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ex20181030_most_group2cycle_path_subgraph_nonisolated.clif
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ex20181030_most_group2cycle_path_subgraph_nonisolated.clif
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(cl-text most_group_verification
(cl-imports test/most_group_verification_with_def.clif)
(cl-imports test/most_group2cycle_path_subgraph_nonisolated.clif)
(cl-comment 'axioms to prove')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/cycle_path_subgraph_nonisolated.p9')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/cycle_path_subgraph.p9')
(cl-comment 'removed star def')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/nonisolated_loopless.p9')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/induced_subgraph.p9')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/weak_loopless.p9')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/coplanar_double_collinear.p9')
(forall (x y z w q l1 l2 l3)
(if (and (plane q)
(point x)
(point y)
(point z)
(point w)
(in x q)
(in y q)
(in z q)
(in w q)
(line l1)
(in l1 q)
(in x l1)
(in y l1)
(line l2)
(in l2 q)
(in x l2)
(in z l2)
(line l3)
(in l3 q)
(in x l3)
(in w l3))
(or (= w z)
(= y z)
(= w y))))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/double_pendant.p9')
(forall (q x y z)
(if (and (planar_pendant x q)
(planar_pendant y q)
(planar_pendant z q))
(or (= x y)
(= y z)
(= z x))))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/point_bipartite.p9')
(forall (p)
(if (point p)
(exists (l)
(and (line l)
(in p l)))))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/subgraph_incidence.p9')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/planar_shadow.p9')
(forall (l q)
(if (and (line l)
(plane q)
(not (in l q)))
(exists (p)
(and (point p)
(in p l)
(not (in p q))))))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/graphical_incidence.p9')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/nontrivial_lines.p9')
(forall (l)
(if (line l)
(exists (x y)
(and (point x)
(point y)
(not (= x y))
(in x l)
(in y l)))))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/weak_tripartite.p9')
(forall (x y)
(if (in x y)
(in y x)))
(forall (x)
(if (or (point x)
(line x)
(plane x))
(in x x)))
(forall (p)
(if (point p)
(not (line p))))
(forall (p)
(if (point p)
(not (plane p))))
(forall (p)
(if (plane p)
(not (line p))))
(forall (x y)
(if (and (in x y)
(point x)
(point y))
(= x y)))
(forall (x y)
(if (and (in x y)
(line x)
(line y))
(= x y)))
(forall (x y)
(if (and (in x y)
(plane x)
(plane y))
(= x y)))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/definitions/p9/20181030/tripartite_def.p9')
(cl-comment 'removed hanging def')
(cl-comment 'removed planar_pendant def')
(cl-comment 'removed border_line def')
(cl-comment 'removed plane_collinear def')
(cl-comment 'removed matching def')
(cl-comment 'removed junction def')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/weak_bipartite.p9')
(forall (x y)
(if (in x y)
(in y x)))
(forall (x)
(if (or (point x)
(line x))
(in x x)))
(forall (p)
(if (point p)
(not (line p))))
(forall (x y)
(if (and (in x y)
(point x)
(point y))
(= x y)))
(forall (x y)
(if (and (in x y)
(line x)
(line y))
(= x y)))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/weak_plane_subgraph.p9')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/partial_point.p9')
(forall (p)
(if (point p)
(exists (q)
(and (plane q)
(in p q)))))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/partial_bipartite.p9')
(forall (l)
(if (line l)
(exists (x)
(and (point x)
(in x l)))))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/double_points.p9')
(forall (x y z l)
(if (and (point x)
(point y)
(point z)
(line l)
(in x l)
(in y l)
(in z l))
(or (= z x)
(= z y)
(= x y))))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/definitions/p9/20181030/bipartite_def.p9')
(cl-comment 'removed collinear def')
(cl-comment 'removed intersect def')
(cl-comment 'removed parallel def')
(cl-comment 'removed nontrivial_segment def')
(cl-comment 'removed adj def')
(cl-comment 'removed interior_point def')
(cl-comment 'removed intersecting_point def')
(cl-comment 'removed overlap def')
(cl-comment 'removed pendant_point def')
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/transitive_tripartite.p9')
(forall (x y z)
(if (and (plane x)
(line y)
(point z)
(in z y)
(in y x))
(in z x)))
(cl-comment 'Reading from file /stl/cchui/colore/ontologies/tripartite_incidence/p9/20181030/point_plane_existence.p9')
(forall (q)
(if (plane q)
(exists (p)
(and (point p)
(in p q)))))
)