%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA035-2 : 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 18:38:38 EDT 2022
% Result : Unsatisfiable 7.04s 7.44s
% Output : Refutation 7.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA035-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Fri Jul 8 05:16:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 7.04/7.44 *** allocated 10000 integers for termspace/termends
% 7.04/7.44 *** allocated 10000 integers for clauses
% 7.04/7.44 *** allocated 10000 integers for justifications
% 7.04/7.44 Bliksem 1.12
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 Automatic Strategy Selection
% 7.04/7.44
% 7.04/7.44 Clauses:
% 7.04/7.44 [
% 7.04/7.44 [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ), 'c_HOL_Oabs'(
% 7.04/7.44 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b'
% 7.04/7.44 ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ),
% 7.04/7.44 't_b' ) ) ) ],
% 7.04/7.44 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 7.04/7.44 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 'c_times'( Y,
% 7.04/7.44 Z, X ), 'c_times'( Z, Y, X ) ) ],
% 7.04/7.44 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 'c_times'( Y,
% 7.04/7.44 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X ), X ) ) ]
% 7.04/7.44 ,
% 7.04/7.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 7.04/7.44 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'(
% 7.04/7.44 Z, X ), X ) ) ],
% 7.04/7.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ]
% 7.04/7.44 ] .
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 percentage equality = 0.400000, percentage horn = 1.000000
% 7.04/7.44 This is a problem with some equality
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 Options Used:
% 7.04/7.44
% 7.04/7.44 useres = 1
% 7.04/7.44 useparamod = 1
% 7.04/7.44 useeqrefl = 1
% 7.04/7.44 useeqfact = 1
% 7.04/7.44 usefactor = 1
% 7.04/7.44 usesimpsplitting = 0
% 7.04/7.44 usesimpdemod = 5
% 7.04/7.44 usesimpres = 3
% 7.04/7.44
% 7.04/7.44 resimpinuse = 1000
% 7.04/7.44 resimpclauses = 20000
% 7.04/7.44 substype = eqrewr
% 7.04/7.44 backwardsubs = 1
% 7.04/7.44 selectoldest = 5
% 7.04/7.44
% 7.04/7.44 litorderings [0] = split
% 7.04/7.44 litorderings [1] = extend the termordering, first sorting on arguments
% 7.04/7.44
% 7.04/7.44 termordering = kbo
% 7.04/7.44
% 7.04/7.44 litapriori = 0
% 7.04/7.44 termapriori = 1
% 7.04/7.44 litaposteriori = 0
% 7.04/7.44 termaposteriori = 0
% 7.04/7.44 demodaposteriori = 0
% 7.04/7.44 ordereqreflfact = 0
% 7.04/7.44
% 7.04/7.44 litselect = negord
% 7.04/7.44
% 7.04/7.44 maxweight = 15
% 7.04/7.44 maxdepth = 30000
% 7.04/7.44 maxlength = 115
% 7.04/7.44 maxnrvars = 195
% 7.04/7.44 excuselevel = 1
% 7.04/7.44 increasemaxweight = 1
% 7.04/7.44
% 7.04/7.44 maxselected = 10000000
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44
% 7.04/7.44 showgenerated = 0
% 7.04/7.44 showkept = 0
% 7.04/7.44 showselected = 0
% 7.04/7.44 showdeleted = 0
% 7.04/7.44 showresimp = 1
% 7.04/7.44 showstatus = 2000
% 7.04/7.44
% 7.04/7.44 prologoutput = 1
% 7.04/7.44 nrgoals = 5000000
% 7.04/7.44 totalproof = 1
% 7.04/7.44
% 7.04/7.44 Symbols occurring in the translation:
% 7.04/7.44
% 7.04/7.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.04/7.44 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 7.04/7.44 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 7.04/7.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.04/7.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.04/7.44 'v_c' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 7.04/7.44 'v_ca' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 7.04/7.44 't_b' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 7.04/7.44 'c_times' [42, 3] (w:1, o:53, a:1, s:1, b:0),
% 7.04/7.44 'v_x' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 7.04/7.44 'v_f' [44, 1] (w:1, o:23, a:1, s:1, b:0),
% 7.04/7.44 'v_g' [45, 1] (w:1, o:24, a:1, s:1, b:0),
% 7.04/7.44 'c_HOL_Oabs' [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 7.04/7.44 'class_Ring__and__Field_Oordered__idom' [47, 1] (w:1, o:25, a:1, s:1
% 7.04/7.44 , b:0),
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult' [49, 1] (w:1, o:26, a:1, s:
% 7.04/7.44 1, b:0).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 15
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 983
% 7.04/7.44 Kept: 21
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 16
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 16
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 983
% 7.04/7.44 Kept: 21
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 17
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 17
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 2817
% 7.04/7.44 Kept: 31
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 18
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 18
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 2817
% 7.04/7.44 Kept: 31
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 19
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 19
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 4662
% 7.04/7.44 Kept: 39
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 20
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 20
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 4662
% 7.04/7.44 Kept: 39
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 21
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 21
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 18313
% 7.04/7.44 Kept: 65
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 22
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 22
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 18313
% 7.04/7.44 Kept: 65
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 23
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 23
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 65638
% 7.04/7.44 Kept: 110
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 24
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 24
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 65638
% 7.04/7.44 Kept: 110
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 25
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 25
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 142185
% 7.04/7.44 Kept: 161
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 26
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 26
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 142185
% 7.04/7.44 Kept: 161
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 27
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 27
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 576608
% 7.04/7.44 Kept: 285
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 28
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44 Resimplifying inuse:
% 7.04/7.44 Done
% 7.04/7.44
% 7.04/7.44 Failed to find proof!
% 7.04/7.44 maxweight = 28
% 7.04/7.44 maxnrclauses = 10000000
% 7.04/7.44 Generated: 576608
% 7.04/7.44 Kept: 285
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 The strategy used was not complete!
% 7.04/7.44
% 7.04/7.44 Increased maxweight to 29
% 7.04/7.44
% 7.04/7.44 Starting Search:
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 Bliksems!, er is een bewijs:
% 7.04/7.44 % SZS status Unsatisfiable
% 7.04/7.44 % SZS output start Refutation
% 7.04/7.44
% 7.04/7.44 clause( 0, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x'
% 7.04/7.44 ), 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ),
% 7.04/7.44 't_b' ), 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.44 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.44 , 't_b' ) ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 2, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 3, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 7.04/7.44 ), X ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 7.04/7.44 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 7.04/7.44 'c_times'( Y, Z, X ), X ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 6, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 7, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 14, [ =( 'c_times'( Y, 'c_times'( X, Z, 't_b' ), 't_b' ), 'c_times'(
% 7.04/7.44 'c_times'( Y, Z, 't_b' ), X, 't_b' ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 15, [ =( 'c_times'( 'c_times'( Z, X, 't_b' ), Y, 't_b' ), 'c_times'(
% 7.04/7.44 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 16, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( X, Z, T ), T ), 'c_times'( 'c_times'( Y, Z, T )
% 7.04/7.44 , X, T ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 21, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 7.04/7.44 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 45, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.44 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.44 , 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' )
% 7.04/7.44 , 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b' ) ) ) ]
% 7.04/7.44 )
% 7.04/7.44 .
% 7.04/7.44 clause( 80, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), =(
% 7.04/7.44 'c_times'( 'c_times'( X, Z, T ), Y, T ), 'c_times'( 'c_times'( Y, Z, T )
% 7.04/7.44 , X, T ) ) ] )
% 7.04/7.44 .
% 7.04/7.44 clause( 327, [] )
% 7.04/7.44 .
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 % SZS output end Refutation
% 7.04/7.44 found a proof!
% 7.04/7.44
% 7.04/7.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.04/7.44
% 7.04/7.44 initialclauses(
% 7.04/7.44 [ clause( 329, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.44 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.44 , 't_b' ), 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 7.04/7.44 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b'
% 7.04/7.44 ), 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.44 , clause( 330, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 7.04/7.44 , clause( 331, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 7.04/7.44 , clause( 332, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 7.04/7.44 ), X ) ) ] )
% 7.04/7.44 , clause( 333, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 7.04/7.44 'c_HOL_Oabs'( 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X )
% 7.04/7.44 , 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 7.04/7.44 , clause( 334, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 7.04/7.44 ] ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 eqswap(
% 7.04/7.44 clause( 335, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'(
% 7.04/7.44 'v_x' ), 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x'
% 7.04/7.44 ), 't_b' ), 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b'
% 7.04/7.44 ), 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ),
% 7.04/7.44 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.44 , clause( 329, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.44 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.44 , 't_b' ), 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 7.04/7.44 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b'
% 7.04/7.44 ), 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.44 , 0, substitution( 0, [] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 0, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x'
% 7.04/7.44 ), 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ),
% 7.04/7.44 't_b' ), 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.44 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.44 , 't_b' ) ) ) ] )
% 7.04/7.44 , clause( 335, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'(
% 7.04/7.44 'v_x' ), 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x'
% 7.04/7.44 ), 't_b' ), 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b'
% 7.04/7.44 ), 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ),
% 7.04/7.44 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 7.04/7.44 , clause( 330, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 7.04/7.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 2, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 7.04/7.44 , clause( 331, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 7.04/7.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.04/7.44 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 3, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 7.04/7.44 ), X ) ) ] )
% 7.04/7.44 , clause( 332, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 7.04/7.44 ), X ) ) ] )
% 7.04/7.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 7.04/7.44 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 eqswap(
% 7.04/7.44 clause( 340, [ =( 'c_times'( 'c_HOL_Oabs'( X, Z ), 'c_HOL_Oabs'( Y, Z ), Z
% 7.04/7.44 ), 'c_HOL_Oabs'( 'c_times'( X, Y, Z ), Z ) ), ~(
% 7.04/7.44 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 7.04/7.44 , clause( 333, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 7.04/7.44 'c_HOL_Oabs'( 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X )
% 7.04/7.44 , 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 7.04/7.44 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 7.04/7.44 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 7.04/7.44 'c_times'( Y, Z, X ), X ) ) ] )
% 7.04/7.44 , clause( 340, [ =( 'c_times'( 'c_HOL_Oabs'( X, Z ), 'c_HOL_Oabs'( Y, Z ),
% 7.04/7.44 Z ), 'c_HOL_Oabs'( 'c_times'( X, Y, Z ), Z ) ), ~(
% 7.04/7.44 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 7.04/7.44 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 7.04/7.44 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 7.04/7.44 , clause( 334, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 7.04/7.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.04/7.44 1 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 resolution(
% 7.04/7.44 clause( 343, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 7.04/7.44 , clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 7.04/7.44 , 0, clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 7.04/7.44 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 6, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 7.04/7.44 , clause( 343, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 7.04/7.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 resolution(
% 7.04/7.44 clause( 344, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 7.04/7.44 , clause( 2, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 7.04/7.44 , 0, clause( 6, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 7.04/7.44 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y )] ),
% 7.04/7.44 substitution( 1, [] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 7, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 7.04/7.44 , clause( 344, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ]
% 7.04/7.44 )
% 7.04/7.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.04/7.44 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 paramod(
% 7.04/7.44 clause( 346, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 7.04/7.44 'c_times'( X, 'c_times'( Z, Y, 't_b' ), 't_b' ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.44 , clause( 3, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 7.04/7.44 ), X ) ) ] )
% 7.04/7.44 , 1, clause( 7, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ]
% 7.04/7.44 )
% 7.04/7.44 , 0, 8, substitution( 0, [ :=( X, 't_b' ), :=( Y, Z ), :=( Z, X ), :=( T, Y
% 7.04/7.44 )] ), substitution( 1, [ :=( X, 'c_times'( X, Y, 't_b' ) ), :=( Y, Z )] )
% 7.04/7.44 ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 resolution(
% 7.04/7.44 clause( 367, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 7.04/7.44 'c_times'( X, 'c_times'( Z, Y, 't_b' ), 't_b' ) ) ] )
% 7.04/7.44 , clause( 346, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 7.04/7.44 'c_times'( X, 'c_times'( Z, Y, 't_b' ), 't_b' ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.44 , 1, clause( 6, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 7.04/7.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.04/7.44 substitution( 1, [] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 eqswap(
% 7.04/7.44 clause( 368, [ =( 'c_times'( X, 'c_times'( Z, Y, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.44 , clause( 367, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 7.04/7.44 'c_times'( X, 'c_times'( Z, Y, 't_b' ), 't_b' ) ) ] )
% 7.04/7.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 14, [ =( 'c_times'( Y, 'c_times'( X, Z, 't_b' ), 't_b' ), 'c_times'(
% 7.04/7.44 'c_times'( Y, Z, 't_b' ), X, 't_b' ) ) ] )
% 7.04/7.44 , clause( 368, [ =( 'c_times'( X, 'c_times'( Z, Y, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.44 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 7.04/7.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 paramod(
% 7.04/7.44 clause( 374, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, X, 't_b' ), 't_b' ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.44 , clause( 7, [ =( 'c_times'( X, Y, 't_b' ), 'c_times'( Y, X, 't_b' ) ) ] )
% 7.04/7.44 , 0, clause( 3, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 7.04/7.44 ), X ) ) ] )
% 7.04/7.44 , 1, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 7.04/7.44 :=( X, 't_b' ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 paramod(
% 7.04/7.44 clause( 388, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( Y, X, 't_b' ), Z, 't_b' ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.44 , clause( 14, [ =( 'c_times'( Y, 'c_times'( X, Z, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( Y, Z, 't_b' ), X, 't_b' ) ) ] )
% 7.04/7.44 , 0, clause( 374, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, X, 't_b' ), 't_b' ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.44 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 7.04/7.44 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 paramod(
% 7.04/7.44 clause( 390, [ =( 'c_times'( 'c_times'( X, Z, 't_b' ), Y, 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( Y, X, 't_b' ), Z, 't_b' ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.44 , clause( 14, [ =( 'c_times'( Y, 'c_times'( X, Z, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( Y, Z, 't_b' ), X, 't_b' ) ) ] )
% 7.04/7.44 , 0, clause( 388, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( Y, X, 't_b' ), Z, 't_b' ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.44 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 7.04/7.44 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 resolution(
% 7.04/7.44 clause( 391, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( Z, X, 't_b' ), Y, 't_b' ) ) ] )
% 7.04/7.44 , clause( 390, [ =( 'c_times'( 'c_times'( X, Z, 't_b' ), Y, 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( Y, X, 't_b' ), Z, 't_b' ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.44 , 1, clause( 6, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 7.04/7.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 7.04/7.44 substitution( 1, [] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 eqswap(
% 7.04/7.44 clause( 392, [ =( 'c_times'( 'c_times'( Z, X, 't_b' ), Y, 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.44 , clause( 391, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( Z, X, 't_b' ), Y, 't_b' ) ) ] )
% 7.04/7.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 15, [ =( 'c_times'( 'c_times'( Z, X, 't_b' ), Y, 't_b' ), 'c_times'(
% 7.04/7.44 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.44 , clause( 392, [ =( 'c_times'( 'c_times'( Z, X, 't_b' ), Y, 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.04/7.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 paramod(
% 7.04/7.44 clause( 393, [ =( 'c_times'( Y, 'c_times'( X, Z, T ), T ), 'c_times'(
% 7.04/7.44 'c_times'( Y, Z, T ), X, T ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( T ) ) ] )
% 7.04/7.44 , clause( 3, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 7.04/7.44 ), X ) ) ] )
% 7.04/7.44 , 1, clause( 2, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.44 'c_times'( Y, Z, X ), 'c_times'( Z, Y, X ) ) ] )
% 7.04/7.44 , 1, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 7.04/7.44 , substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, 'c_times'( Y, Z, T )
% 7.04/7.44 )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 factor(
% 7.04/7.44 clause( 405, [ =( 'c_times'( X, 'c_times'( Y, Z, T ), T ), 'c_times'(
% 7.04/7.44 'c_times'( X, Z, T ), Y, T ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( T ) ) ] )
% 7.04/7.44 , clause( 393, [ =( 'c_times'( Y, 'c_times'( X, Z, T ), T ), 'c_times'(
% 7.04/7.44 'c_times'( Y, Z, T ), X, T ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( T ) ) ] )
% 7.04/7.44 , 1, 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 7.04/7.44 ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 16, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), =(
% 7.04/7.44 'c_times'( Y, 'c_times'( X, Z, T ), T ), 'c_times'( 'c_times'( Y, Z, T )
% 7.04/7.44 , X, T ) ) ] )
% 7.04/7.44 , clause( 405, [ =( 'c_times'( X, 'c_times'( Y, Z, T ), T ), 'c_times'(
% 7.04/7.44 'c_times'( X, Z, T ), Y, T ) ), ~(
% 7.04/7.44 'class_OrderedGroup_Oab__semigroup__mult'( T ) ) ] )
% 7.04/7.44 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] ),
% 7.04/7.44 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 eqswap(
% 7.04/7.44 clause( 439, [ =( 'c_HOL_Oabs'( 'c_times'( X, Z, Y ), Y ), 'c_times'(
% 7.04/7.44 'c_HOL_Oabs'( X, Y ), 'c_HOL_Oabs'( Z, Y ), Y ) ), ~(
% 7.04/7.44 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 7.04/7.44 , clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 7.04/7.44 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 7.04/7.44 'c_times'( Y, Z, X ), X ) ) ] )
% 7.04/7.44 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 resolution(
% 7.04/7.44 clause( 440, [ =( 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' ) )
% 7.04/7.44 ] )
% 7.04/7.44 , clause( 439, [ =( 'c_HOL_Oabs'( 'c_times'( X, Z, Y ), Y ), 'c_times'(
% 7.04/7.44 'c_HOL_Oabs'( X, Y ), 'c_HOL_Oabs'( Z, Y ), Y ) ), ~(
% 7.04/7.44 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 7.04/7.44 , 1, clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 7.04/7.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' ), :=( Z, Y )] ),
% 7.04/7.44 substitution( 1, [] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 eqswap(
% 7.04/7.44 clause( 441, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 7.04/7.44 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 7.04/7.44 , clause( 440, [ =( 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ),
% 7.04/7.44 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' ) )
% 7.04/7.44 ] )
% 7.04/7.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 subsumption(
% 7.04/7.44 clause( 21, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 7.04/7.44 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 7.04/7.44 , clause( 441, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 7.04/7.44 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 7.04/7.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.04/7.44 )] ) ).
% 7.04/7.44
% 7.04/7.44
% 7.04/7.44 eqswap(
% 7.04/7.44 clause( 442, [ =( 'c_times'( 'c_times'( Y, Z, 't_b' ), X, 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.44 , clause( 15, [ =( 'c_times'( 'c_times'( Z, X, 't_b' ), Y, 't_b' ),
% 7.04/7.44 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 eqswap(
% 7.04/7.45 clause( 443, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 7.04/7.45 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b'
% 7.04/7.45 ), 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.45 , clause( 0, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'(
% 7.04/7.45 'v_x' ), 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x'
% 7.04/7.45 ), 't_b' ), 't_b' ), 't_b' ), 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b'
% 7.04/7.45 ), 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ),
% 7.04/7.45 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.45 , 0, substitution( 0, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 paramod(
% 7.04/7.45 clause( 447, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'(
% 7.04/7.45 'v_x' ), 't_b' ), 't_b' ), 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 7.04/7.45 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.45 , clause( 442, [ =( 'c_times'( 'c_times'( Y, Z, 't_b' ), X, 't_b' ),
% 7.04/7.45 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.45 , 0, clause( 443, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 7.04/7.45 't_b' ), 't_b' ), 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b'
% 7.04/7.45 ), 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.45 , 0, 16, substitution( 0, [ :=( X, 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'(
% 7.04/7.45 'v_x' ), 't_b' ), 't_b' ) ), :=( Y, 'v_c' ), :=( Z, 'c_HOL_Oabs'( 'v_f'(
% 7.04/7.45 'v_x' ), 't_b' ) )] ), substitution( 1, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 paramod(
% 7.04/7.45 clause( 449, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ),
% 7.04/7.45 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b'
% 7.04/7.45 ), 'v_c', 't_b' ) ) ) ] )
% 7.04/7.45 , clause( 442, [ =( 'c_times'( 'c_times'( Y, Z, 't_b' ), X, 't_b' ),
% 7.04/7.45 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 7.04/7.45 , 0, clause( 447, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'(
% 7.04/7.45 'v_x' ), 't_b' ), 't_b' ), 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 7.04/7.45 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.45 , 0, 16, substitution( 0, [ :=( X, 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ) )
% 7.04/7.45 , :=( Y, 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b'
% 7.04/7.45 ) ), :=( Z, 'v_c' )] ), substitution( 1, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 paramod(
% 7.04/7.45 clause( 477, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' )
% 7.04/7.45 , 't_b' ), 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b'
% 7.04/7.45 ), 'v_c', 't_b' ) ) ) ] )
% 7.04/7.45 , clause( 14, [ =( 'c_times'( Y, 'c_times'( X, Z, 't_b' ), 't_b' ),
% 7.04/7.45 'c_times'( 'c_times'( Y, Z, 't_b' ), X, 't_b' ) ) ] )
% 7.04/7.45 , 0, clause( 449, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ),
% 7.04/7.45 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b'
% 7.04/7.45 ), 'v_c', 't_b' ) ) ) ] )
% 7.04/7.45 , 0, 17, substitution( 0, [ :=( X, 'v_ca' ), :=( Y, 'c_HOL_Oabs'( 'v_f'(
% 7.04/7.45 'v_x' ), 't_b' ) ), :=( Z, 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ) )] ),
% 7.04/7.45 substitution( 1, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 paramod(
% 7.04/7.45 clause( 478, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' )
% 7.04/7.45 , 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b' ) ) ) ]
% 7.04/7.45 )
% 7.04/7.45 , clause( 21, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_b' ), 'c_HOL_Oabs'( Y,
% 7.04/7.45 't_b' ), 't_b' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_b' ), 't_b' ) ) ] )
% 7.04/7.45 , 0, clause( 477, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' )
% 7.04/7.45 , 't_b' ), 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b'
% 7.04/7.45 ), 'v_c', 't_b' ) ) ) ] )
% 7.04/7.45 , 0, 18, substitution( 0, [ :=( X, 'v_f'( 'v_x' ) ), :=( Y, 'v_g'( 'v_x' )
% 7.04/7.45 )] ), substitution( 1, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 subsumption(
% 7.04/7.45 clause( 45, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' )
% 7.04/7.45 , 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b' ) ) ) ]
% 7.04/7.45 )
% 7.04/7.45 , clause( 478, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' )
% 7.04/7.45 , 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b' ) ) ) ]
% 7.04/7.45 )
% 7.04/7.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 eqswap(
% 7.04/7.45 clause( 480, [ =( 'c_times'( 'c_times'( X, Z, T ), Y, T ), 'c_times'( X,
% 7.04/7.45 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Oab__semigroup__mult'(
% 7.04/7.45 T ) ) ] )
% 7.04/7.45 , clause( 16, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), =(
% 7.04/7.45 'c_times'( Y, 'c_times'( X, Z, T ), T ), 'c_times'( 'c_times'( Y, Z, T )
% 7.04/7.45 , X, T ) ) ] )
% 7.04/7.45 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 7.04/7.45 ).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 paramod(
% 7.04/7.45 clause( 484, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'( T,
% 7.04/7.45 'c_times'( X, Y, Z ), Z ) ), ~( 'class_OrderedGroup_Oab__semigroup__mult'(
% 7.04/7.45 Z ) ), ~( 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ) ] )
% 7.04/7.45 , clause( 3, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 7.04/7.45 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X
% 7.04/7.45 ), X ) ) ] )
% 7.04/7.45 , 1, clause( 480, [ =( 'c_times'( 'c_times'( X, Z, T ), Y, T ), 'c_times'(
% 7.04/7.45 X, 'c_times'( Y, Z, T ), T ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( T ) ) ] )
% 7.04/7.45 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 7.04/7.45 , substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 7.04/7.45 ).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 paramod(
% 7.04/7.45 clause( 736, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'(
% 7.04/7.45 'c_times'( T, Y, Z ), X, Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ) ] )
% 7.04/7.45 , clause( 16, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), =(
% 7.04/7.45 'c_times'( Y, 'c_times'( X, Z, T ), T ), 'c_times'( 'c_times'( Y, Z, T )
% 7.04/7.45 , X, T ) ) ] )
% 7.04/7.45 , 1, clause( 484, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'(
% 7.04/7.45 T, 'c_times'( X, Y, Z ), Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ) ] )
% 7.04/7.45 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 7.04/7.45 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 7.04/7.45 ).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 factor(
% 7.04/7.45 clause( 737, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'(
% 7.04/7.45 'c_times'( T, Y, Z ), X, Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ) ] )
% 7.04/7.45 , clause( 736, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'(
% 7.04/7.45 'c_times'( T, Y, Z ), X, Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ) ] )
% 7.04/7.45 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 7.04/7.45 ).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 factor(
% 7.04/7.45 clause( 738, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'(
% 7.04/7.45 'c_times'( T, Y, Z ), X, Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ) ] )
% 7.04/7.45 , clause( 737, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'(
% 7.04/7.45 'c_times'( T, Y, Z ), X, Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ) ] )
% 7.04/7.45 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 7.04/7.45 ).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 subsumption(
% 7.04/7.45 clause( 80, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), =(
% 7.04/7.45 'c_times'( 'c_times'( X, Z, T ), Y, T ), 'c_times'( 'c_times'( Y, Z, T )
% 7.04/7.45 , X, T ) ) ] )
% 7.04/7.45 , clause( 738, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'(
% 7.04/7.45 'c_times'( T, Y, Z ), X, Z ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( Z ) ) ] )
% 7.04/7.45 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] ),
% 7.04/7.45 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 eqswap(
% 7.04/7.45 clause( 739, [ ~( =( 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'(
% 7.04/7.45 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b'
% 7.04/7.45 ), 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ), 'c_HOL_Oabs'( 'c_times'(
% 7.04/7.45 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ) ] )
% 7.04/7.45 , clause( 45, [ ~( =( 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ),
% 7.04/7.45 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' )
% 7.04/7.45 , 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b' ) ) ) ]
% 7.04/7.45 )
% 7.04/7.45 , 0, substitution( 0, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 paramod(
% 7.04/7.45 clause( 741, [ ~( =( 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'(
% 7.04/7.45 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b'
% 7.04/7.45 ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'(
% 7.04/7.45 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b' ) ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.45 , clause( 80, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( T ) ), =(
% 7.04/7.45 'c_times'( 'c_times'( X, Z, T ), Y, T ), 'c_times'( 'c_times'( Y, Z, T )
% 7.04/7.45 , X, T ) ) ] )
% 7.04/7.45 , 1, clause( 739, [ ~( =( 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'(
% 7.04/7.45 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c'
% 7.04/7.45 , 't_b' ), 'c_times'( 'c_times'( 'v_c', 'v_ca', 't_b' ), 'c_HOL_Oabs'(
% 7.04/7.45 'c_times'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) )
% 7.04/7.45 ] )
% 7.04/7.45 , 0, 16, substitution( 0, [ :=( X, 'v_c' ), :=( Y, 'c_HOL_Oabs'( 'c_times'(
% 7.04/7.45 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ), :=( Z, 'v_ca' ), :=(
% 7.04/7.45 T, 't_b' )] ), substitution( 1, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 eqrefl(
% 7.04/7.45 clause( 782, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.45 , clause( 741, [ ~( =( 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'(
% 7.04/7.45 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b'
% 7.04/7.45 ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( 'c_times'( 'v_f'( 'v_x' ), 'v_g'(
% 7.04/7.45 'v_x' ), 't_b' ), 't_b' ), 'v_ca', 't_b' ), 'v_c', 't_b' ) ) ), ~(
% 7.04/7.45 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ] )
% 7.04/7.45 , 0, substitution( 0, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 resolution(
% 7.04/7.45 clause( 783, [] )
% 7.04/7.45 , clause( 782, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ) ]
% 7.04/7.45 )
% 7.04/7.45 , 0, clause( 6, [ 'class_OrderedGroup_Oab__semigroup__mult'( 't_b' ) ] )
% 7.04/7.45 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 subsumption(
% 7.04/7.45 clause( 327, [] )
% 7.04/7.45 , clause( 783, [] )
% 7.04/7.45 , substitution( 0, [] ), permutation( 0, [] ) ).
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 end.
% 7.04/7.45
% 7.04/7.45 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.04/7.45
% 7.04/7.45 Memory use:
% 7.04/7.45
% 7.04/7.45 space for terms: 8408
% 7.04/7.45 space for clauses: 38483
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 clauses generated: 18142
% 7.04/7.45 clauses kept: 328
% 7.04/7.45 clauses selected: 62
% 7.04/7.45 clauses deleted: 4
% 7.04/7.45 clauses inuse deleted: 0
% 7.04/7.45
% 7.04/7.45 subsentry: 26675
% 7.04/7.45 literals s-matched: 23573
% 7.04/7.45 literals matched: 18919
% 7.04/7.45 full subsumption: 0
% 7.04/7.45
% 7.04/7.45 checksum: -2084298991
% 7.04/7.45
% 7.04/7.45
% 7.04/7.45 Bliksem ended
%------------------------------------------------------------------------------