TSTP Solution File: SET454-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET454-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:34:33 EDT 2023
% Result : Unsatisfiable 15.37s 2.37s
% Output : CNFRefutation 15.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 64 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 25 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 70 (; 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
~ subclass(identity_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f117,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
! [Z,X] :
( ! [Y] : ~ member(Z,intersection(X,Y))
| member(Z,X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f143,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f196,plain,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f197,plain,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f245,plain,
~ subclass(identity_relation,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f246,plain,
! [X0] : subclass(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f119]) ).
fof(f278,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f117,f115]) ).
fof(f279,plain,
! [X0,X1,X2] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[status(thm)],[f142,f116]) ).
fof(f284,plain,
! [X0,X1,X2,X3] :
( member(X0,X1)
| ~ subclass(X2,intersection(X3,X1))
| ~ member(X0,X2) ),
inference(resolution,[status(thm)],[f144,f115]) ).
fof(f564,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X2,X1)) ),
inference(resolution,[status(thm)],[f284,f246]) ).
fof(f605,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X1) ),
inference(resolution,[status(thm)],[f116,f564]) ).
fof(f996,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| subclass(intersection(X0,X1),X2)
| ~ subclass(X1,X2) ),
inference(resolution,[status(thm)],[f605,f278]) ).
fof(f997,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| ~ subclass(X1,X2) ),
inference(duplicate_literals_removal,[status(esa)],[f996]) ).
fof(f1342,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[status(thm)],[f279,f117]) ).
fof(f1343,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literals_removal,[status(esa)],[f1342]) ).
fof(f1368,plain,
! [X0,X1,X2] : subclass(intersection(X0,intersection(X1,X2)),X1),
inference(resolution,[status(thm)],[f1343,f997]) ).
fof(f6156,plain,
! [X0] : subclass(intersection(X0,subset_relation),cross_product(universal_class,universal_class)),
inference(paramodulation,[status(thm)],[f196,f1368]) ).
fof(f6881,plain,
subclass(identity_relation,cross_product(universal_class,universal_class)),
inference(paramodulation,[status(thm)],[f197,f6156]) ).
fof(f6882,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6881,f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET454-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.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 May 30 10:12:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 15.37/2.37 % Refutation found
% 15.37/2.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.37/2.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.18/2.42 % Elapsed time: 2.054498 seconds
% 16.18/2.42 % CPU time: 16.085643 seconds
% 16.18/2.42 % Memory used: 144.070 MB
%------------------------------------------------------------------------------