TSTP Solution File: ANA024-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 18:38:25 EDT 2022
% Result : Unsatisfiable 0.42s 1.07s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 8 05:00:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.07 *** allocated 10000 integers for termspace/termends
% 0.42/1.07 *** allocated 10000 integers for clauses
% 0.42/1.07 *** allocated 10000 integers for justifications
% 0.42/1.07 Bliksem 1.12
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Automatic Strategy Selection
% 0.42/1.07
% 0.42/1.07 Clauses:
% 0.42/1.07 [
% 0.42/1.07 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( Y, 'c_plus'(
% 0.42/1.07 'c_minus'( Y, Z, X ), Z, X ) ) ],
% 0.42/1.07 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.42/1.07 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.42/1.07 'c_minus'( T, Z, X ), X ) ],
% 0.42/1.07 [ 'c_lessequals'( 'v_k'( X ), 'v_f'( X ), 't_b' ) ],
% 0.42/1.07 [ ~( 'c_lessequals'( 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' )
% 0.42/1.07 , 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ) ],
% 0.42/1.07 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.42/1.07 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.42/1.07 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ]
% 0.42/1.07 ] .
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 percentage equality = 0.083333, percentage horn = 1.000000
% 0.42/1.07 This is a problem with some equality
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Options Used:
% 0.42/1.07
% 0.42/1.07 useres = 1
% 0.42/1.07 useparamod = 1
% 0.42/1.07 useeqrefl = 1
% 0.42/1.07 useeqfact = 1
% 0.42/1.07 usefactor = 1
% 0.42/1.07 usesimpsplitting = 0
% 0.42/1.07 usesimpdemod = 5
% 0.42/1.07 usesimpres = 3
% 0.42/1.07
% 0.42/1.07 resimpinuse = 1000
% 0.42/1.07 resimpclauses = 20000
% 0.42/1.07 substype = eqrewr
% 0.42/1.07 backwardsubs = 1
% 0.42/1.07 selectoldest = 5
% 0.42/1.07
% 0.42/1.07 litorderings [0] = split
% 0.42/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.07
% 0.42/1.07 termordering = kbo
% 0.42/1.07
% 0.42/1.07 litapriori = 0
% 0.42/1.07 termapriori = 1
% 0.42/1.07 litaposteriori = 0
% 0.42/1.07 termaposteriori = 0
% 0.42/1.07 demodaposteriori = 0
% 0.42/1.07 ordereqreflfact = 0
% 0.42/1.07
% 0.42/1.07 litselect = negord
% 0.42/1.07
% 0.42/1.07 maxweight = 15
% 0.42/1.07 maxdepth = 30000
% 0.42/1.07 maxlength = 115
% 0.42/1.07 maxnrvars = 195
% 0.42/1.07 excuselevel = 1
% 0.42/1.07 increasemaxweight = 1
% 0.42/1.07
% 0.42/1.07 maxselected = 10000000
% 0.42/1.07 maxnrclauses = 10000000
% 0.42/1.07
% 0.42/1.07 showgenerated = 0
% 0.42/1.07 showkept = 0
% 0.42/1.07 showselected = 0
% 0.42/1.07 showdeleted = 0
% 0.42/1.07 showresimp = 1
% 0.42/1.07 showstatus = 2000
% 0.42/1.07
% 0.42/1.07 prologoutput = 1
% 0.42/1.07 nrgoals = 5000000
% 0.42/1.07 totalproof = 1
% 0.42/1.07
% 0.42/1.07 Symbols occurring in the translation:
% 0.42/1.07
% 0.42/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.07 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.42/1.07 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.42/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 'class_OrderedGroup_Oab__group__add' [40, 1] (w:1, o:22, a:1, s:1, b:
% 0.42/1.07 0),
% 0.42/1.07 'c_minus' [43, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.42/1.07 'c_plus' [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add' [45, 1] (w:1, o:23, a:
% 0.42/1.07 1, s:1, b:0),
% 0.42/1.07 'c_lessequals' [47, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.42/1.07 'v_k' [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.07 'v_f' [50, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.42/1.07 't_b' [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.42/1.07 'v_x' [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.42/1.07 'v_g' [53, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.42/1.07 'class_Ring__and__Field_Oordered__idom' [55, 1] (w:1, o:27, a:1, s:1
% 0.42/1.07 , b:0).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Starting Search:
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksems!, er is een bewijs:
% 0.42/1.07 % SZS status Unsatisfiable
% 0.42/1.07 % SZS output start Refutation
% 0.42/1.07
% 0.42/1.07 clause( 0, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.42/1.07 'c_minus'( Y, Z, X ), Z, X ), Y ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 1, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.42/1.07 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.42/1.07 'c_minus'( T, Z, X ), X ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 2, [ 'c_lessequals'( 'v_k'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 3, [ ~( 'c_lessequals'( 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x' ),
% 0.42/1.07 't_b' ), 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ) ]
% 0.42/1.07 )
% 0.42/1.07 .
% 0.42/1.07 clause( 4, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 6, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 7, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 8, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 10, [ =( 'c_plus'( 'c_minus'( X, Y, 't_b' ), Y, 't_b' ), X ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 16, [ ~( 'c_lessequals'( X, Z, 't_b' ) ), 'c_lessequals'( 'c_minus'(
% 0.42/1.07 X, Y, 't_b' ), 'c_minus'( Z, Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 18, [ 'c_lessequals'( 'c_minus'( 'v_k'( X ), Y, 't_b' ), 'c_minus'(
% 0.42/1.07 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 19, [] )
% 0.42/1.07 .
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 % SZS output end Refutation
% 0.42/1.07 found a proof!
% 0.42/1.07
% 0.42/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.07
% 0.42/1.07 initialclauses(
% 0.42/1.07 [ clause( 21, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( Y,
% 0.42/1.07 'c_plus'( 'c_minus'( Y, Z, X ), Z, X ) ) ] )
% 0.42/1.07 , clause( 22, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.07 ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.42/1.07 'c_minus'( T, Z, X ), X ) ] )
% 0.42/1.07 , clause( 23, [ 'c_lessequals'( 'v_k'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.42/1.07 , clause( 24, [ ~( 'c_lessequals'( 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x'
% 0.42/1.07 ), 't_b' ), 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 0.42/1.07 ) ] )
% 0.42/1.07 , clause( 25, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.42/1.07 , clause( 26, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.42/1.07 , clause( 27, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.42/1.07 ] ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 28, [ =( 'c_plus'( 'c_minus'( X, Y, Z ), Y, Z ), X ), ~(
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.42/1.07 , clause( 21, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( Y,
% 0.42/1.07 'c_plus'( 'c_minus'( Y, Z, X ), Z, X ) ) ] )
% 0.42/1.07 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 0, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.42/1.07 'c_minus'( Y, Z, X ), Z, X ), Y ) ] )
% 0.42/1.07 , clause( 28, [ =( 'c_plus'( 'c_minus'( X, Y, Z ), Y, Z ), X ), ~(
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 1, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.42/1.07 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.42/1.07 'c_minus'( T, Z, X ), X ) ] )
% 0.42/1.07 , clause( 22, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.07 ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.42/1.07 'c_minus'( T, Z, X ), X ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 2, [ 'c_lessequals'( 'v_k'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.42/1.07 , clause( 23, [ 'c_lessequals'( 'v_k'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 3, [ ~( 'c_lessequals'( 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x' ),
% 0.42/1.07 't_b' ), 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ) ]
% 0.42/1.07 )
% 0.42/1.07 , clause( 24, [ ~( 'c_lessequals'( 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x'
% 0.42/1.07 ), 't_b' ), 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' )
% 0.42/1.07 ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 4, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.42/1.07 , clause( 25, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.07 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.42/1.07 , clause( 26, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.07 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 6, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.42/1.07 , clause( 27, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 35, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.42/1.07 , clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.42/1.07 , 0, clause( 6, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 7, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.42/1.07 , clause( 35, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ]
% 0.42/1.07 )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 36, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.42/1.07 , clause( 4, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.42/1.07 , 0, clause( 7, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ]
% 0.42/1.07 )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 8, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.42/1.07 , clause( 36, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 37, [ =( X, 'c_plus'( 'c_minus'( X, Y, Z ), Y, Z ) ), ~(
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.42/1.07 , clause( 0, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.42/1.07 'c_minus'( Y, Z, X ), Z, X ), Y ) ] )
% 0.42/1.07 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 38, [ =( X, 'c_plus'( 'c_minus'( X, Y, 't_b' ), Y, 't_b' ) ) ] )
% 0.42/1.07 , clause( 37, [ =( X, 'c_plus'( 'c_minus'( X, Y, Z ), Y, Z ) ), ~(
% 0.42/1.07 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.42/1.07 , 1, clause( 8, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 't_b' )] ),
% 0.42/1.07 substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 39, [ =( 'c_plus'( 'c_minus'( X, Y, 't_b' ), Y, 't_b' ), X ) ] )
% 0.42/1.07 , clause( 38, [ =( X, 'c_plus'( 'c_minus'( X, Y, 't_b' ), Y, 't_b' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 10, [ =( 'c_plus'( 'c_minus'( X, Y, 't_b' ), Y, 't_b' ), X ) ] )
% 0.42/1.07 , clause( 39, [ =( 'c_plus'( 'c_minus'( X, Y, 't_b' ), Y, 't_b' ), X ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.07 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 41, [ ~( 'c_lessequals'( X, Z, 't_b' ) ), ~(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ), 'c_lessequals'(
% 0.42/1.07 'c_minus'( X, Y, 't_b' ), 'c_minus'( Z, Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , clause( 10, [ =( 'c_plus'( 'c_minus'( X, Y, 't_b' ), Y, 't_b' ), X ) ] )
% 0.42/1.07 , 0, clause( 1, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.42/1.07 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.42/1.07 'c_minus'( T, Z, X ), X ) ] )
% 0.42/1.07 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.07 :=( X, 't_b' ), :=( Y, 'c_minus'( X, Y, 't_b' ) ), :=( Z, Y ), :=( T, Z )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 42, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'( 'c_minus'(
% 0.42/1.07 X, Z, 't_b' ), 'c_minus'( Y, Z, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , clause( 41, [ ~( 'c_lessequals'( X, Z, 't_b' ) ), ~(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ), 'c_lessequals'(
% 0.42/1.07 'c_minus'( X, Y, 't_b' ), 'c_minus'( Z, Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , 1, clause( 7, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ]
% 0.42/1.07 )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.42/1.07 substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 16, [ ~( 'c_lessequals'( X, Z, 't_b' ) ), 'c_lessequals'( 'c_minus'(
% 0.42/1.07 X, Y, 't_b' ), 'c_minus'( Z, Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , clause( 42, [ ~( 'c_lessequals'( X, Y, 't_b' ) ), 'c_lessequals'(
% 0.42/1.07 'c_minus'( X, Z, 't_b' ), 'c_minus'( Y, Z, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.42/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 43, [ 'c_lessequals'( 'c_minus'( 'v_k'( X ), Y, 't_b' ), 'c_minus'(
% 0.42/1.07 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , clause( 16, [ ~( 'c_lessequals'( X, Z, 't_b' ) ), 'c_lessequals'(
% 0.42/1.07 'c_minus'( X, Y, 't_b' ), 'c_minus'( Z, Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , 0, clause( 2, [ 'c_lessequals'( 'v_k'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, 'v_k'( X ) ), :=( Y, Y ), :=( Z, 'v_f'( X )
% 0.42/1.07 )] ), substitution( 1, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 18, [ 'c_lessequals'( 'c_minus'( 'v_k'( X ), Y, 't_b' ), 'c_minus'(
% 0.42/1.07 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , clause( 43, [ 'c_lessequals'( 'c_minus'( 'v_k'( X ), Y, 't_b' ),
% 0.42/1.07 'c_minus'( 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.07 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 44, [] )
% 0.42/1.07 , clause( 3, [ ~( 'c_lessequals'( 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x' )
% 0.42/1.07 , 't_b' ), 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ) )
% 0.42/1.07 ] )
% 0.42/1.07 , 0, clause( 18, [ 'c_lessequals'( 'c_minus'( 'v_k'( X ), Y, 't_b' ),
% 0.42/1.07 'c_minus'( 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.42/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 'v_g'(
% 0.42/1.07 'v_x' ) )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 19, [] )
% 0.42/1.07 , clause( 44, [] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 end.
% 0.42/1.07
% 0.42/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.07
% 0.42/1.07 Memory use:
% 0.42/1.07
% 0.42/1.07 space for terms: 378
% 0.42/1.07 space for clauses: 1614
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 clauses generated: 60
% 0.42/1.07 clauses kept: 20
% 0.42/1.07 clauses selected: 15
% 0.42/1.07 clauses deleted: 1
% 0.42/1.07 clauses inuse deleted: 0
% 0.42/1.07
% 0.42/1.07 subsentry: 59
% 0.42/1.07 literals s-matched: 32
% 0.42/1.07 literals matched: 32
% 0.42/1.07 full subsumption: 0
% 0.42/1.07
% 0.42/1.07 checksum: -629966568
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksem ended
%------------------------------------------------------------------------------