TSTP Solution File: SEU323+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 : Theorem 0.77s 1.12s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jun 20 12:22:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.77/1.12 *** allocated 10000 integers for termspace/termends
% 0.77/1.12 *** allocated 10000 integers for clauses
% 0.77/1.12 *** allocated 10000 integers for justifications
% 0.77/1.12 Bliksem 1.12
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 Automatic Strategy Selection
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 Clauses:
% 0.77/1.12
% 0.77/1.12 { ! topological_space( X ), ! top_str( X ), ! closed_subset( Y, X ), !
% 0.77/1.12 element( Y, powerset( the_carrier( X ) ) ), open_subset(
% 0.77/1.12 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.77/1.12 { ! topological_space( X ), ! top_str( X ), element( skol1( X ), powerset(
% 0.77/1.12 the_carrier( X ) ) ) }.
% 0.77/1.12 { ! topological_space( X ), ! top_str( X ), closed_subset( skol1( X ), X )
% 0.77/1.12 }.
% 0.77/1.12 { ! element( Y, powerset( X ) ), subset_complement( X, subset_complement( X
% 0.77/1.12 , Y ) ) = Y }.
% 0.77/1.12 { subset( X, X ) }.
% 0.77/1.12 { one_sorted_str( skol2 ) }.
% 0.77/1.12 { ! element( Y, powerset( X ) ), element( subset_complement( X, Y ),
% 0.77/1.12 powerset( X ) ) }.
% 0.77/1.12 { ! top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), element(
% 0.77/1.12 topstr_closure( X, Y ), powerset( the_carrier( X ) ) ) }.
% 0.77/1.12 { && }.
% 0.77/1.12 { ! topological_space( X ), ! top_str( X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ), closed_subset( topstr_closure( X, Y ), X ) }.
% 0.77/1.12 { ! topological_space( X ), ! top_str( X ), ! open_subset( Y, X ), !
% 0.77/1.12 element( Y, powerset( the_carrier( X ) ) ), closed_subset(
% 0.77/1.12 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.77/1.12 { top_str( skol3 ) }.
% 0.77/1.12 { element( skol4( X ), X ) }.
% 0.77/1.12 { ! top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), element(
% 0.77/1.12 interior( X, Y ), powerset( the_carrier( X ) ) ) }.
% 0.77/1.12 { && }.
% 0.77/1.12 { ! top_str( X ), one_sorted_str( X ) }.
% 0.77/1.12 { && }.
% 0.77/1.12 { && }.
% 0.77/1.12 { ! topological_space( X ), ! top_str( X ), element( skol5( X ), powerset(
% 0.77/1.12 the_carrier( X ) ) ) }.
% 0.77/1.12 { ! topological_space( X ), ! top_str( X ), open_subset( skol5( X ), X ) }
% 0.77/1.12 .
% 0.77/1.12 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.77/1.12 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.77/1.12 { ! top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), interior( X
% 0.77/1.12 , Y ) = subset_complement( the_carrier( X ), topstr_closure( X,
% 0.77/1.12 subset_complement( the_carrier( X ), Y ) ) ) }.
% 0.77/1.12 { topological_space( skol6 ) }.
% 0.77/1.12 { top_str( skol6 ) }.
% 0.77/1.12 { element( skol7, powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 { ! open_subset( interior( skol6, skol7 ), skol6 ) }.
% 0.77/1.12
% 0.77/1.12 percentage equality = 0.037037, percentage horn = 1.000000
% 0.77/1.12 This is a problem with some equality
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 Options Used:
% 0.77/1.12
% 0.77/1.12 useres = 1
% 0.77/1.12 useparamod = 1
% 0.77/1.12 useeqrefl = 1
% 0.77/1.12 useeqfact = 1
% 0.77/1.12 usefactor = 1
% 0.77/1.12 usesimpsplitting = 0
% 0.77/1.12 usesimpdemod = 5
% 0.77/1.12 usesimpres = 3
% 0.77/1.12
% 0.77/1.12 resimpinuse = 1000
% 0.77/1.12 resimpclauses = 20000
% 0.77/1.12 substype = eqrewr
% 0.77/1.12 backwardsubs = 1
% 0.77/1.12 selectoldest = 5
% 0.77/1.12
% 0.77/1.12 litorderings [0] = split
% 0.77/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.12
% 0.77/1.12 termordering = kbo
% 0.77/1.12
% 0.77/1.12 litapriori = 0
% 0.77/1.12 termapriori = 1
% 0.77/1.12 litaposteriori = 0
% 0.77/1.12 termaposteriori = 0
% 0.77/1.12 demodaposteriori = 0
% 0.77/1.12 ordereqreflfact = 0
% 0.77/1.12
% 0.77/1.12 litselect = negord
% 0.77/1.12
% 0.77/1.12 maxweight = 15
% 0.77/1.12 maxdepth = 30000
% 0.77/1.12 maxlength = 115
% 0.77/1.12 maxnrvars = 195
% 0.77/1.12 excuselevel = 1
% 0.77/1.12 increasemaxweight = 1
% 0.77/1.12
% 0.77/1.12 maxselected = 10000000
% 0.77/1.12 maxnrclauses = 10000000
% 0.77/1.12
% 0.77/1.12 showgenerated = 0
% 0.77/1.12 showkept = 0
% 0.77/1.12 showselected = 0
% 0.77/1.12 showdeleted = 0
% 0.77/1.12 showresimp = 1
% 0.77/1.12 showstatus = 2000
% 0.77/1.12
% 0.77/1.12 prologoutput = 0
% 0.77/1.12 nrgoals = 5000000
% 0.77/1.12 totalproof = 1
% 0.77/1.12
% 0.77/1.12 Symbols occurring in the translation:
% 0.77/1.12
% 0.77/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.12 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.77/1.12 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.77/1.12 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.77/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.12 topological_space [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.77/1.12 top_str [38, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.77/1.12 closed_subset [39, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.77/1.12 the_carrier [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.77/1.12 powerset [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.77/1.12 element [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.77/1.12 subset_complement [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.77/1.12 open_subset [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.77/1.12 subset [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.77/1.12 one_sorted_str [46, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.77/1.12 topstr_closure [47, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.77/1.12 interior [48, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.77/1.12 skol1 [49, 1] (w:1, o:17, a:1, s:1, b:1),
% 0.77/1.12 skol2 [50, 0] (w:1, o:8, a:1, s:1, b:1),
% 0.77/1.12 skol3 [51, 0] (w:1, o:9, a:1, s:1, b:1),
% 0.77/1.12 skol4 [52, 1] (w:1, o:18, a:1, s:1, b:1),
% 0.77/1.12 skol5 [53, 1] (w:1, o:19, a:1, s:1, b:1),
% 0.77/1.12 skol6 [54, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.77/1.12 skol7 [55, 0] (w:1, o:11, a:1, s:1, b:1).
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 Starting Search:
% 0.77/1.12
% 0.77/1.12 *** allocated 15000 integers for clauses
% 0.77/1.12 *** allocated 22500 integers for clauses
% 0.77/1.12 *** allocated 33750 integers for clauses
% 0.77/1.12
% 0.77/1.12 Bliksems!, er is een bewijs:
% 0.77/1.12 % SZS status Theorem
% 0.77/1.12 % SZS output start Refutation
% 0.77/1.12
% 0.77/1.12 (0) {G0,W18,D4,L5,V2,M5} I { ! topological_space( X ), ! top_str( X ), !
% 0.77/1.12 closed_subset( Y, X ), ! element( Y, powerset( the_carrier( X ) ) ),
% 0.77/1.12 open_subset( subset_complement( the_carrier( X ), Y ), X ) }.
% 0.77/1.12 (6) {G0,W10,D3,L2,V2,M2} I { ! element( Y, powerset( X ) ), element(
% 0.77/1.12 subset_complement( X, Y ), powerset( X ) ) }.
% 0.77/1.12 (7) {G0,W14,D4,L3,V2,M3} I { ! top_str( X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ), element( topstr_closure( X, Y ), powerset(
% 0.77/1.12 the_carrier( X ) ) ) }.
% 0.77/1.12 (9) {G0,W14,D4,L4,V2,M4} I { ! topological_space( X ), ! top_str( X ), !
% 0.77/1.12 element( Y, powerset( the_carrier( X ) ) ), closed_subset( topstr_closure
% 0.77/1.12 ( X, Y ), X ) }.
% 0.77/1.12 (19) {G0,W20,D6,L3,V2,M3} I { ! top_str( X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ), subset_complement( the_carrier( X ), topstr_closure
% 0.77/1.12 ( X, subset_complement( the_carrier( X ), Y ) ) ) ==> interior( X, Y )
% 0.77/1.12 }.
% 0.77/1.12 (20) {G0,W2,D2,L1,V0,M1} I { topological_space( skol6 ) }.
% 0.77/1.12 (21) {G0,W2,D2,L1,V0,M1} I { top_str( skol6 ) }.
% 0.77/1.12 (22) {G0,W5,D4,L1,V0,M1} I { element( skol7, powerset( the_carrier( skol6 )
% 0.77/1.12 ) ) }.
% 0.77/1.12 (23) {G0,W5,D3,L1,V0,M1} I { ! open_subset( interior( skol6, skol7 ), skol6
% 0.77/1.12 ) }.
% 0.77/1.12 (25) {G1,W14,D4,L3,V1,M3} R(0,20);r(21) { ! closed_subset( X, skol6 ), !
% 0.77/1.12 element( X, powerset( the_carrier( skol6 ) ) ), open_subset(
% 0.77/1.12 subset_complement( the_carrier( skol6 ), X ), skol6 ) }.
% 0.77/1.12 (56) {G1,W8,D4,L1,V0,M1} R(6,22) { element( subset_complement( the_carrier
% 0.77/1.12 ( skol6 ), skol7 ), powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 (95) {G1,W10,D4,L2,V1,M2} R(9,20);r(21) { ! element( X, powerset(
% 0.77/1.12 the_carrier( skol6 ) ) ), closed_subset( topstr_closure( skol6, X ),
% 0.77/1.12 skol6 ) }.
% 0.77/1.12 (119) {G2,W10,D5,L1,V0,M1} R(56,7);r(21) { element( topstr_closure( skol6,
% 0.77/1.12 subset_complement( the_carrier( skol6 ), skol7 ) ), powerset( the_carrier
% 0.77/1.12 ( skol6 ) ) ) }.
% 0.77/1.12 (189) {G1,W13,D6,L1,V0,M1} R(19,22);r(21) { subset_complement( the_carrier
% 0.77/1.12 ( skol6 ), topstr_closure( skol6, subset_complement( the_carrier( skol6 )
% 0.77/1.12 , skol7 ) ) ) ==> interior( skol6, skol7 ) }.
% 0.77/1.12 (346) {G2,W8,D5,L1,V0,M1} R(95,56) { closed_subset( topstr_closure( skol6,
% 0.77/1.12 subset_complement( the_carrier( skol6 ), skol7 ) ), skol6 ) }.
% 0.77/1.12 (359) {G3,W5,D3,L1,V0,M1} R(346,25);d(189);r(119) { open_subset( interior(
% 0.77/1.12 skol6, skol7 ), skol6 ) }.
% 0.77/1.12 (360) {G4,W0,D0,L0,V0,M0} S(359);r(23) { }.
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 % SZS output end Refutation
% 0.77/1.12 found a proof!
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 Unprocessed initial clauses:
% 0.77/1.12
% 0.77/1.12 (362) {G0,W18,D4,L5,V2,M5} { ! topological_space( X ), ! top_str( X ), !
% 0.77/1.12 closed_subset( Y, X ), ! element( Y, powerset( the_carrier( X ) ) ),
% 0.77/1.12 open_subset( subset_complement( the_carrier( X ), Y ), X ) }.
% 0.77/1.12 (363) {G0,W10,D4,L3,V1,M3} { ! topological_space( X ), ! top_str( X ),
% 0.77/1.12 element( skol1( X ), powerset( the_carrier( X ) ) ) }.
% 0.77/1.12 (364) {G0,W8,D3,L3,V1,M3} { ! topological_space( X ), ! top_str( X ),
% 0.77/1.12 closed_subset( skol1( X ), X ) }.
% 0.77/1.12 (365) {G0,W11,D4,L2,V2,M2} { ! element( Y, powerset( X ) ),
% 0.77/1.12 subset_complement( X, subset_complement( X, Y ) ) = Y }.
% 0.77/1.12 (366) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.77/1.12 (367) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol2 ) }.
% 0.77/1.12 (368) {G0,W10,D3,L2,V2,M2} { ! element( Y, powerset( X ) ), element(
% 0.77/1.12 subset_complement( X, Y ), powerset( X ) ) }.
% 0.77/1.12 (369) {G0,W14,D4,L3,V2,M3} { ! top_str( X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ), element( topstr_closure( X, Y ), powerset(
% 0.77/1.12 the_carrier( X ) ) ) }.
% 0.77/1.12 (370) {G0,W1,D1,L1,V0,M1} { && }.
% 0.77/1.12 (371) {G0,W14,D4,L4,V2,M4} { ! topological_space( X ), ! top_str( X ), !
% 0.77/1.12 element( Y, powerset( the_carrier( X ) ) ), closed_subset( topstr_closure
% 0.77/1.12 ( X, Y ), X ) }.
% 0.77/1.12 (372) {G0,W18,D4,L5,V2,M5} { ! topological_space( X ), ! top_str( X ), !
% 0.77/1.12 open_subset( Y, X ), ! element( Y, powerset( the_carrier( X ) ) ),
% 0.77/1.12 closed_subset( subset_complement( the_carrier( X ), Y ), X ) }.
% 0.77/1.12 (373) {G0,W2,D2,L1,V0,M1} { top_str( skol3 ) }.
% 0.77/1.12 (374) {G0,W4,D3,L1,V1,M1} { element( skol4( X ), X ) }.
% 0.77/1.12 (375) {G0,W14,D4,L3,V2,M3} { ! top_str( X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ), element( interior( X, Y ), powerset( the_carrier( X
% 0.77/1.12 ) ) ) }.
% 0.77/1.12 (376) {G0,W1,D1,L1,V0,M1} { && }.
% 0.77/1.12 (377) {G0,W4,D2,L2,V1,M2} { ! top_str( X ), one_sorted_str( X ) }.
% 0.77/1.12 (378) {G0,W1,D1,L1,V0,M1} { && }.
% 0.77/1.12 (379) {G0,W1,D1,L1,V0,M1} { && }.
% 0.77/1.12 (380) {G0,W10,D4,L3,V1,M3} { ! topological_space( X ), ! top_str( X ),
% 0.77/1.12 element( skol5( X ), powerset( the_carrier( X ) ) ) }.
% 0.77/1.12 (381) {G0,W8,D3,L3,V1,M3} { ! topological_space( X ), ! top_str( X ),
% 0.77/1.12 open_subset( skol5( X ), X ) }.
% 0.77/1.12 (382) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y )
% 0.77/1.12 }.
% 0.77/1.12 (383) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y ) )
% 0.77/1.12 }.
% 0.77/1.12 (384) {G0,W20,D6,L3,V2,M3} { ! top_str( X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ), interior( X, Y ) = subset_complement( the_carrier(
% 0.77/1.12 X ), topstr_closure( X, subset_complement( the_carrier( X ), Y ) ) ) }.
% 0.77/1.12 (385) {G0,W2,D2,L1,V0,M1} { topological_space( skol6 ) }.
% 0.77/1.12 (386) {G0,W2,D2,L1,V0,M1} { top_str( skol6 ) }.
% 0.77/1.12 (387) {G0,W5,D4,L1,V0,M1} { element( skol7, powerset( the_carrier( skol6 )
% 0.77/1.12 ) ) }.
% 0.77/1.12 (388) {G0,W5,D3,L1,V0,M1} { ! open_subset( interior( skol6, skol7 ), skol6
% 0.77/1.12 ) }.
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 Total Proof:
% 0.77/1.12
% 0.77/1.12 subsumption: (0) {G0,W18,D4,L5,V2,M5} I { ! topological_space( X ), !
% 0.77/1.12 top_str( X ), ! closed_subset( Y, X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ), open_subset( subset_complement( the_carrier( X ), Y
% 0.77/1.12 ), X ) }.
% 0.77/1.12 parent0: (362) {G0,W18,D4,L5,V2,M5} { ! topological_space( X ), ! top_str
% 0.77/1.12 ( X ), ! closed_subset( Y, X ), ! element( Y, powerset( the_carrier( X )
% 0.77/1.12 ) ), open_subset( subset_complement( the_carrier( X ), Y ), X ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 Y := Y
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 1 ==> 1
% 0.77/1.12 2 ==> 2
% 0.77/1.12 3 ==> 3
% 0.77/1.12 4 ==> 4
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (6) {G0,W10,D3,L2,V2,M2} I { ! element( Y, powerset( X ) ),
% 0.77/1.12 element( subset_complement( X, Y ), powerset( X ) ) }.
% 0.77/1.12 parent0: (368) {G0,W10,D3,L2,V2,M2} { ! element( Y, powerset( X ) ),
% 0.77/1.12 element( subset_complement( X, Y ), powerset( X ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 Y := Y
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 1 ==> 1
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (7) {G0,W14,D4,L3,V2,M3} I { ! top_str( X ), ! element( Y,
% 0.77/1.12 powerset( the_carrier( X ) ) ), element( topstr_closure( X, Y ), powerset
% 0.77/1.12 ( the_carrier( X ) ) ) }.
% 0.77/1.12 parent0: (369) {G0,W14,D4,L3,V2,M3} { ! top_str( X ), ! element( Y,
% 0.77/1.12 powerset( the_carrier( X ) ) ), element( topstr_closure( X, Y ), powerset
% 0.77/1.12 ( the_carrier( X ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 Y := Y
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 1 ==> 1
% 0.77/1.12 2 ==> 2
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (9) {G0,W14,D4,L4,V2,M4} I { ! topological_space( X ), !
% 0.77/1.12 top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), closed_subset
% 0.77/1.12 ( topstr_closure( X, Y ), X ) }.
% 0.77/1.12 parent0: (371) {G0,W14,D4,L4,V2,M4} { ! topological_space( X ), ! top_str
% 0.77/1.12 ( X ), ! element( Y, powerset( the_carrier( X ) ) ), closed_subset(
% 0.77/1.12 topstr_closure( X, Y ), X ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 Y := Y
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 1 ==> 1
% 0.77/1.12 2 ==> 2
% 0.77/1.12 3 ==> 3
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 eqswap: (393) {G0,W20,D6,L3,V2,M3} { subset_complement( the_carrier( X ),
% 0.77/1.12 topstr_closure( X, subset_complement( the_carrier( X ), Y ) ) ) =
% 0.77/1.12 interior( X, Y ), ! top_str( X ), ! element( Y, powerset( the_carrier( X
% 0.77/1.12 ) ) ) }.
% 0.77/1.12 parent0[2]: (384) {G0,W20,D6,L3,V2,M3} { ! top_str( X ), ! element( Y,
% 0.77/1.12 powerset( the_carrier( X ) ) ), interior( X, Y ) = subset_complement(
% 0.77/1.12 the_carrier( X ), topstr_closure( X, subset_complement( the_carrier( X )
% 0.77/1.12 , Y ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 Y := Y
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (19) {G0,W20,D6,L3,V2,M3} I { ! top_str( X ), ! element( Y,
% 0.77/1.12 powerset( the_carrier( X ) ) ), subset_complement( the_carrier( X ),
% 0.77/1.12 topstr_closure( X, subset_complement( the_carrier( X ), Y ) ) ) ==>
% 0.77/1.12 interior( X, Y ) }.
% 0.77/1.12 parent0: (393) {G0,W20,D6,L3,V2,M3} { subset_complement( the_carrier( X )
% 0.77/1.12 , topstr_closure( X, subset_complement( the_carrier( X ), Y ) ) ) =
% 0.77/1.12 interior( X, Y ), ! top_str( X ), ! element( Y, powerset( the_carrier( X
% 0.77/1.12 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 Y := Y
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 2
% 0.77/1.12 1 ==> 0
% 0.77/1.12 2 ==> 1
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (20) {G0,W2,D2,L1,V0,M1} I { topological_space( skol6 ) }.
% 0.77/1.12 parent0: (385) {G0,W2,D2,L1,V0,M1} { topological_space( skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (21) {G0,W2,D2,L1,V0,M1} I { top_str( skol6 ) }.
% 0.77/1.12 parent0: (386) {G0,W2,D2,L1,V0,M1} { top_str( skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (22) {G0,W5,D4,L1,V0,M1} I { element( skol7, powerset(
% 0.77/1.12 the_carrier( skol6 ) ) ) }.
% 0.77/1.12 parent0: (387) {G0,W5,D4,L1,V0,M1} { element( skol7, powerset( the_carrier
% 0.77/1.12 ( skol6 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (23) {G0,W5,D3,L1,V0,M1} I { ! open_subset( interior( skol6,
% 0.77/1.12 skol7 ), skol6 ) }.
% 0.77/1.12 parent0: (388) {G0,W5,D3,L1,V0,M1} { ! open_subset( interior( skol6, skol7
% 0.77/1.12 ), skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (402) {G1,W16,D4,L4,V1,M4} { ! top_str( skol6 ), !
% 0.77/1.12 closed_subset( X, skol6 ), ! element( X, powerset( the_carrier( skol6 ) )
% 0.77/1.12 ), open_subset( subset_complement( the_carrier( skol6 ), X ), skol6 )
% 0.77/1.12 }.
% 0.77/1.12 parent0[0]: (0) {G0,W18,D4,L5,V2,M5} I { ! topological_space( X ), !
% 0.77/1.12 top_str( X ), ! closed_subset( Y, X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ), open_subset( subset_complement( the_carrier( X ), Y
% 0.77/1.12 ), X ) }.
% 0.77/1.12 parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { topological_space( skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := skol6
% 0.77/1.12 Y := X
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (403) {G1,W14,D4,L3,V1,M3} { ! closed_subset( X, skol6 ), !
% 0.77/1.12 element( X, powerset( the_carrier( skol6 ) ) ), open_subset(
% 0.77/1.12 subset_complement( the_carrier( skol6 ), X ), skol6 ) }.
% 0.77/1.12 parent0[0]: (402) {G1,W16,D4,L4,V1,M4} { ! top_str( skol6 ), !
% 0.77/1.12 closed_subset( X, skol6 ), ! element( X, powerset( the_carrier( skol6 ) )
% 0.77/1.12 ), open_subset( subset_complement( the_carrier( skol6 ), X ), skol6 )
% 0.77/1.12 }.
% 0.77/1.12 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { top_str( skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (25) {G1,W14,D4,L3,V1,M3} R(0,20);r(21) { ! closed_subset( X,
% 0.77/1.12 skol6 ), ! element( X, powerset( the_carrier( skol6 ) ) ), open_subset(
% 0.77/1.12 subset_complement( the_carrier( skol6 ), X ), skol6 ) }.
% 0.77/1.12 parent0: (403) {G1,W14,D4,L3,V1,M3} { ! closed_subset( X, skol6 ), !
% 0.77/1.12 element( X, powerset( the_carrier( skol6 ) ) ), open_subset(
% 0.77/1.12 subset_complement( the_carrier( skol6 ), X ), skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 1 ==> 1
% 0.77/1.12 2 ==> 2
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (404) {G1,W8,D4,L1,V0,M1} { element( subset_complement(
% 0.77/1.12 the_carrier( skol6 ), skol7 ), powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 parent0[0]: (6) {G0,W10,D3,L2,V2,M2} I { ! element( Y, powerset( X ) ),
% 0.77/1.12 element( subset_complement( X, Y ), powerset( X ) ) }.
% 0.77/1.12 parent1[0]: (22) {G0,W5,D4,L1,V0,M1} I { element( skol7, powerset(
% 0.77/1.12 the_carrier( skol6 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := the_carrier( skol6 )
% 0.77/1.12 Y := skol7
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (56) {G1,W8,D4,L1,V0,M1} R(6,22) { element( subset_complement
% 0.77/1.12 ( the_carrier( skol6 ), skol7 ), powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 parent0: (404) {G1,W8,D4,L1,V0,M1} { element( subset_complement(
% 0.77/1.12 the_carrier( skol6 ), skol7 ), powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (405) {G1,W12,D4,L3,V1,M3} { ! top_str( skol6 ), ! element( X
% 0.77/1.12 , powerset( the_carrier( skol6 ) ) ), closed_subset( topstr_closure(
% 0.77/1.12 skol6, X ), skol6 ) }.
% 0.77/1.12 parent0[0]: (9) {G0,W14,D4,L4,V2,M4} I { ! topological_space( X ), !
% 0.77/1.12 top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), closed_subset
% 0.77/1.12 ( topstr_closure( X, Y ), X ) }.
% 0.77/1.12 parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { topological_space( skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := skol6
% 0.77/1.12 Y := X
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (406) {G1,W10,D4,L2,V1,M2} { ! element( X, powerset(
% 0.77/1.12 the_carrier( skol6 ) ) ), closed_subset( topstr_closure( skol6, X ),
% 0.77/1.12 skol6 ) }.
% 0.77/1.12 parent0[0]: (405) {G1,W12,D4,L3,V1,M3} { ! top_str( skol6 ), ! element( X
% 0.77/1.12 , powerset( the_carrier( skol6 ) ) ), closed_subset( topstr_closure(
% 0.77/1.12 skol6, X ), skol6 ) }.
% 0.77/1.12 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { top_str( skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (95) {G1,W10,D4,L2,V1,M2} R(9,20);r(21) { ! element( X,
% 0.77/1.12 powerset( the_carrier( skol6 ) ) ), closed_subset( topstr_closure( skol6
% 0.77/1.12 , X ), skol6 ) }.
% 0.77/1.12 parent0: (406) {G1,W10,D4,L2,V1,M2} { ! element( X, powerset( the_carrier
% 0.77/1.12 ( skol6 ) ) ), closed_subset( topstr_closure( skol6, X ), skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 1 ==> 1
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (407) {G1,W12,D5,L2,V0,M2} { ! top_str( skol6 ), element(
% 0.77/1.12 topstr_closure( skol6, subset_complement( the_carrier( skol6 ), skol7 ) )
% 0.77/1.12 , powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 parent0[1]: (7) {G0,W14,D4,L3,V2,M3} I { ! top_str( X ), ! element( Y,
% 0.77/1.12 powerset( the_carrier( X ) ) ), element( topstr_closure( X, Y ), powerset
% 0.77/1.12 ( the_carrier( X ) ) ) }.
% 0.77/1.12 parent1[0]: (56) {G1,W8,D4,L1,V0,M1} R(6,22) { element( subset_complement(
% 0.77/1.12 the_carrier( skol6 ), skol7 ), powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := skol6
% 0.77/1.12 Y := subset_complement( the_carrier( skol6 ), skol7 )
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (408) {G1,W10,D5,L1,V0,M1} { element( topstr_closure( skol6,
% 0.77/1.12 subset_complement( the_carrier( skol6 ), skol7 ) ), powerset( the_carrier
% 0.77/1.12 ( skol6 ) ) ) }.
% 0.77/1.12 parent0[0]: (407) {G1,W12,D5,L2,V0,M2} { ! top_str( skol6 ), element(
% 0.77/1.12 topstr_closure( skol6, subset_complement( the_carrier( skol6 ), skol7 ) )
% 0.77/1.12 , powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { top_str( skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (119) {G2,W10,D5,L1,V0,M1} R(56,7);r(21) { element(
% 0.77/1.12 topstr_closure( skol6, subset_complement( the_carrier( skol6 ), skol7 ) )
% 0.77/1.12 , powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 parent0: (408) {G1,W10,D5,L1,V0,M1} { element( topstr_closure( skol6,
% 0.77/1.12 subset_complement( the_carrier( skol6 ), skol7 ) ), powerset( the_carrier
% 0.77/1.12 ( skol6 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 eqswap: (409) {G0,W20,D6,L3,V2,M3} { interior( X, Y ) ==>
% 0.77/1.12 subset_complement( the_carrier( X ), topstr_closure( X, subset_complement
% 0.77/1.12 ( the_carrier( X ), Y ) ) ), ! top_str( X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ) }.
% 0.77/1.12 parent0[2]: (19) {G0,W20,D6,L3,V2,M3} I { ! top_str( X ), ! element( Y,
% 0.77/1.12 powerset( the_carrier( X ) ) ), subset_complement( the_carrier( X ),
% 0.77/1.12 topstr_closure( X, subset_complement( the_carrier( X ), Y ) ) ) ==>
% 0.77/1.12 interior( X, Y ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := X
% 0.77/1.12 Y := Y
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (410) {G1,W15,D6,L2,V0,M2} { interior( skol6, skol7 ) ==>
% 0.77/1.12 subset_complement( the_carrier( skol6 ), topstr_closure( skol6,
% 0.77/1.12 subset_complement( the_carrier( skol6 ), skol7 ) ) ), ! top_str( skol6 )
% 0.77/1.12 }.
% 0.77/1.12 parent0[2]: (409) {G0,W20,D6,L3,V2,M3} { interior( X, Y ) ==>
% 0.77/1.12 subset_complement( the_carrier( X ), topstr_closure( X, subset_complement
% 0.77/1.12 ( the_carrier( X ), Y ) ) ), ! top_str( X ), ! element( Y, powerset(
% 0.77/1.12 the_carrier( X ) ) ) }.
% 0.77/1.12 parent1[0]: (22) {G0,W5,D4,L1,V0,M1} I { element( skol7, powerset(
% 0.77/1.12 the_carrier( skol6 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := skol6
% 0.77/1.12 Y := skol7
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (411) {G1,W13,D6,L1,V0,M1} { interior( skol6, skol7 ) ==>
% 0.77/1.12 subset_complement( the_carrier( skol6 ), topstr_closure( skol6,
% 0.77/1.12 subset_complement( the_carrier( skol6 ), skol7 ) ) ) }.
% 0.77/1.12 parent0[1]: (410) {G1,W15,D6,L2,V0,M2} { interior( skol6, skol7 ) ==>
% 0.77/1.12 subset_complement( the_carrier( skol6 ), topstr_closure( skol6,
% 0.77/1.12 subset_complement( the_carrier( skol6 ), skol7 ) ) ), ! top_str( skol6 )
% 0.77/1.12 }.
% 0.77/1.12 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { top_str( skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 eqswap: (412) {G1,W13,D6,L1,V0,M1} { subset_complement( the_carrier( skol6
% 0.77/1.12 ), topstr_closure( skol6, subset_complement( the_carrier( skol6 ), skol7
% 0.77/1.12 ) ) ) ==> interior( skol6, skol7 ) }.
% 0.77/1.12 parent0[0]: (411) {G1,W13,D6,L1,V0,M1} { interior( skol6, skol7 ) ==>
% 0.77/1.12 subset_complement( the_carrier( skol6 ), topstr_closure( skol6,
% 0.77/1.12 subset_complement( the_carrier( skol6 ), skol7 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (189) {G1,W13,D6,L1,V0,M1} R(19,22);r(21) { subset_complement
% 0.77/1.12 ( the_carrier( skol6 ), topstr_closure( skol6, subset_complement(
% 0.77/1.12 the_carrier( skol6 ), skol7 ) ) ) ==> interior( skol6, skol7 ) }.
% 0.77/1.12 parent0: (412) {G1,W13,D6,L1,V0,M1} { subset_complement( the_carrier(
% 0.77/1.12 skol6 ), topstr_closure( skol6, subset_complement( the_carrier( skol6 ),
% 0.77/1.12 skol7 ) ) ) ==> interior( skol6, skol7 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (413) {G2,W8,D5,L1,V0,M1} { closed_subset( topstr_closure(
% 0.77/1.12 skol6, subset_complement( the_carrier( skol6 ), skol7 ) ), skol6 ) }.
% 0.77/1.12 parent0[0]: (95) {G1,W10,D4,L2,V1,M2} R(9,20);r(21) { ! element( X,
% 0.77/1.12 powerset( the_carrier( skol6 ) ) ), closed_subset( topstr_closure( skol6
% 0.77/1.12 , X ), skol6 ) }.
% 0.77/1.12 parent1[0]: (56) {G1,W8,D4,L1,V0,M1} R(6,22) { element( subset_complement(
% 0.77/1.12 the_carrier( skol6 ), skol7 ), powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := subset_complement( the_carrier( skol6 ), skol7 )
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (346) {G2,W8,D5,L1,V0,M1} R(95,56) { closed_subset(
% 0.77/1.12 topstr_closure( skol6, subset_complement( the_carrier( skol6 ), skol7 ) )
% 0.77/1.12 , skol6 ) }.
% 0.77/1.12 parent0: (413) {G2,W8,D5,L1,V0,M1} { closed_subset( topstr_closure( skol6
% 0.77/1.12 , subset_complement( the_carrier( skol6 ), skol7 ) ), skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (415) {G2,W21,D6,L2,V0,M2} { ! element( topstr_closure( skol6
% 0.77/1.12 , subset_complement( the_carrier( skol6 ), skol7 ) ), powerset(
% 0.77/1.12 the_carrier( skol6 ) ) ), open_subset( subset_complement( the_carrier(
% 0.77/1.12 skol6 ), topstr_closure( skol6, subset_complement( the_carrier( skol6 ),
% 0.77/1.12 skol7 ) ) ), skol6 ) }.
% 0.77/1.12 parent0[0]: (25) {G1,W14,D4,L3,V1,M3} R(0,20);r(21) { ! closed_subset( X,
% 0.77/1.12 skol6 ), ! element( X, powerset( the_carrier( skol6 ) ) ), open_subset(
% 0.77/1.12 subset_complement( the_carrier( skol6 ), X ), skol6 ) }.
% 0.77/1.12 parent1[0]: (346) {G2,W8,D5,L1,V0,M1} R(95,56) { closed_subset(
% 0.77/1.12 topstr_closure( skol6, subset_complement( the_carrier( skol6 ), skol7 ) )
% 0.77/1.12 , skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 X := topstr_closure( skol6, subset_complement( the_carrier( skol6 ),
% 0.77/1.12 skol7 ) )
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 paramod: (416) {G2,W15,D5,L2,V0,M2} { open_subset( interior( skol6, skol7
% 0.77/1.12 ), skol6 ), ! element( topstr_closure( skol6, subset_complement(
% 0.77/1.12 the_carrier( skol6 ), skol7 ) ), powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 parent0[0]: (189) {G1,W13,D6,L1,V0,M1} R(19,22);r(21) { subset_complement(
% 0.77/1.12 the_carrier( skol6 ), topstr_closure( skol6, subset_complement(
% 0.77/1.12 the_carrier( skol6 ), skol7 ) ) ) ==> interior( skol6, skol7 ) }.
% 0.77/1.12 parent1[1; 1]: (415) {G2,W21,D6,L2,V0,M2} { ! element( topstr_closure(
% 0.77/1.12 skol6, subset_complement( the_carrier( skol6 ), skol7 ) ), powerset(
% 0.77/1.12 the_carrier( skol6 ) ) ), open_subset( subset_complement( the_carrier(
% 0.77/1.12 skol6 ), topstr_closure( skol6, subset_complement( the_carrier( skol6 ),
% 0.77/1.12 skol7 ) ) ), skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (417) {G3,W5,D3,L1,V0,M1} { open_subset( interior( skol6,
% 0.77/1.12 skol7 ), skol6 ) }.
% 0.77/1.12 parent0[1]: (416) {G2,W15,D5,L2,V0,M2} { open_subset( interior( skol6,
% 0.77/1.12 skol7 ), skol6 ), ! element( topstr_closure( skol6, subset_complement(
% 0.77/1.12 the_carrier( skol6 ), skol7 ) ), powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 parent1[0]: (119) {G2,W10,D5,L1,V0,M1} R(56,7);r(21) { element(
% 0.77/1.12 topstr_closure( skol6, subset_complement( the_carrier( skol6 ), skol7 ) )
% 0.77/1.12 , powerset( the_carrier( skol6 ) ) ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (359) {G3,W5,D3,L1,V0,M1} R(346,25);d(189);r(119) {
% 0.77/1.12 open_subset( interior( skol6, skol7 ), skol6 ) }.
% 0.77/1.12 parent0: (417) {G3,W5,D3,L1,V0,M1} { open_subset( interior( skol6, skol7 )
% 0.77/1.12 , skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 0 ==> 0
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 resolution: (418) {G1,W0,D0,L0,V0,M0} { }.
% 0.77/1.12 parent0[0]: (23) {G0,W5,D3,L1,V0,M1} I { ! open_subset( interior( skol6,
% 0.77/1.12 skol7 ), skol6 ) }.
% 0.77/1.12 parent1[0]: (359) {G3,W5,D3,L1,V0,M1} R(346,25);d(189);r(119) { open_subset
% 0.77/1.12 ( interior( skol6, skol7 ), skol6 ) }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 substitution1:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 subsumption: (360) {G4,W0,D0,L0,V0,M0} S(359);r(23) { }.
% 0.77/1.12 parent0: (418) {G1,W0,D0,L0,V0,M0} { }.
% 0.77/1.12 substitution0:
% 0.77/1.12 end
% 0.77/1.12 permutation0:
% 0.77/1.12 end
% 0.77/1.12
% 0.77/1.12 Proof check complete!
% 0.77/1.12
% 0.77/1.12 Memory use:
% 0.77/1.12
% 0.77/1.12 space for terms: 4980
% 0.77/1.12 space for clauses: 26313
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 clauses generated: 884
% 0.77/1.12 clauses kept: 361
% 0.77/1.12 clauses selected: 120
% 0.77/1.12 clauses deleted: 10
% 0.77/1.12 clauses inuse deleted: 0
% 0.77/1.12
% 0.77/1.12 subsentry: 384
% 0.77/1.12 literals s-matched: 330
% 0.77/1.12 literals matched: 330
% 0.77/1.12 full subsumption: 0
% 0.77/1.12
% 0.77/1.12 checksum: -534086472
% 0.77/1.12
% 0.77/1.12
% 0.77/1.12 Bliksem ended
%------------------------------------------------------------------------------