TSTP Solution File: SET848-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET848-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 22:52:44 EDT 2022
% Result : Unsatisfiable 0.72s 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET848-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.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 : Sun Jul 10 07:05:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08 [
% 0.72/1.08 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.72/1.08 , 'tc_set'( Z ) ), Z ) ],
% 0.72/1.08 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.72/1.08 [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 0.72/1.08 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.72/1.08 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.72/1.08 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.72/1.08 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.72/1.08 [ ~( 'c_in'( X, 'c_minus'( 'c_Zorn_Ochain'( Y, Z ), 'c_Zorn_Omaxchain'(
% 0.72/1.08 Y, Z ), 'tc_set'( 'tc_set'( 'tc_set'( Z ) ) ) ), 'tc_set'( 'tc_set'( Z )
% 0.72/1.08 ) ) ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ) ],
% 0.72/1.08 [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a'
% 0.72/1.08 ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.72/1.08 ) ],
% 0.72/1.08 [ =( 'c_Zorn_Osucc'( 'v_S', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 't_a' ), 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ) ) ]
% 0.72/1.08 ] .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 percentage equality = 0.166667, percentage horn = 0.857143
% 0.72/1.08 This is a problem with some equality
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 1
% 0.72/1.08 useeqrefl = 1
% 0.72/1.08 useeqfact = 1
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 5
% 0.72/1.08 usesimpres = 3
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = eqrewr
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.08
% 0.72/1.08 termordering = kbo
% 0.72/1.08
% 0.72/1.08 litapriori = 0
% 0.72/1.08 termapriori = 1
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.72/1.08 demodaposteriori = 0
% 0.72/1.08 ordereqreflfact = 0
% 0.72/1.08
% 0.72/1.08 litselect = negord
% 0.72/1.08
% 0.72/1.08 maxweight = 15
% 0.72/1.08 maxdepth = 30000
% 0.72/1.08 maxlength = 115
% 0.72/1.08 maxnrvars = 195
% 0.72/1.08 excuselevel = 1
% 0.72/1.08 increasemaxweight = 1
% 0.72/1.08
% 0.72/1.08 maxselected = 10000000
% 0.72/1.08 maxnrclauses = 10000000
% 0.72/1.08
% 0.72/1.08 showgenerated = 0
% 0.72/1.08 showkept = 0
% 0.72/1.08 showselected = 0
% 0.72/1.08 showdeleted = 0
% 0.72/1.08 showresimp = 1
% 0.72/1.08 showstatus = 2000
% 0.72/1.08
% 0.72/1.08 prologoutput = 1
% 0.72/1.08 nrgoals = 5000000
% 0.72/1.08 totalproof = 1
% 0.72/1.08
% 0.72/1.08 Symbols occurring in the translation:
% 0.72/1.08
% 0.72/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.08 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.08 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 'c_in' [42, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.08 'tc_set' [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.08 'c_minus' [45, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.08 'c_lessequals' [46, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.08 'c_Zorn_OTFin' [49, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.08 'c_Union' [50, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.08 'c_Zorn_Ochain' [51, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.08 'c_Zorn_Omaxchain' [52, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.08 'c_Zorn_Osucc' [53, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.08 'v_S' [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.08 't_a' [55, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Starting Search:
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksems!, er is een bewijs:
% 0.72/1.08 % SZS status Unsatisfiable
% 0.72/1.08 % SZS output start Refutation
% 0.72/1.08
% 0.72/1.08 clause( 0, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 0.72/1.08 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 1, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 2, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.72/1.08 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 3, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.72/1.08 ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 4, [ ~( 'c_in'( X, 'c_minus'( 'c_Zorn_Ochain'( Y, Z ),
% 0.72/1.08 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 5, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.72/1.08 ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 6, [ =( 'c_Zorn_Osucc'( 'v_S', 'c_Union'( 'c_Zorn_OTFin'( 'v_S',
% 0.72/1.08 't_a' ), 'tc_set'( 't_a' ) ), 't_a' ), 'c_Union'( 'c_Zorn_OTFin'( 'v_S',
% 0.72/1.08 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 14, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.72/1.08 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 15, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.72/1.08 'c_Zorn_Ochain'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 16, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_minus'( 'c_Zorn_Ochain'( 'v_S', 't_a' ),
% 0.72/1.08 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 'tc_set'( 't_a' )
% 0.72/1.08 ) ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 19, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 20, [] )
% 0.72/1.08 .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % SZS output end Refutation
% 0.72/1.08 found a proof!
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 initialclauses(
% 0.72/1.08 [ clause( 22, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 0.72/1.08 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 0.72/1.08 , clause( 23, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.72/1.08 , clause( 24, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.72/1.08 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.72/1.08 , clause( 25, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.72/1.08 ) ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 26, [ ~( 'c_in'( X, 'c_minus'( 'c_Zorn_Ochain'( Y, Z ),
% 0.72/1.08 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 27, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 'tc_set'( 't_a' ) ) ) ) ] )
% 0.72/1.08 , clause( 28, [ =( 'c_Zorn_Osucc'( 'v_S', 'c_Union'( 'c_Zorn_OTFin'( 'v_S'
% 0.72/1.08 , 't_a' ), 'tc_set'( 't_a' ) ), 't_a' ), 'c_Union'( 'c_Zorn_OTFin'( 'v_S'
% 0.72/1.08 , 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.72/1.08 ] ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 0, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 0.72/1.08 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 0.72/1.08 , clause( 22, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 0.72/1.08 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 1, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.72/1.08 , clause( 23, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 2, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.72/1.08 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.72/1.08 , clause( 24, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.72/1.08 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 3, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.72/1.08 ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 25, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.72/1.08 ) ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 4, [ ~( 'c_in'( X, 'c_minus'( 'c_Zorn_Ochain'( Y, Z ),
% 0.72/1.08 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 26, [ ~( 'c_in'( X, 'c_minus'( 'c_Zorn_Ochain'( Y, Z ),
% 0.72/1.08 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 5, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.72/1.08 ) ) ) ) ] )
% 0.72/1.08 , clause( 27, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 'tc_set'( 't_a' ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 6, [ =( 'c_Zorn_Osucc'( 'v_S', 'c_Union'( 'c_Zorn_OTFin'( 'v_S',
% 0.72/1.08 't_a' ), 'tc_set'( 't_a' ) ), 't_a' ), 'c_Union'( 'c_Zorn_OTFin'( 'v_S',
% 0.72/1.08 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.72/1.08 , clause( 28, [ =( 'c_Zorn_Osucc'( 'v_S', 'c_Union'( 'c_Zorn_OTFin'( 'v_S'
% 0.72/1.08 , 't_a' ), 'tc_set'( 't_a' ) ), 't_a' ), 'c_Union'( 'c_Zorn_OTFin'( 'v_S'
% 0.72/1.08 , 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 33, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.72/1.08 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 , clause( 2, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.72/1.08 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.72/1.08 , 0, clause( 1, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, 'c_Zorn_OTFin'( X, Y ) ), :=( Y, X ), :=( Z
% 0.72/1.08 , Y )] ), substitution( 1, [ :=( X, 'c_Zorn_OTFin'( X, Y ) ), :=( Y,
% 0.72/1.08 'tc_set'( 'tc_set'( Y ) ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 14, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.72/1.08 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 , clause( 33, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) )
% 0.72/1.08 , 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 34, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.72/1.08 'c_Zorn_Ochain'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 , clause( 3, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.72/1.08 ) ) ) ), 'c_in'( X, 'c_Zorn_Ochain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 0, clause( 14, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y )
% 0.72/1.08 ), 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'(
% 0.72/1.08 Y ) ) ), :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.72/1.08 , Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 15, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.72/1.08 'c_Zorn_Ochain'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 , clause( 34, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) )
% 0.72/1.08 , 'c_Zorn_Ochain'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 35, [ ~( =( Y, 'c_Zorn_Osucc'( X, Y, Z ) ) ), ~( 'c_in'( Y,
% 0.72/1.08 'c_minus'( 'c_Zorn_Ochain'( X, Z ), 'c_Zorn_Omaxchain'( X, Z ), 'tc_set'(
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ), 'tc_set'( 'tc_set'( Z ) ) ) ) ] )
% 0.72/1.08 , clause( 4, [ ~( 'c_in'( X, 'c_minus'( 'c_Zorn_Ochain'( Y, Z ),
% 0.72/1.08 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 36, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a'
% 0.72/1.08 ) ), 'c_Zorn_Osucc'( 'v_S', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 't_a' ) ) ] )
% 0.72/1.08 , clause( 6, [ =( 'c_Zorn_Osucc'( 'v_S', 'c_Union'( 'c_Zorn_OTFin'( 'v_S',
% 0.72/1.08 't_a' ), 'tc_set'( 't_a' ) ), 't_a' ), 'c_Union'( 'c_Zorn_OTFin'( 'v_S',
% 0.72/1.08 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 37, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_minus'( 'c_Zorn_Ochain'( 'v_S', 't_a' ),
% 0.72/1.08 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 'tc_set'( 't_a' )
% 0.72/1.08 ) ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.72/1.08 , clause( 35, [ ~( =( Y, 'c_Zorn_Osucc'( X, Y, Z ) ) ), ~( 'c_in'( Y,
% 0.72/1.08 'c_minus'( 'c_Zorn_Ochain'( X, Z ), 'c_Zorn_Omaxchain'( X, Z ), 'tc_set'(
% 0.72/1.08 'tc_set'( 'tc_set'( Z ) ) ) ), 'tc_set'( 'tc_set'( Z ) ) ) ) ] )
% 0.72/1.08 , 0, clause( 36, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 't_a' ) ), 'c_Zorn_Osucc'( 'v_S', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a'
% 0.72/1.08 ), 'tc_set'( 't_a' ) ), 't_a' ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'c_Union'( 'c_Zorn_OTFin'(
% 0.72/1.08 'v_S', 't_a' ), 'tc_set'( 't_a' ) ) ), :=( Z, 't_a' )] ), substitution( 1
% 0.72/1.08 , [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 16, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_minus'( 'c_Zorn_Ochain'( 'v_S', 't_a' ),
% 0.72/1.08 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 'tc_set'( 't_a' )
% 0.72/1.08 ) ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.72/1.08 , clause( 37, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_minus'( 'c_Zorn_Ochain'( 'v_S', 't_a' ),
% 0.72/1.08 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 'tc_set'( 't_a' )
% 0.72/1.08 ) ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 39, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.72/1.08 't_a' ) ) ) ), 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 'tc_set'( 't_a' ) ) ) ] )
% 0.72/1.08 , clause( 16, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_minus'( 'c_Zorn_Ochain'( 'v_S', 't_a' ),
% 0.72/1.08 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 'tc_set'( 't_a' )
% 0.72/1.08 ) ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.72/1.08 , 0, clause( 0, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 0.72/1.08 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 0.72/1.08 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Union'(
% 0.72/1.08 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ) ), :=( Y,
% 0.72/1.08 'c_Zorn_Ochain'( 'v_S', 't_a' ) ), :=( Z, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.72/1.08 , :=( T, 'c_Zorn_Omaxchain'( 'v_S', 't_a' ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 40, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 39, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_Zorn_Ochain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.72/1.08 't_a' ) ) ) ), 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 'tc_set'( 't_a' ) ) ) ] )
% 0.72/1.08 , 0, clause( 15, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y )
% 0.72/1.08 ), 'c_Zorn_Ochain'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_S' ), :=( Y, 't_a'
% 0.72/1.08 )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 19, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 40, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a'
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 41, [] )
% 0.72/1.08 , clause( 5, [ ~( 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 'tc_set'( 't_a' ) ) ) ) ] )
% 0.72/1.08 , 0, clause( 19, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.72/1.08 'tc_set'( 't_a' ) ), 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.72/1.08 'tc_set'( 't_a' ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 20, [] )
% 0.72/1.08 , clause( 41, [] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 end.
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 Memory use:
% 0.72/1.08
% 0.72/1.08 space for terms: 704
% 0.72/1.08 space for clauses: 2548
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 clauses generated: 58
% 0.72/1.08 clauses kept: 21
% 0.72/1.08 clauses selected: 12
% 0.72/1.08 clauses deleted: 1
% 0.72/1.08 clauses inuse deleted: 0
% 0.72/1.08
% 0.72/1.08 subsentry: 52
% 0.72/1.08 literals s-matched: 30
% 0.72/1.08 literals matched: 30
% 0.72/1.08 full subsumption: 13
% 0.72/1.08
% 0.72/1.08 checksum: 660981091
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksem ended
%------------------------------------------------------------------------------