%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET853-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 22:52:49 EDT 2022
% Result : Unsatisfiable 5.88s 6.23s
% Output : Refutation 5.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET853-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n013.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 : Sat Jul 9 17:53:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 5.88/6.23 *** allocated 10000 integers for termspace/termends
% 5.88/6.23 *** allocated 10000 integers for clauses
% 5.88/6.23 *** allocated 10000 integers for justifications
% 5.88/6.23 Bliksem 1.12
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 Automatic Strategy Selection
% 5.88/6.23
% 5.88/6.23 Clauses:
% 5.88/6.23 [
% 5.88/6.23 [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ],
% 5.88/6.23 [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ],
% 5.88/6.23 [ 'c_lessequals'( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ],
% 5.88/6.23 [ ~( =( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ) ) ) ],
% 5.88/6.23 [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' ),
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 5.88/6.23 ],
% 5.88/6.23 [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X, 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 5.88/6.23 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 5.88/6.23 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 5.88/6.23 'tc_set'( Z ) ) ), =( Y, X ) ],
% 5.88/6.23 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 5.88/6.23 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'( Y,
% 5.88/6.23 Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 5.88/6.23 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 5.88/6.23 'tc_set'( Z ) ) ) ],
% 5.88/6.23 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ],
% 5.88/6.23 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 5.88/6.23 =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ), 'c_lessequals'( T
% 5.88/6.23 , X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z
% 5.88/6.23 ), T, 'tc_set'( 'tc_set'( Z ) ) ) ],
% 5.88/6.23 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( Y, 'c_Zorn_OTFin__linear__lemma1__1'( Y,
% 5.88/6.23 X, Z ), Z ), X, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T, X,
% 5.88/6.23 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T
% 5.88/6.23 , 'tc_set'( 'tc_set'( Z ) ) ) ],
% 5.88/6.23 [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'(
% 5.88/6.23 X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ]
% 5.88/6.23 ] .
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 percentage equality = 0.114286, percentage horn = 0.615385
% 5.88/6.23 This is a problem with some equality
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 Options Used:
% 5.88/6.23
% 5.88/6.23 useres = 1
% 5.88/6.23 useparamod = 1
% 5.88/6.23 useeqrefl = 1
% 5.88/6.23 useeqfact = 1
% 5.88/6.23 usefactor = 1
% 5.88/6.23 usesimpsplitting = 0
% 5.88/6.23 usesimpdemod = 5
% 5.88/6.23 usesimpres = 3
% 5.88/6.23
% 5.88/6.23 resimpinuse = 1000
% 5.88/6.23 resimpclauses = 20000
% 5.88/6.23 substype = eqrewr
% 5.88/6.23 backwardsubs = 1
% 5.88/6.23 selectoldest = 5
% 5.88/6.23
% 5.88/6.23 litorderings [0] = split
% 5.88/6.23 litorderings [1] = extend the termordering, first sorting on arguments
% 5.88/6.23
% 5.88/6.23 termordering = kbo
% 5.88/6.23
% 5.88/6.23 litapriori = 0
% 5.88/6.23 termapriori = 1
% 5.88/6.23 litaposteriori = 0
% 5.88/6.23 termaposteriori = 0
% 5.88/6.23 demodaposteriori = 0
% 5.88/6.23 ordereqreflfact = 0
% 5.88/6.23
% 5.88/6.23 litselect = negord
% 5.88/6.23
% 5.88/6.23 maxweight = 15
% 5.88/6.23 maxdepth = 30000
% 5.88/6.23 maxlength = 115
% 5.88/6.23 maxnrvars = 195
% 5.88/6.23 excuselevel = 1
% 5.88/6.23 increasemaxweight = 1
% 5.88/6.23
% 5.88/6.23 maxselected = 10000000
% 5.88/6.23 maxnrclauses = 10000000
% 5.88/6.23
% 5.88/6.23 showgenerated = 0
% 5.88/6.23 showkept = 0
% 5.88/6.23 showselected = 0
% 5.88/6.23 showdeleted = 0
% 5.88/6.23 showresimp = 1
% 5.88/6.23 showstatus = 2000
% 5.88/6.23
% 5.88/6.23 prologoutput = 1
% 5.88/6.23 nrgoals = 5000000
% 5.88/6.23 totalproof = 1
% 5.88/6.23
% 5.88/6.23 Symbols occurring in the translation:
% 5.88/6.23
% 5.88/6.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.88/6.23 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 5.88/6.23 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 5.88/6.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.88/6.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.88/6.23 'v_x' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.88/6.23 'v_S' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 5.88/6.23 't_a' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 5.88/6.23 'c_Zorn_OTFin' [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 5.88/6.23 'tc_set' [43, 1] (w:1, o:27, a:1, s:1, b:0),
% 5.88/6.23 'c_in' [44, 3] (w:1, o:54, a:1, s:1, b:0),
% 5.88/6.23 'v_xa' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 5.88/6.23 'c_Zorn_Osucc' [46, 3] (w:1, o:55, a:1, s:1, b:0),
% 5.88/6.23 'c_lessequals' [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1' [55, 3] (w:1, o:57, a:1, s:1, b:0)
% 5.88/6.23 .
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 Starting Search:
% 5.88/6.23
% 5.88/6.23 Resimplifying inuse:
% 5.88/6.23 Done
% 5.88/6.23
% 5.88/6.23 Failed to find proof!
% 5.88/6.23 maxweight = 15
% 5.88/6.23 maxnrclauses = 10000000
% 5.88/6.23 Generated: 269240
% 5.88/6.23 Kept: 242
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 The strategy used was not complete!
% 5.88/6.23
% 5.88/6.23 Increased maxweight to 16
% 5.88/6.23
% 5.88/6.23 Starting Search:
% 5.88/6.23
% 5.88/6.23 Resimplifying inuse:
% 5.88/6.23 Done
% 5.88/6.23
% 5.88/6.23 Failed to find proof!
% 5.88/6.23 maxweight = 16
% 5.88/6.23 maxnrclauses = 10000000
% 5.88/6.23 Generated: 279286
% 5.88/6.23 Kept: 255
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 The strategy used was not complete!
% 5.88/6.23
% 5.88/6.23 Increased maxweight to 17
% 5.88/6.23
% 5.88/6.23 Starting Search:
% 5.88/6.23
% 5.88/6.23 Resimplifying inuse:
% 5.88/6.23 Done
% 5.88/6.23
% 5.88/6.23 Failed to find proof!
% 5.88/6.23 maxweight = 17
% 5.88/6.23 maxnrclauses = 10000000
% 5.88/6.23 Generated: 282248
% 5.88/6.23 Kept: 262
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 The strategy used was not complete!
% 5.88/6.23
% 5.88/6.23 Increased maxweight to 18
% 5.88/6.23
% 5.88/6.23 Starting Search:
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 Bliksems!, er is een bewijs:
% 5.88/6.23 % SZS status Unsatisfiable
% 5.88/6.23 % SZS output start Refutation
% 5.88/6.23
% 5.88/6.23 clause( 0, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 1, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 2, [ 'c_lessequals'( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' )
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 3, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa' ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 4, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' ),
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 5, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 6, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 5.88/6.23 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 7, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'(
% 5.88/6.23 Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 5.88/6.23 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 5.88/6.23 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 9, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 10, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 5.88/6.23 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 11, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 14, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_xa' ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 51, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' ),
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 60, [ =( 'v_xa', 'v_x' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 105, [ ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 5.88/6.23 ) ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 124, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 5.88/6.23 , 'v_x', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 154, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 168, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 181, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x' ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 218, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 5.88/6.23 , 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 254, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 5.88/6.23 ), 'v_x' ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 5.88/6.23 ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 256, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 5.88/6.23 ), 'v_x' ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 269, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 271, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 289, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 , 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 290, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 291, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 5.88/6.23 'v_S', 'v_x', 't_a' ), 'v_x' ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 292, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 299, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 .
% 5.88/6.23 clause( 301, [] )
% 5.88/6.23 .
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 % SZS output end Refutation
% 5.88/6.23 found a proof!
% 5.88/6.23
% 5.88/6.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.88/6.23
% 5.88/6.23 initialclauses(
% 5.88/6.23 [ clause( 303, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 304, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 305, [ 'c_lessequals'( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 306, [ ~( =( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ) ) ) ]
% 5.88/6.23 )
% 5.88/6.23 , clause( 307, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' )
% 5.88/6.23 , 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ) ] )
% 5.88/6.23 , clause( 308, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 309, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 5.88/6.23 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 5.88/6.23 , clause( 310, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 5.88/6.23 , clause( 311, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 5.88/6.23 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 5.88/6.23 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 5.88/6.23 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , clause( 312, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ] )
% 5.88/6.23 , clause( 313, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 5.88/6.23 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , clause( 314, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , clause( 315, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 ] ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 0, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 303, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 1, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 304, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 2, [ 'c_lessequals'( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' )
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 305, [ 'c_lessequals'( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 316, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa' ) ) ] )
% 5.88/6.23 , clause( 306, [ ~( =( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ) ) ) ]
% 5.88/6.23 )
% 5.88/6.23 , 0, substitution( 0, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 3, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa' ) ) ] )
% 5.88/6.23 , clause( 316, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa' ) ) ]
% 5.88/6.23 )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 4, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' ),
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , clause( 307, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' )
% 5.88/6.23 , 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 5, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 308, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.88/6.23 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 6, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 5.88/6.23 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 5.88/6.23 , clause( 309, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 5.88/6.23 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.88/6.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 7, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 5.88/6.23 , clause( 310, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.88/6.23 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'(
% 5.88/6.23 Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 5.88/6.23 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 5.88/6.23 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , clause( 311, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 5.88/6.23 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 5.88/6.23 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 5.88/6.23 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.88/6.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 5.88/6.23 ==>( 4, 4 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 9, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ] )
% 5.88/6.23 , clause( 312, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.88/6.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 5.88/6.23 ==>( 4, 4 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 10, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 5.88/6.23 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , clause( 313, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 5.88/6.23 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.88/6.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 5.88/6.23 ==>( 4, 4 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 11, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , clause( 314, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.88/6.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 5.88/6.23 ==>( 4, 4 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , clause( 315, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.88/6.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 365, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_xa' ) ] )
% 5.88/6.23 , clause( 6, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 5.88/6.23 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 5.88/6.23 , 0, clause( 2, [ 'c_lessequals'( 'v_xa', 'c_Zorn_Osucc'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [ :=( X, 'v_xa' ), :=( Y, 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ) ), :=( Z, 'tc_set'( 't_a' ) )] ), substitution( 1, [] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 14, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_xa' ) ] )
% 5.88/6.23 , clause( 365, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_xa' ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 367, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' ),
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 4, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' ),
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , 0, clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Zorn_Osucc'( 'v_S'
% 5.88/6.23 , 'v_xa', 't_a' ) ), :=( Y, 'v_x' ), :=( Z, 't_a' ), :=( T, 'v_S' )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 51, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' ),
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 367, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' )
% 5.88/6.23 , 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 368, [ =( 'v_x', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 5.88/6.23 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 5, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 1, substitution( 0, [ :=( X, X )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 369, [ =( 'v_x', 'v_xa' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_xa', 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 51, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' ),
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 368, [ =( 'v_x', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X
% 5.88/6.23 , 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xa' )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 370, [ =( 'v_x', 'v_xa' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 369, [ =( 'v_x', 'v_xa' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_xa', 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 2, clause( 1, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 371, [ =( 'v_xa', 'v_x' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 370, [ =( 'v_x', 'v_xa' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 60, [ =( 'v_xa', 'v_x' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 371, [ =( 'v_xa', 'v_x' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 paramod(
% 5.88/6.23 clause( 373, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 5.88/6.23 , ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 5.88/6.23 )
% 5.88/6.23 , clause( 60, [ =( 'v_xa', 'v_x' ), ~( 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 4, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_xa', 't_a' )
% 5.88/6.23 , 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ) ] )
% 5.88/6.23 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 384, [ ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 5.88/6.23 ) ) ) ) ] )
% 5.88/6.23 , clause( 373, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 5.88/6.23 , ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 5.88/6.23 )
% 5.88/6.23 , 0, clause( 7, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Zorn_Osucc'( 'v_S'
% 5.88/6.23 , 'v_x', 't_a' ) ), :=( Y, 'tc_set'( 't_a' ) )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 105, [ ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a'
% 5.88/6.23 ) ) ) ) ] )
% 5.88/6.23 , clause( 384, [ ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 385, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 5.88/6.23 , 'v_x', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 5.88/6.23 ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 5.88/6.23 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 5.88/6.23 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 5.88/6.23 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , 0, clause( 0, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [ :=( X, 'v_x' ), :=( Y, 'v_S' ), :=( Z, 't_a' ),
% 5.88/6.23 :=( T, X )] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 124, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 5.88/6.23 , 'v_x', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 385, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 5.88/6.23 , 'v_x', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.88/6.23 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 387, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , clause( 9, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 5.88/6.23 ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 5.88/6.23 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ] )
% 5.88/6.23 , 0, clause( 0, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [ :=( X, 'v_x' ), :=( Y, 'v_S' ), :=( Z, 't_a' ),
% 5.88/6.23 :=( T, X )] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 154, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , clause( 387, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.88/6.23 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 392, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 3, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa' ) ) ] )
% 5.88/6.23 , 0, clause( 14, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' )
% 5.88/6.23 , 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_xa' ) ] )
% 5.88/6.23 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 168, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 392, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 393, [ ~( =( Y, 'c_Zorn_OTFin__linear__lemma1__1'( X, Y, Z ) ) ),
% 5.88/6.23 ~( 'c_in'( Y, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 5.88/6.23 'c_in'( T, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_lessequals'( T, Y, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( X, Y, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , clause( 10, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 5.88/6.23 ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 5.88/6.23 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 394, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 5.88/6.23 , 't_a' ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 393, [ ~( =( Y, 'c_Zorn_OTFin__linear__lemma1__1'( X, Y, Z ) ) )
% 5.88/6.23 , ~( 'c_in'( Y, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 ~( 'c_in'( T, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 5.88/6.23 'c_lessequals'( T, Y, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( X, Y, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 5.88/6.23 , 1, clause( 0, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_x' ), :=( Z, 't_a' ),
% 5.88/6.23 :=( T, X )] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 397, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 5.88/6.23 ), 'v_x' ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 394, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [ :=( X, X )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 181, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x' ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 397, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x' ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 5.88/6.23 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 399, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 5.88/6.23 , 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 11, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 5.88/6.23 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 5.88/6.23 ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 5.88/6.23 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , 1, clause( 1, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T,
% 5.88/6.23 'v_xa' )] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 218, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 5.88/6.23 , 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 399, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 5.88/6.23 , 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.88/6.23 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 400, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 5.88/6.23 , 't_a' ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 181, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x' ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 1, substitution( 0, [ :=( X, X )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 401, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 5.88/6.23 , 't_a' ) ) ), ~( 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 168, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 400, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xa' )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 402, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 5.88/6.23 , 't_a' ) ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 5.88/6.23 ) ) ] )
% 5.88/6.23 , clause( 401, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ) ) ), ~( 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 1, clause( 1, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 403, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 5.88/6.23 ), 'v_x' ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 5.88/6.23 ) ) ] )
% 5.88/6.23 , clause( 402, [ ~( =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ) ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 254, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 5.88/6.23 ), 'v_x' ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 5.88/6.23 ) ) ] )
% 5.88/6.23 , clause( 403, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x' ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 405, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 5.88/6.23 ), 'v_x' ) ) ] )
% 5.88/6.23 , clause( 105, [ ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 254, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x' ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ] )
% 5.88/6.23 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 256, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 5.88/6.23 ), 'v_x' ) ) ] )
% 5.88/6.23 , clause( 405, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x' ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 407, [ ~( 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'(
% 5.88/6.23 'v_S', 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 168, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 154, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xa' )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 408, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 407, [ ~( 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, clause( 1, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 269, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 408, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 5.88/6.23 ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 409, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 105, [ ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 269, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 271, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 409, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 410, [ ~( 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 5.88/6.23 , 'v_x', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ) ] )
% 5.88/6.23 , clause( 168, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 124, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 5.88/6.23 , 'v_x', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( X, 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 5.88/6.23 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xa' )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 411, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 , 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 410, [ ~( 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_in'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_xa',
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, clause( 1, [ 'c_in'( 'v_xa', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 289, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 , 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 411, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 , 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 412, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , clause( 105, [ ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 289, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 5.88/6.23 , 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 290, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , clause( 412, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 5.88/6.23 ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 413, [ =( 'v_x', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 5.88/6.23 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 5, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_x',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_x' ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 1, substitution( 0, [ :=( X, X )] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 414, [ =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , clause( 413, [ =( 'v_x', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 5.88/6.23 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 5.88/6.23 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 5.88/6.23 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 3, clause( 290, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 5.88/6.23 , 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ) ] )
% 5.88/6.23 , 0, substitution( 0, [ :=( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 5.88/6.23 'v_x', 't_a' ) )] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 415, [ =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 414, [ =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 5.88/6.23 , 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 2, clause( 271, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'(
% 5.88/6.23 'v_S', 'v_x', 't_a' ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 eqswap(
% 5.88/6.23 clause( 416, [ =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' )
% 5.88/6.23 , 'v_x' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 415, [ =( 'v_x', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x'
% 5.88/6.23 , 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 291, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 5.88/6.23 'v_S', 'v_x', 't_a' ), 'v_x' ) ] )
% 5.88/6.23 , clause( 416, [ =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a'
% 5.88/6.23 ), 'v_x' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 419, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 256, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_x' ) ) ] )
% 5.88/6.23 , 0, clause( 291, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 5.88/6.23 'v_S', 'v_x', 't_a' ), 'v_x' ) ] )
% 5.88/6.23 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 292, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 419, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 420, [ ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 218, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', X, 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 5.88/6.23 , 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 1, clause( 292, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 5.88/6.23 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_x', 't_a' ), 't_a' ), 'v_x'
% 5.88/6.23 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [ :=( X, 'v_x' )] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 421, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 420, [ ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x',
% 5.88/6.23 't_a' ), 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, clause( 0, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 5.88/6.23 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 299, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' ) )
% 5.88/6.23 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 421, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'( 't_a' )
% 5.88/6.23 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_xa',
% 5.88/6.23 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 5.88/6.23 ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 422, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , clause( 105, [ ~( 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 299, [ 'c_lessequals'( 'v_xa', 'v_x', 'tc_set'( 'tc_set'(
% 5.88/6.23 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 resolution(
% 5.88/6.23 clause( 423, [] )
% 5.88/6.23 , clause( 168, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 5.88/6.23 , 0, clause( 422, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 5.88/6.23 'v_xa', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 5.88/6.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 subsumption(
% 5.88/6.23 clause( 301, [] )
% 5.88/6.23 , clause( 423, [] )
% 5.88/6.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 end.
% 5.88/6.23
% 5.88/6.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.88/6.23
% 5.88/6.23 Memory use:
% 5.88/6.23
% 5.88/6.23 space for terms: 11417
% 5.88/6.23 space for clauses: 18815
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 clauses generated: 90079
% 5.88/6.23 clauses kept: 302
% 5.88/6.23 clauses selected: 175
% 5.88/6.23 clauses deleted: 24
% 5.88/6.23 clauses inuse deleted: 0
% 5.88/6.23
% 5.88/6.23 subsentry: 1740
% 5.88/6.23 literals s-matched: 1485
% 5.88/6.23 literals matched: 1416
% 5.88/6.23 full subsumption: 495
% 5.88/6.23
% 5.88/6.23 checksum: -21407116
% 5.88/6.23
% 5.88/6.23
% 5.88/6.23 Bliksem ended
%------------------------------------------------------------------------------