TSTP Solution File: ANA043-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA043-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 18:38:46 EDT 2022
% Result : Unsatisfiable 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA043-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 8 06:50:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.10 *** allocated 10000 integers for termspace/termends
% 0.72/1.10 *** allocated 10000 integers for clauses
% 0.72/1.10 *** allocated 10000 integers for justifications
% 0.72/1.10 Bliksem 1.12
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Automatic Strategy Selection
% 0.72/1.10
% 0.72/1.10 Clauses:
% 0.72/1.10 [
% 0.72/1.10 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 'c_times'( 'v_c',
% 0.72/1.10 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ],
% 0.72/1.10 [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_l'( 'v_x'( X ), 'v_xa'(
% 0.72/1.10 X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_k'( 'v_x'( X ), 'v_xa'( X ) ) ),
% 0.72/1.10 't_b' ), 't_b' ), 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_l'( 'v_x'( X
% 0.72/1.10 ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_h'( 'v_k'( 'v_x'( X ),
% 0.72/1.10 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ],
% 0.72/1.10 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.72/1.10 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.72/1.10 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 0.72/1.10 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 'c_times'( Y,
% 0.72/1.10 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X ), X ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.72/1.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.72/1.10 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ],
% 0.72/1.10 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.72/1.10 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.72/1.10 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ]
% 0.72/1.10 ] .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 percentage equality = 0.058824, percentage horn = 1.000000
% 0.72/1.10 This is a problem with some equality
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Options Used:
% 0.72/1.10
% 0.72/1.10 useres = 1
% 0.72/1.10 useparamod = 1
% 0.72/1.10 useeqrefl = 1
% 0.72/1.10 useeqfact = 1
% 0.72/1.10 usefactor = 1
% 0.72/1.10 usesimpsplitting = 0
% 0.72/1.10 usesimpdemod = 5
% 0.72/1.10 usesimpres = 3
% 0.72/1.10
% 0.72/1.10 resimpinuse = 1000
% 0.72/1.10 resimpclauses = 20000
% 0.72/1.10 substype = eqrewr
% 0.72/1.10 backwardsubs = 1
% 0.72/1.10 selectoldest = 5
% 0.72/1.10
% 0.72/1.10 litorderings [0] = split
% 0.72/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.10
% 0.72/1.10 termordering = kbo
% 0.72/1.10
% 0.72/1.10 litapriori = 0
% 0.72/1.10 termapriori = 1
% 0.72/1.10 litaposteriori = 0
% 0.72/1.10 termaposteriori = 0
% 0.72/1.10 demodaposteriori = 0
% 0.72/1.10 ordereqreflfact = 0
% 0.72/1.10
% 0.72/1.10 litselect = negord
% 0.72/1.10
% 0.72/1.10 maxweight = 15
% 0.72/1.10 maxdepth = 30000
% 0.72/1.10 maxlength = 115
% 0.72/1.10 maxnrvars = 195
% 0.72/1.10 excuselevel = 1
% 0.72/1.10 increasemaxweight = 1
% 0.72/1.10
% 0.72/1.10 maxselected = 10000000
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10
% 0.72/1.10 showgenerated = 0
% 0.72/1.10 showkept = 0
% 0.72/1.10 showselected = 0
% 0.72/1.10 showdeleted = 0
% 0.72/1.10 showresimp = 1
% 0.72/1.10 showstatus = 2000
% 0.72/1.10
% 0.72/1.10 prologoutput = 1
% 0.72/1.10 nrgoals = 5000000
% 0.72/1.10 totalproof = 1
% 0.72/1.10
% 0.72/1.10 Symbols occurring in the translation:
% 0.72/1.10
% 0.72/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.10 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.10 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.72/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 'v_f' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.10 't_b' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.10 'c_HOL_Oabs' [42, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.10 'v_c' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.10 'v_h' [44, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.10 'c_times' [45, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.10 'c_lessequals' [46, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.10 'v_x' [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.10 'v_xa' [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.10 'v_l' [49, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.10 'v_k' [50, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.10 'class_Ring__and__Field_Oordered__idom' [51, 1] (w:1, o:27, a:1, s:1
% 0.72/1.10 , b:0),
% 0.72/1.10 'class_OrderedGroup_Olordered__ab__group__abs' [53, 1] (w:1, o:28, a:
% 0.72/1.10 1, s:1, b:0),
% 0.72/1.10 'c_0' [54, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.10 'class_OrderedGroup_Oab__semigroup__mult' [56, 1] (w:1, o:29, a:1, s:
% 0.72/1.10 1, b:0),
% 0.72/1.10 'class_Ring__and__Field_Opordered__semiring' [59, 1] (w:1, o:30, a:1
% 0.72/1.10 , s:1, b:0).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 15
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 500
% 0.72/1.10 Kept: 25
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 16
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 16
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 539
% 0.72/1.10 Kept: 29
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 17
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 17
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 539
% 0.72/1.10 Kept: 29
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 18
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 18
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 657
% 0.72/1.10 Kept: 34
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 19
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 19
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 657
% 0.72/1.10 Kept: 34
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 20
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 20
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 732
% 0.72/1.10 Kept: 37
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 21
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 21
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 1290
% 0.72/1.10 Kept: 40
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 22
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 22
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 1290
% 0.72/1.10 Kept: 40
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 23
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksems!, er is een bewijs:
% 0.72/1.10 % SZS status Unsatisfiable
% 0.72/1.10 % SZS output start Refutation
% 0.72/1.10
% 0.72/1.10 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 'c_times'(
% 0.72/1.10 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 1, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_l'( 'v_x'( X )
% 0.72/1.10 , 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_k'( 'v_x'( X ), 'v_xa'(
% 0.72/1.10 X ) ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_l'(
% 0.72/1.10 'v_x'( X ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_h'( 'v_k'( 'v_x'( X
% 0.72/1.10 ), 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.72/1.10 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 4, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.72/1.10 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 0.72/1.10 ), X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 5, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.72/1.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.72/1.10 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 10, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 11, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 13, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 21, [ =( 'c_times'( X, 'c_times'( Y, Z, T ), T ), 'c_times'( Y,
% 0.72/1.10 'c_times'( X, Z, T ), T ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.72/1.10 T ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 29, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.72/1.10 , Y, 't_b' ), 't_b' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 38, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( X,
% 0.72/1.10 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 47, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'v_c', 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 48, [] )
% 0.72/1.10 .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 % SZS output end Refutation
% 0.72/1.10 found a proof!
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 initialclauses(
% 0.72/1.10 [ clause( 50, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ),
% 0.72/1.10 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 51, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_l'( 'v_x'( X
% 0.72/1.10 ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_k'( 'v_x'( X ),
% 0.72/1.10 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_times'( 'c_HOL_Oabs'(
% 0.72/1.10 'v_l'( 'v_x'( X ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_h'( 'v_k'(
% 0.72/1.10 'v_x'( X ), 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.72/1.10 , clause( 52, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.72/1.10 , clause( 53, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.72/1.10 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.72/1.10 , clause( 54, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.72/1.10 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 0.72/1.10 ), X ) ) ] )
% 0.72/1.10 , clause( 55, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.72/1.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.72/1.10 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.72/1.10 , clause( 56, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.72/1.10 , clause( 57, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.72/1.10 , clause( 58, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.72/1.10 ] ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 'c_times'(
% 0.72/1.10 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 50, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ),
% 0.72/1.10 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.72/1.10 )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 1, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_l'( 'v_x'( X )
% 0.72/1.10 , 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_k'( 'v_x'( X ), 'v_xa'(
% 0.72/1.10 X ) ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_l'(
% 0.72/1.10 'v_x'( X ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_h'( 'v_k'( 'v_x'( X
% 0.72/1.10 ), 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.72/1.10 , clause( 51, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_l'( 'v_x'( X
% 0.72/1.10 ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_k'( 'v_x'( X ),
% 0.72/1.10 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_times'( 'c_HOL_Oabs'(
% 0.72/1.10 'v_l'( 'v_x'( X ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_h'( 'v_k'(
% 0.72/1.10 'v_x'( X ), 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.72/1.10 , clause( 52, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.72/1.10 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.72/1.10 , clause( 53, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.72/1.10 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 ), ==>( 1, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 4, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.72/1.10 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 0.72/1.10 ), X ) ) ] )
% 0.72/1.10 , clause( 54, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.72/1.10 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 0.72/1.10 ), X ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 5, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.72/1.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.72/1.10 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.72/1.10 , clause( 55, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.72/1.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.72/1.10 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.72/1.10 , clause( 56, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.10 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.72/1.10 , clause( 57, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.10 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.72/1.10 , clause( 58, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.10 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 63, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.72/1.10 , clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.72/1.10 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 10, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.72/1.10 , clause( 63, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.72/1.10 )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 64, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.72/1.10 , clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.72/1.10 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 11, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.72/1.10 , clause( 64, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 65, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.72/1.10 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.72/1.10 , 0, clause( 10, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' )
% 0.72/1.10 ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X )] ), substitution( 1, [] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 13, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 65, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ]
% 0.72/1.10 )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 66, [ =( 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z,
% 0.72/1.10 'c_times'( Y, T, X ), X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.72/1.10 X ) ) ] )
% 0.72/1.10 , clause( 4, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.72/1.10 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 0.72/1.10 ), X ) ) ] )
% 0.72/1.10 , 0, clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.72/1.10 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.72/1.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 substitution( 1, [ :=( X, X )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 21, [ =( 'c_times'( X, 'c_times'( Y, Z, T ), T ), 'c_times'( Y,
% 0.72/1.10 'c_times'( X, Z, T ), T ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.72/1.10 T ) ) ] )
% 0.72/1.10 , clause( 66, [ =( 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z,
% 0.72/1.10 'c_times'( Y, T, X ), X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.72/1.10 X ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 68, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ),
% 0.72/1.10 ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.72/1.10 , Y, 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 5, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.72/1.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.72/1.10 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.72/1.10 , 2, clause( 13, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' )
% 0.72/1.10 ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y ), :=( T,
% 0.72/1.10 'c_HOL_Oabs'( Z, 't_b' ) )] ), substitution( 1, [ :=( X, Z )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 70, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.72/1.10 , Y, 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 68, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) )
% 0.72/1.10 , ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.72/1.10 , Y, 't_b' ), 't_b' ) ] )
% 0.72/1.10 , 0, clause( 11, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ]
% 0.72/1.10 )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 29, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_b' )
% 0.72/1.10 , Y, 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 70, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.72/1.10 'c_times'( 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'(
% 0.72/1.10 Z, 't_b' ), Y, 't_b' ), 't_b' ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 71, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( Y, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( Y,
% 0.72/1.10 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 29, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.72/1.10 'c_times'( 'c_HOL_Oabs'( Z, 't_b' ), X, 't_b' ), 'c_times'( 'c_HOL_Oabs'(
% 0.72/1.10 Z, 't_b' ), Y, 't_b' ), 't_b' ) ] )
% 0.72/1.10 , 0, clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ),
% 0.72/1.10 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.72/1.10 )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ) ), :=( Y,
% 0.72/1.10 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ) ), :=( Z, Y
% 0.72/1.10 )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 38, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( X,
% 0.72/1.10 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 71, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( Y, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( Y,
% 0.72/1.10 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 72, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'v_c', 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 21, [ =( 'c_times'( X, 'c_times'( Y, Z, T ), T ), 'c_times'( Y,
% 0.72/1.10 'c_times'( X, Z, T ), T ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.72/1.10 T ) ) ] )
% 0.72/1.10 , 0, clause( 38, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'c_HOL_Oabs'( X,
% 0.72/1.10 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 , 0, 10, substitution( 0, [ :=( X, 'c_HOL_Oabs'( X, 't_b' ) ), :=( Y, 'v_c'
% 0.72/1.10 ), :=( Z, 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ) ), :=( T, 't_b' )] ),
% 0.72/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 93, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'v_c', 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 72, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'v_c', 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 47, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'v_c', 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 , clause( 93, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'v_c', 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 94, [] )
% 0.72/1.10 , clause( 1, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_l'( 'v_x'( X
% 0.72/1.10 ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_k'( 'v_x'( X ),
% 0.72/1.10 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 'c_times'( X, 'c_times'( 'c_HOL_Oabs'(
% 0.72/1.10 'v_l'( 'v_x'( X ), 'v_xa'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_h'( 'v_k'(
% 0.72/1.10 'v_x'( X ), 'v_xa'( X ) ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.72/1.10 , 0, clause( 47, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ),
% 0.72/1.10 'c_HOL_Oabs'( 'v_f'( Y ), 't_b' ), 't_b' ), 'c_times'( 'v_c', 'c_times'(
% 0.72/1.10 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( 'v_h'( Y ), 't_b' ), 't_b' ),
% 0.72/1.10 't_b' ), 't_b' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 'v_c' )] ), substitution( 1, [ :=( X, 'v_l'(
% 0.72/1.10 'v_x'( 'v_c' ), 'v_xa'( 'v_c' ) ) ), :=( Y, 'v_k'( 'v_x'( 'v_c' ), 'v_xa'(
% 0.72/1.10 'v_c' ) ) )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 48, [] )
% 0.72/1.10 , clause( 94, [] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 end.
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 Memory use:
% 0.72/1.10
% 0.72/1.10 space for terms: 1182
% 0.72/1.10 space for clauses: 4338
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 clauses generated: 2326
% 0.72/1.10 clauses kept: 49
% 0.72/1.10 clauses selected: 44
% 0.72/1.10 clauses deleted: 0
% 0.72/1.10 clauses inuse deleted: 0
% 0.72/1.10
% 0.72/1.10 subsentry: 1068
% 0.72/1.10 literals s-matched: 1038
% 0.72/1.10 literals matched: 1038
% 0.72/1.10 full subsumption: 3
% 0.72/1.10
% 0.72/1.10 checksum: -1946060831
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksem ended
%------------------------------------------------------------------------------