TSTP Solution File: ANA009-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA009-2 : 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 18:38:07 EDT 2022
% Result : Unsatisfiable 0.70s 1.07s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Fri Jul 8 04:17:28 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.70/1.07 *** allocated 10000 integers for termspace/termends
% 0.70/1.07 *** allocated 10000 integers for clauses
% 0.70/1.07 *** allocated 10000 integers for justifications
% 0.70/1.07 Bliksem 1.12
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Automatic Strategy Selection
% 0.70/1.07
% 0.70/1.07 Clauses:
% 0.70/1.07 [
% 0.70/1.07 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.70/1.07 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 0.70/1.07 'c_plus'( Z, T, X ), X ) ],
% 0.70/1.07 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y,
% 0.70/1.07 'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 0.70/1.07 [ 'c_lessequals'( 'v_lb'( X ), 'v_f'( X ), 't_b' ) ],
% 0.70/1.07 [ ~( 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( 'v_x' ), 'c_uminus'( 'v_lb'(
% 0.70/1.07 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ],
% 0.70/1.07 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.70/1.07 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.70/1.07 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ]
% 0.70/1.07 ] .
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 percentage equality = 0.083333, percentage horn = 1.000000
% 0.70/1.07 This is a problem with some equality
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Options Used:
% 0.70/1.07
% 0.70/1.07 useres = 1
% 0.70/1.07 useparamod = 1
% 0.70/1.07 useeqrefl = 1
% 0.70/1.07 useeqfact = 1
% 0.70/1.07 usefactor = 1
% 0.70/1.07 usesimpsplitting = 0
% 0.70/1.07 usesimpdemod = 5
% 0.70/1.07 usesimpres = 3
% 0.70/1.07
% 0.70/1.07 resimpinuse = 1000
% 0.70/1.07 resimpclauses = 20000
% 0.70/1.07 substype = eqrewr
% 0.70/1.07 backwardsubs = 1
% 0.70/1.07 selectoldest = 5
% 0.70/1.07
% 0.70/1.07 litorderings [0] = split
% 0.70/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.07
% 0.70/1.07 termordering = kbo
% 0.70/1.07
% 0.70/1.07 litapriori = 0
% 0.70/1.07 termapriori = 1
% 0.70/1.07 litaposteriori = 0
% 0.70/1.07 termaposteriori = 0
% 0.70/1.07 demodaposteriori = 0
% 0.70/1.07 ordereqreflfact = 0
% 0.70/1.07
% 0.70/1.07 litselect = negord
% 0.70/1.07
% 0.70/1.07 maxweight = 15
% 0.70/1.07 maxdepth = 30000
% 0.70/1.07 maxlength = 115
% 0.70/1.07 maxnrvars = 195
% 0.70/1.07 excuselevel = 1
% 0.70/1.07 increasemaxweight = 1
% 0.70/1.07
% 0.70/1.07 maxselected = 10000000
% 0.70/1.07 maxnrclauses = 10000000
% 0.70/1.07
% 0.70/1.07 showgenerated = 0
% 0.70/1.07 showkept = 0
% 0.70/1.07 showselected = 0
% 0.70/1.07 showdeleted = 0
% 0.70/1.07 showresimp = 1
% 0.70/1.07 showstatus = 2000
% 0.70/1.07
% 0.70/1.07 prologoutput = 1
% 0.70/1.07 nrgoals = 5000000
% 0.70/1.07 totalproof = 1
% 0.70/1.07
% 0.70/1.07 Symbols occurring in the translation:
% 0.70/1.07
% 0.70/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.07 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.70/1.07 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.70/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [40, 1]
% 0.70/1.07 (w:1, o:23, a:1, s:1, b:0),
% 0.70/1.07 'c_lessequals' [43, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.70/1.07 'c_plus' [45, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.70/1.07 'class_OrderedGroup_Oab__group__add' [46, 1] (w:1, o:24, a:1, s:1, b:
% 0.70/1.07 0),
% 0.70/1.07 'c_uminus' [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.70/1.07 'c_0' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.07 'v_lb' [50, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.70/1.07 'v_f' [51, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.70/1.07 't_b' [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.70/1.07 'v_x' [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom' [55, 1] (w:1, o:27, a:1, s:1
% 0.70/1.07 , b:0).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Starting Search:
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Bliksems!, er is een bewijs:
% 0.70/1.07 % SZS status Unsatisfiable
% 0.70/1.07 % SZS output start Refutation
% 0.70/1.07
% 0.70/1.07 clause( 0, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.70/1.07 X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X
% 0.70/1.07 ), 'c_plus'( Z, T, X ), X ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 1, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y
% 0.70/1.07 , 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 2, [ 'c_lessequals'( 'v_lb'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 3, [ ~( 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( 'v_x' ), 'c_uminus'(
% 0.70/1.07 'v_lb'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 6, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 8, [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.70/1.07 't_b' ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 12, [ 'c_lessequals'( 'c_plus'( 'v_lb'( X ), Y, 't_b' ), 'c_plus'(
% 0.70/1.07 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 14, [ =( 'c_plus'( X, 'c_uminus'( X, Y ), Y ), 'c_0' ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 21, [ 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( X ), 'c_uminus'(
% 0.70/1.07 'v_lb'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 23, [] )
% 0.70/1.07 .
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 % SZS output end Refutation
% 0.70/1.07 found a proof!
% 0.70/1.07
% 0.70/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.07
% 0.70/1.07 initialclauses(
% 0.70/1.07 [ clause( 25, [ ~(
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.70/1.07 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 0.70/1.07 'c_plus'( Z, T, X ), X ) ] )
% 0.70/1.07 , clause( 26, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.70/1.07 Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 0.70/1.07 , clause( 27, [ 'c_lessequals'( 'v_lb'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.70/1.07 , clause( 28, [ ~( 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( 'v_x' ),
% 0.70/1.07 'c_uminus'( 'v_lb'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.70/1.07 , clause( 29, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.70/1.07 , clause( 30, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.70/1.07 , clause( 31, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.70/1.07 ] ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 0, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.70/1.07 X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X
% 0.70/1.07 ), 'c_plus'( Z, T, X ), X ) ] )
% 0.70/1.07 , clause( 25, [ ~(
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.70/1.07 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 0.70/1.07 'c_plus'( Z, T, X ), X ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 1, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y
% 0.70/1.07 , 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 0.70/1.07 , clause( 26, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.70/1.07 Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.07 ), ==>( 1, 1 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 2, [ 'c_lessequals'( 'v_lb'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.70/1.07 , clause( 27, [ 'c_lessequals'( 'v_lb'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 3, [ ~( 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( 'v_x' ), 'c_uminus'(
% 0.70/1.07 'v_lb'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.70/1.07 , clause( 28, [ ~( 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( 'v_x' ),
% 0.70/1.07 'c_uminus'( 'v_lb'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.70/1.07 , clause( 29, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.07 1 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.70/1.07 , clause( 30, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.07 1 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 6, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.70/1.07 , clause( 31, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 38, [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.70/1.07 't_b' ) ] )
% 0.70/1.07 , clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.70/1.07 , 0, clause( 6, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.70/1.07 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 8, [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.70/1.07 't_b' ) ] )
% 0.70/1.07 , clause( 38, [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.70/1.07 't_b' ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 39, [ ~(
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 't_b' ) ),
% 0.70/1.07 'c_lessequals'( 'c_plus'( 'v_lb'( X ), Y, 't_b' ), 'c_plus'( 'v_f'( X ),
% 0.70/1.07 Y, 't_b' ), 't_b' ) ] )
% 0.70/1.07 , clause( 0, [ ~(
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.70/1.07 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 0.70/1.07 'c_plus'( Z, T, X ), X ) ] )
% 0.70/1.07 , 1, clause( 2, [ 'c_lessequals'( 'v_lb'( X ), 'v_f'( X ), 't_b' ) ] )
% 0.70/1.07 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'v_lb'( X ) ), :=( Z, 'v_f'(
% 0.70/1.07 X ) ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 40, [ 'c_lessequals'( 'c_plus'( 'v_lb'( X ), Y, 't_b' ), 'c_plus'(
% 0.70/1.07 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.70/1.07 , clause( 39, [ ~(
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 't_b' ) ),
% 0.70/1.07 'c_lessequals'( 'c_plus'( 'v_lb'( X ), Y, 't_b' ), 'c_plus'( 'v_f'( X ),
% 0.70/1.07 Y, 't_b' ), 't_b' ) ] )
% 0.70/1.07 , 0, clause( 8, [
% 0.70/1.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 't_b' ) ] )
% 0.70/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.70/1.07 ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 12, [ 'c_lessequals'( 'c_plus'( 'v_lb'( X ), Y, 't_b' ), 'c_plus'(
% 0.70/1.07 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.70/1.07 , clause( 40, [ 'c_lessequals'( 'c_plus'( 'v_lb'( X ), Y, 't_b' ), 'c_plus'(
% 0.70/1.07 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.07 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 eqswap(
% 0.70/1.07 clause( 41, [ =( 'c_0', 'c_plus'( X, 'c_uminus'( X, Y ), Y ) ), ~(
% 0.70/1.07 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 0.70/1.07 , clause( 1, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.70/1.07 Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 0.70/1.07 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 42, [ =( 'c_0', 'c_plus'( X, 'c_uminus'( X, Y ), Y ) ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.70/1.07 , clause( 41, [ =( 'c_0', 'c_plus'( X, 'c_uminus'( X, Y ), Y ) ), ~(
% 0.70/1.07 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 0.70/1.07 , 1, clause( 5, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.70/1.07 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.70/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.07 , Y )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 eqswap(
% 0.70/1.07 clause( 43, [ =( 'c_plus'( X, 'c_uminus'( X, Y ), Y ), 'c_0' ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.70/1.07 , clause( 42, [ =( 'c_0', 'c_plus'( X, 'c_uminus'( X, Y ), Y ) ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.70/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 14, [ =( 'c_plus'( X, 'c_uminus'( X, Y ), Y ), 'c_0' ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.70/1.07 , clause( 43, [ =( 'c_plus'( X, 'c_uminus'( X, Y ), Y ), 'c_0' ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.07 ), ==>( 1, 1 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 paramod(
% 0.70/1.07 clause( 45, [ 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( X ), 'c_uminus'(
% 0.70/1.07 'v_lb'( X ), 't_b' ), 't_b' ), 't_b' ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.70/1.07 , clause( 14, [ =( 'c_plus'( X, 'c_uminus'( X, Y ), Y ), 'c_0' ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.70/1.07 , 0, clause( 12, [ 'c_lessequals'( 'c_plus'( 'v_lb'( X ), Y, 't_b' ),
% 0.70/1.07 'c_plus'( 'v_f'( X ), Y, 't_b' ), 't_b' ) ] )
% 0.70/1.07 , 0, 1, substitution( 0, [ :=( X, 'v_lb'( X ) ), :=( Y, 't_b' )] ),
% 0.70/1.07 substitution( 1, [ :=( X, X ), :=( Y, 'c_uminus'( 'v_lb'( X ), 't_b' ) )] )
% 0.70/1.07 ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 48, [ 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( X ), 'c_uminus'(
% 0.70/1.07 'v_lb'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.70/1.07 , clause( 45, [ 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( X ), 'c_uminus'(
% 0.70/1.07 'v_lb'( X ), 't_b' ), 't_b' ), 't_b' ), ~(
% 0.70/1.07 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.70/1.07 , 1, clause( 6, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.70/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 21, [ 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( X ), 'c_uminus'(
% 0.70/1.07 'v_lb'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.70/1.07 , clause( 48, [ 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( X ), 'c_uminus'(
% 0.70/1.07 'v_lb'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 49, [] )
% 0.70/1.07 , clause( 3, [ ~( 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( 'v_x' ),
% 0.70/1.07 'c_uminus'( 'v_lb'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.70/1.07 , 0, clause( 21, [ 'c_lessequals'( 'c_0', 'c_plus'( 'v_f'( X ), 'c_uminus'(
% 0.70/1.07 'v_lb'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.70/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 23, [] )
% 0.70/1.07 , clause( 49, [] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 end.
% 0.70/1.07
% 0.70/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.07
% 0.70/1.07 Memory use:
% 0.70/1.07
% 0.70/1.07 space for terms: 438
% 0.70/1.07 space for clauses: 1887
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 clauses generated: 43
% 0.70/1.07 clauses kept: 24
% 0.70/1.07 clauses selected: 13
% 0.70/1.07 clauses deleted: 0
% 0.70/1.07 clauses inuse deleted: 0
% 0.70/1.07
% 0.70/1.07 subsentry: 53
% 0.70/1.07 literals s-matched: 28
% 0.70/1.07 literals matched: 28
% 0.70/1.07 full subsumption: 0
% 0.70/1.07
% 0.70/1.07 checksum: -1924105769
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Bliksem ended
%------------------------------------------------------------------------------