TSTP Solution File: ANA029-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA029-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 18:38:31 EDT 2022
% Result : Unsatisfiable 0.86s 1.30s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : ANA029-2 : TPTP v8.1.0. Released v3.2.0.
% 0.01/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Fri Jul 8 03:56:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.86/1.30 *** allocated 10000 integers for termspace/termends
% 0.86/1.30 *** allocated 10000 integers for clauses
% 0.86/1.30 *** allocated 10000 integers for justifications
% 0.86/1.30 Bliksem 1.12
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Automatic Strategy Selection
% 0.86/1.30
% 0.86/1.30 Clauses:
% 0.86/1.30 [
% 0.86/1.30 [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'( 'v_x' ),
% 0.86/1.30 't_b' ), 't_b' ) ) ],
% 0.86/1.30 [ ~( 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( 'v_x' ),
% 0.86/1.30 'v_k'( 'v_x' ), 't_b' ), 'c_0', 't_b' ), 'c_HOL_Oabs'( 'c_minus'( 'v_f'(
% 0.86/1.30 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ],
% 0.86/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.86/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.30 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 0.86/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.86/1.30 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 0.86/1.30 , X ) ],
% 0.86/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.86/1.30 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 0.86/1.30 , X ) ],
% 0.86/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_less'( Y, Z, X ),
% 0.86/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.30 , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T,
% 0.86/1.30 Y, X ), Z, X ) ],
% 0.86/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.30 ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ],
% 0.86/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ),
% 0.86/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.30 'class_Orderings_Oorder'( X ) ],
% 0.86/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_OrderedGroup_Opordered__ab__group__add'( X ) ]
% 0.86/1.30 ] .
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 percentage equality = 0.000000, percentage horn = 0.928571
% 0.86/1.30 This is a near-Horn, non-equality problem
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Options Used:
% 0.86/1.30
% 0.86/1.30 useres = 1
% 0.86/1.30 useparamod = 0
% 0.86/1.30 useeqrefl = 0
% 0.86/1.30 useeqfact = 0
% 0.86/1.30 usefactor = 1
% 0.86/1.30 usesimpsplitting = 0
% 0.86/1.30 usesimpdemod = 0
% 0.86/1.30 usesimpres = 4
% 0.86/1.30
% 0.86/1.30 resimpinuse = 1000
% 0.86/1.30 resimpclauses = 20000
% 0.86/1.30 substype = standard
% 0.86/1.30 backwardsubs = 1
% 0.86/1.30 selectoldest = 5
% 0.86/1.30
% 0.86/1.30 litorderings [0] = split
% 0.86/1.30 litorderings [1] = liftord
% 0.86/1.30
% 0.86/1.30 termordering = none
% 0.86/1.30
% 0.86/1.30 litapriori = 1
% 0.86/1.30 termapriori = 0
% 0.86/1.30 litaposteriori = 0
% 0.86/1.30 termaposteriori = 0
% 0.86/1.30 demodaposteriori = 0
% 0.86/1.30 ordereqreflfact = 0
% 0.86/1.30
% 0.86/1.30 litselect = negative
% 0.86/1.30
% 0.86/1.30 maxweight = 30000
% 0.86/1.30 maxdepth = 30000
% 0.86/1.30 maxlength = 115
% 0.86/1.30 maxnrvars = 195
% 0.86/1.30 excuselevel = 0
% 0.86/1.30 increasemaxweight = 0
% 0.86/1.30
% 0.86/1.30 maxselected = 10000000
% 0.86/1.30 maxnrclauses = 10000000
% 0.86/1.30
% 0.86/1.30 showgenerated = 0
% 0.86/1.30 showkept = 0
% 0.86/1.30 showselected = 0
% 0.86/1.30 showdeleted = 0
% 0.86/1.30 showresimp = 1
% 0.86/1.30 showstatus = 2000
% 0.86/1.30
% 0.86/1.30 prologoutput = 1
% 0.86/1.30 nrgoals = 5000000
% 0.86/1.30 totalproof = 1
% 0.86/1.30
% 0.86/1.30 Symbols occurring in the translation:
% 0.86/1.30
% 0.86/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.30 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.86/1.30 ! [4, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.86/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.30 'c_0' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.86/1.30 'v_x' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.86/1.30 'v_f' [41, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.86/1.30 'v_k' [42, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.86/1.30 't_b' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.86/1.30 'c_minus' [44, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.86/1.30 'c_lessequals' [45, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.86/1.30 'c_Orderings_Omax' [46, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.86/1.30 'v_g' [47, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.86/1.30 'c_HOL_Oabs' [48, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom' [49, 1] (w:1, o:28, a:1, s:1
% 0.86/1.30 , b:0),
% 0.86/1.30 'class_OrderedGroup_Olordered__ab__group__abs' [51, 1] (w:1, o:29, a:
% 0.86/1.30 1, s:1, b:0),
% 0.86/1.30 'class_OrderedGroup_Opordered__ab__group__add' [53, 1] (w:1, o:30, a:
% 0.86/1.30 1, s:1, b:0),
% 0.86/1.30 'class_Orderings_Olinorder' [55, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.86/1.30 'c_less' [58, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.86/1.30 'class_Orderings_Oorder' [61, 1] (w:1, o:32, a:1, s:1, b:0).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Starting Search:
% 0.86/1.30
% 0.86/1.30 Resimplifying inuse:
% 0.86/1.30 Done
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Intermediate Status:
% 0.86/1.30 Generated: 2806
% 0.86/1.30 Kept: 2010
% 0.86/1.30 Inuse: 139
% 0.86/1.30 Deleted: 1
% 0.86/1.30 Deletedinuse: 0
% 0.86/1.30
% 0.86/1.30 Resimplifying inuse:
% 0.86/1.30 Done
% 0.86/1.30
% 0.86/1.30 Resimplifying inuse:
% 0.86/1.30 Done
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Intermediate Status:
% 0.86/1.30 Generated: 6007
% 0.86/1.30 Kept: 4068
% 0.86/1.30 Inuse: 192
% 0.86/1.30 Deleted: 1
% 0.86/1.30 Deletedinuse: 0
% 0.86/1.30
% 0.86/1.30 Resimplifying inuse:
% 0.86/1.30 Done
% 0.86/1.30
% 0.86/1.30 Resimplifying inuse:
% 0.86/1.30 Done
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Intermediate Status:
% 0.86/1.30 Generated: 9005
% 0.86/1.30 Kept: 6085
% 0.86/1.30 Inuse: 227
% 0.86/1.30 Deleted: 1
% 0.86/1.30 Deletedinuse: 0
% 0.86/1.30
% 0.86/1.30 Resimplifying inuse:
% 0.86/1.30 Done
% 0.86/1.30
% 0.86/1.30 Resimplifying inuse:
% 0.86/1.30 Done
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Intermediate Status:
% 0.86/1.30 Generated: 11923
% 0.86/1.30 Kept: 8088
% 0.86/1.30 Inuse: 280
% 0.86/1.30 Deleted: 4
% 0.86/1.30 Deletedinuse: 0
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Bliksems!, er is een bewijs:
% 0.86/1.30 % SZS status Unsatisfiable
% 0.86/1.30 % SZS output start Refutation
% 0.86/1.30
% 0.86/1.30 clause( 0, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'(
% 0.86/1.30 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 1, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( 'v_x'
% 0.86/1.30 ), 'v_k'( 'v_x' ), 't_b' ), 'c_0', 't_b' ), 'c_HOL_Oabs'( 'c_minus'(
% 0.86/1.30 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 3, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.86/1.30 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 6, [ 'c_less'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 0.86/1.30 'class_Orderings_Olinorder'( X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 7, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.86/1.30 , X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T, Y, X ), Z, X ), ~(
% 0.86/1.30 'c_lessequals'( T, Z, X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 8, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.86/1.30 ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 9, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X )
% 0.86/1.30 , ~( 'c_less'( Y, Z, X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 10, [ 'class_Orderings_Oorder'( X ), ~(
% 0.86/1.30 'class_OrderedGroup_Opordered__ab__group__add'( X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 11, [ 'class_Orderings_Olinorder'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 12, [ 'class_OrderedGroup_Olordered__ab__group__abs'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 13, [ 'class_OrderedGroup_Opordered__ab__group__add'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 15, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 16, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 17, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 18, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 19, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 20, [ 'c_lessequals'( Y, X, 't_b' ), 'c_less'( X, Y, 't_b' ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 21, [ 'c_lessequals'( Y, X, 't_b' ), 'c_lessequals'( X, Y, 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 39, [ 'c_lessequals'( 'c_Orderings_Omax'( Z, X, 't_b' ), Y, 't_b' )
% 0.86/1.30 , 'c_lessequals'( Y, Z, 't_b' ), ~( 'c_lessequals'( X, Y, 't_b' ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 79, [ 'c_lessequals'( 'c_0', Y, 't_b' ), ~( 'c_lessequals'(
% 0.86/1.30 'c_HOL_Oabs'( X, 't_b' ), Y, 't_b' ) ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 669, [ 'c_lessequals'( 'c_HOL_Oabs'( Y, 't_b' ), X, 't_b' ),
% 0.86/1.30 'c_lessequals'( 'c_Orderings_Omax'( X, 'c_0', 't_b' ), 'c_HOL_Oabs'( Y,
% 0.86/1.30 't_b' ), 't_b' ) ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 8328, [ 'c_lessequals'( 'c_0', X, 't_b' ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( X, 'c_0', 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 .
% 0.86/1.30 clause( 8376, [] )
% 0.86/1.30 .
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 % SZS output end Refutation
% 0.86/1.30 found a proof!
% 0.86/1.30
% 0.86/1.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.30
% 0.86/1.30 initialclauses(
% 0.86/1.30 [ clause( 8378, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ),
% 0.86/1.30 'v_k'( 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 , clause( 8379, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'(
% 0.86/1.30 'v_x' ), 'v_k'( 'v_x' ), 't_b' ), 'c_0', 't_b' ), 'c_HOL_Oabs'( 'c_minus'(
% 0.86/1.30 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 , clause( 8380, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.86/1.30 , clause( 8381, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.86/1.30 , 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.86/1.30 , clause( 8382, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.86/1.30 , ~( 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'(
% 0.86/1.30 Y, Z, X ) ] )
% 0.86/1.30 , clause( 8383, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.86/1.30 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ),
% 0.86/1.30 'c_0', X ) ] )
% 0.86/1.30 , clause( 8384, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_less'( Y, Z, X
% 0.86/1.30 ), 'c_lessequals'( Z, Y, X ) ] )
% 0.86/1.30 , clause( 8385, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.30 Y, Z, X ) ), ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( T, Y, X ), Z, X ) ] )
% 0.86/1.30 , clause( 8386, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 0.86/1.30 , Z, X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ]
% 0.86/1.30 )
% 0.86/1.30 , clause( 8387, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X
% 0.86/1.30 ) ), 'c_lessequals'( Y, Z, X ) ] )
% 0.86/1.30 , clause( 8388, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.86/1.30 , 'class_Orderings_Oorder'( X ) ] )
% 0.86/1.30 , clause( 8389, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_Orderings_Olinorder'( X ) ] )
% 0.86/1.30 , clause( 8390, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.86/1.30 , clause( 8391, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.86/1.30 ] ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 0, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'(
% 0.86/1.30 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 , clause( 8378, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ),
% 0.86/1.30 'v_k'( 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 1, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( 'v_x'
% 0.86/1.30 ), 'v_k'( 'v_x' ), 't_b' ), 'c_0', 't_b' ), 'c_HOL_Oabs'( 'c_minus'(
% 0.86/1.30 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 , clause( 8379, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'(
% 0.86/1.30 'v_x' ), 'v_k'( 'v_x' ), 't_b' ), 'c_0', 't_b' ), 'c_HOL_Oabs'( 'c_minus'(
% 0.86/1.30 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.86/1.30 , clause( 8380, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.86/1.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 3, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.86/1.30 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.86/1.30 , clause( 8381, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.86/1.30 , 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.86/1.30 ), ==>( 1, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 6, [ 'c_less'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 0.86/1.30 'class_Orderings_Olinorder'( X ) ) ] )
% 0.86/1.30 , clause( 8384, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_less'( Y, Z, X
% 0.86/1.30 ), 'c_lessequals'( Z, Y, X ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.30 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 7, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.86/1.30 , X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T, Y, X ), Z, X ), ~(
% 0.86/1.30 'c_lessequals'( T, Z, X ) ) ] )
% 0.86/1.30 , clause( 8385, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.30 Y, Z, X ) ), ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( T, Y, X ), Z, X ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.30 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.86/1.30 ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 8, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.86/1.30 ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.86/1.30 , clause( 8386, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 0.86/1.30 , Z, X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ]
% 0.86/1.30 )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.30 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.86/1.30 ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 9, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X )
% 0.86/1.30 , ~( 'c_less'( Y, Z, X ) ) ] )
% 0.86/1.30 , clause( 8387, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X
% 0.86/1.30 ) ), 'c_lessequals'( Y, Z, X ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.30 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 10, [ 'class_Orderings_Oorder'( X ), ~(
% 0.86/1.30 'class_OrderedGroup_Opordered__ab__group__add'( X ) ) ] )
% 0.86/1.30 , clause( 8388, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.86/1.30 , 'class_Orderings_Oorder'( X ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.30 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 11, [ 'class_Orderings_Olinorder'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 , clause( 8389, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_Orderings_Olinorder'( X ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.30 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 12, [ 'class_OrderedGroup_Olordered__ab__group__abs'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 , clause( 8390, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.30 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 13, [ 'class_OrderedGroup_Opordered__ab__group__add'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 , clause( 8391, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.30 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.30 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8405, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ]
% 0.86/1.30 )
% 0.86/1.30 , clause( 13, [ 'class_OrderedGroup_Opordered__ab__group__add'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 15, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.86/1.30 , clause( 8405, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ]
% 0.86/1.30 )
% 0.86/1.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8406, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.86/1.30 )
% 0.86/1.30 , clause( 12, [ 'class_OrderedGroup_Olordered__ab__group__abs'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 16, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.86/1.30 , clause( 8406, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.86/1.30 )
% 0.86/1.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8407, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.86/1.30 , clause( 11, [ 'class_Orderings_Olinorder'( X ), ~(
% 0.86/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.86/1.30 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 17, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.86/1.30 , clause( 8407, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.86/1.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8408, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.86/1.30 , clause( 10, [ 'class_Orderings_Oorder'( X ), ~(
% 0.86/1.30 'class_OrderedGroup_Opordered__ab__group__add'( X ) ) ] )
% 0.86/1.30 , 1, clause( 15, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 18, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.86/1.30 , clause( 8408, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.86/1.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8409, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ]
% 0.86/1.30 )
% 0.86/1.30 , clause( 3, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.86/1.30 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.86/1.30 , 1, clause( 16, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X )] ), substitution( 1, [] )
% 0.86/1.30 ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 19, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.86/1.30 , clause( 8409, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8410, [ 'c_less'( X, Y, 't_b' ), 'c_lessequals'( Y, X, 't_b' ) ] )
% 0.86/1.30 , clause( 6, [ 'c_less'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 0.86/1.30 'class_Orderings_Olinorder'( X ) ) ] )
% 0.86/1.30 , 2, clause( 17, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y )] ),
% 0.86/1.30 substitution( 1, [] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 20, [ 'c_lessequals'( Y, X, 't_b' ), 'c_less'( X, Y, 't_b' ) ] )
% 0.86/1.30 , clause( 8410, [ 'c_less'( X, Y, 't_b' ), 'c_lessequals'( Y, X, 't_b' ) ]
% 0.86/1.30 )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.86/1.30 ), ==>( 1, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8411, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), 'c_lessequals'( X,
% 0.86/1.30 Y, 't_b' ), 'c_lessequals'( Y, X, 't_b' ) ] )
% 0.86/1.30 , clause( 9, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X
% 0.86/1.30 ), ~( 'c_less'( Y, Z, X ) ) ] )
% 0.86/1.30 , 2, clause( 20, [ 'c_lessequals'( Y, X, 't_b' ), 'c_less'( X, Y, 't_b' ) ]
% 0.86/1.30 )
% 0.86/1.30 , 1, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y )] ),
% 0.86/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8414, [ 'c_lessequals'( X, Y, 't_b' ), 'c_lessequals'( Y, X, 't_b'
% 0.86/1.30 ) ] )
% 0.86/1.30 , clause( 8411, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), 'c_lessequals'( X
% 0.86/1.30 , Y, 't_b' ), 'c_lessequals'( Y, X, 't_b' ) ] )
% 0.86/1.30 , 0, clause( 18, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.86/1.30 ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 21, [ 'c_lessequals'( Y, X, 't_b' ), 'c_lessequals'( X, Y, 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , clause( 8414, [ 'c_lessequals'( X, Y, 't_b' ), 'c_lessequals'( Y, X,
% 0.86/1.30 't_b' ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.30 ), ==>( 1, 1 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8417, [ ~( 'class_Orderings_Olinorder'( 't_b' ) ), ~(
% 0.86/1.30 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_Orderings_Omax'( Z, X
% 0.86/1.30 , 't_b' ), Y, 't_b' ), 'c_lessequals'( Y, Z, 't_b' ) ] )
% 0.86/1.30 , clause( 7, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y
% 0.86/1.30 , Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T, Y, X ), Z, X ), ~(
% 0.86/1.30 'c_lessequals'( T, Z, X ) ) ] )
% 0.86/1.30 , 3, clause( 21, [ 'c_lessequals'( Y, X, 't_b' ), 'c_lessequals'( X, Y,
% 0.86/1.30 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.86/1.30 , substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8419, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( Z, X, 't_b' ), Y, 't_b' ), 'c_lessequals'( Y, Z,
% 0.86/1.30 't_b' ) ] )
% 0.86/1.30 , clause( 8417, [ ~( 'class_Orderings_Olinorder'( 't_b' ) ), ~(
% 0.86/1.30 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_Orderings_Omax'( Z, X
% 0.86/1.30 , 't_b' ), Y, 't_b' ), 'c_lessequals'( Y, Z, 't_b' ) ] )
% 0.86/1.30 , 0, clause( 17, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.30 substitution( 1, [] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 39, [ 'c_lessequals'( 'c_Orderings_Omax'( Z, X, 't_b' ), Y, 't_b' )
% 0.86/1.30 , 'c_lessequals'( Y, Z, 't_b' ), ~( 'c_lessequals'( X, Y, 't_b' ) ) ] )
% 0.86/1.30 , clause( 8419, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( Z, X, 't_b' ), Y, 't_b' ), 'c_lessequals'( Y, Z,
% 0.86/1.30 't_b' ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.30 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8421, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.86/1.30 'c_HOL_Oabs'( X, 't_b' ), Y, 't_b' ) ), 'c_lessequals'( 'c_0', Y, 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , clause( 8, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.86/1.30 , X ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.86/1.30 , 3, clause( 19, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'c_HOL_Oabs'( X, 't_b' ) ),
% 0.86/1.30 :=( Z, Y ), :=( T, 'c_0' )] ), substitution( 1, [ :=( X, X )] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8423, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( X, 't_b' ), Y, 't_b' ) ),
% 0.86/1.30 'c_lessequals'( 'c_0', Y, 't_b' ) ] )
% 0.86/1.30 , clause( 8421, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.86/1.30 'c_HOL_Oabs'( X, 't_b' ), Y, 't_b' ) ), 'c_lessequals'( 'c_0', Y, 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , 0, clause( 18, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.86/1.30 ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 79, [ 'c_lessequals'( 'c_0', Y, 't_b' ), ~( 'c_lessequals'(
% 0.86/1.30 'c_HOL_Oabs'( X, 't_b' ), Y, 't_b' ) ) ] )
% 0.86/1.30 , clause( 8423, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( X, 't_b' ), Y, 't_b' ) )
% 0.86/1.30 , 'c_lessequals'( 'c_0', Y, 't_b' ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.86/1.30 ), ==>( 1, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8424, [ 'c_lessequals'( 'c_Orderings_Omax'( X, 'c_0', 't_b' ),
% 0.86/1.30 'c_HOL_Oabs'( Y, 't_b' ), 't_b' ), 'c_lessequals'( 'c_HOL_Oabs'( Y, 't_b'
% 0.86/1.30 ), X, 't_b' ) ] )
% 0.86/1.30 , clause( 39, [ 'c_lessequals'( 'c_Orderings_Omax'( Z, X, 't_b' ), Y, 't_b'
% 0.86/1.30 ), 'c_lessequals'( Y, Z, 't_b' ), ~( 'c_lessequals'( X, Y, 't_b' ) ) ]
% 0.86/1.30 )
% 0.86/1.30 , 2, clause( 19, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, 'c_0' ), :=( Y, 'c_HOL_Oabs'( Y, 't_b' ) ),
% 0.86/1.30 :=( Z, X )] ), substitution( 1, [ :=( X, Y )] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 669, [ 'c_lessequals'( 'c_HOL_Oabs'( Y, 't_b' ), X, 't_b' ),
% 0.86/1.30 'c_lessequals'( 'c_Orderings_Omax'( X, 'c_0', 't_b' ), 'c_HOL_Oabs'( Y,
% 0.86/1.30 't_b' ), 't_b' ) ] )
% 0.86/1.30 , clause( 8424, [ 'c_lessequals'( 'c_Orderings_Omax'( X, 'c_0', 't_b' ),
% 0.86/1.30 'c_HOL_Oabs'( Y, 't_b' ), 't_b' ), 'c_lessequals'( 'c_HOL_Oabs'( Y, 't_b'
% 0.86/1.30 ), X, 't_b' ) ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.86/1.30 ), ==>( 1, 0 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8425, [ 'c_lessequals'( 'c_0', X, 't_b' ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( X, 'c_0', 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , clause( 79, [ 'c_lessequals'( 'c_0', Y, 't_b' ), ~( 'c_lessequals'(
% 0.86/1.30 'c_HOL_Oabs'( X, 't_b' ), Y, 't_b' ) ) ] )
% 0.86/1.30 , 1, clause( 669, [ 'c_lessequals'( 'c_HOL_Oabs'( Y, 't_b' ), X, 't_b' ),
% 0.86/1.30 'c_lessequals'( 'c_Orderings_Omax'( X, 'c_0', 't_b' ), 'c_HOL_Oabs'( Y,
% 0.86/1.30 't_b' ), 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.86/1.30 , X ), :=( Y, Y )] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 8328, [ 'c_lessequals'( 'c_0', X, 't_b' ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( X, 'c_0', 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , clause( 8425, [ 'c_lessequals'( 'c_0', X, 't_b' ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( X, 'c_0', 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.30 ), ==>( 1, 1 )] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8426, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'(
% 0.86/1.30 'v_x' ), 't_b' ), 't_b' ) ] )
% 0.86/1.30 , clause( 1, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'(
% 0.86/1.30 'v_x' ), 'v_k'( 'v_x' ), 't_b' ), 'c_0', 't_b' ), 'c_HOL_Oabs'( 'c_minus'(
% 0.86/1.30 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 , 0, clause( 8328, [ 'c_lessequals'( 'c_0', X, 't_b' ), 'c_lessequals'(
% 0.86/1.30 'c_Orderings_Omax'( X, 'c_0', 't_b' ), 'c_HOL_Oabs'( Y, 't_b' ), 't_b' )
% 0.86/1.30 ] )
% 0.86/1.30 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_minus'( 'v_f'(
% 0.86/1.30 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ), :=( Y, 'c_minus'( 'v_f'( 'v_x' ),
% 0.86/1.30 'v_g'( 'v_x' ), 't_b' ) )] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 resolution(
% 0.86/1.30 clause( 8427, [] )
% 0.86/1.30 , clause( 0, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'(
% 0.86/1.30 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.86/1.30 , 0, clause( 8426, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ),
% 0.86/1.30 'v_k'( 'v_x' ), 't_b' ), 't_b' ) ] )
% 0.86/1.30 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 subsumption(
% 0.86/1.30 clause( 8376, [] )
% 0.86/1.30 , clause( 8427, [] )
% 0.86/1.30 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 end.
% 0.86/1.30
% 0.86/1.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.30
% 0.86/1.30 Memory use:
% 0.86/1.30
% 0.86/1.30 space for terms: 177039
% 0.86/1.30 space for clauses: 583198
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 clauses generated: 12296
% 0.86/1.30 clauses kept: 8377
% 0.86/1.30 clauses selected: 294
% 0.86/1.30 clauses deleted: 5
% 0.86/1.30 clauses inuse deleted: 0
% 0.86/1.30
% 0.86/1.30 subsentry: 282612
% 0.86/1.30 literals s-matched: 107470
% 0.86/1.30 literals matched: 83424
% 0.86/1.30 full subsumption: 65157
% 0.86/1.30
% 0.86/1.30 checksum: -1964594160
% 0.86/1.30
% 0.86/1.30
% 0.86/1.30 Bliksem ended
%------------------------------------------------------------------------------