TSTP Solution File: TOP001-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : TOP001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 300.08s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.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 % DateTime : Sun May 29 06:41:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.12 *** allocated 10000 integers for termspace/termends
% 0.70/1.12 *** allocated 10000 integers for clauses
% 0.70/1.12 *** allocated 10000 integers for justifications
% 0.70/1.12 Bliksem 1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Automatic Strategy Selection
% 0.70/1.12
% 0.70/1.12 Clauses:
% 0.70/1.12 [
% 0.70/1.12 [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ), 'element_of_set'(
% 0.70/1.12 X, f1( Y, X ) ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.70/1.12 'element_of_collection'( f1( Y, X ), Y ) ],
% 0.70/1.12 [ 'element_of_set'( X, 'union_of_members'( Y ) ), ~( 'element_of_set'( X
% 0.70/1.12 , Z ) ), ~( 'element_of_collection'( Z, Y ) ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, 'intersection_of_members'( Y ) ) ), ~(
% 0.70/1.12 'element_of_collection'( Z, Y ) ), 'element_of_set'( X, Z ) ],
% 0.70/1.12 [ 'element_of_set'( X, 'intersection_of_members'( Y ) ),
% 0.70/1.12 'element_of_collection'( f2( Y, X ), Y ) ],
% 0.70/1.12 [ 'element_of_set'( X, 'intersection_of_members'( Y ) ), ~(
% 0.70/1.12 'element_of_set'( X, f2( Y, X ) ) ) ],
% 0.70/1.12 [ ~( 'topological_space'( X, Y ) ), 'equal_sets'( 'union_of_members'( Y
% 0.70/1.12 ), X ) ],
% 0.70/1.12 [ ~( 'topological_space'( X, Y ) ), 'element_of_collection'( 'empty_set'
% 0.70/1.12 , Y ) ],
% 0.70/1.12 [ ~( 'topological_space'( X, Y ) ), 'element_of_collection'( X, Y ) ]
% 0.70/1.12 ,
% 0.70/1.12 [ ~( 'topological_space'( X, Y ) ), ~( 'element_of_collection'( Z, Y ) )
% 0.70/1.12 , ~( 'element_of_collection'( T, Y ) ), 'element_of_collection'(
% 0.70/1.12 'intersection_of_sets'( Z, T ), Y ) ],
% 0.70/1.12 [ ~( 'topological_space'( X, Y ) ), ~( 'subset_collections'( Z, Y ) ),
% 0.70/1.12 'element_of_collection'( 'union_of_members'( Z ), Y ) ],
% 0.70/1.12 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.12 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.12 'element_of_collection'( X, Y ) ), 'element_of_collection'( f3( X, Y ), Y
% 0.70/1.12 ), 'subset_collections'( f5( X, Y ), Y ) ],
% 0.70/1.12 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.12 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.12 'element_of_collection'( X, Y ) ), 'element_of_collection'( f3( X, Y ), Y
% 0.70/1.12 ), ~( 'element_of_collection'( 'union_of_members'( f5( X, Y ) ), Y ) ) ]
% 0.70/1.12 ,
% 0.70/1.12 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.12 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.12 'element_of_collection'( X, Y ) ), 'element_of_collection'( f4( X, Y ), Y
% 0.70/1.12 ), 'subset_collections'( f5( X, Y ), Y ) ],
% 0.70/1.12 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.12 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.12 'element_of_collection'( X, Y ) ), 'element_of_collection'( f4( X, Y ), Y
% 0.70/1.12 ), ~( 'element_of_collection'( 'union_of_members'( f5( X, Y ) ), Y ) ) ]
% 0.70/1.12 ,
% 0.70/1.12 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.12 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.12 'element_of_collection'( X, Y ) ), ~( 'element_of_collection'(
% 0.70/1.12 'intersection_of_sets'( f3( X, Y ), f4( X, Y ) ), Y ) ),
% 0.70/1.12 'subset_collections'( f5( X, Y ), Y ) ],
% 0.70/1.12 [ 'topological_space'( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y )
% 0.70/1.12 , X ) ), ~( 'element_of_collection'( 'empty_set', Y ) ), ~(
% 0.70/1.12 'element_of_collection'( X, Y ) ), ~( 'element_of_collection'(
% 0.70/1.12 'intersection_of_sets'( f3( X, Y ), f4( X, Y ) ), Y ) ), ~(
% 0.70/1.12 'element_of_collection'( 'union_of_members'( f5( X, Y ) ), Y ) ) ],
% 0.70/1.12 [ ~( open( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 0.70/1.12 [ ~( open( X, Y, Z ) ), 'element_of_collection'( X, Z ) ],
% 0.70/1.12 [ open( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~(
% 0.70/1.12 'element_of_collection'( X, Z ) ) ],
% 0.70/1.12 [ ~( closed( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 0.70/1.12 [ ~( closed( X, Y, Z ) ), open( 'relative_complement_sets'( X, Y ), Y, Z
% 0.70/1.12 ) ],
% 0.70/1.12 [ closed( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~( open(
% 0.70/1.12 'relative_complement_sets'( X, Y ), Y, Z ) ) ],
% 0.70/1.12 [ ~( finer( X, Y, Z ) ), 'topological_space'( Z, X ) ],
% 0.70/1.12 [ ~( finer( X, Y, Z ) ), 'topological_space'( Z, Y ) ],
% 0.70/1.12 [ ~( finer( X, Y, Z ) ), 'subset_collections'( Y, X ) ],
% 0.70/1.12 [ finer( X, Y, Z ), ~( 'topological_space'( Z, X ) ), ~(
% 0.70/1.12 'topological_space'( Z, Y ) ), ~( 'subset_collections'( Y, X ) ) ],
% 0.70/1.12 [ ~( basis( X, Y ) ), 'equal_sets'( 'union_of_members'( Y ), X ) ],
% 0.70/1.12 [ ~( basis( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.12 'element_of_collection'( T, Y ) ), ~( 'element_of_collection'( U, Y ) ),
% 0.70/1.12 ~( 'element_of_set'( Z, 'intersection_of_sets'( T, U ) ) ),
% 0.70/1.12 'element_of_set'( Z, f6( X, Y, Z, T, U ) ) ],
% 0.70/1.12 [ ~( basis( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.12 'element_of_collection'( T, Y ) ), ~( 'element_of_collection'( U, Y ) ),
% 0.70/1.12 ~( 'element_of_set'( Z, 'intersection_of_sets'( T, U ) ) ),
% 0.70/1.12 'element_of_collection'( f6( X, Y, Z, T, U ), Y ) ],
% 0.70/1.12 [ ~( basis( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.12 'element_of_collection'( T, Y ) ), ~( 'element_of_collection'( U, Y ) ),
% 0.70/1.12 ~( 'element_of_set'( Z, 'intersection_of_sets'( T, U ) ) ), 'subset_sets'(
% 0.70/1.12 f6( X, Y, Z, T, U ), 'intersection_of_sets'( T, U ) ) ],
% 0.70/1.12 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ),
% 0.70/1.12 'element_of_set'( f7( X, Y ), X ) ],
% 0.70/1.12 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ),
% 0.70/1.12 'element_of_collection'( f8( X, Y ), Y ) ],
% 0.70/1.12 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ),
% 0.70/1.12 'element_of_collection'( f9( X, Y ), Y ) ],
% 0.70/1.12 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ),
% 0.70/1.12 'element_of_set'( f7( X, Y ), 'intersection_of_sets'( f8( X, Y ), f9( X,
% 0.70/1.12 Y ) ) ) ],
% 0.70/1.12 [ basis( X, Y ), ~( 'equal_sets'( 'union_of_members'( Y ), X ) ), ~(
% 0.70/1.12 'element_of_set'( f7( X, Y ), Z ) ), ~( 'element_of_collection'( Z, Y ) )
% 0.70/1.12 , ~( 'subset_sets'( Z, 'intersection_of_sets'( f8( X, Y ), f9( X, Y ) ) )
% 0.70/1.12 ) ],
% 0.70/1.12 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.70/1.12 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X, Z ) ) ],
% 0.70/1.12 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.70/1.12 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y, X, Z ), Y )
% 0.70/1.12 ],
% 0.70/1.12 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.70/1.12 'element_of_set'( Z, X ) ), 'subset_sets'( f10( Y, X, Z ), X ) ],
% 0.70/1.12 [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), 'element_of_set'(
% 0.70/1.12 f11( Y, X ), X ) ],
% 0.70/1.12 [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), ~( 'element_of_set'(
% 0.70/1.12 f11( Y, X ), Z ) ), ~( 'element_of_collection'( Z, Y ) ), ~(
% 0.70/1.12 'subset_sets'( Z, X ) ) ],
% 0.70/1.12 [ ~( 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ) ),
% 0.70/1.12 'topological_space'( Y, Z ) ],
% 0.70/1.12 [ ~( 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ) ),
% 0.70/1.12 'subset_sets'( T, Y ) ],
% 0.70/1.12 [ ~( 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ) ),
% 0.70/1.12 'element_of_collection'( f12( Y, Z, T, X ), Z ) ],
% 0.70/1.12 [ ~( 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ) ),
% 0.70/1.12 'equal_sets'( X, 'intersection_of_sets'( T, f12( Y, Z, T, X ) ) ) ],
% 0.70/1.12 [ 'element_of_collection'( X, 'subspace_topology'( Y, Z, T ) ), ~(
% 0.70/1.12 'topological_space'( Y, Z ) ), ~( 'subset_sets'( T, Y ) ), ~(
% 0.70/1.12 'element_of_collection'( U, Z ) ), ~( 'equal_sets'( X,
% 0.70/1.12 'intersection_of_sets'( T, U ) ) ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), 'topological_space'(
% 0.70/1.12 Z, T ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), 'subset_sets'( Y, Z )
% 0.70/1.12 ],
% 0.70/1.12 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), 'element_of_set'( X,
% 0.70/1.12 f13( Y, Z, T, X ) ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), 'subset_sets'( f13( Y
% 0.70/1.12 , Z, T, X ), Y ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, interior( Y, Z, T ) ) ), open( f13( Y, Z, T, X
% 0.70/1.12 ), Z, T ) ],
% 0.70/1.12 [ 'element_of_set'( X, interior( Y, Z, T ) ), ~( 'topological_space'( Z
% 0.70/1.12 , T ) ), ~( 'subset_sets'( Y, Z ) ), ~( 'element_of_set'( X, U ) ), ~(
% 0.70/1.12 'subset_sets'( U, Y ) ), ~( open( U, Z, T ) ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, closure( Y, Z, T ) ) ), 'topological_space'( Z
% 0.70/1.12 , T ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, closure( Y, Z, T ) ) ), 'subset_sets'( Y, Z )
% 0.70/1.12 ],
% 0.70/1.12 [ ~( 'element_of_set'( X, closure( Y, Z, T ) ) ), ~( 'subset_sets'( Y, U
% 0.70/1.12 ) ), ~( closed( U, Z, T ) ), 'element_of_set'( X, U ) ],
% 0.70/1.12 [ 'element_of_set'( X, closure( Y, Z, T ) ), ~( 'topological_space'( Z,
% 0.70/1.12 T ) ), ~( 'subset_sets'( Y, Z ) ), 'subset_sets'( Y, f14( Y, Z, T, X ) )
% 0.70/1.12 ],
% 0.70/1.12 [ 'element_of_set'( X, closure( Y, Z, T ) ), ~( 'topological_space'( Z,
% 0.70/1.12 T ) ), ~( 'subset_sets'( Y, Z ) ), closed( f14( Y, Z, T, X ), Z, T ) ]
% 0.70/1.12 ,
% 0.70/1.12 [ 'element_of_set'( X, closure( Y, Z, T ) ), ~( 'topological_space'( Z,
% 0.70/1.12 T ) ), ~( 'subset_sets'( Y, Z ) ), ~( 'element_of_set'( X, f14( Y, Z, T,
% 0.70/1.12 X ) ) ) ],
% 0.70/1.12 [ ~( neighborhood( X, Y, Z, T ) ), 'topological_space'( Z, T ) ],
% 0.70/1.12 [ ~( neighborhood( X, Y, Z, T ) ), open( X, Z, T ) ],
% 0.70/1.12 [ ~( neighborhood( X, Y, Z, T ) ), 'element_of_set'( Y, X ) ],
% 0.70/1.12 [ neighborhood( X, Y, Z, T ), ~( 'topological_space'( Z, T ) ), ~( open(
% 0.70/1.12 X, Z, T ) ), ~( 'element_of_set'( Y, X ) ) ],
% 0.70/1.12 [ ~( 'limit_point'( X, Y, Z, T ) ), 'topological_space'( Z, T ) ],
% 0.70/1.12 [ ~( 'limit_point'( X, Y, Z, T ) ), 'subset_sets'( Y, Z ) ],
% 0.70/1.12 [ ~( 'limit_point'( X, Y, Z, T ) ), ~( neighborhood( U, X, Z, T ) ),
% 0.70/1.12 'element_of_set'( f15( X, Y, Z, T, U ), 'intersection_of_sets'( U, Y ) )
% 0.70/1.12 ],
% 0.70/1.12 [ ~( 'limit_point'( X, Y, Z, T ) ), ~( neighborhood( U, X, Z, T ) ), ~(
% 0.70/1.12 'eq_p'( f15( X, Y, Z, T, U ), X ) ) ],
% 0.70/1.12 [ 'limit_point'( X, Y, Z, T ), ~( 'topological_space'( Z, T ) ), ~(
% 0.70/1.12 'subset_sets'( Y, Z ) ), neighborhood( f16( X, Y, Z, T ), X, Z, T ) ]
% 0.70/1.12 ,
% 0.70/1.12 [ 'limit_point'( X, Y, Z, T ), ~( 'topological_space'( Z, T ) ), ~(
% 0.70/1.12 'subset_sets'( Y, Z ) ), ~( 'element_of_set'( U, 'intersection_of_sets'(
% 0.70/1.12 f16( X, Y, Z, T ), Y ) ) ), 'eq_p'( U, X ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, boundary( Y, Z, T ) ) ), 'topological_space'(
% 0.70/1.12 Z, T ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, boundary( Y, Z, T ) ) ), 'element_of_set'( X,
% 0.70/1.12 closure( Y, Z, T ) ) ],
% 0.70/1.12 [ ~( 'element_of_set'( X, boundary( Y, Z, T ) ) ), 'element_of_set'( X,
% 0.70/1.12 closure( 'relative_complement_sets'( Y, Z ), Z, T ) ) ],
% 0.70/1.12 [ 'element_of_set'( X, boundary( Y, Z, T ) ), ~( 'topological_space'( Z
% 0.70/1.12 , T ) ), ~( 'element_of_set'( X, closure( Y, Z, T ) ) ), ~(
% 0.70/1.12 'element_of_set'( X, closure( 'relative_complement_sets'( Y, Z ), Z, T )
% 0.70/1.12 ) ) ],
% 0.70/1.12 [ ~( hausdorff( X, Y ) ), 'topological_space'( X, Y ) ],
% 0.70/1.12 [ ~( hausdorff( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.12 'element_of_set'( T, X ) ), 'eq_p'( Z, T ), neighborhood( f17( X, Y, Z, T
% 0.70/1.12 ), Z, X, Y ) ],
% 0.70/1.12 [ ~( hausdorff( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.12 'element_of_set'( T, X ) ), 'eq_p'( Z, T ), neighborhood( f18( X, Y, Z, T
% 0.70/1.12 ), T, X, Y ) ],
% 0.70/1.12 [ ~( hausdorff( X, Y ) ), ~( 'element_of_set'( Z, X ) ), ~(
% 0.70/1.12 'element_of_set'( T, X ) ), 'eq_p'( Z, T ), 'disjoint_s'( f17( X, Y, Z, T
% 0.70/1.12 ), f18( X, Y, Z, T ) ) ],
% 0.70/1.12 [ hausdorff( X, Y ), ~( 'topological_space'( X, Y ) ), 'element_of_set'(
% 0.70/1.12 f19( X, Y ), X ) ],
% 0.70/1.12 [ hausdorff( X, Y ), ~( 'topological_space'( X, Y ) ), 'element_of_set'(
% 0.70/1.12 f20( X, Y ), X ) ],
% 0.70/1.12 [ hausdorff( X, Y ), ~( 'topological_space'( X, Y ) ), ~( 'eq_p'( f19( X
% 0.70/1.12 , Y ), f20( X, Y ) ) ) ],
% 0.70/1.12 [ hausdorff( X, Y ), ~( 'topological_space'( X, Y ) ), ~( neighborhood(
% 0.70/1.12 Z, f19( X, Y ), X, Y ) ), ~( neighborhood( T, f20( X, Y ), X, Y ) ), ~(
% 0.70/1.12 'disjoint_s'( Z, T ) ) ],
% 0.70/1.12 [ ~( separation( X, Y, Z, T ) ), 'topological_space'( Z, T ) ],
% 0.70/1.12 [ ~( separation( X, Y, Z, T ) ), ~( 'equal_sets'( X, 'empty_set' ) ) ]
% 0.70/1.12 ,
% 0.70/1.12 [ ~( separation( X, Y, Z, T ) ), ~( 'equal_sets'( Y, 'empty_set' ) ) ]
% 0.70/1.12 ,
% 0.70/1.12 [ ~( separation( X, Y, Z, T ) ), 'element_of_collection'( X, T ) ],
% 0.70/1.12 [ ~( separation( X, Y, Z, T ) ), 'element_of_collection'( Y, T ) ],
% 0.70/1.12 [ ~( separation( X, Y, Z, T ) ), 'equal_sets'( 'union_of_sets'( X, Y ),
% 0.70/1.12 Z ) ],
% 0.70/1.12 [ ~( separation( X, Y, Z, T ) ), 'disjoint_s'( X, Y ) ],
% 0.70/1.12 [ separation( X, Y, Z, T ), ~( 'topological_space'( Z, T ) ),
% 0.70/1.12 'equal_sets'( X, 'empty_set' ), 'equal_sets'( Y, 'empty_set' ), ~(
% 0.70/1.12 'element_of_collection'( X, T ) ), ~( 'element_of_collection'( Y, T ) ),
% 0.70/1.12 ~( 'equal_sets'( 'union_of_sets'( X, Y ), Z ) ), ~( 'disjoint_s'( X, Y )
% 0.70/1.12 ) ],
% 0.70/1.12 [ ~( 'connected_space'( X, Y ) ), 'topological_space'( X, Y ) ],
% 0.70/1.12 [ ~( 'connected_space'( X, Y ) ), ~( separation( Z, T, X, Y ) ) ],
% 0.70/1.12 [ 'connected_space'( X, Y ), ~( 'topological_space'( X, Y ) ),
% 0.70/1.12 separation( f21( X, Y ), f22( X, Y ), X, Y ) ],
% 0.70/1.12 [ ~( 'connected_set'( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 0.70/1.12 [ ~( 'connected_set'( X, Y, Z ) ), 'subset_sets'( X, Y ) ],
% 0.70/1.12 [ ~( 'connected_set'( X, Y, Z ) ), 'connected_space'( X,
% 9.38/9.76 'subspace_topology'( Y, Z, X ) ) ],
% 9.38/9.76 [ 'connected_set'( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~(
% 9.38/9.76 'subset_sets'( X, Y ) ), ~( 'connected_space'( X, 'subspace_topology'( Y
% 9.38/9.76 , Z, X ) ) ) ],
% 9.38/9.76 [ ~( 'open_covering'( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 9.38/9.76 [ ~( 'open_covering'( X, Y, Z ) ), 'subset_collections'( X, Z ) ],
% 9.38/9.76 [ ~( 'open_covering'( X, Y, Z ) ), 'equal_sets'( 'union_of_members'( X )
% 9.38/9.76 , Y ) ],
% 9.38/9.76 [ 'open_covering'( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~(
% 9.38/9.76 'subset_collections'( X, Z ) ), ~( 'equal_sets'( 'union_of_members'( X )
% 9.38/9.76 , Y ) ) ],
% 9.38/9.76 [ ~( 'compact_space'( X, Y ) ), 'topological_space'( X, Y ) ],
% 9.38/9.76 [ ~( 'compact_space'( X, Y ) ), ~( 'open_covering'( Z, X, Y ) ), finite(
% 9.38/9.76 f23( X, Y, Z ) ) ],
% 9.38/9.76 [ ~( 'compact_space'( X, Y ) ), ~( 'open_covering'( Z, X, Y ) ),
% 9.38/9.76 'subset_collections'( f23( X, Y, Z ), Z ) ],
% 9.38/9.76 [ ~( 'compact_space'( X, Y ) ), ~( 'open_covering'( Z, X, Y ) ),
% 9.38/9.76 'open_covering'( f23( X, Y, Z ), X, Y ) ],
% 9.38/9.76 [ 'compact_space'( X, Y ), ~( 'topological_space'( X, Y ) ),
% 9.38/9.76 'open_covering'( f24( X, Y ), X, Y ) ],
% 9.38/9.76 [ 'compact_space'( X, Y ), ~( 'topological_space'( X, Y ) ), ~( finite(
% 9.38/9.76 Z ) ), ~( 'subset_collections'( Z, f24( X, Y ) ) ), ~( 'open_covering'( Z
% 9.38/9.76 , X, Y ) ) ],
% 9.38/9.76 [ ~( 'compact_set'( X, Y, Z ) ), 'topological_space'( Y, Z ) ],
% 9.38/9.76 [ ~( 'compact_set'( X, Y, Z ) ), 'subset_sets'( X, Y ) ],
% 9.38/9.76 [ ~( 'compact_set'( X, Y, Z ) ), 'compact_space'( X, 'subspace_topology'(
% 9.38/9.76 Y, Z, X ) ) ],
% 9.38/9.76 [ 'compact_set'( X, Y, Z ), ~( 'topological_space'( Y, Z ) ), ~(
% 9.38/9.76 'subset_sets'( X, Y ) ), ~( 'compact_space'( X, 'subspace_topology'( Y, Z
% 9.38/9.76 , X ) ) ) ],
% 9.38/9.76 [ basis( cx, f ) ],
% 9.38/9.76 [ ~( 'subset_sets'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ]
% 9.38/9.76
% 9.38/9.76 ] .
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 percentage equality = 0.000000, percentage horn = 0.792793
% 9.38/9.76 This a non-horn, non-equality problem
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 Options Used:
% 9.38/9.76
% 9.38/9.76 useres = 1
% 9.38/9.76 useparamod = 0
% 9.38/9.76 useeqrefl = 0
% 9.38/9.76 useeqfact = 0
% 9.38/9.76 usefactor = 1
% 9.38/9.76 usesimpsplitting = 0
% 9.38/9.76 usesimpdemod = 0
% 9.38/9.76 usesimpres = 3
% 9.38/9.76
% 9.38/9.76 resimpinuse = 1000
% 9.38/9.76 resimpclauses = 20000
% 9.38/9.76 substype = standard
% 9.38/9.76 backwardsubs = 1
% 9.38/9.76 selectoldest = 5
% 9.38/9.76
% 9.38/9.76 litorderings [0] = split
% 9.38/9.76 litorderings [1] = liftord
% 9.38/9.76
% 9.38/9.76 termordering = none
% 9.38/9.76
% 9.38/9.76 litapriori = 1
% 9.38/9.76 termapriori = 0
% 9.38/9.76 litaposteriori = 0
% 9.38/9.76 termaposteriori = 0
% 9.38/9.76 demodaposteriori = 0
% 9.38/9.76 ordereqreflfact = 0
% 9.38/9.76
% 9.38/9.76 litselect = none
% 9.38/9.76
% 9.38/9.76 maxweight = 15
% 9.38/9.76 maxdepth = 30000
% 9.38/9.76 maxlength = 115
% 9.38/9.76 maxnrvars = 195
% 9.38/9.76 excuselevel = 1
% 9.38/9.76 increasemaxweight = 1
% 9.38/9.76
% 9.38/9.76 maxselected = 10000000
% 9.38/9.76 maxnrclauses = 10000000
% 9.38/9.76
% 9.38/9.76 showgenerated = 0
% 9.38/9.76 showkept = 0
% 9.38/9.76 showselected = 0
% 9.38/9.76 showdeleted = 0
% 9.38/9.76 showresimp = 1
% 9.38/9.76 showstatus = 2000
% 9.38/9.76
% 9.38/9.76 prologoutput = 1
% 9.38/9.76 nrgoals = 5000000
% 9.38/9.76 totalproof = 1
% 9.38/9.76
% 9.38/9.76 Symbols occurring in the translation:
% 9.38/9.76
% 9.38/9.76 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.38/9.76 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 9.38/9.76 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 9.38/9.76 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.38/9.76 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.38/9.76 'union_of_members' [41, 1] (w:1, o:43, a:1, s:1, b:0),
% 9.38/9.76 'element_of_set' [42, 2] (w:1, o:74, a:1, s:1, b:0),
% 9.38/9.76 f1 [43, 2] (w:1, o:78, a:1, s:1, b:0),
% 9.38/9.76 'element_of_collection' [44, 2] (w:1, o:75, a:1, s:1, b:0),
% 9.38/9.76 'intersection_of_members' [46, 1] (w:1, o:44, a:1, s:1, b:0),
% 9.38/9.76 f2 [48, 2] (w:1, o:81, a:1, s:1, b:0),
% 9.38/9.76 'topological_space' [51, 2] (w:1, o:85, a:1, s:1, b:0),
% 9.38/9.76 'equal_sets' [52, 2] (w:1, o:76, a:1, s:1, b:0),
% 9.38/9.76 'empty_set' [53, 0] (w:1, o:24, a:1, s:1, b:0),
% 9.38/9.76 'intersection_of_sets' [56, 2] (w:1, o:87, a:1, s:1, b:0),
% 9.38/9.76 'subset_collections' [57, 2] (w:1, o:83, a:1, s:1, b:0),
% 9.38/9.76 f3 [58, 2] (w:1, o:92, a:1, s:1, b:0),
% 9.38/9.76 f5 [59, 2] (w:1, o:94, a:1, s:1, b:0),
% 9.38/9.76 f4 [60, 2] (w:1, o:93, a:1, s:1, b:0),
% 9.38/9.76 open [61, 3] (w:1, o:100, a:1, s:1, b:0),
% 9.38/9.76 closed [62, 3] (w:1, o:102, a:1, s:1, b:0),
% 9.38/9.76 'relative_complement_sets' [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 9.38/9.76 finer [65, 3] (w:1, o:103, a:1, s:1, b:0),
% 9.38/9.76 basis [66, 2] (w:1, o:95, a:1, s:1, b:0),
% 129.09/129.51 f6 [69, 5] (w:1, o:121, a:1, s:1, b:0),
% 129.09/129.51 'subset_sets' [70, 2] (w:1, o:84, a:1, s:1, b:0),
% 129.09/129.51 f7 [71, 2] (w:1, o:96, a:1, s:1, b:0),
% 129.09/129.51 f8 [72, 2] (w:1, o:97, a:1, s:1, b:0),
% 129.09/129.51 f9 [73, 2] (w:1, o:98, a:1, s:1, b:0),
% 129.09/129.51 'top_of_basis' [75, 1] (w:1, o:42, a:1, s:1, b:0),
% 129.09/129.51 f10 [76, 3] (w:1, o:104, a:1, s:1, b:0),
% 129.09/129.51 f11 [77, 2] (w:1, o:79, a:1, s:1, b:0),
% 129.09/129.51 'subspace_topology' [79, 3] (w:1, o:105, a:1, s:1, b:0),
% 129.09/129.51 f12 [80, 4] (w:1, o:112, a:1, s:1, b:0),
% 129.09/129.51 interior [82, 3] (w:1, o:106, a:1, s:1, b:0),
% 129.09/129.51 f13 [83, 4] (w:1, o:113, a:1, s:1, b:0),
% 129.09/129.51 closure [85, 3] (w:1, o:107, a:1, s:1, b:0),
% 129.09/129.51 f14 [87, 4] (w:1, o:114, a:1, s:1, b:0),
% 129.09/129.51 neighborhood [88, 4] (w:1, o:115, a:1, s:1, b:0),
% 129.09/129.51 'limit_point' [89, 4] (w:1, o:116, a:1, s:1, b:0),
% 129.09/129.51 f15 [90, 5] (w:1, o:122, a:1, s:1, b:0),
% 129.09/129.51 'eq_p' [91, 2] (w:1, o:77, a:1, s:1, b:0),
% 129.09/129.51 f16 [92, 4] (w:1, o:117, a:1, s:1, b:0),
% 129.09/129.51 boundary [94, 3] (w:1, o:101, a:1, s:1, b:0),
% 129.09/129.51 hausdorff [95, 2] (w:1, o:86, a:1, s:1, b:0),
% 129.09/129.51 f17 [98, 4] (w:1, o:118, a:1, s:1, b:0),
% 129.09/129.51 f18 [99, 4] (w:1, o:119, a:1, s:1, b:0),
% 129.09/129.51 'disjoint_s' [100, 2] (w:1, o:73, a:1, s:1, b:0),
% 129.09/129.51 f19 [101, 2] (w:1, o:80, a:1, s:1, b:0),
% 129.09/129.51 f20 [102, 2] (w:1, o:88, a:1, s:1, b:0),
% 129.09/129.51 separation [107, 4] (w:1, o:120, a:1, s:1, b:0),
% 129.09/129.51 'union_of_sets' [108, 2] (w:1, o:99, a:1, s:1, b:0),
% 129.09/129.51 'connected_space' [109, 2] (w:1, o:72, a:1, s:1, b:0),
% 129.09/129.51 f21 [110, 2] (w:1, o:89, a:1, s:1, b:0),
% 129.09/129.51 f22 [111, 2] (w:1, o:90, a:1, s:1, b:0),
% 129.09/129.51 'connected_set' [112, 3] (w:1, o:109, a:1, s:1, b:0),
% 129.09/129.51 'open_covering' [113, 3] (w:1, o:110, a:1, s:1, b:0),
% 129.09/129.51 'compact_space' [114, 2] (w:1, o:71, a:1, s:1, b:0),
% 129.09/129.51 f23 [116, 3] (w:1, o:111, a:1, s:1, b:0),
% 129.09/129.51 finite [117, 1] (w:1, o:45, a:1, s:1, b:0),
% 129.09/129.51 f24 [118, 2] (w:1, o:91, a:1, s:1, b:0),
% 129.09/129.51 'compact_set' [120, 3] (w:1, o:108, a:1, s:1, b:0),
% 129.09/129.51 cx [121, 0] (w:1, o:35, a:1, s:1, b:0),
% 129.09/129.51 f [122, 0] (w:1, o:36, a:1, s:1, b:0).
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Starting Search:
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Failed to find proof!
% 129.09/129.51 maxweight = 15
% 129.09/129.51 maxnrclauses = 10000000
% 129.09/129.51 Generated: 74543
% 129.09/129.51 Kept: 1373
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 The strategy used was not complete!
% 129.09/129.51
% 129.09/129.51 Increased maxweight to 16
% 129.09/129.51
% 129.09/129.51 Starting Search:
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Intermediate Status:
% 129.09/129.51 Generated: 17130
% 129.09/129.51 Kept: 2000
% 129.09/129.51 Inuse: 531
% 129.09/129.51 Deleted: 35
% 129.09/129.51 Deletedinuse: 7
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Failed to find proof!
% 129.09/129.51 maxweight = 16
% 129.09/129.51 maxnrclauses = 10000000
% 129.09/129.51 Generated: 390331
% 129.09/129.51 Kept: 2812
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 The strategy used was not complete!
% 129.09/129.51
% 129.09/129.51 Increased maxweight to 17
% 129.09/129.51
% 129.09/129.51 Starting Search:
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Intermediate Status:
% 129.09/129.51 Generated: 8530
% 129.09/129.51 Kept: 2006
% 129.09/129.51 Inuse: 402
% 129.09/129.51 Deleted: 22
% 129.09/129.51 Deletedinuse: 1
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Intermediate Status:
% 129.09/129.51 Generated: 20030
% 129.09/129.51 Kept: 4016
% 129.09/129.51 Inuse: 566
% 129.09/129.51 Deleted: 48
% 129.09/129.51 Deletedinuse: 20
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Intermediate Status:
% 129.09/129.51 Generated: 46088
% 129.09/129.51 Kept: 6034
% 129.09/129.51 Inuse: 727
% 129.09/129.51 Deleted: 86
% 129.09/129.51 Deletedinuse: 20
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Failed to find proof!
% 129.09/129.51 maxweight = 17
% 129.09/129.51 maxnrclauses = 10000000
% 129.09/129.51 Generated: 2054433
% 129.09/129.51 Kept: 7219
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 The strategy used was not complete!
% 129.09/129.51
% 129.09/129.51 Increased maxweight to 18
% 129.09/129.51
% 129.09/129.51 Starting Search:
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Intermediate Status:
% 129.09/129.51 Generated: 7153
% 129.09/129.51 Kept: 2009
% 129.09/129.51 Inuse: 378
% 129.09/129.51 Deleted: 20
% 129.09/129.51 Deletedinuse: 1
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Intermediate Status:
% 129.09/129.51 Generated: 15710
% 129.09/129.51 Kept: 4020
% 129.09/129.51 Inuse: 498
% 129.09/129.51 Deleted: 44
% 129.09/129.51 Deletedinuse: 20
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Intermediate Status:
% 129.09/129.51 Generated: 25597
% 129.09/129.51 Kept: 6020
% 129.09/129.51 Inuse: 624
% 129.09/129.51 Deleted: 56
% 129.09/129.51 Deletedinuse: 20
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51 Resimplifying inuse:
% 129.09/129.51 Done
% 129.09/129.51
% 129.09/129.51
% 129.09/129.51 Intermediate Status:
% 129.09/129.51 Generated: 42989
% 129.09/129.51 Kept: 8136
% 129.09/129.51 Inuse: 709
% 129.09/129.51 Deleted: 81
% 129.09/129.51 DeleCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------