TSTP Solution File: LAT263-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT263-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 03:49:43 EDT 2022
% Result : Unsatisfiable 0.41s 1.07s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT263-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.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 05:39:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.07 *** allocated 10000 integers for termspace/termends
% 0.41/1.07 *** allocated 10000 integers for clauses
% 0.41/1.07 *** allocated 10000 integers for justifications
% 0.41/1.07 Bliksem 1.12
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Automatic Strategy Selection
% 0.41/1.07
% 0.41/1.07 Clauses:
% 0.41/1.07 [
% 0.41/1.07 [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ],
% 0.41/1.07 [ ~( 'c_in'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_A', 't_a' ) ) ]
% 0.41/1.07 ,
% 0.41/1.07 [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ],
% 0.41/1.07 [ ~( 'c_in'( X, 'c_Tarski_OCompleteLattice',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_lessequals'( Z, 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Y ) ) ), 'c_in'( 'c_Tarski_Olub'( Z
% 0.41/1.07 , X, Y ), 'c_Tarski_Opotype_Opset'( X, Y, 'tc_Product__Type_Ounit' ), Y )
% 0.41/1.07 ],
% 0.41/1.07 [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OCompleteLattice'
% 0.41/1.07 , 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit'
% 0.41/1.07 ) ) ],
% 0.41/1.07 [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.07 ) ],
% 0.41/1.07 [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y
% 0.41/1.07 , Z ), Z ) ) ],
% 0.41/1.07 [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ]
% 0.41/1.07 ] .
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 percentage equality = 0.272727, percentage horn = 1.000000
% 0.41/1.07 This is a problem with some equality
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Options Used:
% 0.41/1.07
% 0.41/1.07 useres = 1
% 0.41/1.07 useparamod = 1
% 0.41/1.07 useeqrefl = 1
% 0.41/1.07 useeqfact = 1
% 0.41/1.07 usefactor = 1
% 0.41/1.07 usesimpsplitting = 0
% 0.41/1.07 usesimpdemod = 5
% 0.41/1.07 usesimpres = 3
% 0.41/1.07
% 0.41/1.07 resimpinuse = 1000
% 0.41/1.07 resimpclauses = 20000
% 0.41/1.07 substype = eqrewr
% 0.41/1.07 backwardsubs = 1
% 0.41/1.07 selectoldest = 5
% 0.41/1.07
% 0.41/1.07 litorderings [0] = split
% 0.41/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.07
% 0.41/1.07 termordering = kbo
% 0.41/1.07
% 0.41/1.07 litapriori = 0
% 0.41/1.07 termapriori = 1
% 0.41/1.07 litaposteriori = 0
% 0.41/1.07 termaposteriori = 0
% 0.41/1.07 demodaposteriori = 0
% 0.41/1.07 ordereqreflfact = 0
% 0.41/1.07
% 0.41/1.07 litselect = negord
% 0.41/1.07
% 0.41/1.07 maxweight = 15
% 0.41/1.07 maxdepth = 30000
% 0.41/1.07 maxlength = 115
% 0.41/1.07 maxnrvars = 195
% 0.41/1.07 excuselevel = 1
% 0.41/1.07 increasemaxweight = 1
% 0.41/1.07
% 0.41/1.07 maxselected = 10000000
% 0.41/1.07 maxnrclauses = 10000000
% 0.41/1.07
% 0.41/1.07 showgenerated = 0
% 0.41/1.07 showkept = 0
% 0.41/1.07 showselected = 0
% 0.41/1.07 showdeleted = 0
% 0.41/1.07 showresimp = 1
% 0.41/1.07 showstatus = 2000
% 0.41/1.07
% 0.41/1.07 prologoutput = 1
% 0.41/1.07 nrgoals = 5000000
% 0.41/1.07 totalproof = 1
% 0.41/1.07
% 0.41/1.07 Symbols occurring in the translation:
% 0.41/1.07
% 0.41/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.07 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.41/1.07 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.41/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.07 'v_S' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.41/1.07 'v_A' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.41/1.07 't_a' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.41/1.07 'tc_set' [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.41/1.07 'c_lessequals' [43, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.41/1.07 'v_cl' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.41/1.07 'c_Tarski_Oglb' [45, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.41/1.07 'c_in' [46, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.41/1.07 'tc_Product__Type_Ounit' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.41/1.07 'c_Tarski_Opotype_Opset' [48, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.41/1.07 'c_Tarski_OCompleteLattice' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type' [52, 2] (w:1, o:50, a:1, s:1
% 0.41/1.07 , b:0),
% 0.41/1.07 'c_Tarski_OPartialOrder' [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.41/1.07 'c_Tarski_Olub' [55, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.41/1.07 'c_Tarski_Odual' [56, 2] (w:1, o:51, a:1, s:1, b:0).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Starting Search:
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Bliksems!, er is een bewijs:
% 0.41/1.07 % SZS status Unsatisfiable
% 0.41/1.07 % SZS output start Refutation
% 0.41/1.07
% 0.41/1.07 clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 1, [ ~( 'c_in'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_A',
% 0.41/1.07 't_a' ) ) ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 3, [ ~( 'c_in'( X, 'c_Tarski_OCompleteLattice',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_lessequals'( Z, 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Y ) ) ), 'c_in'( 'c_Tarski_Olub'( Z
% 0.41/1.07 , X, Y ), 'c_Tarski_Opotype_Opset'( X, Y, 'tc_Product__Type_Ounit' ), Y )
% 0.41/1.07 ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 4, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.41/1.07 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 5, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 6, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.41/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 7, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 8, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.41/1.07 .
% 0.41/1.07 clause( 11, [] )
% 0.41/1.07 .
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 % SZS output end Refutation
% 0.41/1.07 found a proof!
% 0.41/1.07
% 0.41/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.07
% 0.41/1.07 initialclauses(
% 0.41/1.07 [ clause( 13, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.41/1.07 , clause( 14, [ ~( 'c_in'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_A',
% 0.41/1.07 't_a' ) ) ] )
% 0.41/1.07 , clause( 15, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , clause( 16, [ ~( 'c_in'( X, 'c_Tarski_OCompleteLattice',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_lessequals'( Z, 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Y ) ) ), 'c_in'( 'c_Tarski_Olub'( Z
% 0.41/1.07 , X, Y ), 'c_Tarski_Opotype_Opset'( X, Y, 'tc_Product__Type_Ounit' ), Y )
% 0.41/1.07 ] )
% 0.41/1.07 , clause( 17, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.41/1.07 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , clause( 18, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , clause( 19, [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X,
% 0.41/1.07 'c_Tarski_Odual'( Y, Z ), Z ) ) ] )
% 0.41/1.07 , clause( 20, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 ] ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.41/1.07 , clause( 13, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.41/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 1, [ ~( 'c_in'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_A',
% 0.41/1.07 't_a' ) ) ] )
% 0.41/1.07 , clause( 14, [ ~( 'c_in'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_A',
% 0.41/1.07 't_a' ) ) ] )
% 0.41/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 eqswap(
% 0.41/1.07 clause( 21, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.07 , clause( 15, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , 0, substitution( 0, [] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.07 , clause( 21, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 3, [ ~( 'c_in'( X, 'c_Tarski_OCompleteLattice',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_lessequals'( Z, 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Y ) ) ), 'c_in'( 'c_Tarski_Olub'( Z
% 0.41/1.07 , X, Y ), 'c_Tarski_Opotype_Opset'( X, Y, 'tc_Product__Type_Ounit' ), Y )
% 0.41/1.07 ] )
% 0.41/1.07 , clause( 16, [ ~( 'c_in'( X, 'c_Tarski_OCompleteLattice',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_lessequals'( Z, 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Y ) ) ), 'c_in'( 'c_Tarski_Olub'( Z
% 0.41/1.07 , X, Y ), 'c_Tarski_Opotype_Opset'( X, Y, 'tc_Product__Type_Ounit' ), Y )
% 0.41/1.07 ] )
% 0.41/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.41/1.07 ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 4, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.41/1.07 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , clause( 17, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.41/1.07 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 5, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , clause( 18, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 eqswap(
% 0.41/1.07 clause( 26, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.41/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.41/1.07 , clause( 19, [ =( 'c_Tarski_Oglb'( X, Y, Z ), 'c_Tarski_Olub'( X,
% 0.41/1.07 'c_Tarski_Odual'( Y, Z ), Z ) ) ] )
% 0.41/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 6, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.41/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.41/1.07 , clause( 26, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.41/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.41/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 7, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , clause( 20, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.07 )] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 resolution(
% 0.41/1.07 clause( 35, [ ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ), ~( 'c_lessequals'( X,
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ),
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.41/1.07 , clause( 3, [ ~( 'c_in'( X, 'c_Tarski_OCompleteLattice',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.07 , ~( 'c_lessequals'( Z, 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( Y ) ) ), 'c_in'( 'c_Tarski_Olub'( Z
% 0.41/1.07 , X, Y ), 'c_Tarski_Opotype_Opset'( X, Y, 'tc_Product__Type_Ounit' ), Y )
% 0.41/1.07 ] )
% 0.41/1.07 , 0, clause( 4, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.41/1.07 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , 0, substitution( 0, [ :=( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ) ), :=( Y,
% 0.41/1.07 't_a' ), :=( Z, X )] ), substitution( 1, [] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 paramod(
% 0.41/1.07 clause( 37, [ 'c_in'( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' )
% 0.41/1.07 , 't_a' ), 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 't_a' ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl'
% 0.41/1.07 , 't_a' ), 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.07 ) ), ~( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'(
% 0.41/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) )
% 0.41/1.07 ] )
% 0.41/1.07 , clause( 7, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , 0, clause( 35, [ ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ), ~( 'c_lessequals'( X,
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a' ),
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.41/1.07 , 2, 7, substitution( 0, [ :=( X, 'v_cl' ), :=( Y, 't_a' )] ),
% 0.41/1.07 substitution( 1, [ :=( X, X )] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 paramod(
% 0.41/1.07 clause( 39, [ 'c_in'( 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ),
% 0.41/1.07 't_a' ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ), ~( 'c_lessequals'( X,
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.41/1.07 , clause( 6, [ =( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( Y, Z ), Z ),
% 0.41/1.07 'c_Tarski_Oglb'( X, Y, Z ) ) ] )
% 0.41/1.07 , 0, clause( 37, [ 'c_in'( 'c_Tarski_Olub'( X, 'c_Tarski_Odual'( 'v_cl',
% 0.41/1.07 't_a' ), 't_a' ), 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 't_a' ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl'
% 0.41/1.07 , 't_a' ), 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.07 ) ), ~( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'(
% 0.41/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) )
% 0.41/1.07 ] )
% 0.41/1.07 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_cl' ), :=( Z, 't_a' )] ),
% 0.41/1.07 substitution( 1, [ :=( X, X )] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 paramod(
% 0.41/1.07 clause( 40, [ 'c_in'( 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ),
% 0.41/1.07 ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.07 ) ), ~( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'(
% 0.41/1.07 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) )
% 0.41/1.07 ] )
% 0.41/1.07 , clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.07 , 0, clause( 39, [ 'c_in'( 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ),
% 0.41/1.07 't_a' ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ), ~( 'c_lessequals'( X,
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.41/1.07 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 paramod(
% 0.41/1.07 clause( 41, [ ~( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a'
% 0.41/1.07 , 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ), ~( 'c_in'(
% 0.41/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.07 ) ) ] )
% 0.41/1.07 , clause( 7, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , 0, clause( 40, [ 'c_in'( 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A',
% 0.41/1.07 't_a' ), ~( 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ), ~( 'c_lessequals'( X,
% 0.41/1.07 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.41/1.07 , 2, 3, substitution( 0, [ :=( X, 'v_cl' ), :=( Y, 't_a' )] ),
% 0.41/1.07 substitution( 1, [ :=( X, X )] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 paramod(
% 0.41/1.07 clause( 42, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ), ~( 'c_in'(
% 0.41/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.07 ) ) ] )
% 0.41/1.07 , clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.07 , 0, clause( 41, [ ~( 'c_lessequals'( X, 'c_Tarski_Opotype_Opset'( 'v_cl',
% 0.41/1.07 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ), ~( 'c_in'(
% 0.41/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.07 ) ) ] )
% 0.41/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 resolution(
% 0.41/1.07 clause( 43, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.41/1.07 , clause( 42, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ), ~( 'c_in'(
% 0.41/1.07 'c_Tarski_Odual'( 'v_cl', 't_a' ), 'c_Tarski_OPartialOrder',
% 0.41/1.07 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.07 ) ) ] )
% 0.41/1.07 , 2, clause( 5, [ 'c_in'( 'c_Tarski_Odual'( 'v_cl', 't_a' ),
% 0.41/1.07 'c_Tarski_OPartialOrder', 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a',
% 0.41/1.07 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 8, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.41/1.07 , clause( 43, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.41/1.07 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.41/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.41/1.07 1 )] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 resolution(
% 0.41/1.07 clause( 44, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.41/1.07 , clause( 1, [ ~( 'c_in'( 'c_Tarski_Oglb'( 'v_S', 'v_cl', 't_a' ), 'v_A',
% 0.41/1.07 't_a' ) ) ] )
% 0.41/1.07 , 0, clause( 8, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ),
% 0.41/1.07 'c_in'( 'c_Tarski_Oglb'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.41/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_S' )] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 resolution(
% 0.41/1.07 clause( 45, [] )
% 0.41/1.07 , clause( 44, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.41/1.07 , 0, clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.41/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 subsumption(
% 0.41/1.07 clause( 11, [] )
% 0.41/1.07 , clause( 45, [] )
% 0.41/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 end.
% 0.41/1.07
% 0.41/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.07
% 0.41/1.07 Memory use:
% 0.41/1.07
% 0.41/1.07 space for terms: 392
% 0.41/1.07 space for clauses: 1034
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 clauses generated: 22
% 0.41/1.07 clauses kept: 12
% 0.41/1.07 clauses selected: 9
% 0.41/1.07 clauses deleted: 0
% 0.41/1.07 clauses inuse deleted: 0
% 0.41/1.07
% 0.41/1.07 subsentry: 78
% 0.41/1.07 literals s-matched: 37
% 0.41/1.07 literals matched: 37
% 0.41/1.07 full subsumption: 0
% 0.41/1.07
% 0.41/1.07 checksum: 2067814582
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Bliksem ended
%------------------------------------------------------------------------------