TSTP Solution File: ANA015-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 18:38:13 EDT 2022
% Result : Unsatisfiable 0.71s 1.13s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 8 06:06:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.13 *** allocated 10000 integers for termspace/termends
% 0.71/1.13 *** allocated 10000 integers for clauses
% 0.71/1.13 *** allocated 10000 integers for justifications
% 0.71/1.13 Bliksem 1.12
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Automatic Strategy Selection
% 0.71/1.13
% 0.71/1.13 Clauses:
% 0.71/1.13 [
% 0.71/1.13 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 0.71/1.13 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.71/1.13 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X ), X ) ) ]
% 0.71/1.13 ,
% 0.71/1.13 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 0.71/1.13 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'(
% 0.71/1.13 Z, X ), X ) ) ],
% 0.71/1.13 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.13 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ],
% 0.71/1.13 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ), 'c_times'( 'v_d',
% 0.71/1.13 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ],
% 0.71/1.13 [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'c_HOL_Oinverse'( 'v_c',
% 0.71/1.13 't_a' ), 'v_g'( 'v_x'( X ) ), 't_a' ), 't_a' ), 'c_times'( X,
% 0.71/1.13 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_a' ), 't_a' ), 't_a' ) ) ],
% 0.71/1.13 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.71/1.13 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.71/1.13 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.13 'class_Ring__and__Field_Ofield'( X ) ],
% 0.71/1.13 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.13 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.71/1.13 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.13 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.71/1.13 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.13 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.71/1.13 [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ]
% 0.71/1.13 ] .
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 percentage equality = 0.086957, percentage horn = 1.000000
% 0.71/1.13 This is a problem with some equality
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Options Used:
% 0.71/1.13
% 0.71/1.13 useres = 1
% 0.71/1.13 useparamod = 1
% 0.71/1.13 useeqrefl = 1
% 0.71/1.13 useeqfact = 1
% 0.71/1.13 usefactor = 1
% 0.71/1.13 usesimpsplitting = 0
% 0.71/1.13 usesimpdemod = 5
% 0.71/1.13 usesimpres = 3
% 0.71/1.13
% 0.71/1.13 resimpinuse = 1000
% 0.71/1.13 resimpclauses = 20000
% 0.71/1.13 substype = eqrewr
% 0.71/1.13 backwardsubs = 1
% 0.71/1.13 selectoldest = 5
% 0.71/1.13
% 0.71/1.13 litorderings [0] = split
% 0.71/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.13
% 0.71/1.13 termordering = kbo
% 0.71/1.13
% 0.71/1.13 litapriori = 0
% 0.71/1.13 termapriori = 1
% 0.71/1.13 litaposteriori = 0
% 0.71/1.13 termaposteriori = 0
% 0.71/1.13 demodaposteriori = 0
% 0.71/1.13 ordereqreflfact = 0
% 0.71/1.13
% 0.71/1.13 litselect = negord
% 0.71/1.13
% 0.71/1.13 maxweight = 15
% 0.71/1.13 maxdepth = 30000
% 0.71/1.13 maxlength = 115
% 0.71/1.13 maxnrvars = 195
% 0.71/1.13 excuselevel = 1
% 0.71/1.13 increasemaxweight = 1
% 0.71/1.13
% 0.71/1.13 maxselected = 10000000
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13
% 0.71/1.13 showgenerated = 0
% 0.71/1.13 showkept = 0
% 0.71/1.13 showselected = 0
% 0.71/1.13 showdeleted = 0
% 0.71/1.13 showresimp = 1
% 0.71/1.13 showstatus = 2000
% 0.71/1.13
% 0.71/1.13 prologoutput = 1
% 0.71/1.13 nrgoals = 5000000
% 0.71/1.13 totalproof = 1
% 0.71/1.13
% 0.71/1.13 Symbols occurring in the translation:
% 0.71/1.13
% 0.71/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.13 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.71/1.13 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.71/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Olordered__ab__group__abs' [40, 1] (w:1, o:24, a:
% 0.71/1.13 1, s:1, b:0),
% 0.71/1.13 'c_0' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.13 'c_HOL_Oabs' [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.13 'c_lessequals' [44, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Osemigroup__mult' [45, 1] (w:1, o:25, a:1, s:1
% 0.71/1.13 , b:0),
% 0.71/1.13 'c_times' [47, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.71/1.13 'class_Ring__and__Field_Oordered__idom' [49, 1] (w:1, o:26, a:1, s:1
% 0.71/1.13 , b:0),
% 0.71/1.13 'class_Ring__and__Field_Opordered__semiring' [50, 1] (w:1, o:28, a:1
% 0.71/1.13 , s:1, b:0),
% 0.71/1.13 'v_g' [52, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.71/1.13 't_a' [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.13 'v_d' [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.71/1.13 'v_f' [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.71/1.13 'v_c' [56, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.71/1.13 'c_HOL_Oinverse' [57, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.13 'v_x' [58, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.71/1.13 'class_Ring__and__Field_Ofield' [60, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.71/1.13 'class_Ring__and__Field_Oordered__field' [61, 1] (w:1, o:27, a:1, s:1
% 0.71/1.13 , b:0).
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Starting Search:
% 0.71/1.13
% 0.71/1.13 Resimplifying inuse:
% 0.71/1.13 Done
% 0.71/1.13
% 0.71/1.13 Failed to find proof!
% 0.71/1.13 maxweight = 15
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13 Generated: 427
% 0.71/1.13 Kept: 36
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 The strategy used was not complete!
% 0.71/1.13
% 0.71/1.13 Increased maxweight to 16
% 0.71/1.13
% 0.71/1.13 Starting Search:
% 0.71/1.13
% 0.71/1.13 Resimplifying inuse:
% 0.71/1.13 Done
% 0.71/1.13
% 0.71/1.13 Failed to find proof!
% 0.71/1.13 maxweight = 16
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13 Generated: 482
% 0.71/1.13 Kept: 40
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 The strategy used was not complete!
% 0.71/1.13
% 0.71/1.13 Increased maxweight to 17
% 0.71/1.13
% 0.71/1.13 Starting Search:
% 0.71/1.13
% 0.71/1.13 Resimplifying inuse:
% 0.71/1.13 Done
% 0.71/1.13
% 0.71/1.13 Failed to find proof!
% 0.71/1.13 maxweight = 17
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13 Generated: 550
% 0.71/1.13 Kept: 42
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 The strategy used was not complete!
% 0.71/1.13
% 0.71/1.13 Increased maxweight to 18
% 0.71/1.13
% 0.71/1.13 Starting Search:
% 0.71/1.13
% 0.71/1.13 Resimplifying inuse:
% 0.71/1.13 Done
% 0.71/1.13
% 0.71/1.13 Failed to find proof!
% 0.71/1.13 maxweight = 18
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13 Generated: 693
% 0.71/1.13 Kept: 48
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 The strategy used was not complete!
% 0.71/1.13
% 0.71/1.13 Increased maxweight to 19
% 0.71/1.13
% 0.71/1.13 Starting Search:
% 0.71/1.13
% 0.71/1.13 Resimplifying inuse:
% 0.71/1.13 Done
% 0.71/1.13
% 0.71/1.13 Failed to find proof!
% 0.71/1.13 maxweight = 19
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13 Generated: 715
% 0.71/1.13 Kept: 49
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 The strategy used was not complete!
% 0.71/1.13
% 0.71/1.13 Increased maxweight to 20
% 0.71/1.13
% 0.71/1.13 Starting Search:
% 0.71/1.13
% 0.71/1.13 Resimplifying inuse:
% 0.71/1.13 Done
% 0.71/1.13
% 0.71/1.13 Failed to find proof!
% 0.71/1.13 maxweight = 20
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13 Generated: 936
% 0.71/1.13 Kept: 60
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 The strategy used was not complete!
% 0.71/1.13
% 0.71/1.13 Increased maxweight to 21
% 0.71/1.13
% 0.71/1.13 Starting Search:
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Bliksems!, er is een bewijs:
% 0.71/1.13 % SZS status Unsatisfiable
% 0.71/1.13 % SZS output start Refutation
% 0.71/1.13
% 0.71/1.13 clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 1, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.71/1.13 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 .
% 0.71/1.13 clause( 2, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.13 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.71/1.13 'c_times'( Y, Z, X ), X ) ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 3, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.13 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 4, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ), 'c_times'(
% 0.71/1.13 'v_d', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 5, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'c_HOL_Oinverse'(
% 0.71/1.13 'v_c', 't_a' ), 'v_g'( 'v_x'( X ) ), 't_a' ), 't_a' ), 'c_times'( X,
% 0.71/1.13 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 6, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.71/1.13 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.13 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.13 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.13 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 10, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.13 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 11, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 14, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 15, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 17, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 18, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 20, [ 'class_OrderedGroup_Osemigroup__mult'( 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 22, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_a' ), 't_a' ), 'c_times'(
% 0.71/1.13 'c_times'( X, Y, 't_a' ), Z, 't_a' ) ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 24, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y,
% 0.71/1.13 't_a' ), 't_a' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_a' ), 't_a' ) ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 32, [ ~( 'c_lessequals'( X, Y, 't_a' ) ), 'c_lessequals'( 'c_times'(
% 0.71/1.13 'c_HOL_Oabs'( Z, 't_a' ), X, 't_a' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_a' )
% 0.71/1.13 , Y, 't_a' ), 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 55, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( Y ), 't_a'
% 0.71/1.13 ), 't_a' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'v_d', 't_a'
% 0.71/1.13 ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 64, [] )
% 0.71/1.13 .
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 % SZS output end Refutation
% 0.71/1.13 found a proof!
% 0.71/1.13
% 0.71/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.13
% 0.71/1.13 initialclauses(
% 0.71/1.13 [ clause( 66, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.13 , clause( 67, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.71/1.13 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 0.71/1.13 ), X ) ) ] )
% 0.71/1.13 , clause( 68, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.13 'c_HOL_Oabs'( 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X )
% 0.71/1.13 , 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 69, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.13 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.71/1.13 , clause( 70, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ),
% 0.71/1.13 'c_times'( 'v_d', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ]
% 0.71/1.14 )
% 0.71/1.14 , clause( 71, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'(
% 0.71/1.14 'c_HOL_Oinverse'( 'v_c', 't_a' ), 'v_g'( 'v_x'( X ) ), 't_a' ), 't_a' ),
% 0.71/1.14 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_a' ), 't_a' ), 't_a'
% 0.71/1.14 ) ) ] )
% 0.71/1.14 , clause( 72, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.71/1.14 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.71/1.14 , clause( 73, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.71/1.14 , clause( 74, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 0.71/1.14 , clause( 75, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.71/1.14 , clause( 76, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.14 , clause( 77, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.71/1.14 ] ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.14 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.14 , clause( 66, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.14 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.14 ), ==>( 1, 1 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 78, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 0.71/1.14 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 0.71/1.14 Z ) ) ] )
% 0.71/1.14 , clause( 67, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.71/1.14 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 0.71/1.14 ), X ) ) ] )
% 0.71/1.14 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.71/1.14 ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 1, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.71/1.14 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 0.71/1.14 )
% 0.71/1.14 , clause( 78, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 0.71/1.14 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 0.71/1.14 Z ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 80, [ =( 'c_times'( 'c_HOL_Oabs'( X, Z ), 'c_HOL_Oabs'( Y, Z ), Z )
% 0.71/1.14 , 'c_HOL_Oabs'( 'c_times'( X, Y, Z ), Z ) ), ~(
% 0.71/1.14 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.71/1.14 , clause( 68, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.14 'c_HOL_Oabs'( 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X )
% 0.71/1.14 , 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 0.71/1.14 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 2, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.14 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.71/1.14 'c_times'( Y, Z, X ), X ) ) ] )
% 0.71/1.14 , clause( 80, [ =( 'c_times'( 'c_HOL_Oabs'( X, Z ), 'c_HOL_Oabs'( Y, Z ), Z
% 0.71/1.14 ), 'c_HOL_Oabs'( 'c_times'( X, Y, Z ), Z ) ), ~(
% 0.71/1.14 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 3, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.14 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.14 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.71/1.14 , clause( 69, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.14 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.14 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.71/1.14 ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 4, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ), 'c_times'(
% 0.71/1.14 'v_d', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 70, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ),
% 0.71/1.14 'c_times'( 'v_d', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ]
% 0.71/1.14 )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 5, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'c_HOL_Oinverse'(
% 0.71/1.14 'v_c', 't_a' ), 'v_g'( 'v_x'( X ) ), 't_a' ), 't_a' ), 'c_times'( X,
% 0.71/1.14 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.71/1.14 , clause( 71, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'(
% 0.71/1.14 'c_HOL_Oinverse'( 'v_c', 't_a' ), 'v_g'( 'v_x'( X ) ), 't_a' ), 't_a' ),
% 0.71/1.14 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_a' ), 't_a' ), 't_a'
% 0.71/1.14 ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 6, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.71/1.14 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.71/1.14 , clause( 72, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.71/1.14 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.14 1 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.71/1.14 , clause( 73, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.14 1 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 0.71/1.14 , clause( 74, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.14 1 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.71/1.14 , clause( 75, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.14 1 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 10, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.14 , clause( 76, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.14 1 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 11, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.71/1.14 , clause( 77, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 108, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.71/1.14 , clause( 10, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.14 , 0, clause( 11, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.71/1.14 , clause( 108, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ]
% 0.71/1.14 )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 109, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ] )
% 0.71/1.14 , clause( 9, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.71/1.14 , 0, clause( 11, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 14, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ] )
% 0.71/1.14 , clause( 109, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ] )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 110, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ]
% 0.71/1.14 )
% 0.71/1.14 , clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.14 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.14 , 0, clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' )
% 0.71/1.14 ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, X )] ), substitution( 1, [] )
% 0.71/1.14 ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 15, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 110, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ]
% 0.71/1.14 )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 111, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.14 , clause( 8, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 0.71/1.14 , 0, clause( 11, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 17, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.14 , clause( 111, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 112, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.71/1.14 , clause( 7, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.71/1.14 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.71/1.14 , 0, clause( 11, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 18, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.71/1.14 , clause( 112, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 113, [ 'class_OrderedGroup_Osemigroup__mult'( 't_a' ) ] )
% 0.71/1.14 , clause( 6, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.71/1.14 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.71/1.14 , 0, clause( 18, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 20, [ 'class_OrderedGroup_Osemigroup__mult'( 't_a' ) ] )
% 0.71/1.14 , clause( 113, [ 'class_OrderedGroup_Osemigroup__mult'( 't_a' ) ] )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 114, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 0.71/1.14 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 0.71/1.14 ) ) ] )
% 0.71/1.14 , clause( 1, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.71/1.14 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X )
% 0.71/1.14 , T, X ) ) ] )
% 0.71/1.14 , 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.71/1.14 ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 115, [ =( 'c_times'( 'c_times'( X, Y, 't_a' ), Z, 't_a' ),
% 0.71/1.14 'c_times'( X, 'c_times'( Y, Z, 't_a' ), 't_a' ) ) ] )
% 0.71/1.14 , clause( 114, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 0.71/1.14 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 0.71/1.14 ) ) ] )
% 0.71/1.14 , 1, clause( 20, [ 'class_OrderedGroup_Osemigroup__mult'( 't_a' ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 't_a' )] )
% 0.71/1.14 , substitution( 1, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 116, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_a' ), 't_a' ),
% 0.71/1.14 'c_times'( 'c_times'( X, Y, 't_a' ), Z, 't_a' ) ) ] )
% 0.71/1.14 , clause( 115, [ =( 'c_times'( 'c_times'( X, Y, 't_a' ), Z, 't_a' ),
% 0.71/1.14 'c_times'( X, 'c_times'( Y, Z, 't_a' ), 't_a' ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 22, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_a' ), 't_a' ), 'c_times'(
% 0.71/1.14 'c_times'( X, Y, 't_a' ), Z, 't_a' ) ) ] )
% 0.71/1.14 , clause( 116, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_a' ), 't_a' ),
% 0.71/1.14 'c_times'( 'c_times'( X, Y, 't_a' ), Z, 't_a' ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 117, [ =( 'c_HOL_Oabs'( 'c_times'( X, Z, Y ), Y ), 'c_times'(
% 0.71/1.14 'c_HOL_Oabs'( X, Y ), 'c_HOL_Oabs'( Z, Y ), Y ) ), ~(
% 0.71/1.14 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.71/1.14 , clause( 2, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.14 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.71/1.14 'c_times'( Y, Z, X ), X ) ) ] )
% 0.71/1.14 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 118, [ =( 'c_HOL_Oabs'( 'c_times'( X, Y, 't_a' ), 't_a' ),
% 0.71/1.14 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y, 't_a' ), 't_a' ) )
% 0.71/1.14 ] )
% 0.71/1.14 , clause( 117, [ =( 'c_HOL_Oabs'( 'c_times'( X, Z, Y ), Y ), 'c_times'(
% 0.71/1.14 'c_HOL_Oabs'( X, Y ), 'c_HOL_Oabs'( Z, Y ), Y ) ), ~(
% 0.71/1.14 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.71/1.14 , 1, clause( 17, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_a' ), :=( Z, Y )] ),
% 0.71/1.14 substitution( 1, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 119, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y,
% 0.71/1.14 't_a' ), 't_a' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_a' ), 't_a' ) ) ] )
% 0.71/1.14 , clause( 118, [ =( 'c_HOL_Oabs'( 'c_times'( X, Y, 't_a' ), 't_a' ),
% 0.71/1.14 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y, 't_a' ), 't_a' ) )
% 0.71/1.14 ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 24, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y,
% 0.71/1.14 't_a' ), 't_a' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_a' ), 't_a' ) ) ] )
% 0.71/1.14 , clause( 119, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y,
% 0.71/1.14 't_a' ), 't_a' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_a' ), 't_a' ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.14 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 121, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ),
% 0.71/1.14 ~( 'c_lessequals'( X, Y, 't_a' ) ), 'c_lessequals'( 'c_times'(
% 0.71/1.14 'c_HOL_Oabs'( Z, 't_a' ), X, 't_a' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_a' )
% 0.71/1.14 , Y, 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 3, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.14 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.14 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.71/1.14 , 2, clause( 15, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' )
% 0.71/1.14 ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, X ), :=( Z, Y ), :=( T,
% 0.71/1.14 'c_HOL_Oabs'( Z, 't_a' ) )] ), substitution( 1, [ :=( X, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 123, [ ~( 'c_lessequals'( X, Y, 't_a' ) ), 'c_lessequals'(
% 0.71/1.14 'c_times'( 'c_HOL_Oabs'( Z, 't_a' ), X, 't_a' ), 'c_times'( 'c_HOL_Oabs'(
% 0.71/1.14 Z, 't_a' ), Y, 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 121, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) )
% 0.71/1.14 , ~( 'c_lessequals'( X, Y, 't_a' ) ), 'c_lessequals'( 'c_times'(
% 0.71/1.14 'c_HOL_Oabs'( Z, 't_a' ), X, 't_a' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_a' )
% 0.71/1.14 , Y, 't_a' ), 't_a' ) ] )
% 0.71/1.14 , 0, clause( 14, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ]
% 0.71/1.14 )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 substitution( 1, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 32, [ ~( 'c_lessequals'( X, Y, 't_a' ) ), 'c_lessequals'( 'c_times'(
% 0.71/1.14 'c_HOL_Oabs'( Z, 't_a' ), X, 't_a' ), 'c_times'( 'c_HOL_Oabs'( Z, 't_a' )
% 0.71/1.14 , Y, 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 123, [ ~( 'c_lessequals'( X, Y, 't_a' ) ), 'c_lessequals'(
% 0.71/1.14 'c_times'( 'c_HOL_Oabs'( Z, 't_a' ), X, 't_a' ), 'c_times'( 'c_HOL_Oabs'(
% 0.71/1.14 Z, 't_a' ), Y, 't_a' ), 't_a' ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 126, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( Y, 't_a' ),
% 0.71/1.14 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ), 't_a' ), 'c_times'( 'c_HOL_Oabs'( Y,
% 0.71/1.14 't_a' ), 'c_times'( 'v_d', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ),
% 0.71/1.14 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 32, [ ~( 'c_lessequals'( X, Y, 't_a' ) ), 'c_lessequals'(
% 0.71/1.14 'c_times'( 'c_HOL_Oabs'( Z, 't_a' ), X, 't_a' ), 'c_times'( 'c_HOL_Oabs'(
% 0.71/1.14 Z, 't_a' ), Y, 't_a' ), 't_a' ) ] )
% 0.71/1.14 , 0, clause( 4, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ),
% 0.71/1.14 'c_times'( 'v_d', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ]
% 0.71/1.14 )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ) ), :=( Y,
% 0.71/1.14 'c_times'( 'v_d', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ) ), :=( Z, Y
% 0.71/1.14 )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 127, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( Y ),
% 0.71/1.14 't_a' ), 't_a' ), 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_times'( 'v_d',
% 0.71/1.14 'c_HOL_Oabs'( 'v_f'( Y ), 't_a' ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 24, [ =( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y,
% 0.71/1.14 't_a' ), 't_a' ), 'c_HOL_Oabs'( 'c_times'( X, Y, 't_a' ), 't_a' ) ) ] )
% 0.71/1.14 , 0, clause( 126, [ 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( Y, 't_a' ),
% 0.71/1.14 'c_HOL_Oabs'( 'v_g'( X ), 't_a' ), 't_a' ), 'c_times'( 'c_HOL_Oabs'( Y,
% 0.71/1.14 't_a' ), 'c_times'( 'v_d', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ),
% 0.71/1.14 't_a' ), 't_a' ) ] )
% 0.71/1.14 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_g'( Y ) )] ),
% 0.71/1.14 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 128, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( Y ),
% 0.71/1.14 't_a' ), 't_a' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'v_d',
% 0.71/1.14 't_a' ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 22, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_a' ), 't_a' ),
% 0.71/1.14 'c_times'( 'c_times'( X, Y, 't_a' ), Z, 't_a' ) ) ] )
% 0.71/1.14 , 0, clause( 127, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( Y )
% 0.71/1.14 , 't_a' ), 't_a' ), 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_times'( 'v_d'
% 0.71/1.14 , 'c_HOL_Oabs'( 'v_f'( Y ), 't_a' ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.14 , 0, 8, substitution( 0, [ :=( X, 'c_HOL_Oabs'( X, 't_a' ) ), :=( Y, 'v_d'
% 0.71/1.14 ), :=( Z, 'c_HOL_Oabs'( 'v_f'( Y ), 't_a' ) )] ), substitution( 1, [
% 0.71/1.14 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 55, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( Y ), 't_a'
% 0.71/1.14 ), 't_a' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'v_d', 't_a'
% 0.71/1.14 ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.14 , clause( 128, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( Y ),
% 0.71/1.14 't_a' ), 't_a' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'v_d',
% 0.71/1.14 't_a' ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.14 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 129, [] )
% 0.71/1.14 , clause( 5, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( 'c_HOL_Oinverse'(
% 0.71/1.14 'v_c', 't_a' ), 'v_g'( 'v_x'( X ) ), 't_a' ), 't_a' ), 'c_times'( X,
% 0.71/1.14 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.71/1.14 , 0, clause( 55, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( Y ),
% 0.71/1.14 't_a' ), 't_a' ), 'c_times'( 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'v_d',
% 0.71/1.14 't_a' ), 'c_HOL_Oabs'( 'v_f'( Y ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, 'c_times'( 'c_HOL_Oabs'( 'c_HOL_Oinverse'(
% 0.71/1.14 'v_c', 't_a' ), 't_a' ), 'v_d', 't_a' ) )] ), substitution( 1, [ :=( X,
% 0.71/1.14 'c_HOL_Oinverse'( 'v_c', 't_a' ) ), :=( Y, 'v_x'( 'c_times'( 'c_HOL_Oabs'(
% 0.71/1.14 'c_HOL_Oinverse'( 'v_c', 't_a' ), 't_a' ), 'v_d', 't_a' ) ) )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 64, [] )
% 0.71/1.14 , clause( 129, [] )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 end.
% 0.71/1.14
% 0.71/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.14
% 0.71/1.14 Memory use:
% 0.71/1.14
% 0.71/1.14 space for terms: 1425
% 0.71/1.14 space for clauses: 5920
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 clauses generated: 802
% 0.71/1.14 clauses kept: 65
% 0.71/1.14 clauses selected: 56
% 0.71/1.14 clauses deleted: 3
% 0.71/1.14 clauses inuse deleted: 0
% 0.71/1.14
% 0.71/1.14 subsentry: 322
% 0.71/1.14 literals s-matched: 220
% 0.71/1.14 literals matched: 220
% 0.71/1.14 full subsumption: 4
% 0.71/1.14
% 0.71/1.14 checksum: -374001261
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Bliksem ended
%------------------------------------------------------------------------------