TSTP Solution File: ANA031-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA031-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 18:38:33 EDT 2022
% Result : Unsatisfiable 11.00s 11.36s
% Output : Refutation 11.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA031-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.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 : Fri Jul 8 04:13:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 11.00/11.36 *** allocated 10000 integers for termspace/termends
% 11.00/11.36 *** allocated 10000 integers for clauses
% 11.00/11.36 *** allocated 10000 integers for justifications
% 11.00/11.36 Bliksem 1.12
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 Automatic Strategy Selection
% 11.00/11.36
% 11.00/11.36 Clauses:
% 11.00/11.36 [
% 11.00/11.36 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ), 'c_times'( 'v_c',
% 11.00/11.36 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ],
% 11.00/11.36 [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X ) ), 't_b'
% 11.00/11.36 ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 'c_times'( X,
% 11.00/11.36 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 'c_HOL_Oabs'(
% 11.00/11.36 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ],
% 11.00/11.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 11.00/11.36 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 11.00/11.36 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 11.00/11.36 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X ), X ) ) ]
% 11.00/11.36 ,
% 11.00/11.36 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 'c_times'( Y,
% 11.00/11.36 Z, X ), 'c_times'( Z, Y, X ) ) ],
% 11.00/11.36 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 11.00/11.36 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 11.00/11.36 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ],
% 11.00/11.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 11.00/11.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 11.00/11.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 11.00/11.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 11.00/11.36 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ]
% 11.00/11.36 ] .
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 percentage equality = 0.095238, percentage horn = 1.000000
% 11.00/11.36 This is a problem with some equality
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 Options Used:
% 11.00/11.36
% 11.00/11.36 useres = 1
% 11.00/11.36 useparamod = 1
% 11.00/11.36 useeqrefl = 1
% 11.00/11.36 useeqfact = 1
% 11.00/11.36 usefactor = 1
% 11.00/11.36 usesimpsplitting = 0
% 11.00/11.36 usesimpdemod = 5
% 11.00/11.36 usesimpres = 3
% 11.00/11.36
% 11.00/11.36 resimpinuse = 1000
% 11.00/11.36 resimpclauses = 20000
% 11.00/11.36 substype = eqrewr
% 11.00/11.36 backwardsubs = 1
% 11.00/11.36 selectoldest = 5
% 11.00/11.36
% 11.00/11.36 litorderings [0] = split
% 11.00/11.36 litorderings [1] = extend the termordering, first sorting on arguments
% 11.00/11.36
% 11.00/11.36 termordering = kbo
% 11.00/11.36
% 11.00/11.36 litapriori = 0
% 11.00/11.36 termapriori = 1
% 11.00/11.36 litaposteriori = 0
% 11.00/11.36 termaposteriori = 0
% 11.00/11.36 demodaposteriori = 0
% 11.00/11.36 ordereqreflfact = 0
% 11.00/11.36
% 11.00/11.36 litselect = negord
% 11.00/11.36
% 11.00/11.36 maxweight = 15
% 11.00/11.36 maxdepth = 30000
% 11.00/11.36 maxlength = 115
% 11.00/11.36 maxnrvars = 195
% 11.00/11.36 excuselevel = 1
% 11.00/11.36 increasemaxweight = 1
% 11.00/11.36
% 11.00/11.36 maxselected = 10000000
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36
% 11.00/11.36 showgenerated = 0
% 11.00/11.36 showkept = 0
% 11.00/11.36 showselected = 0
% 11.00/11.36 showdeleted = 0
% 11.00/11.36 showresimp = 1
% 11.00/11.36 showstatus = 2000
% 11.00/11.36
% 11.00/11.36 prologoutput = 1
% 11.00/11.36 nrgoals = 5000000
% 11.00/11.36 totalproof = 1
% 11.00/11.36
% 11.00/11.36 Symbols occurring in the translation:
% 11.00/11.36
% 11.00/11.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 11.00/11.36 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 11.00/11.36 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 11.00/11.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.00/11.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.00/11.36 'v_b' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 11.00/11.36 't_b' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 11.00/11.36 'c_HOL_Oabs' [42, 2] (w:1, o:57, a:1, s:1, b:0),
% 11.00/11.36 'v_c' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 11.00/11.36 'v_g' [44, 1] (w:1, o:25, a:1, s:1, b:0),
% 11.00/11.36 'c_times' [45, 3] (w:1, o:58, a:1, s:1, b:0),
% 11.00/11.36 'c_lessequals' [46, 3] (w:1, o:59, a:1, s:1, b:0),
% 11.00/11.36 'v_x' [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 11.00/11.36 'v_f' [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 11.00/11.36 'class_OrderedGroup_Olordered__ab__group__abs' [50, 1] (w:1, o:27, a:
% 11.00/11.36 1, s:1, b:0),
% 11.00/11.36 'c_0' [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 11.00/11.36 'class_OrderedGroup_Osemigroup__mult' [53, 1] (w:1, o:28, a:1, s:1
% 11.00/11.36 , b:0),
% 11.00/11.36 'class_OrderedGroup_Oab__semigroup__mult' [56, 1] (w:1, o:29, a:1, s:
% 11.00/11.36 1, b:0),
% 11.00/11.36 'class_Ring__and__Field_Opordered__semiring' [57, 1] (w:1, o:31, a:1
% 11.00/11.36 , s:1, b:0),
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom' [59, 1] (w:1, o:30, a:1, s:1
% 11.00/11.36 , b:0).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 15
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 1693
% 11.00/11.36 Kept: 39
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 16
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 16
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 2058
% 11.00/11.36 Kept: 51
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 17
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 17
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 3126
% 11.00/11.36 Kept: 55
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 18
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 18
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 4279
% 11.00/11.36 Kept: 74
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 19
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 19
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 4983
% 11.00/11.36 Kept: 79
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 20
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 20
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 5885
% 11.00/11.36 Kept: 88
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 21
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 21
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 15506
% 11.00/11.36 Kept: 103
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 22
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 22
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 16103
% 11.00/11.36 Kept: 111
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 23
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 23
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 33890
% 11.00/11.36 Kept: 150
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 24
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 24
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 67203
% 11.00/11.36 Kept: 232
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 25
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 25
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 114269
% 11.00/11.36 Kept: 293
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 26
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 26
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 247774
% 11.00/11.36 Kept: 550
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 27
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 27
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 696221
% 11.00/11.36 Kept: 698
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 28
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36 Resimplifying inuse:
% 11.00/11.36 Done
% 11.00/11.36
% 11.00/11.36 Failed to find proof!
% 11.00/11.36 maxweight = 28
% 11.00/11.36 maxnrclauses = 10000000
% 11.00/11.36 Generated: 980428
% 11.00/11.36 Kept: 960
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 The strategy used was not complete!
% 11.00/11.36
% 11.00/11.36 Increased maxweight to 29
% 11.00/11.36
% 11.00/11.36 Starting Search:
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 Bliksems!, er is een bewijs:
% 11.00/11.36 % SZS status Unsatisfiable
% 11.00/11.36 % SZS output start Refutation
% 11.00/11.36
% 11.00/11.36 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ), 'c_times'(
% 11.00/11.36 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 1, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X )
% 11.00/11.36 ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 .
% 11.00/11.36 clause( 2, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 11.00/11.36 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 3, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 11.00/11.36 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 11.00/11.36 )
% 11.00/11.36 .
% 11.00/11.36 clause( 4, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 5, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 11.00/11.36 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 11.00/11.36 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 14, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 15, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 17, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, Y ), Y ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 18, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 19, [ =( 'c_times'( X, Y, Z ), 'c_times'( Y, X, Z ) ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 24, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 11.00/11.36 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 32, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X )
% 11.00/11.36 ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 .
% 11.00/11.36 clause( 59, [ ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 11.00/11.36 , X, 't_b' ) ), 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'( X, Z
% 11.00/11.36 , 't_b' ), 't_b' ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 235, [ ~( 'c_lessequals'( Z, Y, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 11.00/11.36 , X, 't_b' ) ), 'c_lessequals'( 'c_times'( Z, X, 't_b' ), 'c_times'( Y, X
% 11.00/11.36 , 't_b' ), 't_b' ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 265, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 11.00/11.36 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 11.00/11.36 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 498, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X ) ), 't_b'
% 11.00/11.36 ), 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 't_b' ) ) ] )
% 11.00/11.36 .
% 11.00/11.36 clause( 499, [] )
% 11.00/11.36 .
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 % SZS output end Refutation
% 11.00/11.36 found a proof!
% 11.00/11.36
% 11.00/11.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 11.00/11.36
% 11.00/11.36 initialclauses(
% 11.00/11.36 [ clause( 501, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ),
% 11.00/11.36 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 11.00/11.36 )
% 11.00/11.36 , clause( 502, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'(
% 11.00/11.36 X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , clause( 503, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 11.00/11.36 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 11.00/11.36 , clause( 504, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 11.00/11.36 ), X ) ) ] )
% 11.00/11.36 , clause( 505, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 11.00/11.36 , clause( 506, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 11.00/11.36 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 11.00/11.36 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 11.00/11.36 , clause( 507, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 11.00/11.36 , clause( 508, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 11.00/11.36 , clause( 509, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 11.00/11.36 , clause( 510, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 11.00/11.36 , clause( 511, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.36 ] ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ), 'c_times'(
% 11.00/11.36 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 11.00/11.36 , clause( 501, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ),
% 11.00/11.36 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 11.00/11.36 )
% 11.00/11.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 1, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X )
% 11.00/11.36 ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , clause( 502, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'(
% 11.00/11.36 X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 2, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 11.00/11.36 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 11.00/11.36 , clause( 503, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 11.00/11.36 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.00/11.36 ), ==>( 1, 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 eqswap(
% 11.00/11.36 clause( 512, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 11.00/11.36 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 11.00/11.36 Z ) ) ] )
% 11.00/11.36 , clause( 504, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 11.00/11.36 ), X ) ) ] )
% 11.00/11.36 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 11.00/11.36 ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 3, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 11.00/11.36 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , clause( 512, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 11.00/11.36 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 11.00/11.36 Z ) ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 11.00/11.36 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 4, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 11.00/11.36 , clause( 505, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.00/11.36 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 5, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 11.00/11.36 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 11.00/11.36 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 11.00/11.36 , clause( 506, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 11.00/11.36 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 11.00/11.36 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 11.00/11.36 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 11.00/11.36 ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 11.00/11.36 , clause( 507, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 11.00/11.36 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 11.00/11.36 , clause( 508, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 11.00/11.36 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 11.00/11.36 , clause( 509, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 11.00/11.36 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 11.00/11.36 , clause( 510, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 11.00/11.36 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.36 , clause( 511, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 526, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 11.00/11.36 , clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 11.00/11.36 , 0, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.36 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 11.00/11.36 , clause( 526, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 11.00/11.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 527, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 11.00/11.36 , clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 11.00/11.36 , 0, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.36 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 14, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 11.00/11.36 , clause( 527, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 11.00/11.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 528, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 11.00/11.36 , clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 11.00/11.36 , 0, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.36 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 15, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 11.00/11.36 , clause( 528, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 11.00/11.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 529, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 11.00/11.36 , clause( 2, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 11.00/11.36 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 11.00/11.36 , 0, clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 11.00/11.36 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 11.00/11.36 , X )] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 17, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, Y ), Y ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 11.00/11.36 , clause( 529, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 11.00/11.36 ), ==>( 1, 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 530, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 11.00/11.36 , clause( 4, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 11.00/11.36 , 0, clause( 15, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 11.00/11.36 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y )] ),
% 11.00/11.36 substitution( 1, [] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 18, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 11.00/11.36 , clause( 530, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.00/11.36 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 531, [ =( 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 11.00/11.36 , clause( 4, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 11.00/11.36 , 0, clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 11.00/11.36 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 11.00/11.36 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.00/11.36 substitution( 1, [ :=( X, X )] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 19, [ =( 'c_times'( X, Y, Z ), 'c_times'( Y, X, Z ) ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 11.00/11.36 , clause( 531, [ =( 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 11.00/11.36 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 eqswap(
% 11.00/11.36 clause( 532, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 11.00/11.36 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 11.00/11.36 ) ) ] )
% 11.00/11.36 , clause( 3, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 11.00/11.36 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X )
% 11.00/11.36 , T, X ) ) ] )
% 11.00/11.36 , 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 11.00/11.36 ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 533, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 11.00/11.36 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ) ) ] )
% 11.00/11.36 , clause( 532, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 11.00/11.36 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 11.00/11.36 ) ) ] )
% 11.00/11.36 , 1, clause( 14, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 11.00/11.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 't_b' )] )
% 11.00/11.36 , substitution( 1, [] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 eqswap(
% 11.00/11.36 clause( 534, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 11.00/11.36 , clause( 533, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 11.00/11.36 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ) ) ] )
% 11.00/11.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 24, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 11.00/11.36 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 11.00/11.36 , clause( 534, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.00/11.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 paramod(
% 11.00/11.36 clause( 538, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X
% 11.00/11.36 ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , clause( 18, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , 0, clause( 1, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'(
% 11.00/11.36 X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , 0, 16, substitution( 0, [ :=( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b'
% 11.00/11.36 ) ), :=( Y, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ) )] ),
% 11.00/11.36 substitution( 1, [ :=( X, X )] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 paramod(
% 11.00/11.36 clause( 544, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X
% 11.00/11.36 ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , clause( 24, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 11.00/11.36 , 0, clause( 538, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'(
% 11.00/11.36 'v_x'( X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b'
% 11.00/11.36 ), 'c_times'( X, 'c_times'( 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, 'c_HOL_Oabs'( 'v_g'( 'v_x'(
% 11.00/11.36 X ) ), 't_b' ) ), :=( Z, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ) )] )
% 11.00/11.36 , substitution( 1, [ :=( X, X )] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 32, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X )
% 11.00/11.36 ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , clause( 544, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'(
% 11.00/11.36 X ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.36 'c_times'( 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.36 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 paramod(
% 11.00/11.36 clause( 545, [ 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'( X, Z,
% 11.00/11.36 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b'
% 11.00/11.36 ) ), ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0', X,
% 11.00/11.36 't_b' ) ) ] )
% 11.00/11.36 , clause( 18, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ]
% 11.00/11.36 )
% 11.00/11.36 , 0, clause( 5, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 11.00/11.36 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 11.00/11.36 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 11.00/11.36 , 3, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 11.00/11.36 :=( X, 't_b' ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 559, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, Z,
% 11.00/11.36 't_b' ), 't_b' ), ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'(
% 11.00/11.36 'c_0', Y, 't_b' ) ) ] )
% 11.00/11.36 , clause( 545, [ 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'( X, Z
% 11.00/11.36 , 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Opordered__semiring'(
% 11.00/11.36 't_b' ) ), ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0',
% 11.00/11.36 X, 't_b' ) ) ] )
% 11.00/11.36 , 1, clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ]
% 11.00/11.36 )
% 11.00/11.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 11.00/11.36 substitution( 1, [] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 59, [ ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 11.00/11.36 , X, 't_b' ) ), 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'( X, Z
% 11.00/11.36 , 't_b' ), 't_b' ) ] )
% 11.00/11.36 , clause( 559, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, Z
% 11.00/11.36 , 't_b' ), 't_b' ), ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'(
% 11.00/11.36 'c_0', Y, 't_b' ) ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 11.00/11.36 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 paramod(
% 11.00/11.36 clause( 562, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Z, Y,
% 11.00/11.36 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ),
% 11.00/11.36 ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0', Y, 't_b' )
% 11.00/11.36 ) ] )
% 11.00/11.36 , clause( 19, [ =( 'c_times'( X, Y, Z ), 'c_times'( Y, X, Z ) ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 11.00/11.36 , 0, clause( 59, [ ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'(
% 11.00/11.36 'c_0', X, 't_b' ) ), 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'(
% 11.00/11.36 X, Z, 't_b' ), 't_b' ) ] )
% 11.00/11.36 , 2, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, 't_b' )] ),
% 11.00/11.36 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 625, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Z, Y,
% 11.00/11.36 't_b' ), 't_b' ), ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'(
% 11.00/11.36 'c_0', Y, 't_b' ) ) ] )
% 11.00/11.36 , clause( 562, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Z, Y
% 11.00/11.36 , 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) )
% 11.00/11.36 , ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0', Y, 't_b'
% 11.00/11.36 ) ) ] )
% 11.00/11.36 , 1, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.00/11.36 substitution( 1, [] )).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 subsumption(
% 11.00/11.36 clause( 235, [ ~( 'c_lessequals'( Z, Y, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 11.00/11.36 , X, 't_b' ) ), 'c_lessequals'( 'c_times'( Z, X, 't_b' ), 'c_times'( Y, X
% 11.00/11.36 , 't_b' ), 't_b' ) ] )
% 11.00/11.36 , clause( 625, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Z, Y
% 11.00/11.36 , 't_b' ), 't_b' ), ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'(
% 11.00/11.36 'c_0', Y, 't_b' ) ) ] )
% 11.00/11.36 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 11.00/11.36 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 11.00/11.36
% 11.00/11.36
% 11.00/11.36 resolution(
% 11.00/11.36 clause( 628, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 11.00/11.36 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 11.00/11.36 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ), ~(
% 11.00/11.36 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 11.00/11.37 , clause( 235, [ ~( 'c_lessequals'( Z, Y, 't_b' ) ), ~( 'c_lessequals'(
% 11.00/11.37 'c_0', X, 't_b' ) ), 'c_lessequals'( 'c_times'( Z, X, 't_b' ), 'c_times'(
% 11.00/11.37 Y, X, 't_b' ), 't_b' ) ] )
% 11.00/11.37 , 1, clause( 17, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, Y ), Y ), ~(
% 11.00/11.37 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 11.00/11.37 , 0, substitution( 0, [ :=( X, 'c_HOL_Oabs'( Z, 't_b' ) ), :=( Y, Y ), :=(
% 11.00/11.37 Z, X )] ), substitution( 1, [ :=( X, Z ), :=( Y, 't_b' )] )).
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 resolution(
% 11.00/11.37 clause( 630, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 11.00/11.37 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 11.00/11.37 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 11.00/11.37 , clause( 628, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 11.00/11.37 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 11.00/11.37 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ), ~(
% 11.00/11.37 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 11.00/11.37 , 2, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 11.00/11.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.00/11.37 substitution( 1, [] )).
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 subsumption(
% 11.00/11.37 clause( 265, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 11.00/11.37 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 11.00/11.37 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 11.00/11.37 , clause( 630, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 11.00/11.37 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 11.00/11.37 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 11.00/11.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.00/11.37 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 resolution(
% 11.00/11.37 clause( 631, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X ) ), 't_b'
% 11.00/11.37 ), 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.37 't_b' ) ) ] )
% 11.00/11.37 , clause( 32, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X
% 11.00/11.37 ) ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.37 'c_times'( 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ),
% 11.00/11.37 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ]
% 11.00/11.37 )
% 11.00/11.37 , 0, clause( 265, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 11.00/11.37 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 11.00/11.37 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 11.00/11.37 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 11.00/11.37 'c_HOL_Oabs'( 'v_b'( 'v_x'( X ) ), 't_b' ) ), :=( Y, 'c_times'( X,
% 11.00/11.37 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ) ), :=( Z, 'v_f'(
% 11.00/11.37 'v_x'( X ) ) )] )).
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 subsumption(
% 11.00/11.37 clause( 498, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X ) ), 't_b'
% 11.00/11.37 ), 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 11.00/11.37 't_b' ) ) ] )
% 11.00/11.37 , clause( 631, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X ) ),
% 11.00/11.37 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b'
% 11.00/11.37 ), 't_b' ) ) ] )
% 11.00/11.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 resolution(
% 11.00/11.37 clause( 632, [] )
% 11.00/11.37 , clause( 498, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x'( X ) ),
% 11.00/11.37 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b'
% 11.00/11.37 ), 't_b' ) ) ] )
% 11.00/11.37 , 0, clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( X ), 't_b' ),
% 11.00/11.37 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 11.00/11.37 )
% 11.00/11.37 , 0, substitution( 0, [ :=( X, 'v_c' )] ), substitution( 1, [ :=( X, 'v_x'(
% 11.00/11.37 'v_c' ) )] )).
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 subsumption(
% 11.00/11.37 clause( 499, [] )
% 11.00/11.37 , clause( 632, [] )
% 11.00/11.37 , substitution( 0, [] ), permutation( 0, [] ) ).
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 end.
% 11.00/11.37
% 11.00/11.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 11.00/11.37
% 11.00/11.37 Memory use:
% 11.00/11.37
% 11.00/11.37 space for terms: 13086
% 11.00/11.37 space for clauses: 44258
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 clauses generated: 3621
% 11.00/11.37 clauses kept: 500
% 11.00/11.37 clauses selected: 70
% 11.00/11.37 clauses deleted: 2
% 11.00/11.37 clauses inuse deleted: 0
% 11.00/11.37
% 11.00/11.37 subsentry: 7501
% 11.00/11.37 literals s-matched: 4848
% 11.00/11.37 literals matched: 4439
% 11.00/11.37 full subsumption: 227
% 11.00/11.37
% 11.00/11.37 checksum: 239861348
% 11.00/11.37
% 11.00/11.37
% 11.00/11.37 Bliksem ended
%------------------------------------------------------------------------------