TSTP Solution File: SET843-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET843-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Mon Jul 18 22:52:39 EDT 2022
% Result : Unsatisfiable 0.38s 1.06s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET843-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Mon Jul 11 04:33:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.38/1.06 *** allocated 10000 integers for termspace/termends
% 0.38/1.06 *** allocated 10000 integers for clauses
% 0.38/1.06 *** allocated 10000 integers for justifications
% 0.38/1.06 Bliksem 1.12
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 Automatic Strategy Selection
% 0.38/1.06
% 0.38/1.06 Clauses:
% 0.38/1.06 [
% 0.38/1.06 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_Union'( Y, Z
% 0.38/1.06 ), 'tc_set'( Z ) ) ],
% 0.38/1.06 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.38/1.06 'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.38/1.06 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.38/1.06 [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 'tc_set'( Z )
% 0.38/1.06 ) ) ],
% 0.38/1.06 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.38/1.06 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ],
% 0.38/1.06 [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.38/1.06 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.38/1.06 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.38/1.06 =( X, 'c_Zorn_Osucc'( Y, X, Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ],
% 0.38/1.06 [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.38/1.06 't_a' ) ) ) ],
% 0.38/1.06 [ ~( =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ) ) ), ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ) ]
% 0.38/1.06 ,
% 0.38/1.06 [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ), =( 'v_m', 'c_Union'(
% 0.38/1.06 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ) ) ]
% 0.38/1.06 ] .
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 percentage equality = 0.300000, percentage horn = 0.900000
% 0.38/1.06 This is a problem with some equality
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 Options Used:
% 0.38/1.06
% 0.38/1.06 useres = 1
% 0.38/1.06 useparamod = 1
% 0.38/1.06 useeqrefl = 1
% 0.38/1.06 useeqfact = 1
% 0.38/1.06 usefactor = 1
% 0.38/1.06 usesimpsplitting = 0
% 0.38/1.06 usesimpdemod = 5
% 0.38/1.06 usesimpres = 3
% 0.38/1.06
% 0.38/1.06 resimpinuse = 1000
% 0.38/1.06 resimpclauses = 20000
% 0.38/1.06 substype = eqrewr
% 0.38/1.06 backwardsubs = 1
% 0.38/1.06 selectoldest = 5
% 0.38/1.06
% 0.38/1.06 litorderings [0] = split
% 0.38/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.38/1.06
% 0.38/1.06 termordering = kbo
% 0.38/1.06
% 0.38/1.06 litapriori = 0
% 0.38/1.06 termapriori = 1
% 0.38/1.06 litaposteriori = 0
% 0.38/1.06 termaposteriori = 0
% 0.38/1.06 demodaposteriori = 0
% 0.38/1.06 ordereqreflfact = 0
% 0.38/1.06
% 0.38/1.06 litselect = negord
% 0.38/1.06
% 0.38/1.06 maxweight = 15
% 0.38/1.06 maxdepth = 30000
% 0.38/1.06 maxlength = 115
% 0.38/1.06 maxnrvars = 195
% 0.38/1.06 excuselevel = 1
% 0.38/1.06 increasemaxweight = 1
% 0.38/1.06
% 0.38/1.06 maxselected = 10000000
% 0.38/1.06 maxnrclauses = 10000000
% 0.38/1.06
% 0.38/1.06 showgenerated = 0
% 0.38/1.06 showkept = 0
% 0.38/1.06 showselected = 0
% 0.38/1.06 showdeleted = 0
% 0.38/1.06 showresimp = 1
% 0.38/1.06 showstatus = 2000
% 0.38/1.06
% 0.38/1.06 prologoutput = 1
% 0.38/1.06 nrgoals = 5000000
% 0.38/1.06 totalproof = 1
% 0.38/1.06
% 0.38/1.06 Symbols occurring in the translation:
% 0.38/1.06
% 0.38/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.38/1.06 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.38/1.06 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.38/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.38/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.38/1.06 'tc_set' [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.38/1.06 'c_in' [43, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.38/1.06 'c_Union' [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.38/1.06 'c_lessequals' [45, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.38/1.06 'c_Zorn_Osucc' [48, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.38/1.06 'c_Zorn_OTFin' [49, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.38/1.06 'v_m' [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.38/1.06 'v_S' [54, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.38/1.06 't_a' [55, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 Starting Search:
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 Bliksems!, er is een bewijs:
% 0.38/1.06 % SZS status Unsatisfiable
% 0.38/1.06 % SZS output start Refutation
% 0.38/1.06
% 0.38/1.06 clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 0.38/1.06 'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.38/1.06 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 2, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 3, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 4, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.38/1.06 ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ),
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 5, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.38/1.06 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.38/1.06 ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), 'c_lessequals'( T, X,
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 7, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 8, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ), ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m'
% 0.38/1.06 ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 9, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =(
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'v_m' ) ]
% 0.38/1.06 )
% 0.38/1.06 .
% 0.38/1.06 clause( 11, [ ~( 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ),
% 0.38/1.06 =( 'c_Union'( X, Y ), Z ), ~( 'c_in'( Z, X, 'tc_set'( Y ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 12, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, Y, Z ), Y, 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( X, Y, Z ), Y ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 41, [ 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'c_Zorn_OTFin'(
% 0.38/1.06 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 47, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 48, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 49, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 52, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.38/1.06 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 61, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.38/1.06 't_a' ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 70, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.38/1.06 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 71, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a'
% 0.38/1.06 ) ), 'v_m' ) ] )
% 0.38/1.06 .
% 0.38/1.06 clause( 72, [] )
% 0.38/1.06 .
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 % SZS output end Refutation
% 0.38/1.06 found a proof!
% 0.38/1.06
% 0.38/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.38/1.06
% 0.38/1.06 initialclauses(
% 0.38/1.06 [ clause( 74, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 0.38/1.06 'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.38/1.06 , clause( 75, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.38/1.06 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.38/1.06 , clause( 76, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.38/1.06 , clause( 77, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 78, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.38/1.06 ) ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ),
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 79, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 80, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.38/1.06 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.38/1.06 ) ), ~( =( X, 'c_Zorn_Osucc'( Y, X, Z ) ) ), 'c_lessequals'( T, X,
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 81, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , clause( 82, [ ~( =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ), ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a'
% 0.38/1.06 ) ) ) ] )
% 0.38/1.06 , clause( 83, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ), =( 'v_m'
% 0.38/1.06 , 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 ] ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 0.38/1.06 'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.38/1.06 , clause( 74, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 0.38/1.06 'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.38/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.38/1.06 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.38/1.06 , clause( 75, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.38/1.06 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.38/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 2, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.38/1.06 , clause( 76, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.38/1.06 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 3, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 77, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.38/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 4, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.38/1.06 ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ),
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 78, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.38/1.06 ) ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ),
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.38/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 5, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 79, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.38/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 90, [ ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), ~( 'c_in'( X,
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_in'( T,
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T
% 0.38/1.06 , X, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 80, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.38/1.06 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.38/1.06 ) ), ~( =( X, 'c_Zorn_Osucc'( Y, X, Z ) ) ), 'c_lessequals'( T, X,
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.38/1.06 ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.38/1.06 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.38/1.06 ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), 'c_lessequals'( T, X,
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 90, [ ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), ~( 'c_in'( X,
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_in'( T,
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T
% 0.38/1.06 , X, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.38/1.06 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.38/1.06 ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 7, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , clause( 81, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 102, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ), ~(
% 0.38/1.06 =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) )
% 0.38/1.06 ) ) ] )
% 0.38/1.06 , clause( 82, [ ~( =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ), ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a'
% 0.38/1.06 ) ) ) ] )
% 0.38/1.06 , 1, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 103, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ), ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m'
% 0.38/1.06 ) ) ] )
% 0.38/1.06 , clause( 102, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ),
% 0.38/1.06 ~( =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' )
% 0.38/1.06 ) ) ) ] )
% 0.38/1.06 , 1, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 8, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ), ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m'
% 0.38/1.06 ) ) ] )
% 0.38/1.06 , clause( 103, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ), ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m'
% 0.38/1.06 ) ) ] )
% 0.38/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.38/1.06 ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 112, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ), =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ]
% 0.38/1.06 )
% 0.38/1.06 , clause( 83, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ), =( 'v_m'
% 0.38/1.06 , 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , 1, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 113, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =(
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'v_m' ) ]
% 0.38/1.06 )
% 0.38/1.06 , clause( 112, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ), =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ]
% 0.38/1.06 )
% 0.38/1.06 , 1, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 9, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =(
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'v_m' ) ]
% 0.38/1.06 )
% 0.38/1.06 , clause( 113, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =(
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'v_m' ) ]
% 0.38/1.06 )
% 0.38/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.38/1.06 ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 resolution(
% 0.38/1.06 clause( 114, [ ~( 'c_lessequals'( 'c_Union'( Y, Z ), X, 'tc_set'( Z ) ) ),
% 0.38/1.06 =( 'c_Union'( Y, Z ), X ), ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.38/1.06 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.38/1.06 , 0, clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 0.38/1.06 'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.38/1.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_Union'( Y, Z ) ), :=( Z, Z )] )
% 0.38/1.06 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 11, [ ~( 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ),
% 0.38/1.06 =( 'c_Union'( X, Y ), Z ), ~( 'c_in'( Z, X, 'tc_set'( Y ) ) ) ] )
% 0.38/1.06 , clause( 114, [ ~( 'c_lessequals'( 'c_Union'( Y, Z ), X, 'tc_set'( Z ) ) )
% 0.38/1.06 , =( 'c_Union'( Y, Z ), X ), ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.38/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 resolution(
% 0.38/1.06 clause( 116, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), X, 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ] )
% 0.38/1.06 , clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.38/1.06 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.38/1.06 , 0, clause( 3, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Zorn_Osucc'( Y, X, Z ) ),
% 0.38/1.06 :=( Z, 'tc_set'( Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.38/1.06 :=( Z, Z )] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 12, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, Y, Z ), Y, 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( X, Y, Z ), Y ) ] )
% 0.38/1.06 , clause( 116, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), X, 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ] )
% 0.38/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.38/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 resolution(
% 0.38/1.06 clause( 118, [ 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , clause( 4, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.38/1.06 ) ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ),
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , 0, clause( 7, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , 0, substitution( 0, [ :=( X, 'v_m' ), :=( Y, 'v_S' ), :=( Z, 't_a' )] ),
% 0.38/1.06 substitution( 1, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 41, [ 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'c_Zorn_OTFin'(
% 0.38/1.06 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , clause( 118, [ 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 resolution(
% 0.38/1.06 clause( 119, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 0.38/1.06 'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.38/1.06 , 0, clause( 41, [ 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , 0, substitution( 0, [ :=( X, 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ),
% 0.38/1.06 :=( Y, 'c_Zorn_OTFin'( 'v_S', 't_a' ) ), :=( Z, 'tc_set'( 't_a' ) )] ),
% 0.38/1.06 substitution( 1, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 47, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , clause( 119, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 120, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ), =(
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'v_m' ) ]
% 0.38/1.06 )
% 0.38/1.06 , clause( 9, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =(
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'v_m' ) ]
% 0.38/1.06 )
% 0.38/1.06 , 0, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 paramod(
% 0.38/1.06 clause( 124, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m'
% 0.38/1.06 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m'
% 0.38/1.06 , 't_a' ) ) ] )
% 0.38/1.06 , clause( 120, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ), =(
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'v_m' ) ]
% 0.38/1.06 )
% 0.38/1.06 , 1, clause( 47, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.38/1.06 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 resolution(
% 0.38/1.06 clause( 127, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =( 'v_m'
% 0.38/1.06 , 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.38/1.06 , clause( 12, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, Y, Z ), Y, 'tc_set'(
% 0.38/1.06 'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( X, Y, Z ), Y ) ] )
% 0.38/1.06 , 0, clause( 124, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.38/1.06 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'v_m', 'c_Zorn_Osucc'( 'v_S',
% 0.38/1.06 'v_m', 't_a' ) ) ] )
% 0.38/1.06 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_m' ), :=( Z, 't_a' )] ),
% 0.38/1.06 substitution( 1, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 129, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =(
% 0.38/1.06 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.38/1.06 , clause( 127, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =(
% 0.38/1.06 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.38/1.06 , 1, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 factor(
% 0.38/1.06 clause( 131, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.38/1.06 , clause( 129, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ), =(
% 0.38/1.06 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.38/1.06 , 0, 1, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 48, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.38/1.06 , clause( 131, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.38/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 132, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.38/1.06 , clause( 48, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.38/1.06 , 0, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 134, [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ), ~(
% 0.38/1.06 =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ), 'v_m'
% 0.38/1.06 ) ) ] )
% 0.38/1.06 , clause( 8, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ), ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m'
% 0.38/1.06 ) ) ] )
% 0.38/1.06 , 1, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 135, [ ~( =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ), ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a'
% 0.38/1.06 ) ) ) ] )
% 0.38/1.06 , clause( 134, [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ),
% 0.38/1.06 ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' ) ),
% 0.38/1.06 'v_m' ) ) ] )
% 0.38/1.06 , 1, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 resolution(
% 0.38/1.06 clause( 136, [ ~( =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ) ] )
% 0.38/1.06 , clause( 135, [ ~( =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ), ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a'
% 0.38/1.06 ) ) ) ] )
% 0.38/1.06 , 1, clause( 132, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.38/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 eqswap(
% 0.38/1.06 clause( 137, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ) ] )
% 0.38/1.06 , clause( 136, [ ~( =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.38/1.06 'tc_set'( 't_a' ) ) ) ) ] )
% 0.38/1.06 , 0, substitution( 0, [] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 49, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ) ] )
% 0.38/1.06 , clause( 137, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.38/1.06 't_a' ) ), 'v_m' ) ) ] )
% 0.38/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 resolution(
% 0.38/1.06 clause( 138, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.38/1.06 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.38/1.06 , clause( 5, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.38/1.06 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.38/1.06 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.38/1.06 , 0, clause( 2, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.38/1.06 , 0, substitution( 0, [ :=( X, 'c_Zorn_OTFin'( X, Y ) ), :=( Y, X ), :=( Z
% 0.38/1.06 , Y )] ), substitution( 1, [ :=( X, 'c_Zorn_OTFin'( X, Y ) ), :=( Y,
% 0.38/1.06 'tc_set'( 'tc_set'( Y ) ) )] )).
% 0.38/1.06
% 0.38/1.06
% 0.38/1.06 subsumption(
% 0.38/1.06 clause( 52, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.38/1.06 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.38/1.06 , clause( 138, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) )
% 0.38/1.06 , 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.70/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.06 )] ) ).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 eqswap(
% 0.70/1.06 clause( 139, [ ~( =( Y, 'c_Zorn_Osucc'( X, Y, Z ) ) ), ~( 'c_in'( Y,
% 0.70/1.06 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_in'( T,
% 0.70/1.06 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T
% 0.70/1.06 , Y, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.70/1.06 , clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.70/1.06 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.70/1.06 ) ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), 'c_lessequals'( T, X,
% 0.70/1.06 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.70/1.06 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.70/1.06 ).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 eqswap(
% 0.70/1.06 clause( 140, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.70/1.06 , clause( 48, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.70/1.06 , 0, substitution( 0, [] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 resolution(
% 0.70/1.06 clause( 141, [ ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , clause( 139, [ ~( =( Y, 'c_Zorn_Osucc'( X, Y, Z ) ) ), ~( 'c_in'( Y,
% 0.70/1.06 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_in'( T,
% 0.70/1.06 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T
% 0.70/1.06 , Y, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.70/1.06 , 0, clause( 140, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.70/1.06 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_m' ), :=( Z, 't_a' ),
% 0.70/1.06 :=( T, X )] ), substitution( 1, [] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 resolution(
% 0.70/1.06 clause( 144, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.70/1.06 't_a' ) ) ) ] )
% 0.70/1.06 , clause( 141, [ ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , 0, clause( 7, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 subsumption(
% 0.70/1.06 clause( 61, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.70/1.06 't_a' ) ) ) ] )
% 0.70/1.06 , clause( 144, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.70/1.06 't_a' ) ) ) ] )
% 0.70/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.06 1 )] ) ).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 resolution(
% 0.70/1.06 clause( 145, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , clause( 61, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.70/1.06 't_a' ) ) ) ] )
% 0.70/1.06 , 0, clause( 52, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y )
% 0.70/1.06 ), 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.70/1.06 , 0, substitution( 0, [ :=( X, 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 't_a' ) ) )] ), substitution( 1, [ :=( X, 'v_S' ), :=( Y, 't_a'
% 0.70/1.06 )] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 subsumption(
% 0.70/1.06 clause( 70, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , clause( 145, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' )
% 0.70/1.06 , 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 eqswap(
% 0.70/1.06 clause( 146, [ =( Z, 'c_Union'( X, Y ) ), ~( 'c_lessequals'( 'c_Union'( X,
% 0.70/1.06 Y ), Z, 'tc_set'( Y ) ) ), ~( 'c_in'( Z, X, 'tc_set'( Y ) ) ) ] )
% 0.70/1.06 , clause( 11, [ ~( 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) )
% 0.70/1.06 , =( 'c_Union'( X, Y ), Z ), ~( 'c_in'( Z, X, 'tc_set'( Y ) ) ) ] )
% 0.70/1.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 resolution(
% 0.70/1.06 clause( 147, [ =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 't_a' ) ) ), ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.70/1.06 , clause( 146, [ =( Z, 'c_Union'( X, Y ) ), ~( 'c_lessequals'( 'c_Union'( X
% 0.70/1.06 , Y ), Z, 'tc_set'( Y ) ) ), ~( 'c_in'( Z, X, 'tc_set'( Y ) ) ) ] )
% 0.70/1.06 , 1, clause( 70, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a'
% 0.70/1.06 ), 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , 0, substitution( 0, [ :=( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ) ), :=( Y,
% 0.70/1.06 'tc_set'( 't_a' ) ), :=( Z, 'v_m' )] ), substitution( 1, [] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 resolution(
% 0.70/1.06 clause( 148, [ =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , clause( 147, [ =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 't_a' ) ) ), ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.70/1.06 , 1, clause( 7, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 eqswap(
% 0.70/1.06 clause( 149, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 't_a' ) ), 'v_m' ) ] )
% 0.70/1.06 , clause( 148, [ =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.70/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.70/1.06 , 0, substitution( 0, [] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 subsumption(
% 0.70/1.06 clause( 71, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a'
% 0.70/1.06 ) ), 'v_m' ) ] )
% 0.70/1.06 , clause( 149, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 't_a' ) ), 'v_m' ) ] )
% 0.70/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 resolution(
% 0.70/1.06 clause( 152, [] )
% 0.70/1.06 , clause( 49, [ ~( =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 't_a' ) ), 'v_m' ) ) ] )
% 0.70/1.06 , 0, clause( 71, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.70/1.06 't_a' ) ), 'v_m' ) ] )
% 0.70/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 subsumption(
% 0.70/1.06 clause( 72, [] )
% 0.70/1.06 , clause( 152, [] )
% 0.70/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 end.
% 0.70/1.06
% 0.70/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.06
% 0.70/1.06 Memory use:
% 0.70/1.06
% 0.70/1.06 space for terms: 2143
% 0.70/1.06 space for clauses: 5418
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 clauses generated: 743
% 0.70/1.06 clauses kept: 73
% 0.70/1.06 clauses selected: 23
% 0.70/1.06 clauses deleted: 1
% 0.70/1.06 clauses inuse deleted: 0
% 0.70/1.06
% 0.70/1.06 subsentry: 434
% 0.70/1.06 literals s-matched: 284
% 0.70/1.06 literals matched: 277
% 0.70/1.06 full subsumption: 96
% 0.70/1.06
% 0.70/1.06 checksum: -439084503
% 0.70/1.06
% 0.70/1.06
% 0.70/1.06 Bliksem ended
%------------------------------------------------------------------------------