TSTP Solution File: ANA017-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Thu Jul 14 18:38:16 EDT 2022
% Result : Unsatisfiable 0.79s 1.18s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Fri Jul 8 04:08:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.79/1.18 *** allocated 10000 integers for termspace/termends
% 0.79/1.18 *** allocated 10000 integers for clauses
% 0.79/1.18 *** allocated 10000 integers for justifications
% 0.79/1.18 Bliksem 1.12
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Automatic Strategy Selection
% 0.79/1.18
% 0.79/1.18 Clauses:
% 0.79/1.18 [
% 0.79/1.18 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ), 'c_times'( 'v_ca',
% 0.79/1.18 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ],
% 0.79/1.18 [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_b'( 'v_x'( X ) )
% 0.79/1.18 , 't_b' ), 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ),
% 0.79/1.18 't_b' ), 't_b' ), 't_b' ) ) ],
% 0.79/1.18 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.79/1.18 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.79/1.18 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 0.79/1.18 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.79/1.18 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X ), X ) ) ]
% 0.79/1.18 ,
% 0.79/1.18 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 0.79/1.18 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'(
% 0.79/1.18 Z, X ), X ) ) ],
% 0.79/1.18 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.79/1.18 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.79/1.18 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ],
% 0.79/1.18 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.79/1.18 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.79/1.18 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ]
% 0.79/1.18 ] .
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 percentage equality = 0.105263, percentage horn = 1.000000
% 0.79/1.18 This is a problem with some equality
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Options Used:
% 0.79/1.18
% 0.79/1.18 useres = 1
% 0.79/1.18 useparamod = 1
% 0.79/1.18 useeqrefl = 1
% 0.79/1.18 useeqfact = 1
% 0.79/1.18 usefactor = 1
% 0.79/1.18 usesimpsplitting = 0
% 0.79/1.18 usesimpdemod = 5
% 0.79/1.18 usesimpres = 3
% 0.79/1.18
% 0.79/1.18 resimpinuse = 1000
% 0.79/1.18 resimpclauses = 20000
% 0.79/1.18 substype = eqrewr
% 0.79/1.18 backwardsubs = 1
% 0.79/1.18 selectoldest = 5
% 0.79/1.18
% 0.79/1.18 litorderings [0] = split
% 0.79/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.18
% 0.79/1.18 termordering = kbo
% 0.79/1.18
% 0.79/1.18 litapriori = 0
% 0.79/1.18 termapriori = 1
% 0.79/1.18 litaposteriori = 0
% 0.79/1.18 termaposteriori = 0
% 0.79/1.18 demodaposteriori = 0
% 0.79/1.18 ordereqreflfact = 0
% 0.79/1.18
% 0.79/1.18 litselect = negord
% 0.79/1.18
% 0.79/1.18 maxweight = 15
% 0.79/1.18 maxdepth = 30000
% 0.79/1.18 maxlength = 115
% 0.79/1.18 maxnrvars = 195
% 0.79/1.18 excuselevel = 1
% 0.79/1.18 increasemaxweight = 1
% 0.79/1.18
% 0.79/1.18 maxselected = 10000000
% 0.79/1.18 maxnrclauses = 10000000
% 0.79/1.18
% 0.79/1.18 showgenerated = 0
% 0.79/1.18 showkept = 0
% 0.79/1.18 showselected = 0
% 0.79/1.18 showdeleted = 0
% 0.79/1.18 showresimp = 1
% 0.79/1.18 showstatus = 2000
% 0.79/1.18
% 0.79/1.18 prologoutput = 1
% 0.79/1.18 nrgoals = 5000000
% 0.79/1.18 totalproof = 1
% 0.79/1.18
% 0.79/1.18 Symbols occurring in the translation:
% 0.79/1.18
% 0.79/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.18 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.79/1.18 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.79/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.18 'v_b' [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.79/1.18 't_b' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.79/1.18 'c_HOL_Oabs' [42, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.79/1.18 'v_ca' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.79/1.18 'v_f' [44, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.79/1.18 'c_times' [45, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.79/1.18 'c_lessequals' [46, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.79/1.18 'v_c' [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.79/1.18 'v_x' [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.79/1.18 'class_Ring__and__Field_Oordered__idom' [49, 1] (w:1, o:27, a:1, s:1
% 0.79/1.18 , b:0),
% 0.79/1.18 'class_OrderedGroup_Olordered__ab__group__abs' [51, 1] (w:1, o:28, a:
% 0.79/1.18 1, s:1, b:0),
% 0.79/1.18 'c_0' [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.79/1.18 'class_OrderedGroup_Osemigroup__mult' [54, 1] (w:1, o:29, a:1, s:1
% 0.79/1.18 , b:0),
% 0.79/1.18 'class_Ring__and__Field_Opordered__semiring' [57, 1] (w:1, o:30, a:1
% 0.79/1.18 , s:1, b:0).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18 Resimplifying inuse:
% 0.79/1.18 Done
% 0.79/1.18
% 0.79/1.18 Failed to find proof!
% 0.79/1.18 maxweight = 15
% 0.79/1.18 maxnrclauses = 10000000
% 0.79/1.18 Generated: 324
% 0.79/1.18 Kept: 31
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 The strategy used was not complete!
% 0.79/1.18
% 0.79/1.18 Increased maxweight to 16
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18 Resimplifying inuse:
% 0.79/1.18 Done
% 0.79/1.18
% 0.79/1.18 Failed to find proof!
% 0.79/1.18 maxweight = 16
% 0.79/1.18 maxnrclauses = 10000000
% 0.79/1.18 Generated: 382
% 0.79/1.18 Kept: 36
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 The strategy used was not complete!
% 0.79/1.18
% 0.79/1.18 Increased maxweight to 17
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18 Resimplifying inuse:
% 0.79/1.18 Done
% 0.79/1.18
% 0.79/1.18 Failed to find proof!
% 0.79/1.18 maxweight = 17
% 0.79/1.18 maxnrclauses = 10000000
% 0.79/1.18 Generated: 397
% 0.79/1.18 Kept: 37
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 The strategy used was not complete!
% 0.79/1.18
% 0.79/1.18 Increased maxweight to 18
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18 Resimplifying inuse:
% 0.79/1.18 Done
% 0.79/1.18
% 0.79/1.18 Failed to find proof!
% 0.79/1.18 maxweight = 18
% 0.79/1.18 maxnrclauses = 10000000
% 0.79/1.18 Generated: 535
% 0.79/1.18 Kept: 43
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 The strategy used was not complete!
% 0.79/1.18
% 0.79/1.18 Increased maxweight to 19
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18 Resimplifying inuse:
% 0.79/1.18 Done
% 0.79/1.18
% 0.79/1.18 Failed to find proof!
% 0.79/1.18 maxweight = 19
% 0.79/1.18 maxnrclauses = 10000000
% 0.79/1.18 Generated: 553
% 0.79/1.18 Kept: 44
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 The strategy used was not complete!
% 0.79/1.18
% 0.79/1.18 Increased maxweight to 20
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18 Resimplifying inuse:
% 0.79/1.18 Done
% 0.79/1.18
% 0.79/1.18 Failed to find proof!
% 0.79/1.18 maxweight = 20
% 0.79/1.18 maxnrclauses = 10000000
% 0.79/1.18 Generated: 740
% 0.79/1.18 Kept: 53
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 The strategy used was not complete!
% 0.79/1.18
% 0.79/1.18 Increased maxweight to 21
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Bliksems!, er is een bewijs:
% 0.79/1.18 % SZS status Unsatisfiable
% 0.79/1.18 % SZS output start Refutation
% 0.79/1.18
% 0.79/1.18 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ), 'c_times'(
% 0.79/1.18 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 1, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_b'(
% 0.79/1.18 'v_x'( X ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'(
% 0.79/1.18 X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.79/1.18 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 4, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.79/1.18 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 0.79/1.18 )
% 0.79/1.18 .
% 0.79/1.18 clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.18 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.79/1.18 'c_times'( Y, Z, X ), X ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.79/1.18 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.79/1.18 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 11, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 12, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 13, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 14, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 22, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 0.79/1.18 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 24, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 0.79/1.18 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 34, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.79/1.18 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.79/1.18 , Y, 't_b' ), 't_b' ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 50, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_b'( Y ), 't_b'
% 0.79/1.18 ), 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'v_ca',
% 0.79/1.18 't_b' ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 57, [] )
% 0.79/1.18 .
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 % SZS output end Refutation
% 0.79/1.18 found a proof!
% 0.79/1.18
% 0.79/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.18
% 0.79/1.18 initialclauses(
% 0.79/1.18 [ clause( 59, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ),
% 0.79/1.18 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 60, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_b'(
% 0.79/1.18 'v_x'( X ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'(
% 0.79/1.18 X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , clause( 61, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.79/1.18 , clause( 62, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.79/1.18 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.79/1.18 , clause( 63, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.79/1.18 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 0.79/1.18 ), X ) ) ] )
% 0.79/1.18 , clause( 64, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.18 'c_HOL_Oabs'( 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X )
% 0.79/1.18 , 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 0.79/1.18 , clause( 65, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.79/1.18 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.79/1.18 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.79/1.18 , clause( 66, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.79/1.18 , clause( 67, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.79/1.18 , clause( 68, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.79/1.18 ] ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ), 'c_times'(
% 0.79/1.18 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 59, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ),
% 0.79/1.18 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.79/1.18 )
% 0.79/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 1, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_b'(
% 0.79/1.18 'v_x'( X ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'(
% 0.79/1.18 X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , clause( 60, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_b'(
% 0.79/1.18 'v_x'( X ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'(
% 0.79/1.18 X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.79/1.18 , clause( 61, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.79/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.79/1.18 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.79/1.18 , clause( 62, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.79/1.18 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.18 ), ==>( 1, 1 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 69, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 0.79/1.18 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 0.79/1.18 Z ) ) ] )
% 0.79/1.18 , clause( 63, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.79/1.18 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 0.79/1.18 ), X ) ) ] )
% 0.79/1.18 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.79/1.18 ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 4, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.79/1.18 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 69, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 0.79/1.18 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 0.79/1.18 Z ) ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 0.79/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 71, [ =( 'c_times'( 'c_HOL_Oabs'( X, Z ), 'c_HOL_Oabs'( Y, Z ), Z )
% 0.79/1.18 , 'c_HOL_Oabs'( 'c_times'( X, Y, Z ), Z ) ), ~(
% 0.79/1.18 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.79/1.18 , clause( 64, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.18 'c_HOL_Oabs'( 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X )
% 0.79/1.18 , 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 0.79/1.18 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.18 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.79/1.18 'c_times'( Y, Z, X ), X ) ) ] )
% 0.79/1.18 , clause( 71, [ =( 'c_times'( 'c_HOL_Oabs'( X, Z ), 'c_HOL_Oabs'( Y, Z ), Z
% 0.79/1.18 ), 'c_HOL_Oabs'( 'c_times'( X, Y, Z ), Z ) ), ~(
% 0.79/1.18 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.79/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.79/1.18 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.79/1.18 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.79/1.18 , clause( 65, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.79/1.18 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.79/1.18 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.79/1.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.79/1.18 ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.79/1.18 , clause( 66, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.79/1.18 1 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.79/1.18 , clause( 67, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.79/1.18 1 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.79/1.18 , clause( 68, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.79/1.18 1 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 84, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.79/1.18 , clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.79/1.18 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 11, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.79/1.18 , clause( 84, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.79/1.18 )
% 0.79/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 85, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.79/1.18 , clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.79/1.18 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 12, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.79/1.18 , clause( 85, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.79/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 86, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.79/1.18 , clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.18 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.79/1.18 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 13, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.79/1.18 , clause( 86, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.79/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 87, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.79/1.18 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.79/1.18 , 0, clause( 11, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' )
% 0.79/1.18 ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X )] ), substitution( 1, [] )
% 0.79/1.18 ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 14, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 87, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ]
% 0.79/1.18 )
% 0.79/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 88, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 0.79/1.18 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 0.79/1.18 ) ) ] )
% 0.79/1.18 , clause( 4, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.79/1.18 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X )
% 0.79/1.18 , T, X ) ) ] )
% 0.79/1.18 , 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.79/1.18 ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 89, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ), 'c_times'(
% 0.79/1.18 X, 'c_times'( Y, Z, 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , clause( 88, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 0.79/1.18 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 0.79/1.18 ) ) ] )
% 0.79/1.18 , 1, clause( 13, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 't_b' )] )
% 0.79/1.18 , substitution( 1, [] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 90, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 0.79/1.18 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.79/1.18 , clause( 89, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 0.79/1.18 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 22, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 0.79/1.18 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.79/1.18 , clause( 90, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 0.79/1.18 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 91, [ =( 'c_HOL_Oabs'( 'c_times'( X, Z, Y ), Y ), 'c_times'(
% 0.79/1.18 'c_HOL_Oabs'( X, Y ), 'c_HOL_Oabs'( Z, Y ), Y ) ), ~(
% 0.79/1.18 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.79/1.18 , clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.18 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.79/1.18 'c_times'( Y, Z, X ), X ) ) ] )
% 0.79/1.18 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 92, [ =( 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ), 'c_times'(
% 0.79/1.18 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , clause( 91, [ =( 'c_HOL_Oabs'( 'c_times'( X, Z, Y ), Y ), 'c_times'(
% 0.79/1.18 'c_HOL_Oabs'( X, Y ), 'c_HOL_Oabs'( Z, Y ), Y ) ), ~(
% 0.79/1.18 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.79/1.18 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' ), :=( Z, Y )] ),
% 0.79/1.18 substitution( 1, [] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 93, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 0.79/1.18 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , clause( 92, [ =( 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ),
% 0.79/1.18 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' ) )
% 0.79/1.18 ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 24, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 0.79/1.18 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , clause( 93, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 0.79/1.18 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.18 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 95, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ),
% 0.79/1.18 ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.79/1.18 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.79/1.18 , Y, 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.79/1.18 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.79/1.18 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.79/1.18 , 2, clause( 14, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' )
% 0.79/1.18 ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y ), :=( T,
% 0.79/1.18 'c_HOL_Oabs'( Z, 't_b' ) )] ), substitution( 1, [ :=( X, Z )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 97, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.79/1.18 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.79/1.18 , Y, 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 95, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) )
% 0.79/1.18 , ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.79/1.18 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.79/1.18 , Y, 't_b' ), 't_b' ) ] )
% 0.79/1.18 , 0, clause( 12, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ]
% 0.79/1.18 )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.18 substitution( 1, [] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 34, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.79/1.18 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.79/1.18 , Y, 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 97, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.79/1.18 'c_times'( 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'(
% 0.79/1.18 Z, 't_b' ), Y, 't_b' ), 't_b' ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 100, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( Y, 't_b' ),
% 0.79/1.18 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( Y,
% 0.79/1.18 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ),
% 0.79/1.18 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 34, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.79/1.18 'c_times'( 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'(
% 0.79/1.18 Z, 't_b' ), Y, 't_b' ), 't_b' ) ] )
% 0.79/1.18 , 0, clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ),
% 0.79/1.18 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.79/1.18 )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ) ), :=( Y,
% 0.79/1.18 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ) ), :=( Z, Y
% 0.79/1.18 )] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 paramod(
% 0.79/1.18 clause( 101, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_b'( Y ),
% 0.79/1.18 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_times'( 'v_ca'
% 0.79/1.18 , 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 24, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 0.79/1.18 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , 0, clause( 100, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( Y, 't_b' ),
% 0.79/1.18 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( Y,
% 0.79/1.18 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ),
% 0.79/1.18 't_b' ), 't_b' ) ] )
% 0.79/1.18 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_b'( Y ) )] ),
% 0.79/1.18 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 paramod(
% 0.79/1.18 clause( 102, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_b'( Y ),
% 0.79/1.18 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'v_ca'
% 0.79/1.18 , 't_b' ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 22, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 0.79/1.18 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.79/1.18 , 0, clause( 101, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_b'( Y )
% 0.79/1.18 , 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_times'(
% 0.79/1.18 'v_ca', 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 , 0, 8, substitution( 0, [ :=( X, 'c_HOL_Oabs'( X, 't_b' ) ), :=( Y, 'v_ca'
% 0.79/1.18 ), :=( Z, 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ) )] ), substitution( 1, [
% 0.79/1.18 :=( X, X ), :=( Y, Y )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 50, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_b'( Y ), 't_b'
% 0.79/1.18 ), 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'v_ca',
% 0.79/1.18 't_b' ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 , clause( 102, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_b'( Y ),
% 0.79/1.18 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'v_ca'
% 0.79/1.18 , 't_b' ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.18 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 resolution(
% 0.79/1.18 clause( 103, [] )
% 0.79/1.18 , clause( 1, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_b'(
% 0.79/1.18 'v_x'( X ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'(
% 0.79/1.18 X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.79/1.18 , 0, clause( 50, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_b'( Y ),
% 0.79/1.18 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'v_ca'
% 0.79/1.18 , 't_b' ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_b' ),
% 0.79/1.18 'v_ca', 't_b' ) )] ), substitution( 1, [ :=( X, 'v_c' ), :=( Y, 'v_x'(
% 0.79/1.18 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_b' ), 'v_ca', 't_b' ) ) )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 57, [] )
% 0.79/1.18 , clause( 103, [] )
% 0.79/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 end.
% 0.79/1.18
% 0.79/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.18
% 0.79/1.18 Memory use:
% 0.79/1.18
% 0.79/1.18 space for terms: 1312
% 0.79/1.18 space for clauses: 5740
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 clauses generated: 538
% 0.79/1.18 clauses kept: 58
% 0.79/1.18 clauses selected: 49
% 0.79/1.18 clauses deleted: 0
% 0.79/1.18 clauses inuse deleted: 0
% 0.79/1.18
% 0.79/1.18 subsentry: 223
% 0.79/1.18 literals s-matched: 160
% 0.79/1.18 literals matched: 160
% 0.79/1.18 full subsumption: 3
% 0.79/1.18
% 0.79/1.18 checksum: 1962949146
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Bliksem ended
%------------------------------------------------------------------------------