%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:12:25 EDT 2022
% Result : Theorem 0.71s 1.08s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 20 10:44:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08
% 0.71/1.08 { ! top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), !
% 0.71/1.08 closed_subset( Y, X ), open_subset( subset_difference( the_carrier( X ),
% 0.71/1.08 cast_as_carrier_subset( X ), Y ), X ) }.
% 0.71/1.08 { ! top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), !
% 0.71/1.08 open_subset( subset_difference( the_carrier( X ), cast_as_carrier_subset
% 0.71/1.08 ( X ), Y ), X ), closed_subset( Y, X ) }.
% 0.71/1.08 { && }.
% 0.71/1.08 { ! one_sorted_str( X ), element( cast_as_carrier_subset( X ), powerset(
% 0.71/1.08 the_carrier( X ) ) ) }.
% 0.71/1.08 { ! element( Y, powerset( X ) ), element( subset_complement( X, Y ),
% 0.71/1.08 powerset( X ) ) }.
% 0.71/1.08 { && }.
% 0.71/1.08 { ! element( Y, powerset( X ) ), ! element( Z, powerset( X ) ), element(
% 0.71/1.08 subset_difference( X, Y, Z ), powerset( X ) ) }.
% 0.71/1.08 { ! top_str( X ), one_sorted_str( X ) }.
% 0.71/1.08 { && }.
% 0.71/1.08 { && }.
% 0.71/1.08 { && }.
% 0.71/1.08 { top_str( skol1 ) }.
% 0.71/1.08 { one_sorted_str( skol2 ) }.
% 0.71/1.08 { element( skol3( X ), X ) }.
% 0.71/1.08 { ! element( Y, powerset( X ) ), subset_complement( X, subset_complement( X
% 0.71/1.08 , Y ) ) = Y }.
% 0.71/1.08 { ! element( Y, powerset( X ) ), ! element( Z, powerset( X ) ),
% 0.71/1.08 subset_difference( X, Y, Z ) = set_difference( Y, Z ) }.
% 0.71/1.08 { subset( X, X ) }.
% 0.71/1.08 { ! one_sorted_str( X ), ! element( Y, powerset( the_carrier( X ) ) ),
% 0.71/1.08 subset_complement( the_carrier( X ), Y ) = subset_difference( the_carrier
% 0.71/1.08 ( X ), cast_as_carrier_subset( X ), Y ) }.
% 0.71/1.08 { top_str( skol4 ) }.
% 0.71/1.08 { element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.08 { alpha1( skol4, skol5 ), open_subset( subset_complement( the_carrier(
% 0.71/1.08 skol4 ), skol5 ), skol4 ) }.
% 0.71/1.08 { alpha1( skol4, skol5 ), ! closed_subset( skol5, skol4 ) }.
% 0.71/1.08 { ! alpha1( X, Y ), closed_subset( Y, X ) }.
% 0.71/1.08 { ! alpha1( X, Y ), ! open_subset( subset_complement( the_carrier( X ), Y )
% 0.71/1.08 , X ) }.
% 0.71/1.08 { ! closed_subset( Y, X ), open_subset( subset_complement( the_carrier( X )
% 0.71/1.08 , Y ), X ), alpha1( X, Y ) }.
% 0.71/1.08 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.71/1.08 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.71/1.08
% 0.71/1.08 percentage equality = 0.063830, percentage horn = 0.913043
% 0.71/1.08 This is a problem with some equality
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Options Used:
% 0.71/1.08
% 0.71/1.08 useres = 1
% 0.71/1.08 useparamod = 1
% 0.71/1.08 useeqrefl = 1
% 0.71/1.08 useeqfact = 1
% 0.71/1.08 usefactor = 1
% 0.71/1.08 usesimpsplitting = 0
% 0.71/1.08 usesimpdemod = 5
% 0.71/1.08 usesimpres = 3
% 0.71/1.08
% 0.71/1.08 resimpinuse = 1000
% 0.71/1.08 resimpclauses = 20000
% 0.71/1.08 substype = eqrewr
% 0.71/1.08 backwardsubs = 1
% 0.71/1.08 selectoldest = 5
% 0.71/1.08
% 0.71/1.08 litorderings [0] = split
% 0.71/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.08
% 0.71/1.08 termordering = kbo
% 0.71/1.08
% 0.71/1.08 litapriori = 0
% 0.71/1.08 termapriori = 1
% 0.71/1.08 litaposteriori = 0
% 0.71/1.08 termaposteriori = 0
% 0.71/1.08 demodaposteriori = 0
% 0.71/1.08 ordereqreflfact = 0
% 0.71/1.08
% 0.71/1.08 litselect = negord
% 0.71/1.08
% 0.71/1.08 maxweight = 15
% 0.71/1.08 maxdepth = 30000
% 0.71/1.08 maxlength = 115
% 0.71/1.08 maxnrvars = 195
% 0.71/1.08 excuselevel = 1
% 0.71/1.08 increasemaxweight = 1
% 0.71/1.08
% 0.71/1.08 maxselected = 10000000
% 0.71/1.08 maxnrclauses = 10000000
% 0.71/1.08
% 0.71/1.08 showgenerated = 0
% 0.71/1.08 showkept = 0
% 0.71/1.08 showselected = 0
% 0.71/1.08 showdeleted = 0
% 0.71/1.08 showresimp = 1
% 0.71/1.08 showstatus = 2000
% 0.71/1.08
% 0.71/1.08 prologoutput = 0
% 0.71/1.08 nrgoals = 5000000
% 0.71/1.08 totalproof = 1
% 0.71/1.08
% 0.71/1.08 Symbols occurring in the translation:
% 0.71/1.08
% 0.71/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.08 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.08 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.71/1.08 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.71/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 top_str [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.08 the_carrier [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.08 powerset [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.08 element [40, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.08 closed_subset [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.08 cast_as_carrier_subset [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.08 subset_difference [43, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.71/1.08 open_subset [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.71/1.08 one_sorted_str [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.08 subset_complement [46, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.71/1.08 set_difference [48, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.71/1.08 subset [49, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.08 alpha1 [50, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.71/1.08 skol1 [51, 0] (w:1, o:9, a:1, s:1, b:1),
% 0.71/1.08 skol2 [52, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.71/1.08 skol3 [53, 1] (w:1, o:18, a:1, s:1, b:1),
% 0.71/1.08 skol4 [54, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.71/1.08 skol5 [55, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Starting Search:
% 0.71/1.08
% 0.71/1.08 *** allocated 15000 integers for clauses
% 0.71/1.08
% 0.71/1.08 Bliksems!, er is een bewijs:
% 0.71/1.08 % SZS status Theorem
% 0.71/1.08 % SZS output start Refutation
% 0.71/1.08
% 0.71/1.08 (0) {G0,W18,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y, powerset(
% 0.71/1.08 the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.71/1.08 subset_difference( the_carrier( X ), cast_as_carrier_subset( X ), Y ), X
% 0.71/1.08 ) }.
% 0.71/1.08 (1) {G0,W18,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y, powerset(
% 0.71/1.08 the_carrier( X ) ) ), ! open_subset( subset_difference( the_carrier( X )
% 0.71/1.08 , cast_as_carrier_subset( X ), Y ), X ), closed_subset( Y, X ) }.
% 0.71/1.08 (6) {G0,W4,D2,L2,V1,M2} I { ! top_str( X ), one_sorted_str( X ) }.
% 0.71/1.08 (13) {G0,W18,D4,L3,V2,M3} I { ! one_sorted_str( X ), ! element( Y, powerset
% 0.71/1.08 ( the_carrier( X ) ) ), subset_difference( the_carrier( X ),
% 0.71/1.08 cast_as_carrier_subset( X ), Y ) ==> subset_complement( the_carrier( X )
% 0.71/1.08 , Y ) }.
% 0.71/1.08 (14) {G0,W2,D2,L1,V0,M1} I { top_str( skol4 ) }.
% 0.71/1.08 (15) {G0,W5,D4,L1,V0,M1} I { element( skol5, powerset( the_carrier( skol4 )
% 0.71/1.08 ) ) }.
% 0.71/1.08 (16) {G0,W9,D4,L2,V0,M2} I { alpha1( skol4, skol5 ), open_subset(
% 0.71/1.08 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.71/1.08 (17) {G0,W6,D2,L2,V0,M2} I { alpha1( skol4, skol5 ), ! closed_subset( skol5
% 0.71/1.08 , skol4 ) }.
% 0.71/1.08 (18) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), closed_subset( Y, X ) }.
% 0.71/1.08 (19) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), ! open_subset(
% 0.71/1.08 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.71/1.08 (111) {G1,W18,D4,L3,V2,M3} R(13,6) { ! element( X, powerset( the_carrier( Y
% 0.71/1.08 ) ) ), subset_difference( the_carrier( Y ), cast_as_carrier_subset( Y )
% 0.71/1.08 , X ) ==> subset_complement( the_carrier( Y ), X ), ! top_str( Y ) }.
% 0.71/1.08 (121) {G1,W9,D4,L2,V0,M2} R(16,18) { open_subset( subset_complement(
% 0.71/1.08 the_carrier( skol4 ), skol5 ), skol4 ), closed_subset( skol5, skol4 ) }.
% 0.71/1.09 (125) {G1,W9,D4,L2,V0,M2} R(19,17) { ! open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! closed_subset( skol5, skol4 )
% 0.71/1.09 }.
% 0.71/1.09 (134) {G2,W11,D4,L2,V0,M2} R(125,1);d(111);f;r(14) { ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! element(
% 0.71/1.09 skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 (135) {G3,W7,D4,L2,V0,M2} R(121,0);d(111);f;r(134) { ! top_str( skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 (137) {G4,W0,D0,L0,V0,M0} S(135);r(14);r(15) { }.
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Unprocessed initial clauses:
% 0.71/1.09
% 0.71/1.09 (139) {G0,W18,D4,L4,V2,M4} { ! top_str( X ), ! element( Y, powerset(
% 0.71/1.09 the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.71/1.09 subset_difference( the_carrier( X ), cast_as_carrier_subset( X ), Y ), X
% 0.71/1.09 ) }.
% 0.71/1.09 (140) {G0,W18,D4,L4,V2,M4} { ! top_str( X ), ! element( Y, powerset(
% 0.71/1.09 the_carrier( X ) ) ), ! open_subset( subset_difference( the_carrier( X )
% 0.71/1.09 , cast_as_carrier_subset( X ), Y ), X ), closed_subset( Y, X ) }.
% 0.71/1.09 (141) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.09 (142) {G0,W8,D4,L2,V1,M2} { ! one_sorted_str( X ), element(
% 0.71/1.09 cast_as_carrier_subset( X ), powerset( the_carrier( X ) ) ) }.
% 0.71/1.09 (143) {G0,W10,D3,L2,V2,M2} { ! element( Y, powerset( X ) ), element(
% 0.71/1.09 subset_complement( X, Y ), powerset( X ) ) }.
% 0.71/1.09 (144) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.09 (145) {G0,W15,D3,L3,V3,M3} { ! element( Y, powerset( X ) ), ! element( Z,
% 0.71/1.09 powerset( X ) ), element( subset_difference( X, Y, Z ), powerset( X ) )
% 0.71/1.09 }.
% 0.71/1.09 (146) {G0,W4,D2,L2,V1,M2} { ! top_str( X ), one_sorted_str( X ) }.
% 0.71/1.09 (147) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.09 (148) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.09 (149) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.09 (150) {G0,W2,D2,L1,V0,M1} { top_str( skol1 ) }.
% 0.71/1.09 (151) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol2 ) }.
% 0.71/1.09 (152) {G0,W4,D3,L1,V1,M1} { element( skol3( X ), X ) }.
% 0.71/1.09 (153) {G0,W11,D4,L2,V2,M2} { ! element( Y, powerset( X ) ),
% 0.71/1.09 subset_complement( X, subset_complement( X, Y ) ) = Y }.
% 0.71/1.09 (154) {G0,W16,D3,L3,V3,M3} { ! element( Y, powerset( X ) ), ! element( Z,
% 0.71/1.09 powerset( X ) ), subset_difference( X, Y, Z ) = set_difference( Y, Z )
% 0.71/1.09 }.
% 0.71/1.09 (155) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.71/1.09 (156) {G0,W18,D4,L3,V2,M3} { ! one_sorted_str( X ), ! element( Y, powerset
% 0.71/1.09 ( the_carrier( X ) ) ), subset_complement( the_carrier( X ), Y ) =
% 0.71/1.09 subset_difference( the_carrier( X ), cast_as_carrier_subset( X ), Y ) }.
% 0.71/1.09 (157) {G0,W2,D2,L1,V0,M1} { top_str( skol4 ) }.
% 0.71/1.09 (158) {G0,W5,D4,L1,V0,M1} { element( skol5, powerset( the_carrier( skol4 )
% 0.71/1.09 ) ) }.
% 0.71/1.09 (159) {G0,W9,D4,L2,V0,M2} { alpha1( skol4, skol5 ), open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.71/1.09 (160) {G0,W6,D2,L2,V0,M2} { alpha1( skol4, skol5 ), ! closed_subset( skol5
% 0.71/1.09 , skol4 ) }.
% 0.71/1.09 (161) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), closed_subset( Y, X ) }.
% 0.71/1.09 (162) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.71/1.09 (163) {G0,W12,D4,L3,V2,M3} { ! closed_subset( Y, X ), open_subset(
% 0.71/1.09 subset_complement( the_carrier( X ), Y ), X ), alpha1( X, Y ) }.
% 0.71/1.09 (164) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y )
% 0.71/1.09 }.
% 0.71/1.09 (165) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y ) )
% 0.71/1.09 }.
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Total Proof:
% 0.71/1.09
% 0.71/1.09 subsumption: (0) {G0,W18,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y,
% 0.71/1.09 powerset( the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.71/1.09 subset_difference( the_carrier( X ), cast_as_carrier_subset( X ), Y ), X
% 0.71/1.09 ) }.
% 0.71/1.09 parent0: (139) {G0,W18,D4,L4,V2,M4} { ! top_str( X ), ! element( Y,
% 0.71/1.09 powerset( the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.71/1.09 subset_difference( the_carrier( X ), cast_as_carrier_subset( X ), Y ), X
% 0.71/1.09 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 2 ==> 2
% 0.71/1.09 3 ==> 3
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (1) {G0,W18,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y,
% 0.71/1.09 powerset( the_carrier( X ) ) ), ! open_subset( subset_difference(
% 0.71/1.09 the_carrier( X ), cast_as_carrier_subset( X ), Y ), X ), closed_subset( Y
% 0.71/1.09 , X ) }.
% 0.71/1.09 parent0: (140) {G0,W18,D4,L4,V2,M4} { ! top_str( X ), ! element( Y,
% 0.71/1.09 powerset( the_carrier( X ) ) ), ! open_subset( subset_difference(
% 0.71/1.09 the_carrier( X ), cast_as_carrier_subset( X ), Y ), X ), closed_subset( Y
% 0.71/1.09 , X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 2 ==> 2
% 0.71/1.09 3 ==> 3
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (6) {G0,W4,D2,L2,V1,M2} I { ! top_str( X ), one_sorted_str( X
% 0.71/1.09 ) }.
% 0.71/1.09 parent0: (146) {G0,W4,D2,L2,V1,M2} { ! top_str( X ), one_sorted_str( X )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (172) {G0,W18,D4,L3,V2,M3} { subset_difference( the_carrier( X ),
% 0.71/1.09 cast_as_carrier_subset( X ), Y ) = subset_complement( the_carrier( X ), Y
% 0.71/1.09 ), ! one_sorted_str( X ), ! element( Y, powerset( the_carrier( X ) ) )
% 0.71/1.09 }.
% 0.71/1.09 parent0[2]: (156) {G0,W18,D4,L3,V2,M3} { ! one_sorted_str( X ), ! element
% 0.71/1.09 ( Y, powerset( the_carrier( X ) ) ), subset_complement( the_carrier( X )
% 0.71/1.09 , Y ) = subset_difference( the_carrier( X ), cast_as_carrier_subset( X )
% 0.71/1.09 , Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (13) {G0,W18,D4,L3,V2,M3} I { ! one_sorted_str( X ), ! element
% 0.71/1.09 ( Y, powerset( the_carrier( X ) ) ), subset_difference( the_carrier( X )
% 0.71/1.09 , cast_as_carrier_subset( X ), Y ) ==> subset_complement( the_carrier( X
% 0.71/1.09 ), Y ) }.
% 0.71/1.09 parent0: (172) {G0,W18,D4,L3,V2,M3} { subset_difference( the_carrier( X )
% 0.71/1.09 , cast_as_carrier_subset( X ), Y ) = subset_complement( the_carrier( X )
% 0.71/1.09 , Y ), ! one_sorted_str( X ), ! element( Y, powerset( the_carrier( X ) )
% 0.71/1.09 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 2
% 0.71/1.09 1 ==> 0
% 0.71/1.09 2 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (14) {G0,W2,D2,L1,V0,M1} I { top_str( skol4 ) }.
% 0.71/1.09 parent0: (157) {G0,W2,D2,L1,V0,M1} { top_str( skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (15) {G0,W5,D4,L1,V0,M1} I { element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0: (158) {G0,W5,D4,L1,V0,M1} { element( skol5, powerset( the_carrier
% 0.71/1.09 ( skol4 ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (16) {G0,W9,D4,L2,V0,M2} I { alpha1( skol4, skol5 ),
% 0.71/1.09 open_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.71/1.09 }.
% 0.71/1.09 parent0: (159) {G0,W9,D4,L2,V0,M2} { alpha1( skol4, skol5 ), open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (17) {G0,W6,D2,L2,V0,M2} I { alpha1( skol4, skol5 ), !
% 0.71/1.09 closed_subset( skol5, skol4 ) }.
% 0.71/1.09 parent0: (160) {G0,W6,D2,L2,V0,M2} { alpha1( skol4, skol5 ), !
% 0.71/1.09 closed_subset( skol5, skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (18) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), closed_subset(
% 0.71/1.09 Y, X ) }.
% 0.71/1.09 parent0: (161) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), closed_subset( Y, X
% 0.71/1.09 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (19) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.71/1.09 parent0: (162) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (209) {G0,W18,D4,L3,V2,M3} { subset_complement( the_carrier( X ),
% 0.71/1.09 Y ) ==> subset_difference( the_carrier( X ), cast_as_carrier_subset( X )
% 0.71/1.09 , Y ), ! one_sorted_str( X ), ! element( Y, powerset( the_carrier( X ) )
% 0.71/1.09 ) }.
% 0.71/1.09 parent0[2]: (13) {G0,W18,D4,L3,V2,M3} I { ! one_sorted_str( X ), ! element
% 0.71/1.09 ( Y, powerset( the_carrier( X ) ) ), subset_difference( the_carrier( X )
% 0.71/1.09 , cast_as_carrier_subset( X ), Y ) ==> subset_complement( the_carrier( X
% 0.71/1.09 ), Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (210) {G1,W18,D4,L3,V2,M3} { subset_complement( the_carrier( X
% 0.71/1.09 ), Y ) ==> subset_difference( the_carrier( X ), cast_as_carrier_subset(
% 0.71/1.09 X ), Y ), ! element( Y, powerset( the_carrier( X ) ) ), ! top_str( X )
% 0.71/1.09 }.
% 0.71/1.09 parent0[1]: (209) {G0,W18,D4,L3,V2,M3} { subset_complement( the_carrier( X
% 0.71/1.09 ), Y ) ==> subset_difference( the_carrier( X ), cast_as_carrier_subset(
% 0.71/1.09 X ), Y ), ! one_sorted_str( X ), ! element( Y, powerset( the_carrier( X )
% 0.71/1.09 ) ) }.
% 0.71/1.09 parent1[1]: (6) {G0,W4,D2,L2,V1,M2} I { ! top_str( X ), one_sorted_str( X )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (211) {G1,W18,D4,L3,V2,M3} { subset_difference( the_carrier( X ),
% 0.71/1.09 cast_as_carrier_subset( X ), Y ) ==> subset_complement( the_carrier( X )
% 0.71/1.09 , Y ), ! element( Y, powerset( the_carrier( X ) ) ), ! top_str( X ) }.
% 0.71/1.09 parent0[0]: (210) {G1,W18,D4,L3,V2,M3} { subset_complement( the_carrier( X
% 0.71/1.09 ), Y ) ==> subset_difference( the_carrier( X ), cast_as_carrier_subset(
% 0.71/1.09 X ), Y ), ! element( Y, powerset( the_carrier( X ) ) ), ! top_str( X )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (111) {G1,W18,D4,L3,V2,M3} R(13,6) { ! element( X, powerset(
% 0.71/1.09 the_carrier( Y ) ) ), subset_difference( the_carrier( Y ),
% 0.71/1.09 cast_as_carrier_subset( Y ), X ) ==> subset_complement( the_carrier( Y )
% 0.71/1.09 , X ), ! top_str( Y ) }.
% 0.71/1.09 parent0: (211) {G1,W18,D4,L3,V2,M3} { subset_difference( the_carrier( X )
% 0.71/1.09 , cast_as_carrier_subset( X ), Y ) ==> subset_complement( the_carrier( X
% 0.71/1.09 ), Y ), ! element( Y, powerset( the_carrier( X ) ) ), ! top_str( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 1
% 0.71/1.09 1 ==> 0
% 0.71/1.09 2 ==> 2
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (212) {G1,W9,D4,L2,V0,M2} { closed_subset( skol5, skol4 ),
% 0.71/1.09 open_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (18) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), closed_subset( Y
% 0.71/1.09 , X ) }.
% 0.71/1.09 parent1[0]: (16) {G0,W9,D4,L2,V0,M2} I { alpha1( skol4, skol5 ),
% 0.71/1.09 open_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol4
% 0.71/1.09 Y := skol5
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (121) {G1,W9,D4,L2,V0,M2} R(16,18) { open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), closed_subset
% 0.71/1.09 ( skol5, skol4 ) }.
% 0.71/1.09 parent0: (212) {G1,W9,D4,L2,V0,M2} { closed_subset( skol5, skol4 ),
% 0.71/1.09 open_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 1
% 0.71/1.09 1 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (213) {G1,W9,D4,L2,V0,M2} { ! open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! closed_subset( skol5, skol4 )
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (19) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.71/1.09 parent1[0]: (17) {G0,W6,D2,L2,V0,M2} I { alpha1( skol4, skol5 ), !
% 0.71/1.09 closed_subset( skol5, skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol4
% 0.71/1.09 Y := skol5
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (125) {G1,W9,D4,L2,V0,M2} R(19,17) { ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), !
% 0.71/1.09 closed_subset( skol5, skol4 ) }.
% 0.71/1.09 parent0: (213) {G1,W9,D4,L2,V0,M2} { ! open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! closed_subset( skol5, skol4 )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (215) {G1,W21,D4,L4,V0,M4} { ! open_subset( subset_complement
% 0.71/1.09 ( the_carrier( skol4 ), skol5 ), skol4 ), ! top_str( skol4 ), ! element(
% 0.71/1.09 skol5, powerset( the_carrier( skol4 ) ) ), ! open_subset(
% 0.71/1.09 subset_difference( the_carrier( skol4 ), cast_as_carrier_subset( skol4 )
% 0.71/1.09 , skol5 ), skol4 ) }.
% 0.71/1.09 parent0[1]: (125) {G1,W9,D4,L2,V0,M2} R(19,17) { ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), !
% 0.71/1.09 closed_subset( skol5, skol4 ) }.
% 0.71/1.09 parent1[3]: (1) {G0,W18,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y,
% 0.71/1.09 powerset( the_carrier( X ) ) ), ! open_subset( subset_difference(
% 0.71/1.09 the_carrier( X ), cast_as_carrier_subset( X ), Y ), X ), closed_subset( Y
% 0.71/1.09 , X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := skol4
% 0.71/1.09 Y := skol5
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (216) {G2,W26,D4,L6,V0,M6} { ! open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! top_str(
% 0.71/1.09 skol4 ), ! element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0[1]: (111) {G1,W18,D4,L3,V2,M3} R(13,6) { ! element( X, powerset(
% 0.71/1.09 the_carrier( Y ) ) ), subset_difference( the_carrier( Y ),
% 0.71/1.09 cast_as_carrier_subset( Y ), X ) ==> subset_complement( the_carrier( Y )
% 0.71/1.09 , X ), ! top_str( Y ) }.
% 0.71/1.09 parent1[3; 2]: (215) {G1,W21,D4,L4,V0,M4} { ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! top_str(
% 0.71/1.09 skol4 ), ! element( skol5, powerset( the_carrier( skol4 ) ) ), !
% 0.71/1.09 open_subset( subset_difference( the_carrier( skol4 ),
% 0.71/1.09 cast_as_carrier_subset( skol4 ), skol5 ), skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol5
% 0.71/1.09 Y := skol4
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 factor: (217) {G2,W20,D4,L5,V0,M5} { ! open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0[0, 3]: (216) {G2,W26,D4,L6,V0,M6} { ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! element(
% 0.71/1.09 skol5, powerset( the_carrier( skol4 ) ) ), ! top_str( skol4 ), !
% 0.71/1.09 open_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), !
% 0.71/1.09 top_str( skol4 ), ! element( skol5, powerset( the_carrier( skol4 ) ) )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 factor: (218) {G2,W15,D4,L4,V0,M4} { ! open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ) }.
% 0.71/1.09 parent0[1, 4]: (217) {G2,W20,D4,L5,V0,M5} { ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! element(
% 0.71/1.09 skol5, powerset( the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str
% 0.71/1.09 ( skol4 ), ! element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 factor: (219) {G2,W13,D4,L3,V0,M3} { ! open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ) }.
% 0.71/1.09 parent0[2, 3]: (218) {G2,W15,D4,L4,V0,M4} { ! open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! element(
% 0.71/1.09 skol5, powerset( the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str
% 0.71/1.09 ( skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (226) {G1,W11,D4,L2,V0,M2} { ! open_subset( subset_complement
% 0.71/1.09 ( the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0[2]: (219) {G2,W13,D4,L3,V0,M3} { ! open_subset( subset_complement
% 0.71/1.09 ( the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ) }.
% 0.71/1.09 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { top_str( skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (134) {G2,W11,D4,L2,V0,M2} R(125,1);d(111);f;r(14) { !
% 0.71/1.09 open_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0: (226) {G1,W11,D4,L2,V0,M2} { ! open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (228) {G1,W21,D4,L4,V0,M4} { ! top_str( skol4 ), ! element(
% 0.71/1.09 skol5, powerset( the_carrier( skol4 ) ) ), open_subset( subset_difference
% 0.71/1.09 ( the_carrier( skol4 ), cast_as_carrier_subset( skol4 ), skol5 ), skol4 )
% 0.71/1.09 , open_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.71/1.09 }.
% 0.71/1.09 parent0[2]: (0) {G0,W18,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y,
% 0.71/1.09 powerset( the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.71/1.09 subset_difference( the_carrier( X ), cast_as_carrier_subset( X ), Y ), X
% 0.71/1.09 ) }.
% 0.71/1.09 parent1[1]: (121) {G1,W9,D4,L2,V0,M2} R(16,18) { open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), closed_subset
% 0.71/1.09 ( skol5, skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol4
% 0.71/1.09 Y := skol5
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (229) {G2,W26,D4,L6,V0,M6} { open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ), open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.71/1.09 parent0[1]: (111) {G1,W18,D4,L3,V2,M3} R(13,6) { ! element( X, powerset(
% 0.71/1.09 the_carrier( Y ) ) ), subset_difference( the_carrier( Y ),
% 0.71/1.09 cast_as_carrier_subset( Y ), X ) ==> subset_complement( the_carrier( Y )
% 0.71/1.09 , X ), ! top_str( Y ) }.
% 0.71/1.09 parent1[2; 1]: (228) {G1,W21,D4,L4,V0,M4} { ! top_str( skol4 ), ! element
% 0.71/1.09 ( skol5, powerset( the_carrier( skol4 ) ) ), open_subset(
% 0.71/1.09 subset_difference( the_carrier( skol4 ), cast_as_carrier_subset( skol4 )
% 0.71/1.09 , skol5 ), skol4 ), open_subset( subset_complement( the_carrier( skol4 )
% 0.71/1.09 , skol5 ), skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol5
% 0.71/1.09 Y := skol4
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 factor: (230) {G2,W20,D4,L5,V0,M5} { open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0[0, 5]: (229) {G2,W26,D4,L6,V0,M6} { open_subset( subset_complement
% 0.71/1.09 ( the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ), open_subset(
% 0.71/1.09 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (237) {G3,W19,D4,L5,V0,M5} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! element( skol5, powerset( the_carrier( skol4
% 0.71/1.09 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), ! element( skol5,
% 0.71/1.09 powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0[0]: (134) {G2,W11,D4,L2,V0,M2} R(125,1);d(111);f;r(14) { !
% 0.71/1.09 open_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent1[0]: (230) {G2,W20,D4,L5,V0,M5} { open_subset( subset_complement(
% 0.71/1.09 the_carrier( skol4 ), skol5 ), skol4 ), ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 factor: (238) {G3,W14,D4,L4,V0,M4} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0[0, 1]: (237) {G3,W19,D4,L5,V0,M5} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! element( skol5, powerset( the_carrier( skol4
% 0.71/1.09 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), ! element( skol5,
% 0.71/1.09 powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 factor: (239) {G3,W9,D4,L3,V0,M3} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ) }.
% 0.71/1.09 parent0[0, 3]: (238) {G3,W14,D4,L4,V0,M4} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ), !
% 0.71/1.09 element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 factor: (240) {G3,W7,D4,L2,V0,M2} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ) }.
% 0.71/1.09 parent0[1, 2]: (239) {G3,W9,D4,L3,V0,M3} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ), ! top_str( skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (135) {G3,W7,D4,L2,V0,M2} R(121,0);d(111);f;r(134) { ! top_str
% 0.71/1.09 ( skol4 ), ! element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0: (240) {G3,W7,D4,L2,V0,M2} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ), ! top_str( skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 1
% 0.71/1.09 1 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (241) {G1,W5,D4,L1,V0,M1} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent0[0]: (135) {G3,W7,D4,L2,V0,M2} R(121,0);d(111);f;r(134) { ! top_str
% 0.71/1.09 ( skol4 ), ! element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { top_str( skol4 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (242) {G1,W0,D0,L0,V0,M0} { }.
% 0.71/1.09 parent0[0]: (241) {G1,W5,D4,L1,V0,M1} { ! element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ) }.
% 0.71/1.09 parent1[0]: (15) {G0,W5,D4,L1,V0,M1} I { element( skol5, powerset(
% 0.71/1.09 the_carrier( skol4 ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (137) {G4,W0,D0,L0,V0,M0} S(135);r(14);r(15) { }.
% 0.71/1.09 parent0: (242) {G1,W0,D0,L0,V0,M0} { }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 Proof check complete!
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 2212
% 0.71/1.09 space for clauses: 10916
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 319
% 0.71/1.09 clauses kept: 138
% 0.71/1.09 clauses selected: 54
% 0.71/1.09 clauses deleted: 3
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 297
% 0.71/1.09 literals s-matched: 206
% 0.71/1.09 literals matched: 206
% 0.71/1.09 full subsumption: 23
% 0.71/1.09
% 0.71/1.09 checksum: -11172632
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------