/
cycle_path_subgraph_nonisolated_expanded_with_def.clif
366 lines (306 loc) · 7.63 KB
/
cycle_path_subgraph_nonisolated_expanded_with_def.clif
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(cl-text /stl/cchui/colore/ontologies/tripartite_incidence/cycle_path_subgraph_nonisolated_expanded_with_def
(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 '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 'Reading from file /stl/cchui/colore/ontologies/bipartite_incidence/p9/20181030/weak_bipartite.p9')
(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 '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)))))
(cl-comment 'Definitions have been moved to the bottom of the theory for organizational purposes.')
(forall (p q)
(iff (star p q)
(exists (l1 l2 l3)
(and (line l1)(line l2)(line l3)
(not (= l1 l2))
(not (= l1 l3))
(not (= l2 l3))
(in p l1)
(in p l2)
(in p l3)
(in l1 q)
(in l2 q)
(in l3 q)))))
(forall (l q)
(iff (hanging l q)
(and (line l)
(plane q)
(exists (p1)
(and (point p1)
(in p1 q)
(in p1 l)
(forall (p2)
(if (and (point p2)
(in p2 l)
(in p2 q))
(= p1 p2))))))))
(forall (x q)
(iff (planar_pendant x q)
(and (point x)
(plane q)
(in x q)
(forall (y z)
(if (and (plane_collinear x y q)
(plane_collinear x z q))
(= y z))))))
(forall (l)
(iff (border_line l)
(exists (q)
(and (line l)
(plane q)
(in l q)
(forall (q2)
(if (and (plane q2)
(in l q2))
(= q2 q)))))))
(forall (p1 p2 q)
(iff (plane_collinear p1 p2 q)
(and (point p1)
(point p2)
(not (= p1 p2))
(plane q)
(in p1 q)
(in p2 q)
(exists (l)
(and (line l)
(in l q)
(in p1 l)
(in p2 l))))))
(forall (q)
(iff (matching q)
(and (plane q)
(forall (l1 l2)
(if (and (line l1)
(line l2)
(not (= l1 l2))
(in l1 q)
(in l2 q))
(parallel l1 l2))))))
(forall (p q1 q2)
(iff (junction p q1 q2)
(and (point p)
(plane q1)
(plane q2)
(not (= q1 q2))
(exists (l l1 l2)
(and (line l)
(line l1)
(line l2)
(in p l)
(in p l1)
(in p l2)
(in l q1)
(in l q2)
(in l1 q1)
(not (in l1 q2))
(not (in l2 q1))
(in l2 q2))))))
(forall (p1 p2)
(iff (collinear p1 p2)
(and (point p1)
(point p2)
(not (= p1 p2))
(exists (l)
(and (line l)
(in p1 l)
(in p2 l))))))
(forall (l1 l2)
(iff (intersect l1 l2)
(and (line l1)
(line l2)
(not (= l1 l2))
(exists (p)
(and (point p)
(in p l1)
(in p l2))))))
(forall (l1 l2)
(iff (parallel l1 l2)
(and (line l1)
(line l2)
(not (exists (p)
(and (point p)
(in p l1)
(in p l2)))))))
(forall (l1 l2)
(iff (nontrivial_segment l1 l2)
(and (exists (p1)
(and (point p1)
(in p1 l1)))
(forall (p2)
(if (and (point p2)
(in p2 l1))
(in p2 l2))))))
(forall (l1 l2)
(iff (adj l1 l2)
(and (line l1)
(line l2)
(exists (p)
(and (point p)
(in p l1)
(in p l2))))))
(forall (y)
(iff (interior_point y)
(exists (l)
(and (point y)
(line l)
(in y l)
(forall (z)
(if (and (line z)
(in y z))
(= z l)))))))
(forall (p)
(iff (intersecting_point p)
(and (point p)
(exists (l1 l2)
(and (line l1)
(line l2)
(not (= l1 l2))
(in p l1)
(in p l2))))))
(forall (l1 l2)
(iff (overlap l1 l2)
(and (intersect l1 l2)
(exists (p)
(and (point p)
(in p l1)
(not (in p l2)))))))
(forall (x)
(iff (pendant_point x)
(and (point x)
(forall (y z)
(if (and (collinear x y)
(collinear x z))
(= y z))))))
)