TSTP Solution File: LAT281-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 03:50:03 EDT 2022
% Result : Unsatisfiable 0.66s 1.06s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.10 % Command : bliksem %s
% 0.09/0.29 % Computer : n029.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Wed Jun 29 06:48:52 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.66/1.06 *** allocated 10000 integers for termspace/termends
% 0.66/1.06 *** allocated 10000 integers for clauses
% 0.66/1.06 *** allocated 10000 integers for justifications
% 0.66/1.06 Bliksem 1.12
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Automatic Strategy Selection
% 0.66/1.06
% 0.66/1.06 Clauses:
% 0.66/1.06 [
% 0.66/1.06 [ 'c_in'( 'c_Pair'( 'v_a', 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.66/1.06 't_a', 't_a' ) ) ],
% 0.66/1.06 [ 'c_in'( 'c_Pair'( 'v_b', 'v_c', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.66/1.06 't_a', 't_a' ) ) ],
% 0.66/1.06 [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_c', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.66/1.06 't_a', 't_a' ) ) ) ],
% 0.66/1.06 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X
% 0.66/1.06 , 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( U, Z, Y, Y ), X, 'tc_prod'(
% 0.66/1.06 Y, Y ) ) ), 'c_in'( 'c_Pair'( U, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ],
% 0.66/1.06 [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.06 , 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.66/1.06 'tc_Product__Type_Ounit' ), Y ) ],
% 0.66/1.06 [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.06 ) ],
% 0.66/1.06 [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.06 'tc_Product__Type_Ounit' ) ) ]
% 0.66/1.06 ] .
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 percentage equality = 0.090909, percentage horn = 1.000000
% 0.66/1.06 This is a problem with some equality
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Options Used:
% 0.66/1.06
% 0.66/1.06 useres = 1
% 0.66/1.06 useparamod = 1
% 0.66/1.06 useeqrefl = 1
% 0.66/1.06 useeqfact = 1
% 0.66/1.06 usefactor = 1
% 0.66/1.06 usesimpsplitting = 0
% 0.66/1.06 usesimpdemod = 5
% 0.66/1.06 usesimpres = 3
% 0.66/1.06
% 0.66/1.06 resimpinuse = 1000
% 0.66/1.06 resimpclauses = 20000
% 0.66/1.06 substype = eqrewr
% 0.66/1.06 backwardsubs = 1
% 0.66/1.06 selectoldest = 5
% 0.66/1.06
% 0.66/1.06 litorderings [0] = split
% 0.66/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.66/1.06
% 0.66/1.06 termordering = kbo
% 0.66/1.06
% 0.66/1.06 litapriori = 0
% 0.66/1.06 termapriori = 1
% 0.66/1.06 litaposteriori = 0
% 0.66/1.06 termaposteriori = 0
% 0.66/1.06 demodaposteriori = 0
% 0.66/1.06 ordereqreflfact = 0
% 0.66/1.06
% 0.66/1.06 litselect = negord
% 0.66/1.06
% 0.66/1.06 maxweight = 15
% 0.66/1.06 maxdepth = 30000
% 0.66/1.06 maxlength = 115
% 0.66/1.06 maxnrvars = 195
% 0.66/1.06 excuselevel = 1
% 0.66/1.06 increasemaxweight = 1
% 0.66/1.06
% 0.66/1.06 maxselected = 10000000
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06
% 0.66/1.06 showgenerated = 0
% 0.66/1.06 showkept = 0
% 0.66/1.06 showselected = 0
% 0.66/1.06 showdeleted = 0
% 0.66/1.06 showresimp = 1
% 0.66/1.06 showstatus = 2000
% 0.66/1.06
% 0.66/1.06 prologoutput = 1
% 0.66/1.06 nrgoals = 5000000
% 0.66/1.06 totalproof = 1
% 0.66/1.06
% 0.66/1.06 Symbols occurring in the translation:
% 0.66/1.06
% 0.66/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.06 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.66/1.06 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.66/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.06 'v_a' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.66/1.06 'v_b' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.66/1.06 't_a' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.66/1.06 'c_Pair' [42, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.66/1.06 'v_r' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.66/1.06 'tc_prod' [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.66/1.06 'c_in' [45, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.66/1.06 'v_c' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.66/1.06 'c_Relation_Otrans' [49, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.66/1.06 'c_Tarski_OPartialOrder' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.66/1.06 'tc_Product__Type_Ounit' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type' [56, 2] (w:1, o:55, a:1, s:1
% 0.66/1.06 , b:0),
% 0.66/1.06 'c_Tarski_Opotype_Oorder' [57, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.66/1.06 'v_cl' [58, 0] (w:1, o:22, a:1, s:1, b:0).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06 Resimplifying inuse:
% 0.66/1.06 Done
% 0.66/1.06
% 0.66/1.06 Failed to find proof!
% 0.66/1.06 maxweight = 15
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06 Generated: 69
% 0.66/1.06 Kept: 15
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 The strategy used was not complete!
% 0.66/1.06
% 0.66/1.06 Increased maxweight to 16
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06 Resimplifying inuse:
% 0.66/1.06 Done
% 0.66/1.06
% 0.66/1.06 Failed to find proof!
% 0.66/1.06 maxweight = 16
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06 Generated: 69
% 0.66/1.06 Kept: 15
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 The strategy used was not complete!
% 0.66/1.06
% 0.66/1.06 Increased maxweight to 17
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06 Resimplifying inuse:
% 0.66/1.06 Done
% 0.66/1.06
% 0.66/1.06 Failed to find proof!
% 0.66/1.06 maxweight = 17
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06 Generated: 69
% 0.66/1.06 Kept: 15
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 The strategy used was not complete!
% 0.66/1.06
% 0.66/1.06 Increased maxweight to 18
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06 Resimplifying inuse:
% 0.66/1.06 Done
% 0.66/1.06
% 0.66/1.06 Failed to find proof!
% 0.66/1.06 maxweight = 18
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06 Generated: 69
% 0.66/1.06 Kept: 15
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 The strategy used was not complete!
% 0.66/1.06
% 0.66/1.06 Increased maxweight to 19
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06 Resimplifying inuse:
% 0.66/1.06 Done
% 0.66/1.06
% 0.66/1.06 Failed to find proof!
% 0.66/1.06 maxweight = 19
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06 Generated: 69
% 0.66/1.06 Kept: 15
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 The strategy used was not complete!
% 0.66/1.06
% 0.66/1.06 Increased maxweight to 20
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Bliksems!, er is een bewijs:
% 0.66/1.06 % SZS status Unsatisfiable
% 0.66/1.06 % SZS output start Refutation
% 0.66/1.06
% 0.66/1.06 clause( 0, [ 'c_in'( 'c_Pair'( 'v_a', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 1, [ 'c_in'( 'c_Pair'( 'v_b', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 2, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 3, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T, Y
% 0.66/1.06 , Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( U, Z, Y, Y ), X,
% 0.66/1.06 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( U, T, Y, Y ), X, 'tc_prod'( Y, Y
% 0.66/1.06 ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 4, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.06 , 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.66/1.06 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 5, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.06 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 6, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.06 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 9, [ ~( 'c_Relation_Otrans'( 'v_r', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.66/1.06 'v_b', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'(
% 0.66/1.06 'c_Pair'( 'v_a', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ]
% 0.66/1.06 )
% 0.66/1.06 .
% 0.66/1.06 clause( 14, [ 'c_Relation_Otrans'( 'v_r', 't_a' ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 16, [ ~( 'c_in'( 'c_Pair'( 'v_b', X, 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_a', X, 't_a', 't_a' )
% 0.66/1.06 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 17, [] )
% 0.66/1.06 .
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 % SZS output end Refutation
% 0.66/1.06 found a proof!
% 0.66/1.06
% 0.66/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.06
% 0.66/1.06 initialclauses(
% 0.66/1.06 [ clause( 19, [ 'c_in'( 'c_Pair'( 'v_a', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , clause( 20, [ 'c_in'( 'c_Pair'( 'v_b', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , clause( 21, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.06 , clause( 22, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T
% 0.66/1.06 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( U, Z, Y, Y ), X
% 0.66/1.06 , 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( U, T, Y, Y ), X, 'tc_prod'( Y
% 0.66/1.06 , Y ) ) ] )
% 0.66/1.06 , clause( 23, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.06 , 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.66/1.06 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.66/1.06 , clause( 24, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 25, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.06 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.06 ] ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 0, [ 'c_in'( 'c_Pair'( 'v_a', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , clause( 19, [ 'c_in'( 'c_Pair'( 'v_a', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 1, [ 'c_in'( 'c_Pair'( 'v_b', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , clause( 20, [ 'c_in'( 'c_Pair'( 'v_b', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 2, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.06 , clause( 21, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 3, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T, Y
% 0.66/1.06 , Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( U, Z, Y, Y ), X,
% 0.66/1.06 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( U, T, Y, Y ), X, 'tc_prod'( Y, Y
% 0.66/1.06 ) ) ] )
% 0.66/1.06 , clause( 22, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T
% 0.66/1.06 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( U, Z, Y, Y ), X
% 0.66/1.06 , 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( U, T, Y, Y ), X, 'tc_prod'( Y
% 0.66/1.06 , Y ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.06 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 0.66/1.06 , 3 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 4, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.06 , 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.66/1.06 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.66/1.06 , clause( 23, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.06 , 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.66/1.06 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.06 ), ==>( 1, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 5, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 24, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.06 ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 eqswap(
% 0.66/1.06 clause( 30, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.06 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.06 , clause( 25, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.06 'tc_Product__Type_Ounit' ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 6, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.06 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.06 , clause( 30, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.06 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 32, [ ~( 'c_Relation_Otrans'( 'v_r', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.66/1.06 'v_b', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'(
% 0.66/1.06 'c_Pair'( 'v_a', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ]
% 0.66/1.06 )
% 0.66/1.06 , clause( 3, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T
% 0.66/1.06 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( U, Z, Y, Y ), X
% 0.66/1.06 , 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( U, T, Y, Y ), X, 'tc_prod'( Y
% 0.66/1.06 , Y ) ) ] )
% 0.66/1.06 , 2, clause( 0, [ 'c_in'( 'c_Pair'( 'v_a', 'v_b', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'v_r' ), :=( Y, 't_a' ), :=( Z, 'v_b' ),
% 0.66/1.06 :=( T, X ), :=( U, 'v_a' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 9, [ ~( 'c_Relation_Otrans'( 'v_r', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.66/1.06 'v_b', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'(
% 0.66/1.06 'c_Pair'( 'v_a', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ]
% 0.66/1.06 )
% 0.66/1.06 , clause( 32, [ ~( 'c_Relation_Otrans'( 'v_r', 't_a' ) ), ~( 'c_in'(
% 0.66/1.06 'c_Pair'( 'v_b', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) )
% 0.66/1.06 , 'c_in'( 'c_Pair'( 'v_a', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a',
% 0.66/1.06 't_a' ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.66/1.06 1 ), ==>( 2, 2 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 34, [ 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a'
% 0.66/1.06 , 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.66/1.06 , clause( 4, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.66/1.06 , 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.66/1.06 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.66/1.06 , 0, clause( 5, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.66/1.06 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.66/1.06 ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'v_cl' ), :=( Y, 't_a' )] ), substitution( 1
% 0.66/1.06 , [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 paramod(
% 0.66/1.06 clause( 35, [ 'c_Relation_Otrans'( 'v_r', 't_a' ) ] )
% 0.66/1.06 , clause( 6, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.66/1.06 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.66/1.06 , 0, clause( 34, [ 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( 'v_cl',
% 0.66/1.06 't_a', 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.66/1.06 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 14, [ 'c_Relation_Otrans'( 'v_r', 't_a' ) ] )
% 0.66/1.06 , clause( 35, [ 'c_Relation_Otrans'( 'v_r', 't_a' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 36, [ ~( 'c_in'( 'c_Pair'( 'v_b', X, 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_a', X, 't_a', 't_a' )
% 0.66/1.06 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , clause( 9, [ ~( 'c_Relation_Otrans'( 'v_r', 't_a' ) ), ~( 'c_in'(
% 0.66/1.06 'c_Pair'( 'v_b', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) )
% 0.66/1.06 , 'c_in'( 'c_Pair'( 'v_a', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a',
% 0.66/1.06 't_a' ) ) ] )
% 0.66/1.06 , 0, clause( 14, [ 'c_Relation_Otrans'( 'v_r', 't_a' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 16, [ ~( 'c_in'( 'c_Pair'( 'v_b', X, 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_a', X, 't_a', 't_a' )
% 0.66/1.06 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , clause( 36, [ ~( 'c_in'( 'c_Pair'( 'v_b', X, 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_a', X, 't_a', 't_a' )
% 0.66/1.06 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.66/1.06 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 37, [ 'c_in'( 'c_Pair'( 'v_a', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , clause( 16, [ ~( 'c_in'( 'c_Pair'( 'v_b', X, 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_a', X, 't_a', 't_a' )
% 0.66/1.06 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , 0, clause( 1, [ 'c_in'( 'c_Pair'( 'v_b', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'v_c' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 38, [] )
% 0.66/1.06 , clause( 2, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.66/1.06 , 0, clause( 37, [ 'c_in'( 'c_Pair'( 'v_a', 'v_c', 't_a', 't_a' ), 'v_r',
% 0.66/1.06 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 17, [] )
% 0.66/1.06 , clause( 38, [] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 end.
% 0.66/1.06
% 0.66/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.06
% 0.66/1.06 Memory use:
% 0.66/1.06
% 0.66/1.06 space for terms: 585
% 0.66/1.06 space for clauses: 1764
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 clauses generated: 66
% 0.66/1.06 clauses kept: 18
% 0.66/1.06 clauses selected: 11
% 0.66/1.06 clauses deleted: 2
% 0.66/1.06 clauses inuse deleted: 0
% 0.66/1.06
% 0.66/1.06 subsentry: 39
% 0.66/1.06 literals s-matched: 21
% 0.66/1.06 literals matched: 21
% 0.66/1.06 full subsumption: 12
% 0.66/1.06
% 0.66/1.06 checksum: -277647208
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Bliksem ended
%------------------------------------------------------------------------------