%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA032-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 18:38:34 EDT 2022
% Result : Unsatisfiable 1.42s 1.78s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ANA032-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Fri Jul 8 04:52:45 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.42/1.78 *** allocated 10000 integers for termspace/termends
% 1.42/1.78 *** allocated 10000 integers for clauses
% 1.42/1.78 *** allocated 10000 integers for justifications
% 1.42/1.78 Bliksem 1.12
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 Automatic Strategy Selection
% 1.42/1.78
% 1.42/1.78 Clauses:
% 1.42/1.78 [
% 1.42/1.78 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.42/1.78 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.42/1.78 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 1.42/1.78 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X ), X ) ) ]
% 1.42/1.78 ,
% 1.42/1.78 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 'c_times'( Y,
% 1.42/1.78 Z, X ), 'c_times'( Z, Y, X ) ) ],
% 1.42/1.78 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 1.42/1.78 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 1.42/1.78 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ],
% 1.42/1.78 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ), 'c_times'(
% 1.42/1.78 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ],
% 1.42/1.78 [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ),
% 1.42/1.78 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'( 'v_c',
% 1.42/1.78 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 'c_HOL_Oabs'( 'v_g'(
% 1.42/1.78 'v_x' ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ],
% 1.42/1.78 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.42/1.78 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.42/1.78 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.42/1.78 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.42/1.78 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ]
% 1.42/1.78 ] .
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 percentage equality = 0.095238, percentage horn = 1.000000
% 1.42/1.78 This is a problem with some equality
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 Options Used:
% 1.42/1.78
% 1.42/1.78 useres = 1
% 1.42/1.78 useparamod = 1
% 1.42/1.78 useeqrefl = 1
% 1.42/1.78 useeqfact = 1
% 1.42/1.78 usefactor = 1
% 1.42/1.78 usesimpsplitting = 0
% 1.42/1.78 usesimpdemod = 5
% 1.42/1.78 usesimpres = 3
% 1.42/1.78
% 1.42/1.78 resimpinuse = 1000
% 1.42/1.78 resimpclauses = 20000
% 1.42/1.78 substype = eqrewr
% 1.42/1.78 backwardsubs = 1
% 1.42/1.78 selectoldest = 5
% 1.42/1.78
% 1.42/1.78 litorderings [0] = split
% 1.42/1.78 litorderings [1] = extend the termordering, first sorting on arguments
% 1.42/1.78
% 1.42/1.78 termordering = kbo
% 1.42/1.78
% 1.42/1.78 litapriori = 0
% 1.42/1.78 termapriori = 1
% 1.42/1.78 litaposteriori = 0
% 1.42/1.78 termaposteriori = 0
% 1.42/1.78 demodaposteriori = 0
% 1.42/1.78 ordereqreflfact = 0
% 1.42/1.78
% 1.42/1.78 litselect = negord
% 1.42/1.78
% 1.42/1.78 maxweight = 15
% 1.42/1.78 maxdepth = 30000
% 1.42/1.78 maxlength = 115
% 1.42/1.78 maxnrvars = 195
% 1.42/1.78 excuselevel = 1
% 1.42/1.78 increasemaxweight = 1
% 1.42/1.78
% 1.42/1.78 maxselected = 10000000
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78
% 1.42/1.78 showgenerated = 0
% 1.42/1.78 showkept = 0
% 1.42/1.78 showselected = 0
% 1.42/1.78 showdeleted = 0
% 1.42/1.78 showresimp = 1
% 1.42/1.78 showstatus = 2000
% 1.42/1.78
% 1.42/1.78 prologoutput = 1
% 1.42/1.78 nrgoals = 5000000
% 1.42/1.78 totalproof = 1
% 1.42/1.78
% 1.42/1.78 Symbols occurring in the translation:
% 1.42/1.78
% 1.42/1.78 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.42/1.78 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 1.42/1.78 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.42/1.78 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.42/1.78 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.42/1.78 'class_OrderedGroup_Olordered__ab__group__abs' [40, 1] (w:1, o:23, a:
% 1.42/1.78 1, s:1, b:0),
% 1.42/1.78 'c_0' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.42/1.78 'c_HOL_Oabs' [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 1.42/1.78 'c_lessequals' [44, 3] (w:1, o:57, a:1, s:1, b:0),
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult' [45, 1] (w:1, o:24, a:1, s:1
% 1.42/1.78 , b:0),
% 1.42/1.78 'c_times' [47, 3] (w:1, o:58, a:1, s:1, b:0),
% 1.42/1.78 'class_OrderedGroup_Oab__semigroup__mult' [49, 1] (w:1, o:25, a:1, s:
% 1.42/1.78 1, b:0),
% 1.42/1.78 'class_Ring__and__Field_Opordered__semiring' [50, 1] (w:1, o:27, a:1
% 1.42/1.78 , s:1, b:0),
% 1.42/1.78 'v_x' [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.42/1.78 'v_b' [52, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.42/1.78 't_b' [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.42/1.78 'v_c' [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.42/1.78 'v_g' [55, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.42/1.78 'v_f' [56, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom' [58, 1] (w:1, o:26, a:1, s:1
% 1.42/1.78 , b:0).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 15
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 1660
% 1.42/1.78 Kept: 39
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 16
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 16
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 2025
% 1.42/1.78 Kept: 51
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 17
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 17
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 3085
% 1.42/1.78 Kept: 55
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 18
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 18
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 4238
% 1.42/1.78 Kept: 74
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 19
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 19
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 4938
% 1.42/1.78 Kept: 78
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 20
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 20
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 5840
% 1.42/1.78 Kept: 87
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 21
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 21
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 15320
% 1.42/1.78 Kept: 102
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 22
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 22
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 15914
% 1.42/1.78 Kept: 110
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 23
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 23
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 33671
% 1.42/1.78 Kept: 149
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 24
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78 Resimplifying inuse:
% 1.42/1.78 Done
% 1.42/1.78
% 1.42/1.78 Failed to find proof!
% 1.42/1.78 maxweight = 24
% 1.42/1.78 maxnrclauses = 10000000
% 1.42/1.78 Generated: 66938
% 1.42/1.78 Kept: 231
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 The strategy used was not complete!
% 1.42/1.78
% 1.42/1.78 Increased maxweight to 25
% 1.42/1.78
% 1.42/1.78 Starting Search:
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 Bliksems!, er is een bewijs:
% 1.42/1.78 % SZS status Unsatisfiable
% 1.42/1.78 % SZS output start Refutation
% 1.42/1.78
% 1.42/1.78 clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.42/1.78 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 1, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 1.42/1.78 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 1.42/1.78 )
% 1.42/1.78 .
% 1.42/1.78 clause( 2, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 3, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 1.42/1.78 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 1.42/1.78 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 4, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ),
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' )
% 1.42/1.78 ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 5, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'( 'v_c'
% 1.42/1.78 , 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 'c_HOL_Oabs'( 'v_g'(
% 1.42/1.78 'v_x' ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 15, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, Y ), Y ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 16, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 17, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 18, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 20, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 21, [ =( 'c_times'( X, Y, Z ), 'c_times'( Y, X, Z ) ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 25, [ =( 'c_times'( 'c_times'( Z, Y, 't_b' ), X, 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( Z, X, 't_b' ), Y, 't_b' ) ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 35, [ ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 1.42/1.78 , X, 't_b' ) ), 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'( X, Z
% 1.42/1.78 , 't_b' ), 't_b' ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 56, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ),
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 153, [ ~( 'c_lessequals'( Z, Y, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 1.42/1.78 , X, 't_b' ) ), 'c_lessequals'( 'c_times'( Z, X, 't_b' ), 'c_times'( Y, X
% 1.42/1.78 , 't_b' ), 't_b' ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 162, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 1.42/1.78 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 1.42/1.78 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 202, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( X, 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c',
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'c_HOL_Oabs'( X, 't_b' )
% 1.42/1.78 , 't_b' ), 't_b' ) ] )
% 1.42/1.78 .
% 1.42/1.78 clause( 254, [] )
% 1.42/1.78 .
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 % SZS output end Refutation
% 1.42/1.78 found a proof!
% 1.42/1.78
% 1.42/1.78 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.42/1.78
% 1.42/1.78 initialclauses(
% 1.42/1.78 [ clause( 256, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.42/1.78 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 1.42/1.78 , clause( 257, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 1.42/1.78 ), X ) ) ] )
% 1.42/1.78 , clause( 258, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 1.42/1.78 , clause( 259, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.42/1.78 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 1.42/1.78 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 1.42/1.78 , clause( 260, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ),
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' )
% 1.42/1.78 ] )
% 1.42/1.78 , clause( 261, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' )
% 1.42/1.78 , 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'v_c', 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 'c_HOL_Oabs'(
% 1.42/1.78 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , clause( 262, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.42/1.78 , clause( 263, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.42/1.78 , clause( 264, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.42/1.78 , clause( 265, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.42/1.78 , clause( 266, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 ] ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.42/1.78 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 1.42/1.78 , clause( 256, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.42/1.78 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.42/1.78 ), ==>( 1, 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 eqswap(
% 1.42/1.78 clause( 267, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 1.42/1.78 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 1.42/1.78 Z ) ) ] )
% 1.42/1.78 , clause( 257, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 1.42/1.78 ), X ) ) ] )
% 1.42/1.78 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 1.42/1.78 ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 1, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 1.42/1.78 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 1.42/1.78 )
% 1.42/1.78 , clause( 267, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 1.42/1.78 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 1.42/1.78 Z ) ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 2, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 1.42/1.78 , clause( 258, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 3, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 1.42/1.78 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 1.42/1.78 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 1.42/1.78 , clause( 259, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.42/1.78 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 1.42/1.78 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 1.42/1.78 ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 4, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ),
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' )
% 1.42/1.78 ] )
% 1.42/1.78 , clause( 260, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ),
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' )
% 1.42/1.78 ] )
% 1.42/1.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 5, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'( 'v_c'
% 1.42/1.78 , 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 'c_HOL_Oabs'( 'v_g'(
% 1.42/1.78 'v_x' ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , clause( 261, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' )
% 1.42/1.78 , 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'v_c', 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 'c_HOL_Oabs'(
% 1.42/1.78 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.42/1.78 , clause( 262, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.42/1.78 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.42/1.78 , clause( 263, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.42/1.78 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.42/1.78 , clause( 264, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.42/1.78 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.42/1.78 , clause( 265, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.42/1.78 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 , clause( 266, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 285, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 1.42/1.78 , clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.42/1.78 , 0, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 1.42/1.78 , clause( 285, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 1.42/1.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 286, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.42/1.78 , clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.42/1.78 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 1.42/1.78 , 0, clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.42/1.78 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 1.42/1.78 , X )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 15, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, Y ), Y ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 1.42/1.78 , clause( 286, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.42/1.78 ), ==>( 1, 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 287, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.42/1.78 , 0, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 16, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , clause( 287, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 288, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.42/1.78 , 0, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 17, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , clause( 288, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 eqswap(
% 1.42/1.78 clause( 289, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 1.42/1.78 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 1.42/1.78 ) ) ] )
% 1.42/1.78 , clause( 1, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X )
% 1.42/1.78 , T, X ) ) ] )
% 1.42/1.78 , 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 1.42/1.78 ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 290, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , clause( 289, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 1.42/1.78 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 1.42/1.78 ) ) ] )
% 1.42/1.78 , 1, clause( 16, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 't_b' )] )
% 1.42/1.78 , substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 eqswap(
% 1.42/1.78 clause( 291, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 1.42/1.78 , clause( 290, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 18, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 1.42/1.78 , clause( 291, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 292, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 1.42/1.78 , clause( 2, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 1.42/1.78 , 0, clause( 17, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y )] ),
% 1.42/1.78 substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 20, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 1.42/1.78 , clause( 292, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ]
% 1.42/1.78 )
% 1.42/1.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.42/1.78 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 293, [ =( 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.42/1.78 , clause( 2, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 1.42/1.78 , 0, clause( 6, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.42/1.78 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.42/1.78 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.42/1.78 substitution( 1, [ :=( X, X )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 21, [ =( 'c_times'( X, Y, Z ), 'c_times'( Y, X, Z ) ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 1.42/1.78 , clause( 293, [ =( 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 eqswap(
% 1.42/1.78 clause( 294, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 1.42/1.78 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 1.42/1.78 ) ) ] )
% 1.42/1.78 , clause( 1, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X )
% 1.42/1.78 , T, X ) ) ] )
% 1.42/1.78 , 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 1.42/1.78 ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 paramod(
% 1.42/1.78 clause( 299, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( X, 'c_times'( Z, Y, 't_b' ), 't_b' ) ), ~(
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ) ] )
% 1.42/1.78 , clause( 20, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ]
% 1.42/1.78 )
% 1.42/1.78 , 0, clause( 294, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'(
% 1.42/1.78 X, 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 1.42/1.78 T ) ) ] )
% 1.42/1.78 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.42/1.78 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 't_b' )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 paramod(
% 1.42/1.78 clause( 312, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Z, 't_b' ), Y, 't_b' ) ), ~(
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ), ~(
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ) ] )
% 1.42/1.78 , clause( 1, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 1.42/1.78 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X )
% 1.42/1.78 , T, X ) ) ] )
% 1.42/1.78 , 1, clause( 299, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( X, 'c_times'( Z, Y, 't_b' ), 't_b' ) ), ~(
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ) ] )
% 1.42/1.78 , 0, 8, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Z ), :=( T, Y
% 1.42/1.78 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 factor(
% 1.42/1.78 clause( 313, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Z, 't_b' ), Y, 't_b' ) ), ~(
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ) ] )
% 1.42/1.78 , clause( 312, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Z, 't_b' ), Y, 't_b' ) ), ~(
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ), ~(
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ) ] )
% 1.42/1.78 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 314, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Z, 't_b' ), Y, 't_b' ) ) ] )
% 1.42/1.78 , clause( 313, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Z, 't_b' ), Y, 't_b' ) ), ~(
% 1.42/1.78 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ) ] )
% 1.42/1.78 , 1, clause( 16, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.42/1.78 substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 25, [ =( 'c_times'( 'c_times'( Z, Y, 't_b' ), X, 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( Z, X, 't_b' ), Y, 't_b' ) ) ] )
% 1.42/1.78 , clause( 314, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Z, 't_b' ), Y, 't_b' ) ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 paramod(
% 1.42/1.78 clause( 315, [ 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'( X, Z,
% 1.42/1.78 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b'
% 1.42/1.78 ) ), ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0', X,
% 1.42/1.78 't_b' ) ) ] )
% 1.42/1.78 , clause( 20, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ]
% 1.42/1.78 )
% 1.42/1.78 , 0, clause( 3, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.42/1.78 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 1.42/1.78 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 1.42/1.78 , 3, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.42/1.78 :=( X, 't_b' ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 329, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, Z,
% 1.42/1.78 't_b' ), 't_b' ), ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'(
% 1.42/1.78 'c_0', Y, 't_b' ) ) ] )
% 1.42/1.78 , clause( 315, [ 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'( X, Z
% 1.42/1.78 , 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Opordered__semiring'(
% 1.42/1.78 't_b' ) ), ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0',
% 1.42/1.78 X, 't_b' ) ) ] )
% 1.42/1.78 , 1, clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ]
% 1.42/1.78 )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.42/1.78 substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 35, [ ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 1.42/1.78 , X, 't_b' ) ), 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'( X, Z
% 1.42/1.78 , 't_b' ), 't_b' ) ] )
% 1.42/1.78 , clause( 329, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, Z
% 1.42/1.78 , 't_b' ), 't_b' ), ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'(
% 1.42/1.78 'c_0', Y, 't_b' ) ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 paramod(
% 1.42/1.78 clause( 332, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ),
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , clause( 18, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 1.42/1.78 , 0, clause( 5, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'
% 1.42/1.78 ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'v_c', 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 'c_HOL_Oabs'(
% 1.42/1.78 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , 0, 12, substitution( 0, [ :=( X, 'v_c' ), :=( Y, 'c_HOL_Oabs'( 'v_f'(
% 1.42/1.78 'v_x' ), 't_b' ) ), :=( Z, 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ) )] ),
% 1.42/1.78 substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 56, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ),
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , clause( 332, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' )
% 1.42/1.78 , 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ),
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 paramod(
% 1.42/1.78 clause( 334, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Z, Y,
% 1.42/1.78 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ),
% 1.42/1.78 ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0', Y, 't_b' )
% 1.42/1.78 ) ] )
% 1.42/1.78 , clause( 21, [ =( 'c_times'( X, Y, Z ), 'c_times'( Y, X, Z ) ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 1.42/1.78 , 0, clause( 35, [ ~( 'c_lessequals'( Y, Z, 't_b' ) ), ~( 'c_lessequals'(
% 1.42/1.78 'c_0', X, 't_b' ) ), 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'(
% 1.42/1.78 X, Z, 't_b' ), 't_b' ) ] )
% 1.42/1.78 , 2, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, 't_b' )] ),
% 1.42/1.78 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 397, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Z, Y,
% 1.42/1.78 't_b' ), 't_b' ), ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'(
% 1.42/1.78 'c_0', Y, 't_b' ) ) ] )
% 1.42/1.78 , clause( 334, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Z, Y
% 1.42/1.78 , 't_b' ), 't_b' ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) )
% 1.42/1.78 , ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'( 'c_0', Y, 't_b'
% 1.42/1.78 ) ) ] )
% 1.42/1.78 , 1, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.42/1.78 substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 153, [ ~( 'c_lessequals'( Z, Y, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 1.42/1.78 , X, 't_b' ) ), 'c_lessequals'( 'c_times'( Z, X, 't_b' ), 'c_times'( Y, X
% 1.42/1.78 , 't_b' ), 't_b' ) ] )
% 1.42/1.78 , clause( 397, [ 'c_lessequals'( 'c_times'( X, Y, 't_b' ), 'c_times'( Z, Y
% 1.42/1.78 , 't_b' ), 't_b' ), ~( 'c_lessequals'( X, Z, 't_b' ) ), ~( 'c_lessequals'(
% 1.42/1.78 'c_0', Y, 't_b' ) ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 400, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 1.42/1.78 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 1.42/1.78 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 1.42/1.78 , clause( 153, [ ~( 'c_lessequals'( Z, Y, 't_b' ) ), ~( 'c_lessequals'(
% 1.42/1.78 'c_0', X, 't_b' ) ), 'c_lessequals'( 'c_times'( Z, X, 't_b' ), 'c_times'(
% 1.42/1.78 Y, X, 't_b' ), 't_b' ) ] )
% 1.42/1.78 , 1, clause( 15, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, Y ), Y ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, 'c_HOL_Oabs'( Z, 't_b' ) ), :=( Y, Y ), :=(
% 1.42/1.78 Z, X )] ), substitution( 1, [ :=( X, Z ), :=( Y, 't_b' )] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 402, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 1.42/1.78 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 1.42/1.78 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 1.42/1.78 , clause( 400, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 1.42/1.78 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 1.42/1.78 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ), ~(
% 1.42/1.78 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 1.42/1.78 , 2, clause( 10, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.42/1.78 substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 162, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 1.42/1.78 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 1.42/1.78 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 1.42/1.78 , clause( 402, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 1.42/1.78 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 1.42/1.78 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.42/1.78 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 403, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( X, 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c',
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'c_HOL_Oabs'( X, 't_b' )
% 1.42/1.78 , 't_b' ), 't_b' ) ] )
% 1.42/1.78 , clause( 162, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 1.42/1.78 'c_times'( X, 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 'c_times'( Y,
% 1.42/1.78 'c_HOL_Oabs'( Z, 't_b' ), 't_b' ), 't_b' ) ] )
% 1.42/1.78 , 0, clause( 4, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ),
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' )
% 1.42/1.78 ] )
% 1.42/1.78 , 0, substitution( 0, [ :=( X, 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ) ),
% 1.42/1.78 :=( Y, 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ) )
% 1.42/1.78 , :=( Z, X )] ), substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 202, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( X, 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c',
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'c_HOL_Oabs'( X, 't_b' )
% 1.42/1.78 , 't_b' ), 't_b' ) ] )
% 1.42/1.78 , clause( 403, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( X, 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c',
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'c_HOL_Oabs'( X, 't_b' )
% 1.42/1.78 , 't_b' ), 't_b' ) ] )
% 1.42/1.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 paramod(
% 1.42/1.78 clause( 404, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ),
% 1.42/1.78 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ),
% 1.42/1.78 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , clause( 25, [ =( 'c_times'( 'c_times'( Z, Y, 't_b' ), X, 't_b' ),
% 1.42/1.78 'c_times'( 'c_times'( Z, X, 't_b' ), Y, 't_b' ) ) ] )
% 1.42/1.78 , 0, clause( 56, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x'
% 1.42/1.78 ), 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ),
% 1.42/1.78 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , 0, 12, substitution( 0, [ :=( X, 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ) )
% 1.42/1.78 , :=( Y, 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ) ), :=( Z, 'v_c' )] ),
% 1.42/1.78 substitution( 1, [] )).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 resolution(
% 1.42/1.78 clause( 406, [] )
% 1.42/1.78 , clause( 404, [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' )
% 1.42/1.78 , 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'(
% 1.42/1.78 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ),
% 1.42/1.78 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 1.42/1.78 , 0, clause( 202, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' )
% 1.42/1.78 , 't_b' ), 'c_HOL_Oabs'( X, 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c'
% 1.42/1.78 , 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'c_HOL_Oabs'( X, 't_b'
% 1.42/1.78 ), 't_b' ), 't_b' ) ] )
% 1.42/1.78 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_f'( 'v_x' ) )] )
% 1.42/1.78 ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 subsumption(
% 1.42/1.78 clause( 254, [] )
% 1.42/1.78 , clause( 406, [] )
% 1.42/1.78 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 end.
% 1.42/1.78
% 1.42/1.78 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.42/1.78
% 1.42/1.78 Memory use:
% 1.42/1.78
% 1.42/1.78 space for terms: 5961
% 1.42/1.78 space for clauses: 21133
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 clauses generated: 17290
% 1.42/1.78 clauses kept: 255
% 1.42/1.78 clauses selected: 109
% 1.42/1.78 clauses deleted: 7
% 1.42/1.78 clauses inuse deleted: 0
% 1.42/1.78
% 1.42/1.78 subsentry: 11208
% 1.42/1.78 literals s-matched: 9027
% 1.42/1.78 literals matched: 8545
% 1.42/1.78 full subsumption: 153
% 1.42/1.78
% 1.42/1.78 checksum: -1839948647
% 1.42/1.78
% 1.42/1.78
% 1.42/1.78 Bliksem ended
%------------------------------------------------------------------------------