TSTP Solution File: ANA018-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 18:38:17 EDT 2022
% Result : Unsatisfiable 0.75s 1.29s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jul 8 02:59:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.75/1.29 *** allocated 10000 integers for termspace/termends
% 0.75/1.29 *** allocated 10000 integers for clauses
% 0.75/1.29 *** allocated 10000 integers for justifications
% 0.75/1.29 Bliksem 1.12
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 Automatic Strategy Selection
% 0.75/1.29
% 0.75/1.29 Clauses:
% 0.75/1.29 [
% 0.75/1.29 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 'c_times'( 'v_c',
% 0.75/1.29 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ],
% 0.75/1.29 [ 'c_less'( 'c_0', 'v_ca', 't_b' ) ],
% 0.75/1.29 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'( 'v_ca',
% 0.75/1.29 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ],
% 0.75/1.29 [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( 'v_xa' ), 't_b' ), 'c_times'(
% 0.75/1.29 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( 'v_xa' ), 't_b' )
% 0.75/1.29 , 't_b' ), 't_b' ) ) ],
% 0.75/1.29 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.75/1.29 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.75/1.29 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X ), X ) ) ]
% 0.75/1.29 ,
% 0.75/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.75/1.29 ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ],
% 0.75/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ),
% 0.75/1.29 'c_lessequals'( Y, Z, X ) ],
% 0.75/1.29 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.75/1.29 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.75/1.29 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ],
% 0.75/1.29 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.75/1.29 X ) ],
% 0.75/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.75/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.75/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_Ring__and__Field_Opordered__semiring'( X ) ]
% 0.75/1.29 ] .
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 percentage equality = 0.038462, percentage horn = 1.000000
% 0.75/1.29 This is a problem with some equality
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 Options Used:
% 0.75/1.29
% 0.75/1.29 useres = 1
% 0.75/1.29 useparamod = 1
% 0.75/1.29 useeqrefl = 1
% 0.75/1.29 useeqfact = 1
% 0.75/1.29 usefactor = 1
% 0.75/1.29 usesimpsplitting = 0
% 0.75/1.29 usesimpdemod = 5
% 0.75/1.29 usesimpres = 3
% 0.75/1.29
% 0.75/1.29 resimpinuse = 1000
% 0.75/1.29 resimpclauses = 20000
% 0.75/1.29 substype = eqrewr
% 0.75/1.29 backwardsubs = 1
% 0.75/1.29 selectoldest = 5
% 0.75/1.29
% 0.75/1.29 litorderings [0] = split
% 0.75/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.29
% 0.75/1.29 termordering = kbo
% 0.75/1.29
% 0.75/1.29 litapriori = 0
% 0.75/1.29 termapriori = 1
% 0.75/1.29 litaposteriori = 0
% 0.75/1.29 termaposteriori = 0
% 0.75/1.29 demodaposteriori = 0
% 0.75/1.29 ordereqreflfact = 0
% 0.75/1.29
% 0.75/1.29 litselect = negord
% 0.75/1.29
% 0.75/1.29 maxweight = 15
% 0.75/1.29 maxdepth = 30000
% 0.75/1.29 maxlength = 115
% 0.75/1.29 maxnrvars = 195
% 0.75/1.29 excuselevel = 1
% 0.75/1.29 increasemaxweight = 1
% 0.75/1.29
% 0.75/1.29 maxselected = 10000000
% 0.75/1.29 maxnrclauses = 10000000
% 0.75/1.29
% 0.75/1.29 showgenerated = 0
% 0.75/1.29 showkept = 0
% 0.75/1.29 showselected = 0
% 0.75/1.29 showdeleted = 0
% 0.75/1.29 showresimp = 1
% 0.75/1.29 showstatus = 2000
% 0.75/1.29
% 0.75/1.29 prologoutput = 1
% 0.75/1.29 nrgoals = 5000000
% 0.75/1.29 totalproof = 1
% 0.75/1.29
% 0.75/1.29 Symbols occurring in the translation:
% 0.75/1.29
% 0.75/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.29 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.75/1.29 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.75/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.29 'v_f' [40, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.75/1.29 't_b' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.75/1.29 'c_HOL_Oabs' [42, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.75/1.29 'v_c' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.75/1.29 'v_g' [44, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.75/1.29 'c_times' [45, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.75/1.29 'c_lessequals' [46, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.75/1.29 'c_0' [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.29 'v_ca' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.29 'c_less' [49, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.75/1.29 'v_x' [50, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.75/1.29 'v_xa' [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.29 'class_Ring__and__Field_Oordered__idom' [52, 1] (w:1, o:31, a:1, s:1
% 0.75/1.29 , b:0),
% 0.75/1.29 'class_OrderedGroup_Osemigroup__mult' [54, 1] (w:1, o:32, a:1, s:1
% 0.75/1.29 , b:0),
% 0.75/1.29 'class_Orderings_Oorder' [58, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.75/1.29 'class_Ring__and__Field_Opordered__semiring' [62, 1] (w:1, o:34, a:1
% 0.75/1.29 , s:1, b:0),
% 0.75/1.29 'class_LOrder_Ojoin__semilorder' [64, 1] (w:1, o:35, a:1, s:1, b:0)
% 0.75/1.29 .
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 Starting Search:
% 0.75/1.29
% 0.75/1.29 Resimplifying inuse:
% 0.75/1.29 Done
% 0.75/1.29
% 0.75/1.29 Failed to find proof!
% 0.75/1.29 maxweight = 15
% 0.75/1.29 maxnrclauses = 10000000
% 0.75/1.29 Generated: 4410
% 0.75/1.29 Kept: 92
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 The strategy used was not complete!
% 0.75/1.29
% 0.75/1.29 Increased maxweight to 16
% 0.75/1.29
% 0.75/1.29 Starting Search:
% 0.75/1.29
% 0.75/1.29 Resimplifying inuse:
% 0.75/1.29 Done
% 0.75/1.29
% 0.75/1.29 Failed to find proof!
% 0.75/1.29 maxweight = 16
% 0.75/1.29 maxnrclauses = 10000000
% 0.75/1.29 Generated: 13228
% 0.75/1.29 Kept: 136
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 The strategy used was not complete!
% 0.75/1.29
% 0.75/1.29 Increased maxweight to 17
% 0.75/1.29
% 0.75/1.29 Starting Search:
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 Bliksems!, er is een bewijs:
% 0.75/1.29 % SZS status Unsatisfiable
% 0.75/1.29 % SZS output start Refutation
% 0.75/1.29
% 0.75/1.29 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 1, [ 'c_less'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 2, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 3, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( 'v_xa' ), 't_b' ),
% 0.75/1.29 'c_times'( 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( 'v_xa'
% 0.75/1.29 ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 5, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.75/1.29 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 0.75/1.29 )
% 0.75/1.29 .
% 0.75/1.29 clause( 6, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.75/1.29 ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ),
% 0.75/1.29 'c_lessequals'( Y, Z, X ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 8, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.75/1.29 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.75/1.29 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 9, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 0.75/1.29 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 12, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 14, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 15, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 16, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 17, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 22, [ 'c_lessequals'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 38, [ ~( 'c_lessequals'( 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X
% 0.75/1.29 ), 't_b' ), 't_b' ), Y, 't_b' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'(
% 0.75/1.29 X ), 't_b' ), Y, 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 42, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 0.75/1.29 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 59, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.75/1.29 'v_ca', X, 't_b' ), 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 152, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'v_ca', Y, 't_b' ), 't_b' ), ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X )
% 0.75/1.29 , 't_b' ), Y, 't_b' ) ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 156, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ),
% 0.75/1.29 't_b' ), 't_b' ) ] )
% 0.75/1.29 .
% 0.75/1.29 clause( 157, [] )
% 0.75/1.29 .
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 % SZS output end Refutation
% 0.75/1.29 found a proof!
% 0.75/1.29
% 0.75/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.29
% 0.75/1.29 initialclauses(
% 0.75/1.29 [ clause( 159, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , clause( 160, [ 'c_less'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , clause( 161, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , clause( 162, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( 'v_xa' ), 't_b' )
% 0.75/1.29 , 'c_times'( 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'(
% 0.75/1.29 'v_xa' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.75/1.29 , clause( 163, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.29 , clause( 164, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.75/1.29 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 0.75/1.29 ), X ) ) ] )
% 0.75/1.29 , clause( 165, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y,
% 0.75/1.29 Z, X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.75/1.29 , clause( 166, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X )
% 0.75/1.29 ), 'c_lessequals'( Y, Z, X ) ] )
% 0.75/1.29 , clause( 167, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.75/1.29 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.75/1.29 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.75/1.29 , clause( 168, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 0.75/1.29 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.29 , clause( 169, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.75/1.29 , clause( 170, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.75/1.29 , clause( 171, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.75/1.29 ] ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.75/1.29 , clause( 159, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 1, [ 'c_less'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , clause( 160, [ 'c_less'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 2, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.75/1.29 , clause( 161, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 3, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( 'v_xa' ), 't_b' ),
% 0.75/1.29 'c_times'( 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( 'v_xa'
% 0.75/1.29 ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.75/1.29 , clause( 162, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( 'v_xa' ), 't_b' )
% 0.75/1.29 , 'c_times'( 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'(
% 0.75/1.29 'v_xa' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.29 , clause( 163, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 eqswap(
% 0.75/1.29 clause( 172, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 0.75/1.29 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 0.75/1.29 Z ) ) ] )
% 0.75/1.29 , clause( 164, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.75/1.29 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 0.75/1.29 ), X ) ) ] )
% 0.75/1.29 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.75/1.29 ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 5, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.75/1.29 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 0.75/1.29 )
% 0.75/1.29 , clause( 172, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 0.75/1.29 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 0.75/1.29 Z ) ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 0.75/1.29 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 6, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.75/1.29 ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.75/1.29 , clause( 165, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y,
% 0.75/1.29 Z, X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.75/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.75/1.29 ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ),
% 0.75/1.29 'c_lessequals'( Y, Z, X ) ] )
% 0.75/1.29 , clause( 166, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X )
% 0.75/1.29 ), 'c_lessequals'( Y, Z, X ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 8, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.75/1.29 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.75/1.29 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.75/1.29 , clause( 167, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.75/1.29 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.75/1.29 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.75/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.75/1.29 ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 9, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 0.75/1.29 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.29 , clause( 168, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 0.75/1.29 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.29 1 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.75/1.29 , clause( 169, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.29 1 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.75/1.29 , clause( 170, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.29 1 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 12, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.75/1.29 , clause( 171, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.29 1 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 192, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.75/1.29 , clause( 12, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.75/1.29 , 0, clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 14, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.75/1.29 , clause( 192, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 193, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.75/1.29 , clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.75/1.29 , 0, clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 15, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.75/1.29 , clause( 193, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 194, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.75/1.29 , clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.29 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.75/1.29 , 0, clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 16, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.75/1.29 , clause( 194, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 195, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.75/1.29 , clause( 9, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 0.75/1.29 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.29 , 0, clause( 15, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 17, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.75/1.29 , clause( 195, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 196, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), 'c_lessequals'(
% 0.75/1.29 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 0.75/1.29 , 'c_lessequals'( Y, Z, X ) ] )
% 0.75/1.29 , 1, clause( 1, [ 'c_less'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'c_0' ), :=( Z, 'v_ca' )] )
% 0.75/1.29 , substitution( 1, [] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 197, [ 'c_lessequals'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , clause( 196, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), 'c_lessequals'(
% 0.75/1.29 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , 0, clause( 17, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 22, [ 'c_lessequals'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , clause( 197, [ 'c_lessequals'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 199, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.75/1.29 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), Y, 't_b' )
% 0.75/1.29 ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), Y, 't_b' ) ] )
% 0.75/1.29 , clause( 6, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.75/1.29 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.75/1.29 , 2, clause( 2, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'c_times'( 'v_ca',
% 0.75/1.29 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ) ), :=( Z, Y ), :=( T,
% 0.75/1.29 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ) )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.29 ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 201, [ ~( 'c_lessequals'( 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X
% 0.75/1.29 ), 't_b' ), 't_b' ), Y, 't_b' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'(
% 0.75/1.29 X ), 't_b' ), Y, 't_b' ) ] )
% 0.75/1.29 , clause( 199, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.75/1.29 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ), 't_b' ), Y, 't_b' )
% 0.75/1.29 ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), Y, 't_b' ) ] )
% 0.75/1.29 , 0, clause( 17, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.75/1.29 ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 38, [ ~( 'c_lessequals'( 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'( X
% 0.75/1.29 ), 't_b' ), 't_b' ), Y, 't_b' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'(
% 0.75/1.29 X ), 't_b' ), Y, 't_b' ) ] )
% 0.75/1.29 , clause( 201, [ ~( 'c_lessequals'( 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'(
% 0.75/1.29 X ), 't_b' ), 't_b' ), Y, 't_b' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'(
% 0.75/1.29 X ), 't_b' ), Y, 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.29 ), ==>( 1, 1 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 eqswap(
% 0.75/1.29 clause( 202, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 0.75/1.29 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 0.75/1.29 ) ) ] )
% 0.75/1.29 , clause( 5, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.75/1.29 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X )
% 0.75/1.29 , T, X ) ) ] )
% 0.75/1.29 , 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.75/1.29 ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 203, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 0.75/1.29 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ) ) ] )
% 0.75/1.29 , clause( 202, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 0.75/1.29 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 0.75/1.29 ) ) ] )
% 0.75/1.29 , 1, clause( 16, [ 'class_OrderedGroup_Osemigroup__mult'( 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 't_b' )] )
% 0.75/1.29 , substitution( 1, [] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 eqswap(
% 0.75/1.29 clause( 204, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 0.75/1.29 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.75/1.29 , clause( 203, [ =( 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ),
% 0.75/1.29 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ) ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 42, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ), 'c_times'(
% 0.75/1.29 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.75/1.29 , clause( 204, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 0.75/1.29 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 206, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ),
% 0.75/1.29 ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'( 'v_ca', X
% 0.75/1.29 , 't_b' ), 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ) ] )
% 0.75/1.29 , clause( 8, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.75/1.29 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.75/1.29 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ] )
% 0.75/1.29 , 2, clause( 22, [ 'c_lessequals'( 'c_0', 'v_ca', 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y ), :=( T,
% 0.75/1.29 'v_ca' )] ), substitution( 1, [] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 208, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.75/1.29 'c_times'( 'v_ca', X, 't_b' ), 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , clause( 206, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) )
% 0.75/1.29 , ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'( 'v_ca',
% 0.75/1.29 X, 't_b' ), 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ) ] )
% 0.75/1.29 , 0, clause( 14, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.75/1.29 ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 59, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_times'(
% 0.75/1.29 'v_ca', X, 't_b' ), 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ) ] )
% 0.75/1.29 , clause( 208, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.75/1.29 'c_times'( 'v_ca', X, 't_b' ), 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.29 ), ==>( 1, 1 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 209, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'v_ca', Y, 't_b' ), 't_b' ), ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X )
% 0.75/1.29 , 't_b' ), Y, 't_b' ) ) ] )
% 0.75/1.29 , clause( 38, [ ~( 'c_lessequals'( 'c_times'( 'v_ca', 'c_HOL_Oabs'( 'v_f'(
% 0.75/1.29 X ), 't_b' ), 't_b' ), Y, 't_b' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'(
% 0.75/1.29 X ), 't_b' ), Y, 't_b' ) ] )
% 0.75/1.29 , 0, clause( 59, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.75/1.29 'c_times'( 'v_ca', X, 't_b' ), 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_times'( 'v_ca', Y, 't_b' ) )] )
% 0.75/1.29 , substitution( 1, [ :=( X, 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ) ), :=( Y, Y
% 0.75/1.29 )] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 152, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'v_ca', Y, 't_b' ), 't_b' ), ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X )
% 0.75/1.29 , 't_b' ), Y, 't_b' ) ) ] )
% 0.75/1.29 , clause( 209, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ), ~( 'c_lessequals'( 'c_HOL_Oabs'(
% 0.75/1.29 'v_f'( X ), 't_b' ), Y, 't_b' ) ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.29 ), ==>( 1, 1 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 211, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'v_ca', 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ),
% 0.75/1.29 't_b' ), 't_b' ) ] )
% 0.75/1.29 , clause( 152, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_ca', Y, 't_b' ), 't_b' ), ~( 'c_lessequals'( 'c_HOL_Oabs'(
% 0.75/1.29 'v_f'( X ), 't_b' ), Y, 't_b' ) ) ] )
% 0.75/1.29 , 1, clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.75/1.29 )
% 0.75/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.75/1.29 'v_g'( X ), 't_b' ), 't_b' ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 paramod(
% 0.75/1.29 clause( 212, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ),
% 0.75/1.29 't_b' ), 't_b' ) ] )
% 0.75/1.29 , clause( 42, [ =( 'c_times'( X, 'c_times'( Y, Z, 't_b' ), 't_b' ),
% 0.75/1.29 'c_times'( 'c_times'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.75/1.29 , 0, clause( 211, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'v_ca', 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ),
% 0.75/1.29 't_b' ), 't_b' ), 't_b' ) ] )
% 0.75/1.29 , 0, 5, substitution( 0, [ :=( X, 'v_ca' ), :=( Y, 'v_c' ), :=( Z,
% 0.75/1.29 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ) )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.29 ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 156, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ), 'c_times'(
% 0.75/1.29 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( X ), 't_b' ),
% 0.75/1.29 't_b' ), 't_b' ) ] )
% 0.75/1.29 , clause( 212, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( X ),
% 0.75/1.29 't_b' ), 't_b' ), 't_b' ) ] )
% 0.75/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 resolution(
% 0.75/1.29 clause( 213, [] )
% 0.75/1.29 , clause( 3, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( 'v_xa' ), 't_b' ),
% 0.75/1.29 'c_times'( 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( 'v_xa'
% 0.75/1.29 ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.75/1.29 , 0, clause( 156, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_x'( X ), 't_b' ),
% 0.75/1.29 'c_times'( 'c_times'( 'v_ca', 'v_c', 't_b' ), 'c_HOL_Oabs'( 'v_g'( X ),
% 0.75/1.29 't_b' ), 't_b' ), 't_b' ) ] )
% 0.75/1.29 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xa' )] )).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 subsumption(
% 0.75/1.29 clause( 157, [] )
% 0.75/1.29 , clause( 213, [] )
% 0.75/1.29 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 end.
% 0.75/1.29
% 0.75/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.29
% 0.75/1.29 Memory use:
% 0.75/1.29
% 0.75/1.29 space for terms: 2944
% 0.75/1.29 space for clauses: 8935
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 clauses generated: 14312
% 0.75/1.29 clauses kept: 158
% 0.75/1.29 clauses selected: 142
% 0.75/1.29 clauses deleted: 2
% 0.75/1.29 clauses inuse deleted: 0
% 0.75/1.29
% 0.75/1.29 subsentry: 21639
% 0.75/1.29 literals s-matched: 19572
% 0.75/1.29 literals matched: 19572
% 0.75/1.29 full subsumption: 13936
% 0.75/1.29
% 0.75/1.29 checksum: -476387030
% 0.75/1.29
% 0.75/1.29
% 0.75/1.29 Bliksem ended
%------------------------------------------------------------------------------