TSTP Solution File: ANA039-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 18:38:42 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Fri Jul 8 06:18:15 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08 [
% 0.71/1.08 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), 'c_times'( 'v_c',
% 0.71/1.08 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ],
% 0.71/1.08 [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ), 'c_times'(
% 0.71/1.08 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_a' ),
% 0.71/1.08 't_a' ), 't_a' ) ) ],
% 0.71/1.08 [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ],
% 0.71/1.08 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.08 'c_lessequals'( Y, 'c_HOL_Oabs'( Y, X ), X ) ],
% 0.71/1.08 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.08 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 0.71/1.08 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.71/1.08 ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ],
% 0.71/1.08 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.08 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.08 'c_lessequals'( 'c_times'( Y, T, X ), 'c_times'( Z, T, X ), X ) ],
% 0.71/1.08 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.08 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.71/1.08 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.08 'class_Orderings_Oorder'( X ) ],
% 0.71/1.08 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.08 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ]
% 0.71/1.08 ] .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 percentage equality = 0.000000, percentage horn = 1.000000
% 0.71/1.08 This is a near-Horn, non-equality problem
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Options Used:
% 0.71/1.08
% 0.71/1.08 useres = 1
% 0.71/1.08 useparamod = 0
% 0.71/1.08 useeqrefl = 0
% 0.71/1.08 useeqfact = 0
% 0.71/1.08 usefactor = 1
% 0.71/1.08 usesimpsplitting = 0
% 0.71/1.08 usesimpdemod = 0
% 0.71/1.08 usesimpres = 4
% 0.71/1.08
% 0.71/1.08 resimpinuse = 1000
% 0.71/1.08 resimpclauses = 20000
% 0.71/1.08 substype = standard
% 0.71/1.08 backwardsubs = 1
% 0.71/1.08 selectoldest = 5
% 0.71/1.08
% 0.71/1.08 litorderings [0] = split
% 0.71/1.08 litorderings [1] = liftord
% 0.71/1.08
% 0.71/1.08 termordering = none
% 0.71/1.08
% 0.71/1.08 litapriori = 1
% 0.71/1.08 termapriori = 0
% 0.71/1.08 litaposteriori = 0
% 0.71/1.08 termaposteriori = 0
% 0.71/1.08 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = negative
% 0.71/1.09
% 0.71/1.09 maxweight = 30000
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 0
% 0.71/1.09 increasemaxweight = 0
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 1
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 'v_h' [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.71/1.09 't_a' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.09 'c_HOL_Oabs' [42, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.09 'v_c' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.09 'v_f' [44, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.71/1.09 'c_times' [45, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.09 'c_lessequals' [46, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.71/1.09 'v_x' [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom' [48, 1] (w:1, o:29, a:1, s:1
% 0.71/1.09 , b:0),
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs' [50, 1] (w:1, o:30, a:
% 0.71/1.09 1, s:1, b:0),
% 0.71/1.09 'c_0' [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.09 'class_Orderings_Oorder' [53, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.71/1.09 'class_Ring__and__Field_Opordered__semiring' [57, 1] (w:1, o:32, a:1
% 0.71/1.09 , s:1, b:0).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), 'c_times'(
% 0.71/1.09 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 1, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ),
% 0.71/1.09 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 0.71/1.09 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 3, [ 'c_lessequals'( Y, 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 4, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 5, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.71/1.09 ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.09 'c_lessequals'( 'c_0', T, X ) ), 'c_lessequals'( 'c_times'( Y, T, X ),
% 0.71/1.09 'c_times'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 7, [ 'class_Ring__and__Field_Opordered__semiring'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 8, [ 'class_Orderings_Oorder'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 9, [ 'class_OrderedGroup_Olordered__ab__group__abs'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 11, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 12, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 14, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 15, [ 'c_lessequals'( X, 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 18, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), Y, 't_a' )
% 0.71/1.09 , ~( 'c_lessequals'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' )
% 0.71/1.09 , 't_a' ), Y, 't_a' ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 21, [ 'c_lessequals'( 'c_times'( Y, X, 't_a' ), 'c_times'(
% 0.71/1.09 'c_HOL_Oabs'( Y, 't_a' ), X, 't_a' ), 't_a' ), ~( 'c_lessequals'( 'c_0',
% 0.71/1.09 X, 't_a' ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 64, [ 'c_lessequals'( 'c_times'( X, 'c_HOL_Oabs'( Y, 't_a' ), 't_a'
% 0.71/1.09 ), 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y, 't_a' ), 't_a'
% 0.71/1.09 ), 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 66, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), 'c_times'(
% 0.71/1.09 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' )
% 0.71/1.09 , 't_a' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 76, [] )
% 0.71/1.09 .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 initialclauses(
% 0.71/1.09 [ clause( 78, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ),
% 0.71/1.09 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 79, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ),
% 0.71/1.09 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 0.71/1.09 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.71/1.09 , clause( 80, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.09 , clause( 81, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.09 'c_lessequals'( Y, 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.09 , clause( 82, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.09 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.09 , clause( 83, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.71/1.09 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.71/1.09 , clause( 84, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.09 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.09 'c_lessequals'( 'c_times'( Y, T, X ), 'c_times'( Z, T, X ), X ) ] )
% 0.71/1.09 , clause( 85, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.09 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.71/1.09 , clause( 86, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.09 'class_Orderings_Oorder'( X ) ] )
% 0.71/1.09 , clause( 87, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.09 ] ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), 'c_times'(
% 0.71/1.09 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ] )
% 0.71/1.09 , clause( 78, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ),
% 0.71/1.09 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 1, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ),
% 0.71/1.09 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 0.71/1.09 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.71/1.09 , clause( 79, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ),
% 0.71/1.09 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 0.71/1.09 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.09 , clause( 80, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 3, [ 'c_lessequals'( Y, 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.71/1.09 , clause( 81, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.09 'c_lessequals'( Y, 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.09 ), ==>( 1, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 4, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.71/1.09 , clause( 82, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.09 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.09 ), ==>( 1, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 5, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.71/1.09 ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.71/1.09 , clause( 83, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.71/1.09 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.09 'c_lessequals'( 'c_0', T, X ) ), 'c_lessequals'( 'c_times'( Y, T, X ),
% 0.71/1.09 'c_times'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.09 , clause( 84, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.09 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.71/1.09 'c_lessequals'( 'c_times'( Y, T, X ), 'c_times'( Z, T, X ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 7, [ 'class_Ring__and__Field_Opordered__semiring'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 , clause( 85, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.09 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.09 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 8, [ 'class_Orderings_Oorder'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 , clause( 86, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.09 'class_Orderings_Oorder'( X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.09 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 9, [ 'class_OrderedGroup_Olordered__ab__group__abs'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 , clause( 87, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.09 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 97, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.71/1.09 , clause( 9, [ 'class_OrderedGroup_Olordered__ab__group__abs'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 11, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.71/1.09 , clause( 97, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 98, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.71/1.09 , clause( 8, [ 'class_Orderings_Oorder'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 12, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.71/1.09 , clause( 98, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 99, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ] )
% 0.71/1.09 , clause( 7, [ 'class_Ring__and__Field_Opordered__semiring'( X ), ~(
% 0.71/1.09 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.71/1.09 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ] )
% 0.71/1.09 , clause( 99, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 100, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 4, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.71/1.09 , 1, clause( 11, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' )
% 0.71/1.09 ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, X )] ), substitution( 1, [] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 14, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.71/1.09 , clause( 100, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 101, [ 'c_lessequals'( X, 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.71/1.09 , clause( 3, [ 'c_lessequals'( Y, 'c_HOL_Oabs'( Y, X ), X ), ~(
% 0.71/1.09 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ) ] )
% 0.71/1.09 , 1, clause( 11, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' )
% 0.71/1.09 ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, X )] ), substitution( 1, [] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 15, [ 'c_lessequals'( X, 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.71/1.09 , clause( 101, [ 'c_lessequals'( X, 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 103, [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'c_lessequals'(
% 0.71/1.09 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), Y, 't_a' )
% 0.71/1.09 ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), Y, 't_a' ) ] )
% 0.71/1.09 , clause( 5, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.71/1.09 , X ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.71/1.09 , 3, clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ),
% 0.71/1.09 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), 't_a' ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, 'c_times'( 'v_c',
% 0.71/1.09 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ) ), :=( Z, Y ), :=( T,
% 0.71/1.09 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ) )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 105, [ ~( 'c_lessequals'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X
% 0.71/1.09 ), 't_a' ), 't_a' ), Y, 't_a' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'(
% 0.71/1.09 X ), 't_a' ), Y, 't_a' ) ] )
% 0.71/1.09 , clause( 103, [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'c_lessequals'(
% 0.71/1.09 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ), Y, 't_a' )
% 0.71/1.09 ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), Y, 't_a' ) ] )
% 0.71/1.09 , 0, clause( 12, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 18, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), Y, 't_a' )
% 0.71/1.09 , ~( 'c_lessequals'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a' )
% 0.71/1.09 , 't_a' ), Y, 't_a' ) ) ] )
% 0.71/1.09 , clause( 105, [ ~( 'c_lessequals'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'(
% 0.71/1.09 X ), 't_a' ), 't_a' ), Y, 't_a' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'(
% 0.71/1.09 X ), 't_a' ), Y, 't_a' ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.09 ), ==>( 1, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 107, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ),
% 0.71/1.09 ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'( 'c_times'( Y, X,
% 0.71/1.09 't_a' ), 'c_times'( 'c_HOL_Oabs'( Y, 't_a' ), X, 't_a' ), 't_a' ) ] )
% 0.71/1.09 , clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.71/1.09 'c_lessequals'( 'c_0', T, X ) ), 'c_lessequals'( 'c_times'( Y, T, X ),
% 0.71/1.09 'c_times'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.09 , 3, clause( 15, [ 'c_lessequals'( X, 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, Y ), :=( Z, 'c_HOL_Oabs'( Y
% 0.71/1.09 , 't_a' ) ), :=( T, X )] ), substitution( 1, [ :=( X, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 109, [ ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'(
% 0.71/1.09 'c_times'( Y, X, 't_a' ), 'c_times'( 'c_HOL_Oabs'( Y, 't_a' ), X, 't_a' )
% 0.71/1.09 , 't_a' ) ] )
% 0.71/1.09 , clause( 107, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) )
% 0.71/1.09 , ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'( 'c_times'( Y, X
% 0.71/1.09 , 't_a' ), 'c_times'( 'c_HOL_Oabs'( Y, 't_a' ), X, 't_a' ), 't_a' ) ] )
% 0.71/1.09 , 0, clause( 13, [ 'class_Ring__and__Field_Opordered__semiring'( 't_a' ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 21, [ 'c_lessequals'( 'c_times'( Y, X, 't_a' ), 'c_times'(
% 0.71/1.09 'c_HOL_Oabs'( Y, 't_a' ), X, 't_a' ), 't_a' ), ~( 'c_lessequals'( 'c_0',
% 0.71/1.09 X, 't_a' ) ) ] )
% 0.71/1.09 , clause( 109, [ ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'(
% 0.71/1.09 'c_times'( Y, X, 't_a' ), 'c_times'( 'c_HOL_Oabs'( Y, 't_a' ), X, 't_a' )
% 0.71/1.09 , 't_a' ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.09 ), ==>( 1, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 110, [ 'c_lessequals'( 'c_times'( X, 'c_HOL_Oabs'( Y, 't_a' ),
% 0.71/1.09 't_a' ), 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y, 't_a' ),
% 0.71/1.09 't_a' ), 't_a' ) ] )
% 0.71/1.09 , clause( 21, [ 'c_lessequals'( 'c_times'( Y, X, 't_a' ), 'c_times'(
% 0.71/1.09 'c_HOL_Oabs'( Y, 't_a' ), X, 't_a' ), 't_a' ), ~( 'c_lessequals'( 'c_0',
% 0.71/1.09 X, 't_a' ) ) ] )
% 0.71/1.09 , 1, clause( 14, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' )
% 0.71/1.09 ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, 'c_HOL_Oabs'( Y, 't_a' ) ), :=( Y, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 64, [ 'c_lessequals'( 'c_times'( X, 'c_HOL_Oabs'( Y, 't_a' ), 't_a'
% 0.71/1.09 ), 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y, 't_a' ), 't_a'
% 0.71/1.09 ), 't_a' ) ] )
% 0.71/1.09 , clause( 110, [ 'c_lessequals'( 'c_times'( X, 'c_HOL_Oabs'( Y, 't_a' ),
% 0.71/1.09 't_a' ), 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y, 't_a' ),
% 0.71/1.09 't_a' ), 't_a' ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 111, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), 'c_times'(
% 0.71/1.09 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' )
% 0.71/1.09 , 't_a' ) ] )
% 0.71/1.09 , clause( 18, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), Y, 't_a'
% 0.71/1.09 ), ~( 'c_lessequals'( 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_f'( X ), 't_a'
% 0.71/1.09 ), 't_a' ), Y, 't_a' ) ) ] )
% 0.71/1.09 , 1, clause( 64, [ 'c_lessequals'( 'c_times'( X, 'c_HOL_Oabs'( Y, 't_a' ),
% 0.71/1.09 't_a' ), 'c_times'( 'c_HOL_Oabs'( X, 't_a' ), 'c_HOL_Oabs'( Y, 't_a' ),
% 0.71/1.09 't_a' ), 't_a' ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_times'( 'c_HOL_Oabs'( 'v_c',
% 0.71/1.09 't_a' ), 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' ) )] ), substitution( 1
% 0.71/1.09 , [ :=( X, 'v_c' ), :=( Y, 'v_f'( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 66, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ), 'c_times'(
% 0.71/1.09 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( X ), 't_a' ), 't_a' )
% 0.71/1.09 , 't_a' ) ] )
% 0.71/1.09 , clause( 111, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ),
% 0.71/1.09 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( X ), 't_a'
% 0.71/1.09 ), 't_a' ), 't_a' ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 112, [] )
% 0.71/1.09 , clause( 1, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ),
% 0.71/1.09 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( 'v_x' ),
% 0.71/1.09 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.71/1.09 , 0, clause( 66, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_h'( X ), 't_a' ),
% 0.71/1.09 'c_times'( 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_HOL_Oabs'( 'v_f'( X ), 't_a'
% 0.71/1.09 ), 't_a' ), 't_a' ) ] )
% 0.71/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 76, [] )
% 0.71/1.09 , clause( 112, [] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 end.
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 1562
% 0.71/1.09 space for clauses: 8939
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 100
% 0.71/1.09 clauses kept: 77
% 0.71/1.09 clauses selected: 34
% 0.71/1.09 clauses deleted: 0
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 46
% 0.71/1.09 literals s-matched: 39
% 0.71/1.09 literals matched: 39
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: 1274723878
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------