TSTP Solution File: SET176-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET176-6 : 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 : n028.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 18:24:04 EDT 2022
% Result : Unsatisfiable 0.20s 0.58s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 70 ( 16 unt; 0 def)
% Number of atoms : 138 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 141 ( 73 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f358,plain,
$false,
inference(subsumption_resolution,[],[f357,f340]) ).
fof(f340,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(x)),
inference(resolution,[],[f338,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f338,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),
inference(subsumption_resolution,[],[f337,f328]) ).
fof(f328,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class),
inference(resolution,[],[f320,f193]) ).
fof(f193,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/sandbox/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/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f320,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))),
inference(subsumption_resolution,[],[f318,f272]) ).
fof(f272,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),x)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f265,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f265,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(x))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f263,f21]) ).
fof(f263,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(subsumption_resolution,[],[f261,f236]) ).
fof(f236,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f234,f193]) ).
fof(f234,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f230,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f230,plain,
( ~ subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f213,f2]) ).
fof(f213,plain,
( ~ subclass(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y))))
| ~ subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(extensionality_resolution,[],[f7,f176]) ).
fof(f176,plain,
complement(intersection(complement(x),complement(y))) != complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),
inference(definition_unfolding,[],[f113,f26,f26,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f113,axiom,
union(x,union(y,intersection(x,z))) != union(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_absorbtion_for_union_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f261,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f25,f232]) ).
fof(f232,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f229,f2]) ).
fof(f229,plain,
( ~ subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f213,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f318,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),x) ),
inference(resolution,[],[f316,f21]) ).
fof(f316,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(x,z))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(subsumption_resolution,[],[f315,f236]) ).
fof(f315,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(x,z))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class) ),
inference(resolution,[],[f314,f25]) ).
fof(f314,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(x,z)))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(subsumption_resolution,[],[f313,f264]) ).
fof(f264,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(y))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f263,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f313,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(x,z)))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(y)) ),
inference(resolution,[],[f309,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f309,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(y),complement(intersection(x,z))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f308,f24]) ).
fof(f308,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(y),complement(intersection(x,z)))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(subsumption_resolution,[],[f307,f236]) ).
fof(f307,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(y),complement(intersection(x,z)))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class) ),
inference(resolution,[],[f305,f25]) ).
fof(f305,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(subsumption_resolution,[],[f302,f265]) ).
fof(f302,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(x))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f23,f235]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f234,f24]) ).
fof(f337,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class) ),
inference(resolution,[],[f335,f25]) ).
fof(f335,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),
inference(subsumption_resolution,[],[f333,f276]) ).
fof(f276,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),x)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f268,f24]) ).
fof(f268,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(x))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f262,f21]) ).
fof(f262,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(subsumption_resolution,[],[f260,f238]) ).
fof(f238,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f233,f193]) ).
fof(f233,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f230,f3]) ).
fof(f260,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class) ),
inference(resolution,[],[f25,f231]) ).
fof(f231,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f229,f3]) ).
fof(f333,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),x)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f326,f21]) ).
fof(f326,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(x,z))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(subsumption_resolution,[],[f325,f238]) ).
fof(f325,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(x,z))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f324,f25]) ).
fof(f324,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(subsumption_resolution,[],[f323,f267]) ).
fof(f267,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f262,f22]) ).
fof(f323,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f321,f23]) ).
fof(f321,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(y),complement(intersection(x,z))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f312,f24]) ).
fof(f312,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(y),complement(intersection(x,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(subsumption_resolution,[],[f311,f238]) ).
fof(f311,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(y),complement(intersection(x,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f306,f25]) ).
fof(f306,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(subsumption_resolution,[],[f301,f268]) ).
fof(f301,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(x)) ),
inference(resolution,[],[f23,f237]) ).
fof(f237,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
inference(resolution,[],[f233,f24]) ).
fof(f357,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(x)),
inference(subsumption_resolution,[],[f336,f351]) ).
fof(f351,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y)),
inference(resolution,[],[f349,f21]) ).
fof(f349,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(intersection(x,z)))),
inference(subsumption_resolution,[],[f348,f328]) ).
fof(f348,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(intersection(x,z))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class) ),
inference(resolution,[],[f344,f25]) ).
fof(f344,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(y),complement(intersection(x,z))))),
inference(resolution,[],[f339,f24]) ).
fof(f339,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(intersection(complement(y),complement(intersection(x,z)))))),
inference(resolution,[],[f338,f22]) ).
fof(f336,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(x)) ),
inference(resolution,[],[f327,f23]) ).
fof(f327,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(x),complement(y))),
inference(resolution,[],[f320,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET176-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:46:48 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.48 % (4585)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (4593)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (4582)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (4572)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)
% 0.20/0.53 % (4594)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)
% 0.20/0.53 % (4583)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)
% 0.20/0.53 % (4586)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)
% 0.20/0.53 % (4575)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)
% 0.20/0.53 % (4574)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)
% 0.20/0.53 % (4590)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (4576)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (4573)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)
% 0.20/0.54 % (4581)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)
% 0.20/0.54 % (4577)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)
% 0.20/0.54 % (4584)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (4578)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)
% 0.20/0.54 % (4595)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)
% 0.20/0.54 % (4601)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)
% 0.20/0.54 % (4597)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (4579)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (4599)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)
% 0.20/0.55 % (4588)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)
% 0.20/0.55 % (4580)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (4580)Instruction limit reached!
% 0.20/0.55 % (4580)------------------------------
% 0.20/0.55 % (4580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4580)Termination reason: Unknown
% 0.20/0.55 % (4580)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (4580)Memory used [KB]: 1023
% 0.20/0.55 % (4580)Time elapsed: 0.003 s
% 0.20/0.55 % (4580)Instructions burned: 3 (million)
% 0.20/0.55 % (4580)------------------------------
% 0.20/0.55 % (4580)------------------------------
% 0.20/0.55 % (4600)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (4591)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)
% 0.20/0.55 % (4596)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (4598)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)
% 0.20/0.55 % (4594)First to succeed.
% 0.20/0.55 % (4592)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)
% 0.20/0.56 % (4589)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.57 % (4587)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)
% 0.20/0.58 % (4594)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.58 % (4594)------------------------------
% 1.59/0.58 % (4594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (4594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (4594)Termination reason: Refutation
% 1.59/0.58
% 1.59/0.58 % (4594)Memory used [KB]: 1407
% 1.59/0.58 % (4594)Time elapsed: 0.106 s
% 1.59/0.58 % (4594)Instructions burned: 23 (million)
% 1.59/0.58 % (4594)------------------------------
% 1.59/0.58 % (4594)------------------------------
% 1.59/0.58 % (4571)Success in time 0.232 s
%------------------------------------------------------------------------------