TSTP Solution File: SET179-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET179-6 : 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 : n006.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 18:24:05 EDT 2022
% Result : Unsatisfiable 1.47s 0.54s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 20 unt; 0 def)
% Number of atoms : 124 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 123 ( 66 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 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(f357,plain,
$false,
inference(subsumption_resolution,[],[f355,f347]) ).
fof(f347,plain,
member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),z),
inference(resolution,[],[f346,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f346,plain,
member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),intersection(y,z)),
inference(subsumption_resolution,[],[f345,f324]) ).
fof(f324,plain,
member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),universal_class),
inference(resolution,[],[f316,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,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f316,plain,
member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),
inference(subsumption_resolution,[],[f313,f272]) ).
fof(f272,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(y,z))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f269,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f269,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(y,z)))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f267,f22]) ).
fof(f267,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(intersection(x,z)),complement(intersection(y,z))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(subsumption_resolution,[],[f266,f239]) ).
fof(f239,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f237,f193]) ).
fof(f237,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f233,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(f233,plain,
( ~ subclass(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f216,f2]) ).
fof(f216,plain,
( ~ subclass(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))))
| ~ subclass(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(extensionality_resolution,[],[f7,f159]) ).
fof(f159,plain,
complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))) != complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),
inference(definition_unfolding,[],[f113,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(intersection(x,z),intersection(complement(x),intersection(y,z))) != union(intersection(x,z),intersection(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_distribution_property1_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f266,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(intersection(x,z)),complement(intersection(y,z))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),universal_class) ),
inference(resolution,[],[f25,f235]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f232,f2]) ).
fof(f232,plain,
( ~ subclass(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f216,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(f313,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(y,z))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f312,f22]) ).
fof(f312,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(x),intersection(y,z)))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(subsumption_resolution,[],[f311,f239]) ).
fof(f311,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(x),intersection(y,z))) ),
inference(resolution,[],[f310,f25]) ).
fof(f310,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(x),intersection(y,z))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(subsumption_resolution,[],[f302,f270]) ).
fof(f270,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(x,z)))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f267,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f302,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(x,z)))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(x),intersection(y,z)))) ),
inference(resolution,[],[f23,f238]) ).
fof(f238,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))) ),
inference(resolution,[],[f237,f24]) ).
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(f345,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),intersection(y,z))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),universal_class) ),
inference(resolution,[],[f344,f25]) ).
fof(f344,plain,
~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(y,z))),
inference(subsumption_resolution,[],[f328,f332]) ).
fof(f332,plain,
member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(x,z))),
inference(resolution,[],[f330,f21]) ).
fof(f330,plain,
member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),
inference(subsumption_resolution,[],[f329,f324]) ).
fof(f329,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),universal_class) ),
inference(resolution,[],[f322,f25]) ).
fof(f322,plain,
~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),
inference(subsumption_resolution,[],[f319,f279]) ).
fof(f279,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(y,z))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f274,f24]) ).
fof(f274,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(y,z)))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f268,f22]) ).
fof(f268,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(intersection(x,z)),complement(intersection(y,z))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(subsumption_resolution,[],[f265,f241]) ).
fof(f241,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f236,f193]) ).
fof(f236,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f233,f3]) ).
fof(f265,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(intersection(x,z)),complement(intersection(y,z))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f25,f234]) ).
fof(f234,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f232,f3]) ).
fof(f319,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(y,z)) ),
inference(resolution,[],[f318,f22]) ).
fof(f318,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(x),intersection(y,z)))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(subsumption_resolution,[],[f317,f241]) ).
fof(f317,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))))
| member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(x),intersection(y,z))) ),
inference(resolution,[],[f309,f25]) ).
fof(f309,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(x),intersection(y,z))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(subsumption_resolution,[],[f301,f275]) ).
fof(f275,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f268,f21]) ).
fof(f301,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(complement(x),intersection(y,z))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f23,f240]) ).
fof(f240,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z))))),complement(intersection(complement(intersection(x,z)),complement(intersection(y,z))))),intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))) ),
inference(resolution,[],[f236,f24]) ).
fof(f328,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(y,z))) ),
inference(resolution,[],[f323,f23]) ).
fof(f323,plain,
~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),intersection(complement(intersection(x,z)),complement(intersection(y,z)))),
inference(resolution,[],[f316,f24]) ).
fof(f355,plain,
~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),z),
inference(resolution,[],[f354,f336]) ).
fof(f336,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),x)
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),z) ),
inference(resolution,[],[f334,f23]) ).
fof(f334,plain,
~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),intersection(x,z)),
inference(resolution,[],[f332,f24]) ).
fof(f354,plain,
member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),x),
inference(subsumption_resolution,[],[f353,f324]) ).
fof(f353,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),x)
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),universal_class) ),
inference(resolution,[],[f352,f25]) ).
fof(f352,plain,
~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(x)),
inference(subsumption_resolution,[],[f339,f346]) ).
fof(f339,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(x))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),intersection(y,z)) ),
inference(resolution,[],[f337,f23]) ).
fof(f337,plain,
~ member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),intersection(complement(x),intersection(y,z))),
inference(resolution,[],[f331,f24]) ).
fof(f331,plain,
member(not_subclass_element(complement(intersection(complement(intersection(x,z)),complement(intersection(y,z)))),complement(intersection(complement(intersection(x,z)),complement(intersection(complement(x),intersection(y,z)))))),complement(intersection(complement(x),intersection(y,z)))),
inference(resolution,[],[f330,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET179-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:23:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (25112)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)
% 0.18/0.50 % (25125)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)
% 0.18/0.50 % (25117)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)
% 0.18/0.50 % (25118)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)
% 0.18/0.51 % (25109)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)
% 0.18/0.51 % (25126)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)
% 0.18/0.52 % (25107)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (25114)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)
% 0.18/0.53 % (25111)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (25115)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (25113)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (25111)Instruction limit reached!
% 0.18/0.53 % (25111)------------------------------
% 0.18/0.53 % (25111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (25111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (25111)Termination reason: Unknown
% 0.18/0.53 % (25111)Termination phase: Property scanning
% 0.18/0.53
% 0.18/0.53 % (25111)Memory used [KB]: 1023
% 0.18/0.53 % (25111)Time elapsed: 0.003 s
% 0.18/0.53 % (25111)Instructions burned: 3 (million)
% 0.18/0.53 % (25111)------------------------------
% 0.18/0.53 % (25111)------------------------------
% 1.47/0.53 % (25125)First to succeed.
% 1.47/0.53 % (25128)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.53 % (25124)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.54 % (25130)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.47/0.54 % (25110)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.54 % (25129)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.47/0.54 % (25131)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.54 % (25125)Refutation found. Thanks to Tanya!
% 1.47/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.47/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.54 % (25125)------------------------------
% 1.47/0.54 % (25125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (25125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (25125)Termination reason: Refutation
% 1.47/0.54
% 1.47/0.54 % (25125)Memory used [KB]: 1407
% 1.47/0.54 % (25125)Time elapsed: 0.082 s
% 1.47/0.54 % (25125)Instructions burned: 23 (million)
% 1.47/0.54 % (25125)------------------------------
% 1.47/0.54 % (25125)------------------------------
% 1.47/0.54 % (25102)Success in time 0.2 s
%------------------------------------------------------------------------------