TSTP Solution File: TOP002-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : TOP002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : 0s
% DateTime : Thu Jul 21 21:20:15 EDT 2022
% Result : Timeout 300.02s 300.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : TOP002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n019.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 % DateTime : Sun May 29 09:52:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.70/1.11 *** allocated 10000 integers for termspace/termends
% 0.70/1.11 *** allocated 10000 integers for clauses
% 0.70/1.11 *** allocated 10000 integers for justifications
% 0.70/1.11 Bliksem 1.12
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Automatic Strategy Selection
% 0.70/1.11
% 0.70/1.11 Clauses:
% 0.70/1.11 [
% 0.70/1.11 [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ), 'element_of_set'(
% 0.70/1.11 X, f1( Y, X ) ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.70/1.11 'element_of_collection'( f1( Y, X ), Y ) ],
% 0.70/1.11 [ 'element_of_set'( X, 'union_of_members'( Y ) ), ~( 'element_of_set'( X
% 0.70/1.11 , Z ) ), ~( 'element_of_collection'( Z, Y ) ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, 'intersection_of_members'( Y ) ) ), ~(
% 0.70/1.11 'element_of_collection'( Z, Y ) ), 'element_of_set'( X, Z ) ],
% 0.70/1.11 [ 'element_of_set'( X, 'intersection_of_members'( Y ) ),
% 0.70/1.11 'element_of_collection'( f2( Y, X ), Y ) ],
% 0.70/1.11 [ 'element_of_set'( X, 'intersection_of_members'( Y ) ), ~(
% 0.70/1.11 'element_of_set'( X, f2( Y, X ) ) ) ],
% 0.70/1.11 [ ~( 'topological_space'( X, Y ) ), 'equal_sets'( 'union_of_members'( Y
% 0.70/1.11 ), X ) ],
% 0.70/1.11 [ ~( 'topological_space'( X, Y ) ), 'element_of_collection'( 'empty_set'
% 0.70/1.11 , Y ) ],
% 0.70/1.11 [ ~( 'topological_space'( X, Y ) ), 'element_of_collection'( X, Y ) ]
% 0.70/1.11 ,
% 0.70/1.11 [ ~( 'topological_space'( X, Y ) ), ~( 'element_of_collection'( Z, Y ) )
% 0.70/1.11 , ~( 'element_of_collection'( T, Y ) ), 'element_of_collection'(
% 0.70/1.11 'intersection_of_sets'( Z, T ), Y ) ],
% 0.70/1.11 [ ~( 'topological_space'( X, Y ) ), ~( 'subset_collections'( Z, Y ) ),
% 0.70/1.11 'element_of_collection'( 'union_of_members'( Z ), Y ) ],
% 0.70/1.11 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.11 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.11 'element_of_collection'( X, Y ) ), 'element_of_collection'( f3( X, Y ), Y
% 0.70/1.11 ), 'subset_collections'( f5( X, Y ), Y ) ],
% 0.70/1.11 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.11 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.11 'element_of_collection'( X, Y ) ), 'element_of_collection'( f3( X, Y ), Y
% 0.70/1.11 ), ~( 'element_of_collection'( 'union_of_members'( f5( X, Y ) ), Y ) ) ]
% 0.70/1.11 ,
% 0.70/1.11 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.11 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.11 'element_of_collection'( X, Y ) ), 'element_of_collection'( f4( X, Y ), Y
% 0.70/1.11 ), 'subset_collections'( f5( X, Y ), Y ) ],
% 0.70/1.11 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.11 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.11 'element_of_collection'( X, Y ) ), 'element_of_collection'( f4( X, Y ), Y
% 0.70/1.11 ), ~( 'element_of_collection'( 'union_of_members'( f5( X, Y ) ), Y ) ) ]
% 0.70/1.11 ,
% 0.70/1.11 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.11 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.11 'element_of_collection'( X, Y ) ), ~( 'element_of_collection'(
% 0.70/1.11 'intersection_of_sets'( f3( X, Y ), f4( X, Y ) ), Y ) ),
% 0.70/1.11 'subset_collections'( f5( X, Y ), Y ) ],
% 0.70/1.11 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.11 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.11 'element_of_collection'( X, Y ) ), ~( 'element_of_collection'(
% 0.70/1.11 'intersection_of_sets'( f3( X, Y ), f4( X, Y ) ), Y ) ), ~(
% 0.70/1.11 'element_of_collection'( 'union_of_members'( f5( X, Y ) ), Y ) ) ],
% 0.70/1.11 [ ~( open( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 0.70/1.11 [ ~( open( X, Y, Z ) ), 'element_of_collection'( X, Z ) ],
% 0.70/1.11 [ open( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~(
% 0.70/1.11 'element_of_collection'( X, Z ) ) ],
% 0.70/1.11 [ ~( closed( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 0.70/1.11 [ ~( closed( X, Y, Z ) ), open( 'relative_complement_sets'( X, Y ), Y, Z
% 0.70/1.11 ) ],
% 0.70/1.11 [ closed( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~( open(
% 0.70/1.11 'relative_complement_sets'( X, Y ), Y, Z ) ) ],
% 0.70/1.11 [ ~( finer( X, Y, Z ) ), 'topological_space'( Z, X ) ],
% 0.70/1.11 [ ~( finer( X, Y, Z ) ), 'topological_space'( Z, Y ) ],
% 0.70/1.11 [ ~( finer( X, Y, Z ) ), 'subset_collections'( Y, X ) ],
% 0.70/1.11 [ finer( X, Y, Z ), ~( 'topological_space'( Z, X ) ), ~(
% 0.70/1.11 'topological_space'( Z, Y ) ), ~( 'subset_collections'( Y, X ) ) ],
% 0.70/1.11 [ ~( basis( X, Y ) ), 'equal_sets'( 'union_of_members'( Y ), X ) ],
% 0.70/1.11 [ ~( basis( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.11 'element_of_collection'( T, Y ) ), ~( 'element_of_collection'( U, Y ) ),
% 0.70/1.11 ~( 'element_of_set'( Z, 'intersection_of_sets'( T, U ) ) ),
% 0.70/1.11 'element_of_set'( Z, f6( X, Y, Z, T, U ) ) ],
% 0.70/1.11 [ ~( basis( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.11 'element_of_collection'( T, Y ) ), ~( 'element_of_collection'( U, Y ) ),
% 0.70/1.11 ~( 'element_of_set'( Z, 'intersection_of_sets'( T, U ) ) ),
% 0.70/1.11 'element_of_collection'( f6( X, Y, Z, T, U ), Y ) ],
% 0.70/1.11 [ ~( basis( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.11 'element_of_collection'( T, Y ) ), ~( 'element_of_collection'( U, Y ) ),
% 0.70/1.11 ~( 'element_of_set'( Z, 'intersection_of_sets'( T, U ) ) ), 'subset_sets'(
% 0.70/1.11 f6( X, Y, Z, T, U ), 'intersection_of_sets'( T, U ) ) ],
% 0.70/1.11 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ),
% 0.70/1.11 'element_of_set'( f7( X, Y ), X ) ],
% 0.70/1.11 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ),
% 0.70/1.11 'element_of_collection'( f8( X, Y ), Y ) ],
% 0.70/1.11 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ),
% 0.70/1.11 'element_of_collection'( f9( X, Y ), Y ) ],
% 0.70/1.11 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ),
% 0.70/1.11 'element_of_set'( f7( X, Y ), 'intersection_of_sets'( f8( X, Y ), f9( X,
% 0.70/1.11 Y ) ) ) ],
% 0.70/1.11 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ), ~(
% 0.70/1.11 'element_of_set'( f7( X, Y ), Z ) ), ~( 'element_of_collection'( Z, Y ) )
% 0.70/1.11 , ~( 'subset_sets'( Z, 'intersection_of_sets'( f8( X, Y ), f9( X, Y ) ) )
% 0.70/1.11 ) ],
% 0.70/1.11 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.70/1.11 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X, Z ) ) ],
% 0.70/1.11 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.70/1.11 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y, X, Z ), Y )
% 0.70/1.11 ],
% 0.70/1.11 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.70/1.11 'element_of_set'( Z, X ) ), 'subset_sets'( f10( Y, X, Z ), X ) ],
% 0.70/1.11 [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), 'element_of_set'(
% 0.70/1.11 f11( Y, X ), X ) ],
% 0.70/1.11 [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), ~( 'element_of_set'(
% 0.70/1.11 f11( Y, X ), Z ) ), ~( 'element_of_collection'( Z, Y ) ), ~(
% 0.70/1.11 'subset_sets'( Z, X ) ) ],
% 0.70/1.11 [ ~( 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ) ),
% 0.70/1.11 'topological_space'( Y, Z ) ],
% 0.70/1.11 [ ~( 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ) ),
% 0.70/1.11 'subset_sets'( T, Y ) ],
% 0.70/1.11 [ ~( 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ) ),
% 0.70/1.11 'element_of_collection'( f12( Y, Z, T, X ), Z ) ],
% 0.70/1.11 [ ~( 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ) ),
% 0.70/1.11 'equal_sets'( X, 'intersection_of_sets'( T, f12( Y, Z, T, X ) ) ) ],
% 0.70/1.11 [ 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ), ~(
% 0.70/1.11 'topological_space'( Y, Z ) ), ~( 'subset_sets'( T, Y ) ), ~(
% 0.70/1.11 'element_of_collection'( U, Z ) ), ~( 'equal_sets'( X,
% 0.70/1.11 'intersection_of_sets'( T, U ) ) ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), 'topological_space'(
% 0.70/1.11 Z, T ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), 'subset_sets'( Y, Z )
% 0.70/1.11 ],
% 0.70/1.11 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), 'element_of_set'( X,
% 0.70/1.11 f13( Y, Z, T, X ) ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), 'subset_sets'( f13( Y
% 0.70/1.11 , Z, T, X ), Y ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), open( f13( Y, Z, T, X
% 0.70/1.11 ), Z, T ) ],
% 0.70/1.11 [ 'element_of_set'( X, interior( Y, Z, T ) ), ~( 'topological_space'( Z
% 0.70/1.11 , T ) ), ~( 'subset_sets'( Y, Z ) ), ~( 'element_of_set'( X, U ) ), ~(
% 0.70/1.11 'subset_sets'( U, Y ) ), ~( open( U, Z, T ) ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, closure( Y, Z, T ) ) ), 'topological_space'( Z
% 0.70/1.11 , T ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, closure( Y, Z, T ) ) ), 'subset_sets'( Y, Z )
% 0.70/1.11 ],
% 0.70/1.11 [ ~( 'element_of_set'( X, closure( Y, Z, T ) ) ), ~( 'subset_sets'( Y, U
% 0.70/1.11 ) ), ~( closed( U, Z, T ) ), 'element_of_set'( X, U ) ],
% 0.70/1.11 [ 'element_of_set'( X, closure( Y, Z, T ) ), ~( 'topological_space'( Z,
% 0.70/1.11 T ) ), ~( 'subset_sets'( Y, Z ) ), 'subset_sets'( Y, f14( Y, Z, T, X ) )
% 0.70/1.11 ],
% 0.70/1.11 [ 'element_of_set'( X, closure( Y, Z, T ) ), ~( 'topological_space'( Z,
% 0.70/1.11 T ) ), ~( 'subset_sets'( Y, Z ) ), closed( f14( Y, Z, T, X ), Z, T ) ]
% 0.70/1.11 ,
% 0.70/1.11 [ 'element_of_set'( X, closure( Y, Z, T ) ), ~( 'topological_space'( Z,
% 0.70/1.11 T ) ), ~( 'subset_sets'( Y, Z ) ), ~( 'element_of_set'( X, f14( Y, Z, T,
% 0.70/1.11 X ) ) ) ],
% 0.70/1.11 [ ~( neighborhood( X, Y, Z, T ) ), 'topological_space'( Z, T ) ],
% 0.70/1.11 [ ~( neighborhood( X, Y, Z, T ) ), open( X, Z, T ) ],
% 0.70/1.11 [ ~( neighborhood( X, Y, Z, T ) ), 'element_of_set'( Y, X ) ],
% 0.70/1.11 [ neighborhood( X, Y, Z, T ), ~( 'topological_space'( Z, T ) ), ~( open(
% 0.70/1.11 X, Z, T ) ), ~( 'element_of_set'( Y, X ) ) ],
% 0.70/1.11 [ ~( 'limit_point'( X, Y, Z, T ) ), 'topological_space'( Z, T ) ],
% 0.70/1.11 [ ~( 'limit_point'( X, Y, Z, T ) ), 'subset_sets'( Y, Z ) ],
% 0.70/1.11 [ ~( 'limit_point'( X, Y, Z, T ) ), ~( neighborhood( U, X, Z, T ) ),
% 0.70/1.11 'element_of_set'( f15( X, Y, Z, T, U ), 'intersection_of_sets'( U, Y ) )
% 0.70/1.11 ],
% 0.70/1.11 [ ~( 'limit_point'( X, Y, Z, T ) ), ~( neighborhood( U, X, Z, T ) ), ~(
% 0.70/1.11 'eq_p'( f15( X, Y, Z, T, U ), X ) ) ],
% 0.70/1.11 [ 'limit_point'( X, Y, Z, T ), ~( 'topological_space'( Z, T ) ), ~(
% 0.70/1.11 'subset_sets'( Y, Z ) ), neighborhood( f16( X, Y, Z, T ), X, Z, T ) ]
% 0.70/1.11 ,
% 0.70/1.11 [ 'limit_point'( X, Y, Z, T ), ~( 'topological_space'( Z, T ) ), ~(
% 0.70/1.11 'subset_sets'( Y, Z ) ), ~( 'element_of_set'( U, 'intersection_of_sets'(
% 0.70/1.11 f16( X, Y, Z, T ), Y ) ) ), 'eq_p'( U, X ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, boundary( Y, Z, T ) ) ), 'topological_space'(
% 0.70/1.11 Z, T ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, boundary( Y, Z, T ) ) ), 'element_of_set'( X,
% 0.70/1.11 closure( Y, Z, T ) ) ],
% 0.70/1.11 [ ~( 'element_of_set'( X, boundary( Y, Z, T ) ) ), 'element_of_set'( X,
% 0.70/1.11 closure( 'relative_complement_sets'( Y, Z ), Z, T ) ) ],
% 0.70/1.11 [ 'element_of_set'( X, boundary( Y, Z, T ) ), ~( 'topological_space'( Z
% 0.70/1.11 , T ) ), ~( 'element_of_set'( X, closure( Y, Z, T ) ) ), ~(
% 0.70/1.11 'element_of_set'( X, closure( 'relative_complement_sets'( Y, Z ), Z, T )
% 0.70/1.11 ) ) ],
% 0.70/1.11 [ ~( hausdorff( X, Y ) ), 'topological_space'( X, Y ) ],
% 0.70/1.11 [ ~( hausdorff( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.11 'element_of_set'( T, X ) ), 'eq_p'( Z, T ), neighborhood( f17( X, Y, Z, T
% 0.70/1.11 ), Z, X, Y ) ],
% 0.70/1.11 [ ~( hausdorff( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.11 'element_of_set'( T, X ) ), 'eq_p'( Z, T ), neighborhood( f18( X, Y, Z, T
% 0.70/1.11 ), T, X, Y ) ],
% 0.70/1.11 [ ~( hausdorff( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.11 'element_of_set'( T, X ) ), 'eq_p'( Z, T ), 'disjoint_s'( f17( X, Y, Z, T
% 0.70/1.11 ), f18( X, Y, Z, T ) ) ],
% 0.70/1.11 [ hausdorff( X, Y ), ~( 'topological_space'( X, Y ) ), 'element_of_set'(
% 0.70/1.11 f19( X, Y ), X ) ],
% 0.70/1.11 [ hausdorff( X, Y ), ~( 'topological_space'( X, Y ) ), 'element_of_set'(
% 0.70/1.11 f20( X, Y ), X ) ],
% 0.70/1.11 [ hausdorff( X, Y ), ~( 'topological_space'( X, Y ) ), ~( 'eq_p'( f19( X
% 0.70/1.11 , Y ), f20( X, Y ) ) ) ],
% 0.70/1.11 [ hausdorff( X, Y ), ~( 'topological_space'( X, Y ) ), ~( neighborhood(
% 0.70/1.11 Z, f19( X, Y ), X, Y ) ), ~( neighborhood( T, f20( X, Y ), X, Y ) ), ~(
% 0.70/1.11 'disjoint_s'( Z, T ) ) ],
% 0.70/1.11 [ ~( separation( X, Y, Z, T ) ), 'topological_space'( Z, T ) ],
% 0.70/1.11 [ ~( separation( X, Y, Z, T ) ), ~( 'equal_sets'( X, 'empty_set' ) ) ]
% 0.70/1.11 ,
% 0.70/1.11 [ ~( separation( X, Y, Z, T ) ), ~( 'equal_sets'( Y, 'empty_set' ) ) ]
% 0.70/1.11 ,
% 0.70/1.11 [ ~( separation( X, Y, Z, T ) ), 'element_of_collection'( X, T ) ],
% 0.70/1.11 [ ~( separation( X, Y, Z, T ) ), 'element_of_collection'( Y, T ) ],
% 0.70/1.11 [ ~( separation( X, Y, Z, T ) ), 'equal_sets'( 'union_of_sets'( X, Y ),
% 0.70/1.11 Z ) ],
% 0.70/1.11 [ ~( separation( X, Y, Z, T ) ), 'disjoint_s'( X, Y ) ],
% 0.70/1.11 [ separation( X, Y, Z, T ), ~( 'topological_space'( Z, T ) ),
% 0.70/1.11 'equal_sets'( X, 'empty_set' ), 'equal_sets'( Y, 'empty_set' ), ~(
% 0.70/1.11 'element_of_collection'( X, T ) ), ~( 'element_of_collection'( Y, T ) ),
% 0.70/1.11 ~( 'equal_sets'( 'union_of_sets'( X, Y ), Z ) ), ~( 'disjoint_s'( X, Y )
% 0.70/1.11 ) ],
% 0.70/1.11 [ ~( 'connected_space'( X, Y ) ), 'topological_space'( X, Y ) ],
% 0.70/1.11 [ ~( 'connected_space'( X, Y ) ), ~( separation( Z, T, X, Y ) ) ],
% 0.70/1.11 [ 'connected_space'( X, Y ), ~( 'topological_space'( X, Y ) ),
% 0.70/1.11 separation( f21( X, Y ), f22( X, Y ), X, Y ) ],
% 0.70/1.11 [ ~( 'connected_set'( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 0.70/1.11 [ ~( 'connected_set'( X, Y, Z ) ), 'subset_sets'( X, Y ) ],
% 0.70/1.11 [ ~( 'connected_set'( X, Y, Z ) ), 'connected_space'( X,
% 10.72/11.15 'subspace_topology'( Y, Z, X ) ) ],
% 10.72/11.15 [ 'connected_set'( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~(
% 10.72/11.15 'subset_sets'( X, Y ) ), ~( 'connected_space'( X, 'subspace_topology'( Y
% 10.72/11.15 , Z, X ) ) ) ],
% 10.72/11.15 [ ~( 'open_covering'( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 10.72/11.15 [ ~( 'open_covering'( X, Y, Z ) ), 'subset_collections'( X, Z ) ],
% 10.72/11.15 [ ~( 'open_covering'( X, Y, Z ) ), 'equal_sets'( 'union_of_members'( X )
% 10.72/11.15 , Y ) ],
% 10.72/11.15 [ 'open_covering'( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~(
% 10.72/11.15 'subset_collections'( X, Z ) ), ~( 'equal_sets'( 'union_of_members'( X )
% 10.72/11.15 , Y ) ) ],
% 10.72/11.15 [ ~( 'compact_space'( X, Y ) ), 'topological_space'( X, Y ) ],
% 10.72/11.15 [ ~( 'compact_space'( X, Y ) ), ~( 'open_covering'( Z, X, Y ) ), finite(
% 10.72/11.15 f23( X, Y, Z ) ) ],
% 10.72/11.15 [ ~( 'compact_space'( X, Y ) ), ~( 'open_covering'( Z, X, Y ) ),
% 10.72/11.15 'subset_collections'( f23( X, Y, Z ), Z ) ],
% 10.72/11.15 [ ~( 'compact_space'( X, Y ) ), ~( 'open_covering'( Z, X, Y ) ),
% 10.72/11.15 'open_covering'( f23( X, Y, Z ), X, Y ) ],
% 10.72/11.15 [ 'compact_space'( X, Y ), ~( 'topological_space'( X, Y ) ),
% 10.72/11.15 'open_covering'( f24( X, Y ), X, Y ) ],
% 10.72/11.15 [ 'compact_space'( X, Y ), ~( 'topological_space'( X, Y ) ), ~( finite(
% 10.72/11.15 Z ) ), ~( 'subset_collections'( Z, f24( X, Y ) ) ), ~( 'open_covering'( Z
% 10.72/11.15 , X, Y ) ) ],
% 10.72/11.15 [ ~( 'compact_set'( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 10.72/11.15 [ ~( 'compact_set'( X, Y, Z ) ), 'subset_sets'( X, Y ) ],
% 10.72/11.15 [ ~( 'compact_set'( X, Y, Z ) ), 'compact_space'( X, 'subspace_topology'(
% 10.72/11.15 Y, Z, X ) ) ],
% 10.72/11.15 [ 'compact_set'( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~(
% 10.72/11.15 'subset_sets'( X, Y ) ), ~( 'compact_space'( X, 'subspace_topology'( Y, Z
% 10.72/11.15 , X ) ) ) ],
% 10.72/11.15 [ basis( cx, f ) ],
% 10.72/11.15 [ ~( 'element_of_collection'( 'empty_set', 'top_of_basis'( f ) ) ) ]
% 10.72/11.15 ] .
% 10.72/11.15
% 10.72/11.15
% 10.72/11.15 percentage equality = 0.000000, percentage horn = 0.792793
% 10.72/11.15 This a non-horn, non-equality problem
% 10.72/11.15
% 10.72/11.15
% 10.72/11.15 Options Used:
% 10.72/11.15
% 10.72/11.15 useres = 1
% 10.72/11.15 useparamod = 0
% 10.72/11.15 useeqrefl = 0
% 10.72/11.15 useeqfact = 0
% 10.72/11.15 usefactor = 1
% 10.72/11.15 usesimpsplitting = 0
% 10.72/11.15 usesimpdemod = 0
% 10.72/11.15 usesimpres = 3
% 10.72/11.15
% 10.72/11.15 resimpinuse = 1000
% 10.72/11.15 resimpclauses = 20000
% 10.72/11.15 substype = standard
% 10.72/11.15 backwardsubs = 1
% 10.72/11.15 selectoldest = 5
% 10.72/11.15
% 10.72/11.15 litorderings [0] = split
% 10.72/11.15 litorderings [1] = liftord
% 10.72/11.15
% 10.72/11.15 termordering = none
% 10.72/11.15
% 10.72/11.15 litapriori = 1
% 10.72/11.15 termapriori = 0
% 10.72/11.15 litaposteriori = 0
% 10.72/11.15 termaposteriori = 0
% 10.72/11.15 demodaposteriori = 0
% 10.72/11.15 ordereqreflfact = 0
% 10.72/11.15
% 10.72/11.15 litselect = none
% 10.72/11.15
% 10.72/11.15 maxweight = 15
% 10.72/11.15 maxdepth = 30000
% 10.72/11.15 maxlength = 115
% 10.72/11.15 maxnrvars = 195
% 10.72/11.15 excuselevel = 1
% 10.72/11.15 increasemaxweight = 1
% 10.72/11.15
% 10.72/11.15 maxselected = 10000000
% 10.72/11.15 maxnrclauses = 10000000
% 10.72/11.15
% 10.72/11.15 showgenerated = 0
% 10.72/11.15 showkept = 0
% 10.72/11.15 showselected = 0
% 10.72/11.15 showdeleted = 0
% 10.72/11.15 showresimp = 1
% 10.72/11.15 showstatus = 2000
% 10.72/11.15
% 10.72/11.15 prologoutput = 1
% 10.72/11.15 nrgoals = 5000000
% 10.72/11.15 totalproof = 1
% 10.72/11.15
% 10.72/11.15 Symbols occurring in the translation:
% 10.72/11.15
% 10.72/11.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 10.72/11.15 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 10.72/11.15 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 10.72/11.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.72/11.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.72/11.15 'union_of_members' [41, 1] (w:1, o:43, a:1, s:1, b:0),
% 10.72/11.15 'element_of_set' [42, 2] (w:1, o:74, a:1, s:1, b:0),
% 10.72/11.15 f1 [43, 2] (w:1, o:78, a:1, s:1, b:0),
% 10.72/11.15 'element_of_collection' [44, 2] (w:1, o:75, a:1, s:1, b:0),
% 10.72/11.15 'intersection_of_members' [46, 1] (w:1, o:44, a:1, s:1, b:0),
% 10.72/11.15 f2 [48, 2] (w:1, o:81, a:1, s:1, b:0),
% 10.72/11.15 'topological_space' [51, 2] (w:1, o:85, a:1, s:1, b:0),
% 10.72/11.15 'equal_sets' [52, 2] (w:1, o:76, a:1, s:1, b:0),
% 10.72/11.15 'empty_set' [53, 0] (w:1, o:24, a:1, s:1, b:0),
% 10.72/11.15 'intersection_of_sets' [56, 2] (w:1, o:87, a:1, s:1, b:0),
% 10.72/11.15 'subset_collections' [57, 2] (w:1, o:83, a:1, s:1, b:0),
% 10.72/11.15 f3 [58, 2] (w:1, o:92, a:1, s:1, b:0),
% 10.72/11.15 f5 [59, 2] (w:1, o:94, a:1, s:1, b:0),
% 10.72/11.15 f4 [60, 2] (w:1, o:93, a:1, s:1, b:0),
% 10.72/11.15 open [61, 3] (w:1, o:100, a:1, s:1, b:0),
% 10.72/11.15 closed [62, 3] (w:1, o:102, a:1, s:1, b:0),
% 10.72/11.15 'relative_complement_sets' [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 10.72/11.15 finer [65, 3] (w:1, o:103, a:1, s:1, b:0),
% 10.72/11.15 basis [66, 2] (w:1, o:95, a:1, s:1, b:0),
% 131.64/132.07 f6 [69, 5] (w:1, o:121, a:1, s:1, b:0),
% 131.64/132.07 'subset_sets' [70, 2] (w:1, o:84, a:1, s:1, b:0),
% 131.64/132.07 f7 [71, 2] (w:1, o:96, a:1, s:1, b:0),
% 131.64/132.07 f8 [72, 2] (w:1, o:97, a:1, s:1, b:0),
% 131.64/132.07 f9 [73, 2] (w:1, o:98, a:1, s:1, b:0),
% 131.64/132.07 'top_of_basis' [75, 1] (w:1, o:42, a:1, s:1, b:0),
% 131.64/132.07 f10 [76, 3] (w:1, o:104, a:1, s:1, b:0),
% 131.64/132.07 f11 [77, 2] (w:1, o:79, a:1, s:1, b:0),
% 131.64/132.07 'subspace_topology' [79, 3] (w:1, o:105, a:1, s:1, b:0),
% 131.64/132.07 f12 [80, 4] (w:1, o:112, a:1, s:1, b:0),
% 131.64/132.07 interior [82, 3] (w:1, o:106, a:1, s:1, b:0),
% 131.64/132.07 f13 [83, 4] (w:1, o:113, a:1, s:1, b:0),
% 131.64/132.07 closure [85, 3] (w:1, o:107, a:1, s:1, b:0),
% 131.64/132.07 f14 [87, 4] (w:1, o:114, a:1, s:1, b:0),
% 131.64/132.07 neighborhood [88, 4] (w:1, o:115, a:1, s:1, b:0),
% 131.64/132.07 'limit_point' [89, 4] (w:1, o:116, a:1, s:1, b:0),
% 131.64/132.07 f15 [90, 5] (w:1, o:122, a:1, s:1, b:0),
% 131.64/132.07 'eq_p' [91, 2] (w:1, o:77, a:1, s:1, b:0),
% 131.64/132.07 f16 [92, 4] (w:1, o:117, a:1, s:1, b:0),
% 131.64/132.07 boundary [94, 3] (w:1, o:101, a:1, s:1, b:0),
% 131.64/132.07 hausdorff [95, 2] (w:1, o:86, a:1, s:1, b:0),
% 131.64/132.07 f17 [98, 4] (w:1, o:118, a:1, s:1, b:0),
% 131.64/132.07 f18 [99, 4] (w:1, o:119, a:1, s:1, b:0),
% 131.64/132.07 'disjoint_s' [100, 2] (w:1, o:73, a:1, s:1, b:0),
% 131.64/132.07 f19 [101, 2] (w:1, o:80, a:1, s:1, b:0),
% 131.64/132.07 f20 [102, 2] (w:1, o:88, a:1, s:1, b:0),
% 131.64/132.07 separation [107, 4] (w:1, o:120, a:1, s:1, b:0),
% 131.64/132.07 'union_of_sets' [108, 2] (w:1, o:99, a:1, s:1, b:0),
% 131.64/132.07 'connected_space' [109, 2] (w:1, o:72, a:1, s:1, b:0),
% 131.64/132.07 f21 [110, 2] (w:1, o:89, a:1, s:1, b:0),
% 131.64/132.07 f22 [111, 2] (w:1, o:90, a:1, s:1, b:0),
% 131.64/132.07 'connected_set' [112, 3] (w:1, o:109, a:1, s:1, b:0),
% 131.64/132.07 'open_covering' [113, 3] (w:1, o:110, a:1, s:1, b:0),
% 131.64/132.07 'compact_space' [114, 2] (w:1, o:71, a:1, s:1, b:0),
% 131.64/132.07 f23 [116, 3] (w:1, o:111, a:1, s:1, b:0),
% 131.64/132.07 finite [117, 1] (w:1, o:45, a:1, s:1, b:0),
% 131.64/132.07 f24 [118, 2] (w:1, o:91, a:1, s:1, b:0),
% 131.64/132.07 'compact_set' [120, 3] (w:1, o:108, a:1, s:1, b:0),
% 131.64/132.07 cx [121, 0] (w:1, o:35, a:1, s:1, b:0),
% 131.64/132.07 f [122, 0] (w:1, o:36, a:1, s:1, b:0).
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Starting Search:
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Failed to find proof!
% 131.64/132.07 maxweight = 15
% 131.64/132.07 maxnrclauses = 10000000
% 131.64/132.07 Generated: 88867
% 131.64/132.07 Kept: 1712
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 The strategy used was not complete!
% 131.64/132.07
% 131.64/132.07 Increased maxweight to 16
% 131.64/132.07
% 131.64/132.07 Starting Search:
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Intermediate Status:
% 131.64/132.07 Generated: 14516
% 131.64/132.07 Kept: 2001
% 131.64/132.07 Inuse: 520
% 131.64/132.07 Deleted: 40
% 131.64/132.07 Deletedinuse: 12
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Failed to find proof!
% 131.64/132.07 maxweight = 16
% 131.64/132.07 maxnrclauses = 10000000
% 131.64/132.07 Generated: 425196
% 131.64/132.07 Kept: 3301
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 The strategy used was not complete!
% 131.64/132.07
% 131.64/132.07 Increased maxweight to 17
% 131.64/132.07
% 131.64/132.07 Starting Search:
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Intermediate Status:
% 131.64/132.07 Generated: 7589
% 131.64/132.07 Kept: 2000
% 131.64/132.07 Inuse: 412
% 131.64/132.07 Deleted: 26
% 131.64/132.07 Deletedinuse: 5
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Intermediate Status:
% 131.64/132.07 Generated: 19250
% 131.64/132.07 Kept: 4009
% 131.64/132.07 Inuse: 581
% 131.64/132.07 Deleted: 50
% 131.64/132.07 Deletedinuse: 22
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Intermediate Status:
% 131.64/132.07 Generated: 41897
% 131.64/132.07 Kept: 6014
% 131.64/132.07 Inuse: 747
% 131.64/132.07 Deleted: 80
% 131.64/132.07 Deletedinuse: 22
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Intermediate Status:
% 131.64/132.07 Generated: 186809
% 131.64/132.07 Kept: 8014
% 131.64/132.07 Inuse: 1798
% 131.64/132.07 Deleted: 180
% 131.64/132.07 Deletedinuse: 22
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Failed to find proof!
% 131.64/132.07 maxweight = 17
% 131.64/132.07 maxnrclauses = 10000000
% 131.64/132.07 Generated: 2396783
% 131.64/132.07 Kept: 8680
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 The strategy used was not complete!
% 131.64/132.07
% 131.64/132.07 Increased maxweight to 18
% 131.64/132.07
% 131.64/132.07 Starting Search:
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Intermediate Status:
% 131.64/132.07 Generated: 6267
% 131.64/132.07 Kept: 2015
% 131.64/132.07 Inuse: 387
% 131.64/132.07 Deleted: 24
% 131.64/132.07 Deletedinuse: 5
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Intermediate Status:
% 131.64/132.07 Generated: 15423
% 131.64/132.07 Kept: 4019
% 131.64/132.07 Inuse: 513
% 131.64/132.07 Deleted: 39
% 131.64/132.07 Deletedinuse: 15
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07 Resimplifying inuse:
% 131.64/132.07 Done
% 131.64/132.07
% 131.64/132.07
% 131.64/132.07 Intermediate Status:
% 131.64/132.07 Generated: 26046
% 131.64/132.07 Kept: 6045
% 131.64/132.07 Inuse: 659
% 131.64/132.07 Deleted: 50
% 131.64/132.07 DeleteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------