TSTP Solution File: SET865-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 : Mon Jul 18 22:53:01 EDT 2022
% Result : Unsatisfiable 0.83s 1.22s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sat Jul 9 17:45:46 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.83/1.22 *** allocated 10000 integers for termspace/termends
% 0.83/1.22 *** allocated 10000 integers for clauses
% 0.83/1.22 *** allocated 10000 integers for justifications
% 0.83/1.22 Bliksem 1.12
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 Automatic Strategy Selection
% 0.83/1.22
% 0.83/1.22 Clauses:
% 0.83/1.22 [
% 0.83/1.22 [ 'c_in'( 'c_Union'( X, 't_a' ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.83/1.22 X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 0.83/1.22 ,
% 0.83/1.22 [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_S',
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ],
% 0.83/1.22 [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~( 'c_in'( X,
% 0.83/1.22 'v_S', 'tc_set'( 't_a' ) ) ) ],
% 0.83/1.22 [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ]
% 0.83/1.22 ,
% 0.83/1.22 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 0.83/1.22 'c_in'( X, T, Z ) ],
% 0.83/1.22 [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Omaxchain'( X, Y ),
% 0.83/1.22 'tc_set'( 'tc_set'( Y ) ) ) ],
% 0.83/1.22 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Zorn_Omaxchain'(
% 0.83/1.22 Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_lessequals'( 'c_Union'( T, Z
% 0.83/1.22 ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T, Z ), X ) ],
% 0.83/1.22 [ 'c_lessequals'( 'c_Zorn_Omaxchain'( X, Y ), 'c_Zorn_Ochain'( X, Y ),
% 0.83/1.22 'tc_set'( 'tc_set'( 'tc_set'( Y ) ) ) ) ]
% 0.83/1.22 ] .
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 percentage equality = 0.117647, percentage horn = 1.000000
% 0.83/1.22 This is a problem with some equality
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 Options Used:
% 0.83/1.22
% 0.83/1.22 useres = 1
% 0.83/1.22 useparamod = 1
% 0.83/1.22 useeqrefl = 1
% 0.83/1.22 useeqfact = 1
% 0.83/1.22 usefactor = 1
% 0.83/1.22 usesimpsplitting = 0
% 0.83/1.22 usesimpdemod = 5
% 0.83/1.22 usesimpres = 3
% 0.83/1.22
% 0.83/1.22 resimpinuse = 1000
% 0.83/1.22 resimpclauses = 20000
% 0.83/1.22 substype = eqrewr
% 0.83/1.22 backwardsubs = 1
% 0.83/1.22 selectoldest = 5
% 0.83/1.22
% 0.83/1.22 litorderings [0] = split
% 0.83/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.22
% 0.83/1.22 termordering = kbo
% 0.83/1.22
% 0.83/1.22 litapriori = 0
% 0.83/1.22 termapriori = 1
% 0.83/1.22 litaposteriori = 0
% 0.83/1.22 termaposteriori = 0
% 0.83/1.22 demodaposteriori = 0
% 0.83/1.22 ordereqreflfact = 0
% 0.83/1.22
% 0.83/1.22 litselect = negord
% 0.83/1.22
% 0.83/1.22 maxweight = 15
% 0.83/1.22 maxdepth = 30000
% 0.83/1.22 maxlength = 115
% 0.83/1.22 maxnrvars = 195
% 0.83/1.22 excuselevel = 1
% 0.83/1.22 increasemaxweight = 1
% 0.83/1.22
% 0.83/1.22 maxselected = 10000000
% 0.83/1.22 maxnrclauses = 10000000
% 0.83/1.22
% 0.83/1.22 showgenerated = 0
% 0.83/1.22 showkept = 0
% 0.83/1.22 showselected = 0
% 0.83/1.22 showdeleted = 0
% 0.83/1.22 showresimp = 1
% 0.83/1.22 showstatus = 2000
% 0.83/1.22
% 0.83/1.22 prologoutput = 1
% 0.83/1.22 nrgoals = 5000000
% 0.83/1.22 totalproof = 1
% 0.83/1.22
% 0.83/1.22 Symbols occurring in the translation:
% 0.83/1.22
% 0.83/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.22 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.83/1.22 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.83/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.22 't_a' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.83/1.22 'c_Union' [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.83/1.22 'v_S' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.83/1.22 'tc_set' [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.83/1.22 'c_in' [44, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.83/1.22 'c_Zorn_Ochain' [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.83/1.22 'v_x' [46, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.83/1.22 'c_lessequals' [47, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.83/1.22 'c_Zorn_OHausdorff__1' [53, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.83/1.22 'c_Zorn_Omaxchain' [54, 2] (w:1, o:53, a:1, s:1, b:0).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 Starting Search:
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 Bliksems!, er is een bewijs:
% 0.83/1.22 % SZS status Unsatisfiable
% 0.83/1.22 % SZS output start Refutation
% 0.83/1.22
% 0.83/1.22 clause( 0, [ 'c_in'( 'c_Union'( X, 't_a' ), 'v_S', 'tc_set'( 't_a' ) ), ~(
% 0.83/1.22 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 0.83/1.22 ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 1, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'( X,
% 0.83/1.22 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 2, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.83/1.22 X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 3, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a'
% 0.83/1.22 ) ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 0.83/1.22 ) ), 'c_in'( X, T, Z ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 5, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Omaxchain'( X
% 0.83/1.22 , Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 6, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.83/1.22 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.83/1.22 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.83/1.22 , Z ), X ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 7, [ 'c_lessequals'( 'c_Zorn_Omaxchain'( X, Y ), 'c_Zorn_Ochain'( X
% 0.83/1.22 , Y ), 'tc_set'( 'tc_set'( 'tc_set'( Y ) ) ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 12, [ ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'(
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'v_x'( 'c_Union'( X, 't_a' ) ), 'v_S',
% 0.83/1.22 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 13, [ ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'(
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Union'( X, 't_a' ), 'v_x'(
% 0.83/1.22 'c_Union'( X, 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 20, [ ~( 'c_in'( X, 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'(
% 0.83/1.22 Z ) ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.83/1.22 ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 35, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.83/1.22 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X, 'tc_set'( Z ) ) ), =(
% 0.83/1.22 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 73, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Ochain'( X, Y
% 0.83/1.22 ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 74, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ), 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 75, [ 'c_in'( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 76, [ 'c_in'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 83, [ ~( =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' )
% 0.83/1.22 ) ) ] )
% 0.83/1.22 .
% 0.83/1.22 clause( 85, [ =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' ) ) ]
% 0.83/1.22 )
% 0.83/1.22 .
% 0.83/1.22 clause( 86, [] )
% 0.83/1.22 .
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 % SZS output end Refutation
% 0.83/1.22 found a proof!
% 0.83/1.22
% 0.83/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.83/1.22
% 0.83/1.22 initialclauses(
% 0.83/1.22 [ clause( 88, [ 'c_in'( 'c_Union'( X, 't_a' ), 'v_S', 'tc_set'( 't_a' ) ),
% 0.83/1.22 ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.83/1.22 ) ) ) ) ] )
% 0.83/1.22 , clause( 89, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.83/1.22 X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , clause( 90, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~(
% 0.83/1.22 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , clause( 91, [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.83/1.22 't_a' ) ) ) ] )
% 0.83/1.22 , clause( 92, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 0.83/1.22 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 0.83/1.22 , clause( 93, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Omaxchain'(
% 0.83/1.22 X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , clause( 94, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.83/1.22 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.83/1.22 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.83/1.22 , Z ), X ) ] )
% 0.83/1.22 , clause( 95, [ 'c_lessequals'( 'c_Zorn_Omaxchain'( X, Y ), 'c_Zorn_Ochain'(
% 0.83/1.22 X, Y ), 'tc_set'( 'tc_set'( 'tc_set'( Y ) ) ) ) ] )
% 0.83/1.22 ] ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 0, [ 'c_in'( 'c_Union'( X, 't_a' ), 'v_S', 'tc_set'( 't_a' ) ), ~(
% 0.83/1.22 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 0.83/1.22 ) ) ] )
% 0.83/1.22 , clause( 88, [ 'c_in'( 'c_Union'( X, 't_a' ), 'v_S', 'tc_set'( 't_a' ) ),
% 0.83/1.22 ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.83/1.22 ) ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.83/1.22 1 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 1, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'( X,
% 0.83/1.22 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , clause( 89, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.83/1.22 X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.83/1.22 1 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 2, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.83/1.22 X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , clause( 90, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~(
% 0.83/1.22 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.83/1.22 1 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 eqswap(
% 0.83/1.22 clause( 96, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a'
% 0.83/1.22 ) ) ) ] )
% 0.83/1.22 , clause( 91, [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.83/1.22 't_a' ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, X )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 3, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a'
% 0.83/1.22 ) ) ) ] )
% 0.83/1.22 , clause( 96, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.83/1.22 't_a' ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.83/1.22 1 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 0.83/1.22 ) ), 'c_in'( X, T, Z ) ] )
% 0.83/1.22 , clause( 92, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 0.83/1.22 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.83/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 5, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Omaxchain'( X
% 0.83/1.22 , Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , clause( 93, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Omaxchain'(
% 0.83/1.22 X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.22 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 6, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.83/1.22 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.83/1.22 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.83/1.22 , Z ), X ) ] )
% 0.83/1.22 , clause( 94, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.83/1.22 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.83/1.22 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.83/1.22 , Z ), X ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.83/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.83/1.22 ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 7, [ 'c_lessequals'( 'c_Zorn_Omaxchain'( X, Y ), 'c_Zorn_Ochain'( X
% 0.83/1.22 , Y ), 'tc_set'( 'tc_set'( 'tc_set'( Y ) ) ) ) ] )
% 0.83/1.22 , clause( 95, [ 'c_lessequals'( 'c_Zorn_Omaxchain'( X, Y ), 'c_Zorn_Ochain'(
% 0.83/1.22 X, Y ), 'tc_set'( 'tc_set'( 'tc_set'( Y ) ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.22 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 103, [ 'c_in'( 'v_x'( 'c_Union'( X, 't_a' ) ), 'v_S', 'tc_set'(
% 0.83/1.22 't_a' ) ), ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'(
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ) ] )
% 0.83/1.22 , clause( 1, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'( X
% 0.83/1.22 , 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , 1, clause( 0, [ 'c_in'( 'c_Union'( X, 't_a' ), 'v_S', 'tc_set'( 't_a' ) )
% 0.83/1.22 , ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.83/1.22 't_a' ) ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'c_Union'( X, 't_a' ) )] ), substitution( 1
% 0.83/1.22 , [ :=( X, X )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 12, [ ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'(
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'v_x'( 'c_Union'( X, 't_a' ) ), 'v_S',
% 0.83/1.22 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , clause( 103, [ 'c_in'( 'v_x'( 'c_Union'( X, 't_a' ) ), 'v_S', 'tc_set'(
% 0.83/1.22 't_a' ) ), ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'(
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.83/1.22 0 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 104, [ 'c_lessequals'( 'c_Union'( X, 't_a' ), 'v_x'( 'c_Union'( X,
% 0.83/1.22 't_a' ) ), 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S',
% 0.83/1.22 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.83/1.22 , clause( 2, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~(
% 0.83/1.22 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , 1, clause( 0, [ 'c_in'( 'c_Union'( X, 't_a' ), 'v_S', 'tc_set'( 't_a' ) )
% 0.83/1.22 , ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.83/1.22 't_a' ) ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'c_Union'( X, 't_a' ) )] ), substitution( 1
% 0.83/1.22 , [ :=( X, X )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 13, [ ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'(
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Union'( X, 't_a' ), 'v_x'(
% 0.83/1.22 'c_Union'( X, 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , clause( 104, [ 'c_lessequals'( 'c_Union'( X, 't_a' ), 'v_x'( 'c_Union'( X
% 0.83/1.22 , 't_a' ) ), 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S',
% 0.83/1.22 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.83/1.22 0 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 105, [ ~( 'c_in'( X, 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'(
% 0.83/1.22 Z ) ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.83/1.22 ) ] )
% 0.83/1.22 , clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 0.83/1.22 ) ) ), 'c_in'( X, T, Z ) ] )
% 0.83/1.22 , 1, clause( 7, [ 'c_lessequals'( 'c_Zorn_Omaxchain'( X, Y ),
% 0.83/1.22 'c_Zorn_Ochain'( X, Y ), 'tc_set'( 'tc_set'( 'tc_set'( Y ) ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Zorn_Omaxchain'( Y, Z ) ),
% 0.83/1.22 :=( Z, 'tc_set'( 'tc_set'( Z ) ) ), :=( T, 'c_Zorn_Ochain'( Y, Z ) )] ),
% 0.83/1.22 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 20, [ ~( 'c_in'( X, 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'(
% 0.83/1.22 Z ) ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.83/1.22 ) ] )
% 0.83/1.22 , clause( 105, [ ~( 'c_in'( X, 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'(
% 0.83/1.22 'tc_set'( Z ) ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'(
% 0.83/1.22 'tc_set'( Z ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.83/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 eqswap(
% 0.83/1.22 clause( 106, [ =( Z, 'c_Union'( X, Y ) ), ~( 'c_in'( Z, T, 'tc_set'( Y ) )
% 0.83/1.22 ), ~( 'c_in'( X, 'c_Zorn_Omaxchain'( T, Y ), 'tc_set'( 'tc_set'( Y ) ) )
% 0.83/1.22 ), ~( 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , clause( 6, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.83/1.22 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.83/1.22 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.83/1.22 , Z ), X ) ] )
% 0.83/1.22 , 3, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.83/1.22 ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 108, [ =( X, 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ) ), ~(
% 0.83/1.22 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 'c_Union'(
% 0.83/1.22 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X, 'tc_set'( Z ) ) ) ] )
% 0.83/1.22 , clause( 106, [ =( Z, 'c_Union'( X, Y ) ), ~( 'c_in'( Z, T, 'tc_set'( Y )
% 0.83/1.22 ) ), ~( 'c_in'( X, 'c_Zorn_Omaxchain'( T, Y ), 'tc_set'( 'tc_set'( Y ) )
% 0.83/1.22 ) ), ~( 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , 2, clause( 5, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ),
% 0.83/1.22 'c_Zorn_Omaxchain'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'c_Zorn_OHausdorff__1'( Y, Z ) ), :=( Y, Z )
% 0.83/1.22 , :=( Z, X ), :=( T, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )
% 0.83/1.22 ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 eqswap(
% 0.83/1.22 clause( 109, [ =( 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X ), ~(
% 0.83/1.22 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 'c_Union'(
% 0.83/1.22 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X, 'tc_set'( Z ) ) ) ] )
% 0.83/1.22 , clause( 108, [ =( X, 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ) ),
% 0.83/1.22 ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 'c_Union'(
% 0.83/1.22 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X, 'tc_set'( Z ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 35, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.83/1.22 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X, 'tc_set'( Z ) ) ), =(
% 0.83/1.22 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X ) ] )
% 0.83/1.22 , clause( 109, [ =( 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X ),
% 0.83/1.22 ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 'c_Union'(
% 0.83/1.22 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X, 'tc_set'( Z ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.83/1.22 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 111, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Ochain'( X,
% 0.83/1.22 Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , clause( 20, [ ~( 'c_in'( X, 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'(
% 0.83/1.22 'tc_set'( Z ) ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'(
% 0.83/1.22 'tc_set'( Z ) ) ) ] )
% 0.83/1.22 , 0, clause( 5, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ),
% 0.83/1.22 'c_Zorn_Omaxchain'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'c_Zorn_OHausdorff__1'( X, Y ) ), :=( Y, X )
% 0.83/1.22 , :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 73, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Ochain'( X, Y
% 0.83/1.22 ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , clause( 111, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Ochain'( X
% 0.83/1.22 , Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.22 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 112, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ), 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , clause( 13, [ ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'(
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Union'( X, 't_a' ), 'v_x'(
% 0.83/1.22 'c_Union'( X, 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , 0, clause( 73, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Ochain'(
% 0.83/1.22 X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ) )] )
% 0.83/1.22 , substitution( 1, [ :=( X, 'v_S' ), :=( Y, 't_a' )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 74, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ), 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , clause( 112, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ), 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 113, [ 'c_in'( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , clause( 12, [ ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'(
% 0.83/1.22 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'v_x'( 'c_Union'( X, 't_a' ) ), 'v_S',
% 0.83/1.22 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , 0, clause( 73, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Ochain'(
% 0.83/1.22 X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ) )] )
% 0.83/1.22 , substitution( 1, [ :=( X, 'v_S' ), :=( Y, 't_a' )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 75, [ 'c_in'( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , clause( 113, [ 'c_in'( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 114, [ 'c_in'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , clause( 0, [ 'c_in'( 'c_Union'( X, 't_a' ), 'v_S', 'tc_set'( 't_a' ) ),
% 0.83/1.22 ~( 'c_in'( X, 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.83/1.22 ) ) ) ) ] )
% 0.83/1.22 , 1, clause( 73, [ 'c_in'( 'c_Zorn_OHausdorff__1'( X, Y ), 'c_Zorn_Ochain'(
% 0.83/1.22 X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ) )] )
% 0.83/1.22 , substitution( 1, [ :=( X, 'v_S' ), :=( Y, 't_a' )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 76, [ 'c_in'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , clause( 114, [ 'c_in'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' )
% 0.83/1.22 , 't_a' ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 eqswap(
% 0.83/1.22 clause( 115, [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.83/1.22 't_a' ) ) ) ] )
% 0.83/1.22 , clause( 3, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.83/1.22 't_a' ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, X )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 116, [ ~( =( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ), 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a'
% 0.83/1.22 ) ) ) ) ] )
% 0.83/1.22 , clause( 115, [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.83/1.22 't_a' ) ) ) ] )
% 0.83/1.22 , 1, clause( 76, [ 'c_in'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) )] ), substitution( 1, [] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 eqswap(
% 0.83/1.22 clause( 117, [ ~( =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' )
% 0.83/1.22 ) ) ] )
% 0.83/1.22 , clause( 116, [ ~( =( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ), 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a'
% 0.83/1.22 ) ) ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 83, [ ~( =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' )
% 0.83/1.22 ) ) ] )
% 0.83/1.22 , clause( 117, [ ~( =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ) ) ) ] )
% 0.83/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 eqswap(
% 0.83/1.22 clause( 118, [ =( Z, 'c_Union'( 'c_Zorn_OHausdorff__1'( X, Y ), Y ) ), ~(
% 0.83/1.22 'c_in'( Z, X, 'tc_set'( Y ) ) ), ~( 'c_lessequals'( 'c_Union'(
% 0.83/1.22 'c_Zorn_OHausdorff__1'( X, Y ), Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , clause( 35, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.83/1.22 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X, 'tc_set'( Z ) ) ), =(
% 0.83/1.22 'c_Union'( 'c_Zorn_OHausdorff__1'( Y, Z ), Z ), X ) ] )
% 0.83/1.22 , 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 119, [ =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' )
% 0.83/1.22 , 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' ) )
% 0.83/1.22 , ~( 'c_in'( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ) ), 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , clause( 118, [ =( Z, 'c_Union'( 'c_Zorn_OHausdorff__1'( X, Y ), Y ) ),
% 0.83/1.22 ~( 'c_in'( Z, X, 'tc_set'( Y ) ) ), ~( 'c_lessequals'( 'c_Union'(
% 0.83/1.22 'c_Zorn_OHausdorff__1'( X, Y ), Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.83/1.22 , 2, clause( 74, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S'
% 0.83/1.22 , 't_a' ), 't_a' ), 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 't_a' ), :=( Z, 'v_x'(
% 0.83/1.22 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' ) ) )] ),
% 0.83/1.22 substitution( 1, [] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 120, [ =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' )
% 0.83/1.22 , 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' ) )
% 0.83/1.22 ] )
% 0.83/1.22 , clause( 119, [ =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' )
% 0.83/1.22 ), ~( 'c_in'( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ) ), 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.83/1.22 , 1, clause( 75, [ 'c_in'( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S'
% 0.83/1.22 , 't_a' ), 't_a' ) ), 'v_S', 'tc_set'( 't_a' ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 85, [ =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' ) ) ]
% 0.83/1.22 )
% 0.83/1.22 , clause( 120, [ =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a'
% 0.83/1.22 ), 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ), 't_a' )
% 0.83/1.22 ) ] )
% 0.83/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 resolution(
% 0.83/1.22 clause( 124, [] )
% 0.83/1.22 , clause( 83, [ ~( =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ) ) ) ] )
% 0.83/1.22 , 0, clause( 85, [ =( 'v_x'( 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S',
% 0.83/1.22 't_a' ), 't_a' ) ), 'c_Union'( 'c_Zorn_OHausdorff__1'( 'v_S', 't_a' ),
% 0.83/1.22 't_a' ) ) ] )
% 0.83/1.22 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 subsumption(
% 0.83/1.22 clause( 86, [] )
% 0.83/1.22 , clause( 124, [] )
% 0.83/1.22 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 end.
% 0.83/1.22
% 0.83/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.83/1.22
% 0.83/1.22 Memory use:
% 0.83/1.22
% 0.83/1.22 space for terms: 2605
% 0.83/1.22 space for clauses: 6107
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 clauses generated: 1940
% 0.83/1.22 clauses kept: 87
% 0.83/1.22 clauses selected: 46
% 0.83/1.22 clauses deleted: 1
% 0.83/1.22 clauses inuse deleted: 0
% 0.83/1.22
% 0.83/1.22 subsentry: 296
% 0.83/1.22 literals s-matched: 230
% 0.83/1.22 literals matched: 230
% 0.83/1.22 full subsumption: 73
% 0.83/1.22
% 0.83/1.22 checksum: 422654858
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 Bliksem ended
%------------------------------------------------------------------------------