TSTP Solution File: LAT268-10 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 03:49:47 EDT 2022
% Result : Unsatisfiable 0.45s 1.07s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.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 19:19:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.07 *** allocated 10000 integers for termspace/termends
% 0.45/1.07 *** allocated 10000 integers for clauses
% 0.45/1.07 *** allocated 10000 integers for justifications
% 0.45/1.07 Bliksem 1.12
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Automatic Strategy Selection
% 0.45/1.07
% 0.45/1.07 Clauses:
% 0.45/1.07 [
% 0.45/1.07 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 0.45/1.07 [ =( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ), true ) ],
% 0.45/1.07 [ =( 'c_in'( 'v_x', 'v_S', 't_a' ), true ) ],
% 0.45/1.07 [ ~( =( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_x'
% 0.45/1.07 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true ) ) ],
% 0.45/1.07 [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ],
% 0.45/1.07 [ =( ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( Y, Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( T, X, Z ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( T, 'c_Tarski_Olub'( X, Y, Z ), Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( Y, Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z
% 0.45/1.07 , Z ) ), true ), true ), true ), true ), true ) ],
% 0.45/1.07 [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Tarski_Opotype_Oorder'(
% 0.45/1.07 'c_Tarski_Odual'( T, Z ), Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z
% 0.45/1.07 ) ), true, 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T
% 0.45/1.07 , Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true ), true ) ]
% 0.45/1.07 ,
% 0.45/1.07 [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ) ), true ) ],
% 0.45/1.07 [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder'
% 0.45/1.07 , 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit'
% 0.45/1.07 ) ), true ) ],
% 0.45/1.07 [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y
% 0.45/1.07 , Z ), Z ) ) ],
% 0.45/1.07 [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ],
% 0.45/1.07 [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ]
% 0.45/1.07 ] .
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.45/1.07 This is a pure equality problem
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Options Used:
% 0.45/1.07
% 0.45/1.07 useres = 1
% 0.45/1.07 useparamod = 1
% 0.45/1.07 useeqrefl = 1
% 0.45/1.07 useeqfact = 1
% 0.45/1.07 usefactor = 1
% 0.45/1.07 usesimpsplitting = 0
% 0.45/1.07 usesimpdemod = 5
% 0.45/1.07 usesimpres = 3
% 0.45/1.07
% 0.45/1.07 resimpinuse = 1000
% 0.45/1.07 resimpclauses = 20000
% 0.45/1.07 substype = eqrewr
% 0.45/1.07 backwardsubs = 1
% 0.45/1.07 selectoldest = 5
% 0.45/1.07
% 0.45/1.07 litorderings [0] = split
% 0.45/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.07
% 0.45/1.07 termordering = kbo
% 0.45/1.07
% 0.45/1.07 litapriori = 0
% 0.45/1.07 termapriori = 1
% 0.45/1.07 litaposteriori = 0
% 0.45/1.07 termaposteriori = 0
% 0.45/1.07 demodaposteriori = 0
% 0.45/1.07 ordereqreflfact = 0
% 0.45/1.07
% 0.45/1.07 litselect = negord
% 0.45/1.07
% 0.45/1.07 maxweight = 15
% 0.45/1.07 maxdepth = 30000
% 0.45/1.07 maxlength = 115
% 0.45/1.07 maxnrvars = 195
% 0.45/1.07 excuselevel = 1
% 0.45/1.07 increasemaxweight = 1
% 0.45/1.07
% 0.45/1.07 maxselected = 10000000
% 0.45/1.07 maxnrclauses = 10000000
% 0.45/1.07
% 0.45/1.07 showgenerated = 0
% 0.45/1.07 showkept = 0
% 0.45/1.07 showselected = 0
% 0.45/1.07 showdeleted = 0
% 0.45/1.07 showresimp = 1
% 0.45/1.07 showstatus = 2000
% 0.45/1.07
% 0.45/1.07 prologoutput = 1
% 0.45/1.07 nrgoals = 5000000
% 0.45/1.07 totalproof = 1
% 0.45/1.07
% 0.45/1.07 Symbols occurring in the translation:
% 0.45/1.07
% 0.45/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.07 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.45/1.07 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.45/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.07 ifeq [42, 4] (w:1, o:67, a:1, s:1, b:0),
% 0.45/1.07 'v_S' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.45/1.07 'v_A' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.45/1.07 't_a' [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.45/1.07 'tc_set' [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.45/1.07 'c_lessequals' [47, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.45/1.07 true [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.45/1.07 'v_x' [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.07 'c_in' [50, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.45/1.07 'v_cl' [51, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.45/1.07 'c_Tarski_Oglb' [52, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.45/1.07 'c_Pair' [53, 4] (w:1, o:68, a:1, s:1, b:0),
% 0.45/1.07 'v_r' [54, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.45/1.07 'tc_prod' [55, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.45/1.07 'tc_Product__Type_Ounit' [56, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.45/1.07 'c_Tarski_Opotype_Opset' [57, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.45/1.07 'c_Tarski_OCompleteLattice' [61, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.45/1.07 'tc_Tarski_Opotype_Opotype__ext__type' [62, 2] (w:1, o:59, a:1, s:1
% 0.45/1.07 , b:0),
% 0.45/1.07 'c_Tarski_OPartialOrder' [63, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.45/1.07 'c_Tarski_Olub' [65, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.45/1.07 'c_Tarski_Opotype_Oorder' [66, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.45/1.07 'c_Tarski_Odual' [68, 2] (w:1, o:60, a:1, s:1, b:0).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Starting Search:
% 0.45/1.07
% 0.45/1.07 Resimplifying inuse:
% 0.45/1.07 Done
% 0.45/1.07
% 0.45/1.07 Failed to find proof!
% 0.45/1.07 maxweight = 15
% 0.45/1.07 maxnrclauses = 10000000
% 0.45/1.07 Generated: 79
% 0.45/1.07 Kept: 19
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 The strategy used was not complete!
% 0.45/1.07
% 0.45/1.07 Increased maxweight to 16
% 0.45/1.07
% 0.45/1.07 Starting Search:
% 0.45/1.07
% 0.45/1.07 Resimplifying inuse:
% 0.45/1.07 Done
% 0.45/1.07
% 0.45/1.07 Failed to find proof!
% 0.45/1.07 maxweight = 16
% 0.45/1.07 maxnrclauses = 10000000
% 0.45/1.07 Generated: 79
% 0.45/1.07 Kept: 19
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 The strategy used was not complete!
% 0.45/1.07
% 0.45/1.07 Increased maxweight to 17
% 0.45/1.07
% 0.45/1.07 Starting Search:
% 0.45/1.07
% 0.45/1.07 Resimplifying inuse:
% 0.45/1.07 Done
% 0.45/1.07
% 0.45/1.07 Failed to find proof!
% 0.45/1.07 maxweight = 17
% 0.45/1.07 maxnrclauses = 10000000
% 0.45/1.07 Generated: 79
% 0.45/1.07 Kept: 19
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 The strategy used was not complete!
% 0.45/1.07
% 0.45/1.07 Increased maxweight to 18
% 0.45/1.07
% 0.45/1.07 Starting Search:
% 0.45/1.07
% 0.45/1.07 Resimplifying inuse:
% 0.45/1.07 Done
% 0.45/1.07
% 0.45/1.07 Failed to find proof!
% 0.45/1.07 maxweight = 18
% 0.45/1.07 maxnrclauses = 10000000
% 0.45/1.07 Generated: 79
% 0.45/1.07 Kept: 19
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 The strategy used was not complete!
% 0.45/1.07
% 0.45/1.07 Increased maxweight to 19
% 0.45/1.07
% 0.45/1.07 Starting Search:
% 0.45/1.07
% 0.45/1.07 Resimplifying inuse:
% 0.45/1.07 Done
% 0.45/1.07
% 0.45/1.07 Failed to find proof!
% 0.45/1.07 maxweight = 19
% 0.45/1.07 maxnrclauses = 10000000
% 0.45/1.07 Generated: 79
% 0.45/1.07 Kept: 19
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 The strategy used was not complete!
% 0.45/1.07
% 0.45/1.07 Increased maxweight to 20
% 0.45/1.07
% 0.45/1.07 Starting Search:
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Bliksems!, er is een bewijs:
% 0.45/1.07 % SZS status Unsatisfiable
% 0.45/1.07 % SZS output start Refutation
% 0.45/1.07
% 0.45/1.07 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 1, [ =( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ), true ) ]
% 0.45/1.07 )
% 0.45/1.07 .
% 0.45/1.07 clause( 2, [ =( 'c_in'( 'v_x', 'v_S', 't_a' ), true ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 3, [ ~( =( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a'
% 0.45/1.07 ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true ) ) ]
% 0.45/1.07 )
% 0.45/1.07 .
% 0.45/1.07 clause( 4, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 5, [ =( ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( Y, Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( T, X, Z ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( T, 'c_Tarski_Olub'( X, Y, Z ), Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( Y, Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z
% 0.45/1.07 , Z ) ), true ), true ), true ), true ), true ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 6, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true, 'c_in'( 'c_Pair'(
% 0.45/1.07 Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' )
% 0.45/1.07 , 'tc_prod'( Z, Z ) ), true ), true ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 7, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 8, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 9, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.45/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 10, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 11, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 13, [ =( ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), true
% 0.45/1.07 , ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y, 'c_Tarski_Oglb'(
% 0.45/1.07 X, 'v_cl', 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ), true ), true ), true ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 18, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ), true ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 19, [ =( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.45/1.07 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 20, [] )
% 0.45/1.07 .
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 % SZS output end Refutation
% 0.45/1.07 found a proof!
% 0.45/1.07
% 0.45/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.07
% 0.45/1.07 initialclauses(
% 0.45/1.07 [ clause( 22, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 , clause( 23, [ =( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ), true
% 0.45/1.07 ) ] )
% 0.45/1.07 , clause( 24, [ =( 'c_in'( 'v_x', 'v_S', 't_a' ), true ) ] )
% 0.45/1.07 , clause( 25, [ ~( =( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.45/1.07 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 26, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 , clause( 27, [ =( ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( Y, Z
% 0.45/1.07 , 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( T, X, Z ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( T, 'c_Tarski_Olub'( X, Y, Z ), Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( Y, Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z
% 0.45/1.07 , Z ) ), true ), true ), true ), true ), true ) ] )
% 0.45/1.07 , clause( 28, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true, 'c_in'( 'c_Pair'(
% 0.45/1.07 Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' )
% 0.45/1.07 , 'tc_prod'( Z, Z ) ), true ), true ) ] )
% 0.45/1.07 , clause( 29, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 , clause( 30, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 , clause( 31, [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X,
% 0.45/1.07 'c_Tarski_Odual'( Y, Z ), Z ) ) ] )
% 0.45/1.07 , clause( 32, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 , clause( 33, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 ] ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 , clause( 22, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 1, [ =( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ), true ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 23, [ =( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ), true
% 0.45/1.07 ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 2, [ =( 'c_in'( 'v_x', 'v_S', 't_a' ), true ) ] )
% 0.45/1.07 , clause( 24, [ =( 'c_in'( 'v_x', 'v_S', 't_a' ), true ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 3, [ ~( =( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a'
% 0.45/1.07 ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 25, [ ~( =( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.45/1.07 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 48, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.45/1.07 , clause( 26, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 4, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.45/1.07 , clause( 48, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 5, [ =( ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( Y, Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( T, X, Z ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( T, 'c_Tarski_Olub'( X, Y, Z ), Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( Y, Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z
% 0.45/1.07 , Z ) ), true ), true ), true ), true ), true ) ] )
% 0.45/1.07 , clause( 27, [ =( ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( Y, Z
% 0.45/1.07 , 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( T, X, Z ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( T, 'c_Tarski_Olub'( X, Y, Z ), Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( Y, Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z
% 0.45/1.07 , Z ) ), true ), true ), true ), true ), true ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 6, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true, 'c_in'( 'c_Pair'(
% 0.45/1.07 Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' )
% 0.45/1.07 , 'tc_prod'( Z, Z ) ), true ), true ) ] )
% 0.45/1.07 , clause( 28, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true, 'c_in'( 'c_Pair'(
% 0.45/1.07 Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' )
% 0.45/1.07 , 'tc_prod'( Z, Z ) ), true ), true ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 7, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 , clause( 29, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 8, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 , clause( 30, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 88, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.45/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.45/1.07 , clause( 31, [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X,
% 0.45/1.07 'c_Tarski_Odual'( Y, Z ), Z ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 9, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.45/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.45/1.07 , clause( 88, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.45/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 10, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 , clause( 32, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 111, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.45/1.07 , clause( 33, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 11, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.45/1.07 , clause( 111, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 113, [ =( true, ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'(
% 0.45/1.07 Y, Z, 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ), true, ifeq( 'c_in'( Y
% 0.45/1.07 , 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z
% 0.45/1.07 , 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( T, X, Z ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( T, 'c_Tarski_Olub'( X, Y, Z ), Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( Y, Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z
% 0.45/1.07 , Z ) ), true ), true ), true ), true ) ) ] )
% 0.45/1.07 , clause( 5, [ =( ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( Y, Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Z ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y,
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( T, X, Z ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( T, 'c_Tarski_Olub'( X, Y, Z ), Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( Y, Z, 'tc_Product__Type_Ounit' ), 'tc_prod'( Z
% 0.45/1.07 , Z ) ), true ), true ), true ), true ), true ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 120, [ =( true, ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_set'( 't_a' ) ), true, ifeq( true, true, ifeq( 'c_in'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.45/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.07 ), true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a',
% 0.45/1.07 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ),
% 0.45/1.07 true ), true ), true ) ) ] )
% 0.45/1.07 , clause( 7, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 , 0, clause( 113, [ =( true, ifeq( 'c_lessequals'( X,
% 0.45/1.07 'c_Tarski_Opotype_Opset'( Y, Z, 'tc_Product__Type_Ounit' ), 'tc_set'( Z )
% 0.45/1.07 ), true, ifeq( 'c_in'( Y, 'c_Tarski_OCompleteLattice',
% 0.45/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ),
% 0.45/1.07 true, ifeq( 'c_in'( Y, 'c_Tarski_OPartialOrder',
% 0.45/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Z, 'tc_Product__Type_Ounit' ) ),
% 0.45/1.07 true, ifeq( 'c_in'( T, X, Z ), true, 'c_in'( 'c_Pair'( T, 'c_Tarski_Olub'(
% 0.45/1.07 X, Y, Z ), Z, Z ), 'c_Tarski_Opotype_Oorder'( Y, Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true ), true ), true ),
% 0.45/1.07 true ) ) ] )
% 0.45/1.07 , 0, 15, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ) ), :=( Z, 't_a' ), :=( T, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 122, [ =( true, ifeq( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'(
% 0.45/1.07 'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ), true,
% 0.45/1.07 ifeq( true, true, ifeq( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y, X, 't_a' ), true,
% 0.45/1.07 'c_in'( 'c_Pair'( Y, 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a'
% 0.45/1.07 ), 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ), true ), true ), true ) ) ] )
% 0.45/1.07 , clause( 10, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.45/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.07 , 0, clause( 120, [ =( true, ifeq( 'c_lessequals'( X,
% 0.45/1.07 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ), true, ifeq( true, true,
% 0.45/1.07 ifeq( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder'
% 0.45/1.07 , 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit'
% 0.45/1.07 ) ), true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a',
% 0.45/1.07 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ),
% 0.45/1.07 true ), true ), true ) ) ] )
% 0.45/1.07 , 0, 5, substitution( 0, [ :=( X, 'v_cl' ), :=( Y, 't_a' )] ),
% 0.45/1.07 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 123, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) )
% 0.45/1.07 , true, ifeq( true, true, ifeq( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' )
% 0.45/1.07 , 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a'
% 0.45/1.07 , 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y, X, 't_a' ), true,
% 0.45/1.07 'c_in'( 'c_Pair'( Y, 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a'
% 0.45/1.07 ), 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ), true ), true ), true ) ) ] )
% 0.45/1.07 , clause( 4, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.45/1.07 , 0, clause( 122, [ =( true, ifeq( 'c_lessequals'( X,
% 0.45/1.07 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_set'( 't_a' ) ), true, ifeq( true, true, ifeq( 'c_in'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.45/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.07 ), true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a',
% 0.45/1.07 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ),
% 0.45/1.07 true ), true ), true ) ) ] )
% 0.45/1.07 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 124, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) )
% 0.45/1.07 , true, ifeq( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y, X, 't_a' ), true,
% 0.45/1.07 'c_in'( 'c_Pair'( Y, 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a'
% 0.45/1.07 ), 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ), true ), true ) ) ] )
% 0.45/1.07 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 , 0, clause( 123, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.45/1.07 't_a' ) ), true, ifeq( true, true, ifeq( 'c_in'( 'c_Tarski_Odual'( 'v_cl'
% 0.45/1.07 , 't_a' ), 'c_Tarski_OPartialOrder',
% 0.45/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.07 ), true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a',
% 0.45/1.07 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ),
% 0.45/1.07 true ), true ), true ) ) ] )
% 0.45/1.07 , 0, 9, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'c_in'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.45/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.07 ), true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a',
% 0.45/1.07 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ),
% 0.45/1.07 true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 125, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) )
% 0.45/1.07 , true, ifeq( true, true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a'
% 0.45/1.07 ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl',
% 0.45/1.07 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ),
% 0.45/1.07 true ), true ), true ) ) ] )
% 0.45/1.07 , clause( 8, [ =( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true ) ] )
% 0.45/1.07 , 0, clause( 124, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.45/1.07 't_a' ) ), true, ifeq( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ) ), true, ifeq( 'c_in'( Y, X, 't_a' ), true,
% 0.45/1.07 'c_in'( 'c_Pair'( Y, 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a'
% 0.45/1.07 ), 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ), true ), true ) ) ] )
% 0.45/1.07 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 126, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) )
% 0.45/1.07 , true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a',
% 0.45/1.07 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ),
% 0.45/1.07 true ) ) ] )
% 0.45/1.07 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 , 0, clause( 125, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.45/1.07 't_a' ) ), true, ifeq( true, true, ifeq( 'c_in'( Y, X, 't_a' ), true,
% 0.45/1.07 'c_in'( 'c_Pair'( Y, 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a'
% 0.45/1.07 ), 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ), true ), true ) ) ] )
% 0.45/1.07 , 0, 9, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'c_in'( Y, X, 't_a'
% 0.45/1.07 ), true, 'c_in'( 'c_Pair'( Y, 'c_Tarski_Olub'( X, 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ), true ) ), :=( Z, true )] ), substitution( 1
% 0.45/1.07 , [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 127, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) )
% 0.45/1.07 , true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ) )
% 0.45/1.07 ] )
% 0.45/1.07 , clause( 9, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.45/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.45/1.07 , 0, clause( 126, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.45/1.07 't_a' ) ), true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ), 't_a',
% 0.45/1.07 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.45/1.07 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ),
% 0.45/1.07 true ) ) ] )
% 0.45/1.07 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, 'v_cl' ), :=( Z, 't_a' )] )
% 0.45/1.07 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 128, [ =( ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), true
% 0.45/1.07 , ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y, 'c_Tarski_Oglb'(
% 0.45/1.07 X, 'v_cl', 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ), true ), true ), true ) ] )
% 0.45/1.07 , clause( 127, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' )
% 0.45/1.07 ), true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 13, [ =( ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), true
% 0.45/1.07 , ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y, 'c_Tarski_Oglb'(
% 0.45/1.07 X, 'v_cl', 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ), true ), true ), true ) ] )
% 0.45/1.07 , clause( 128, [ =( ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ),
% 0.45/1.07 true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ),
% 0.45/1.07 true ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 130, [ =( true, ifeq( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true, 'c_in'( 'c_Pair'(
% 0.45/1.07 Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' )
% 0.45/1.07 , 'tc_prod'( Z, Z ) ), true ) ) ] )
% 0.45/1.07 , clause( 6, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true, 'c_in'( 'c_Pair'(
% 0.45/1.07 Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' )
% 0.45/1.07 , 'tc_prod'( Z, Z ) ), true ), true ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 131, [ =( true, ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 11, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.45/1.07 , 0, clause( 130, [ =( true, ifeq( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( T, Z ), Z,
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( Z, Z ) ), true, 'c_in'( 'c_Pair'(
% 0.45/1.07 Y, X, Z, Z ), 'c_Tarski_Opotype_Oorder'( T, Z, 'tc_Product__Type_Ounit' )
% 0.45/1.07 , 'tc_prod'( Z, Z ) ), true ) ) ] )
% 0.45/1.07 , 0, 25, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.45/1.07 :=( Z, 't_a' ), :=( T, 'v_cl' )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 132, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ), true ) ] )
% 0.45/1.07 , clause( 131, [ =( true, ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 18, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ), true ) ] )
% 0.45/1.07 , clause( 132, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ), true ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 134, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) )
% 0.45/1.07 , true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ) )
% 0.45/1.07 ] )
% 0.45/1.07 , clause( 13, [ =( ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ),
% 0.45/1.07 true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ),
% 0.45/1.07 true ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 138, [ =( true, ifeq( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a'
% 0.45/1.07 ) ), true, ifeq( true, true, 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'(
% 0.45/1.07 'v_S', 'v_cl', 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ), true ), true ) ) ] )
% 0.45/1.07 , clause( 2, [ =( 'c_in'( 'v_x', 'v_S', 't_a' ), true ) ] )
% 0.45/1.07 , 0, clause( 134, [ =( true, ifeq( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.45/1.07 't_a' ) ), true, ifeq( 'c_in'( Y, X, 't_a' ), true, 'c_in'( 'c_Pair'( Y,
% 0.45/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_S' ), :=( Y,
% 0.45/1.07 'v_x' )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 139, [ =( true, ifeq( true, true, ifeq( true, true, 'c_in'(
% 0.45/1.07 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 't_a', 't_a' )
% 0.45/1.07 , 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ) )
% 0.45/1.07 ] )
% 0.45/1.07 , clause( 1, [ =( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ), true )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, clause( 138, [ =( true, ifeq( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'(
% 0.45/1.07 't_a' ) ), true, ifeq( true, true, 'c_in'( 'c_Pair'( 'v_x',
% 0.45/1.07 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 140, [ =( true, ifeq( true, true, 'c_in'( 'c_Pair'( 'v_x',
% 0.45/1.07 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ) ) ] )
% 0.45/1.07 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 , 0, clause( 139, [ =( true, ifeq( true, true, ifeq( true, true, 'c_in'(
% 0.45/1.07 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 't_a', 't_a' )
% 0.45/1.07 , 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ), true ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( true, true, 'c_in'(
% 0.45/1.07 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 't_a', 't_a' )
% 0.45/1.07 , 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ) ), :=( Z
% 0.45/1.07 , true )] ), substitution( 1, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 142, [ =( true, 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S',
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.45/1.07 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 , 0, clause( 140, [ =( true, ifeq( true, true, 'c_in'( 'c_Pair'( 'v_x',
% 0.45/1.07 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true ) ) ] )
% 0.45/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( 'c_Pair'( 'v_x',
% 0.45/1.07 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ) ), :=( Z, true )] )
% 0.45/1.07 , substitution( 1, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 143, [ =( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.45/1.07 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ) ] )
% 0.45/1.07 , clause( 142, [ =( true, 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S',
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'(
% 0.45/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 19, [ =( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.45/1.07 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ) ] )
% 0.45/1.07 , clause( 143, [ =( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl'
% 0.45/1.07 , 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 145, [ =( true, ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 18, [ =( ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ), true ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 147, [ ~( =( true, 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl'
% 0.45/1.07 , 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) )
% 0.45/1.07 ] )
% 0.45/1.07 , clause( 3, [ ~( =( 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.45/1.07 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 148, [ =( true, ifeq( true, true, 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'(
% 0.45/1.07 'v_S', 'v_cl', 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ) ) ] )
% 0.45/1.07 , clause( 19, [ =( 'c_in'( 'c_Pair'( 'v_x', 'c_Tarski_Oglb'( 'v_S', 'v_cl'
% 0.45/1.07 , 't_a' ), 't_a', 't_a' ), 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'(
% 0.45/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a',
% 0.45/1.07 't_a' ) ), true ) ] )
% 0.45/1.07 , 0, clause( 145, [ =( true, ifeq( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.45/1.07 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.45/1.07 'tc_Product__Type_Ounit' ), 'tc_prod'( 't_a', 't_a' ) ), true, 'c_in'(
% 0.45/1.07 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), true
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y,
% 0.45/1.07 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ) )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 149, [ =( true, 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S', 'v_cl',
% 0.45/1.07 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.45/1.07 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.45/1.07 , 0, clause( 148, [ =( true, ifeq( true, true, 'c_in'( 'c_Pair'(
% 0.45/1.07 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r',
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ), true ) ) ] )
% 0.45/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( 'c_Pair'(
% 0.45/1.07 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r',
% 0.45/1.07 'tc_prod'( 't_a', 't_a' ) ) ), :=( Z, true )] ), substitution( 1, [] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 150, [] )
% 0.45/1.07 , clause( 147, [ ~( =( true, 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S',
% 0.45/1.07 'v_cl', 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 0.45/1.07 ) ) ) ] )
% 0.45/1.07 , 0, clause( 149, [ =( true, 'c_in'( 'c_Pair'( 'c_Tarski_Oglb'( 'v_S',
% 0.45/1.07 'v_cl', 't_a' ), 'v_x', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 20, [] )
% 0.45/1.07 , clause( 150, [] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 end.
% 0.45/1.07
% 0.45/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.07
% 0.45/1.07 Memory use:
% 0.45/1.07
% 0.45/1.07 space for terms: 964
% 0.45/1.07 space for clauses: 6616
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 clauses generated: 54
% 0.45/1.07 clauses kept: 21
% 0.45/1.07 clauses selected: 15
% 0.45/1.07 clauses deleted: 0
% 0.45/1.07 clauses inuse deleted: 0
% 0.45/1.07
% 0.45/1.07 subsentry: 537
% 0.45/1.07 literals s-matched: 257
% 0.45/1.07 literals matched: 257
% 0.45/1.07 full subsumption: 0
% 0.45/1.07
% 0.45/1.07 checksum: 249147083
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Bliksem ended
%------------------------------------------------------------------------------