TSTP Solution File: SET286-6 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET286-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:24:23 EDT 2022
% Result : Unsatisfiable 8.79s 1.58s
% Output : Refutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 27
% Syntax : Number of formulae : 268 ( 43 unt; 0 def)
% Number of atoms : 725 ( 298 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 732 ( 275 ~; 457 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 116 ( 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2362,plain,
$false,
inference(subsumption_resolution,[],[f2361,f2161]) ).
fof(f2161,plain,
! [X0] : ~ member(X0,complement(universal_class)),
inference(subsumption_resolution,[],[f2155,f2005]) ).
fof(f2005,plain,
! [X1] :
( member(X1,cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class))
| ~ member(X1,complement(universal_class)) ),
inference(backward_demodulation,[],[f1494,f1899]) ).
fof(f1899,plain,
domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),
inference(subsumption_resolution,[],[f1898,f1897]) ).
fof(f1897,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),universal_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f1896,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f1896,plain,
( member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f1894,f1856]) ).
fof(f1856,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),x)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f1853,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f1853,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f1848,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f1848,plain,
( ~ subclass(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)))
| member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f1845,f2]) ).
fof(f1845,plain,
( ~ subclass(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ subclass(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))) ),
inference(extensionality_resolution,[],[f7,f1844]) ).
fof(f1844,plain,
( complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f1843,f1800]) ).
fof(f1800,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f1750,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f1750,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f1583,f1559]) ).
fof(f1559,plain,
! [X1] :
( member(domain_of(x),unordered_pair(domain_of(x),X1))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f1556,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f1556,plain,
( member(domain_of(x),universal_class)
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f1551,f195]) ).
fof(f1551,plain,
( member(domain_of(x),unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f1547,f148]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X2,X0) ),
inference(definition_unfolding,[],[f14,f119]) ).
fof(f119,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f1547,plain,
( member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f1546,f1545]) ).
fof(f1545,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),universal_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f864,f24]) ).
fof(f864,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(duplicate_literal_removal,[],[f817]) ).
fof(f817,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(superposition,[],[f468,f806]) ).
fof(f806,plain,
( not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f802,f801]) ).
fof(f801,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),universal_class)
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) ),
inference(resolution,[],[f790,f24]) ).
fof(f790,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(duplicate_literal_removal,[],[f787]) ).
fof(f787,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f768,f490]) ).
fof(f490,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(forward_demodulation,[],[f489,f406]) ).
fof(f406,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f402,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f186,f239]) ).
fof(f239,plain,
! [X2] :
( member(regular(X2),universal_class)
| null_class = X2 ),
inference(resolution,[],[f195,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f186,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f489,plain,
( complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(forward_demodulation,[],[f488,f406]) ).
fof(f488,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) = not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class)
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(forward_demodulation,[],[f454,f406]) ).
fof(f454,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),x)
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) = not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class)
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class) ),
inference(backward_demodulation,[],[f396,f406]) ).
fof(f396,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),x)
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) = not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f395,f359]) ).
fof(f359,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),universal_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f356,f195]) ).
fof(f356,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f352,f2]) ).
fof(f352,plain,
( ~ subclass(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))) ),
inference(resolution,[],[f349,f2]) ).
fof(f349,plain,
( ~ subclass(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class)
| ~ subclass(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(extensionality_resolution,[],[f7,f347]) ).
fof(f347,plain,
( null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f346,f149]) ).
fof(f149,plain,
! [X0,X4] :
( ~ member(X4,domain_of(X0))
| null_class != intersection(X0,cross_product(unordered_pair(X4,X4),universal_class)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X4] :
( restrict(X0,singleton(X4),universal_class) != null_class
| ~ member(X4,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f346,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x))
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(duplicate_literal_removal,[],[f344]) ).
fof(f344,plain,
( null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f343,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f343,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x)))
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x)) ),
inference(subsumption_resolution,[],[f342,f331]) ).
fof(f331,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f328,f195]) ).
fof(f328,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f149,f230]) ).
fof(f230,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f226,f2]) ).
fof(f226,plain,
( ~ subclass(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f209,f2]) ).
fof(f209,plain,
( ~ subclass(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| ~ subclass(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(extensionality_resolution,[],[f7,f164]) ).
fof(f164,plain,
complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))) != domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),
inference(definition_unfolding,[],[f114,f26,f12,f119,f125]) ).
fof(f125,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f43,f26,f12]) ).
fof(f43,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f114,axiom,
domain_of(union(x,singleton(ordered_pair(domain_of(x),y)))) != successor(domain_of(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_domain_property7_2) ).
fof(f342,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x)))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x)) ),
inference(resolution,[],[f341,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f341,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x))) ),
inference(subsumption_resolution,[],[f340,f331]) ).
fof(f340,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x)))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f335,f25]) ).
fof(f335,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(unordered_pair(domain_of(x),domain_of(x))))
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x))) ),
inference(resolution,[],[f330,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f330,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f328,f24]) ).
fof(f395,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),universal_class)
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),x)
| unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) = not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class) ),
inference(resolution,[],[f387,f25]) ).
fof(f387,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),complement(x))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) = not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class) ),
inference(duplicate_literal_removal,[],[f385]) ).
fof(f385,plain,
( unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) = not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),complement(x))
| unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) = not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class)
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f382,f8]) ).
fof(f382,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),complement(x))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f381,f359]) ).
fof(f381,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),complement(x))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),universal_class)
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))) ),
inference(resolution,[],[f365,f25]) ).
fof(f365,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),complement(x))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f363,f23]) ).
fof(f363,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f358,f24]) ).
fof(f358,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class) ),
inference(resolution,[],[f356,f21]) ).
fof(f768,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f763,f516]) ).
fof(f516,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(forward_demodulation,[],[f515,f406]) ).
fof(f515,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(universal_class)) ),
inference(forward_demodulation,[],[f433,f406]) ).
fof(f433,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),null_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class) ),
inference(backward_demodulation,[],[f354,f406]) ).
fof(f354,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),null_class)
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class) ),
inference(resolution,[],[f351,f2]) ).
fof(f351,plain,
( ~ subclass(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),null_class) ),
inference(resolution,[],[f349,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f763,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(duplicate_literal_removal,[],[f761]) ).
fof(f761,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x) ),
inference(resolution,[],[f731,f468]) ).
fof(f731,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| ~ member(X0,x)
| member(X0,complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(superposition,[],[f23,f716]) ).
fof(f716,plain,
( complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f689,f411]) ).
fof(f411,plain,
! [X0,X4] :
( ~ member(X4,domain_of(X0))
| complement(universal_class) != intersection(X0,cross_product(unordered_pair(X4,X4),universal_class)) ),
inference(backward_demodulation,[],[f149,f406]) ).
fof(f689,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(duplicate_literal_removal,[],[f687]) ).
fof(f687,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f686,f8]) ).
fof(f686,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x)))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x)) ),
inference(subsumption_resolution,[],[f685,f664]) ).
fof(f664,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f661,f195]) ).
fof(f661,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(subsumption_resolution,[],[f658,f232]) ).
fof(f232,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f195,f230]) ).
fof(f658,plain,
( ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f631,f277]) ).
fof(f277,plain,
( ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),domain_of(x))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f275,f24]) ).
fof(f275,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),complement(domain_of(x)))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f273,f21]) ).
fof(f273,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(subsumption_resolution,[],[f271,f232]) ).
fof(f271,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))
| ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f25,f228]) ).
fof(f228,plain,
( ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f225,f2]) ).
fof(f225,plain,
( ~ subclass(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f209,f3]) ).
fof(f631,plain,
! [X0,X4] :
( member(X4,domain_of(X0))
| complement(universal_class) = intersection(X0,cross_product(unordered_pair(X4,X4),universal_class))
| ~ member(X4,universal_class) ),
inference(forward_demodulation,[],[f165,f406]) ).
fof(f165,plain,
! [X0,X4] :
( ~ member(X4,universal_class)
| member(X4,domain_of(X0))
| null_class = intersection(X0,cross_product(unordered_pair(X4,X4),universal_class)) ),
inference(definition_unfolding,[],[f31,f28,f12]) ).
fof(f31,axiom,
! [X0,X4] :
( ~ member(X4,universal_class)
| restrict(X0,singleton(X4),universal_class) = null_class
| member(X4,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f685,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x)))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class) ),
inference(resolution,[],[f684,f25]) ).
fof(f684,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x)))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(subsumption_resolution,[],[f683,f664]) ).
fof(f683,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x)))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f678,f25]) ).
fof(f678,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(unordered_pair(domain_of(x),domain_of(x))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f663,f23]) ).
fof(f663,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f661,f24]) ).
fof(f802,plain,
( complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),universal_class)
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) ),
inference(resolution,[],[f790,f195]) ).
fof(f468,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(forward_demodulation,[],[f467,f406]) ).
fof(f467,plain,
( complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(forward_demodulation,[],[f436,f406]) ).
fof(f436,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(backward_demodulation,[],[f357,f406]) ).
fof(f357,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),null_class),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(null_class,intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),null_class)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f356,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f1546,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),universal_class) ),
inference(resolution,[],[f864,f195]) ).
fof(f1583,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(domain_of(x),unordered_pair(domain_of(x),domain_of(x)))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(superposition,[],[f282,f1557]) ).
fof(f1557,plain,
( domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(duplicate_literal_removal,[],[f1555]) ).
fof(f1555,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f1551,f8]) ).
fof(f282,plain,
( ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),unordered_pair(domain_of(x),domain_of(x)))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f274,f24]) ).
fof(f274,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),complement(unordered_pair(domain_of(x),domain_of(x))))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f273,f22]) ).
fof(f1843,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f1842,f411]) ).
fof(f1842,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(x)) ),
inference(resolution,[],[f1832,f25]) ).
fof(f1832,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f1831,f8]) ).
fof(f1831,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x))) ),
inference(subsumption_resolution,[],[f1830,f1800]) ).
fof(f1830,plain,
( complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(domain_of(x),domain_of(x))) ),
inference(resolution,[],[f1804,f25]) ).
fof(f1804,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(unordered_pair(domain_of(x),domain_of(x))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(domain_of(x)))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f1799,f23]) ).
fof(f1799,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) != intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f1750,f24]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f1894,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),x)
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f1892,f24]) ).
fof(f1892,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),complement(x))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f1887,f21]) ).
fof(f1887,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class)) ),
inference(subsumption_resolution,[],[f1886,f1857]) ).
fof(f1857,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),universal_class)
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f1853,f195]) ).
fof(f1886,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class))
| ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),universal_class) ),
inference(resolution,[],[f1870,f25]) ).
fof(f1870,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f1865,f1850]) ).
fof(f1850,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),complement(universal_class))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f1847,f2]) ).
fof(f1847,plain,
( ~ subclass(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),complement(universal_class)) ),
inference(resolution,[],[f1845,f3]) ).
fof(f1865,plain,
( member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),complement(universal_class))
| ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))) ),
inference(resolution,[],[f1855,f1493]) ).
fof(f1493,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(X0,complement(universal_class))
| ~ member(X0,complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))) ),
inference(superposition,[],[f23,f1492]) ).
fof(f1492,plain,
complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),
inference(subsumption_resolution,[],[f1408,f1359]) ).
fof(f1359,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f1256,f631]) ).
fof(f1256,plain,
~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),
inference(subsumption_resolution,[],[f1255,f411]) ).
fof(f1255,plain,
( complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f1051,f1022]) ).
fof(f1022,plain,
! [X1] :
( member(domain_of(x),unordered_pair(domain_of(x),X1))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f1019,f9]) ).
fof(f1019,plain,
( member(domain_of(x),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f1013,f195]) ).
fof(f1013,plain,
( member(domain_of(x),unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f1011,f148]) ).
fof(f1011,plain,
( member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f996,f995]) ).
fof(f995,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),universal_class)
| member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f955,f24]) ).
fof(f955,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(duplicate_literal_removal,[],[f920]) ).
fof(f920,plain,
( complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(superposition,[],[f698,f891]) ).
fof(f891,plain,
( not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f887,f886]) ).
fof(f886,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) ),
inference(resolution,[],[f812,f24]) ).
fof(f812,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f811,f727]) ).
fof(f727,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f726,f675]) ).
fof(f675,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f670,f2]) ).
fof(f670,plain,
( ~ subclass(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f668,f3]) ).
fof(f668,plain,
( ~ subclass(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class))
| ~ subclass(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(extensionality_resolution,[],[f7,f660]) ).
fof(f660,plain,
( intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) != complement(universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f656,f421]) ).
fof(f421,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) != complement(universal_class) ),
inference(backward_demodulation,[],[f331,f406]) ).
fof(f656,plain,
( complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) != complement(universal_class) ),
inference(resolution,[],[f631,f418]) ).
fof(f418,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) != complement(universal_class) ),
inference(backward_demodulation,[],[f327,f406]) ).
fof(f327,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f149,f229]) ).
fof(f229,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f226,f3]) ).
fof(f726,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(duplicate_literal_removal,[],[f724]) ).
fof(f724,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f698,f690]) ).
fof(f690,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(X0,complement(universal_class))
| ~ member(X0,x) ),
inference(superposition,[],[f23,f673]) ).
fof(f673,plain,
( complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f672,f664]) ).
fof(f672,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f659,f631]) ).
fof(f659,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(subsumption_resolution,[],[f657,f231]) ).
fof(f231,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f195,f229]) ).
fof(f657,plain,
( complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f631,f284]) ).
fof(f284,plain,
( ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),domain_of(x))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f280,f24]) ).
fof(f280,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),complement(domain_of(x)))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f272,f21]) ).
fof(f272,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(subsumption_resolution,[],[f270,f231]) ).
fof(f270,plain,
( ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),universal_class)
| member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))) ),
inference(resolution,[],[f25,f227]) ).
fof(f227,plain,
( ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f225,f3]) ).
fof(f811,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(subsumption_resolution,[],[f810,f700]) ).
fof(f700,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f677,f195]) ).
fof(f677,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f671,f2]) ).
fof(f671,plain,
( ~ subclass(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))) ),
inference(resolution,[],[f668,f2]) ).
fof(f810,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) ),
inference(resolution,[],[f805,f25]) ).
fof(f805,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(duplicate_literal_removal,[],[f803]) ).
fof(f803,plain,
( complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x)) ),
inference(resolution,[],[f798,f8]) ).
fof(f798,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f797,f700]) ).
fof(f797,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),universal_class)
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f773,f25]) ).
fof(f773,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x)) ),
inference(resolution,[],[f722,f23]) ).
fof(f722,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f699,f24]) ).
fof(f699,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f677,f21]) ).
fof(f887,plain,
( not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f812,f195]) ).
fof(f698,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f677,f22]) ).
fof(f996,plain,
( member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f955,f195]) ).
fof(f1051,plain,
( complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(domain_of(x),unordered_pair(domain_of(x),domain_of(x)))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(superposition,[],[f286,f1020]) ).
fof(f1020,plain,
( domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(duplicate_literal_removal,[],[f1018]) ).
fof(f1018,plain,
( domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f1013,f8]) ).
fof(f286,plain,
( ~ member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),unordered_pair(domain_of(x),domain_of(x)))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f279,f24]) ).
fof(f279,plain,
( member(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),complement(unordered_pair(domain_of(x),domain_of(x))))
| ~ member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f272,f22]) ).
fof(f1408,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),universal_class)
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(resolution,[],[f1233,f195]) ).
fof(f1233,plain,
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)) ),
inference(subsumption_resolution,[],[f1049,f1022]) ).
fof(f1049,plain,
( complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(domain_of(x),unordered_pair(domain_of(x),domain_of(x)))
| member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(superposition,[],[f282,f1020]) ).
fof(f1855,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class)),complement(universal_class)),cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),complement(universal_class))
| domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))) ),
inference(resolution,[],[f1853,f22]) ).
fof(f1898,plain,
( domain_of(x) = not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))),universal_class) ),
inference(resolution,[],[f1896,f195]) ).
fof(f1494,plain,
! [X1] :
( member(X1,cross_product(unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))))),universal_class))
| ~ member(X1,complement(universal_class)) ),
inference(superposition,[],[f22,f1492]) ).
fof(f2155,plain,
! [X0] :
( ~ member(X0,complement(universal_class))
| ~ member(X0,cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class)) ),
inference(resolution,[],[f2154,f1496]) ).
fof(f1496,plain,
! [X0] :
( ~ member(X0,intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))
| ~ member(X0,complement(universal_class)) ),
inference(resolution,[],[f1495,f24]) ).
fof(f1495,plain,
! [X2] :
( member(X2,complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))
| ~ member(X2,complement(universal_class)) ),
inference(superposition,[],[f21,f1492]) ).
fof(f2154,plain,
! [X2] :
( member(X2,intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))
| ~ member(X2,cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class)) ),
inference(subsumption_resolution,[],[f2153,f195]) ).
fof(f2153,plain,
! [X2] :
( ~ member(X2,universal_class)
| member(X2,intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))
| ~ member(X2,cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class)) ),
inference(subsumption_resolution,[],[f2151,f24]) ).
fof(f2151,plain,
! [X2] :
( ~ member(X2,cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class))
| member(X2,intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))
| member(X2,complement(universal_class))
| ~ member(X2,universal_class) ),
inference(resolution,[],[f2004,f25]) ).
fof(f2004,plain,
! [X0] :
( ~ member(X0,complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))
| member(X0,complement(universal_class))
| ~ member(X0,cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class)) ),
inference(backward_demodulation,[],[f1493,f1899]) ).
fof(f2361,plain,
member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),complement(universal_class)),
inference(forward_demodulation,[],[f2360,f2123]) ).
fof(f2123,plain,
complement(universal_class) = intersection(cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class),complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),
inference(superposition,[],[f2003,f178]) ).
fof(f178,plain,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5),
inference(definition_unfolding,[],[f29,f28]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f2003,plain,
complement(universal_class) = intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class)),
inference(backward_demodulation,[],[f1492,f1899]) ).
fof(f2360,plain,
member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),intersection(cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class),complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),
inference(forward_demodulation,[],[f2356,f178]) ).
fof(f2356,plain,
member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class))),
inference(backward_demodulation,[],[f2289,f2320]) ).
fof(f2320,plain,
domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),
inference(duplicate_literal_removal,[],[f2318]) ).
fof(f2318,plain,
( domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))
| domain_of(x) = not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))) ),
inference(resolution,[],[f2315,f8]) ).
fof(f2315,plain,
member(domain_of(x),unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))))),
inference(resolution,[],[f2290,f148]) ).
fof(f2290,plain,
member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),
inference(backward_demodulation,[],[f2258,f2287]) ).
fof(f2287,plain,
not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),
inference(subsumption_resolution,[],[f2286,f2269]) ).
fof(f2269,plain,
~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x),
inference(resolution,[],[f2258,f2248]) ).
fof(f2248,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| ~ member(X0,x) ),
inference(subsumption_resolution,[],[f2245,f2161]) ).
fof(f2245,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))
| member(X0,complement(universal_class)) ),
inference(superposition,[],[f23,f2241]) ).
fof(f2241,plain,
complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),
inference(resolution,[],[f2240,f1963]) ).
fof(f1963,plain,
! [X1] :
( member(domain_of(x),unordered_pair(domain_of(x),X1))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(backward_demodulation,[],[f666,f1899]) ).
fof(f666,plain,
! [X1] :
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),X1))
| complement(universal_class) = intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f664,f9]) ).
fof(f2240,plain,
~ member(domain_of(x),unordered_pair(domain_of(x),domain_of(x))),
inference(subsumption_resolution,[],[f2237,f632]) ).
fof(f632,plain,
member(y,universal_class),
inference(resolution,[],[f169,f152]) ).
fof(f152,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f113,f119]) ).
fof(f113,axiom,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_domain_property7_1) ).
fof(f169,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X3,X1) ),
inference(definition_unfolding,[],[f15,f119]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f2237,plain,
( ~ member(domain_of(x),unordered_pair(domain_of(x),domain_of(x)))
| ~ member(y,universal_class) ),
inference(resolution,[],[f153,f2178]) ).
fof(f2178,plain,
~ member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class)),
inference(resolution,[],[f2175,f187]) ).
fof(f187,plain,
! [X2,X0,X1] : member(unordered_pair(X0,X1),unordered_pair(unordered_pair(X0,X1),X2)),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f2175,plain,
! [X2] :
( ~ member(X2,unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))
| ~ member(X2,cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class)) ),
inference(resolution,[],[f2157,f24]) ).
fof(f2157,plain,
! [X2] :
( member(X2,complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))
| ~ member(X2,cross_product(unordered_pair(domain_of(x),domain_of(x)),universal_class)) ),
inference(resolution,[],[f2154,f22]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| ~ member(X3,X1)
| ~ member(X2,X0) ),
inference(definition_unfolding,[],[f16,f119]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X2,X0)
| ~ member(X3,X1)
| member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f2286,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x)
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) ),
inference(subsumption_resolution,[],[f2285,f2260]) ).
fof(f2260,plain,
member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),universal_class),
inference(resolution,[],[f2257,f195]) ).
fof(f2257,plain,
member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),
inference(subsumption_resolution,[],[f2256,f2161]) ).
fof(f2256,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| member(not_subclass_element(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f2254,f2]) ).
fof(f2254,plain,
( ~ subclass(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))) ),
inference(resolution,[],[f2249,f2]) ).
fof(f2249,plain,
( ~ subclass(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class))
| ~ subclass(complement(universal_class),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))) ),
inference(extensionality_resolution,[],[f7,f2242]) ).
fof(f2242,plain,
intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) != complement(universal_class),
inference(resolution,[],[f2240,f1925]) ).
fof(f1925,plain,
! [X1] :
( member(domain_of(x),unordered_pair(domain_of(x),X1))
| intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) != complement(universal_class) ),
inference(backward_demodulation,[],[f423,f1899]) ).
fof(f423,plain,
! [X1] :
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),X1))
| intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) != complement(universal_class) ),
inference(backward_demodulation,[],[f333,f406]) ).
fof(f333,plain,
! [X1] :
( member(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),unordered_pair(not_subclass_element(complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))),domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))))),X1))
| null_class != intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)) ),
inference(resolution,[],[f331,f9]) ).
fof(f2285,plain,
( not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),universal_class)
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),x) ),
inference(resolution,[],[f2283,f25]) ).
fof(f2283,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) ),
inference(duplicate_literal_removal,[],[f2281]) ).
fof(f2281,plain,
( not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x))
| not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))) ),
inference(resolution,[],[f2279,f8]) ).
fof(f2279,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x)) ),
inference(subsumption_resolution,[],[f2278,f2260]) ).
fof(f2278,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),universal_class)
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x)) ),
inference(resolution,[],[f2272,f25]) ).
fof(f2272,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(x)) ),
inference(resolution,[],[f2265,f23]) ).
fof(f2265,plain,
~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),
inference(resolution,[],[f2259,f24]) ).
fof(f2259,plain,
member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),
inference(resolution,[],[f2257,f21]) ).
fof(f2258,plain,
member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),complement(universal_class)),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class)),
inference(resolution,[],[f2257,f22]) ).
fof(f2289,plain,
member(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),intersection(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))))))),cross_product(unordered_pair(not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x)))))),not_subclass_element(domain_of(complement(intersection(complement(x),complement(unordered_pair(unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y))),unordered_pair(unordered_pair(domain_of(x),domain_of(x)),unordered_pair(domain_of(x),unordered_pair(y,y)))))))),complement(intersection(complement(domain_of(x)),complement(unordered_pair(domain_of(x),domain_of(x))))))),universal_class))),
inference(backward_demodulation,[],[f2257,f2287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET286-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 13:48:21 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (30504)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (30503)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (30508)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (30517)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (30519)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (30524)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (30516)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (30512)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.52 % (30497)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.52 % (30496)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.36/0.52 % (30511)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.36/0.52 % (30502)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.52 % (30500)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.53 % (30523)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.36/0.53 % (30501)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.36/0.53 % (30513)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.36/0.53 % (30525)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.36/0.53 % (30499)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.53 % (30498)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.36/0.53 % (30509)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.53 % (30510)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.36/0.53 % (30504)Instruction limit reached!
% 1.36/0.53 % (30504)------------------------------
% 1.36/0.53 % (30504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (30504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (30504)Termination reason: Unknown
% 1.36/0.53 % (30504)Termination phase: Property scanning
% 1.36/0.53
% 1.36/0.53 % (30504)Memory used [KB]: 1023
% 1.36/0.53 % (30504)Time elapsed: 0.004 s
% 1.36/0.53 % (30504)Instructions burned: 4 (million)
% 1.36/0.53 % (30504)------------------------------
% 1.36/0.53 % (30504)------------------------------
% 1.36/0.53 % (30505)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.54 % (30522)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.36/0.54 % (30515)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.54 % (30503)Instruction limit reached!
% 1.36/0.54 % (30503)------------------------------
% 1.36/0.54 % (30503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (30506)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.54 % (30518)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.36/0.54 % (30507)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.54 % (30520)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.54 % (30521)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.55 % (30514)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.55 % (30503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (30503)Termination reason: Unknown
% 1.50/0.55 % (30503)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (30503)Memory used [KB]: 5628
% 1.50/0.55 % (30503)Time elapsed: 0.119 s
% 1.50/0.55 % (30503)Instructions burned: 8 (million)
% 1.50/0.55 % (30503)------------------------------
% 1.50/0.55 % (30503)------------------------------
% 1.50/0.58 % (30497)Refutation not found, incomplete strategy% (30497)------------------------------
% 1.50/0.58 % (30497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (30498)Instruction limit reached!
% 1.50/0.58 % (30498)------------------------------
% 1.50/0.58 % (30498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (30498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (30498)Termination reason: Unknown
% 1.50/0.59 % (30498)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (30498)Memory used [KB]: 1791
% 1.50/0.59 % (30498)Time elapsed: 0.167 s
% 1.50/0.59 % (30498)Instructions burned: 37 (million)
% 1.50/0.59 % (30498)------------------------------
% 1.50/0.59 % (30498)------------------------------
% 1.50/0.59 % (30502)Instruction limit reached!
% 1.50/0.59 % (30502)------------------------------
% 1.50/0.59 % (30502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (30502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (30502)Termination reason: Unknown
% 1.50/0.59 % (30502)Termination phase: Finite model building preprocessing
% 1.50/0.59
% 1.50/0.59 % (30502)Memory used [KB]: 1663
% 1.50/0.59 % (30502)Time elapsed: 0.023 s
% 1.50/0.59 % (30502)Instructions burned: 51 (million)
% 1.50/0.59 % (30502)------------------------------
% 1.50/0.59 % (30502)------------------------------
% 1.50/0.60 % (30497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.60 % (30497)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.60
% 1.50/0.60 % (30497)Memory used [KB]: 6396
% 1.50/0.60 % (30497)Time elapsed: 0.170 s
% 1.50/0.60 % (30497)Instructions burned: 46 (million)
% 1.50/0.60 % (30497)------------------------------
% 1.50/0.60 % (30497)------------------------------
% 1.50/0.60 % (30500)Instruction limit reached!
% 1.50/0.60 % (30500)------------------------------
% 1.50/0.60 % (30500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.60 % (30500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.60 % (30500)Termination reason: Unknown
% 1.50/0.60 % (30500)Termination phase: Saturation
% 1.50/0.60
% 1.50/0.60 % (30500)Memory used [KB]: 6652
% 1.50/0.60 % (30500)Time elapsed: 0.207 s
% 1.50/0.60 % (30500)Instructions burned: 51 (million)
% 1.50/0.60 % (30500)------------------------------
% 1.50/0.60 % (30500)------------------------------
% 1.50/0.60 % (30513)Instruction limit reached!
% 1.50/0.60 % (30513)------------------------------
% 1.50/0.60 % (30513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.60 % (30513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.60 % (30513)Termination reason: Unknown
% 1.50/0.60 % (30513)Termination phase: Finite model building preprocessing
% 1.50/0.60
% 1.50/0.60 % (30513)Memory used [KB]: 1535
% 1.50/0.60 % (30513)Time elapsed: 0.025 s
% 1.50/0.60 % (30513)Instructions burned: 59 (million)
% 1.50/0.60 % (30513)------------------------------
% 1.50/0.60 % (30513)------------------------------
% 1.50/0.61 % (30501)Instruction limit reached!
% 1.50/0.61 % (30501)------------------------------
% 1.50/0.61 % (30501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (30499)Instruction limit reached!
% 1.50/0.62 % (30499)------------------------------
% 1.50/0.62 % (30499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (30499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62 % (30499)Termination reason: Unknown
% 1.50/0.62 % (30499)Termination phase: Saturation
% 1.50/0.62
% 1.50/0.62 % (30505)Instruction limit reached!
% 1.50/0.62 % (30505)------------------------------
% 1.50/0.62 % (30505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (30505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62 % (30505)Termination reason: Unknown
% 1.50/0.62 % (30505)Termination phase: Saturation
% 1.50/0.62
% 1.50/0.62 % (30505)Memory used [KB]: 2046
% 1.50/0.62 % (30505)Time elapsed: 0.207 s
% 1.50/0.62 % (30505)Instructions burned: 52 (million)
% 1.50/0.62 % (30505)------------------------------
% 1.50/0.62 % (30505)------------------------------
% 1.50/0.62 % (30499)Memory used [KB]: 7036
% 1.50/0.62 % (30499)Time elapsed: 0.187 s
% 1.50/0.62 % (30499)Instructions burned: 51 (million)
% 1.50/0.62 % (30499)------------------------------
% 1.50/0.62 % (30499)------------------------------
% 1.50/0.62 % (30506)Instruction limit reached!
% 1.50/0.62 % (30506)------------------------------
% 1.50/0.62 % (30506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (30506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62 % (30506)Termination reason: Unknown
% 1.50/0.62 % (30506)Termination phase: Saturation
% 1.50/0.62
% 1.50/0.62 % (30506)Memory used [KB]: 6652
% 1.50/0.62 % (30506)Time elapsed: 0.208 s
% 1.50/0.62 % (30506)Instructions burned: 51 (million)
% 1.50/0.62 % (30506)------------------------------
% 1.50/0.62 % (30506)------------------------------
% 1.50/0.63 % (30501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.63 % (30501)Termination reason: Unknown
% 1.50/0.63 % (30501)Termination phase: Saturation
% 1.50/0.63
% 1.50/0.63 % (30501)Memory used [KB]: 6268
% 1.50/0.63 % (30501)Time elapsed: 0.220 s
% 1.50/0.63 % (30501)Instructions burned: 49 (million)
% 1.50/0.63 % (30501)------------------------------
% 1.50/0.63 % (30501)------------------------------
% 2.23/0.65 % (30522)Instruction limit reached!
% 2.23/0.65 % (30522)------------------------------
% 2.23/0.65 % (30522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (30522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (30522)Termination reason: Unknown
% 2.23/0.65 % (30522)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (30522)Memory used [KB]: 7164
% 2.23/0.65 % (30522)Time elapsed: 0.040 s
% 2.23/0.65 % (30522)Instructions burned: 68 (million)
% 2.23/0.65 % (30522)------------------------------
% 2.23/0.65 % (30522)------------------------------
% 2.23/0.66 % (30510)Instruction limit reached!
% 2.23/0.66 % (30510)------------------------------
% 2.23/0.66 % (30510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66 % (30510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66 % (30510)Termination reason: Unknown
% 2.23/0.66 % (30510)Termination phase: Saturation
% 2.23/0.66
% 2.23/0.66 % (30510)Memory used [KB]: 7164
% 2.23/0.66 % (30510)Time elapsed: 0.039 s
% 2.23/0.66 % (30510)Instructions burned: 68 (million)
% 2.23/0.66 % (30510)------------------------------
% 2.23/0.66 % (30510)------------------------------
% 2.23/0.66 % (30515)Instruction limit reached!
% 2.23/0.66 % (30515)------------------------------
% 2.23/0.66 % (30515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66 % (30515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66 % (30515)Termination reason: Unknown
% 2.23/0.66 % (30515)Termination phase: Saturation
% 2.23/0.66
% 2.23/0.66 % (30515)Memory used [KB]: 2686
% 2.23/0.66 % (30515)Time elapsed: 0.261 s
% 2.23/0.66 % (30515)Instructions burned: 100 (million)
% 2.23/0.66 % (30515)------------------------------
% 2.23/0.66 % (30515)------------------------------
% 2.23/0.66 % (30583)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.23/0.67 % (30511)Instruction limit reached!
% 2.23/0.67 % (30511)------------------------------
% 2.23/0.67 % (30511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68 % (30511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68 % (30511)Termination reason: Unknown
% 2.23/0.68 % (30511)Termination phase: Saturation
% 2.23/0.68
% 2.23/0.68 % (30511)Memory used [KB]: 2302
% 2.23/0.68 % (30511)Time elapsed: 0.222 s
% 2.23/0.68 % (30511)Instructions burned: 75 (million)
% 2.23/0.68 % (30511)------------------------------
% 2.23/0.68 % (30511)------------------------------
% 2.23/0.68 % (30590)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.23/0.69 % (30508)Instruction limit reached!
% 2.23/0.69 % (30508)------------------------------
% 2.23/0.69 % (30508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.70 % (30508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.70 % (30508)Termination reason: Unknown
% 2.49/0.70 % (30508)Termination phase: Saturation
% 2.49/0.70
% 2.49/0.70 % (30508)Memory used [KB]: 7419
% 2.49/0.70 % (30508)Time elapsed: 0.300 s
% 2.49/0.70 % (30508)Instructions burned: 101 (million)
% 2.49/0.70 % (30508)------------------------------
% 2.49/0.70 % (30508)------------------------------
% 2.49/0.71 % (30620)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.49/0.71 % (30616)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.49/0.71 % (30514)Instruction limit reached!
% 2.49/0.71 % (30514)------------------------------
% 2.49/0.71 % (30514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.71 % (30514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.71 % (30514)Termination reason: Unknown
% 2.49/0.71 % (30514)Termination phase: Saturation
% 2.49/0.71
% 2.49/0.71 % (30514)Memory used [KB]: 7931
% 2.49/0.71 % (30514)Time elapsed: 0.298 s
% 2.49/0.71 % (30514)Instructions burned: 101 (million)
% 2.49/0.71 % (30514)------------------------------
% 2.49/0.71 % (30514)------------------------------
% 2.49/0.71 % (30509)Instruction limit reached!
% 2.49/0.71 % (30509)------------------------------
% 2.49/0.71 % (30509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.71 % (30509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.71 % (30509)Termination reason: Unknown
% 2.49/0.71 % (30509)Termination phase: Saturation
% 2.49/0.71
% 2.49/0.71 % (30509)Memory used [KB]: 7931
% 2.49/0.71 % (30509)Time elapsed: 0.311 s
% 2.49/0.71 % (30509)Instructions burned: 101 (million)
% 2.49/0.71 % (30509)------------------------------
% 2.49/0.71 % (30509)------------------------------
% 2.49/0.72 % (30507)Instruction limit reached!
% 2.49/0.72 % (30507)------------------------------
% 2.49/0.72 % (30507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.72 % (30507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.72 % (30507)Termination reason: Unknown
% 2.49/0.72 % (30507)Termination phase: Saturation
% 2.49/0.72
% 2.49/0.72 % (30507)Memory used [KB]: 7675
% 2.49/0.72 % (30507)Time elapsed: 0.320 s
% 2.49/0.72 % (30507)Instructions burned: 101 (million)
% 2.49/0.72 % (30507)------------------------------
% 2.49/0.72 % (30507)------------------------------
% 2.49/0.73 % (30644)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.49/0.74 % (30628)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.49/0.74 % (30512)Instruction limit reached!
% 2.49/0.74 % (30512)------------------------------
% 2.49/0.74 % (30512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.74 % (30512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.74 % (30512)Termination reason: Unknown
% 2.49/0.74 % (30512)Termination phase: Saturation
% 2.49/0.74
% 2.49/0.74 % (30512)Memory used [KB]: 6908
% 2.49/0.74 % (30512)Time elapsed: 0.327 s
% 2.49/0.74 % (30512)Instructions burned: 100 (million)
% 2.49/0.74 % (30512)------------------------------
% 2.49/0.74 % (30512)------------------------------
% 2.49/0.74 % (30642)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.49/0.74 % (30632)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.49/0.75 % (30643)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.49/0.75 % (30516)Instruction limit reached!
% 2.49/0.75 % (30516)------------------------------
% 2.49/0.75 % (30516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.75 % (30516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.75 % (30516)Termination reason: Unknown
% 2.49/0.75 % (30516)Termination phase: Saturation
% 2.49/0.75
% 2.49/0.75 % (30516)Memory used [KB]: 7547
% 2.49/0.75 % (30516)Time elapsed: 0.354 s
% 2.49/0.75 % (30516)Instructions burned: 176 (million)
% 2.49/0.75 % (30516)------------------------------
% 2.49/0.75 % (30516)------------------------------
% 2.49/0.75 % (30654)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.49/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.78/0.76 % (30645)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.78/0.79 % (30517)Instruction limit reached!
% 2.78/0.79 % (30517)------------------------------
% 2.78/0.79 % (30517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.79 % (30517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.79 % (30517)Termination reason: Unknown
% 2.78/0.79 % (30517)Termination phase: Saturation
% 2.78/0.79
% 2.78/0.79 % (30517)Memory used [KB]: 8059
% 2.78/0.79 % (30517)Time elapsed: 0.398 s
% 2.78/0.79 % (30517)Instructions burned: 138 (million)
% 2.78/0.79 % (30517)------------------------------
% 2.78/0.79 % (30517)------------------------------
% 2.90/0.80 % (30673)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.90/0.80 % (30667)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.90/0.81 % (30679)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.90/0.81 % (30675)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.90/0.83 % (30687)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.97/0.85 % (30700)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.97/0.86 % (30695)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.97/0.86 % (30699)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.97/0.86 % (30701)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 2.97/0.86 % (30643)Instruction limit reached!
% 2.97/0.86 % (30643)------------------------------
% 2.97/0.86 % (30643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.86 % (30643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.87 % (30643)Termination reason: Unknown
% 2.97/0.87 % (30643)Termination phase: Saturation
% 2.97/0.87
% 2.97/0.87 % (30643)Memory used [KB]: 7164
% 2.97/0.87 % (30643)Time elapsed: 0.037 s
% 2.97/0.87 % (30643)Instructions burned: 68 (million)
% 2.97/0.87 % (30643)------------------------------
% 2.97/0.87 % (30643)------------------------------
% 2.97/0.87 % (30693)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.97/0.89 % (30616)Instruction limit reached!
% 2.97/0.89 % (30616)------------------------------
% 2.97/0.89 % (30616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.89 % (30616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.89 % (30616)Termination reason: Unknown
% 2.97/0.89 % (30616)Termination phase: Saturation
% 2.97/0.89
% 2.97/0.89 % (30616)Memory used [KB]: 6524
% 2.97/0.89 % (30616)Time elapsed: 0.225 s
% 2.97/0.89 % (30616)Instructions burned: 91 (million)
% 2.97/0.89 % (30616)------------------------------
% 2.97/0.89 % (30616)------------------------------
% 2.97/0.90 % (30523)Instruction limit reached!
% 2.97/0.90 % (30523)------------------------------
% 2.97/0.90 % (30523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.90 % (30523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.90 % (30523)Termination reason: Unknown
% 2.97/0.90 % (30523)Termination phase: Saturation
% 2.97/0.90
% 2.97/0.90 % (30523)Memory used [KB]: 3454
% 2.97/0.90 % (30523)Time elapsed: 0.483 s
% 2.97/0.90 % (30523)Instructions burned: 177 (million)
% 2.97/0.90 % (30523)------------------------------
% 2.97/0.90 % (30523)------------------------------
% 2.97/0.91 % (30654)Instruction limit reached!
% 2.97/0.91 % (30654)------------------------------
% 2.97/0.91 % (30654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.91 % (30654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.91 % (30654)Termination reason: Unknown
% 2.97/0.91 % (30654)Termination phase: Saturation
% 2.97/0.91
% 2.97/0.91 % (30654)Memory used [KB]: 6908
% 2.97/0.91 % (30654)Time elapsed: 0.261 s
% 2.97/0.91 % (30654)Instructions burned: 92 (million)
% 2.97/0.91 % (30654)------------------------------
% 2.97/0.91 % (30654)------------------------------
% 2.97/0.92 % (30712)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.38/0.97 % (30695)Instruction limit reached!
% 3.38/0.97 % (30695)------------------------------
% 3.38/0.97 % (30695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.98 % (30695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.98 % (30695)Termination reason: Unknown
% 3.38/0.98 % (30695)Termination phase: Saturation
% 3.38/0.98
% 3.38/0.98 % (30695)Memory used [KB]: 7036
% 3.38/0.98 % (30695)Time elapsed: 0.035 s
% 3.38/0.98 % (30695)Instructions burned: 70 (million)
% 3.38/0.98 % (30695)------------------------------
% 3.38/0.98 % (30695)------------------------------
% 3.56/0.99 % (30737)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.56/1.01 % (30744)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.56/1.03 % (30750)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.56/1.04 TRYING [1]
% 3.56/1.05 % (30760)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.67/1.06 % (30590)Instruction limit reached!
% 3.67/1.06 % (30590)------------------------------
% 3.67/1.06 % (30590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.07 TRYING [2]
% 3.67/1.07 % (30590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.07 % (30590)Termination reason: Unknown
% 3.67/1.07 % (30590)Termination phase: Saturation
% 3.67/1.07
% 3.67/1.07 % (30590)Memory used [KB]: 4349
% 3.67/1.07 % (30590)Time elapsed: 0.482 s
% 3.67/1.07 % (30590)Instructions burned: 212 (million)
% 3.67/1.07 % (30590)------------------------------
% 3.67/1.07 % (30590)------------------------------
% 5.63/1.09 % (30518)Instruction limit reached!
% 5.63/1.09 % (30518)------------------------------
% 5.63/1.09 % (30518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.63/1.10 % (30518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.63/1.10 % (30518)Termination reason: Unknown
% 5.63/1.10 % (30518)Termination phase: Saturation
% 5.63/1.10
% 5.63/1.10 % (30518)Memory used [KB]: 2430
% 5.63/1.10 % (30518)Time elapsed: 0.698 s
% 5.63/1.10 % (30518)Instructions burned: 499 (million)
% 5.63/1.10 % (30518)------------------------------
% 5.63/1.10 % (30518)------------------------------
% 6.00/1.12 % (30782)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.00/1.13 % (30737)Instruction limit reached!
% 6.00/1.13 % (30737)------------------------------
% 6.00/1.13 % (30737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.00/1.15 % (30737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.00/1.15 % (30737)Termination reason: Unknown
% 6.00/1.15 % (30737)Termination phase: Saturation
% 6.00/1.15
% 6.00/1.15 % (30737)Memory used [KB]: 6908
% 6.00/1.15 % (30737)Time elapsed: 0.239 s
% 6.00/1.15 % (30737)Instructions burned: 90 (million)
% 6.00/1.15 % (30737)------------------------------
% 6.00/1.15 % (30737)------------------------------
% 6.31/1.16 % (30525)Instruction limit reached!
% 6.31/1.16 % (30525)------------------------------
% 6.31/1.16 % (30525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.31/1.16 % (30525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.31/1.16 % (30525)Termination reason: Unknown
% 6.31/1.17 % (30525)Termination phase: Saturation
% 6.31/1.17
% 6.31/1.17 % (30525)Memory used [KB]: 10490
% 6.31/1.17 % (30525)Time elapsed: 0.703 s
% 6.31/1.17 % (30525)Instructions burned: 355 (million)
% 6.31/1.17 % (30525)------------------------------
% 6.31/1.17 % (30525)------------------------------
% 6.31/1.19 % (30519)Instruction limit reached!
% 6.31/1.19 % (30519)------------------------------
% 6.31/1.19 % (30519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.31/1.19 % (30783)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.31/1.19 % (30519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.31/1.19 % (30519)Termination reason: Unknown
% 6.31/1.19 % (30519)Termination phase: Saturation
% 6.31/1.19
% 6.31/1.19 % (30519)Memory used [KB]: 12281
% 6.31/1.19 % (30519)Time elapsed: 0.704 s
% 6.31/1.19 % (30519)Instructions burned: 469 (million)
% 6.31/1.19 % (30519)------------------------------
% 6.31/1.19 % (30519)------------------------------
% 6.31/1.20 % (30524)Instruction limit reached!
% 6.31/1.20 % (30524)------------------------------
% 6.31/1.20 % (30524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.31/1.21 % (30524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.31/1.21 % (30524)Termination reason: Unknown
% 6.31/1.21 % (30524)Termination phase: Saturation
% 6.31/1.21
% 6.31/1.21 % (30524)Memory used [KB]: 10874
% 6.31/1.21 % (30524)Time elapsed: 0.814 s
% 6.31/1.21 % (30524)Instructions burned: 441 (million)
% 6.31/1.21 % (30524)------------------------------
% 6.31/1.21 % (30524)------------------------------
% 6.31/1.22 % (30784)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.91/1.24 % (30520)Instruction limit reached!
% 6.91/1.24 % (30520)------------------------------
% 6.91/1.24 % (30520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.91/1.26 % (30520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.91/1.26 % (30520)Termination reason: Unknown
% 6.91/1.26 % (30520)Termination phase: Saturation
% 6.91/1.26
% 6.91/1.26 % (30520)Memory used [KB]: 9466
% 6.91/1.26 % (30520)Time elapsed: 0.747 s
% 6.91/1.26 % (30520)Instructions burned: 483 (million)
% 6.91/1.26 % (30520)------------------------------
% 6.91/1.26 % (30520)------------------------------
% 7.18/1.29 % (30786)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.18/1.29 % (30785)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.18/1.32 % (30787)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.60/1.35 % (30788)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/44001Mi)
% 7.67/1.38 % (30521)Instruction limit reached!
% 7.67/1.38 % (30521)------------------------------
% 7.67/1.38 % (30521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.38 % (30521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.38 % (30521)Termination reason: Unknown
% 7.67/1.38 % (30521)Termination phase: Saturation
% 7.67/1.38
% 7.67/1.38 % (30521)Memory used [KB]: 12153
% 7.67/1.38 % (30521)Time elapsed: 0.964 s
% 7.67/1.38 % (30521)Instructions burned: 500 (million)
% 7.67/1.38 % (30521)------------------------------
% 7.67/1.38 % (30521)------------------------------
% 7.67/1.38 % (30583)Instruction limit reached!
% 7.67/1.38 % (30583)------------------------------
% 7.67/1.38 % (30583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.38 % (30583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.38 % (30583)Termination reason: Unknown
% 7.67/1.38 % (30583)Termination phase: Saturation
% 7.67/1.38
% 7.67/1.38 % (30583)Memory used [KB]: 10234
% 7.67/1.38 % (30583)Time elapsed: 0.818 s
% 7.67/1.38 % (30583)Instructions burned: 389 (million)
% 7.67/1.38 % (30583)------------------------------
% 7.67/1.38 % (30583)------------------------------
% 7.67/1.39 % (30789)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4958Mi)
% 7.98/1.42 TRYING [3]
% 8.23/1.47 % (30642)First to succeed.
% 8.23/1.48 % (30787)Instruction limit reached!
% 8.23/1.48 % (30787)------------------------------
% 8.23/1.48 % (30787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.23/1.49 % (30787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.23/1.49 % (30787)Termination reason: Unknown
% 8.23/1.49 % (30787)Termination phase: Saturation
% 8.23/1.49
% 8.23/1.49 % (30787)Memory used [KB]: 6908
% 8.23/1.49 % (30787)Time elapsed: 0.265 s
% 8.23/1.49 % (30787)Instructions burned: 91 (million)
% 8.23/1.49 % (30787)------------------------------
% 8.23/1.49 % (30787)------------------------------
% 8.23/1.52 % (30791)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 8.23/1.52 % (30790)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 8.79/1.57 % (30667)Also succeeded, but the first one will report.
% 8.79/1.58 % (30642)Refutation found. Thanks to Tanya!
% 8.79/1.58 % SZS status Unsatisfiable for theBenchmark
% 8.79/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 8.79/1.58 % (30642)------------------------------
% 8.79/1.58 % (30642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.79/1.58 % (30642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.79/1.58 % (30642)Termination reason: Refutation
% 8.79/1.58
% 8.79/1.58 % (30642)Memory used [KB]: 4861
% 8.79/1.58 % (30642)Time elapsed: 0.856 s
% 8.79/1.58 % (30642)Instructions burned: 620 (million)
% 8.79/1.58 % (30642)------------------------------
% 8.79/1.58 % (30642)------------------------------
% 8.79/1.58 % (30495)Success in time 1.227 s
%------------------------------------------------------------------------------