TSTP Solution File: SET857-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 22:52:53 EDT 2022
% Result : Unsatisfiable 9.10s 9.47s
% Output : Refutation 9.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jul 10 19:41:26 EDT 2022
% 0.14/0.34 % CPUTime :
% 9.10/9.47 *** allocated 10000 integers for termspace/termends
% 9.10/9.47 *** allocated 10000 integers for clauses
% 9.10/9.47 *** allocated 10000 integers for justifications
% 9.10/9.47 Bliksem 1.12
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 Automatic Strategy Selection
% 9.10/9.47
% 9.10/9.47 Clauses:
% 9.10/9.47 [
% 9.10/9.47 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 9.10/9.47 'c_in'( X, T, Z ) ],
% 9.10/9.47 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 9.10/9.47 , 'tc_set'( Z ) ) ],
% 9.10/9.47 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 9.10/9.47 X, Y, 'tc_set'( Z ) ) ],
% 9.10/9.47 [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ],
% 9.10/9.47 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'( Y,
% 9.10/9.47 Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ) ],
% 9.10/9.47 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ],
% 9.10/9.47 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 9.10/9.47 =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ), 'c_lessequals'( T
% 9.10/9.47 , X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z
% 9.10/9.47 ), T, 'tc_set'( 'tc_set'( Z ) ) ) ],
% 9.10/9.47 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( Y, 'c_Zorn_OTFin__linear__lemma1__1'( Y,
% 9.10/9.47 X, Z ), Z ), X, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T, X,
% 9.10/9.47 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T
% 9.10/9.47 , 'tc_set'( 'tc_set'( Z ) ) ) ],
% 9.10/9.47 [ 'c_lessequals'( 'v_Y', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 9.10/9.47 [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ],
% 9.10/9.47 [ 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ],
% 9.10/9.47 [ ~( 'c_lessequals'( 'v_x', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 9.10/9.47 ,
% 9.10/9.47 [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 9.10/9.47 [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ]
% 9.10/9.47 ] .
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 percentage equality = 0.052632, percentage horn = 0.571429
% 9.10/9.47 This is a problem with some equality
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 Options Used:
% 9.10/9.47
% 9.10/9.47 useres = 1
% 9.10/9.47 useparamod = 1
% 9.10/9.47 useeqrefl = 1
% 9.10/9.47 useeqfact = 1
% 9.10/9.47 usefactor = 1
% 9.10/9.47 usesimpsplitting = 0
% 9.10/9.47 usesimpdemod = 5
% 9.10/9.47 usesimpres = 3
% 9.10/9.47
% 9.10/9.47 resimpinuse = 1000
% 9.10/9.47 resimpclauses = 20000
% 9.10/9.47 substype = eqrewr
% 9.10/9.47 backwardsubs = 1
% 9.10/9.47 selectoldest = 5
% 9.10/9.47
% 9.10/9.47 litorderings [0] = split
% 9.10/9.47 litorderings [1] = extend the termordering, first sorting on arguments
% 9.10/9.47
% 9.10/9.47 termordering = kbo
% 9.10/9.47
% 9.10/9.47 litapriori = 0
% 9.10/9.47 termapriori = 1
% 9.10/9.47 litaposteriori = 0
% 9.10/9.47 termaposteriori = 0
% 9.10/9.47 demodaposteriori = 0
% 9.10/9.47 ordereqreflfact = 0
% 9.10/9.47
% 9.10/9.47 litselect = negord
% 9.10/9.47
% 9.10/9.47 maxweight = 15
% 9.10/9.47 maxdepth = 30000
% 9.10/9.47 maxlength = 115
% 9.10/9.47 maxnrvars = 195
% 9.10/9.47 excuselevel = 1
% 9.10/9.47 increasemaxweight = 1
% 9.10/9.47
% 9.10/9.47 maxselected = 10000000
% 9.10/9.47 maxnrclauses = 10000000
% 9.10/9.47
% 9.10/9.47 showgenerated = 0
% 9.10/9.47 showkept = 0
% 9.10/9.47 showselected = 0
% 9.10/9.47 showdeleted = 0
% 9.10/9.47 showresimp = 1
% 9.10/9.47 showstatus = 2000
% 9.10/9.47
% 9.10/9.47 prologoutput = 1
% 9.10/9.47 nrgoals = 5000000
% 9.10/9.47 totalproof = 1
% 9.10/9.47
% 9.10/9.47 Symbols occurring in the translation:
% 9.10/9.47
% 9.10/9.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.10/9.47 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 9.10/9.47 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 9.10/9.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.10/9.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.10/9.47 'c_in' [42, 3] (w:1, o:56, a:1, s:1, b:0),
% 9.10/9.47 'tc_set' [44, 1] (w:1, o:29, a:1, s:1, b:0),
% 9.10/9.47 'c_lessequals' [45, 3] (w:1, o:57, a:1, s:1, b:0),
% 9.10/9.47 'c_Main_OsubsetI__1' [46, 3] (w:1, o:58, a:1, s:1, b:0),
% 9.10/9.47 'c_Zorn_Osucc' [49, 3] (w:1, o:59, a:1, s:1, b:0),
% 9.10/9.47 'c_Zorn_OTFin' [51, 2] (w:1, o:55, a:1, s:1, b:0),
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1' [53, 3] (w:1, o:60, a:1, s:1, b:0)
% 9.10/9.47 ,
% 9.10/9.47 'v_Y' [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 9.10/9.47 'v_S' [55, 0] (w:1, o:18, a:1, s:1, b:0),
% 9.10/9.47 't_a' [56, 0] (w:1, o:19, a:1, s:1, b:0),
% 9.10/9.47 'v_n' [57, 0] (w:1, o:20, a:1, s:1, b:0),
% 9.10/9.47 'v_x' [58, 0] (w:1, o:21, a:1, s:1, b:0).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 Starting Search:
% 9.10/9.47
% 9.10/9.47 Resimplifying inuse:
% 9.10/9.47 Done
% 9.10/9.47
% 9.10/9.47 Failed to find proof!
% 9.10/9.47 maxweight = 15
% 9.10/9.47 maxnrclauses = 10000000
% 9.10/9.47 Generated: 506476
% 9.10/9.47 Kept: 341
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 The strategy used was not complete!
% 9.10/9.47
% 9.10/9.47 Increased maxweight to 16
% 9.10/9.47
% 9.10/9.47 Starting Search:
% 9.10/9.47
% 9.10/9.47 Resimplifying inuse:
% 9.10/9.47 Done
% 9.10/9.47
% 9.10/9.47 Failed to find proof!
% 9.10/9.47 maxweight = 16
% 9.10/9.47 maxnrclauses = 10000000
% 9.10/9.47 Generated: 511894
% 9.10/9.47 Kept: 349
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 The strategy used was not complete!
% 9.10/9.47
% 9.10/9.47 Increased maxweight to 17
% 9.10/9.47
% 9.10/9.47 Starting Search:
% 9.10/9.47
% 9.10/9.47 Resimplifying inuse:
% 9.10/9.47 Done
% 9.10/9.47
% 9.10/9.47 Failed to find proof!
% 9.10/9.47 maxweight = 17
% 9.10/9.47 maxnrclauses = 10000000
% 9.10/9.47 Generated: 523927
% 9.10/9.47 Kept: 361
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 The strategy used was not complete!
% 9.10/9.47
% 9.10/9.47 Increased maxweight to 18
% 9.10/9.47
% 9.10/9.47 Starting Search:
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 Bliksems!, er is een bewijs:
% 9.10/9.47 % SZS status Unsatisfiable
% 9.10/9.47 % SZS output start Refutation
% 9.10/9.47
% 9.10/9.47 clause( 0, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 9.10/9.47 ) ), 'c_in'( X, T, Z ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 1, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 2, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 3, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 4, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'(
% 9.10/9.47 Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 5, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 9.10/9.47 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 7, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 8, [ 'c_lessequals'( 'v_Y', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 9, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 10, [ 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 11, [ ~( 'c_lessequals'( 'v_x', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 12, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ),
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 13, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 9.10/9.47 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 20, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Zorn_Osucc'(
% 9.10/9.47 T, Y, Z ), 'tc_set'( Z ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 22, [ ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ) ), 'c_in'( 'v_x', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 27, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 28, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 33, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'( 't_a' )
% 9.10/9.47 ), 'v_x', 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 46, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 9.10/9.47 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 51, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'( 't_a' )
% 9.10/9.47 ), 'c_Zorn_Osucc'( X, 'v_x', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 67, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 9.10/9.47 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 77, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 89, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 X, 't_a' ), X ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 117, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 9.10/9.47 , 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 143, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 146, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 277, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_x', 't_a' ), 'v_n'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 294, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 303, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'( 't_a'
% 9.10/9.47 ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 304, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 390, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 , 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 391, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 430, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 434, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 475, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 9.10/9.47 ), 'v_x' ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 476, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 9.10/9.47 ), 'v_x' ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 486, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 9.10/9.47 'v_S', 'v_x', 't_a' ), 'v_x' ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 487, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 501, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 .
% 9.10/9.47 clause( 503, [] )
% 9.10/9.47 .
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 % SZS output end Refutation
% 9.10/9.47 found a proof!
% 9.10/9.47
% 9.10/9.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 9.10/9.47
% 9.10/9.47 initialclauses(
% 9.10/9.47 [ clause( 505, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 9.10/9.47 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 9.10/9.47 , clause( 506, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 , clause( 507, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 , clause( 508, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , clause( 509, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 9.10/9.47 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 9.10/9.47 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 9.10/9.47 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , clause( 510, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 , clause( 511, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 9.10/9.47 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , clause( 512, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , clause( 513, [ 'c_lessequals'( 'v_Y', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 514, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 515, [ 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 516, [ ~( 'c_lessequals'( 'v_x', 'v_n', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , clause( 517, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ),
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 518, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 9.10/9.47 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 ] ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 0, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 9.10/9.47 ) ), 'c_in'( X, T, Z ) ] )
% 9.10/9.47 , clause( 505, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 9.10/9.47 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 1, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 , clause( 506, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 2, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 , clause( 507, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 3, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , clause( 508, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 4, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'(
% 9.10/9.47 Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , clause( 509, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 9.10/9.47 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 9.10/9.47 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 9.10/9.47 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 9.10/9.47 ==>( 4, 4 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 5, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 , clause( 510, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 9.10/9.47 ==>( 4, 4 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 9.10/9.47 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , clause( 511, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 9.10/9.47 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 9.10/9.47 ==>( 4, 4 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 7, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , clause( 512, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 9.10/9.47 ==>( 4, 4 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 8, [ 'c_lessequals'( 'v_Y', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 513, [ 'c_lessequals'( 'v_Y', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 9, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 514, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 10, [ 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 515, [ 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 11, [ ~( 'c_lessequals'( 'v_x', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 , clause( 516, [ ~( 'c_lessequals'( 'v_x', 'v_n', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 12, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ),
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 517, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ),
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 13, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 9.10/9.47 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 518, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 9.10/9.47 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 9.10/9.47 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 579, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 9.10/9.47 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( Z ) ) ] )
% 9.10/9.47 , clause( 0, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 9.10/9.47 ) ) ), 'c_in'( X, T, Z ) ] )
% 9.10/9.47 , 1, clause( 3, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 9.10/9.47 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'tc_set'( Z ) ),
% 9.10/9.47 :=( T, 'c_Zorn_Osucc'( T, Y, Z ) )] ), substitution( 1, [ :=( X, Y ),
% 9.10/9.47 :=( Y, T ), :=( Z, Z )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 20, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Zorn_Osucc'(
% 9.10/9.47 T, Y, Z ), 'tc_set'( Z ) ) ] )
% 9.10/9.47 , clause( 579, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 9.10/9.47 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( Z ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 9.10/9.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 580, [ ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ) ), 'c_in'( 'v_x', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 0, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 9.10/9.47 ) ) ), 'c_in'( X, T, Z ) ] )
% 9.10/9.47 , 0, clause( 10, [ 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ]
% 9.10/9.47 )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, 'v_x' ), :=( Y, 'v_Y' ), :=( Z, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ), :=( T, X )] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 22, [ ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ) ), 'c_in'( 'v_x', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 580, [ ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ) ), 'c_in'( 'v_x', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 9.10/9.47 1 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 581, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 11, [ ~( 'c_lessequals'( 'v_x', 'v_n', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 2, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 'v_n'
% 9.10/9.47 ), :=( Z, 'tc_set'( 't_a' ) )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 27, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 581, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 582, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 27, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, clause( 0, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 9.10/9.47 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 9.10/9.47 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'(
% 9.10/9.47 'v_x', 'v_n', 'tc_set'( 't_a' ) ) ), :=( Y, X ), :=( Z, 'tc_set'( 't_a' )
% 9.10/9.47 ), :=( T, 'v_n' )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 28, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 582, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 9.10/9.47 1 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 583, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'( 't_a'
% 9.10/9.47 ) ), 'v_x', 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , clause( 11, [ ~( 'c_lessequals'( 'v_x', 'v_n', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 1, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 9.10/9.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 'v_n'
% 9.10/9.47 ), :=( Z, 'tc_set'( 't_a' ) )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 33, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'( 't_a' )
% 9.10/9.47 ), 'v_x', 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , clause( 583, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_x', 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 585, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 9.10/9.47 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 4, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 9.10/9.47 ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 9.10/9.47 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 9.10/9.47 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 9.10/9.47 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , 1, clause( 9, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T,
% 9.10/9.47 'v_n' )] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 46, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 9.10/9.47 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 585, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 9.10/9.47 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 9.10/9.47 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 586, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'( 't_a'
% 9.10/9.47 ) ), 'c_Zorn_Osucc'( X, 'v_x', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , clause( 20, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 9.10/9.47 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( Z ) ) ] )
% 9.10/9.47 , 0, clause( 33, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_x', 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ) ), :=( Y, 'v_x' ), :=( Z, 't_a' ), :=( T, X )] ),
% 9.10/9.47 substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 51, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'( 't_a' )
% 9.10/9.47 ), 'c_Zorn_Osucc'( X, 'v_x', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , clause( 586, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'c_Zorn_Osucc'( X, 'v_x', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 588, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 9.10/9.47 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , clause( 5, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 9.10/9.47 ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 , 1, clause( 9, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T,
% 9.10/9.47 'v_n' )] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 67, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 9.10/9.47 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , clause( 588, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 9.10/9.47 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 9.10/9.47 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 590, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 22, [ ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ) ), 'c_in'( 'v_x', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, clause( 8, [ 'c_lessequals'( 'v_Y', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ) )] ),
% 9.10/9.47 substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 77, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 590, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 591, [ ~( =( Y, 'c_Zorn_OTFin__linear__lemma1__1'( X, Y, Z ) ) ),
% 9.10/9.47 ~( 'c_in'( Y, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 9.10/9.47 'c_in'( T, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 'c_lessequals'( T, Y, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( X, Y, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 9.10/9.47 ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 9.10/9.47 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 593, [ ~( =( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a'
% 9.10/9.47 ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 , 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 591, [ ~( =( Y, 'c_Zorn_OTFin__linear__lemma1__1'( X, Y, Z ) ) )
% 9.10/9.47 , ~( 'c_in'( Y, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 ~( 'c_in'( T, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 9.10/9.47 'c_lessequals'( T, Y, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( X, Y, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 9.10/9.47 , 2, clause( 9, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, X ), :=( Z, 't_a' ), :=( T,
% 9.10/9.47 'v_n' )] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 594, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ),
% 9.10/9.47 X ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 , 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 593, [ ~( =( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X,
% 9.10/9.47 't_a' ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, X )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 89, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 X, 't_a' ), X ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 594, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' )
% 9.10/9.47 , X ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 , 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 9.10/9.47 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 597, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 9.10/9.47 , 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 7, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 9.10/9.47 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 9.10/9.47 ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 9.10/9.47 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , 1, clause( 9, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T,
% 9.10/9.47 'v_n' )] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 117, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 9.10/9.47 , 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 597, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 9.10/9.47 , 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 9.10/9.47 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 598, [ =( Y, X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 9.10/9.47 , Y, 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 13, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 9.10/9.47 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 599, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' )
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x', 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 12, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ),
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 598, [ =( Y, X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 9.10/9.47 't_a' ), Y, 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 9.10/9.47 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_n' ), :=( Y, 'v_x'
% 9.10/9.47 )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 600, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 599, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x',
% 9.10/9.47 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 2, clause( 9, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 143, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 600, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x', 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 9.10/9.47 , 2 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 602, [ =( Y, X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 9.10/9.47 , Y, 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 13, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 9.10/9.47 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 603, [ =( 'v_x', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 602, [ =( Y, X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a'
% 9.10/9.47 ), Y, 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 4, clause( 10, [ 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ]
% 9.10/9.47 )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_x' )] ), substitution( 1, [] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 604, [ =( X, 'v_x' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 603, [ =( 'v_x', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, X )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 146, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 604, [ =( X, 'v_x' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 9.10/9.47 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 605, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_x', 't_a' ), 'v_n'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 28, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 51, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'c_Zorn_Osucc'( X, 'v_x', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, 'c_Zorn_Osucc'( X, 'v_x', 't_a' ) )] ),
% 9.10/9.47 substitution( 1, [ :=( X, X )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 277, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_x', 't_a' ), 'v_n'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 605, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_x', 't_a' ),
% 9.10/9.47 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 607, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 143, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x', 'v_Y', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 2, clause( 10, [ 'c_in'( 'v_x', 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ]
% 9.10/9.47 )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 294, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 607, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 paramod(
% 9.10/9.47 clause( 611, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'( 't_a'
% 9.10/9.47 ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 294, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 33, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_x', 'tc_set'( 't_a' ) ) ] )
% 9.10/9.47 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 paramod(
% 9.10/9.47 clause( 612, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'( 't_a'
% 9.10/9.47 ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 294, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 611, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 factor(
% 9.10/9.47 clause( 624, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'( 't_a'
% 9.10/9.47 ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 612, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 1, 2, substitution( 0, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 303, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'( 't_a'
% 9.10/9.47 ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 624, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 paramod(
% 9.10/9.47 clause( 626, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_n', 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 294, [ =( 'v_x', 'v_n' ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 27, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 637, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ) ] )
% 9.10/9.47 , clause( 626, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_n', 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 303, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_n', 'v_n', 'tc_set'(
% 9.10/9.47 't_a' ) ), 'v_n', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_n', 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 factor(
% 9.10/9.47 clause( 638, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 , clause( 637, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ), ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ) ) ] )
% 9.10/9.47 , 0, 1, substitution( 0, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 304, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ) ] )
% 9.10/9.47 , clause( 638, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 639, [ ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 9.10/9.47 , 'v_x', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ) ] )
% 9.10/9.47 , clause( 277, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_x', 't_a' ),
% 9.10/9.47 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 46, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 9.10/9.47 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 9.10/9.47 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 3, substitution( 0, [ :=( X, 'v_S' )] ), substitution( 1, [ :=( X, 'v_x'
% 9.10/9.47 )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 640, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 , 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 639, [ ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 9.10/9.47 , 'v_x', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ) ] )
% 9.10/9.47 , 0, clause( 77, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 390, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 , 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 640, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 , 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 641, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , clause( 304, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 390, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 9.10/9.47 , 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 391, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , clause( 641, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 642, [ ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 277, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_x', 't_a' ),
% 9.10/9.47 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 67, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 9.10/9.47 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 9.10/9.47 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 ] )
% 9.10/9.47 , 3, substitution( 0, [ :=( X, 'v_S' )] ), substitution( 1, [ :=( X, 'v_x'
% 9.10/9.47 )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 643, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 642, [ ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, clause( 77, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 430, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 643, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 644, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 304, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 430, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 434, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 644, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 645, [ ~( =( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a'
% 9.10/9.47 ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 9.10/9.47 , 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 89, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 X, 't_a' ), X ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [ :=( X, X )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 646, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 9.10/9.47 , 't_a' ) ) ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 277, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_x', 't_a' ),
% 9.10/9.47 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 645, [ ~( =( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X,
% 9.10/9.47 't_a' ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 3, substitution( 0, [ :=( X, 'v_S' )] ), substitution( 1, [ :=( X, 'v_x'
% 9.10/9.47 )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 647, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 9.10/9.47 , 't_a' ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ] )
% 9.10/9.47 , clause( 646, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ) ) ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 1, clause( 77, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 648, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 9.10/9.47 ), 'v_x' ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ] )
% 9.10/9.47 , clause( 647, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 475, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 9.10/9.47 ), 'v_x' ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ) ] )
% 9.10/9.47 , clause( 648, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x' ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 650, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 9.10/9.47 ), 'v_x' ) ) ] )
% 9.10/9.47 , clause( 304, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 475, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x' ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 476, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 9.10/9.47 ), 'v_x' ) ) ] )
% 9.10/9.47 , clause( 650, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x' ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 652, [ =( 'v_x', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 146, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 1, substitution( 0, [ :=( X, X )] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 653, [ =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_in'(
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , clause( 652, [ =( 'v_x', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 9.10/9.47 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 9.10/9.47 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 2, clause( 434, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'(
% 9.10/9.47 'v_S', 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 9.10/9.47 'v_x', 't_a' ) )] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 654, [ =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 653, [ =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 9.10/9.47 , 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_in'(
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 'c_Zorn_OTFin'(
% 9.10/9.47 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 2, clause( 391, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 9.10/9.47 , 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 eqswap(
% 9.10/9.47 clause( 655, [ =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' )
% 9.10/9.47 , 'v_x' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 654, [ =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 9.10/9.47 , 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 486, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 9.10/9.47 'v_S', 'v_x', 't_a' ), 'v_x' ) ] )
% 9.10/9.47 , clause( 655, [ =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 9.10/9.47 ), 'v_x' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 658, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 476, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 9.10/9.47 't_a' ), 'v_x' ) ) ] )
% 9.10/9.47 , 0, clause( 486, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 9.10/9.47 'v_S', 'v_x', 't_a' ), 'v_x' ) ] )
% 9.10/9.47 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 487, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 658, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 659, [ ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_n'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 117, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', X, 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 9.10/9.47 , 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 1, clause( 487, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 9.10/9.47 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, 'v_x' )] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 660, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 659, [ ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'(
% 9.10/9.47 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_n'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, clause( 77, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 9.10/9.47 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 501, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 9.10/9.47 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 660, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 9.10/9.47 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 9.10/9.47 ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 661, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_n'
% 9.10/9.47 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , clause( 304, [ ~( 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 501, [ 'c_lessequals'( 'v_n', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 9.10/9.47 ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_n',
% 9.10/9.47 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 resolution(
% 9.10/9.47 clause( 662, [] )
% 9.10/9.47 , clause( 277, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_x', 't_a' ),
% 9.10/9.47 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 9.10/9.47 , 0, clause( 661, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 9.10/9.47 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 9.10/9.47 , 0, substitution( 0, [ :=( X, 'v_S' )] ), substitution( 1, [] )).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 subsumption(
% 9.10/9.47 clause( 503, [] )
% 9.10/9.47 , clause( 662, [] )
% 9.10/9.47 , substitution( 0, [] ), permutation( 0, [] ) ).
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 end.
% 9.10/9.47
% 9.10/9.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 9.10/9.47
% 9.10/9.47 Memory use:
% 9.10/9.47
% 9.10/9.47 space for terms: 17589
% 9.10/9.47 space for clauses: 33268
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 clauses generated: 47603
% 9.10/9.47 clauses kept: 504
% 9.10/9.47 clauses selected: 317
% 9.10/9.47 clauses deleted: 37
% 9.10/9.47 clauses inuse deleted: 0
% 9.10/9.47
% 9.10/9.47 subsentry: 4670
% 9.10/9.47 literals s-matched: 3668
% 9.10/9.47 literals matched: 3469
% 9.10/9.47 full subsumption: 558
% 9.10/9.47
% 9.10/9.47 checksum: -749155141
% 9.10/9.47
% 9.10/9.47
% 9.10/9.47 Bliksem ended
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