TSTP Solution File: SEU320+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:12:26 EDT 2022
% Result : Theorem 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 20 11:20:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { && }.
% 0.70/1.10 { ! element( Y, powerset( X ) ), element( subset_complement( X, Y ),
% 0.70/1.10 powerset( X ) ) }.
% 0.70/1.10 { ! top_str( X ), one_sorted_str( X ) }.
% 0.70/1.10 { && }.
% 0.70/1.10 { && }.
% 0.70/1.10 { && }.
% 0.70/1.10 { top_str( skol1 ) }.
% 0.70/1.10 { one_sorted_str( skol2 ) }.
% 0.70/1.10 { element( skol3( X ), X ) }.
% 0.70/1.10 { ! element( Y, powerset( X ) ), subset_complement( X, subset_complement( X
% 0.70/1.10 , Y ) ) = Y }.
% 0.70/1.10 { subset( X, X ) }.
% 0.70/1.10 { ! top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), !
% 0.70/1.10 closed_subset( Y, X ), open_subset( subset_complement( the_carrier( X ),
% 0.70/1.10 Y ), X ) }.
% 0.70/1.10 { ! top_str( X ), ! element( Y, powerset( the_carrier( X ) ) ), !
% 0.70/1.10 open_subset( subset_complement( the_carrier( X ), Y ), X ), closed_subset
% 0.70/1.10 ( Y, X ) }.
% 0.70/1.10 { top_str( skol4 ) }.
% 0.70/1.10 { element( skol5, powerset( the_carrier( skol4 ) ) ) }.
% 0.70/1.10 { alpha1( skol4, skol5 ), closed_subset( subset_complement( the_carrier(
% 0.70/1.10 skol4 ), skol5 ), skol4 ) }.
% 0.70/1.10 { alpha1( skol4, skol5 ), ! open_subset( skol5, skol4 ) }.
% 0.70/1.10 { ! alpha1( X, Y ), open_subset( Y, X ) }.
% 0.70/1.10 { ! alpha1( X, Y ), ! closed_subset( subset_complement( the_carrier( X ), Y
% 0.70/1.10 ), X ) }.
% 0.70/1.10 { ! open_subset( Y, X ), closed_subset( subset_complement( the_carrier( X )
% 0.70/1.10 , Y ), X ), alpha1( X, Y ) }.
% 0.70/1.10 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.70/1.10 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.027778, percentage horn = 0.894737
% 0.70/1.10 This is a problem with some equality
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 1
% 0.70/1.10 useeqrefl = 1
% 0.70/1.10 useeqfact = 1
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 5
% 0.70/1.10 usesimpres = 3
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = eqrewr
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.10
% 0.70/1.10 termordering = kbo
% 0.70/1.10
% 0.70/1.10 litapriori = 0
% 0.70/1.10 termapriori = 1
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = negord
% 0.70/1.10
% 0.70/1.10 maxweight = 15
% 0.70/1.10 maxdepth = 30000
% 0.70/1.10 maxlength = 115
% 0.70/1.10 maxnrvars = 195
% 0.70/1.10 excuselevel = 1
% 0.70/1.10 increasemaxweight = 1
% 0.70/1.10
% 0.70/1.10 maxselected = 10000000
% 0.70/1.10 maxnrclauses = 10000000
% 0.70/1.10
% 0.70/1.10 showgenerated = 0
% 0.70/1.10 showkept = 0
% 0.70/1.10 showselected = 0
% 0.70/1.10 showdeleted = 0
% 0.70/1.10 showresimp = 1
% 0.70/1.10 showstatus = 2000
% 0.70/1.10
% 0.70/1.10 prologoutput = 0
% 0.70/1.10 nrgoals = 5000000
% 0.70/1.10 totalproof = 1
% 0.70/1.10
% 0.70/1.10 Symbols occurring in the translation:
% 0.70/1.10
% 0.70/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.10 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.70/1.10 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.70/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 powerset [37, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.70/1.10 element [38, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.10 subset_complement [39, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.10 top_str [40, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.10 one_sorted_str [41, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.70/1.10 subset [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.10 the_carrier [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.10 closed_subset [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.70/1.10 open_subset [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.70/1.10 alpha1 [46, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.70/1.10 skol1 [47, 0] (w:1, o:8, a:1, s:1, b:1),
% 0.70/1.10 skol2 [48, 0] (w:1, o:9, a:1, s:1, b:1),
% 0.70/1.10 skol3 [49, 1] (w:1, o:19, a:1, s:1, b:1),
% 0.70/1.10 skol4 [50, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.70/1.10 skol5 [51, 0] (w:1, o:11, a:1, s:1, b:1).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Starting Search:
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksems!, er is een bewijs:
% 0.70/1.10 % SZS status Theorem
% 0.70/1.10 % SZS output start Refutation
% 0.70/1.10
% 0.70/1.10 (1) {G0,W10,D3,L2,V2,M2} I { ! element( Y, powerset( X ) ), element(
% 0.70/1.10 subset_complement( X, Y ), powerset( X ) ) }.
% 0.70/1.10 (6) {G0,W11,D4,L2,V2,M2} I { ! element( Y, powerset( X ) ),
% 0.70/1.10 subset_complement( X, subset_complement( X, Y ) ) ==> Y }.
% 0.70/1.10 (8) {G0,W16,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y, powerset(
% 0.70/1.10 the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 (9) {G0,W16,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y, powerset(
% 0.70/1.10 the_carrier( X ) ) ), ! open_subset( subset_complement( the_carrier( X )
% 0.70/1.10 , Y ), X ), closed_subset( Y, X ) }.
% 0.70/1.10 (10) {G0,W2,D2,L1,V0,M1} I { top_str( skol4 ) }.
% 0.70/1.10 (11) {G0,W5,D4,L1,V0,M1} I { element( skol5, powerset( the_carrier( skol4 )
% 0.70/1.10 ) ) }.
% 0.70/1.10 (12) {G0,W9,D4,L2,V0,M2} I { alpha1( skol4, skol5 ), closed_subset(
% 0.70/1.10 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.70/1.10 (13) {G0,W6,D2,L2,V0,M2} I { alpha1( skol4, skol5 ), ! open_subset( skol5,
% 0.70/1.10 skol4 ) }.
% 0.70/1.10 (14) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), open_subset( Y, X ) }.
% 0.70/1.10 (15) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), ! closed_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 (23) {G1,W9,D5,L1,V0,M1} R(11,6) { subset_complement( the_carrier( skol4 )
% 0.70/1.10 , subset_complement( the_carrier( skol4 ), skol5 ) ) ==> skol5 }.
% 0.70/1.10 (24) {G1,W8,D4,L1,V0,M1} R(11,1) { element( subset_complement( the_carrier
% 0.70/1.10 ( skol4 ), skol5 ), powerset( the_carrier( skol4 ) ) ) }.
% 0.70/1.10 (51) {G2,W9,D4,L2,V0,M2} R(24,9);d(23);r(10) { closed_subset(
% 0.70/1.10 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! open_subset
% 0.70/1.10 ( skol5, skol4 ) }.
% 0.70/1.10 (53) {G2,W9,D4,L2,V0,M2} R(24,8);d(23);r(10) { ! closed_subset(
% 0.70/1.10 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), open_subset(
% 0.70/1.10 skol5, skol4 ) }.
% 0.70/1.10 (55) {G3,W3,D2,L1,V0,M1} R(12,14);r(53) { open_subset( skol5, skol4 ) }.
% 0.70/1.10 (60) {G3,W3,D2,L1,V0,M1} R(15,13);r(51) { ! open_subset( skol5, skol4 ) }.
% 0.70/1.10 (63) {G4,W0,D0,L0,V0,M0} S(60);r(55) { }.
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 % SZS output end Refutation
% 0.70/1.10 found a proof!
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Unprocessed initial clauses:
% 0.70/1.10
% 0.70/1.10 (65) {G0,W1,D1,L1,V0,M1} { && }.
% 0.70/1.10 (66) {G0,W10,D3,L2,V2,M2} { ! element( Y, powerset( X ) ), element(
% 0.70/1.10 subset_complement( X, Y ), powerset( X ) ) }.
% 0.70/1.10 (67) {G0,W4,D2,L2,V1,M2} { ! top_str( X ), one_sorted_str( X ) }.
% 0.70/1.10 (68) {G0,W1,D1,L1,V0,M1} { && }.
% 0.70/1.10 (69) {G0,W1,D1,L1,V0,M1} { && }.
% 0.70/1.10 (70) {G0,W1,D1,L1,V0,M1} { && }.
% 0.70/1.10 (71) {G0,W2,D2,L1,V0,M1} { top_str( skol1 ) }.
% 0.70/1.10 (72) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol2 ) }.
% 0.70/1.10 (73) {G0,W4,D3,L1,V1,M1} { element( skol3( X ), X ) }.
% 0.70/1.10 (74) {G0,W11,D4,L2,V2,M2} { ! element( Y, powerset( X ) ),
% 0.70/1.10 subset_complement( X, subset_complement( X, Y ) ) = Y }.
% 0.70/1.10 (75) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.70/1.10 (76) {G0,W16,D4,L4,V2,M4} { ! top_str( X ), ! element( Y, powerset(
% 0.70/1.10 the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 (77) {G0,W16,D4,L4,V2,M4} { ! top_str( X ), ! element( Y, powerset(
% 0.70/1.10 the_carrier( X ) ) ), ! open_subset( subset_complement( the_carrier( X )
% 0.70/1.10 , Y ), X ), closed_subset( Y, X ) }.
% 0.70/1.10 (78) {G0,W2,D2,L1,V0,M1} { top_str( skol4 ) }.
% 0.70/1.10 (79) {G0,W5,D4,L1,V0,M1} { element( skol5, powerset( the_carrier( skol4 )
% 0.70/1.10 ) ) }.
% 0.70/1.10 (80) {G0,W9,D4,L2,V0,M2} { alpha1( skol4, skol5 ), closed_subset(
% 0.70/1.10 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.70/1.10 (81) {G0,W6,D2,L2,V0,M2} { alpha1( skol4, skol5 ), ! open_subset( skol5,
% 0.70/1.10 skol4 ) }.
% 0.70/1.10 (82) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), open_subset( Y, X ) }.
% 0.70/1.10 (83) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), ! closed_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 (84) {G0,W12,D4,L3,V2,M3} { ! open_subset( Y, X ), closed_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ), alpha1( X, Y ) }.
% 0.70/1.10 (85) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y )
% 0.70/1.10 }.
% 0.70/1.10 (86) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y ) )
% 0.70/1.10 }.
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Total Proof:
% 0.70/1.10
% 0.70/1.10 subsumption: (1) {G0,W10,D3,L2,V2,M2} I { ! element( Y, powerset( X ) ),
% 0.70/1.10 element( subset_complement( X, Y ), powerset( X ) ) }.
% 0.70/1.10 parent0: (66) {G0,W10,D3,L2,V2,M2} { ! element( Y, powerset( X ) ),
% 0.70/1.10 element( subset_complement( X, Y ), powerset( X ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (6) {G0,W11,D4,L2,V2,M2} I { ! element( Y, powerset( X ) ),
% 0.70/1.10 subset_complement( X, subset_complement( X, Y ) ) ==> Y }.
% 0.70/1.10 parent0: (74) {G0,W11,D4,L2,V2,M2} { ! element( Y, powerset( X ) ),
% 0.70/1.10 subset_complement( X, subset_complement( X, Y ) ) = Y }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (8) {G0,W16,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y,
% 0.70/1.10 powerset( the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 parent0: (76) {G0,W16,D4,L4,V2,M4} { ! top_str( X ), ! element( Y,
% 0.70/1.10 powerset( the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 2 ==> 2
% 0.70/1.10 3 ==> 3
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (9) {G0,W16,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y,
% 0.70/1.10 powerset( the_carrier( X ) ) ), ! open_subset( subset_complement(
% 0.70/1.10 the_carrier( X ), Y ), X ), closed_subset( Y, X ) }.
% 0.70/1.10 parent0: (77) {G0,W16,D4,L4,V2,M4} { ! top_str( X ), ! element( Y,
% 0.70/1.10 powerset( the_carrier( X ) ) ), ! open_subset( subset_complement(
% 0.70/1.10 the_carrier( X ), Y ), X ), closed_subset( Y, X ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 2 ==> 2
% 0.70/1.10 3 ==> 3
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (10) {G0,W2,D2,L1,V0,M1} I { top_str( skol4 ) }.
% 0.70/1.10 parent0: (78) {G0,W2,D2,L1,V0,M1} { top_str( skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (11) {G0,W5,D4,L1,V0,M1} I { element( skol5, powerset(
% 0.70/1.10 the_carrier( skol4 ) ) ) }.
% 0.70/1.10 parent0: (79) {G0,W5,D4,L1,V0,M1} { element( skol5, powerset( the_carrier
% 0.70/1.10 ( skol4 ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (12) {G0,W9,D4,L2,V0,M2} I { alpha1( skol4, skol5 ),
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 }.
% 0.70/1.10 parent0: (80) {G0,W9,D4,L2,V0,M2} { alpha1( skol4, skol5 ), closed_subset
% 0.70/1.10 ( subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (13) {G0,W6,D2,L2,V0,M2} I { alpha1( skol4, skol5 ), !
% 0.70/1.10 open_subset( skol5, skol4 ) }.
% 0.70/1.10 parent0: (81) {G0,W6,D2,L2,V0,M2} { alpha1( skol4, skol5 ), ! open_subset
% 0.70/1.10 ( skol5, skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (14) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), open_subset( Y
% 0.70/1.10 , X ) }.
% 0.70/1.10 parent0: (82) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), open_subset( Y, X )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (15) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), ! closed_subset
% 0.70/1.10 ( subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 parent0: (83) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), ! closed_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 eqswap: (96) {G0,W11,D4,L2,V2,M2} { Y ==> subset_complement( X,
% 0.70/1.10 subset_complement( X, Y ) ), ! element( Y, powerset( X ) ) }.
% 0.70/1.10 parent0[1]: (6) {G0,W11,D4,L2,V2,M2} I { ! element( Y, powerset( X ) ),
% 0.70/1.10 subset_complement( X, subset_complement( X, Y ) ) ==> Y }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (97) {G1,W9,D5,L1,V0,M1} { skol5 ==> subset_complement(
% 0.70/1.10 the_carrier( skol4 ), subset_complement( the_carrier( skol4 ), skol5 ) )
% 0.70/1.10 }.
% 0.70/1.10 parent0[1]: (96) {G0,W11,D4,L2,V2,M2} { Y ==> subset_complement( X,
% 0.70/1.10 subset_complement( X, Y ) ), ! element( Y, powerset( X ) ) }.
% 0.70/1.10 parent1[0]: (11) {G0,W5,D4,L1,V0,M1} I { element( skol5, powerset(
% 0.70/1.10 the_carrier( skol4 ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := the_carrier( skol4 )
% 0.70/1.10 Y := skol5
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 eqswap: (98) {G1,W9,D5,L1,V0,M1} { subset_complement( the_carrier( skol4 )
% 0.70/1.10 , subset_complement( the_carrier( skol4 ), skol5 ) ) ==> skol5 }.
% 0.70/1.10 parent0[0]: (97) {G1,W9,D5,L1,V0,M1} { skol5 ==> subset_complement(
% 0.70/1.10 the_carrier( skol4 ), subset_complement( the_carrier( skol4 ), skol5 ) )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (23) {G1,W9,D5,L1,V0,M1} R(11,6) { subset_complement(
% 0.70/1.10 the_carrier( skol4 ), subset_complement( the_carrier( skol4 ), skol5 ) )
% 0.70/1.10 ==> skol5 }.
% 0.70/1.10 parent0: (98) {G1,W9,D5,L1,V0,M1} { subset_complement( the_carrier( skol4
% 0.70/1.10 ), subset_complement( the_carrier( skol4 ), skol5 ) ) ==> skol5 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (99) {G1,W8,D4,L1,V0,M1} { element( subset_complement(
% 0.70/1.10 the_carrier( skol4 ), skol5 ), powerset( the_carrier( skol4 ) ) ) }.
% 0.70/1.10 parent0[0]: (1) {G0,W10,D3,L2,V2,M2} I { ! element( Y, powerset( X ) ),
% 0.70/1.10 element( subset_complement( X, Y ), powerset( X ) ) }.
% 0.70/1.10 parent1[0]: (11) {G0,W5,D4,L1,V0,M1} I { element( skol5, powerset(
% 0.70/1.10 the_carrier( skol4 ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := the_carrier( skol4 )
% 0.70/1.10 Y := skol5
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (24) {G1,W8,D4,L1,V0,M1} R(11,1) { element( subset_complement
% 0.70/1.10 ( the_carrier( skol4 ), skol5 ), powerset( the_carrier( skol4 ) ) ) }.
% 0.70/1.10 parent0: (99) {G1,W8,D4,L1,V0,M1} { element( subset_complement(
% 0.70/1.10 the_carrier( skol4 ), skol5 ), powerset( the_carrier( skol4 ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (101) {G1,W17,D5,L3,V0,M3} { ! top_str( skol4 ), ! open_subset
% 0.70/1.10 ( subset_complement( the_carrier( skol4 ), subset_complement( the_carrier
% 0.70/1.10 ( skol4 ), skol5 ) ), skol4 ), closed_subset( subset_complement(
% 0.70/1.10 the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.70/1.10 parent0[1]: (9) {G0,W16,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y,
% 0.70/1.10 powerset( the_carrier( X ) ) ), ! open_subset( subset_complement(
% 0.70/1.10 the_carrier( X ), Y ), X ), closed_subset( Y, X ) }.
% 0.70/1.10 parent1[0]: (24) {G1,W8,D4,L1,V0,M1} R(11,1) { element( subset_complement(
% 0.70/1.10 the_carrier( skol4 ), skol5 ), powerset( the_carrier( skol4 ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := skol4
% 0.70/1.10 Y := subset_complement( the_carrier( skol4 ), skol5 )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 paramod: (102) {G2,W11,D4,L3,V0,M3} { ! open_subset( skol5, skol4 ), !
% 0.70/1.10 top_str( skol4 ), closed_subset( subset_complement( the_carrier( skol4 )
% 0.70/1.10 , skol5 ), skol4 ) }.
% 0.70/1.10 parent0[0]: (23) {G1,W9,D5,L1,V0,M1} R(11,6) { subset_complement(
% 0.70/1.10 the_carrier( skol4 ), subset_complement( the_carrier( skol4 ), skol5 ) )
% 0.70/1.10 ==> skol5 }.
% 0.70/1.10 parent1[1; 2]: (101) {G1,W17,D5,L3,V0,M3} { ! top_str( skol4 ), !
% 0.70/1.10 open_subset( subset_complement( the_carrier( skol4 ), subset_complement(
% 0.70/1.10 the_carrier( skol4 ), skol5 ) ), skol4 ), closed_subset(
% 0.70/1.10 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (103) {G1,W9,D4,L2,V0,M2} { ! open_subset( skol5, skol4 ),
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 }.
% 0.70/1.10 parent0[1]: (102) {G2,W11,D4,L3,V0,M3} { ! open_subset( skol5, skol4 ), !
% 0.70/1.10 top_str( skol4 ), closed_subset( subset_complement( the_carrier( skol4 )
% 0.70/1.10 , skol5 ), skol4 ) }.
% 0.70/1.10 parent1[0]: (10) {G0,W2,D2,L1,V0,M1} I { top_str( skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (51) {G2,W9,D4,L2,V0,M2} R(24,9);d(23);r(10) { closed_subset(
% 0.70/1.10 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! open_subset
% 0.70/1.10 ( skol5, skol4 ) }.
% 0.70/1.10 parent0: (103) {G1,W9,D4,L2,V0,M2} { ! open_subset( skol5, skol4 ),
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (105) {G1,W17,D5,L3,V0,M3} { ! top_str( skol4 ), !
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 , open_subset( subset_complement( the_carrier( skol4 ), subset_complement
% 0.70/1.10 ( the_carrier( skol4 ), skol5 ) ), skol4 ) }.
% 0.70/1.10 parent0[1]: (8) {G0,W16,D4,L4,V2,M4} I { ! top_str( X ), ! element( Y,
% 0.70/1.10 powerset( the_carrier( X ) ) ), ! closed_subset( Y, X ), open_subset(
% 0.70/1.10 subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 parent1[0]: (24) {G1,W8,D4,L1,V0,M1} R(11,1) { element( subset_complement(
% 0.70/1.10 the_carrier( skol4 ), skol5 ), powerset( the_carrier( skol4 ) ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := skol4
% 0.70/1.10 Y := subset_complement( the_carrier( skol4 ), skol5 )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 paramod: (106) {G2,W11,D4,L3,V0,M3} { open_subset( skol5, skol4 ), !
% 0.70/1.10 top_str( skol4 ), ! closed_subset( subset_complement( the_carrier( skol4
% 0.70/1.10 ), skol5 ), skol4 ) }.
% 0.70/1.10 parent0[0]: (23) {G1,W9,D5,L1,V0,M1} R(11,6) { subset_complement(
% 0.70/1.10 the_carrier( skol4 ), subset_complement( the_carrier( skol4 ), skol5 ) )
% 0.70/1.10 ==> skol5 }.
% 0.70/1.10 parent1[2; 1]: (105) {G1,W17,D5,L3,V0,M3} { ! top_str( skol4 ), !
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 , open_subset( subset_complement( the_carrier( skol4 ), subset_complement
% 0.70/1.10 ( the_carrier( skol4 ), skol5 ) ), skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (107) {G1,W9,D4,L2,V0,M2} { open_subset( skol5, skol4 ), !
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 }.
% 0.70/1.10 parent0[1]: (106) {G2,W11,D4,L3,V0,M3} { open_subset( skol5, skol4 ), !
% 0.70/1.10 top_str( skol4 ), ! closed_subset( subset_complement( the_carrier( skol4
% 0.70/1.10 ), skol5 ), skol4 ) }.
% 0.70/1.10 parent1[0]: (10) {G0,W2,D2,L1,V0,M1} I { top_str( skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (53) {G2,W9,D4,L2,V0,M2} R(24,8);d(23);r(10) { ! closed_subset
% 0.70/1.10 ( subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), open_subset
% 0.70/1.10 ( skol5, skol4 ) }.
% 0.70/1.10 parent0: (107) {G1,W9,D4,L2,V0,M2} { open_subset( skol5, skol4 ), !
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (108) {G1,W9,D4,L2,V0,M2} { open_subset( skol5, skol4 ),
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 }.
% 0.70/1.10 parent0[0]: (14) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), open_subset( Y,
% 0.70/1.10 X ) }.
% 0.70/1.10 parent1[0]: (12) {G0,W9,D4,L2,V0,M2} I { alpha1( skol4, skol5 ),
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := skol4
% 0.70/1.10 Y := skol5
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (109) {G2,W6,D2,L2,V0,M2} { open_subset( skol5, skol4 ),
% 0.70/1.10 open_subset( skol5, skol4 ) }.
% 0.70/1.10 parent0[0]: (53) {G2,W9,D4,L2,V0,M2} R(24,8);d(23);r(10) { ! closed_subset
% 0.70/1.10 ( subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), open_subset
% 0.70/1.10 ( skol5, skol4 ) }.
% 0.70/1.10 parent1[1]: (108) {G1,W9,D4,L2,V0,M2} { open_subset( skol5, skol4 ),
% 0.70/1.10 closed_subset( subset_complement( the_carrier( skol4 ), skol5 ), skol4 )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 factor: (110) {G2,W3,D2,L1,V0,M1} { open_subset( skol5, skol4 ) }.
% 0.70/1.10 parent0[0, 1]: (109) {G2,W6,D2,L2,V0,M2} { open_subset( skol5, skol4 ),
% 0.70/1.10 open_subset( skol5, skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (55) {G3,W3,D2,L1,V0,M1} R(12,14);r(53) { open_subset( skol5,
% 0.70/1.10 skol4 ) }.
% 0.70/1.10 parent0: (110) {G2,W3,D2,L1,V0,M1} { open_subset( skol5, skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (111) {G1,W9,D4,L2,V0,M2} { ! closed_subset( subset_complement
% 0.70/1.10 ( the_carrier( skol4 ), skol5 ), skol4 ), ! open_subset( skol5, skol4 )
% 0.70/1.10 }.
% 0.70/1.10 parent0[0]: (15) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), ! closed_subset
% 0.70/1.10 ( subset_complement( the_carrier( X ), Y ), X ) }.
% 0.70/1.10 parent1[0]: (13) {G0,W6,D2,L2,V0,M2} I { alpha1( skol4, skol5 ), !
% 0.70/1.10 open_subset( skol5, skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := skol4
% 0.70/1.10 Y := skol5
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (112) {G2,W6,D2,L2,V0,M2} { ! open_subset( skol5, skol4 ), !
% 0.70/1.10 open_subset( skol5, skol4 ) }.
% 0.70/1.10 parent0[0]: (111) {G1,W9,D4,L2,V0,M2} { ! closed_subset( subset_complement
% 0.70/1.10 ( the_carrier( skol4 ), skol5 ), skol4 ), ! open_subset( skol5, skol4 )
% 0.70/1.10 }.
% 0.70/1.10 parent1[0]: (51) {G2,W9,D4,L2,V0,M2} R(24,9);d(23);r(10) { closed_subset(
% 0.70/1.10 subset_complement( the_carrier( skol4 ), skol5 ), skol4 ), ! open_subset
% 0.70/1.10 ( skol5, skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 factor: (113) {G2,W3,D2,L1,V0,M1} { ! open_subset( skol5, skol4 ) }.
% 0.70/1.10 parent0[0, 1]: (112) {G2,W6,D2,L2,V0,M2} { ! open_subset( skol5, skol4 ),
% 0.70/1.10 ! open_subset( skol5, skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (60) {G3,W3,D2,L1,V0,M1} R(15,13);r(51) { ! open_subset( skol5
% 0.70/1.10 , skol4 ) }.
% 0.70/1.10 parent0: (113) {G2,W3,D2,L1,V0,M1} { ! open_subset( skol5, skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (114) {G4,W0,D0,L0,V0,M0} { }.
% 0.70/1.10 parent0[0]: (60) {G3,W3,D2,L1,V0,M1} R(15,13);r(51) { ! open_subset( skol5
% 0.70/1.10 , skol4 ) }.
% 0.70/1.10 parent1[0]: (55) {G3,W3,D2,L1,V0,M1} R(12,14);r(53) { open_subset( skol5,
% 0.70/1.10 skol4 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (63) {G4,W0,D0,L0,V0,M0} S(60);r(55) { }.
% 0.70/1.10 parent0: (114) {G4,W0,D0,L0,V0,M0} { }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 Proof check complete!
% 0.70/1.10
% 0.70/1.10 Memory use:
% 0.70/1.10
% 0.70/1.10 space for terms: 983
% 0.70/1.10 space for clauses: 4249
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 107
% 0.70/1.10 clauses kept: 64
% 0.70/1.10 clauses selected: 31
% 0.70/1.10 clauses deleted: 1
% 0.70/1.10 clauses inuse deleted: 0
% 0.70/1.10
% 0.70/1.10 subsentry: 85
% 0.70/1.10 literals s-matched: 50
% 0.70/1.10 literals matched: 50
% 0.70/1.10 full subsumption: 0
% 0.70/1.10
% 0.70/1.10 checksum: -2019293940
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksem ended
%------------------------------------------------------------------------------