TSTP Solution File: SEU341+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:12:35 EDT 2022
% Result : Theorem 2.97s 3.37s
% Output : Refutation 2.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n014.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 : Sun Jun 19 10:42:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.47/1.12 *** allocated 10000 integers for termspace/termends
% 0.47/1.12 *** allocated 10000 integers for clauses
% 0.47/1.12 *** allocated 10000 integers for justifications
% 0.47/1.12 Bliksem 1.12
% 0.47/1.12
% 0.47/1.12
% 0.47/1.12 Automatic Strategy Selection
% 0.47/1.12
% 0.47/1.12
% 0.47/1.12 Clauses:
% 0.47/1.12
% 0.47/1.12 { ! in( X, Y ), ! in( Y, X ) }.
% 0.47/1.12 { ! v1_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.47/1.12 { ! v2_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.47/1.12 { ! v2_membered( X ), ! element( Y, X ), v1_xreal_0( Y ) }.
% 0.47/1.12 { ! v3_membered( X ), ! element( Y, X ), v1_xcmplx_0( Y ) }.
% 0.47/1.12 { ! v3_membered( X ), ! element( Y, X ), v1_xreal_0( Y ) }.
% 0.47/1.12 { ! v3_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.47/1.12 { ! v4_membered( X ), ! element( Y, X ), alpha1( Y ) }.
% 0.47/1.12 { ! v4_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.47/1.12 { ! alpha1( X ), v1_xcmplx_0( X ) }.
% 0.47/1.12 { ! alpha1( X ), v1_xreal_0( X ) }.
% 0.47/1.12 { ! alpha1( X ), v1_int_1( X ) }.
% 0.47/1.12 { ! v1_xcmplx_0( X ), ! v1_xreal_0( X ), ! v1_int_1( X ), alpha1( X ) }.
% 0.47/1.12 { ! v5_membered( X ), ! element( Y, X ), alpha2( Y ) }.
% 0.47/1.12 { ! v5_membered( X ), ! element( Y, X ), v1_rat_1( Y ) }.
% 0.47/1.12 { ! alpha2( X ), alpha6( X ) }.
% 0.47/1.12 { ! alpha2( X ), v1_int_1( X ) }.
% 0.47/1.12 { ! alpha6( X ), ! v1_int_1( X ), alpha2( X ) }.
% 0.47/1.12 { ! alpha6( X ), v1_xcmplx_0( X ) }.
% 0.47/1.12 { ! alpha6( X ), natural( X ) }.
% 0.47/1.12 { ! alpha6( X ), v1_xreal_0( X ) }.
% 0.47/1.12 { ! v1_xcmplx_0( X ), ! natural( X ), ! v1_xreal_0( X ), alpha6( X ) }.
% 0.47/1.12 { ! empty( X ), alpha3( X ) }.
% 0.47/1.12 { ! empty( X ), v5_membered( X ) }.
% 0.47/1.12 { ! alpha3( X ), alpha7( X ) }.
% 0.47/1.12 { ! alpha3( X ), v4_membered( X ) }.
% 0.47/1.12 { ! alpha7( X ), ! v4_membered( X ), alpha3( X ) }.
% 0.47/1.12 { ! alpha7( X ), v1_membered( X ) }.
% 0.47/1.12 { ! alpha7( X ), v2_membered( X ) }.
% 0.47/1.12 { ! alpha7( X ), v3_membered( X ) }.
% 0.47/1.12 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha7( X ) }
% 0.47/1.12 .
% 0.47/1.12 { ! v1_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.47/1.12 { ! v2_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.47/1.12 { ! v2_membered( X ), ! element( Y, powerset( X ) ), v2_membered( Y ) }.
% 0.47/1.12 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v1_membered( Y ) }.
% 0.47/1.12 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v2_membered( Y ) }.
% 0.47/1.12 { ! v3_membered( X ), ! element( Y, powerset( X ) ), v3_membered( Y ) }.
% 0.47/1.12 { ! v4_membered( X ), ! element( Y, powerset( X ) ), alpha4( Y ) }.
% 0.47/1.12 { ! v4_membered( X ), ! element( Y, powerset( X ) ), v4_membered( Y ) }.
% 0.47/1.12 { ! alpha4( X ), v1_membered( X ) }.
% 0.47/1.12 { ! alpha4( X ), v2_membered( X ) }.
% 0.47/1.12 { ! alpha4( X ), v3_membered( X ) }.
% 0.47/1.12 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha4( X ) }
% 0.47/1.12 .
% 0.47/1.12 { ! v5_membered( X ), v4_membered( X ) }.
% 0.47/1.12 { ! v5_membered( X ), ! element( Y, powerset( X ) ), alpha5( Y ) }.
% 0.47/1.12 { ! v5_membered( X ), ! element( Y, powerset( X ) ), v5_membered( Y ) }.
% 0.47/1.12 { ! alpha5( X ), alpha8( X ) }.
% 0.47/1.12 { ! alpha5( X ), v4_membered( X ) }.
% 0.47/1.12 { ! alpha8( X ), ! v4_membered( X ), alpha5( X ) }.
% 0.47/1.12 { ! alpha8( X ), v1_membered( X ) }.
% 0.47/1.12 { ! alpha8( X ), v2_membered( X ) }.
% 0.47/1.12 { ! alpha8( X ), v3_membered( X ) }.
% 0.47/1.12 { ! v1_membered( X ), ! v2_membered( X ), ! v3_membered( X ), alpha8( X ) }
% 0.47/1.12 .
% 0.47/1.12 { ! v4_membered( X ), v3_membered( X ) }.
% 0.47/1.12 { ! v3_membered( X ), v2_membered( X ) }.
% 0.47/1.12 { ! v2_membered( X ), v1_membered( X ) }.
% 0.47/1.12 { empty_carrier( X ), ! topological_space( X ), ! top_str( X ), ! element(
% 0.47/1.12 Y, the_carrier( X ) ), ! element( Z, powerset( the_carrier( X ) ) ), !
% 0.47/1.12 point_neighbourhood( Z, X, Y ), in( Y, interior( X, Z ) ) }.
% 0.47/1.12 { empty_carrier( X ), ! topological_space( X ), ! top_str( X ), ! element(
% 0.47/1.12 Y, the_carrier( X ) ), ! element( Z, powerset( the_carrier( X ) ) ), ! in
% 0.47/1.12 ( Y, interior( X, Z ) ), point_neighbourhood( Z, X, Y ) }.
% 0.47/1.12 { ! top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), element(
% 0.47/1.12 interior( X, Y ), powerset( the_carrier( X ) ) ) }.
% 0.47/1.12 { && }.
% 0.47/1.12 { && }.
% 0.47/1.12 { ! top_str( X ), one_sorted_str( X ) }.
% 0.47/1.12 { && }.
% 0.47/1.12 { empty_carrier( X ), ! topological_space( X ), ! top_str( X ), ! element(
% 0.47/1.12 Y, the_carrier( X ) ), ! point_neighbourhood( Z, X, Y ), element( Z,
% 0.47/1.12 powerset( the_carrier( X ) ) ) }.
% 0.47/1.12 { && }.
% 0.47/1.12 { && }.
% 0.47/1.12 { top_str( skol1 ) }.
% 0.47/1.12 { one_sorted_str( skol2 ) }.
% 0.47/1.12 { empty_carrier( X ), ! topological_space( X ), ! top_str( X ), ! element(
% 0.47/1.12 Y, the_carrier( X ) ), point_neighbourhood( skol3( X, Y ), X, Y ) }.
% 0.47/1.12 { element( skol4( X ), X ) }.
% 2.97/3.37 { ! empty( powerset( X ) ) }.
% 2.97/3.37 { empty( empty_set ) }.
% 2.97/3.37 { v1_membered( empty_set ) }.
% 2.97/3.37 { v2_membered( empty_set ) }.
% 2.97/3.37 { v3_membered( empty_set ) }.
% 2.97/3.37 { v4_membered( empty_set ) }.
% 2.97/3.37 { v5_membered( empty_set ) }.
% 2.97/3.37 { ! empty( skol5 ) }.
% 2.97/3.37 { v1_membered( skol5 ) }.
% 2.97/3.37 { v2_membered( skol5 ) }.
% 2.97/3.37 { v3_membered( skol5 ) }.
% 2.97/3.37 { v4_membered( skol5 ) }.
% 2.97/3.37 { v5_membered( skol5 ) }.
% 2.97/3.37 { empty( X ), ! empty( skol6( Y ) ) }.
% 2.97/3.37 { empty( X ), element( skol6( X ), powerset( X ) ) }.
% 2.97/3.37 { empty( skol7( Y ) ) }.
% 2.97/3.37 { element( skol7( X ), powerset( X ) ) }.
% 2.97/3.37 { subset( X, X ) }.
% 2.97/3.37 { ! in( X, Y ), element( X, Y ) }.
% 2.97/3.37 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 2.97/3.37 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 2.97/3.37 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 2.97/3.37 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 2.97/3.37 { ! topological_space( X ), ! top_str( X ), ! top_str( Y ), ! element( Z,
% 2.97/3.37 powerset( the_carrier( X ) ) ), ! element( T, powerset( the_carrier( Y )
% 2.97/3.37 ) ), ! open_subset( T, Y ), interior( Y, T ) = T }.
% 2.97/3.37 { ! topological_space( X ), ! top_str( X ), ! top_str( Y ), ! element( Z,
% 2.97/3.37 powerset( the_carrier( X ) ) ), ! element( T, powerset( the_carrier( Y )
% 2.97/3.37 ) ), ! interior( X, Z ) = Z, open_subset( Z, X ) }.
% 2.97/3.37 { ! empty_carrier( skol8 ) }.
% 2.97/3.37 { topological_space( skol8 ) }.
% 2.97/3.37 { top_str( skol8 ) }.
% 2.97/3.37 { element( skol9, powerset( the_carrier( skol8 ) ) ) }.
% 2.97/3.37 { element( skol10, the_carrier( skol8 ) ) }.
% 2.97/3.37 { open_subset( skol9, skol8 ) }.
% 2.97/3.37 { in( skol10, skol9 ) }.
% 2.97/3.37 { ! point_neighbourhood( skol9, skol8, skol10 ) }.
% 2.97/3.37 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 2.97/3.37 { ! empty( X ), X = empty_set }.
% 2.97/3.37 { ! in( X, Y ), ! empty( Y ) }.
% 2.97/3.37 { ! empty( X ), X = Y, ! empty( Y ) }.
% 2.97/3.37
% 2.97/3.37 percentage equality = 0.016461, percentage horn = 0.941748
% 2.97/3.37 This is a problem with some equality
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Options Used:
% 2.97/3.37
% 2.97/3.37 useres = 1
% 2.97/3.37 useparamod = 1
% 2.97/3.37 useeqrefl = 1
% 2.97/3.37 useeqfact = 1
% 2.97/3.37 usefactor = 1
% 2.97/3.37 usesimpsplitting = 0
% 2.97/3.37 usesimpdemod = 5
% 2.97/3.37 usesimpres = 3
% 2.97/3.37
% 2.97/3.37 resimpinuse = 1000
% 2.97/3.37 resimpclauses = 20000
% 2.97/3.37 substype = eqrewr
% 2.97/3.37 backwardsubs = 1
% 2.97/3.37 selectoldest = 5
% 2.97/3.37
% 2.97/3.37 litorderings [0] = split
% 2.97/3.37 litorderings [1] = extend the termordering, first sorting on arguments
% 2.97/3.37
% 2.97/3.37 termordering = kbo
% 2.97/3.37
% 2.97/3.37 litapriori = 0
% 2.97/3.37 termapriori = 1
% 2.97/3.37 litaposteriori = 0
% 2.97/3.37 termaposteriori = 0
% 2.97/3.37 demodaposteriori = 0
% 2.97/3.37 ordereqreflfact = 0
% 2.97/3.37
% 2.97/3.37 litselect = negord
% 2.97/3.37
% 2.97/3.37 maxweight = 15
% 2.97/3.37 maxdepth = 30000
% 2.97/3.37 maxlength = 115
% 2.97/3.37 maxnrvars = 195
% 2.97/3.37 excuselevel = 1
% 2.97/3.37 increasemaxweight = 1
% 2.97/3.37
% 2.97/3.37 maxselected = 10000000
% 2.97/3.37 maxnrclauses = 10000000
% 2.97/3.37
% 2.97/3.37 showgenerated = 0
% 2.97/3.37 showkept = 0
% 2.97/3.37 showselected = 0
% 2.97/3.37 showdeleted = 0
% 2.97/3.37 showresimp = 1
% 2.97/3.37 showstatus = 2000
% 2.97/3.37
% 2.97/3.37 prologoutput = 0
% 2.97/3.37 nrgoals = 5000000
% 2.97/3.37 totalproof = 1
% 2.97/3.37
% 2.97/3.37 Symbols occurring in the translation:
% 2.97/3.37
% 2.97/3.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.97/3.37 . [1, 2] (w:1, o:50, a:1, s:1, b:0),
% 2.97/3.37 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 2.97/3.37 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 2.97/3.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.97/3.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.97/3.37 in [37, 2] (w:1, o:74, a:1, s:1, b:0),
% 2.97/3.37 v1_membered [38, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.97/3.37 element [39, 2] (w:1, o:75, a:1, s:1, b:0),
% 2.97/3.37 v1_xcmplx_0 [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.97/3.37 v2_membered [41, 1] (w:1, o:27, a:1, s:1, b:0),
% 2.97/3.37 v1_xreal_0 [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.97/3.37 v3_membered [43, 1] (w:1, o:28, a:1, s:1, b:0),
% 2.97/3.37 v1_rat_1 [44, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.97/3.37 v4_membered [45, 1] (w:1, o:29, a:1, s:1, b:0),
% 2.97/3.37 v1_int_1 [46, 1] (w:1, o:26, a:1, s:1, b:0),
% 2.97/3.37 v5_membered [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 2.97/3.37 natural [48, 1] (w:1, o:31, a:1, s:1, b:0),
% 2.97/3.37 empty [49, 1] (w:1, o:32, a:1, s:1, b:0),
% 2.97/3.37 powerset [50, 1] (w:1, o:34, a:1, s:1, b:0),
% 2.97/3.37 empty_carrier [51, 1] (w:1, o:35, a:1, s:1, b:0),
% 2.97/3.37 topological_space [52, 1] (w:1, o:39, a:1, s:1, b:0),
% 2.97/3.37 top_str [53, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.97/3.37 the_carrier [54, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.97/3.37 point_neighbourhood [56, 3] (w:1, o:80, a:1, s:1, b:0),
% 2.97/3.37 interior [57, 2] (w:1, o:76, a:1, s:1, b:0),
% 2.97/3.37 one_sorted_str [58, 1] (w:1, o:33, a:1, s:1, b:0),
% 2.97/3.37 empty_set [59, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.97/3.37 subset [60, 2] (w:1, o:77, a:1, s:1, b:0),
% 2.97/3.37 open_subset [62, 2] (w:1, o:78, a:1, s:1, b:0),
% 2.97/3.37 alpha1 [63, 1] (w:1, o:42, a:1, s:1, b:1),
% 2.97/3.37 alpha2 [64, 1] (w:1, o:43, a:1, s:1, b:1),
% 2.97/3.37 alpha3 [65, 1] (w:1, o:44, a:1, s:1, b:1),
% 2.97/3.37 alpha4 [66, 1] (w:1, o:45, a:1, s:1, b:1),
% 2.97/3.37 alpha5 [67, 1] (w:1, o:46, a:1, s:1, b:1),
% 2.97/3.37 alpha6 [68, 1] (w:1, o:47, a:1, s:1, b:1),
% 2.97/3.37 alpha7 [69, 1] (w:1, o:48, a:1, s:1, b:1),
% 2.97/3.37 alpha8 [70, 1] (w:1, o:49, a:1, s:1, b:1),
% 2.97/3.37 skol1 [71, 0] (w:1, o:11, a:1, s:1, b:1),
% 2.97/3.37 skol2 [72, 0] (w:1, o:13, a:1, s:1, b:1),
% 2.97/3.37 skol3 [73, 2] (w:1, o:79, a:1, s:1, b:1),
% 2.97/3.37 skol4 [74, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.97/3.37 skol5 [75, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.97/3.37 skol6 [76, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.97/3.37 skol7 [77, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.97/3.37 skol8 [78, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.97/3.37 skol9 [79, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.97/3.37 skol10 [80, 0] (w:1, o:12, a:1, s:1, b:1).
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Starting Search:
% 2.97/3.37
% 2.97/3.37 *** allocated 15000 integers for clauses
% 2.97/3.37 *** allocated 22500 integers for clauses
% 2.97/3.37 *** allocated 33750 integers for clauses
% 2.97/3.37 *** allocated 50625 integers for clauses
% 2.97/3.37 *** allocated 15000 integers for termspace/termends
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 *** allocated 75937 integers for clauses
% 2.97/3.37 *** allocated 22500 integers for termspace/termends
% 2.97/3.37 *** allocated 113905 integers for clauses
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 6524
% 2.97/3.37 Kept: 2001
% 2.97/3.37 Inuse: 502
% 2.97/3.37 Deleted: 43
% 2.97/3.37 Deletedinuse: 19
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 *** allocated 33750 integers for termspace/termends
% 2.97/3.37 *** allocated 170857 integers for clauses
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 *** allocated 50625 integers for termspace/termends
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 14975
% 2.97/3.37 Kept: 4001
% 2.97/3.37 Inuse: 758
% 2.97/3.37 Deleted: 59
% 2.97/3.37 Deletedinuse: 24
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 *** allocated 256285 integers for clauses
% 2.97/3.37 *** allocated 75937 integers for termspace/termends
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 26159
% 2.97/3.37 Kept: 6042
% 2.97/3.37 Inuse: 1016
% 2.97/3.37 Deleted: 77
% 2.97/3.37 Deletedinuse: 24
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 *** allocated 384427 integers for clauses
% 2.97/3.37 *** allocated 113905 integers for termspace/termends
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 37726
% 2.97/3.37 Kept: 8053
% 2.97/3.37 Inuse: 1227
% 2.97/3.37 Deleted: 112
% 2.97/3.37 Deletedinuse: 29
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 *** allocated 576640 integers for clauses
% 2.97/3.37 *** allocated 170857 integers for termspace/termends
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 53934
% 2.97/3.37 Kept: 10053
% 2.97/3.37 Inuse: 1517
% 2.97/3.37 Deleted: 126
% 2.97/3.37 Deletedinuse: 30
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 60560
% 2.97/3.37 Kept: 12053
% 2.97/3.37 Inuse: 1570
% 2.97/3.37 Deleted: 127
% 2.97/3.37 Deletedinuse: 30
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 65941
% 2.97/3.37 Kept: 14067
% 2.97/3.37 Inuse: 1639
% 2.97/3.37 Deleted: 127
% 2.97/3.37 Deletedinuse: 30
% 2.97/3.37
% 2.97/3.37 *** allocated 864960 integers for clauses
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 *** allocated 256285 integers for termspace/termends
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 73588
% 2.97/3.37 Kept: 16116
% 2.97/3.37 Inuse: 1719
% 2.97/3.37 Deleted: 127
% 2.97/3.37 Deletedinuse: 30
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Intermediate Status:
% 2.97/3.37 Generated: 80399
% 2.97/3.37 Kept: 18180
% 2.97/3.37 Inuse: 1829
% 2.97/3.37 Deleted: 127
% 2.97/3.37 Deletedinuse: 30
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 Resimplifying inuse:
% 2.97/3.37 Done
% 2.97/3.37
% 2.97/3.37 Resimplifying clauses:
% 2.97/3.37
% 2.97/3.37 Bliksems!, er is een bewijs:
% 2.97/3.37 % SZS status Theorem
% 2.97/3.37 % SZS output start Refutation
% 2.97/3.37
% 2.97/3.37 (57) {G0,W24,D4,L7,V3,M7} I { empty_carrier( X ), ! topological_space( X )
% 2.97/3.37 , ! top_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 2.97/3.37 powerset( the_carrier( X ) ) ), ! in( Y, interior( X, Z ) ),
% 2.97/3.37 point_neighbourhood( Z, X, Y ) }.
% 2.97/3.37 (88) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z, powerset( Y ) ),
% 2.97/3.37 element( X, Y ) }.
% 2.97/3.37 (89) {G0,W24,D4,L7,V4,M7} I { ! topological_space( X ), ! top_str( X ), !
% 2.97/3.37 top_str( Y ), ! element( Z, powerset( the_carrier( X ) ) ), ! element( T
% 2.97/3.37 , powerset( the_carrier( Y ) ) ), ! open_subset( T, Y ), interior( Y, T )
% 2.97/3.37 ==> T }.
% 2.97/3.37 (91) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 2.97/3.37 (92) {G0,W2,D2,L1,V0,M1} I { topological_space( skol8 ) }.
% 2.97/3.37 (93) {G0,W2,D2,L1,V0,M1} I { top_str( skol8 ) }.
% 2.97/3.37 (94) {G0,W5,D4,L1,V0,M1} I { element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ) }.
% 2.97/3.37 (96) {G0,W3,D2,L1,V0,M1} I { open_subset( skol9, skol8 ) }.
% 2.97/3.37 (97) {G0,W3,D2,L1,V0,M1} I { in( skol10, skol9 ) }.
% 2.97/3.37 (98) {G0,W4,D2,L1,V0,M1} I { ! point_neighbourhood( skol9, skol8, skol10 )
% 2.97/3.37 }.
% 2.97/3.37 (416) {G1,W18,D4,L5,V0,M5} R(57,98);r(91) { ! topological_space( skol8 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ), ! element(
% 2.97/3.37 skol9, powerset( the_carrier( skol8 ) ) ), ! in( skol10, interior( skol8
% 2.97/3.37 , skol9 ) ) }.
% 2.97/3.37 (833) {G1,W19,D4,L5,V2,M5} R(89,96);r(93) { ! topological_space( X ), !
% 2.97/3.37 top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), ! element(
% 2.97/3.37 skol9, powerset( the_carrier( skol8 ) ) ), interior( skol8, skol9 ) ==>
% 2.97/3.37 skol9 }.
% 2.97/3.37 (843) {G2,W12,D4,L3,V0,M3} F(833);r(92) { ! top_str( skol8 ), ! element(
% 2.97/3.37 skol9, powerset( the_carrier( skol8 ) ) ), interior( skol8, skol9 ) ==>
% 2.97/3.37 skol9 }.
% 2.97/3.37 (862) {G1,W7,D3,L2,V1,M2} R(94,88) { ! in( X, skol9 ), element( X,
% 2.97/3.37 the_carrier( skol8 ) ) }.
% 2.97/3.37 (7295) {G3,W14,D4,L4,V0,M4} S(416);d(843);r(92) { ! top_str( skol8 ), !
% 2.97/3.37 element( skol10, the_carrier( skol8 ) ), ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ), ! in( skol10, skol9 ) }.
% 2.97/3.37 (20108) {G4,W0,D0,L0,V0,M0} S(7295);r(93);r(862);r(94);r(97) { }.
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 % SZS output end Refutation
% 2.97/3.37 found a proof!
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Unprocessed initial clauses:
% 2.97/3.37
% 2.97/3.37 (20110) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 2.97/3.37 (20111) {G0,W7,D2,L3,V2,M3} { ! v1_membered( X ), ! element( Y, X ),
% 2.97/3.37 v1_xcmplx_0( Y ) }.
% 2.97/3.37 (20112) {G0,W7,D2,L3,V2,M3} { ! v2_membered( X ), ! element( Y, X ),
% 2.97/3.37 v1_xcmplx_0( Y ) }.
% 2.97/3.37 (20113) {G0,W7,D2,L3,V2,M3} { ! v2_membered( X ), ! element( Y, X ),
% 2.97/3.37 v1_xreal_0( Y ) }.
% 2.97/3.37 (20114) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 2.97/3.37 v1_xcmplx_0( Y ) }.
% 2.97/3.37 (20115) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 2.97/3.37 v1_xreal_0( Y ) }.
% 2.97/3.37 (20116) {G0,W7,D2,L3,V2,M3} { ! v3_membered( X ), ! element( Y, X ),
% 2.97/3.37 v1_rat_1( Y ) }.
% 2.97/3.37 (20117) {G0,W7,D2,L3,V2,M3} { ! v4_membered( X ), ! element( Y, X ),
% 2.97/3.37 alpha1( Y ) }.
% 2.97/3.37 (20118) {G0,W7,D2,L3,V2,M3} { ! v4_membered( X ), ! element( Y, X ),
% 2.97/3.37 v1_rat_1( Y ) }.
% 2.97/3.37 (20119) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_xcmplx_0( X ) }.
% 2.97/3.37 (20120) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_xreal_0( X ) }.
% 2.97/3.37 (20121) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), v1_int_1( X ) }.
% 2.97/3.37 (20122) {G0,W8,D2,L4,V1,M4} { ! v1_xcmplx_0( X ), ! v1_xreal_0( X ), !
% 2.97/3.37 v1_int_1( X ), alpha1( X ) }.
% 2.97/3.37 (20123) {G0,W7,D2,L3,V2,M3} { ! v5_membered( X ), ! element( Y, X ),
% 2.97/3.37 alpha2( Y ) }.
% 2.97/3.37 (20124) {G0,W7,D2,L3,V2,M3} { ! v5_membered( X ), ! element( Y, X ),
% 2.97/3.37 v1_rat_1( Y ) }.
% 2.97/3.37 (20125) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha6( X ) }.
% 2.97/3.37 (20126) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), v1_int_1( X ) }.
% 2.97/3.37 (20127) {G0,W6,D2,L3,V1,M3} { ! alpha6( X ), ! v1_int_1( X ), alpha2( X )
% 2.97/3.37 }.
% 2.97/3.37 (20128) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), v1_xcmplx_0( X ) }.
% 2.97/3.37 (20129) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), natural( X ) }.
% 2.97/3.37 (20130) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), v1_xreal_0( X ) }.
% 2.97/3.37 (20131) {G0,W8,D2,L4,V1,M4} { ! v1_xcmplx_0( X ), ! natural( X ), !
% 2.97/3.37 v1_xreal_0( X ), alpha6( X ) }.
% 2.97/3.37 (20132) {G0,W4,D2,L2,V1,M2} { ! empty( X ), alpha3( X ) }.
% 2.97/3.37 (20133) {G0,W4,D2,L2,V1,M2} { ! empty( X ), v5_membered( X ) }.
% 2.97/3.37 (20134) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha7( X ) }.
% 2.97/3.37 (20135) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), v4_membered( X ) }.
% 2.97/3.37 (20136) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), ! v4_membered( X ), alpha3( X
% 2.97/3.37 ) }.
% 2.97/3.37 (20137) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), v1_membered( X ) }.
% 2.97/3.37 (20138) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), v2_membered( X ) }.
% 2.97/3.37 (20139) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), v3_membered( X ) }.
% 2.97/3.37 (20140) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 2.97/3.37 v3_membered( X ), alpha7( X ) }.
% 2.97/3.37 (20141) {G0,W8,D3,L3,V2,M3} { ! v1_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), v1_membered( Y ) }.
% 2.97/3.37 (20142) {G0,W8,D3,L3,V2,M3} { ! v2_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), v1_membered( Y ) }.
% 2.97/3.37 (20143) {G0,W8,D3,L3,V2,M3} { ! v2_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), v2_membered( Y ) }.
% 2.97/3.37 (20144) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), v1_membered( Y ) }.
% 2.97/3.37 (20145) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), v2_membered( Y ) }.
% 2.97/3.37 (20146) {G0,W8,D3,L3,V2,M3} { ! v3_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), v3_membered( Y ) }.
% 2.97/3.37 (20147) {G0,W8,D3,L3,V2,M3} { ! v4_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), alpha4( Y ) }.
% 2.97/3.37 (20148) {G0,W8,D3,L3,V2,M3} { ! v4_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), v4_membered( Y ) }.
% 2.97/3.37 (20149) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), v1_membered( X ) }.
% 2.97/3.37 (20150) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), v2_membered( X ) }.
% 2.97/3.37 (20151) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), v3_membered( X ) }.
% 2.97/3.37 (20152) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 2.97/3.37 v3_membered( X ), alpha4( X ) }.
% 2.97/3.37 (20153) {G0,W4,D2,L2,V1,M2} { ! v5_membered( X ), v4_membered( X ) }.
% 2.97/3.37 (20154) {G0,W8,D3,L3,V2,M3} { ! v5_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), alpha5( Y ) }.
% 2.97/3.37 (20155) {G0,W8,D3,L3,V2,M3} { ! v5_membered( X ), ! element( Y, powerset(
% 2.97/3.37 X ) ), v5_membered( Y ) }.
% 2.97/3.37 (20156) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha8( X ) }.
% 2.97/3.37 (20157) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), v4_membered( X ) }.
% 2.97/3.37 (20158) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), ! v4_membered( X ), alpha5( X
% 2.97/3.37 ) }.
% 2.97/3.37 (20159) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), v1_membered( X ) }.
% 2.97/3.37 (20160) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), v2_membered( X ) }.
% 2.97/3.37 (20161) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), v3_membered( X ) }.
% 2.97/3.37 (20162) {G0,W8,D2,L4,V1,M4} { ! v1_membered( X ), ! v2_membered( X ), !
% 2.97/3.37 v3_membered( X ), alpha8( X ) }.
% 2.97/3.37 (20163) {G0,W4,D2,L2,V1,M2} { ! v4_membered( X ), v3_membered( X ) }.
% 2.97/3.37 (20164) {G0,W4,D2,L2,V1,M2} { ! v3_membered( X ), v2_membered( X ) }.
% 2.97/3.37 (20165) {G0,W4,D2,L2,V1,M2} { ! v2_membered( X ), v1_membered( X ) }.
% 2.97/3.37 (20166) {G0,W24,D4,L7,V3,M7} { empty_carrier( X ), ! topological_space( X
% 2.97/3.37 ), ! top_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 2.97/3.37 powerset( the_carrier( X ) ) ), ! point_neighbourhood( Z, X, Y ), in( Y,
% 2.97/3.37 interior( X, Z ) ) }.
% 2.97/3.37 (20167) {G0,W24,D4,L7,V3,M7} { empty_carrier( X ), ! topological_space( X
% 2.97/3.37 ), ! top_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 2.97/3.37 powerset( the_carrier( X ) ) ), ! in( Y, interior( X, Z ) ),
% 2.97/3.37 point_neighbourhood( Z, X, Y ) }.
% 2.97/3.37 (20168) {G0,W14,D4,L3,V2,M3} { ! top_str( X ), ! element( Y, powerset(
% 2.97/3.37 the_carrier( X ) ) ), element( interior( X, Y ), powerset( the_carrier( X
% 2.97/3.37 ) ) ) }.
% 2.97/3.37 (20169) {G0,W1,D1,L1,V0,M1} { && }.
% 2.97/3.37 (20170) {G0,W1,D1,L1,V0,M1} { && }.
% 2.97/3.37 (20171) {G0,W4,D2,L2,V1,M2} { ! top_str( X ), one_sorted_str( X ) }.
% 2.97/3.37 (20172) {G0,W1,D1,L1,V0,M1} { && }.
% 2.97/3.37 (20173) {G0,W19,D4,L6,V3,M6} { empty_carrier( X ), ! topological_space( X
% 2.97/3.37 ), ! top_str( X ), ! element( Y, the_carrier( X ) ), !
% 2.97/3.37 point_neighbourhood( Z, X, Y ), element( Z, powerset( the_carrier( X ) )
% 2.97/3.37 ) }.
% 2.97/3.37 (20174) {G0,W1,D1,L1,V0,M1} { && }.
% 2.97/3.37 (20175) {G0,W1,D1,L1,V0,M1} { && }.
% 2.97/3.37 (20176) {G0,W2,D2,L1,V0,M1} { top_str( skol1 ) }.
% 2.97/3.37 (20177) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol2 ) }.
% 2.97/3.37 (20178) {G0,W16,D3,L5,V2,M5} { empty_carrier( X ), ! topological_space( X
% 2.97/3.37 ), ! top_str( X ), ! element( Y, the_carrier( X ) ), point_neighbourhood
% 2.97/3.37 ( skol3( X, Y ), X, Y ) }.
% 2.97/3.37 (20179) {G0,W4,D3,L1,V1,M1} { element( skol4( X ), X ) }.
% 2.97/3.37 (20180) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 2.97/3.37 (20181) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 2.97/3.37 (20182) {G0,W2,D2,L1,V0,M1} { v1_membered( empty_set ) }.
% 2.97/3.37 (20183) {G0,W2,D2,L1,V0,M1} { v2_membered( empty_set ) }.
% 2.97/3.37 (20184) {G0,W2,D2,L1,V0,M1} { v3_membered( empty_set ) }.
% 2.97/3.37 (20185) {G0,W2,D2,L1,V0,M1} { v4_membered( empty_set ) }.
% 2.97/3.37 (20186) {G0,W2,D2,L1,V0,M1} { v5_membered( empty_set ) }.
% 2.97/3.37 (20187) {G0,W2,D2,L1,V0,M1} { ! empty( skol5 ) }.
% 2.97/3.37 (20188) {G0,W2,D2,L1,V0,M1} { v1_membered( skol5 ) }.
% 2.97/3.37 (20189) {G0,W2,D2,L1,V0,M1} { v2_membered( skol5 ) }.
% 2.97/3.37 (20190) {G0,W2,D2,L1,V0,M1} { v3_membered( skol5 ) }.
% 2.97/3.37 (20191) {G0,W2,D2,L1,V0,M1} { v4_membered( skol5 ) }.
% 2.97/3.37 (20192) {G0,W2,D2,L1,V0,M1} { v5_membered( skol5 ) }.
% 2.97/3.37 (20193) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol6( Y ) ) }.
% 2.97/3.37 (20194) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol6( X ), powerset( X
% 2.97/3.37 ) ) }.
% 2.97/3.37 (20195) {G0,W3,D3,L1,V1,M1} { empty( skol7( Y ) ) }.
% 2.97/3.37 (20196) {G0,W5,D3,L1,V1,M1} { element( skol7( X ), powerset( X ) ) }.
% 2.97/3.37 (20197) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 2.97/3.37 (20198) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 2.97/3.37 (20199) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 2.97/3.37 }.
% 2.97/3.37 (20200) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 2.97/3.37 ) }.
% 2.97/3.37 (20201) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 2.97/3.37 ) }.
% 2.97/3.37 (20202) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 2.97/3.37 , element( X, Y ) }.
% 2.97/3.37 (20203) {G0,W24,D4,L7,V4,M7} { ! topological_space( X ), ! top_str( X ), !
% 2.97/3.37 top_str( Y ), ! element( Z, powerset( the_carrier( X ) ) ), ! element( T
% 2.97/3.37 , powerset( the_carrier( Y ) ) ), ! open_subset( T, Y ), interior( Y, T )
% 2.97/3.37 = T }.
% 2.97/3.37 (20204) {G0,W24,D4,L7,V4,M7} { ! topological_space( X ), ! top_str( X ), !
% 2.97/3.37 top_str( Y ), ! element( Z, powerset( the_carrier( X ) ) ), ! element( T
% 2.97/3.37 , powerset( the_carrier( Y ) ) ), ! interior( X, Z ) = Z, open_subset( Z
% 2.97/3.37 , X ) }.
% 2.97/3.37 (20205) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol8 ) }.
% 2.97/3.37 (20206) {G0,W2,D2,L1,V0,M1} { topological_space( skol8 ) }.
% 2.97/3.37 (20207) {G0,W2,D2,L1,V0,M1} { top_str( skol8 ) }.
% 2.97/3.37 (20208) {G0,W5,D4,L1,V0,M1} { element( skol9, powerset( the_carrier( skol8
% 2.97/3.37 ) ) ) }.
% 2.97/3.37 (20209) {G0,W4,D3,L1,V0,M1} { element( skol10, the_carrier( skol8 ) ) }.
% 2.97/3.37 (20210) {G0,W3,D2,L1,V0,M1} { open_subset( skol9, skol8 ) }.
% 2.97/3.37 (20211) {G0,W3,D2,L1,V0,M1} { in( skol10, skol9 ) }.
% 2.97/3.37 (20212) {G0,W4,D2,L1,V0,M1} { ! point_neighbourhood( skol9, skol8, skol10
% 2.97/3.37 ) }.
% 2.97/3.37 (20213) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 2.97/3.37 , ! empty( Z ) }.
% 2.97/3.37 (20214) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 2.97/3.37 (20215) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 2.97/3.37 (20216) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Total Proof:
% 2.97/3.37
% 2.97/3.37 subsumption: (57) {G0,W24,D4,L7,V3,M7} I { empty_carrier( X ), !
% 2.97/3.37 topological_space( X ), ! top_str( X ), ! element( Y, the_carrier( X ) )
% 2.97/3.37 , ! element( Z, powerset( the_carrier( X ) ) ), ! in( Y, interior( X, Z )
% 2.97/3.37 ), point_neighbourhood( Z, X, Y ) }.
% 2.97/3.37 parent0: (20167) {G0,W24,D4,L7,V3,M7} { empty_carrier( X ), !
% 2.97/3.37 topological_space( X ), ! top_str( X ), ! element( Y, the_carrier( X ) )
% 2.97/3.37 , ! element( Z, powerset( the_carrier( X ) ) ), ! in( Y, interior( X, Z )
% 2.97/3.37 ), point_neighbourhood( Z, X, Y ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := X
% 2.97/3.37 Y := Y
% 2.97/3.37 Z := Z
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 1 ==> 1
% 2.97/3.37 2 ==> 2
% 2.97/3.37 3 ==> 3
% 2.97/3.37 4 ==> 4
% 2.97/3.37 5 ==> 5
% 2.97/3.37 6 ==> 6
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (88) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z,
% 2.97/3.37 powerset( Y ) ), element( X, Y ) }.
% 2.97/3.37 parent0: (20202) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z,
% 2.97/3.37 powerset( Y ) ), element( X, Y ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := X
% 2.97/3.37 Y := Y
% 2.97/3.37 Z := Z
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 1 ==> 1
% 2.97/3.37 2 ==> 2
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (89) {G0,W24,D4,L7,V4,M7} I { ! topological_space( X ), !
% 2.97/3.37 top_str( X ), ! top_str( Y ), ! element( Z, powerset( the_carrier( X ) )
% 2.97/3.37 ), ! element( T, powerset( the_carrier( Y ) ) ), ! open_subset( T, Y ),
% 2.97/3.37 interior( Y, T ) ==> T }.
% 2.97/3.37 parent0: (20203) {G0,W24,D4,L7,V4,M7} { ! topological_space( X ), !
% 2.97/3.37 top_str( X ), ! top_str( Y ), ! element( Z, powerset( the_carrier( X ) )
% 2.97/3.37 ), ! element( T, powerset( the_carrier( Y ) ) ), ! open_subset( T, Y ),
% 2.97/3.37 interior( Y, T ) = T }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := X
% 2.97/3.37 Y := Y
% 2.97/3.37 Z := Z
% 2.97/3.37 T := T
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 1 ==> 1
% 2.97/3.37 2 ==> 2
% 2.97/3.37 3 ==> 3
% 2.97/3.37 4 ==> 4
% 2.97/3.37 5 ==> 5
% 2.97/3.37 6 ==> 6
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (91) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 2.97/3.37 parent0: (20205) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (92) {G0,W2,D2,L1,V0,M1} I { topological_space( skol8 ) }.
% 2.97/3.37 parent0: (20206) {G0,W2,D2,L1,V0,M1} { topological_space( skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (93) {G0,W2,D2,L1,V0,M1} I { top_str( skol8 ) }.
% 2.97/3.37 parent0: (20207) {G0,W2,D2,L1,V0,M1} { top_str( skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (94) {G0,W5,D4,L1,V0,M1} I { element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ) }.
% 2.97/3.37 parent0: (20208) {G0,W5,D4,L1,V0,M1} { element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (96) {G0,W3,D2,L1,V0,M1} I { open_subset( skol9, skol8 ) }.
% 2.97/3.37 parent0: (20210) {G0,W3,D2,L1,V0,M1} { open_subset( skol9, skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (97) {G0,W3,D2,L1,V0,M1} I { in( skol10, skol9 ) }.
% 2.97/3.37 parent0: (20211) {G0,W3,D2,L1,V0,M1} { in( skol10, skol9 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (98) {G0,W4,D2,L1,V0,M1} I { ! point_neighbourhood( skol9,
% 2.97/3.37 skol8, skol10 ) }.
% 2.97/3.37 parent0: (20212) {G0,W4,D2,L1,V0,M1} { ! point_neighbourhood( skol9, skol8
% 2.97/3.37 , skol10 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20332) {G1,W20,D4,L6,V0,M6} { empty_carrier( skol8 ), !
% 2.97/3.37 topological_space( skol8 ), ! top_str( skol8 ), ! element( skol10,
% 2.97/3.37 the_carrier( skol8 ) ), ! element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ), ! in( skol10, interior( skol8, skol9 ) ) }.
% 2.97/3.37 parent0[0]: (98) {G0,W4,D2,L1,V0,M1} I { ! point_neighbourhood( skol9,
% 2.97/3.37 skol8, skol10 ) }.
% 2.97/3.37 parent1[6]: (57) {G0,W24,D4,L7,V3,M7} I { empty_carrier( X ), !
% 2.97/3.37 topological_space( X ), ! top_str( X ), ! element( Y, the_carrier( X ) )
% 2.97/3.37 , ! element( Z, powerset( the_carrier( X ) ) ), ! in( Y, interior( X, Z )
% 2.97/3.37 ), point_neighbourhood( Z, X, Y ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 X := skol8
% 2.97/3.37 Y := skol10
% 2.97/3.37 Z := skol9
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20333) {G1,W18,D4,L5,V0,M5} { ! topological_space( skol8 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ), ! element(
% 2.97/3.37 skol9, powerset( the_carrier( skol8 ) ) ), ! in( skol10, interior( skol8
% 2.97/3.37 , skol9 ) ) }.
% 2.97/3.37 parent0[0]: (91) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 2.97/3.37 parent1[0]: (20332) {G1,W20,D4,L6,V0,M6} { empty_carrier( skol8 ), !
% 2.97/3.37 topological_space( skol8 ), ! top_str( skol8 ), ! element( skol10,
% 2.97/3.37 the_carrier( skol8 ) ), ! element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ), ! in( skol10, interior( skol8, skol9 ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (416) {G1,W18,D4,L5,V0,M5} R(57,98);r(91) { !
% 2.97/3.37 topological_space( skol8 ), ! top_str( skol8 ), ! element( skol10,
% 2.97/3.37 the_carrier( skol8 ) ), ! element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ), ! in( skol10, interior( skol8, skol9 ) ) }.
% 2.97/3.37 parent0: (20333) {G1,W18,D4,L5,V0,M5} { ! topological_space( skol8 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ), ! element(
% 2.97/3.37 skol9, powerset( the_carrier( skol8 ) ) ), ! in( skol10, interior( skol8
% 2.97/3.37 , skol9 ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 1 ==> 1
% 2.97/3.37 2 ==> 2
% 2.97/3.37 3 ==> 3
% 2.97/3.37 4 ==> 4
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 eqswap: (20334) {G0,W24,D4,L7,V4,M7} { Y ==> interior( X, Y ), !
% 2.97/3.37 topological_space( Z ), ! top_str( Z ), ! top_str( X ), ! element( T,
% 2.97/3.37 powerset( the_carrier( Z ) ) ), ! element( Y, powerset( the_carrier( X )
% 2.97/3.37 ) ), ! open_subset( Y, X ) }.
% 2.97/3.37 parent0[6]: (89) {G0,W24,D4,L7,V4,M7} I { ! topological_space( X ), !
% 2.97/3.37 top_str( X ), ! top_str( Y ), ! element( Z, powerset( the_carrier( X ) )
% 2.97/3.37 ), ! element( T, powerset( the_carrier( Y ) ) ), ! open_subset( T, Y ),
% 2.97/3.37 interior( Y, T ) ==> T }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := Z
% 2.97/3.37 Y := X
% 2.97/3.37 Z := T
% 2.97/3.37 T := Y
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20335) {G1,W21,D4,L6,V2,M6} { skol9 ==> interior( skol8,
% 2.97/3.37 skol9 ), ! topological_space( X ), ! top_str( X ), ! top_str( skol8 ), !
% 2.97/3.37 element( Y, powerset( the_carrier( X ) ) ), ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ) }.
% 2.97/3.37 parent0[6]: (20334) {G0,W24,D4,L7,V4,M7} { Y ==> interior( X, Y ), !
% 2.97/3.37 topological_space( Z ), ! top_str( Z ), ! top_str( X ), ! element( T,
% 2.97/3.37 powerset( the_carrier( Z ) ) ), ! element( Y, powerset( the_carrier( X )
% 2.97/3.37 ) ), ! open_subset( Y, X ) }.
% 2.97/3.37 parent1[0]: (96) {G0,W3,D2,L1,V0,M1} I { open_subset( skol9, skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := skol8
% 2.97/3.37 Y := skol9
% 2.97/3.37 Z := X
% 2.97/3.37 T := Y
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20347) {G1,W19,D4,L5,V2,M5} { skol9 ==> interior( skol8,
% 2.97/3.37 skol9 ), ! topological_space( X ), ! top_str( X ), ! element( Y, powerset
% 2.97/3.37 ( the_carrier( X ) ) ), ! element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ) }.
% 2.97/3.37 parent0[3]: (20335) {G1,W21,D4,L6,V2,M6} { skol9 ==> interior( skol8,
% 2.97/3.37 skol9 ), ! topological_space( X ), ! top_str( X ), ! top_str( skol8 ), !
% 2.97/3.37 element( Y, powerset( the_carrier( X ) ) ), ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ) }.
% 2.97/3.37 parent1[0]: (93) {G0,W2,D2,L1,V0,M1} I { top_str( skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := X
% 2.97/3.37 Y := Y
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 eqswap: (20348) {G1,W19,D4,L5,V2,M5} { interior( skol8, skol9 ) ==> skol9
% 2.97/3.37 , ! topological_space( X ), ! top_str( X ), ! element( Y, powerset(
% 2.97/3.37 the_carrier( X ) ) ), ! element( skol9, powerset( the_carrier( skol8 ) )
% 2.97/3.37 ) }.
% 2.97/3.37 parent0[0]: (20347) {G1,W19,D4,L5,V2,M5} { skol9 ==> interior( skol8,
% 2.97/3.37 skol9 ), ! topological_space( X ), ! top_str( X ), ! element( Y, powerset
% 2.97/3.37 ( the_carrier( X ) ) ), ! element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := X
% 2.97/3.37 Y := Y
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (833) {G1,W19,D4,L5,V2,M5} R(89,96);r(93) { !
% 2.97/3.37 topological_space( X ), ! top_str( X ), ! element( Y, powerset(
% 2.97/3.37 the_carrier( X ) ) ), ! element( skol9, powerset( the_carrier( skol8 ) )
% 2.97/3.37 ), interior( skol8, skol9 ) ==> skol9 }.
% 2.97/3.37 parent0: (20348) {G1,W19,D4,L5,V2,M5} { interior( skol8, skol9 ) ==> skol9
% 2.97/3.37 , ! topological_space( X ), ! top_str( X ), ! element( Y, powerset(
% 2.97/3.37 the_carrier( X ) ) ), ! element( skol9, powerset( the_carrier( skol8 ) )
% 2.97/3.37 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := X
% 2.97/3.37 Y := Y
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 4
% 2.97/3.37 1 ==> 0
% 2.97/3.37 2 ==> 1
% 2.97/3.37 3 ==> 2
% 2.97/3.37 4 ==> 3
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 factor: (20353) {G1,W14,D4,L4,V0,M4} { ! topological_space( skol8 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ),
% 2.97/3.37 interior( skol8, skol9 ) ==> skol9 }.
% 2.97/3.37 parent0[2, 3]: (833) {G1,W19,D4,L5,V2,M5} R(89,96);r(93) { !
% 2.97/3.37 topological_space( X ), ! top_str( X ), ! element( Y, powerset(
% 2.97/3.37 the_carrier( X ) ) ), ! element( skol9, powerset( the_carrier( skol8 ) )
% 2.97/3.37 ), interior( skol8, skol9 ) ==> skol9 }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := skol8
% 2.97/3.37 Y := skol9
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20354) {G1,W12,D4,L3,V0,M3} { ! top_str( skol8 ), ! element(
% 2.97/3.37 skol9, powerset( the_carrier( skol8 ) ) ), interior( skol8, skol9 ) ==>
% 2.97/3.37 skol9 }.
% 2.97/3.37 parent0[0]: (20353) {G1,W14,D4,L4,V0,M4} { ! topological_space( skol8 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ),
% 2.97/3.37 interior( skol8, skol9 ) ==> skol9 }.
% 2.97/3.37 parent1[0]: (92) {G0,W2,D2,L1,V0,M1} I { topological_space( skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (843) {G2,W12,D4,L3,V0,M3} F(833);r(92) { ! top_str( skol8 ),
% 2.97/3.37 ! element( skol9, powerset( the_carrier( skol8 ) ) ), interior( skol8,
% 2.97/3.37 skol9 ) ==> skol9 }.
% 2.97/3.37 parent0: (20354) {G1,W12,D4,L3,V0,M3} { ! top_str( skol8 ), ! element(
% 2.97/3.37 skol9, powerset( the_carrier( skol8 ) ) ), interior( skol8, skol9 ) ==>
% 2.97/3.37 skol9 }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 1 ==> 1
% 2.97/3.37 2 ==> 2
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20356) {G1,W7,D3,L2,V1,M2} { ! in( X, skol9 ), element( X,
% 2.97/3.37 the_carrier( skol8 ) ) }.
% 2.97/3.37 parent0[1]: (88) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z,
% 2.97/3.37 powerset( Y ) ), element( X, Y ) }.
% 2.97/3.37 parent1[0]: (94) {G0,W5,D4,L1,V0,M1} I { element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := X
% 2.97/3.37 Y := the_carrier( skol8 )
% 2.97/3.37 Z := skol9
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (862) {G1,W7,D3,L2,V1,M2} R(94,88) { ! in( X, skol9 ), element
% 2.97/3.37 ( X, the_carrier( skol8 ) ) }.
% 2.97/3.37 parent0: (20356) {G1,W7,D3,L2,V1,M2} { ! in( X, skol9 ), element( X,
% 2.97/3.37 the_carrier( skol8 ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 X := X
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 0
% 2.97/3.37 1 ==> 1
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 paramod: (20358) {G2,W23,D4,L7,V0,M7} { ! in( skol10, skol9 ), ! top_str(
% 2.97/3.37 skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), !
% 2.97/3.37 topological_space( skol8 ), ! top_str( skol8 ), ! element( skol10,
% 2.97/3.37 the_carrier( skol8 ) ), ! element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ) }.
% 2.97/3.37 parent0[2]: (843) {G2,W12,D4,L3,V0,M3} F(833);r(92) { ! top_str( skol8 ), !
% 2.97/3.37 element( skol9, powerset( the_carrier( skol8 ) ) ), interior( skol8,
% 2.97/3.37 skol9 ) ==> skol9 }.
% 2.97/3.37 parent1[4; 3]: (416) {G1,W18,D4,L5,V0,M5} R(57,98);r(91) { !
% 2.97/3.37 topological_space( skol8 ), ! top_str( skol8 ), ! element( skol10,
% 2.97/3.37 the_carrier( skol8 ) ), ! element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ), ! in( skol10, interior( skol8, skol9 ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 factor: (20359) {G2,W21,D4,L6,V0,M6} { ! in( skol10, skol9 ), ! top_str(
% 2.97/3.37 skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), !
% 2.97/3.37 topological_space( skol8 ), ! element( skol10, the_carrier( skol8 ) ), !
% 2.97/3.37 element( skol9, powerset( the_carrier( skol8 ) ) ) }.
% 2.97/3.37 parent0[1, 4]: (20358) {G2,W23,D4,L7,V0,M7} { ! in( skol10, skol9 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), !
% 2.97/3.37 topological_space( skol8 ), ! top_str( skol8 ), ! element( skol10,
% 2.97/3.37 the_carrier( skol8 ) ), ! element( skol9, powerset( the_carrier( skol8 )
% 2.97/3.37 ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20362) {G1,W19,D4,L5,V0,M5} { ! in( skol10, skol9 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), !
% 2.97/3.37 element( skol10, the_carrier( skol8 ) ), ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ) }.
% 2.97/3.37 parent0[3]: (20359) {G2,W21,D4,L6,V0,M6} { ! in( skol10, skol9 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), !
% 2.97/3.37 topological_space( skol8 ), ! element( skol10, the_carrier( skol8 ) ), !
% 2.97/3.37 element( skol9, powerset( the_carrier( skol8 ) ) ) }.
% 2.97/3.37 parent1[0]: (92) {G0,W2,D2,L1,V0,M1} I { topological_space( skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 factor: (20363) {G1,W14,D4,L4,V0,M4} { ! in( skol10, skol9 ), ! top_str(
% 2.97/3.37 skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), ! element
% 2.97/3.37 ( skol10, the_carrier( skol8 ) ) }.
% 2.97/3.37 parent0[2, 4]: (20362) {G1,W19,D4,L5,V0,M5} { ! in( skol10, skol9 ), !
% 2.97/3.37 top_str( skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), !
% 2.97/3.37 element( skol10, the_carrier( skol8 ) ), ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (7295) {G3,W14,D4,L4,V0,M4} S(416);d(843);r(92) { ! top_str(
% 2.97/3.37 skol8 ), ! element( skol10, the_carrier( skol8 ) ), ! element( skol9,
% 2.97/3.37 powerset( the_carrier( skol8 ) ) ), ! in( skol10, skol9 ) }.
% 2.97/3.37 parent0: (20363) {G1,W14,D4,L4,V0,M4} { ! in( skol10, skol9 ), ! top_str(
% 2.97/3.37 skol8 ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), ! element
% 2.97/3.37 ( skol10, the_carrier( skol8 ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 0 ==> 3
% 2.97/3.37 1 ==> 0
% 2.97/3.37 2 ==> 2
% 2.97/3.37 3 ==> 1
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20364) {G1,W12,D4,L3,V0,M3} { ! element( skol10, the_carrier
% 2.97/3.37 ( skol8 ) ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), ! in(
% 2.97/3.37 skol10, skol9 ) }.
% 2.97/3.37 parent0[0]: (7295) {G3,W14,D4,L4,V0,M4} S(416);d(843);r(92) { ! top_str(
% 2.97/3.37 skol8 ), ! element( skol10, the_carrier( skol8 ) ), ! element( skol9,
% 2.97/3.37 powerset( the_carrier( skol8 ) ) ), ! in( skol10, skol9 ) }.
% 2.97/3.37 parent1[0]: (93) {G0,W2,D2,L1,V0,M1} I { top_str( skol8 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20365) {G2,W11,D4,L3,V0,M3} { ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ), ! in( skol10, skol9 ), ! in( skol10, skol9 )
% 2.97/3.37 }.
% 2.97/3.37 parent0[0]: (20364) {G1,W12,D4,L3,V0,M3} { ! element( skol10, the_carrier
% 2.97/3.37 ( skol8 ) ), ! element( skol9, powerset( the_carrier( skol8 ) ) ), ! in(
% 2.97/3.37 skol10, skol9 ) }.
% 2.97/3.37 parent1[1]: (862) {G1,W7,D3,L2,V1,M2} R(94,88) { ! in( X, skol9 ), element
% 2.97/3.37 ( X, the_carrier( skol8 ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 X := skol10
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 factor: (20366) {G2,W8,D4,L2,V0,M2} { ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ), ! in( skol10, skol9 ) }.
% 2.97/3.37 parent0[1, 2]: (20365) {G2,W11,D4,L3,V0,M3} { ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ), ! in( skol10, skol9 ), ! in( skol10, skol9 )
% 2.97/3.37 }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20367) {G1,W3,D2,L1,V0,M1} { ! in( skol10, skol9 ) }.
% 2.97/3.37 parent0[0]: (20366) {G2,W8,D4,L2,V0,M2} { ! element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ), ! in( skol10, skol9 ) }.
% 2.97/3.37 parent1[0]: (94) {G0,W5,D4,L1,V0,M1} I { element( skol9, powerset(
% 2.97/3.37 the_carrier( skol8 ) ) ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 resolution: (20368) {G1,W0,D0,L0,V0,M0} { }.
% 2.97/3.37 parent0[0]: (20367) {G1,W3,D2,L1,V0,M1} { ! in( skol10, skol9 ) }.
% 2.97/3.37 parent1[0]: (97) {G0,W3,D2,L1,V0,M1} I { in( skol10, skol9 ) }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 substitution1:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 subsumption: (20108) {G4,W0,D0,L0,V0,M0} S(7295);r(93);r(862);r(94);r(97)
% 2.97/3.37 { }.
% 2.97/3.37 parent0: (20368) {G1,W0,D0,L0,V0,M0} { }.
% 2.97/3.37 substitution0:
% 2.97/3.37 end
% 2.97/3.37 permutation0:
% 2.97/3.37 end
% 2.97/3.37
% 2.97/3.37 Proof check complete!
% 2.97/3.37
% 2.97/3.37 Memory use:
% 2.97/3.37
% 2.97/3.37 space for terms: 229839
% 2.97/3.37 space for clauses: 822629
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 clauses generated: 86988
% 2.97/3.37 clauses kept: 20109
% 2.97/3.37 clauses selected: 1873
% 2.97/3.37 clauses deleted: 349
% 2.97/3.37 clauses inuse deleted: 30
% 2.97/3.37
% 2.97/3.37 subsentry: 266434
% 2.97/3.37 literals s-matched: 191998
% 2.97/3.37 literals matched: 175375
% 2.97/3.37 full subsumption: 16441
% 2.97/3.37
% 2.97/3.37 checksum: 1543007317
% 2.97/3.37
% 2.97/3.37
% 2.97/3.37 Bliksem ended
%------------------------------------------------------------------------------