,X11)),
inference(superposition,[],[f303,f303]) ).
fof(f331,plain,
! [X8,X9] : ordered_pair(unordered_pair(X8,X9),singleton(X8)) = unordered_pair(singleton(unordered_pair(X8,X9)),ordered_pair(X8,X9)),
inference(superposition,[],[f303,f214]) ).
fof(f330,plain,
! [X6,X7] : ordered_pair(singleton(X7),unordered_pair(X6,X7)) = unordered_pair(singleton(singleton(X7)),ordered_pair(X7,X6)),
inference(superposition,[],[f303,f211]) ).
fof(f329,plain,
! [X4,X5] : ordered_pair(singleton(X4),unordered_pair(X4,X5)) = unordered_pair(singleton(singleton(X4)),ordered_pair(X4,X5)),
inference(superposition,[],[f303,f102]) ).
fof(f303,plain,
! [X3,X4] : unordered_pair(singleton(X4),unordered_pair(X3,X4)) = ordered_pair(X4,X3),
inference(superposition,[],[f211,f101]) ).
fof(f326,plain,
! [X0,X1] :
( ~ subset(powerset(X0),X1)
| empty(powerset(X1))
| empty(powerset(X0))
| ~ subset(powerset(X1),X0) ),
inference(resolution,[],[f297,f171]) ).
fof(f297,plain,
! [X8,X9] :
( ~ in(powerset(X8),X9)
| ~ subset(X9,X8)
| empty(powerset(X8)) ),
inference(resolution,[],[f171,f103]) ).
fof(f322,plain,
! [X6,X5] :
( empty(sK8(powerset(powerset(cartesian_product2(X5,X6)))))
| relation(sK8(sK8(powerset(powerset(cartesian_product2(X5,X6)))))) ),
inference(resolution,[],[f275,f119]) ).
fof(f321,plain,
! [X4] :
( empty(sK8(powerset(powerset(X4))))
| subset(sK8(sK8(powerset(powerset(X4)))),X4) ),
inference(resolution,[],[f275,f108]) ).
fof(f320,plain,
! [X2,X3] :
( empty(sK8(powerset(powerset(X2))))
| ~ empty(X2)
| ~ in(X3,sK8(sK8(powerset(powerset(X2))))) ),
inference(resolution,[],[f275,f123]) ).
fof(f319,plain,
! [X0,X1] :
( empty(sK8(powerset(powerset(X0))))
| element(X1,X0)
| ~ in(X1,sK8(sK8(powerset(powerset(X0))))) ),
inference(resolution,[],[f275,f120]) ).
fof(f275,plain,
! [X0] :
( element(sK8(sK8(powerset(X0))),X0)
| empty(sK8(powerset(X0))) ),
inference(resolution,[],[f268,f169]) ).
fof(f271,plain,
! [X10,X11,X9] :
( ~ in(X11,powerset(X10))
| ~ in(X9,X11)
| element(X9,X10) ),
inference(resolution,[],[f120,f104]) ).
fof(f315,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(powerset(X1)))
| ~ relation(powerset(X1))
| empty(powerset(X1))
| ~ subset(ordered_pair(X0,X2),X1) ),
inference(resolution,[],[f114,f171]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f314,plain,
! [X2,X3] : ordered_pair(singleton(X2),unordered_pair(X2,X3)) = unordered_pair(ordered_pair(X2,X3),singleton(singleton(X2))),
inference(superposition,[],[f102,f214]) ).
fof(f313,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f211,f214]) ).
fof(f312,plain,
! [X8,X9] : ordered_pair(singleton(X8),unordered_pair(X8,X9)) = unordered_pair(singleton(singleton(X8)),ordered_pair(X8,X9)),
inference(superposition,[],[f214,f214]) ).
fof(f311,plain,
! [X6,X7] : ordered_pair(unordered_pair(X6,X7),singleton(X7)) = unordered_pair(singleton(unordered_pair(X6,X7)),ordered_pair(X7,X6)),
inference(superposition,[],[f214,f211]) ).
fof(f310,plain,
! [X4,X5] : ordered_pair(unordered_pair(X4,X5),singleton(X4)) = unordered_pair(singleton(unordered_pair(X4,X5)),ordered_pair(X4,X5)),
inference(superposition,[],[f214,f102]) ).
fof(f309,plain,
! [X2,X3] : ordered_pair(X2,X3) = unordered_pair(singleton(X2),unordered_pair(X3,X2)),
inference(superposition,[],[f214,f101]) ).
fof(f308,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f214,f101]) ).
fof(f214,plain,
! [X2,X3] : ordered_pair(X2,X3) = unordered_pair(singleton(X2),unordered_pair(X2,X3)),
inference(superposition,[],[f102,f101]) ).
fof(f307,plain,
! [X6,X5] : unordered_pair(singleton(X6),unordered_pair(X5,X6)) = ordered_pair(X6,X5),
inference(superposition,[],[f101,f211]) ).
fof(f306,plain,
! [X3,X4] : unordered_pair(singleton(X4),unordered_pair(X3,X4)) = ordered_pair(X4,X3),
inference(superposition,[],[f101,f211]) ).
fof(f305,plain,
! [X2,X1] : ordered_pair(unordered_pair(X1,X2),singleton(X2)) = unordered_pair(ordered_pair(X2,X1),singleton(unordered_pair(X1,X2))),
inference(superposition,[],[f102,f211]) ).
fof(f304,plain,
! [X6,X5] : unordered_pair(singleton(X6),unordered_pair(X5,X6)) = ordered_pair(X6,X5),
inference(superposition,[],[f211,f101]) ).
fof(f302,plain,
! [X6,X7] : ordered_pair(singleton(X7),unordered_pair(X6,X7)) = unordered_pair(ordered_pair(X7,X6),singleton(singleton(X7))),
inference(superposition,[],[f211,f211]) ).
fof(f301,plain,
! [X4,X5] : ordered_pair(singleton(X4),unordered_pair(X4,X5)) = unordered_pair(ordered_pair(X4,X5),singleton(singleton(X4))),
inference(superposition,[],[f211,f102]) ).
fof(f211,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f102,f101]) ).
fof(f171,plain,
! [X3,X4] :
( in(X4,powerset(X3))
| empty(powerset(X3))
| ~ subset(X4,X3) ),
inference(resolution,[],[f105,f109]) ).
fof(f289,plain,
! [X0] :
( empty_set = sK8(powerset(sK8(powerset(sK8(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f197,f192]) ).
fof(f197,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(X0)))) ),
inference(resolution,[],[f194,f192]) ).
fof(f285,plain,
! [X2,X1] :
( sK8(powerset(X2)) = sK8(powerset(X1))
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f193,f192]) ).
fof(f193,plain,
! [X0,X1] :
( ~ empty(X1)
| sK8(powerset(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f192,f110]) ).
fof(f283,plain,
! [X6,X7,X4,X5] :
( ~ in(X4,X5)
| element(X4,cartesian_product2(X6,X7))
| ~ relation_of2_as_subset(X5,X6,X7) ),
inference(resolution,[],[f269,f251]) ).
fof(f269,plain,
! [X2,X3,X4] :
( ~ subset(X4,X3)
| ~ in(X2,X4)
| element(X2,X3) ),
inference(resolution,[],[f120,f109]) ).
fof(f280,plain,
! [X3,X6,X4,X5] :
( ~ relation_of2_as_subset(X3,X4,X5)
| ~ in(X6,X3)
| ~ empty(cartesian_product2(X4,X5)) ),
inference(resolution,[],[f251,f190]) ).
fof(f251,plain,
! [X8,X9,X7] :
( subset(X7,cartesian_product2(X8,X9))
| ~ relation_of2_as_subset(X7,X8,X9) ),
inference(resolution,[],[f118,f108]) ).
fof(f191,plain,
! [X6,X7,X5] :
( ~ in(X7,powerset(X5))
| ~ in(X6,X7)
| ~ empty(X5) ),
inference(resolution,[],[f123,f104]) ).
fof(f268,plain,
! [X0,X1] :
( ~ in(X0,sK8(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f120,f98]) ).
fof(f190,plain,
! [X2,X3,X4] :
( ~ subset(X4,X2)
| ~ in(X3,X4)
| ~ empty(X2) ),
inference(resolution,[],[f123,f109]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t4_subset) ).
fof(f265,plain,
! [X0,X1] : relation(sK10(X0,X1)),
inference(resolution,[],[f259,f112]) ).
fof(f259,plain,
! [X2,X3,X4] :
( ~ relation_of2(X2,X3,X4)
| relation(X2) ),
inference(resolution,[],[f249,f122]) ).
fof(f258,plain,
! [X0,X1] : relation(sK11(X0,X1)),
inference(resolution,[],[f249,f113]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f118,f119]) ).
fof(f118,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',dt_m2_relset_1) ).
fof(f217,plain,
! [X2,X3] : ordered_pair(X2,X3) = unordered_pair(singleton(X2),unordered_pair(X2,X3)),
inference(superposition,[],[f101,f102]) ).
fof(f216,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f101,f102]) ).
fof(f215,plain,
! [X4,X5] : ordered_pair(X4,X5) = unordered_pair(singleton(X4),unordered_pair(X4,X5)),
inference(superposition,[],[f102,f101]) ).
fof(f212,plain,
! [X2,X3] : ordered_pair(X2,X3) = unordered_pair(unordered_pair(X3,X2),singleton(X2)),
inference(superposition,[],[f102,f101]) ).
fof(f102,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',d5_tarski) ).
fof(f194,plain,
! [X2] :
( ~ empty(X2)
| empty_set = sK8(powerset(X2)) ),
inference(resolution,[],[f192,f97]) ).
fof(f192,plain,
! [X0] :
( empty(sK8(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f189,f169]) ).
fof(f189,plain,
! [X0,X1] :
( ~ in(X1,sK8(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f123,f98]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t5_subset) ).
fof(f177,plain,
! [X6,X7,X5] :
( ~ in(X5,powerset(cartesian_product2(X6,X7)))
| relation(X5) ),
inference(resolution,[],[f119,f104]) ).
fof(f181,plain,
! [X0,X1] : relation_of2(sK11(X0,X1),X0,X1),
inference(resolution,[],[f121,f113]) ).
fof(f122,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,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,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',redefinition_m2_relset_1) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f178,plain,
! [X0,X1] : relation(cartesian_product2(X0,X1)),
inference(resolution,[],[f176,f99]) ).
fof(f176,plain,
! [X2,X3,X4] :
( ~ subset(X2,cartesian_product2(X3,X4))
| relation(X2) ),
inference(resolution,[],[f119,f109]) ).
fof(f175,plain,
! [X0,X1] : relation(sK8(powerset(cartesian_product2(X0,X1)))),
inference(resolution,[],[f119,f98]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',cc1_relset_1) ).
fof(f172,plain,
! [X0] :
( ~ in(X0,sK8(X0))
| empty(X0) ),
inference(resolution,[],[f169,f103]) ).
fof(f169,plain,
! [X0] :
( in(sK8(X0),X0)
| empty(X0) ),
inference(resolution,[],[f105,f98]) ).
fof(f164,plain,
! [X2,X1] :
( ~ in(X1,powerset(X2))
| subset(X1,X2) ),
inference(resolution,[],[f108,f104]) ).
fof(f110,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t8_boole) ).
fof(f109,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t3_subset) ).
fof(f163,plain,
! [X0] : subset(sK8(powerset(X0)),X0),
inference(resolution,[],[f108,f98]) ).
fof(f108,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f101,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',commutativity_k2_tarski) ).
fof(f90,plain,
( sK1 != relation_dom_as_subset(sK1,sK0,sK2)
| in(sK3,sK1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f113,plain,
! [X0,X1] : relation_of2_as_subset(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] : relation_of2_as_subset(sK11(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f20,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X2] : relation_of2_as_subset(X2,X0,X1)
=> relation_of2_as_subset(sK11(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
! [X0,X1] :
? [X2] : relation_of2_as_subset(X2,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',existence_m2_relset_1) ).
fof(f112,plain,
! [X0,X1] : relation_of2(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] : relation_of2(sK10(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f18,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X2] : relation_of2(X2,X0,X1)
=> relation_of2(sK10(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f18,axiom,
! [X0,X1] :
? [X2] : relation_of2(X2,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',existence_m1_relset_1) ).
fof(f104,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t1_subset) ).
fof(f103,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',antisymmetry_r2_hidden) ).
fof(f111,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t7_boole) ).
fof(f97,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',t6_boole) ).
fof(f100,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',fc1_zfmisc_1) ).
fof(f98,plain,
! [X0] : element(sK8(X0),X0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : element(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f19,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',existence_m1_subset_1) ).
fof(f88,plain,
relation_of2_as_subset(sK2,sK1,sK0),
inference(cnf_transformation,[],[f66]) ).
fof(f99,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',reflexivity_r1_tarski) ).
fof(f125,plain,
empty(sK13),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
empty(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f23,f86]) ).
fof(f86,plain,
( ? [X0] : empty(X0)
=> empty(sK13) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',rc1_xboole_0) ).
fof(f124,plain,
~ empty(sK12),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
~ empty(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f24,f84]) ).
fof(f84,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK12) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',rc2_xboole_0) ).
fof(f92,plain,
empty(empty_set),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/tmp.diFaCk6imN/Vampire---4.8_23893',fc1_xboole_0) ).
fof(f89,plain,
! [X5] :
( sK1 = relation_dom_as_subset(sK1,sK0,sK2)
| in(ordered_pair(X5,sK4(X5)),sK2)
| ~ in(X5,sK1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f1839,plain,
( ~ spl14_86
| ~ spl14_17
| spl14_45 ),
inference(avatar_split_clause,[],[f1808,f738,f365,f1836]) ).
fof(f1836,plain,
( spl14_86
<=> relation(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
fof(f738,plain,
( spl14_45
<=> relation(relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
fof(f1808,plain,
( ~ relation(sK1)
| ~ spl14_17
| spl14_45 ),
inference(superposition,[],[f740,f366]) ).
fof(f740,plain,
( ~ relation(relation_dom(sK2))
| spl14_45 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f1784,plain,
( ~ spl14_85
| ~ spl14_6 ),
inference(avatar_split_clause,[],[f1778,f155,f1781]) ).
fof(f1781,plain,
( spl14_85
<=> in(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
fof(f1778,plain,
( ~ in(sK1,sK3)
| ~ spl14_6 ),
inference(resolution,[],[f157,f103]) ).
fof(f1774,plain,
( spl14_21
| spl14_82
| ~ spl14_84 ),
inference(avatar_contradiction_clause,[],[f1773]) ).
fof(f1773,plain,
( $false
| spl14_21
| spl14_82
| ~ spl14_84 ),
inference(subsumption_resolution,[],[f1772,f1721]) ).
fof(f1772,plain,
( in(sK5(sK2,sK1),sK1)
| spl14_21
| ~ spl14_84 ),
inference(subsumption_resolution,[],[f1771,f399]) ).
fof(f399,plain,
( ~ empty(sK1)
| spl14_21 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl14_21
<=> empty(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f1771,plain,
( empty(sK1)
| in(sK5(sK2,sK1),sK1)
| ~ spl14_84 ),
inference(resolution,[],[f1749,f105]) ).
fof(f1749,plain,
( element(sK5(sK2,sK1),sK1)
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1770,plain,
( spl14_84
| ~ spl14_15
| spl14_17
| ~ spl14_18
| spl14_82 ),
inference(avatar_split_clause,[],[f1743,f1719,f377,f365,f261,f1747]) ).
fof(f1743,plain,
( element(sK5(sK2,sK1),sK1)
| ~ spl14_15
| spl14_17
| ~ spl14_18
| spl14_82 ),
inference(subsumption_resolution,[],[f1732,f367]) ).
fof(f367,plain,
( sK1 != relation_dom(sK2)
| spl14_17 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f1732,plain,
( element(sK5(sK2,sK1),sK1)
| sK1 = relation_dom(sK2)
| ~ spl14_15
| ~ spl14_18
| spl14_82 ),
inference(resolution,[],[f1721,f1430]) ).
fof(f1756,plain,
( spl14_7
| ~ spl14_15
| ~ spl14_16
| spl14_17
| ~ spl14_82 ),
inference(avatar_contradiction_clause,[],[f1755]) ).
fof(f1755,plain,
( $false
| spl14_7
| ~ spl14_15
| ~ spl14_16
| spl14_17
| ~ spl14_82 ),
inference(subsumption_resolution,[],[f1754,f367]) ).
fof(f1754,plain,
( sK1 = relation_dom(sK2)
| spl14_7
| ~ spl14_15
| ~ spl14_16
| ~ spl14_82 ),
inference(subsumption_resolution,[],[f1751,f1720]) ).
fof(f1720,plain,
( in(sK5(sK2,sK1),sK1)
| ~ spl14_82 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1751,plain,
( ~ in(sK5(sK2,sK1),sK1)
| sK1 = relation_dom(sK2)
| spl14_7
| ~ spl14_15
| ~ spl14_16
| ~ spl14_82 ),
inference(resolution,[],[f1720,f721]) ).
fof(f721,plain,
( ! [X0] :
( ~ in(sK5(sK2,X0),sK1)
| ~ in(sK5(sK2,X0),X0)
| relation_dom(sK2) = X0 )
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f718,f263]) ).
fof(f718,plain,
( ! [X0] :
( relation_dom(sK2) = X0
| ~ in(sK5(sK2,X0),X0)
| ~ relation(sK2)
| ~ in(sK5(sK2,X0),sK1) )
| spl14_7
| ~ spl14_16 ),
inference(resolution,[],[f96,f617]) ).
fof(f617,plain,
( ! [X5] :
( in(ordered_pair(X5,sK4(X5)),sK2)
| ~ in(X5,sK1) )
| spl14_7
| ~ spl14_16 ),
inference(global_subsumption,[],[f564,f91,f89,f96,f95,f94,f93,f92,f124,f125,f99,f88,f98,f100,f97,f111,f103,f104,f112,f113,f90,f101,f108,f163,f109,f110,f164,f105,f169,f172,f119,f175,f176,f178,f121,f122,f181,f177,f123,f189,f192,f194,f102,f212,f213,f215,f216,f217,f118,f250,f252,f249,f258,f259,f265,f120,f270,f190,f268,f191,f251,f280,f269,f283,f193,f285,f197,f289,f171,f211,f301,f302,f304,f305,f306,f307,f214,f308,f309,f310,f311,f312,f313,f314,f114,f315,f271,f275,f319,f320,f321,f322,f297,f326,f303,f329,f330,f331,f332,f333,f334,f335,f115,f336,f325,f339,f340,f341,f342,f343,f344,f347,f348,f349,f350,f337,f116,f355,f357,f117,f369,f370,f371,f372,f373,f381,f424,f425,f106,f463,f464,f465,f466,f467,f468,f470,f471,f472,f473,f474,f475,f476,f477,f479,f480,f107,f514,f161]) ).
fof(f161,plain,
( sK1 != relation_dom_as_subset(sK1,sK0,sK2)
| spl14_7 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl14_7
<=> sK1 = relation_dom_as_subset(sK1,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f425,plain,
( ! [X3] :
( ~ in(X3,sK1)
| ~ empty(sK2) )
| spl14_7 ),
inference(resolution,[],[f381,f111]) ).
fof(f424,plain,
( ! [X2] :
( ~ in(X2,sK1)
| ~ in(sK2,ordered_pair(X2,sK4(X2))) )
| spl14_7 ),
inference(resolution,[],[f381,f103]) ).
fof(f381,plain,
( ! [X5] :
( in(ordered_pair(X5,sK4(X5)),sK2)
| ~ in(X5,sK1) )
| spl14_7 ),
inference(subsumption_resolution,[],[f89,f161]) ).
fof(f1750,plain,
( spl14_84
| ~ spl14_15
| spl14_17
| ~ spl14_18
| spl14_82 ),
inference(avatar_split_clause,[],[f1743,f1719,f377,f365,f261,f1747]) ).
fof(f1745,plain,
( ~ spl14_15
| spl14_17
| ~ spl14_18
| spl14_82
| spl14_83 ),
inference(avatar_contradiction_clause,[],[f1744]) ).
fof(f1744,plain,
( $false
| ~ spl14_15
| spl14_17
| ~ spl14_18
| spl14_82
| spl14_83 ),
inference(global_subsumption,[],[f1743,f91,f89,f92,f124,f125,f99,f88,f98,f100,f97,f111,f103,f104,f112,f113,f90,f101,f108,f163,f109,f110,f164,f105,f169,f172,f119,f175,f176,f178,f121,f122,f181,f177,f123,f189,f192,f194,f102,f212,f215,f216,f217,f118,f249,f263,f258,f259,f265,f120,f190,f268,f191,f251,f280,f269,f283,f193,f285,f197,f289,f171,f211,f301,f302,f304,f305,f306,f307,f214,f308,f309,f310,f311,f312,f313,f314,f114,f315,f271,f275,f319,f320,f321,f322,f297,f326,f303,f329,f330,f331,f332,f333,f334,f335,f115,f336,f325,f339,f340,f341,f342,f343,f344,f347,f348,f349,f350,f337,f116,f117,f106,f465,f466,f467,f468,f470,f471,f474,f475,f476,f477,f479,f480,f107,f514,f367,f94,f642,f93,f371,f697,f698,f699,f464,f704,f705,f706,f707,f709,f96,f719,f473,f725,f726,f727,f728,f730,f702,f723,f95,f751,f752,f753,f754,f756,f757,f250,f355,f764,f765,f769,f770,f772,f766,f768,f774,f778,f779,f780,f775,f781,f782,f784,f785,f786,f789,f270,f800,f767,f802,f803,f804,f805,f806,f807,f808,f776,f810,f811,f812,f813,f814,f815,f370,f850,f851,f852,f853,f854,f855,f856,f369,f887,f888,f889,f890,f891,f892,f893,f372,f799,f936,f773,f777,f944,f946,f947,f948,f941,f783,f952,f954,f955,f956,f463,f788,f963,f965,f966,f967,f357,f989,f992,f993,f994,f990,f995,f996,f998,f999,f991,f472,f988,f1000,f1004,f1005,f1006,f1001,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1007,f1016,f1017,f1020,f1021,f987,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f672,f1062,f1061,f1059,f1044,f1046,f1047,f1048,f1049,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1045,f1091,f1092,f1095,f1096,f1097,f1098,f1093,f1106,f1107,f1109,f1110,f1111,f1112,f1113,f1114,f750,f1142,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1158,f1105,f1160,f1161,f1162,f1164,f1165,f1166,f373,f1239,f1002,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1094,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f213,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1143,f1310,f1311,f1312,f1314,f1315,f1316,f1317,f1318,f1244,f1003,f1328,f1329,f1330,f1332,f1333,f1334,f1335,f1336,f252,f1343,f1346,f1350,f1351,f1352,f1353,f1354,f1108,f1355,f1356,f1357,f1359,f1360,f1361,f1362,f1363,f1325,f1010,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1019,f1380,f1381,f1382,f1384,f1385,f1386,f1387,f1388,f759,f1431,f1432,f1433,f1434,f1405,f1406,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1424,f760,f1508,f1509,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1527,f749,f761,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1643,f1619,f1620,f1644,f1621,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1724,f1721,f1734,f1736,f1740]) ).
fof(f1740,plain,
( in(sK5(sK2,sK1),relation_dom(sK2))
| ~ spl14_15
| spl14_17
| spl14_82 ),
inference(subsumption_resolution,[],[f1739,f367]) ).
fof(f1739,plain,
( in(sK5(sK2,sK1),relation_dom(sK2))
| sK1 = relation_dom(sK2)
| ~ spl14_15
| spl14_82 ),
inference(subsumption_resolution,[],[f1729,f263]) ).
fof(f1729,plain,
( in(sK5(sK2,sK1),relation_dom(sK2))
| ~ relation(sK2)
| sK1 = relation_dom(sK2)
| spl14_82 ),
inference(resolution,[],[f1721,f759]) ).
fof(f1736,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| ~ spl14_15
| spl14_17
| spl14_82 ),
inference(subsumption_resolution,[],[f1735,f367]) ).
fof(f1735,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| sK1 = relation_dom(sK2)
| ~ spl14_15
| spl14_82 ),
inference(subsumption_resolution,[],[f1728,f263]) ).
fof(f1728,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| ~ relation(sK2)
| sK1 = relation_dom(sK2)
| spl14_82 ),
inference(resolution,[],[f1721,f760]) ).
fof(f1734,plain,
( ! [X0] :
( in(sK5(sK2,sK1),X0)
| relation_dom(sK2) != X0 )
| ~ spl14_15
| spl14_17
| spl14_82 ),
inference(subsumption_resolution,[],[f1733,f367]) ).
fof(f1733,plain,
( ! [X0] :
( in(sK5(sK2,sK1),X0)
| sK1 = relation_dom(sK2)
| relation_dom(sK2) != X0 )
| ~ spl14_15
| spl14_82 ),
inference(subsumption_resolution,[],[f1727,f263]) ).
fof(f1727,plain,
( ! [X0] :
( in(sK5(sK2,sK1),X0)
| ~ relation(sK2)
| sK1 = relation_dom(sK2)
| relation_dom(sK2) != X0 )
| spl14_82 ),
inference(resolution,[],[f1721,f761]) ).
fof(f1724,plain,
( ~ in(sK6(sK2,sK1),relation_rng(sK2))
| spl14_83 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1723,plain,
( spl14_83
<=> in(sK6(sK2,sK1),relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_83])]) ).
fof(f1742,plain,
( ~ spl14_15
| spl14_17
| spl14_82
| spl14_83 ),
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1741,plain,
( $false
| ~ spl14_15
| spl14_17
| spl14_82
| spl14_83 ),
inference(global_subsumption,[],[f91,f89,f92,f124,f125,f99,f88,f98,f100,f97,f111,f103,f104,f112,f113,f90,f101,f108,f163,f109,f110,f164,f105,f169,f172,f119,f175,f176,f178,f121,f122,f181,f177,f123,f189,f192,f194,f102,f212,f215,f216,f217,f118,f249,f263,f258,f259,f265,f120,f190,f268,f191,f251,f280,f269,f283,f193,f285,f197,f289,f171,f211,f301,f302,f304,f305,f306,f307,f214,f308,f309,f310,f311,f312,f313,f314,f114,f315,f271,f275,f319,f320,f321,f322,f297,f326,f303,f329,f330,f331,f332,f333,f334,f335,f115,f336,f325,f339,f340,f341,f342,f343,f344,f347,f348,f349,f350,f337,f116,f117,f106,f465,f466,f467,f468,f470,f471,f474,f475,f476,f477,f479,f480,f107,f514,f367,f94,f642,f93,f371,f697,f698,f699,f464,f704,f705,f706,f707,f709,f96,f719,f473,f725,f726,f727,f728,f730,f702,f723,f95,f751,f752,f753,f754,f756,f757,f250,f355,f764,f765,f769,f770,f772,f766,f768,f774,f778,f779,f780,f775,f781,f782,f784,f785,f786,f789,f270,f800,f767,f802,f803,f804,f805,f806,f807,f808,f776,f810,f811,f812,f813,f814,f815,f370,f850,f851,f852,f853,f854,f855,f856,f369,f887,f888,f889,f890,f891,f892,f893,f372,f799,f936,f773,f777,f944,f946,f947,f948,f941,f783,f952,f954,f955,f956,f463,f788,f963,f965,f966,f967,f357,f989,f992,f993,f994,f990,f995,f996,f998,f999,f991,f472,f988,f1000,f1004,f1005,f1006,f1001,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1007,f1016,f1017,f1020,f1021,f987,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f672,f1062,f1061,f1059,f1044,f1046,f1047,f1048,f1049,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1045,f1091,f1092,f1095,f1096,f1097,f1098,f1093,f1106,f1107,f1109,f1110,f1111,f1112,f1113,f1114,f750,f1142,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1158,f1105,f1160,f1161,f1162,f1164,f1165,f1166,f373,f1239,f1002,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1094,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f213,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1143,f1310,f1311,f1312,f1314,f1315,f1316,f1317,f1318,f1244,f1003,f1328,f1329,f1330,f1332,f1333,f1334,f1335,f1336,f252,f1343,f1346,f1350,f1351,f1352,f1353,f1354,f1108,f1355,f1356,f1357,f1359,f1360,f1361,f1362,f1363,f1325,f1010,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1019,f1380,f1381,f1382,f1384,f1385,f1386,f1387,f1388,f759,f1431,f1432,f1433,f1434,f1405,f1406,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1424,f760,f1508,f1509,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1527,f749,f761,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1643,f1619,f1620,f1644,f1621,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1724,f1721,f1734,f1736,f1740]) ).
fof(f1738,plain,
( ~ spl14_15
| spl14_17
| spl14_82
| spl14_83 ),
inference(avatar_contradiction_clause,[],[f1737]) ).
fof(f1737,plain,
( $false
| ~ spl14_15
| spl14_17
| spl14_82
| spl14_83 ),
inference(global_subsumption,[],[f91,f89,f92,f124,f125,f99,f88,f98,f100,f97,f111,f103,f104,f112,f113,f90,f101,f108,f163,f109,f110,f164,f105,f169,f172,f119,f175,f176,f178,f121,f122,f181,f177,f123,f189,f192,f194,f102,f212,f215,f216,f217,f118,f249,f263,f258,f259,f265,f120,f190,f268,f191,f251,f280,f269,f283,f193,f285,f197,f289,f171,f211,f301,f302,f304,f305,f306,f307,f214,f308,f309,f310,f311,f312,f313,f314,f114,f315,f271,f275,f319,f320,f321,f322,f297,f326,f303,f329,f330,f331,f332,f333,f334,f335,f115,f336,f325,f339,f340,f341,f342,f343,f344,f347,f348,f349,f350,f337,f116,f117,f106,f465,f466,f467,f468,f470,f471,f474,f475,f476,f477,f479,f480,f107,f514,f367,f94,f642,f93,f371,f697,f698,f699,f464,f704,f705,f706,f707,f709,f96,f719,f473,f725,f726,f727,f728,f730,f702,f723,f95,f751,f752,f753,f754,f756,f757,f250,f355,f764,f765,f769,f770,f772,f766,f768,f774,f778,f779,f780,f775,f781,f782,f784,f785,f786,f789,f270,f800,f767,f802,f803,f804,f805,f806,f807,f808,f776,f810,f811,f812,f813,f814,f815,f370,f850,f851,f852,f853,f854,f855,f856,f369,f887,f888,f889,f890,f891,f892,f893,f372,f799,f936,f773,f777,f944,f946,f947,f948,f941,f783,f952,f954,f955,f956,f463,f788,f963,f965,f966,f967,f357,f989,f992,f993,f994,f990,f995,f996,f998,f999,f991,f472,f988,f1000,f1004,f1005,f1006,f1001,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1007,f1016,f1017,f1020,f1021,f987,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f672,f1062,f1061,f1059,f1044,f1046,f1047,f1048,f1049,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1045,f1091,f1092,f1095,f1096,f1097,f1098,f1093,f1106,f1107,f1109,f1110,f1111,f1112,f1113,f1114,f750,f1142,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1158,f1105,f1160,f1161,f1162,f1164,f1165,f1166,f373,f1239,f1002,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1094,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f213,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1143,f1310,f1311,f1312,f1314,f1315,f1316,f1317,f1318,f1244,f1003,f1328,f1329,f1330,f1332,f1333,f1334,f1335,f1336,f252,f1343,f1346,f1350,f1351,f1352,f1353,f1354,f1108,f1355,f1356,f1357,f1359,f1360,f1361,f1362,f1363,f1325,f1010,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1019,f1380,f1381,f1382,f1384,f1385,f1386,f1387,f1388,f759,f1431,f1432,f1433,f1434,f1405,f1406,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1424,f760,f1508,f1509,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1527,f749,f761,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1643,f1619,f1620,f1644,f1621,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1724,f1721,f1734,f1736]) ).
fof(f1726,plain,
( ~ spl14_82
| spl14_83
| spl14_7
| ~ spl14_15
| ~ spl14_16
| spl14_17 ),
inference(avatar_split_clause,[],[f1530,f365,f359,f261,f159,f1723,f1719]) ).
fof(f1530,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| ~ in(sK5(sK2,sK1),sK1)
| spl14_7
| ~ spl14_15
| ~ spl14_16
| spl14_17 ),
inference(subsumption_resolution,[],[f1529,f367]) ).
fof(f1529,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| sK1 = relation_dom(sK2)
| ~ in(sK5(sK2,sK1),sK1)
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f1528,f263]) ).
fof(f1528,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| ~ relation(sK2)
| sK1 = relation_dom(sK2)
| ~ in(sK5(sK2,sK1),sK1)
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(duplicate_literal_removal,[],[f1510]) ).
fof(f1510,plain,
( in(sK6(sK2,sK1),relation_rng(sK2))
| ~ relation(sK2)
| sK1 = relation_dom(sK2)
| ~ in(sK5(sK2,sK1),sK1)
| sK1 = relation_dom(sK2)
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(resolution,[],[f760,f721]) ).
fof(f1717,plain,
( ~ spl14_81
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(avatar_split_clause,[],[f1706,f1549,f560,f261,f1714]) ).
fof(f1714,plain,
( spl14_81
<=> relation_dom(sK2) = sK5(sK2,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
fof(f560,plain,
( spl14_35
<=> empty_set = relation_dom(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f1549,plain,
( spl14_75
<=> in(sK5(sK2,empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_75])]) ).
fof(f1706,plain,
( relation_dom(sK2) != sK5(sK2,empty_set)
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(duplicate_literal_removal,[],[f1699]) ).
fof(f1699,plain,
( relation_dom(sK2) != sK5(sK2,empty_set)
| relation_dom(sK2) != sK5(sK2,empty_set)
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(resolution,[],[f1663,f1646]) ).
fof(f1646,plain,
( ! [X1] :
( in(sK5(sK2,empty_set),X1)
| relation_dom(sK2) != X1 )
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(subsumption_resolution,[],[f1645,f561]) ).
fof(f561,plain,
( empty_set != relation_dom(sK2)
| spl14_35 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1645,plain,
( ! [X1] :
( in(sK5(sK2,empty_set),X1)
| empty_set = relation_dom(sK2)
| relation_dom(sK2) != X1 )
| ~ spl14_15
| spl14_75 ),
inference(subsumption_resolution,[],[f1623,f263]) ).
fof(f1623,plain,
( ! [X1] :
( in(sK5(sK2,empty_set),X1)
| ~ relation(sK2)
| empty_set = relation_dom(sK2)
| relation_dom(sK2) != X1 )
| spl14_75 ),
inference(resolution,[],[f761,f1550]) ).
fof(f1550,plain,
( ~ in(sK5(sK2,empty_set),empty_set)
| spl14_75 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1663,plain,
( ! [X0] :
( ~ in(X0,sK5(sK2,empty_set))
| relation_dom(sK2) != X0 )
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(resolution,[],[f1646,f103]) ).
fof(f1660,plain,
( ~ spl14_80
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f1649,f1591,f1657]) ).
fof(f1657,plain,
( spl14_80
<=> in(relation_dom(sK2),sK5(sK2,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_80])]) ).
fof(f1591,plain,
( spl14_78
<=> in(sK5(sK2,empty_set),relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
fof(f1649,plain,
( ~ in(relation_dom(sK2),sK5(sK2,empty_set))
| ~ spl14_78 ),
inference(resolution,[],[f1593,f103]) ).
fof(f1593,plain,
( in(sK5(sK2,empty_set),relation_dom(sK2))
| ~ spl14_78 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1655,plain,
( ~ spl14_79
| ~ spl14_77 ),
inference(avatar_split_clause,[],[f1595,f1586,f1652]) ).
fof(f1652,plain,
( spl14_79
<=> in(relation_rng(sK2),sK6(sK2,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_79])]) ).
fof(f1586,plain,
( spl14_77
<=> in(sK6(sK2,empty_set),relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_77])]) ).
fof(f1595,plain,
( ~ in(relation_rng(sK2),sK6(sK2,empty_set))
| ~ spl14_77 ),
inference(resolution,[],[f1588,f103]) ).
fof(f1588,plain,
( in(sK6(sK2,empty_set),relation_rng(sK2))
| ~ spl14_77 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1594,plain,
( spl14_78
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(avatar_split_clause,[],[f1579,f1549,f560,f261,f1591]) ).
fof(f1579,plain,
( in(sK5(sK2,empty_set),relation_dom(sK2))
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(subsumption_resolution,[],[f1578,f561]) ).
fof(f1578,plain,
( in(sK5(sK2,empty_set),relation_dom(sK2))
| empty_set = relation_dom(sK2)
| ~ spl14_15
| spl14_75 ),
inference(subsumption_resolution,[],[f1573,f263]) ).
fof(f1573,plain,
( in(sK5(sK2,empty_set),relation_dom(sK2))
| ~ relation(sK2)
| empty_set = relation_dom(sK2)
| spl14_75 ),
inference(resolution,[],[f1550,f759]) ).
fof(f1589,plain,
( spl14_77
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(avatar_split_clause,[],[f1577,f1549,f560,f261,f1586]) ).
fof(f1577,plain,
( in(sK6(sK2,empty_set),relation_rng(sK2))
| ~ spl14_15
| spl14_35
| spl14_75 ),
inference(subsumption_resolution,[],[f1576,f561]) ).
fof(f1576,plain,
( in(sK6(sK2,empty_set),relation_rng(sK2))
| empty_set = relation_dom(sK2)
| ~ spl14_15
| spl14_75 ),
inference(subsumption_resolution,[],[f1572,f263]) ).
fof(f1572,plain,
( in(sK6(sK2,empty_set),relation_rng(sK2))
| ~ relation(sK2)
| empty_set = relation_dom(sK2)
| spl14_75 ),
inference(resolution,[],[f1550,f760]) ).
fof(f1584,plain,
( ~ spl14_76
| ~ spl14_74 ),
inference(avatar_split_clause,[],[f1569,f1544,f1581]) ).
fof(f1581,plain,
( spl14_76
<=> in(sK1,sK5(sK2,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_76])]) ).
fof(f1544,plain,
( spl14_74
<=> in(sK5(sK2,empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_74])]) ).
fof(f1569,plain,
( ~ in(sK1,sK5(sK2,empty_set))
| ~ spl14_74 ),
inference(resolution,[],[f1545,f103]) ).
fof(f1545,plain,
( in(sK5(sK2,empty_set),sK1)
| ~ spl14_74 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1565,plain,
( ~ spl14_1
| ~ spl14_75 ),
inference(avatar_contradiction_clause,[],[f1564]) ).
fof(f1564,plain,
( $false
| ~ spl14_1
| ~ spl14_75 ),
inference(subsumption_resolution,[],[f1563,f129]) ).
fof(f129,plain,
( empty(empty_set)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl14_1
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f1563,plain,
( ~ empty(empty_set)
| ~ spl14_75 ),
inference(resolution,[],[f1551,f111]) ).
fof(f1551,plain,
( in(sK5(sK2,empty_set),empty_set)
| ~ spl14_75 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1561,plain,
( spl14_75
| ~ spl14_15
| ~ spl14_18
| spl14_35
| spl14_73 ),
inference(avatar_split_clause,[],[f1542,f1532,f560,f377,f261,f1549]) ).
fof(f1532,plain,
( spl14_73
<=> element(sK5(sK2,empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_73])]) ).
fof(f1542,plain,
( in(sK5(sK2,empty_set),empty_set)
| ~ spl14_15
| ~ spl14_18
| spl14_35
| spl14_73 ),
inference(subsumption_resolution,[],[f1540,f561]) ).
fof(f1540,plain,
( in(sK5(sK2,empty_set),empty_set)
| empty_set = relation_dom(sK2)
| ~ spl14_15
| ~ spl14_18
| spl14_73 ),
inference(resolution,[],[f1533,f1430]) ).
fof(f1533,plain,
( ~ element(sK5(sK2,empty_set),sK1)
| spl14_73 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1560,plain,
( ~ spl14_74
| spl14_73 ),
inference(avatar_split_clause,[],[f1541,f1532,f1544]) ).
fof(f1541,plain,
( ~ in(sK5(sK2,empty_set),sK1)
| spl14_73 ),
inference(resolution,[],[f1533,f104]) ).
fof(f1556,plain,
( spl14_21
| ~ spl14_73
| spl14_74 ),
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1555,plain,
( $false
| spl14_21
| ~ spl14_73
| spl14_74 ),
inference(global_subsumption,[],[f91,f89,f92,f124,f125,f99,f88,f98,f100,f97,f111,f103,f104,f112,f113,f90,f101,f108,f163,f109,f110,f164,f105,f169,f172,f119,f175,f176,f178,f121,f122,f181,f177,f123,f189,f192,f194,f102,f212,f215,f216,f217,f118,f249,f258,f259,f265,f120,f190,f268,f191,f251,f280,f269,f283,f193,f285,f197,f289,f171,f211,f301,f302,f304,f305,f306,f307,f214,f308,f309,f310,f311,f312,f313,f314,f114,f315,f271,f275,f319,f320,f321,f322,f297,f326,f303,f329,f330,f331,f332,f333,f334,f335,f115,f336,f325,f339,f340,f341,f342,f343,f344,f347,f348,f349,f350,f337,f116,f117,f106,f465,f466,f467,f468,f470,f471,f474,f475,f476,f477,f479,f480,f107,f514,f399,f94,f642,f93,f371,f697,f698,f699,f464,f704,f705,f706,f707,f709,f96,f719,f473,f725,f726,f727,f728,f730,f702,f723,f95,f761,f749,f751,f752,f753,f754,f756,f757,f250,f355,f764,f765,f769,f770,f772,f766,f768,f774,f778,f779,f780,f775,f781,f782,f784,f785,f786,f789,f270,f800,f767,f802,f803,f804,f805,f806,f807,f808,f776,f810,f811,f812,f813,f814,f815,f370,f850,f851,f852,f853,f854,f855,f856,f369,f887,f888,f889,f890,f891,f892,f893,f372,f799,f936,f773,f777,f944,f946,f947,f948,f941,f783,f952,f954,f955,f956,f463,f788,f963,f965,f966,f967,f357,f989,f992,f993,f994,f990,f995,f996,f998,f999,f991,f472,f988,f1000,f1004,f1005,f1006,f1001,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1007,f1016,f1017,f1020,f1021,f987,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f672,f1062,f1061,f1059,f1044,f1046,f1047,f1048,f1049,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1045,f1091,f1092,f1095,f1096,f1097,f1098,f1093,f1106,f1107,f1109,f1110,f1111,f1112,f1113,f1114,f750,f1142,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1158,f1105,f1160,f1161,f1162,f1164,f1165,f1166,f373,f1239,f1002,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1094,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f213,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1143,f1310,f1311,f1312,f1314,f1315,f1316,f1317,f1318,f1244,f1003,f1328,f1329,f1330,f1332,f1333,f1334,f1335,f1336,f252,f1343,f1346,f1350,f1351,f1352,f1353,f1354,f1108,f1355,f1356,f1357,f1359,f1360,f1361,f1362,f1363,f1325,f1010,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1019,f1380,f1381,f1382,f1384,f1385,f1386,f1387,f1388,f759,f1431,f1432,f1433,f1434,f1405,f1406,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1424,f760,f1508,f1509,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1527,f1546,f1534,f1554]) ).
fof(f1554,plain,
( in(sK5(sK2,empty_set),sK1)
| spl14_21
| ~ spl14_73 ),
inference(subsumption_resolution,[],[f1553,f399]) ).
fof(f1553,plain,
( empty(sK1)
| in(sK5(sK2,empty_set),sK1)
| ~ spl14_73 ),
inference(resolution,[],[f1534,f105]) ).
fof(f1534,plain,
( element(sK5(sK2,empty_set),sK1)
| ~ spl14_73 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1546,plain,
( ~ in(sK5(sK2,empty_set),sK1)
| spl14_74 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1552,plain,
( spl14_75
| ~ spl14_15
| ~ spl14_18
| spl14_35
| spl14_73 ),
inference(avatar_split_clause,[],[f1542,f1532,f560,f377,f261,f1549]) ).
fof(f1547,plain,
( ~ spl14_74
| spl14_73 ),
inference(avatar_split_clause,[],[f1541,f1532,f1544]) ).
fof(f1535,plain,
( spl14_73
| ~ spl14_15
| ~ spl14_18
| spl14_35
| ~ spl14_62 ),
inference(avatar_split_clause,[],[f1507,f1121,f560,f377,f261,f1532]) ).
fof(f1121,plain,
( spl14_62
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
fof(f1507,plain,
( element(sK5(sK2,empty_set),sK1)
| ~ spl14_15
| ~ spl14_18
| spl14_35
| ~ spl14_62 ),
inference(subsumption_resolution,[],[f1501,f561]) ).
fof(f1501,plain,
( element(sK5(sK2,empty_set),sK1)
| empty_set = relation_dom(sK2)
| ~ spl14_15
| ~ spl14_18
| ~ spl14_62 ),
inference(resolution,[],[f1430,f1122]) ).
fof(f1122,plain,
( ! [X1] : ~ in(X1,empty_set)
| ~ spl14_62 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1308,plain,
( ~ spl14_71
| ~ spl14_72
| ~ spl14_15
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f1067,f822,f261,f1305,f1301]) ).
fof(f1301,plain,
( spl14_71
<=> in(relation_dom(cartesian_product2(sK1,sK0)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_71])]) ).
fof(f1305,plain,
( spl14_72
<=> in(cartesian_product2(sK1,sK0),relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_72])]) ).
fof(f822,plain,
( spl14_48
<=> ! [X0] :
( ~ in(X0,sK2)
| in(X0,cartesian_product2(sK1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
fof(f1067,plain,
( ~ in(cartesian_product2(sK1,sK0),relation_dom(sK2))
| ~ in(relation_dom(cartesian_product2(sK1,sK0)),sK2)
| ~ spl14_15
| ~ spl14_48 ),
inference(resolution,[],[f1063,f837]) ).
fof(f837,plain,
( ! [X0] :
( ~ in(cartesian_product2(sK1,sK0),X0)
| ~ in(X0,sK2) )
| ~ spl14_48 ),
inference(resolution,[],[f823,f103]) ).
fof(f823,plain,
( ! [X0] :
( in(X0,cartesian_product2(sK1,sK0))
| ~ in(X0,sK2) )
| ~ spl14_48 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f1063,plain,
( ! [X9] :
( in(X9,relation_dom(cartesian_product2(sK1,sK0)))
| ~ in(X9,relation_dom(sK2)) )
| ~ spl14_15
| ~ spl14_48 ),
inference(subsumption_resolution,[],[f1042,f263]) ).
fof(f1042,plain,
( ! [X9] :
( ~ in(X9,relation_dom(sK2))
| ~ relation(sK2)
| in(X9,relation_dom(cartesian_product2(sK1,sK0))) )
| ~ spl14_48 ),
inference(resolution,[],[f672,f848]) ).
fof(f848,plain,
( ! [X8,X9] :
( ~ in(ordered_pair(X8,X9),sK2)
| in(X8,relation_dom(cartesian_product2(sK1,sK0))) )
| ~ spl14_48 ),
inference(subsumption_resolution,[],[f843,f178]) ).
fof(f843,plain,
( ! [X8,X9] :
( ~ in(ordered_pair(X8,X9),sK2)
| in(X8,relation_dom(cartesian_product2(sK1,sK0)))
| ~ relation(cartesian_product2(sK1,sK0)) )
| ~ spl14_48 ),
inference(resolution,[],[f823,f114]) ).
fof(f1256,plain,
( ~ spl14_70
| ~ spl14_69 ),
inference(avatar_split_clause,[],[f1250,f1246,f1253]) ).
fof(f1253,plain,
( spl14_70
<=> in(sK1,sK9(empty_set,relation_dom(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_70])]) ).
fof(f1246,plain,
( spl14_69
<=> in(sK9(empty_set,relation_dom(sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_69])]) ).
fof(f1250,plain,
( ~ in(sK1,sK9(empty_set,relation_dom(sK2)))
| ~ spl14_69 ),
inference(resolution,[],[f1248,f103]) ).
fof(f1248,plain,
( in(sK9(empty_set,relation_dom(sK2)),sK1)
| ~ spl14_69 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1249,plain,
( spl14_69
| spl14_21
| ~ spl14_68 ),
inference(avatar_split_clause,[],[f1234,f1229,f397,f1246]) ).
fof(f1229,plain,
( spl14_68
<=> element(sK9(empty_set,relation_dom(sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_68])]) ).
fof(f1234,plain,
( in(sK9(empty_set,relation_dom(sK2)),sK1)
| spl14_21
| ~ spl14_68 ),
inference(subsumption_resolution,[],[f1233,f399]) ).
fof(f1233,plain,
( empty(sK1)
| in(sK9(empty_set,relation_dom(sK2)),sK1)
| ~ spl14_68 ),
inference(resolution,[],[f1231,f105]) ).
fof(f1231,plain,
( element(sK9(empty_set,relation_dom(sK2)),sK1)
| ~ spl14_68 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1232,plain,
( spl14_68
| ~ spl14_18
| spl14_35
| ~ spl14_62 ),
inference(avatar_split_clause,[],[f1227,f1121,f560,f377,f1229]) ).
fof(f1227,plain,
( element(sK9(empty_set,relation_dom(sK2)),sK1)
| ~ spl14_18
| spl14_35
| ~ spl14_62 ),
inference(subsumption_resolution,[],[f1216,f561]) ).
fof(f1216,plain,
( empty_set = relation_dom(sK2)
| element(sK9(empty_set,relation_dom(sK2)),sK1)
| ~ spl14_18
| ~ spl14_62 ),
inference(resolution,[],[f1131,f382]) ).
fof(f1131,plain,
( ! [X5] :
( in(sK9(empty_set,X5),X5)
| empty_set = X5 )
| ~ spl14_62 ),
inference(resolution,[],[f1122,f106]) ).
fof(f1207,plain,
( ~ spl14_67
| ~ spl14_66 ),
inference(avatar_split_clause,[],[f1201,f1197,f1204]) ).
fof(f1204,plain,
( spl14_67
<=> in(sK1,sK9(relation_dom(sK2),empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_67])]) ).
fof(f1197,plain,
( spl14_66
<=> in(sK9(relation_dom(sK2),empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
fof(f1201,plain,
( ~ in(sK1,sK9(relation_dom(sK2),empty_set))
| ~ spl14_66 ),
inference(resolution,[],[f1199,f103]) ).
fof(f1199,plain,
( in(sK9(relation_dom(sK2),empty_set),sK1)
| ~ spl14_66 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1200,plain,
( spl14_66
| spl14_21
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f1195,f1190,f397,f1197]) ).
fof(f1190,plain,
( spl14_65
<=> element(sK9(relation_dom(sK2),empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_65])]) ).
fof(f1195,plain,
( in(sK9(relation_dom(sK2),empty_set),sK1)
| spl14_21
| ~ spl14_65 ),
inference(subsumption_resolution,[],[f1194,f399]) ).
fof(f1194,plain,
( empty(sK1)
| in(sK9(relation_dom(sK2),empty_set),sK1)
| ~ spl14_65 ),
inference(resolution,[],[f1192,f105]) ).
fof(f1192,plain,
( element(sK9(relation_dom(sK2),empty_set),sK1)
| ~ spl14_65 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1193,plain,
( spl14_65
| ~ spl14_18
| spl14_35
| ~ spl14_62 ),
inference(avatar_split_clause,[],[f1188,f1121,f560,f377,f1190]) ).
fof(f1188,plain,
( element(sK9(relation_dom(sK2),empty_set),sK1)
| ~ spl14_18
| spl14_35
| ~ spl14_62 ),
inference(subsumption_resolution,[],[f1177,f561]) ).
fof(f1177,plain,
( empty_set = relation_dom(sK2)
| element(sK9(relation_dom(sK2),empty_set),sK1)
| ~ spl14_18
| ~ spl14_62 ),
inference(resolution,[],[f1129,f382]) ).
fof(f1129,plain,
( ! [X3] :
( in(sK9(X3,empty_set),X3)
| empty_set = X3 )
| ~ spl14_62 ),
inference(resolution,[],[f1122,f106]) ).
fof(f1140,plain,
( ~ spl14_63
| spl14_64
| ~ spl14_62 ),
inference(avatar_split_clause,[],[f1125,f1121,f1138,f1134]) ).
fof(f1134,plain,
( spl14_63
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
fof(f1138,plain,
( spl14_64
<=> ! [X1] : ~ in(X1,relation_dom(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
fof(f1125,plain,
( ! [X1] :
( ~ in(X1,relation_dom(empty_set))
| ~ relation(empty_set) )
| ~ spl14_62 ),
inference(resolution,[],[f1122,f672]) ).
fof(f1123,plain,
( spl14_61
| spl14_62
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f1101,f127,f1121,f1118]) ).
fof(f1118,plain,
( spl14_61
<=> ! [X0] : ~ empty(sK10(empty_set,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
fof(f1101,plain,
( ! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(sK10(empty_set,X0)) )
| ~ spl14_1 ),
inference(subsumption_resolution,[],[f1099,f265]) ).
fof(f1099,plain,
( ! [X0,X1] :
( ~ in(X1,empty_set)
| ~ relation(sK10(empty_set,X0))
| ~ empty(sK10(empty_set,X0)) )
| ~ spl14_1 ),
inference(superposition,[],[f1045,f787]) ).
fof(f787,plain,
( ! [X3] : empty_set = relation_dom(sK10(empty_set,X3))
| ~ spl14_1 ),
inference(resolution,[],[f785,f129]) ).
fof(f1086,plain,
( ~ spl14_60
| ~ spl14_15
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f1081,f822,f261,f1083]) ).
fof(f1083,plain,
( spl14_60
<=> in(relation_dom(cartesian_product2(sK1,sK0)),relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
fof(f1081,plain,
( ~ in(relation_dom(cartesian_product2(sK1,sK0)),relation_dom(sK2))
| ~ spl14_15
| ~ spl14_48 ),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,plain,
( ~ in(relation_dom(cartesian_product2(sK1,sK0)),relation_dom(sK2))
| ~ in(relation_dom(cartesian_product2(sK1,sK0)),relation_dom(sK2))
| ~ spl14_15
| ~ spl14_48 ),
inference(resolution,[],[f1065,f1063]) ).
fof(f1065,plain,
( ! [X0] :
( ~ in(relation_dom(cartesian_product2(sK1,sK0)),X0)
| ~ in(X0,relation_dom(sK2)) )
| ~ spl14_15
| ~ spl14_48 ),
inference(resolution,[],[f1063,f103]) ).
fof(f980,plain,
( spl14_58
| ~ spl14_59
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f961,f822,f359,f159,f977,f973]) ).
fof(f973,plain,
( spl14_58
<=> empty(powerset(relation_dom(cartesian_product2(sK1,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
fof(f977,plain,
( spl14_59
<=> in(powerset(relation_dom(cartesian_product2(sK1,sK0))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
fof(f961,plain,
( ~ in(powerset(relation_dom(cartesian_product2(sK1,sK0))),sK1)
| empty(powerset(relation_dom(cartesian_product2(sK1,sK0))))
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f902,f99]) ).
fof(f902,plain,
( ! [X2] :
( ~ subset(relation_dom(cartesian_product2(sK1,sK0)),X2)
| ~ in(powerset(X2),sK1)
| empty(powerset(X2)) )
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f896,f297]) ).
fof(f896,plain,
( ! [X0] :
( in(X0,relation_dom(cartesian_product2(sK1,sK0)))
| ~ in(X0,sK1) )
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f848,f617]) ).
fof(f934,plain,
( spl14_56
| ~ spl14_57
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f924,f822,f931,f927]) ).
fof(f927,plain,
( spl14_56
<=> empty(powerset(cartesian_product2(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
fof(f931,plain,
( spl14_57
<=> in(powerset(cartesian_product2(sK1,sK0)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
fof(f924,plain,
( ~ in(powerset(cartesian_product2(sK1,sK0)),sK2)
| empty(powerset(cartesian_product2(sK1,sK0)))
| ~ spl14_48 ),
inference(resolution,[],[f839,f99]) ).
fof(f839,plain,
( ! [X2] :
( ~ subset(cartesian_product2(sK1,sK0),X2)
| ~ in(powerset(X2),sK2)
| empty(powerset(X2)) )
| ~ spl14_48 ),
inference(resolution,[],[f823,f297]) ).
fof(f923,plain,
( ~ spl14_55
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f918,f822,f359,f159,f920]) ).
fof(f920,plain,
( spl14_55
<=> in(relation_dom(cartesian_product2(sK1,sK0)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
fof(f918,plain,
( ~ in(relation_dom(cartesian_product2(sK1,sK0)),sK1)
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(duplicate_literal_removal,[],[f916]) ).
fof(f916,plain,
( ~ in(relation_dom(cartesian_product2(sK1,sK0)),sK1)
| ~ in(relation_dom(cartesian_product2(sK1,sK0)),sK1)
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f899,f896]) ).
fof(f899,plain,
( ! [X0] :
( ~ in(relation_dom(cartesian_product2(sK1,sK0)),X0)
| ~ in(X0,sK1) )
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f896,f103]) ).
fof(f913,plain,
( ~ spl14_54
| spl14_26
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f900,f822,f359,f159,f433,f910]) ).
fof(f910,plain,
( spl14_54
<=> empty(relation_dom(cartesian_product2(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
fof(f433,plain,
( spl14_26
<=> ! [X3] : ~ in(X3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f900,plain,
( ! [X1] :
( ~ in(X1,sK1)
| ~ empty(relation_dom(cartesian_product2(sK1,sK0))) )
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f896,f111]) ).
fof(f886,plain,
( ~ spl14_53
| spl14_26
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f881,f822,f359,f159,f433,f883]) ).
fof(f883,plain,
( spl14_53
<=> empty(relation_rng(cartesian_product2(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_53])]) ).
fof(f881,plain,
( ! [X1] :
( ~ in(X1,sK1)
| ~ empty(relation_rng(cartesian_product2(sK1,sK0))) )
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f877,f111]) ).
fof(f877,plain,
( ! [X0] :
( in(sK4(X0),relation_rng(cartesian_product2(sK1,sK0)))
| ~ in(X0,sK1) )
| spl14_7
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f847,f617]) ).
fof(f847,plain,
( ! [X6,X7] :
( ~ in(ordered_pair(X6,X7),sK2)
| in(X7,relation_rng(cartesian_product2(sK1,sK0))) )
| ~ spl14_48 ),
inference(subsumption_resolution,[],[f842,f178]) ).
fof(f842,plain,
( ! [X6,X7] :
( ~ in(ordered_pair(X6,X7),sK2)
| in(X7,relation_rng(cartesian_product2(sK1,sK0)))
| ~ relation(cartesian_product2(sK1,sK0)) )
| ~ spl14_48 ),
inference(resolution,[],[f823,f115]) ).
fof(f876,plain,
( ~ spl14_51
| ~ spl14_52
| spl14_7
| ~ spl14_15
| ~ spl14_16
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f840,f822,f359,f261,f159,f873,f869]) ).
fof(f869,plain,
( spl14_51
<=> in(cartesian_product2(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
fof(f840,plain,
( ~ in(relation_dom(sK2),sK2)
| ~ in(cartesian_product2(sK1,sK0),sK1)
| spl14_7
| ~ spl14_15
| ~ spl14_16
| ~ spl14_48 ),
inference(resolution,[],[f823,f645]) ).
fof(f645,plain,
( ! [X1] :
( ~ in(relation_dom(sK2),X1)
| ~ in(X1,sK1) )
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(resolution,[],[f640,f103]) ).
fof(f640,plain,
( ! [X1] :
( in(X1,relation_dom(sK2))
| ~ in(X1,sK1) )
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f636,f263]) ).
fof(f636,plain,
( ! [X1] :
( ~ in(X1,sK1)
| in(X1,relation_dom(sK2))
| ~ relation(sK2) )
| spl14_7
| ~ spl14_16 ),
inference(resolution,[],[f617,f114]) ).
fof(f867,plain,
( ~ spl14_50
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f862,f822,f864]) ).
fof(f864,plain,
( spl14_50
<=> in(cartesian_product2(sK1,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
fof(f862,plain,
( ~ in(cartesian_product2(sK1,sK0),sK2)
| ~ spl14_48 ),
inference(duplicate_literal_removal,[],[f861]) ).
fof(f861,plain,
( ~ in(cartesian_product2(sK1,sK0),sK2)
| ~ in(cartesian_product2(sK1,sK0),sK2)
| ~ spl14_48 ),
inference(resolution,[],[f837,f823]) ).
fof(f836,plain,
( spl14_49
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f831,f818,f833]) ).
fof(f833,plain,
( spl14_49
<=> empty_set = cartesian_product2(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
fof(f818,plain,
( spl14_47
<=> empty(cartesian_product2(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_47])]) ).
fof(f831,plain,
( empty_set = cartesian_product2(sK1,sK0)
| ~ spl14_47 ),
inference(resolution,[],[f820,f97]) ).
fof(f820,plain,
( empty(cartesian_product2(sK1,sK0))
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f824,plain,
( spl14_47
| spl14_48
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f801,f142,f822,f818]) ).
fof(f142,plain,
( spl14_4
<=> relation_of2_as_subset(sK2,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f801,plain,
( ! [X0] :
( ~ in(X0,sK2)
| empty(cartesian_product2(sK1,sK0))
| in(X0,cartesian_product2(sK1,sK0)) )
| ~ spl14_4 ),
inference(resolution,[],[f798,f105]) ).
fof(f798,plain,
( ! [X0] :
( element(X0,cartesian_product2(sK1,sK0))
| ~ in(X0,sK2) )
| ~ spl14_4 ),
inference(resolution,[],[f270,f144]) ).
fof(f144,plain,
( relation_of2_as_subset(sK2,sK1,sK0)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f744,plain,
( ~ spl14_45
| spl14_46
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f650,f359,f261,f159,f742,f738]) ).
fof(f742,plain,
( spl14_46
<=> ! [X8,X7] :
( ~ in(ordered_pair(X7,X8),sK1)
| in(X8,relation_rng(relation_dom(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f650,plain,
( ! [X8,X7] :
( ~ in(ordered_pair(X7,X8),sK1)
| in(X8,relation_rng(relation_dom(sK2)))
| ~ relation(relation_dom(sK2)) )
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(resolution,[],[f640,f115]) ).
fof(f696,plain,
( ~ spl14_44
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f690,f686,f693]) ).
fof(f693,plain,
( spl14_44
<=> in(sK1,sK8(sK8(powerset(relation_dom(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f686,plain,
( spl14_43
<=> in(sK8(sK8(powerset(relation_dom(sK2)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f690,plain,
( ~ in(sK1,sK8(sK8(powerset(relation_dom(sK2)))))
| ~ spl14_43 ),
inference(resolution,[],[f688,f103]) ).
fof(f688,plain,
( in(sK8(sK8(powerset(relation_dom(sK2)))),sK1)
| ~ spl14_43 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f689,plain,
( spl14_43
| spl14_21
| ~ spl14_42 ),
inference(avatar_split_clause,[],[f684,f678,f397,f686]) ).
fof(f678,plain,
( spl14_42
<=> element(sK8(sK8(powerset(relation_dom(sK2)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f684,plain,
( in(sK8(sK8(powerset(relation_dom(sK2)))),sK1)
| spl14_21
| ~ spl14_42 ),
inference(subsumption_resolution,[],[f683,f399]) ).
fof(f683,plain,
( empty(sK1)
| in(sK8(sK8(powerset(relation_dom(sK2)))),sK1)
| ~ spl14_42 ),
inference(resolution,[],[f680,f105]) ).
fof(f680,plain,
( element(sK8(sK8(powerset(relation_dom(sK2)))),sK1)
| ~ spl14_42 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f681,plain,
( spl14_41
| spl14_42
| ~ spl14_18 ),
inference(avatar_split_clause,[],[f402,f377,f678,f674]) ).
fof(f671,plain,
( spl14_39
| ~ spl14_40
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f660,f359,f261,f159,f668,f664]) ).
fof(f664,plain,
( spl14_39
<=> empty(powerset(relation_dom(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f668,plain,
( spl14_40
<=> in(powerset(relation_dom(sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f660,plain,
( ~ in(powerset(relation_dom(sK2)),sK1)
| empty(powerset(relation_dom(sK2)))
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(resolution,[],[f648,f99]) ).
fof(f648,plain,
( ! [X3] :
( ~ subset(relation_dom(sK2),X3)
| ~ in(powerset(X3),sK1)
| empty(powerset(X3)) )
| spl14_7
| ~ spl14_15
| ~ spl14_16 ),
inference(resolution,[],[f640,f297]) ).
fof(f634,plain,
( ~ spl14_38
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f628,f624,f631]) ).
fof(f631,plain,
( spl14_38
<=> in(sK1,sK8(relation_dom(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f624,plain,
( spl14_37
<=> in(sK8(relation_dom(sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f628,plain,
( ~ in(sK1,sK8(relation_dom(sK2)))
| ~ spl14_37 ),
inference(resolution,[],[f626,f103]) ).
fof(f626,plain,
( in(sK8(relation_dom(sK2)),sK1)
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f627,plain,
( spl14_37
| spl14_21
| ~ spl14_32 ),
inference(avatar_split_clause,[],[f622,f500,f397,f624]) ).
fof(f500,plain,
( spl14_32
<=> element(sK8(relation_dom(sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f622,plain,
( in(sK8(relation_dom(sK2)),sK1)
| spl14_21
| ~ spl14_32 ),
inference(subsumption_resolution,[],[f621,f399]) ).
fof(f621,plain,
( empty(sK1)
| in(sK8(relation_dom(sK2)),sK1)
| ~ spl14_32 ),
inference(resolution,[],[f502,f105]) ).
fof(f502,plain,
( element(sK8(relation_dom(sK2)),sK1)
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f620,plain,
( spl14_32
| ~ spl14_18
| spl14_29 ),
inference(avatar_split_clause,[],[f498,f459,f377,f500]) ).
fof(f459,plain,
( spl14_29
<=> empty(relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f498,plain,
( element(sK8(relation_dom(sK2)),sK1)
| ~ spl14_18
| spl14_29 ),
inference(subsumption_resolution,[],[f401,f461]) ).
fof(f461,plain,
( ~ empty(relation_dom(sK2))
| spl14_29 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f618,plain,
( ~ spl14_17
| spl14_7
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f363,f359,f159,f365]) ).
fof(f363,plain,
( sK1 != relation_dom(sK2)
| spl14_7
| ~ spl14_16 ),
inference(superposition,[],[f161,f361]) ).
fof(f613,plain,
( ~ spl14_20
| spl14_29 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl14_20
| spl14_29 ),
inference(subsumption_resolution,[],[f608,f461]) ).
fof(f608,plain,
( empty(relation_dom(sK2))
| ~ spl14_20 ),
inference(resolution,[],[f395,f169]) ).
fof(f395,plain,
( ! [X1] : ~ in(X1,relation_dom(sK2))
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl14_20
<=> ! [X1] : ~ in(X1,relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f607,plain,
( ~ spl14_36
| spl14_7
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f596,f530,f159,f604]) ).
fof(f604,plain,
( spl14_36
<=> empty_set = relation_dom_as_subset(empty_set,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f530,plain,
( spl14_33
<=> empty_set = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f596,plain,
( empty_set != relation_dom_as_subset(empty_set,sK0,sK2)
| spl14_7
| ~ spl14_33 ),
inference(forward_demodulation,[],[f161,f532]) ).
fof(f532,plain,
( empty_set = sK1
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f587,plain,
( ~ spl14_1
| ~ spl14_34 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| ~ spl14_1
| ~ spl14_34 ),
inference(subsumption_resolution,[],[f585,f129]) ).
fof(f585,plain,
( ~ empty(empty_set)
| ~ spl14_34 ),
inference(resolution,[],[f551,f111]) ).
fof(f551,plain,
( in(sK3,empty_set)
| ~ spl14_34 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl14_34
<=> in(sK3,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f583,plain,
( spl14_35
| ~ spl14_16
| ~ spl14_29
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f567,f530,f459,f359,f560]) ).
fof(f567,plain,
( empty_set = relation_dom(sK2)
| ~ spl14_16
| ~ spl14_29
| ~ spl14_33 ),
inference(global_subsumption,[],[f566,f91,f89,f96,f95,f94,f93,f92,f124,f125,f99,f88,f98,f100,f97,f111,f103,f104,f112,f113,f90,f101,f108,f163,f109,f110,f164,f105,f169,f172,f119,f175,f176,f178,f121,f122,f181,f177,f123,f189,f192,f194,f102,f212,f213,f215,f216,f217,f118,f250,f252,f249,f258,f259,f265,f120,f270,f190,f268,f191,f251,f280,f269,f283,f193,f285,f197,f289,f171,f211,f301,f302,f304,f305,f306,f307,f214,f308,f309,f310,f311,f312,f313,f314,f114,f315,f271,f275,f319,f320,f321,f322,f297,f326,f303,f329,f330,f331,f332,f333,f334,f335,f115,f336,f325,f339,f340,f341,f342,f343,f344,f347,f348,f349,f350,f337,f116,f355,f357,f117,f369,f370,f371,f372,f373,f106,f463,f464,f465,f466,f467,f468,f470,f471,f472,f473,f474,f475,f476,f477,f479,f480,f107,f514,f460,f524,f525,f526,f527,f528]) ).
fof(f528,plain,
( empty_set = relation_dom(sK2)
| ~ spl14_29 ),
inference(resolution,[],[f460,f97]) ).
fof(f527,plain,
( ! [X1] :
( relation_dom(sK2) = X1
| ~ empty(X1) )
| ~ spl14_29 ),
inference(resolution,[],[f460,f110]) ).
fof(f526,plain,
( empty_set = sK8(powerset(relation_dom(sK2)))
| ~ spl14_29 ),
inference(resolution,[],[f460,f194]) ).
fof(f525,plain,
( ! [X0] :
( sK8(powerset(X0)) = relation_dom(sK2)
| ~ empty(X0) )
| ~ spl14_29 ),
inference(resolution,[],[f460,f193]) ).
fof(f524,plain,
( empty_set = sK8(powerset(sK8(powerset(relation_dom(sK2)))))
| ~ spl14_29 ),
inference(resolution,[],[f460,f197]) ).
fof(f460,plain,
( empty(relation_dom(sK2))
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f566,plain,
( ! [X5] :
( ~ in(X5,empty_set)
| empty_set = relation_dom(sK2)
| in(ordered_pair(X5,sK4(X5)),sK2) )
| ~ spl14_16
| ~ spl14_33 ),
inference(forward_demodulation,[],[f565,f532]) ).
fof(f565,plain,
( ! [X5] :
( empty_set = relation_dom(sK2)
| in(ordered_pair(X5,sK4(X5)),sK2)
| ~ in(X5,sK1) )
| ~ spl14_16
| ~ spl14_33 ),
inference(forward_demodulation,[],[f564,f532]) ).
fof(f576,plain,
( spl14_34
| ~ spl14_6
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f575,f530,f155,f550]) ).
fof(f575,plain,
( in(sK3,empty_set)
| ~ spl14_6
| ~ spl14_33 ),
inference(forward_demodulation,[],[f157,f532]) ).
fof(f563,plain,
( spl14_35
| ~ spl14_29 ),
inference(avatar_split_clause,[],[f528,f459,f560]) ).
fof(f553,plain,
( ~ spl14_34
| spl14_6
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f535,f530,f155,f550]) ).
fof(f535,plain,
( ~ in(sK3,empty_set)
| spl14_6
| ~ spl14_33 ),
inference(superposition,[],[f156,f532]) ).
fof(f156,plain,
( ~ in(sK3,sK1)
| spl14_6 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f533,plain,
( spl14_33
| ~ spl14_21 ),
inference(avatar_split_clause,[],[f523,f397,f530]) ).
fof(f523,plain,
( empty_set = sK1
| ~ spl14_21 ),
inference(resolution,[],[f398,f97]) ).
fof(f398,plain,
( empty(sK1)
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f518,plain,
( spl14_21
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f504,f433,f397]) ).
fof(f504,plain,
( empty(sK1)
| ~ spl14_26 ),
inference(resolution,[],[f434,f169]) ).
fof(f434,plain,
( ! [X3] : ~ in(X3,sK1)
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f509,plain,
( spl14_21
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| spl14_21
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f504,f399]) ).
fof(f503,plain,
( spl14_32
| ~ spl14_18
| spl14_29 ),
inference(avatar_split_clause,[],[f498,f459,f377,f500]) ).
fof(f497,plain,
( ~ spl14_31
| spl14_26
| spl14_7
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f492,f261,f159,f433,f494]) ).
fof(f494,plain,
( spl14_31
<=> empty(relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f492,plain,
( ! [X1] :
( ~ in(X1,sK1)
| ~ empty(relation_rng(sK2)) )
| spl14_7
| ~ spl14_15 ),
inference(resolution,[],[f426,f111]) ).
fof(f426,plain,
( ! [X0] :
( in(sK4(X0),relation_rng(sK2))
| ~ in(X0,sK1) )
| spl14_7
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f422,f263]) ).
fof(f422,plain,
( ! [X0] :
( ~ in(X0,sK1)
| in(sK4(X0),relation_rng(sK2))
| ~ relation(sK2) )
| spl14_7 ),
inference(resolution,[],[f381,f115]) ).
fof(f490,plain,
( ~ spl14_30
| spl14_7
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f485,f261,f159,f487]) ).
fof(f485,plain,
( ~ in(relation_dom(sK2),sK1)
| spl14_7
| ~ spl14_15 ),
inference(duplicate_literal_removal,[],[f484]) ).
fof(f484,plain,
( ~ in(relation_dom(sK2),sK1)
| ~ in(relation_dom(sK2),sK1)
| spl14_7
| ~ spl14_15 ),
inference(resolution,[],[f447,f427]) ).
fof(f427,plain,
( ! [X1] :
( in(X1,relation_dom(sK2))
| ~ in(X1,sK1) )
| spl14_7
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f423,f263]) ).
fof(f423,plain,
( ! [X1] :
( ~ in(X1,sK1)
| in(X1,relation_dom(sK2))
| ~ relation(sK2) )
| spl14_7 ),
inference(resolution,[],[f381,f114]) ).
fof(f447,plain,
( ! [X1] :
( ~ in(relation_dom(sK2),X1)
| ~ in(X1,sK1) )
| spl14_7
| ~ spl14_15 ),
inference(resolution,[],[f427,f103]) ).
fof(f462,plain,
( ~ spl14_29
| spl14_26
| spl14_7
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f448,f261,f159,f433,f459]) ).
fof(f448,plain,
( ! [X2] :
( ~ in(X2,sK1)
| ~ empty(relation_dom(sK2)) )
| spl14_7
| ~ spl14_15 ),
inference(resolution,[],[f427,f111]) ).
fof(f457,plain,
( ~ spl14_28
| spl14_7
| ~ spl14_15
| spl14_27 ),
inference(avatar_split_clause,[],[f449,f442,f261,f159,f454]) ).
fof(f454,plain,
( spl14_28
<=> in(powerset(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f442,plain,
( spl14_27
<=> in(powerset(sK1),relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f449,plain,
( ~ in(powerset(sK1),sK1)
| spl14_7
| ~ spl14_15
| spl14_27 ),
inference(resolution,[],[f427,f444]) ).
fof(f444,plain,
( ~ in(powerset(sK1),relation_dom(sK2))
| spl14_27 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f445,plain,
( ~ spl14_27
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f439,f404,f442]) ).
fof(f439,plain,
( ~ in(powerset(sK1),relation_dom(sK2))
| ~ spl14_22 ),
inference(resolution,[],[f406,f103]) ).
fof(f435,plain,
( ~ spl14_25
| spl14_26
| spl14_7 ),
inference(avatar_split_clause,[],[f425,f159,f433,f429]) ).
fof(f429,plain,
( spl14_25
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f421,plain,
( spl14_24
| ~ spl14_23 ),
inference(avatar_split_clause,[],[f416,f408,f418]) ).
fof(f418,plain,
( spl14_24
<=> empty_set = powerset(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f416,plain,
( empty_set = powerset(sK1)
| ~ spl14_23 ),
inference(resolution,[],[f410,f97]) ).
fof(f410,plain,
( empty(powerset(sK1))
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,plain,
( spl14_22
| spl14_23
| ~ spl14_18 ),
inference(avatar_split_clause,[],[f385,f377,f408,f404]) ).
fof(f400,plain,
( spl14_20
| ~ spl14_21
| ~ spl14_18 ),
inference(avatar_split_clause,[],[f383,f377,f397,f394]) ).
fof(f390,plain,
( spl14_19
| ~ spl14_18 ),
inference(avatar_split_clause,[],[f384,f377,f387]) ).
fof(f387,plain,
( spl14_19
<=> subset(relation_dom(sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f380,plain,
( spl14_18
| ~ spl14_8
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f375,f359,f183,f377]) ).
fof(f183,plain,
( spl14_8
<=> relation_of2(sK2,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f375,plain,
( element(relation_dom(sK2),powerset(sK1))
| ~ spl14_8
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f374,f185]) ).
fof(f185,plain,
( relation_of2(sK2,sK1,sK0)
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f374,plain,
( element(relation_dom(sK2),powerset(sK1))
| ~ relation_of2(sK2,sK1,sK0)
| ~ spl14_16 ),
inference(superposition,[],[f117,f361]) ).
fof(f368,plain,
( ~ spl14_17
| spl14_7
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f363,f359,f159,f365]) ).
fof(f362,plain,
( spl14_16
| ~ spl14_8 ),
inference(avatar_split_clause,[],[f356,f183,f359]) ).
fof(f356,plain,
( relation_dom_as_subset(sK1,sK0,sK2) = relation_dom(sK2)
| ~ spl14_8 ),
inference(resolution,[],[f116,f185]) ).
fof(f264,plain,
( spl14_15
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f257,f142,f261]) ).
fof(f257,plain,
( relation(sK2)
| ~ spl14_4 ),
inference(resolution,[],[f249,f144]) ).
fof(f253,plain,
( spl14_13
| ~ spl14_9
| spl14_11 ),
inference(avatar_split_clause,[],[f235,f227,f200,f237]) ).
fof(f237,plain,
( spl14_13
<=> in(empty_set,powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f200,plain,
( spl14_9
<=> empty_set = sK8(powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f227,plain,
( spl14_11
<=> empty(powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f235,plain,
( in(empty_set,powerset(empty_set))
| ~ spl14_9
| spl14_11 ),
inference(subsumption_resolution,[],[f209,f228]) ).
fof(f228,plain,
( ~ empty(powerset(empty_set))
| spl14_11 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f209,plain,
( in(empty_set,powerset(empty_set))
| empty(powerset(empty_set))
| ~ spl14_9 ),
inference(superposition,[],[f169,f202]) ).
fof(f202,plain,
( empty_set = sK8(powerset(empty_set))
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f248,plain,
( spl14_14
| ~ spl14_11 ),
inference(avatar_split_clause,[],[f243,f227,f245]) ).
fof(f245,plain,
( spl14_14
<=> empty_set = powerset(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f243,plain,
( empty_set = powerset(empty_set)
| ~ spl14_11 ),
inference(resolution,[],[f229,f97]) ).
fof(f229,plain,
( empty(powerset(empty_set))
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f240,plain,
( spl14_13
| ~ spl14_9
| spl14_11 ),
inference(avatar_split_clause,[],[f235,f227,f200,f237]) ).
fof(f234,plain,
( spl14_11
| ~ spl14_12
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f208,f200,f231,f227]) ).
fof(f231,plain,
( spl14_12
<=> in(powerset(empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f208,plain,
( ~ in(powerset(empty_set),empty_set)
| empty(powerset(empty_set))
| ~ spl14_9 ),
inference(superposition,[],[f172,f202]) ).
fof(f222,plain,
( spl14_10
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f210,f200,f219]) ).
fof(f219,plain,
( spl14_10
<=> element(empty_set,powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f210,plain,
( element(empty_set,powerset(empty_set))
| ~ spl14_9 ),
inference(superposition,[],[f98,f202]) ).
fof(f204,plain,
( spl14_9
| ~ spl14_3
| ~ spl14_5 ),
inference(avatar_split_clause,[],[f198,f149,f137,f200]) ).
fof(f137,plain,
( spl14_3
<=> empty(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f149,plain,
( spl14_5
<=> empty_set = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f198,plain,
( empty_set = sK8(powerset(empty_set))
| ~ spl14_3
| ~ spl14_5 ),
inference(forward_demodulation,[],[f196,f151]) ).
fof(f151,plain,
( empty_set = sK13
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f196,plain,
( empty_set = sK8(powerset(sK13))
| ~ spl14_3 ),
inference(resolution,[],[f194,f139]) ).
fof(f139,plain,
( empty(sK13)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f203,plain,
( spl14_9
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f195,f127,f200]) ).
fof(f195,plain,
( empty_set = sK8(powerset(empty_set))
| ~ spl14_1 ),
inference(resolution,[],[f194,f129]) ).
fof(f186,plain,
( spl14_8
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f180,f142,f183]) ).
fof(f180,plain,
( relation_of2(sK2,sK1,sK0)
| ~ spl14_4 ),
inference(resolution,[],[f121,f144]) ).
fof(f162,plain,
( spl14_6
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f90,f159,f155]) ).
fof(f152,plain,
( spl14_5
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f147,f137,f149]) ).
fof(f147,plain,
( empty_set = sK13
| ~ spl14_3 ),
inference(resolution,[],[f97,f139]) ).
fof(f145,plain,
spl14_4,
inference(avatar_split_clause,[],[f88,f142]) ).
fof(f140,plain,
spl14_3,
inference(avatar_split_clause,[],[f125,f137]) ).
fof(f135,plain,
~ spl14_2,
inference(avatar_split_clause,[],[f124,f132]) ).
fof(f132,plain,
( spl14_2
<=> empty(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f130,plain,
spl14_1,
inference(avatar_split_clause,[],[f92,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : SEU265+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.37 % Computer : n004.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Wed Aug 30 14:04:22 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.23/0.40 % (24352)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.41 % (24396)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 Vampire---4 for (531ds/0Mi)
% 0.23/0.41 % (24395)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.41 % (24392)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.41 % (24397)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 Vampire---4 for (522ds/0Mi)
% 0.23/0.41 % (24391)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.41 % (24394)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 Vampire---4 for (569ds/0Mi)
% 0.23/0.41 % (24398)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 Vampire---4 for (497ds/0Mi)
% 0.23/0.41 TRYING [1]
% 0.23/0.41 TRYING [2]
% 0.23/0.41 TRYING [3]
% 0.23/0.42 TRYING [1]
% 0.23/0.42 TRYING [2]
% 0.23/0.42 TRYING [4]
% 0.23/0.43 TRYING [3]
% 0.23/0.44 TRYING [5]
% 0.23/0.48 TRYING [4]
% 0.23/0.51 TRYING [6]
% 0.23/0.56 % (24394)First to succeed.
% 0.23/0.57 % (24394)Refutation found. Thanks to Tanya!
% 0.23/0.57 % SZS status Theorem for Vampire---4
% 0.23/0.57 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.58 % (24394)------------------------------
% 0.23/0.58 % (24394)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.58 % (24394)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.58 % (24394)Termination reason: Refutation
% 0.23/0.58
% 0.23/0.58 % (24394)Memory used [KB]: 7291
% 0.23/0.58 % (24394)Time elapsed: 0.163 s
% 0.23/0.58 % (24394)------------------------------
% 0.23/0.58 % (24394)------------------------------
% 0.23/0.58 % (24352)Success in time 0.208 s
% 0.23/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------