TSTP Solution File: SEU323-10 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : Tue Jul 19 07:12:27 EDT 2022
% Result : Unsatisfiable 0.69s 1.11s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.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 Jun 19 18:12:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.11 *** allocated 10000 integers for termspace/termends
% 0.69/1.11 *** allocated 10000 integers for clauses
% 0.69/1.11 *** allocated 10000 integers for justifications
% 0.69/1.11 Bliksem 1.12
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Automatic Strategy Selection
% 0.69/1.11
% 0.69/1.11 Clauses:
% 0.69/1.11 [
% 0.69/1.11 [ =( ifeq2( X, X, Y, Z ), Y ) ],
% 0.69/1.11 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 0.69/1.11 [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true, ifeq(
% 0.69/1.11 'closed_subset'( X, Y ), true, ifeq( 'topological_space'( Y ), true, ifeq(
% 0.69/1.11 'top_str'( Y ), true, 'open_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 Y ), X ), Y ), true ), true ), true ), true ), true ) ],
% 0.69/1.11 [ =( ifeq( 'topological_space'( X ), true, ifeq( 'top_str'( X ), true,
% 0.69/1.11 element( 'sK7_rc6_pre_topc_B'( X ), powerset( 'the_carrier'( X ) ) ),
% 0.69/1.11 true ), true ), true ) ],
% 0.69/1.11 [ =( ifeq( 'topological_space'( X ), true, ifeq( 'top_str'( X ), true,
% 0.69/1.11 'closed_subset'( 'sK7_rc6_pre_topc_B'( X ), X ), true ), true ), true ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ =( ifeq2( element( X, powerset( Y ) ), true, 'subset_complement'( Y,
% 0.69/1.11 'subset_complement'( Y, X ) ), X ), X ) ],
% 0.69/1.11 [ =( subset( X, X ), true ) ],
% 0.69/1.11 [ =( 'one_sorted_str'( 'sK6_existence_l1_struct_0_A' ), true ) ],
% 0.69/1.11 [ =( ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ), true ) ],
% 0.69/1.11 [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true, ifeq(
% 0.69/1.11 'top_str'( Y ), true, element( 'topstr_closure'( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ],
% 0.69/1.11 [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true, ifeq(
% 0.69/1.11 'topological_space'( Y ), true, ifeq( 'top_str'( Y ), true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( Y, X ), Y ), true ), true ), true ),
% 0.69/1.11 true ) ],
% 0.69/1.11 [ =( ifeq( 'open_subset'( X, Y ), true, ifeq( element( X, powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true, ifeq( 'topological_space'( Y ), true, ifeq(
% 0.69/1.11 'top_str'( Y ), true, 'closed_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 Y ), X ), Y ), true ), true ), true ), true ), true ) ],
% 0.69/1.11 [ =( 'top_str'( 'sK5_existence_l1_pre_topc_A' ), true ) ],
% 0.69/1.11 [ =( element( 'sK4_existence_m1_subset_1_B'( X ), X ), true ) ],
% 0.69/1.11 [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true, ifeq(
% 0.69/1.11 'top_str'( Y ), true, element( interior( Y, X ), powerset( 'the_carrier'(
% 0.69/1.11 Y ) ) ), true ), true ), true ) ],
% 0.69/1.11 [ =( ifeq( 'top_str'( X ), true, 'one_sorted_str'( X ), true ), true ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ =( ifeq( 'topological_space'( X ), true, ifeq( 'top_str'( X ), true,
% 0.69/1.11 'open_subset'( 'sK3_rc1_tops_1_B'( X ), X ), true ), true ), true ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ =( ifeq( 'topological_space'( X ), true, ifeq( 'top_str'( X ), true,
% 0.69/1.11 element( 'sK3_rc1_tops_1_B'( X ), powerset( 'the_carrier'( X ) ) ), true
% 0.69/1.11 ), true ), true ) ],
% 0.69/1.11 [ =( ifeq( subset( X, Y ), true, element( X, powerset( Y ) ), true ),
% 0.69/1.11 true ) ],
% 0.69/1.11 [ =( ifeq( element( X, powerset( Y ) ), true, subset( X, Y ), true ),
% 0.69/1.11 true ) ],
% 0.69/1.11 [ =( ifeq2( element( X, powerset( 'the_carrier'( Y ) ) ), true, ifeq2(
% 0.69/1.11 'top_str'( Y ), true, 'subset_complement'( 'the_carrier'( Y ),
% 0.69/1.11 'topstr_closure'( Y, 'subset_complement'( 'the_carrier'( Y ), X ) ) ),
% 0.69/1.11 interior( Y, X ) ), interior( Y, X ) ), interior( Y, X ) ) ],
% 0.69/1.11 [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ],
% 0.69/1.11 [ =( 'topological_space'( 'sK2_t51_tops_1_A' ), true ) ],
% 0.69/1.11 [ =( element( 'sK1_t51_tops_1_B', powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ],
% 0.69/1.11 [ ~( =( 'open_subset'( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B'
% 0.69/1.11 ), 'sK2_t51_tops_1_A' ), true ) ) ]
% 0.69/1.11 ] .
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.11 This is a pure equality problem
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Options Used:
% 0.69/1.11
% 0.69/1.11 useres = 1
% 0.69/1.11 useparamod = 1
% 0.69/1.11 useeqrefl = 1
% 0.69/1.11 useeqfact = 1
% 0.69/1.11 usefactor = 1
% 0.69/1.11 usesimpsplitting = 0
% 0.69/1.11 usesimpdemod = 5
% 0.69/1.11 usesimpres = 3
% 0.69/1.11
% 0.69/1.11 resimpinuse = 1000
% 0.69/1.11 resimpclauses = 20000
% 0.69/1.11 substype = eqrewr
% 0.69/1.11 backwardsubs = 1
% 0.69/1.11 selectoldest = 5
% 0.69/1.11
% 0.69/1.11 litorderings [0] = split
% 0.69/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.11
% 0.69/1.11 termordering = kbo
% 0.69/1.11
% 0.69/1.11 litapriori = 0
% 0.69/1.11 termapriori = 1
% 0.69/1.11 litaposteriori = 0
% 0.69/1.11 termaposteriori = 0
% 0.69/1.11 demodaposteriori = 0
% 0.69/1.11 ordereqreflfact = 0
% 0.69/1.11
% 0.69/1.11 litselect = negord
% 0.69/1.11
% 0.69/1.11 maxweight = 15
% 0.69/1.11 maxdepth = 30000
% 0.69/1.11 maxlength = 115
% 0.69/1.11 maxnrvars = 195
% 0.69/1.11 excuselevel = 1
% 0.69/1.11 increasemaxweight = 1
% 0.69/1.11
% 0.69/1.11 maxselected = 10000000
% 0.69/1.11 maxnrclauses = 10000000
% 0.69/1.11
% 0.69/1.11 showgenerated = 0
% 0.69/1.11 showkept = 0
% 0.69/1.11 showselected = 0
% 0.69/1.11 showdeleted = 0
% 0.69/1.11 showresimp = 1
% 0.69/1.11 showstatus = 2000
% 0.69/1.11
% 0.69/1.11 prologoutput = 1
% 0.69/1.11 nrgoals = 5000000
% 0.69/1.11 totalproof = 1
% 0.69/1.11
% 0.69/1.11 Symbols occurring in the translation:
% 0.69/1.11
% 0.69/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.11 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.69/1.11 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.69/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.11 ifeq2 [42, 4] (w:1, o:62, a:1, s:1, b:0),
% 0.69/1.11 ifeq [43, 4] (w:1, o:63, a:1, s:1, b:0),
% 0.69/1.11 'the_carrier' [44, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.69/1.11 powerset [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.69/1.11 element [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.69/1.11 true [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.69/1.11 'closed_subset' [48, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.69/1.11 'topological_space' [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.69/1.11 'top_str' [50, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.69/1.11 'subset_complement' [51, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.69/1.11 'open_subset' [52, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.69/1.11 'sK7_rc6_pre_topc_B' [53, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.11 subset [54, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.69/1.11 'sK6_existence_l1_struct_0_A' [55, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.69/1.11 'one_sorted_str' [56, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.11 'topstr_closure' [57, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.69/1.11 'sK5_existence_l1_pre_topc_A' [58, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.69/1.11 'sK4_existence_m1_subset_1_B' [59, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.69/1.11 interior [60, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.69/1.11 'sK3_rc1_tops_1_B' [61, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.11 'sK2_t51_tops_1_A' [62, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.69/1.11 'sK1_t51_tops_1_B' [63, 0] (w:1, o:7, a:1, s:1, b:0).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Starting Search:
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Bliksems!, er is een bewijs:
% 0.69/1.11 % SZS status Unsatisfiable
% 0.69/1.11 % SZS output start Refutation
% 0.69/1.11
% 0.69/1.11 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 2, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true,
% 0.69/1.11 ifeq( 'closed_subset'( X, Y ), true, ifeq( 'topological_space'( Y ), true
% 0.69/1.11 , ifeq( 'top_str'( Y ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( Y ), X ), Y ), true ), true ), true ), true ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 5, [ =( ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ), X ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 8, [ =( ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 9, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true,
% 0.69/1.11 ifeq( 'top_str'( Y ), true, element( 'topstr_closure'( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 10, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true,
% 0.69/1.11 ifeq( 'topological_space'( Y ), true, ifeq( 'top_str'( Y ), true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( Y, X ), Y ), true ), true ), true ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 14, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true,
% 0.69/1.11 ifeq( 'top_str'( Y ), true, element( interior( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 20, [ =( ifeq2( element( X, powerset( 'the_carrier'( Y ) ) ), true
% 0.69/1.11 , ifeq2( 'top_str'( Y ), true, 'subset_complement'( 'the_carrier'( Y ),
% 0.69/1.11 'topstr_closure'( Y, 'subset_complement'( 'the_carrier'( Y ), X ) ) ),
% 0.69/1.11 interior( Y, X ) ), interior( Y, X ) ), interior( Y, X ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 21, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 22, [ =( 'topological_space'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 23, [ =( element( 'sK1_t51_tops_1_B', powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 24, [ ~( =( 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 28, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 48, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 53, [ =( element( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 74, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 94, [ =( element( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B'
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 101, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 102, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' )
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 135, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' )
% 0.69/1.11 , 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 218, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 337, [ =( 'closed_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 338, [] )
% 0.69/1.11 .
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 % SZS output end Refutation
% 0.69/1.11 found a proof!
% 0.69/1.11
% 0.69/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.11
% 0.69/1.11 initialclauses(
% 0.69/1.11 [ clause( 340, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , clause( 341, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , clause( 342, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq( 'closed_subset'( X, Y ), true, ifeq( 'topological_space'( Y )
% 0.69/1.11 , true, ifeq( 'top_str'( Y ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( Y ), X ), Y ), true ), true ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 343, [ =( ifeq( 'topological_space'( X ), true, ifeq( 'top_str'(
% 0.69/1.11 X ), true, element( 'sK7_rc6_pre_topc_B'( X ), powerset( 'the_carrier'( X
% 0.69/1.11 ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 344, [ =( ifeq( 'topological_space'( X ), true, ifeq( 'top_str'(
% 0.69/1.11 X ), true, 'closed_subset'( 'sK7_rc6_pre_topc_B'( X ), X ), true ), true
% 0.69/1.11 ), true ) ] )
% 0.69/1.11 , clause( 345, [ =( ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ), X ) ] )
% 0.69/1.11 , clause( 346, [ =( subset( X, X ), true ) ] )
% 0.69/1.11 , clause( 347, [ =( 'one_sorted_str'( 'sK6_existence_l1_struct_0_A' ), true
% 0.69/1.11 ) ] )
% 0.69/1.11 , clause( 348, [ =( ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ), true ) ] )
% 0.69/1.11 , clause( 349, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq( 'top_str'( Y ), true, element( 'topstr_closure'( Y, X ),
% 0.69/1.11 powerset( 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 350, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq( 'topological_space'( Y ), true, ifeq( 'top_str'( Y ), true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( Y, X ), Y ), true ), true ), true ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 , clause( 351, [ =( ifeq( 'open_subset'( X, Y ), true, ifeq( element( X,
% 0.69/1.11 powerset( 'the_carrier'( Y ) ) ), true, ifeq( 'topological_space'( Y ),
% 0.69/1.11 true, ifeq( 'top_str'( Y ), true, 'closed_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( Y ), X ), Y ), true ), true ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 352, [ =( 'top_str'( 'sK5_existence_l1_pre_topc_A' ), true ) ] )
% 0.69/1.11 , clause( 353, [ =( element( 'sK4_existence_m1_subset_1_B'( X ), X ), true
% 0.69/1.11 ) ] )
% 0.69/1.11 , clause( 354, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq( 'top_str'( Y ), true, element( interior( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 355, [ =( ifeq( 'top_str'( X ), true, 'one_sorted_str'( X ), true
% 0.69/1.11 ), true ) ] )
% 0.69/1.11 , clause( 356, [ =( ifeq( 'topological_space'( X ), true, ifeq( 'top_str'(
% 0.69/1.11 X ), true, 'open_subset'( 'sK3_rc1_tops_1_B'( X ), X ), true ), true ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 , clause( 357, [ =( ifeq( 'topological_space'( X ), true, ifeq( 'top_str'(
% 0.69/1.11 X ), true, element( 'sK3_rc1_tops_1_B'( X ), powerset( 'the_carrier'( X )
% 0.69/1.11 ) ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 358, [ =( ifeq( subset( X, Y ), true, element( X, powerset( Y ) )
% 0.69/1.11 , true ), true ) ] )
% 0.69/1.11 , clause( 359, [ =( ifeq( element( X, powerset( Y ) ), true, subset( X, Y )
% 0.69/1.11 , true ), true ) ] )
% 0.69/1.11 , clause( 360, [ =( ifeq2( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq2( 'top_str'( Y ), true, 'subset_complement'( 'the_carrier'( Y
% 0.69/1.11 ), 'topstr_closure'( Y, 'subset_complement'( 'the_carrier'( Y ), X ) ) )
% 0.69/1.11 , interior( Y, X ) ), interior( Y, X ) ), interior( Y, X ) ) ] )
% 0.69/1.11 , clause( 361, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , clause( 362, [ =( 'topological_space'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , clause( 363, [ =( element( 'sK1_t51_tops_1_B', powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , clause( 364, [ ~( =( 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 ] ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , clause( 340, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , clause( 341, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 2, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true,
% 0.69/1.11 ifeq( 'closed_subset'( X, Y ), true, ifeq( 'topological_space'( Y ), true
% 0.69/1.11 , ifeq( 'top_str'( Y ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( Y ), X ), Y ), true ), true ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 342, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq( 'closed_subset'( X, Y ), true, ifeq( 'topological_space'( Y )
% 0.69/1.11 , true, ifeq( 'top_str'( Y ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( Y ), X ), Y ), true ), true ), true ), true ), true ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 5, [ =( ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ), X ) ] )
% 0.69/1.11 , clause( 345, [ =( ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ), X ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 8, [ =( ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ), true ) ] )
% 0.69/1.11 , clause( 348, [ =( ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ), true ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 9, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true,
% 0.69/1.11 ifeq( 'top_str'( Y ), true, element( 'topstr_closure'( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 349, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq( 'top_str'( Y ), true, element( 'topstr_closure'( Y, X ),
% 0.69/1.11 powerset( 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 10, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true,
% 0.69/1.11 ifeq( 'topological_space'( Y ), true, ifeq( 'top_str'( Y ), true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( Y, X ), Y ), true ), true ), true ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 , clause( 350, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq( 'topological_space'( Y ), true, ifeq( 'top_str'( Y ), true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( Y, X ), Y ), true ), true ), true ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 14, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true,
% 0.69/1.11 ifeq( 'top_str'( Y ), true, element( interior( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , clause( 354, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq( 'top_str'( Y ), true, element( interior( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 20, [ =( ifeq2( element( X, powerset( 'the_carrier'( Y ) ) ), true
% 0.69/1.11 , ifeq2( 'top_str'( Y ), true, 'subset_complement'( 'the_carrier'( Y ),
% 0.69/1.11 'topstr_closure'( Y, 'subset_complement'( 'the_carrier'( Y ), X ) ) ),
% 0.69/1.11 interior( Y, X ) ), interior( Y, X ) ), interior( Y, X ) ) ] )
% 0.69/1.11 , clause( 360, [ =( ifeq2( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq2( 'top_str'( Y ), true, 'subset_complement'( 'the_carrier'( Y
% 0.69/1.11 ), 'topstr_closure'( Y, 'subset_complement'( 'the_carrier'( Y ), X ) ) )
% 0.69/1.11 , interior( Y, X ) ), interior( Y, X ) ), interior( Y, X ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 21, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , clause( 361, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 22, [ =( 'topological_space'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , clause( 362, [ =( 'topological_space'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 23, [ =( element( 'sK1_t51_tops_1_B', powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , clause( 363, [ =( element( 'sK1_t51_tops_1_B', powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 24, [ ~( =( 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 , clause( 364, [ ~( =( 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 538, [ =( true, ifeq( element( X, powerset( 'the_carrier'( Y ) ) )
% 0.69/1.11 , true, ifeq( 'closed_subset'( X, Y ), true, ifeq( 'topological_space'( Y
% 0.69/1.11 ), true, ifeq( 'top_str'( Y ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( Y ), X ), Y ), true ), true ), true ), true ) ) ] )
% 0.69/1.11 , clause( 2, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true
% 0.69/1.11 , ifeq( 'closed_subset'( X, Y ), true, ifeq( 'topological_space'( Y ),
% 0.69/1.11 true, ifeq( 'top_str'( Y ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( Y ), X ), Y ), true ), true ), true ), true ), true ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 542, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, ifeq( 'topological_space'( 'sK2_t51_tops_1_A'
% 0.69/1.11 ), true, ifeq( true, true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ), true ) ) ] )
% 0.69/1.11 , clause( 21, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , 0, clause( 538, [ =( true, ifeq( element( X, powerset( 'the_carrier'( Y )
% 0.69/1.11 ) ), true, ifeq( 'closed_subset'( X, Y ), true, ifeq(
% 0.69/1.11 'topological_space'( Y ), true, ifeq( 'top_str'( Y ), true, 'open_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( Y ), X ), Y ), true ), true ), true )
% 0.69/1.11 , true ) ) ] )
% 0.69/1.11 , 0, 19, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.69/1.11 'sK2_t51_tops_1_A' )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 543, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, ifeq( true, true, ifeq( true, true,
% 0.69/1.11 'open_subset'( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 X ), 'sK2_t51_tops_1_A' ), true ), true ), true ), true ) ) ] )
% 0.69/1.11 , clause( 22, [ =( 'topological_space'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , 0, clause( 542, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, ifeq( 'topological_space'( 'sK2_t51_tops_1_A'
% 0.69/1.11 ), true, ifeq( true, true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ), true ) ) ] )
% 0.69/1.11 , 0, 15, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 544, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, ifeq( true, true, 'open_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), X ),
% 0.69/1.11 'sK2_t51_tops_1_A' ), true ), true ), true ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 543, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, ifeq( true, true, ifeq( true, true,
% 0.69/1.11 'open_subset'( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 X ), 'sK2_t51_tops_1_A' ), true ), true ), true ), true ) ) ] )
% 0.69/1.11 , 0, 14, substitution( 0, [ :=( X, true ), :=( Y, ifeq( true, true,
% 0.69/1.11 'open_subset'( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 X ), 'sK2_t51_tops_1_A' ), true ) ), :=( Z, true )] ), substitution( 1, [
% 0.69/1.11 :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 546, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 544, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, ifeq( true, true, 'open_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), X ),
% 0.69/1.11 'sK2_t51_tops_1_A' ), true ), true ), true ) ) ] )
% 0.69/1.11 , 0, 14, substitution( 0, [ :=( X, true ), :=( Y, 'open_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), X ),
% 0.69/1.11 'sK2_t51_tops_1_A' ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 547, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ) ] )
% 0.69/1.11 , clause( 546, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 28, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ) ] )
% 0.69/1.11 , clause( 547, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 549, [ =( true, ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ) ) ] )
% 0.69/1.11 , clause( 8, [ =( ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ), true ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 551, [ =( true, ifeq( true, true, element( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , clause( 23, [ =( element( 'sK1_t51_tops_1_B', powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , 0, clause( 549, [ =( true, ifeq( element( X, powerset( Y ) ), true,
% 0.69/1.11 element( 'subset_complement'( Y, X ), powerset( Y ) ), true ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sK1_t51_tops_1_B'
% 0.69/1.11 ), :=( Y, 'the_carrier'( 'sK2_t51_tops_1_A' ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 552, [ =( true, element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 551, [ =( true, ifeq( true, true, element( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, element(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ) )
% 0.69/1.11 , :=( Z, true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 553, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , clause( 552, [ =( true, element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 48, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , clause( 553, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 555, [ =( true, ifeq( element( X, powerset( 'the_carrier'( Y ) ) )
% 0.69/1.11 , true, ifeq( 'top_str'( Y ), true, element( 'topstr_closure'( Y, X ),
% 0.69/1.11 powerset( 'the_carrier'( Y ) ) ), true ), true ) ) ] )
% 0.69/1.11 , clause( 9, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true
% 0.69/1.11 , ifeq( 'top_str'( Y ), true, element( 'topstr_closure'( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 559, [ =( true, ifeq( true, true, ifeq( 'top_str'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, element( 'topstr_closure'( 'sK2_t51_tops_1_A'
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ), true ) ) ] )
% 0.69/1.11 , clause( 48, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , 0, clause( 555, [ =( true, ifeq( element( X, powerset( 'the_carrier'( Y )
% 0.69/1.11 ) ), true, ifeq( 'top_str'( Y ), true, element( 'topstr_closure'( Y, X )
% 0.69/1.11 , powerset( 'the_carrier'( Y ) ) ), true ), true ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), :=( Y, 'sK2_t51_tops_1_A' )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 560, [ =( true, ifeq( 'top_str'( 'sK2_t51_tops_1_A' ), true,
% 0.69/1.11 element( 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ), powerset(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 559, [ =( true, ifeq( true, true, ifeq( 'top_str'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, element( 'topstr_closure'( 'sK2_t51_tops_1_A'
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ), true ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'top_str'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, element( 'topstr_closure'( 'sK2_t51_tops_1_A'
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 561, [ =( true, ifeq( true, true, element( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , clause( 21, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , 0, clause( 560, [ =( true, ifeq( 'top_str'( 'sK2_t51_tops_1_A' ), true,
% 0.69/1.11 element( 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ), powerset(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 562, [ =( true, element( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 561, [ =( true, ifeq( true, true, element( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, element( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 563, [ =( element( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ) ] )
% 0.69/1.11 , clause( 562, [ =( true, element( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 53, [ =( element( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ) ] )
% 0.69/1.11 , clause( 563, [ =( element( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 565, [ =( true, ifeq( element( X, powerset( 'the_carrier'( Y ) ) )
% 0.69/1.11 , true, ifeq( 'topological_space'( Y ), true, ifeq( 'top_str'( Y ), true
% 0.69/1.11 , 'closed_subset'( 'topstr_closure'( Y, X ), Y ), true ), true ), true )
% 0.69/1.11 ) ] )
% 0.69/1.11 , clause( 10, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true
% 0.69/1.11 , ifeq( 'topological_space'( Y ), true, ifeq( 'top_str'( Y ), true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( Y, X ), Y ), true ), true ), true ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 569, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'topological_space'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, ifeq( true, true, 'closed_subset'(
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ) ) ] )
% 0.69/1.11 , clause( 21, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , 0, clause( 565, [ =( true, ifeq( element( X, powerset( 'the_carrier'( Y )
% 0.69/1.11 ) ), true, ifeq( 'topological_space'( Y ), true, ifeq( 'top_str'( Y ),
% 0.69/1.11 true, 'closed_subset'( 'topstr_closure'( Y, X ), Y ), true ), true ),
% 0.69/1.11 true ) ) ] )
% 0.69/1.11 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.69/1.11 'sK2_t51_tops_1_A' )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 570, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( true, true, ifeq( true, true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( 'sK2_t51_tops_1_A', X ),
% 0.69/1.11 'sK2_t51_tops_1_A' ), true ), true ), true ) ) ] )
% 0.69/1.11 , clause( 22, [ =( 'topological_space'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , 0, clause( 569, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'topological_space'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, ifeq( true, true, 'closed_subset'(
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ) ) ] )
% 0.69/1.11 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 571, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( true, true, 'closed_subset'(
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 570, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( true, true, ifeq( true, true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( 'sK2_t51_tops_1_A', X ),
% 0.69/1.11 'sK2_t51_tops_1_A' ), true ), true ), true ) ) ] )
% 0.69/1.11 , 0, 9, substitution( 0, [ :=( X, true ), :=( Y, ifeq( true, true,
% 0.69/1.11 'closed_subset'( 'topstr_closure'( 'sK2_t51_tops_1_A', X ),
% 0.69/1.11 'sK2_t51_tops_1_A' ), true ) ), :=( Z, true )] ), substitution( 1, [ :=(
% 0.69/1.11 X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 573, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 571, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( true, true, 'closed_subset'(
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ) ) ] )
% 0.69/1.11 , 0, 9, substitution( 0, [ :=( X, true ), :=( Y, 'closed_subset'(
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ) ), :=( Z
% 0.69/1.11 , true )] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 574, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ), true ) ] )
% 0.69/1.11 , clause( 573, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 74, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ), true ) ] )
% 0.69/1.11 , clause( 574, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ), true ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 576, [ =( true, ifeq( element( X, powerset( 'the_carrier'( Y ) ) )
% 0.69/1.11 , true, ifeq( 'top_str'( Y ), true, element( interior( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ) ) ] )
% 0.69/1.11 , clause( 14, [ =( ifeq( element( X, powerset( 'the_carrier'( Y ) ) ), true
% 0.69/1.11 , ifeq( 'top_str'( Y ), true, element( interior( Y, X ), powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true ), true ), true ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 580, [ =( true, ifeq( true, true, ifeq( 'top_str'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, element( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ),
% 0.69/1.11 true ), true ) ) ] )
% 0.69/1.11 , clause( 23, [ =( element( 'sK1_t51_tops_1_B', powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , 0, clause( 576, [ =( true, ifeq( element( X, powerset( 'the_carrier'( Y )
% 0.69/1.11 ) ), true, ifeq( 'top_str'( Y ), true, element( interior( Y, X ),
% 0.69/1.11 powerset( 'the_carrier'( Y ) ) ), true ), true ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'sK1_t51_tops_1_B'
% 0.69/1.11 ), :=( Y, 'sK2_t51_tops_1_A' )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 581, [ =( true, ifeq( 'top_str'( 'sK2_t51_tops_1_A' ), true,
% 0.69/1.11 element( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), powerset(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 580, [ =( true, ifeq( true, true, ifeq( 'top_str'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, element( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ),
% 0.69/1.11 true ), true ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'top_str'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, element( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ),
% 0.69/1.11 true ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 582, [ =( true, ifeq( true, true, element( interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , clause( 21, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , 0, clause( 581, [ =( true, ifeq( 'top_str'( 'sK2_t51_tops_1_A' ), true,
% 0.69/1.11 element( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), powerset(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 583, [ =( true, element( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ) )
% 0.69/1.11 ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 582, [ =( true, ifeq( true, true, element( interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, element( interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 584, [ =( element( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B'
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , clause( 583, [ =( true, element( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ) )
% 0.69/1.11 ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 94, [ =( element( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B'
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , clause( 584, [ =( element( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 586, [ =( true, ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ) ) ] )
% 0.69/1.11 , clause( 8, [ =( ifeq( element( X, powerset( Y ) ), true, element(
% 0.69/1.11 'subset_complement'( Y, X ), powerset( Y ) ), true ), true ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 588, [ =( true, ifeq( true, true, element( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ) ) ] )
% 0.69/1.11 , clause( 94, [ =( element( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 , 0, clause( 586, [ =( true, ifeq( element( X, powerset( Y ) ), true,
% 0.69/1.11 element( 'subset_complement'( Y, X ), powerset( Y ) ), true ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), :=( Y, 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 589, [ =( true, element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 588, [ =( true, ifeq( true, true, element( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, element(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 590, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , clause( 589, [ =( true, element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 101, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , clause( 590, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 592, [ =( X, ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ) ) ] )
% 0.69/1.11 , clause( 5, [ =( ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ), X ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 594, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), ifeq2(
% 0.69/1.11 true, true, 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , clause( 94, [ =( element( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ),
% 0.69/1.11 true ) ] )
% 0.69/1.11 , 0, clause( 592, [ =( X, ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), :=( Y, 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 595, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ) ] )
% 0.69/1.11 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 594, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ),
% 0.69/1.11 ifeq2( true, true, 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A'
% 0.69/1.11 ), 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , 0, 4, substitution( 0, [ :=( X, true ), :=( Y, 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ) ) ), :=( Z, interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) )] ),
% 0.69/1.11 substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 596, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' )
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 , clause( 595, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 102, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' )
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 , clause( 596, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A'
% 0.69/1.11 ), 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 598, [ =( interior( Y, X ), ifeq2( element( X, powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true, ifeq2( 'top_str'( Y ), true,
% 0.69/1.11 'subset_complement'( 'the_carrier'( Y ), 'topstr_closure'( Y,
% 0.69/1.11 'subset_complement'( 'the_carrier'( Y ), X ) ) ), interior( Y, X ) ),
% 0.69/1.11 interior( Y, X ) ) ) ] )
% 0.69/1.11 , clause( 20, [ =( ifeq2( element( X, powerset( 'the_carrier'( Y ) ) ),
% 0.69/1.11 true, ifeq2( 'top_str'( Y ), true, 'subset_complement'( 'the_carrier'( Y
% 0.69/1.11 ), 'topstr_closure'( Y, 'subset_complement'( 'the_carrier'( Y ), X ) ) )
% 0.69/1.11 , interior( Y, X ) ), interior( Y, X ) ), interior( Y, X ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 602, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), ifeq2(
% 0.69/1.11 true, true, ifeq2( 'top_str'( 'sK2_t51_tops_1_A' ), true,
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), interior( 'sK2_t51_tops_1_A'
% 0.69/1.11 , 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , clause( 23, [ =( element( 'sK1_t51_tops_1_B', powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , 0, clause( 598, [ =( interior( Y, X ), ifeq2( element( X, powerset(
% 0.69/1.11 'the_carrier'( Y ) ) ), true, ifeq2( 'top_str'( Y ), true,
% 0.69/1.11 'subset_complement'( 'the_carrier'( Y ), 'topstr_closure'( Y,
% 0.69/1.11 'subset_complement'( 'the_carrier'( Y ), X ) ) ), interior( Y, X ) ),
% 0.69/1.11 interior( Y, X ) ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, 'sK1_t51_tops_1_B'
% 0.69/1.11 ), :=( Y, 'sK2_t51_tops_1_A' )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 603, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), ifeq2(
% 0.69/1.11 'top_str'( 'sK2_t51_tops_1_A' ), true, 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ), interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 602, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ),
% 0.69/1.11 ifeq2( true, true, ifeq2( 'top_str'( 'sK2_t51_tops_1_A' ), true,
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), interior( 'sK2_t51_tops_1_A'
% 0.69/1.11 , 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , 0, 4, substitution( 0, [ :=( X, true ), :=( Y, ifeq2( 'top_str'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ), interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ), :=( Z, interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 604, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ), ifeq2(
% 0.69/1.11 true, true, 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , clause( 21, [ =( 'top_str'( 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , 0, clause( 603, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ),
% 0.69/1.11 ifeq2( 'top_str'( 'sK2_t51_tops_1_A' ), true, 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'topstr_closure'( 'sK2_t51_tops_1_A'
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ), interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 605, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ) ) ] )
% 0.69/1.11 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 604, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ),
% 0.69/1.11 ifeq2( true, true, 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A'
% 0.69/1.11 ), 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , 0, 4, substitution( 0, [ :=( X, true ), :=( Y, 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'topstr_closure'( 'sK2_t51_tops_1_A'
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ) ), :=( Z, interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 606, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' )
% 0.69/1.11 , 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 , clause( 605, [ =( interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 135, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' )
% 0.69/1.11 , 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 , clause( 606, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A'
% 0.69/1.11 ), 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 608, [ =( X, ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ) ) ] )
% 0.69/1.11 , clause( 5, [ =( ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ), X ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 611, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ), ifeq2( true
% 0.69/1.11 , true, 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ) ), 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ) ) ] )
% 0.69/1.11 , clause( 53, [ =( element( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true ) ] )
% 0.69/1.11 , 0, clause( 608, [ =( X, ifeq2( element( X, powerset( Y ) ), true,
% 0.69/1.11 'subset_complement'( Y, 'subset_complement'( Y, X ) ), X ) ) ] )
% 0.69/1.11 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), :=( Y, 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 612, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ) ) ) ] )
% 0.69/1.11 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 611, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), ifeq2( true, true, 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ) ), 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ) ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [ :=( X, true ), :=( Y, 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ) ) ), :=( Z, 'topstr_closure'( 'sK2_t51_tops_1_A'
% 0.69/1.11 , 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 613, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , clause( 135, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A'
% 0.69/1.11 ), 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 , 0, clause( 612, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ) ) ) ) ] )
% 0.69/1.11 , 0, 10, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 218, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A', 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ) ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ) ] )
% 0.69/1.11 , clause( 613, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 616, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 , clause( 74, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ), true ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 619, [ =( true, ifeq( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 , clause( 218, [ =( 'topstr_closure'( 'sK2_t51_tops_1_A',
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , 0, clause( 616, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'( 'topstr_closure'(
% 0.69/1.11 'sK2_t51_tops_1_A', X ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'sK1_t51_tops_1_B' ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 620, [ =( true, ifeq( true, true, 'closed_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), 'sK2_t51_tops_1_A' ), true )
% 0.69/1.11 ) ] )
% 0.69/1.11 , clause( 48, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , 0, clause( 619, [ =( true, ifeq( element( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'sK1_t51_tops_1_B' ), powerset(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true, 'closed_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), 'sK2_t51_tops_1_A' ), true )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 621, [ =( true, 'closed_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), 'sK2_t51_tops_1_A' ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 620, [ =( true, ifeq( true, true, 'closed_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), 'sK2_t51_tops_1_A' ), true )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'closed_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ), 'sK2_t51_tops_1_A' ) ), :=( Z
% 0.69/1.11 , true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 622, [ =( 'closed_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , clause( 621, [ =( true, 'closed_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), 'sK2_t51_tops_1_A' ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 337, [ =( 'closed_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , clause( 622, [ =( 'closed_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 624, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ) ) ] )
% 0.69/1.11 , clause( 28, [ =( ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ), true ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 629, [ ~( =( true, 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ) ) ) ] )
% 0.69/1.11 , clause( 24, [ ~( =( 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ), true ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 630, [ =( true, ifeq( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true, ifeq( true,
% 0.69/1.11 true, 'open_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ) ), 'sK2_t51_tops_1_A' ), true ), true ) ) ] )
% 0.69/1.11 , clause( 337, [ =( 'closed_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), 'sK2_t51_tops_1_A' ), true ) ] )
% 0.69/1.11 , 0, clause( 624, [ =( true, ifeq( element( X, powerset( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ) ) ), true, ifeq( 'closed_subset'( X,
% 0.69/1.11 'sK2_t51_tops_1_A' ), true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), X ), 'sK2_t51_tops_1_A' ), true ),
% 0.69/1.11 true ) ) ] )
% 0.69/1.11 , 0, 15, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 631, [ =( true, ifeq( true, true, ifeq( true, true, 'open_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), 'sK2_t51_tops_1_A' ), true
% 0.69/1.11 ), true ) ) ] )
% 0.69/1.11 , clause( 101, [ =( element( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) ), true ) ] )
% 0.69/1.11 , 0, clause( 630, [ =( true, ifeq( element( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ) ), powerset( 'the_carrier'( 'sK2_t51_tops_1_A' ) ) )
% 0.69/1.11 , true, ifeq( true, true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ) ), 'sK2_t51_tops_1_A' ), true ), true ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 632, [ =( true, ifeq( true, true, 'open_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), 'sK2_t51_tops_1_A' ), true
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 631, [ =( true, ifeq( true, true, ifeq( true, true,
% 0.69/1.11 'open_subset'( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), 'sK2_t51_tops_1_A' ), true
% 0.69/1.11 ), true ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( true, true,
% 0.69/1.11 'open_subset'( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), 'sK2_t51_tops_1_A' ), true
% 0.69/1.11 ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 634, [ =( true, 'open_subset'( 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ) ), 'sK2_t51_tops_1_A' ) ) ] )
% 0.69/1.11 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.69/1.11 , 0, clause( 632, [ =( true, ifeq( true, true, 'open_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), 'sK2_t51_tops_1_A' ), true
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'open_subset'(
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ),
% 0.69/1.11 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), 'sK2_t51_tops_1_A' ) ),
% 0.69/1.11 :=( Z, true )] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 635, [ =( true, 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ) ) ] )
% 0.69/1.11 , clause( 102, [ =( 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A'
% 0.69/1.11 ), 'subset_complement'( 'the_carrier'( 'sK2_t51_tops_1_A' ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ), interior(
% 0.69/1.11 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' ) ) ] )
% 0.69/1.11 , 0, clause( 634, [ =( true, 'open_subset'( 'subset_complement'(
% 0.69/1.11 'the_carrier'( 'sK2_t51_tops_1_A' ), 'subset_complement'( 'the_carrier'(
% 0.69/1.11 'sK2_t51_tops_1_A' ), interior( 'sK2_t51_tops_1_A', 'sK1_t51_tops_1_B' )
% 0.69/1.11 ) ), 'sK2_t51_tops_1_A' ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 636, [] )
% 0.69/1.11 , clause( 629, [ ~( =( true, 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ) ) ) ] )
% 0.69/1.11 , 0, clause( 635, [ =( true, 'open_subset'( interior( 'sK2_t51_tops_1_A',
% 0.69/1.11 'sK1_t51_tops_1_B' ), 'sK2_t51_tops_1_A' ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 338, [] )
% 0.69/1.11 , clause( 636, [] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 end.
% 0.69/1.11
% 0.69/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.11
% 0.69/1.11 Memory use:
% 0.69/1.11
% 0.69/1.11 space for terms: 5179
% 0.69/1.11 space for clauses: 41527
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 clauses generated: 1322
% 0.69/1.11 clauses kept: 339
% 0.69/1.11 clauses selected: 177
% 0.69/1.11 clauses deleted: 6
% 0.69/1.11 clauses inuse deleted: 0
% 0.69/1.11
% 0.69/1.11 subsentry: 1215
% 0.69/1.11 literals s-matched: 578
% 0.69/1.11 literals matched: 578
% 0.69/1.11 full subsumption: 0
% 0.69/1.11
% 0.69/1.11 checksum: 2056149902
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Bliksem ended
%------------------------------------------------------------------------------