TSTP Solution File: SET100-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET100-6 : 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 : n012.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 18:23:42 EDT 2022
% Result : Unsatisfiable 2.19s 0.62s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 79
% Number of leaves : 16
% Syntax : Number of formulae : 178 ( 14 unt; 0 def)
% Number of atoms : 498 ( 231 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 472 ( 152 ~; 320 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1318,plain,
$false,
inference(subsumption_resolution,[],[f1316,f1298]) ).
fof(f1298,plain,
! [X1] : member(x,unordered_pair(x,X1)),
inference(resolution,[],[f1288,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(f1288,plain,
member(x,universal_class),
inference(subsumption_resolution,[],[f1263,f157]) ).
fof(f157,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,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f1263,plain,
( member(x,unordered_pair(x,y))
| member(x,universal_class) ),
inference(backward_demodulation,[],[f1044,f1255]) ).
fof(f1255,plain,
x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),
inference(subsumption_resolution,[],[f1253,f1217]) ).
fof(f1217,plain,
! [X1] :
( member(x,unordered_pair(x,X1))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f1215,f9]) ).
fof(f1215,plain,
( member(x,universal_class)
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f1213,f157]) ).
fof(f1213,plain,
( member(x,unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(duplicate_literal_removal,[],[f1210]) ).
fof(f1210,plain,
( x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(x,unordered_pair(x,y))
| member(x,unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f1194,f1189]) ).
fof(f1189,plain,
( ~ member(y,unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(x,unordered_pair(x,y)) ),
inference(superposition,[],[f1040,f1185]) ).
fof(f1185,plain,
( y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f1068,f1063]) ).
fof(f1063,plain,
! [X1] :
( member(x,unordered_pair(x,X1))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(backward_demodulation,[],[f276,f1038]) ).
fof(f1038,plain,
x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),
inference(subsumption_resolution,[],[f1035,f1026]) ).
fof(f1026,plain,
! [X1] :
( member(y,unordered_pair(y,X1))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f1003,f9]) ).
fof(f1003,plain,
( member(y,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f999,f157]) ).
fof(f999,plain,
( member(y,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f907,f965]) ).
fof(f965,plain,
! [X1] :
( member(x,unordered_pair(x,X1))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f963,f9]) ).
fof(f963,plain,
( member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f960,f745]) ).
fof(f745,plain,
! [X1] :
( member(y,unordered_pair(y,X1))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(x,universal_class) ),
inference(resolution,[],[f742,f9]) ).
fof(f742,plain,
( member(y,universal_class)
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f739,f157]) ).
fof(f739,plain,
( member(y,unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(x,universal_class) ),
inference(subsumption_resolution,[],[f735,f545]) ).
fof(f545,plain,
x != y,
inference(subsumption_resolution,[],[f543,f508]) ).
fof(f508,plain,
! [X1] :
( member(x,unordered_pair(x,X1))
| x != y ),
inference(resolution,[],[f506,f9]) ).
fof(f506,plain,
( member(x,universal_class)
| x != y ),
inference(subsumption_resolution,[],[f505,f157]) ).
fof(f505,plain,
( member(x,unordered_pair(x,y))
| member(x,universal_class)
| x != y ),
inference(duplicate_literal_removal,[],[f502]) ).
fof(f502,plain,
( x != y
| x != y
| member(x,unordered_pair(x,y))
| member(x,universal_class) ),
inference(superposition,[],[f482,f375]) ).
fof(f375,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f374,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y
| x != y ),
inference(equality_factoring,[],[f365]) ).
fof(f365,plain,
( y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f345,f342]) ).
fof(f342,plain,
! [X1] :
( member(x,unordered_pair(x,X1))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y ),
inference(subsumption_resolution,[],[f324,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X1 = X2
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f324,plain,
! [X1] :
( member(x,unordered_pair(x,X1))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f198,f303]) ).
fof(f303,plain,
( x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(equality_factoring,[],[f268]) ).
fof(f268,plain,
( y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f267,f8]) ).
fof(f267,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(duplicate_literal_removal,[],[f265]) ).
fof(f265,plain,
( x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(resolution,[],[f264,f8]) ).
fof(f264,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,x))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f263,f196]) ).
fof(f196,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),universal_class)
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(resolution,[],[f194,f157]) ).
fof(f194,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(resolution,[],[f190,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(f190,plain,
( ~ subclass(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f177,f2]) ).
fof(f177,plain,
( ~ subclass(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ subclass(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(extensionality_resolution,[],[f7,f124]) ).
fof(f124,plain,
unordered_pair(x,y) != complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),
inference(definition_unfolding,[],[f92,f26,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f92,axiom,
unordered_pair(x,y) != union(singleton(x),singleton(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pairs_and_singletons_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f263,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,x))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),universal_class)
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f259,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(f259,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x)))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f257,plain,
( y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x))) ),
inference(resolution,[],[f254,f8]) ).
fof(f254,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(y,y))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x))) ),
inference(subsumption_resolution,[],[f253,f196]) ).
fof(f253,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x)))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(y,y))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),universal_class) ),
inference(resolution,[],[f249,f25]) ).
fof(f249,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(y,y)))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x))) ),
inference(resolution,[],[f23,f195]) ).
fof(f195,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(resolution,[],[f194,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f198,plain,
! [X1] :
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),X1))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(resolution,[],[f196,f9]) ).
fof(f345,plain,
( y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y
| ~ member(x,unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f318,f8]) ).
fof(f318,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y))
| x != y
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(superposition,[],[f192,f303]) ).
fof(f192,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(resolution,[],[f189,f2]) ).
fof(f189,plain,
( ~ subclass(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,y)) ),
inference(resolution,[],[f177,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(f482,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| member(x,universal_class)
| x != y ),
inference(superposition,[],[f196,f474]) ).
fof(f474,plain,
( x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x != y ),
inference(duplicate_literal_removal,[],[f472]) ).
fof(f472,plain,
( x != y
| x != y
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(equality_factoring,[],[f444]) ).
fof(f444,plain,
( y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x != y
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f442,f387]) ).
fof(f387,plain,
! [X0] :
( member(x,unordered_pair(X0,x))
| x != y
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(superposition,[],[f275,f375]) ).
fof(f275,plain,
! [X0] :
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(X0,not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f269,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f269,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),universal_class)
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f267,f157]) ).
fof(f442,plain,
( y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x != y
| ~ member(x,unordered_pair(x,x)) ),
inference(superposition,[],[f314,f375]) ).
fof(f314,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,x))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f281,f24]) ).
fof(f281,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(unordered_pair(x,x)))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f279,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f279,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f278,f269]) ).
fof(f278,plain,
( y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),universal_class)
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))) ),
inference(resolution,[],[f274,f25]) ).
fof(f274,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f272,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f271,f8]) ).
fof(f271,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,x))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f270,f201]) ).
fof(f201,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),universal_class)
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f193,f157]) ).
fof(f193,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f190,f3]) ).
fof(f270,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),universal_class)
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,x))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f262,f25]) ).
fof(f262,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x)))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(duplicate_literal_removal,[],[f260]) ).
fof(f260,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x))) ),
inference(resolution,[],[f256,f8]) ).
fof(f256,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(y,y))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x))) ),
inference(subsumption_resolution,[],[f255,f201]) ).
fof(f255,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x)))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(y,y)) ),
inference(resolution,[],[f248,f25]) ).
fof(f248,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(y,y)))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),complement(unordered_pair(x,x))) ),
inference(resolution,[],[f23,f200]) ).
fof(f200,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f193,f24]) ).
fof(f543,plain,
( ~ member(x,unordered_pair(x,x))
| x != y ),
inference(resolution,[],[f538,f24]) ).
fof(f538,plain,
( member(x,complement(unordered_pair(x,x)))
| x != y ),
inference(resolution,[],[f536,f21]) ).
fof(f536,plain,
( member(x,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| x != y ),
inference(subsumption_resolution,[],[f535,f506]) ).
fof(f535,plain,
( x != y
| member(x,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| ~ member(x,universal_class) ),
inference(resolution,[],[f532,f25]) ).
fof(f532,plain,
( ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y ),
inference(duplicate_literal_removal,[],[f530]) ).
fof(f530,plain,
( x != y
| x != y
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f528,f375]) ).
fof(f528,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y ),
inference(subsumption_resolution,[],[f477,f508]) ).
fof(f477,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x != y
| ~ member(x,unordered_pair(x,y)) ),
inference(superposition,[],[f191,f474]) ).
fof(f191,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f189,f3]) ).
fof(f735,plain,
( member(y,unordered_pair(x,y))
| x = y
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f707,f558]) ).
fof(f558,plain,
( y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f436,f433]) ).
fof(f433,plain,
! [X1] :
( member(x,unordered_pair(x,X1))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f410,f8]) ).
fof(f410,plain,
! [X1] :
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(x,unordered_pair(x,X1))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(superposition,[],[f198,f355]) ).
fof(f355,plain,
( x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(duplicate_literal_removal,[],[f352]) ).
fof(f352,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f311,f304]) ).
fof(f304,plain,
( ~ member(y,unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f284,f8]) ).
fof(f284,plain,
( ~ member(y,unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f192,f268]) ).
fof(f311,plain,
! [X0] :
( member(y,unordered_pair(X0,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f289,f8]) ).
fof(f289,plain,
! [X0] :
( member(y,unordered_pair(X0,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(superposition,[],[f197,f268]) ).
fof(f197,plain,
! [X0] :
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(X0,not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y)) ),
inference(resolution,[],[f196,f10]) ).
fof(f436,plain,
( ~ member(x,unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f404,f8]) ).
fof(f404,plain,
( y = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f192,f355]) ).
fof(f707,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f196,f698]) ).
fof(f698,plain,
( x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f695,f644]) ).
fof(f644,plain,
! [X1] :
( member(y,unordered_pair(y,X1))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f642,f9]) ).
fof(f642,plain,
( member(y,universal_class)
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f641,f157]) ).
fof(f641,plain,
( member(y,unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(y,universal_class) ),
inference(subsumption_resolution,[],[f637,f545]) ).
fof(f637,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(y,universal_class)
| x = y
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(y,unordered_pair(x,y)) ),
inference(superposition,[],[f614,f558]) ).
fof(f614,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| member(y,universal_class) ),
inference(superposition,[],[f196,f605]) ).
fof(f605,plain,
( y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f569,f565]) ).
fof(f565,plain,
! [X1] :
( member(y,unordered_pair(y,X1))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(superposition,[],[f276,f558]) ).
fof(f569,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(y,unordered_pair(y,y)) ),
inference(superposition,[],[f312,f558]) ).
fof(f312,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(y,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f280,f24]) ).
fof(f280,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(unordered_pair(y,y)))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f279,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f695,plain,
( ~ member(y,unordered_pair(y,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f690,f24]) ).
fof(f690,plain,
( member(y,complement(unordered_pair(y,y)))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f681,f22]) ).
fof(f681,plain,
( member(y,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f679,f642]) ).
fof(f679,plain,
( ~ member(y,universal_class)
| member(y,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f676,f25]) ).
fof(f676,plain,
( ~ member(y,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f673,f545]) ).
fof(f673,plain,
( ~ member(y,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = y ),
inference(superposition,[],[f671,f558]) ).
fof(f671,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f609,f643]) ).
fof(f643,plain,
! [X0] :
( member(y,unordered_pair(X0,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f642,f10]) ).
fof(f609,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(y,unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(superposition,[],[f191,f605]) ).
fof(f960,plain,
( member(x,universal_class)
| ~ member(y,unordered_pair(y,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f931,f24]) ).
fof(f931,plain,
( member(y,complement(unordered_pair(y,y)))
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f899,f22]) ).
fof(f899,plain,
( member(y,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f897,f742]) ).
fof(f897,plain,
( member(y,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| ~ member(y,universal_class)
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f834,f25]) ).
fof(f834,plain,
( ~ member(y,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f831,f545]) ).
fof(f831,plain,
( ~ member(y,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = y ),
inference(superposition,[],[f711,f558]) ).
fof(f711,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| member(x,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f201,f698]) ).
fof(f907,plain,
( member(y,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f905,f768]) ).
fof(f768,plain,
( member(y,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y)) ),
inference(resolution,[],[f765,f157]) ).
fof(f765,plain,
( member(y,unordered_pair(x,y))
| ~ member(x,unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f761,f545]) ).
fof(f761,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = y
| ~ member(x,unordered_pair(x,y))
| member(y,unordered_pair(x,y)) ),
inference(superposition,[],[f703,f558]) ).
fof(f703,plain,
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y)) ),
inference(superposition,[],[f192,f698]) ).
fof(f905,plain,
( ~ member(y,universal_class)
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y))
| member(y,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))) ),
inference(resolution,[],[f849,f25]) ).
fof(f849,plain,
( ~ member(y,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(subsumption_resolution,[],[f846,f545]) ).
fof(f846,plain,
( ~ member(x,unordered_pair(x,y))
| ~ member(y,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = y
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f702,f558]) ).
fof(f702,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y)) ),
inference(superposition,[],[f191,f698]) ).
fof(f1035,plain,
( x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(y,unordered_pair(y,y)) ),
inference(resolution,[],[f1001,f24]) ).
fof(f1001,plain,
( member(y,complement(unordered_pair(y,y)))
| x = not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f999,f22]) ).
fof(f276,plain,
! [X1] :
( member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),unordered_pair(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),X1))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f269,f9]) ).
fof(f1068,plain,
( x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| y = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(x,unordered_pair(x,x)) ),
inference(backward_demodulation,[],[f314,f1038]) ).
fof(f1040,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,y))
| member(x,unordered_pair(x,y)) ),
inference(backward_demodulation,[],[f192,f1038]) ).
fof(f1194,plain,
! [X0] :
( member(y,unordered_pair(X0,y))
| member(x,unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(superposition,[],[f1045,f1185]) ).
fof(f1045,plain,
! [X0] :
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(X0,not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))))
| member(x,unordered_pair(x,y)) ),
inference(backward_demodulation,[],[f197,f1038]) ).
fof(f1253,plain,
( ~ member(x,unordered_pair(x,x))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f1249,f24]) ).
fof(f1249,plain,
( member(x,complement(unordered_pair(x,x)))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(resolution,[],[f1247,f21]) ).
fof(f1247,plain,
( member(x,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(subsumption_resolution,[],[f1246,f1215]) ).
fof(f1246,plain,
( member(x,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(x,universal_class) ),
inference(resolution,[],[f1245,f25]) ).
fof(f1245,plain,
( ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)) ),
inference(duplicate_literal_removal,[],[f1240]) ).
fof(f1240,plain,
( ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f1198,f1188]) ).
fof(f1188,plain,
( ~ member(y,unordered_pair(x,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f1039,f1185]) ).
fof(f1039,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(x,y))
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(backward_demodulation,[],[f191,f1038]) ).
fof(f1198,plain,
! [X2] :
( member(y,unordered_pair(X2,y))
| x = not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(superposition,[],[f1049,f1185]) ).
fof(f1049,plain,
! [X0] :
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(X0,not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))))
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(backward_demodulation,[],[f202,f1038]) ).
fof(f202,plain,
! [X0] :
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),unordered_pair(X0,not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y))))
| ~ member(not_subclass_element(unordered_pair(x,y),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))),complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y))))) ),
inference(resolution,[],[f201,f10]) ).
fof(f1044,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),unordered_pair(x,y)),universal_class)
| member(x,unordered_pair(x,y)) ),
inference(backward_demodulation,[],[f196,f1038]) ).
fof(f1316,plain,
~ member(x,unordered_pair(x,x)),
inference(resolution,[],[f1312,f24]) ).
fof(f1312,plain,
member(x,complement(unordered_pair(x,x))),
inference(resolution,[],[f1310,f21]) ).
fof(f1310,plain,
member(x,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),
inference(subsumption_resolution,[],[f1307,f1298]) ).
fof(f1307,plain,
( ~ member(x,unordered_pair(x,y))
| member(x,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))) ),
inference(subsumption_resolution,[],[f1306,f1288]) ).
fof(f1306,plain,
( ~ member(x,unordered_pair(x,y))
| ~ member(x,universal_class)
| member(x,intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))) ),
inference(resolution,[],[f1258,f25]) ).
fof(f1258,plain,
( ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))))
| ~ member(x,unordered_pair(x,y)) ),
inference(backward_demodulation,[],[f1039,f1255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET100-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 13:36:20 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.45 % (10521)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)
% 0.15/0.45 % (10513)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)
% 0.15/0.45 % (10522)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)
% 0.15/0.45 % (10529)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)
% 0.15/0.46 % (10510)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)
% 0.15/0.46 % (10518)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)
% 0.15/0.46 % (10532)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.47 % (10530)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)
% 0.15/0.47 % (10514)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (10514)Instruction limit reached!
% 0.15/0.47 % (10514)------------------------------
% 0.15/0.47 % (10514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (10523)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)
% 0.15/0.47 % (10514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (10514)Termination reason: Unknown
% 0.15/0.47 % (10514)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (10514)Memory used [KB]: 5628
% 0.15/0.47 % (10514)Time elapsed: 0.113 s
% 0.15/0.47 % (10514)Instructions burned: 7 (million)
% 0.15/0.47 % (10514)------------------------------
% 0.15/0.47 % (10514)------------------------------
% 0.15/0.47 % (10524)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.48 % (10526)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)
% 0.15/0.48 % (10516)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)
% 0.15/0.48 % (10525)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.49 % (10517)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49 % (10527)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)
% 0.15/0.49 % (10535)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.49 % (10515)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.49 % (10515)Instruction limit reached!
% 0.15/0.49 % (10515)------------------------------
% 0.15/0.49 % (10515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (10515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (10515)Termination reason: Unknown
% 0.15/0.49 % (10515)Termination phase: Function definition elimination
% 0.15/0.49
% 0.15/0.49 % (10515)Memory used [KB]: 1023
% 0.15/0.49 % (10515)Time elapsed: 0.002 s
% 0.15/0.49 % (10515)Instructions burned: 2 (million)
% 0.15/0.49 % (10515)------------------------------
% 0.15/0.49 % (10515)------------------------------
% 0.15/0.49 % (10508)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)
% 0.15/0.49 % (10536)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)
% 0.15/0.49 % (10509)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)
% 0.15/0.49 % (10519)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.49 % (10512)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)
% 0.15/0.50 % (10534)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)
% 0.15/0.50 % (10511)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.50 % (10520)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.50 % (10533)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)
% 0.15/0.50 % (10507)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)
% 0.15/0.50 % (10531)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.51 % (10528)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.51 % (10513)Instruction limit reached!
% 0.15/0.51 % (10513)------------------------------
% 0.15/0.51 % (10513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (10513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (10513)Termination reason: Unknown
% 0.15/0.53 % (10513)Termination phase: Finite model building preprocessing
% 0.15/0.53
% 0.15/0.53 % (10513)Memory used [KB]: 1663
% 0.15/0.53 % (10513)Time elapsed: 0.023 s
% 0.15/0.53 % (10513)Instructions burned: 53 (million)
% 0.15/0.53 % (10513)------------------------------
% 0.15/0.53 % (10513)------------------------------
% 0.15/0.54 % (10521)Instruction limit reached!
% 0.15/0.54 % (10521)------------------------------
% 0.15/0.54 % (10521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (10521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (10521)Termination reason: Unknown
% 0.15/0.54 % (10521)Termination phase: Saturation
% 0.15/0.54
% 0.15/0.54 % (10521)Memory used [KB]: 6908
% 0.15/0.54 % (10521)Time elapsed: 0.038 s
% 0.15/0.54 % (10521)Instructions burned: 68 (million)
% 0.15/0.54 % (10521)------------------------------
% 0.15/0.54 % (10521)------------------------------
% 0.15/0.55 % (10508)Refutation not found, incomplete strategy% (10508)------------------------------
% 0.15/0.55 % (10508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (10508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (10508)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.55
% 0.15/0.55 % (10508)Memory used [KB]: 6268
% 0.15/0.55 % (10508)Time elapsed: 0.145 s
% 0.15/0.55 % (10508)Instructions burned: 42 (million)
% 0.15/0.55 % (10508)------------------------------
% 0.15/0.55 % (10508)------------------------------
% 0.15/0.55 % (10516)Instruction limit reached!
% 0.15/0.55 % (10516)------------------------------
% 0.15/0.55 % (10516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (10509)Instruction limit reached!
% 0.15/0.55 % (10509)------------------------------
% 0.15/0.55 % (10509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (10516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (10516)Termination reason: Unknown
% 0.15/0.56 % (10516)Termination phase: Saturation
% 0.15/0.56
% 0.15/0.56 % (10516)Memory used [KB]: 1918
% 0.15/0.56 % (10516)Time elapsed: 0.152 s
% 0.15/0.56 % (10516)Instructions burned: 51 (million)
% 0.15/0.56 % (10516)------------------------------
% 0.15/0.56 % (10516)------------------------------
% 0.15/0.56 % (10517)Instruction limit reached!
% 0.15/0.56 % (10517)------------------------------
% 0.15/0.56 % (10517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (10517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (10517)Termination reason: Unknown
% 0.15/0.56 % (10517)Termination phase: Saturation
% 0.15/0.56
% 0.15/0.56 % (10517)Memory used [KB]: 6652
% 0.15/0.56 % (10517)Time elapsed: 0.164 s
% 0.15/0.56 % (10517)Instructions burned: 50 (million)
% 0.15/0.56 % (10517)------------------------------
% 0.15/0.56 % (10517)------------------------------
% 0.15/0.56 % (10509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (10509)Termination reason: Unknown
% 0.15/0.56 % (10509)Termination phase: Saturation
% 0.15/0.56
% 0.15/0.56 % (10509)Memory used [KB]: 1791
% 0.15/0.56 % (10509)Time elapsed: 0.176 s
% 0.15/0.56 % (10509)Instructions burned: 37 (million)
% 0.15/0.56 % (10509)------------------------------
% 0.15/0.56 % (10509)------------------------------
% 2.01/0.57 % (10510)Instruction limit reached!
% 2.01/0.57 % (10510)------------------------------
% 2.01/0.57 % (10510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.57 % (10510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.57 % (10510)Termination reason: Unknown
% 2.01/0.57 % (10510)Termination phase: Saturation
% 2.01/0.57
% 2.01/0.57 % (10510)Memory used [KB]: 6652
% 2.01/0.57 % (10510)Time elapsed: 0.201 s
% 2.01/0.57 % (10510)Instructions burned: 52 (million)
% 2.01/0.57 % (10510)------------------------------
% 2.01/0.57 % (10510)------------------------------
% 2.01/0.57 % (10524)Instruction limit reached!
% 2.01/0.57 % (10524)------------------------------
% 2.01/0.57 % (10524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.57 % (10524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.57 % (10524)Termination reason: Unknown
% 2.01/0.57 % (10524)Termination phase: Finite model building preprocessing
% 2.01/0.57
% 2.01/0.57 % (10524)Memory used [KB]: 1663
% 2.01/0.57 % (10524)Time elapsed: 0.028 s
% 2.01/0.57 % (10524)Instructions burned: 59 (million)
% 2.01/0.57 % (10524)------------------------------
% 2.01/0.57 % (10524)------------------------------
% 2.01/0.58 % (10511)Instruction limit reached!
% 2.01/0.58 % (10511)------------------------------
% 2.01/0.58 % (10511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.58 % (10511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.58 % (10511)Termination reason: Unknown
% 2.01/0.58 % (10511)Termination phase: Saturation
% 2.01/0.58
% 2.01/0.58 % (10511)Memory used [KB]: 6396
% 2.01/0.58 % (10511)Time elapsed: 0.211 s
% 2.01/0.58 % (10511)Instructions burned: 52 (million)
% 2.01/0.58 % (10511)------------------------------
% 2.01/0.58 % (10511)------------------------------
% 2.19/0.59 % (10577)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)
% 2.19/0.59 % (10522)Instruction limit reached!
% 2.19/0.59 % (10522)------------------------------
% 2.19/0.59 % (10522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.59 % (10522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.59 % (10522)Termination reason: Unknown
% 2.19/0.59 % (10522)Termination phase: Saturation
% 2.19/0.59
% 2.19/0.59 % (10522)Memory used [KB]: 2302
% 2.19/0.59 % (10522)Time elapsed: 0.208 s
% 2.19/0.59 % (10522)Instructions burned: 75 (million)
% 2.19/0.59 % (10522)------------------------------
% 2.19/0.59 % (10522)------------------------------
% 2.19/0.59 % (10512)Instruction limit reached!
% 2.19/0.59 % (10512)------------------------------
% 2.19/0.59 % (10512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.59 % (10512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.59 % (10512)Termination reason: Unknown
% 2.19/0.59 % (10512)Termination phase: Saturation
% 2.19/0.59
% 2.19/0.59 % (10512)Memory used [KB]: 6268
% 2.19/0.59 % (10512)Time elapsed: 0.235 s
% 2.19/0.59 % (10512)Instructions burned: 49 (million)
% 2.19/0.59 % (10512)------------------------------
% 2.19/0.59 % (10512)------------------------------
% 2.19/0.61 % (10533)Instruction limit reached!
% 2.19/0.61 % (10533)------------------------------
% 2.19/0.61 % (10533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.61 % (10533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.61 % (10533)Termination reason: Unknown
% 2.19/0.61 % (10533)Termination phase: Saturation
% 2.19/0.61
% 2.19/0.61 % (10533)Memory used [KB]: 7036
% 2.19/0.61 % (10533)Time elapsed: 0.048 s
% 2.19/0.61 % (10533)Instructions burned: 68 (million)
% 2.19/0.61 % (10533)------------------------------
% 2.19/0.61 % (10533)------------------------------
% 2.19/0.62 % (10529)First to succeed.
% 2.19/0.62 % (10529)Refutation found. Thanks to Tanya!
% 2.19/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.19/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.62 % (10529)------------------------------
% 2.19/0.62 % (10529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.62 % (10529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.62 % (10529)Termination reason: Refutation
% 2.19/0.62
% 2.19/0.62 % (10529)Memory used [KB]: 1663
% 2.19/0.62 % (10529)Time elapsed: 0.249 s
% 2.19/0.62 % (10529)Instructions burned: 122 (million)
% 2.19/0.62 % (10529)------------------------------
% 2.19/0.62 % (10529)------------------------------
% 2.19/0.62 % (10506)Success in time 0.306 s
%------------------------------------------------------------------------------