TSTP Solution File: LAT268-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 : Sun Jul 17 03:49:48 EDT 2022
% Result : Unsatisfiable 0.66s 1.03s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 29 00:25:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/1.03 *** allocated 10000 integers for termspace/termends
% 0.66/1.03 *** allocated 10000 integers for clauses
% 0.66/1.03 *** allocated 10000 integers for justifications
% 0.66/1.03 Bliksem 1.12
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 Automatic Strategy Selection
% 0.66/1.03
% 0.66/1.03 Clauses:
% 0.66/1.03 [
% 0.66/1.03 [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ],
% 0.66/1.03 [ 'c_in'( 'v_x', 'v_S', 't_a' ) ],
% 0.66/1.03 [ ~( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_x',
% 0.66/1.03 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.66/1.03 [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ],
% 0.66/1.03 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_Tarski_OCompleteLattice',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.03 , ~( 'c_in'( T, 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.03 , ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Olub'( Y, T, Z ), Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ],
% 0.66/1.03 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Tarski_Opotype_Oorder'(
% 0.66/1.03 'c_Tarski_Odual'( T, Z ), Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z
% 0.66/1.03 ) ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ],
% 0.66/1.03 [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OCompleteLattice'
% 0.66/1.03 , 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit'
% 0.66/1.03 ) ) ],
% 0.66/1.03 [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.03 ) ],
% 0.66/1.03 [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y
% 0.66/1.03 , Z ), Z ) ) ],
% 0.66/1.03 [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ],
% 0.66/1.03 [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ]
% 0.66/1.03 ] .
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 percentage equality = 0.250000, percentage horn = 1.000000
% 0.66/1.03 This is a problem with some equality
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 Options Used:
% 0.66/1.03
% 0.66/1.03 useres = 1
% 0.66/1.03 useparamod = 1
% 0.66/1.03 useeqrefl = 1
% 0.66/1.03 useeqfact = 1
% 0.66/1.03 usefactor = 1
% 0.66/1.03 usesimpsplitting = 0
% 0.66/1.03 usesimpdemod = 5
% 0.66/1.03 usesimpres = 3
% 0.66/1.03
% 0.66/1.03 resimpinuse = 1000
% 0.66/1.03 resimpclauses = 20000
% 0.66/1.03 substype = eqrewr
% 0.66/1.03 backwardsubs = 1
% 0.66/1.03 selectoldest = 5
% 0.66/1.03
% 0.66/1.03 litorderings [0] = split
% 0.66/1.03 litorderings [1] = extend the termordering, first sorting on arguments
% 0.66/1.03
% 0.66/1.03 termordering = kbo
% 0.66/1.03
% 0.66/1.03 litapriori = 0
% 0.66/1.03 termapriori = 1
% 0.66/1.03 litaposteriori = 0
% 0.66/1.03 termaposteriori = 0
% 0.66/1.03 demodaposteriori = 0
% 0.66/1.03 ordereqreflfact = 0
% 0.66/1.03
% 0.66/1.03 litselect = negord
% 0.66/1.03
% 0.66/1.03 maxweight = 15
% 0.66/1.03 maxdepth = 30000
% 0.66/1.03 maxlength = 115
% 0.66/1.03 maxnrvars = 195
% 0.66/1.03 excuselevel = 1
% 0.66/1.03 increasemaxweight = 1
% 0.66/1.03
% 0.66/1.03 maxselected = 10000000
% 0.66/1.03 maxnrclauses = 10000000
% 0.66/1.03
% 0.66/1.03 showgenerated = 0
% 0.66/1.03 showkept = 0
% 0.66/1.03 showselected = 0
% 0.66/1.03 showdeleted = 0
% 0.66/1.03 showresimp = 1
% 0.66/1.03 showstatus = 2000
% 0.66/1.03
% 0.66/1.03 prologoutput = 1
% 0.66/1.03 nrgoals = 5000000
% 0.66/1.03 totalproof = 1
% 0.66/1.03
% 0.66/1.03 Symbols occurring in the translation:
% 0.66/1.03
% 0.66/1.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.03 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.66/1.03 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.66/1.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.03 'v_S' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.66/1.03 'v_A' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.66/1.03 't_a' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.66/1.03 'tc_set' [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.66/1.03 'c_lessequals' [43, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.66/1.03 'v_x' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.66/1.03 'c_in' [45, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.66/1.03 'v_cl' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.66/1.03 'c_Tarski_Oglb' [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.66/1.03 'c_Pair' [48, 4] (w:1, o:63, a:1, s:1, b:0),
% 0.66/1.03 'v_r' [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.66/1.03 'tc_prod' [50, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.66/1.03 'tc_Product__Type_Ounit' [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.66/1.03 'c_Tarski_Opotype_Opset' [52, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.66/1.03 'c_Tarski_OCompleteLattice' [57, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type' [58, 2] (w:1, o:55, a:1, s:1
% 0.66/1.03 , b:0),
% 0.66/1.03 'c_Tarski_OPartialOrder' [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.66/1.03 'c_Tarski_Olub' [60, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.66/1.03 'c_Tarski_Opotype_Oorder' [61, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.66/1.03 'c_Tarski_Odual' [63, 2] (w:1, o:56, a:1, s:1, b:0).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 Starting Search:
% 0.66/1.03
% 0.66/1.03 Resimplifying inuse:
% 0.66/1.03 Done
% 0.66/1.03
% 0.66/1.03 Failed to find proof!
% 0.66/1.03 maxweight = 15
% 0.66/1.03 maxnrclauses = 10000000
% 0.66/1.03 Generated: 174
% 0.66/1.03 Kept: 22
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 The strategy used was not complete!
% 0.66/1.03
% 0.66/1.03 Increased maxweight to 16
% 0.66/1.03
% 0.66/1.03 Starting Search:
% 0.66/1.03
% 0.66/1.03 Resimplifying inuse:
% 0.66/1.03 Done
% 0.66/1.03
% 0.66/1.03 Failed to find proof!
% 0.66/1.03 maxweight = 16
% 0.66/1.03 maxnrclauses = 10000000
% 0.66/1.03 Generated: 174
% 0.66/1.03 Kept: 22
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 The strategy used was not complete!
% 0.66/1.03
% 0.66/1.03 Increased maxweight to 17
% 0.66/1.03
% 0.66/1.03 Starting Search:
% 0.66/1.03
% 0.66/1.03 Resimplifying inuse:
% 0.66/1.03 Done
% 0.66/1.03
% 0.66/1.03 Failed to find proof!
% 0.66/1.03 maxweight = 17
% 0.66/1.03 maxnrclauses = 10000000
% 0.66/1.03 Generated: 174
% 0.66/1.03 Kept: 22
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 The strategy used was not complete!
% 0.66/1.03
% 0.66/1.03 Increased maxweight to 18
% 0.66/1.03
% 0.66/1.03 Starting Search:
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 Bliksems!, er is een bewijs:
% 0.66/1.03 % SZS status Unsatisfiable
% 0.66/1.03 % SZS output start Refutation
% 0.66/1.03
% 0.66/1.03 clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 1, [ 'c_in'( 'v_x', 'v_S', 't_a' ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 2, [ ~( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ),
% 0.66/1.03 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 3, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T,
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ), ~( 'c_in'( T, 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.03 , ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Olub'( Y, T, Z ), Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Tarski_Opotype_Oorder'(
% 0.66/1.03 'c_Tarski_Odual'( T, Z ), Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z
% 0.66/1.03 ) ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 6, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.66/1.03 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 7, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 8, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.66/1.03 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 9, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 10, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 12, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'(
% 0.66/1.03 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 17, [ ~( 'c_in'( X, Y, 't_a' ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Oglb'( Y, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), ~(
% 0.66/1.03 'c_lessequals'( Y, 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 22, [ ~( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.66/1.03 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.66/1.03 't_a' ) ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 23, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 .
% 0.66/1.03 clause( 24, [] )
% 0.66/1.03 .
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 % SZS output end Refutation
% 0.66/1.03 found a proof!
% 0.66/1.03
% 0.66/1.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.03
% 0.66/1.03 initialclauses(
% 0.66/1.03 [ clause( 26, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.66/1.03 , clause( 27, [ 'c_in'( 'v_x', 'v_S', 't_a' ) ] )
% 0.66/1.03 , clause( 28, [ ~( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a'
% 0.66/1.03 ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 29, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , clause( 30, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T,
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ), ~( 'c_in'( T, 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.03 , ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Olub'( Y, T, Z ), Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 , clause( 31, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( Y, X
% 0.66/1.03 , Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' ),
% 0.66/1.03 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 , clause( 32, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.66/1.03 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , clause( 33, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , clause( 34, [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X,
% 0.66/1.03 'c_Tarski_Odual'( Y, Z ), Z ) ) ] )
% 0.66/1.03 , clause( 35, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , clause( 36, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 ] ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.66/1.03 , clause( 26, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 1, [ 'c_in'( 'v_x', 'v_S', 't_a' ) ] )
% 0.66/1.03 , clause( 27, [ 'c_in'( 'v_x', 'v_S', 't_a' ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 2, [ ~( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ),
% 0.66/1.03 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 28, [ ~( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a'
% 0.66/1.03 ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 eqswap(
% 0.66/1.03 clause( 37, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.66/1.03 , clause( 29, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , 0, substitution( 0, [] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 3, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.66/1.03 , clause( 37, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T,
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ), ~( 'c_in'( T, 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.03 , ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Olub'( Y, T, Z ), Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 , clause( 30, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T,
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ), ~( 'c_in'( T, 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.03 , ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Olub'( Y, T, Z ), Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.66/1.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 0.66/1.03 ==>( 4, 4 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Tarski_Opotype_Oorder'(
% 0.66/1.03 'c_Tarski_Odual'( T, Z ), Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z
% 0.66/1.03 ) ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 , clause( 31, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( Y, X
% 0.66/1.03 , Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' ),
% 0.66/1.03 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.66/1.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 6, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.66/1.03 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , clause( 32, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.66/1.03 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 7, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , clause( 33, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 eqswap(
% 0.66/1.03 clause( 43, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.66/1.03 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.66/1.03 , clause( 34, [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X,
% 0.66/1.03 'c_Tarski_Odual'( Y, Z ), Z ) ) ] )
% 0.66/1.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 8, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.66/1.03 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.66/1.03 , clause( 43, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.66/1.03 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.66/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 9, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , clause( 35, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.03 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 eqswap(
% 0.66/1.03 clause( 50, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.03 , clause( 36, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , 0, substitution( 0, [] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 10, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.03 , clause( 50, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 paramod(
% 0.66/1.03 clause( 52, [ 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.66/1.03 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 10, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.03 , 0, clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( Y, X
% 0.66/1.03 , Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' ),
% 0.66/1.03 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 , 1, 6, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X ),
% 0.66/1.03 :=( Z, 't_a' ), :=( T, 'v_cl' )] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 12, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'(
% 0.66/1.03 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.03 , clause( 52, [ 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.66/1.03 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.03 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.66/1.03 ), ==>( 1, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 resolution(
% 0.66/1.03 clause( 57, [ ~( 'c_in'( X, Y, 't_a' ) ), ~( 'c_in'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.03 ) ), ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) )
% 0.66/1.03 , 'c_in'( 'c_Pair'( X, 'c_Tarski_Olub'( Y, 'c_Tarski_Odual'( 'v_cl',
% 0.66/1.03 't_a' ), 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.66/1.03 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.66/1.03 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.03 , clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T,
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ), ~( 'c_in'( T, 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.03 , ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Olub'( Y, T, Z ), Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ) ] )
% 0.66/1.03 , 1, clause( 6, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.66/1.03 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 't_a' ), :=( T,
% 0.66/1.03 'c_Tarski_Odual'( 'v_cl', 't_a' ) )] ), substitution( 1, [] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 paramod(
% 0.66/1.03 clause( 58, [ ~( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a'
% 0.66/1.03 , 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ), ~( 'c_in'( Y, X,
% 0.66/1.03 't_a' ) ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ), 'c_in'( 'c_Pair'( Y, 'c_Tarski_Olub'( X,
% 0.66/1.03 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.03 , clause( 9, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , 0, clause( 57, [ ~( 'c_in'( X, Y, 't_a' ) ), ~( 'c_in'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.66/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.03 ) ), ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) )
% 0.66/1.03 , 'c_in'( 'c_Pair'( X, 'c_Tarski_Olub'( Y, 'c_Tarski_Odual'( 'v_cl',
% 0.66/1.03 't_a' ), 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.66/1.03 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.66/1.03 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.03 , 2, 3, substitution( 0, [ :=( X, 'v_cl' ), :=( Y, 't_a' )] ),
% 0.66/1.03 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 paramod(
% 0.66/1.03 clause( 59, [ 'c_in'( 'c_Pair'( X, 'c_Tarski_Oglb'( Y, 'v_cl', 't_a' ),
% 0.66/1.03 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl',
% 0.66/1.03 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ),
% 0.66/1.03 ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X, Y, 't_a'
% 0.66/1.03 ) ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ) ] )
% 0.66/1.03 , clause( 8, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.66/1.03 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.66/1.03 , 0, clause( 58, [ ~( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( 'v_cl',
% 0.66/1.03 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ), ~( 'c_in'( Y, X
% 0.66/1.03 , 't_a' ) ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ), 'c_in'( 'c_Pair'( Y, 'c_Tarski_Olub'( X,
% 0.66/1.03 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.03 , 3, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'v_cl' ), :=( Z, 't_a' )] ),
% 0.66/1.03 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 paramod(
% 0.66/1.03 clause( 60, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.66/1.03 'c_Pair'( Y, 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( Y, X
% 0.66/1.03 , 't_a' ) ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ) ] )
% 0.66/1.03 , clause( 3, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.66/1.03 , 0, clause( 59, [ 'c_in'( 'c_Pair'( X, 'c_Tarski_Oglb'( Y, 'v_cl', 't_a' )
% 0.66/1.03 , 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl',
% 0.66/1.03 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ),
% 0.66/1.03 ~( 'c_lessequals'( Y, 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X, Y, 't_a'
% 0.66/1.03 ) ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ) ] )
% 0.66/1.03 , 1, 3, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )
% 0.66/1.03 ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 resolution(
% 0.66/1.03 clause( 61, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.66/1.03 'c_Pair'( Y, 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( Y, X
% 0.66/1.03 , 't_a' ) ) ] )
% 0.66/1.03 , clause( 60, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.66/1.03 'c_Pair'( Y, 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( Y, X
% 0.66/1.03 , 't_a' ) ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ) ] )
% 0.66/1.03 , 3, clause( 7, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.66/1.03 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.66/1.03 ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 17, [ ~( 'c_in'( X, Y, 't_a' ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Oglb'( Y, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), ~(
% 0.66/1.03 'c_lessequals'( Y, 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 61, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.66/1.03 'c_Pair'( Y, 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( Y, X
% 0.66/1.03 , 't_a' ) ) ] )
% 0.66/1.03 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 0.66/1.03 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 resolution(
% 0.66/1.03 clause( 62, [ ~( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.66/1.03 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.66/1.03 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 2, [ ~( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' )
% 0.66/1.03 , 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.03 , 0, clause( 12, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'(
% 0.66/1.03 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.03 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y,
% 0.66/1.03 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ) )] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 22, [ ~( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.66/1.03 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.66/1.03 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 62, [ ~( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl'
% 0.66/1.03 , 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.66/1.03 't_a' ) ) ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 resolution(
% 0.66/1.03 clause( 63, [ ~( 'c_in'( 'v_x', 'v_S', 't_a' ) ), ~( 'c_lessequals'( 'v_S'
% 0.66/1.03 , 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 22, [ ~( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl'
% 0.66/1.03 , 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.66/1.03 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.66/1.03 't_a' ) ) ) ] )
% 0.66/1.03 , 0, clause( 17, [ ~( 'c_in'( X, Y, 't_a' ) ), 'c_in'( 'c_Pair'( X,
% 0.66/1.03 'c_Tarski_Oglb'( Y, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.66/1.03 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.66/1.03 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), ~(
% 0.66/1.03 'c_lessequals'( Y, 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 'v_S'
% 0.66/1.03 )] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 resolution(
% 0.66/1.03 clause( 64, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 63, [ ~( 'c_in'( 'v_x', 'v_S', 't_a' ) ), ~( 'c_lessequals'(
% 0.66/1.03 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 , 0, clause( 1, [ 'c_in'( 'v_x', 'v_S', 't_a' ) ] )
% 0.66/1.03 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 23, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 , clause( 64, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 resolution(
% 0.66/1.03 clause( 65, [] )
% 0.66/1.03 , clause( 23, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.66/1.03 , 0, clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.66/1.03 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 subsumption(
% 0.66/1.03 clause( 24, [] )
% 0.66/1.03 , clause( 65, [] )
% 0.66/1.03 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 end.
% 0.66/1.03
% 0.66/1.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.03
% 0.66/1.03 Memory use:
% 0.66/1.03
% 0.66/1.03 space for terms: 1092
% 0.66/1.03 space for clauses: 2877
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 clauses generated: 47
% 0.66/1.03 clauses kept: 25
% 0.66/1.03 clauses selected: 14
% 0.66/1.03 clauses deleted: 1
% 0.66/1.03 clauses inuse deleted: 0
% 0.66/1.03
% 0.66/1.03 subsentry: 112
% 0.66/1.03 literals s-matched: 58
% 0.66/1.03 literals matched: 58
% 0.66/1.03 full subsumption: 3
% 0.66/1.03
% 0.66/1.03 checksum: 1371818010
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 Bliksem ended
%------------------------------------------------------------------------------