%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA023-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 18:38:24 EDT 2022
% Result : Unsatisfiable 0.47s 1.08s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ANA023-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Fri Jul 8 05:14:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.47/1.08 *** allocated 10000 integers for termspace/termends
% 0.47/1.08 *** allocated 10000 integers for clauses
% 0.47/1.08 *** allocated 10000 integers for justifications
% 0.47/1.08 Bliksem 1.12
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 Automatic Strategy Selection
% 0.47/1.08
% 0.47/1.08 Clauses:
% 0.47/1.08 [
% 0.47/1.08 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 0.47/1.08 , Y, X ), Y ) ],
% 0.47/1.08 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.47/1.08 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 'c_plus'(
% 0.47/1.08 Y, T, X ), Z, X ) ],
% 0.47/1.08 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.47/1.08 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.47/1.08 'c_minus'( T, Z, X ), X ) ],
% 0.47/1.08 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.47/1.08 ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ],
% 0.47/1.08 [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x' ),
% 0.47/1.08 't_b' ), 't_b' ) ],
% 0.47/1.08 [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ],
% 0.47/1.08 [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ),
% 0.47/1.08 't_b' ), 't_b' ) ) ],
% 0.47/1.08 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.47/1.08 ,
% 0.47/1.08 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.47/1.08 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_Orderings_Olinorder'( X ) ],
% 0.47/1.08 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.47/1.08 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ]
% 0.47/1.08 ] .
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 percentage equality = 0.041667, percentage horn = 1.000000
% 0.47/1.08 This is a problem with some equality
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 Options Used:
% 0.47/1.08
% 0.47/1.08 useres = 1
% 0.47/1.08 useparamod = 1
% 0.47/1.08 useeqrefl = 1
% 0.47/1.08 useeqfact = 1
% 0.47/1.08 usefactor = 1
% 0.47/1.08 usesimpsplitting = 0
% 0.47/1.08 usesimpdemod = 5
% 0.47/1.08 usesimpres = 3
% 0.47/1.08
% 0.47/1.08 resimpinuse = 1000
% 0.47/1.08 resimpclauses = 20000
% 0.47/1.08 substype = eqrewr
% 0.47/1.08 backwardsubs = 1
% 0.47/1.08 selectoldest = 5
% 0.47/1.08
% 0.47/1.08 litorderings [0] = split
% 0.47/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.47/1.08
% 0.47/1.08 termordering = kbo
% 0.47/1.08
% 0.47/1.08 litapriori = 0
% 0.47/1.08 termapriori = 1
% 0.47/1.08 litaposteriori = 0
% 0.47/1.08 termaposteriori = 0
% 0.47/1.08 demodaposteriori = 0
% 0.47/1.08 ordereqreflfact = 0
% 0.47/1.08
% 0.47/1.08 litselect = negord
% 0.47/1.08
% 0.47/1.08 maxweight = 15
% 0.47/1.08 maxdepth = 30000
% 0.47/1.08 maxlength = 115
% 0.47/1.08 maxnrvars = 195
% 0.47/1.08 excuselevel = 1
% 0.47/1.08 increasemaxweight = 1
% 0.47/1.08
% 0.47/1.08 maxselected = 10000000
% 0.47/1.08 maxnrclauses = 10000000
% 0.47/1.08
% 0.47/1.08 showgenerated = 0
% 0.47/1.08 showkept = 0
% 0.47/1.08 showselected = 0
% 0.47/1.08 showdeleted = 0
% 0.47/1.08 showresimp = 1
% 0.47/1.08 showstatus = 2000
% 0.47/1.08
% 0.47/1.08 prologoutput = 1
% 0.47/1.08 nrgoals = 5000000
% 0.47/1.08 totalproof = 1
% 0.47/1.08
% 0.47/1.08 Symbols occurring in the translation:
% 0.47/1.08
% 0.47/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/1.08 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.47/1.08 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.47/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add' [40, 1] (w:1, o:25, a:1, s:1
% 0.47/1.08 , b:0),
% 0.47/1.08 'c_0' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.47/1.08 'c_plus' [43, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.47/1.08 'class_OrderedGroup_Opordered__ab__group__add' [44, 1] (w:1, o:26, a:
% 0.47/1.08 1, s:1, b:0),
% 0.47/1.08 'c_minus' [48, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.47/1.08 'c_lessequals' [49, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.47/1.08 'class_Orderings_Oorder' [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.47/1.08 'v_x' [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.47/1.08 'v_k' [54, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.47/1.08 'v_g' [55, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.47/1.08 't_b' [56, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.47/1.08 'v_f' [57, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.47/1.08 'class_Orderings_Olinorder' [59, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.47/1.08 'class_Ring__and__Field_Oordered__idom' [60, 1] (w:1, o:32, a:1, s:1
% 0.47/1.08 , b:0).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 Starting Search:
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 Bliksems!, er is een bewijs:
% 0.47/1.08 % SZS status Unsatisfiable
% 0.47/1.08 % SZS output start Refutation
% 0.47/1.08
% 0.47/1.08 clause( 0, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'(
% 0.47/1.08 'c_0', Y, X ), Y ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 1, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.47/1.08 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 'c_plus'(
% 0.47/1.08 Y, T, X ), Z, X ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 2, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.47/1.08 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.47/1.08 'c_minus'( T, Z, X ), X ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 3, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.47/1.08 ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 4, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x'
% 0.47/1.08 ), 't_b' ), 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 5, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 6, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'(
% 0.47/1.08 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 7, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.47/1.08 'class_Orderings_Oorder'( X ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_Orderings_Olinorder'( X ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 11, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 12, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 13, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 15, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 16, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 17, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 31, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.47/1.08 ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 32, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 35, [ ~( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ) ),
% 0.47/1.08 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ] )
% 0.47/1.08 .
% 0.47/1.08 clause( 54, [] )
% 0.47/1.08 .
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 % SZS output end Refutation
% 0.47/1.08 found a proof!
% 0.47/1.08
% 0.47/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.08
% 0.47/1.08 initialclauses(
% 0.47/1.08 [ clause( 56, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.47/1.08 'c_plus'( 'c_0', Y, X ), Y ) ] )
% 0.47/1.08 , clause( 57, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.47/1.08 ~( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'(
% 0.47/1.08 'c_plus'( Y, T, X ), Z, X ) ] )
% 0.47/1.08 , clause( 58, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.47/1.08 ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.47/1.08 'c_minus'( T, Z, X ), X ) ] )
% 0.47/1.08 , clause( 59, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.47/1.08 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.47/1.08 , clause( 60, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'(
% 0.47/1.08 'v_x' ), 't_b' ), 't_b' ) ] )
% 0.47/1.08 , clause( 61, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ]
% 0.47/1.08 )
% 0.47/1.08 , clause( 62, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'(
% 0.47/1.08 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.47/1.08 , clause( 63, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.47/1.08 'class_Orderings_Oorder'( X ) ] )
% 0.47/1.08 , clause( 64, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.47/1.08 , clause( 65, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_Orderings_Olinorder'( X ) ] )
% 0.47/1.08 , clause( 66, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.47/1.08 , clause( 67, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.47/1.08 ] ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 0, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'(
% 0.47/1.08 'c_0', Y, X ), Y ) ] )
% 0.47/1.08 , clause( 56, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.47/1.08 'c_plus'( 'c_0', Y, X ), Y ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.08 ), ==>( 1, 1 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 1, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.47/1.08 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 'c_plus'(
% 0.47/1.08 Y, T, X ), Z, X ) ] )
% 0.47/1.08 , clause( 57, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.47/1.08 ~( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'(
% 0.47/1.08 'c_plus'( Y, T, X ), Z, X ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 2, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.47/1.08 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.47/1.08 'c_minus'( T, Z, X ), X ) ] )
% 0.47/1.08 , clause( 58, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.47/1.08 ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.47/1.08 'c_minus'( T, Z, X ), X ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 3, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.47/1.08 ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.47/1.08 , clause( 59, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.47/1.08 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.47/1.08 ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 4, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x'
% 0.47/1.08 ), 't_b' ), 't_b' ) ] )
% 0.47/1.08 , clause( 60, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'(
% 0.47/1.08 'v_x' ), 't_b' ), 't_b' ) ] )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 5, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ] )
% 0.47/1.08 , clause( 61, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ]
% 0.47/1.08 )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 6, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'(
% 0.47/1.08 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.47/1.08 , clause( 62, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'(
% 0.47/1.08 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 7, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.47/1.08 'class_Orderings_Oorder'( X ) ] )
% 0.47/1.08 , clause( 63, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.47/1.08 'class_Orderings_Oorder'( X ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/1.08 1 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.47/1.08 , clause( 64, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/1.08 1 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_Orderings_Olinorder'( X ) ] )
% 0.47/1.08 , clause( 65, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_Orderings_Olinorder'( X ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/1.08 1 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.47/1.08 , clause( 66, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/1.08 1 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 11, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.47/1.08 , clause( 67, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 89, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.47/1.08 , clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.47/1.08 , 0, clause( 11, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 12, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.47/1.08 , clause( 89, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ]
% 0.47/1.08 )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 90, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.47/1.08 , clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_Orderings_Olinorder'( X ) ] )
% 0.47/1.08 , 0, clause( 11, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 13, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.47/1.08 , clause( 90, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 91, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.47/1.08 , clause( 8, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.47/1.08 , 0, clause( 11, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 15, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.47/1.08 , clause( 91, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 eqswap(
% 0.47/1.08 clause( 92, [ =( X, 'c_plus'( 'c_0', X, Y ) ), ~(
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ] )
% 0.47/1.08 , clause( 0, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.47/1.08 'c_plus'( 'c_0', Y, X ), Y ) ] )
% 0.47/1.08 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 93, [ =( X, 'c_plus'( 'c_0', X, 't_b' ) ) ] )
% 0.47/1.08 , clause( 92, [ =( X, 'c_plus'( 'c_0', X, Y ) ), ~(
% 0.47/1.08 'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ] )
% 0.47/1.08 , 1, clause( 15, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' )] ), substitution( 1, [] )
% 0.47/1.08 ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 eqswap(
% 0.47/1.08 clause( 94, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.47/1.08 , clause( 93, [ =( X, 'c_plus'( 'c_0', X, 't_b' ) ) ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 16, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.47/1.08 , clause( 94, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 95, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.47/1.08 , clause( 7, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.47/1.08 'class_Orderings_Oorder'( X ) ] )
% 0.47/1.08 , 0, clause( 13, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 17, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.47/1.08 , clause( 95, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 97, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) )
% 0.47/1.08 , ~( 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_f'(
% 0.47/1.08 'v_x' ), 't_b' ) ) ] )
% 0.47/1.08 , clause( 6, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'(
% 0.47/1.08 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.47/1.08 , 0, clause( 2, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.47/1.08 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.47/1.08 'c_minus'( T, Z, X ), X ) ] )
% 0.47/1.08 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' ), :=( Y, 'c_0'
% 0.47/1.08 ), :=( Z, 'v_g'( 'v_x' ) ), :=( T, 'v_f'( 'v_x' ) )] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 paramod(
% 0.47/1.08 clause( 98, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.47/1.08 , ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ) ] )
% 0.47/1.08 , clause( 16, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.47/1.08 , 0, clause( 97, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b'
% 0.47/1.08 ) ), ~( 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_f'(
% 0.47/1.08 'v_x' ), 't_b' ) ) ] )
% 0.47/1.08 , 1, 2, substitution( 0, [ :=( X, 'v_g'( 'v_x' ) )] ), substitution( 1, [] )
% 0.47/1.08 ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 99, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.47/1.08 ] )
% 0.47/1.08 , clause( 98, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.47/1.08 ), ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ) ] )
% 0.47/1.08 , 1, clause( 12, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.47/1.08 ] )
% 0.47/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 31, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.47/1.08 ] )
% 0.47/1.08 , clause( 99, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.47/1.08 ) ] )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 101, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) )
% 0.47/1.08 , 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_k'( 'v_x'
% 0.47/1.08 ), 't_b' ) ] )
% 0.47/1.08 , clause( 1, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.47/1.08 ~( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'(
% 0.47/1.08 'c_plus'( Y, T, X ), Z, X ) ] )
% 0.47/1.08 , 1, clause( 4, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'(
% 0.47/1.08 'v_x' ), 't_b' ), 't_b' ) ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'c_0' ), :=( Z, 'v_k'( 'v_x'
% 0.47/1.08 ) ), :=( T, 'v_g'( 'v_x' ) )] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 paramod(
% 0.47/1.08 clause( 102, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ), ~(
% 0.47/1.08 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ) ] )
% 0.47/1.08 , clause( 16, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.47/1.08 , 0, clause( 101, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'(
% 0.47/1.08 't_b' ) ), 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ),
% 0.47/1.08 'v_k'( 'v_x' ), 't_b' ) ] )
% 0.47/1.08 , 1, 1, substitution( 0, [ :=( X, 'v_g'( 'v_x' ) )] ), substitution( 1, [] )
% 0.47/1.08 ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 103, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ] )
% 0.47/1.08 , clause( 102, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ),
% 0.47/1.08 ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ) ] )
% 0.47/1.08 , 1, clause( 12, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.47/1.08 ] )
% 0.47/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 32, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ] )
% 0.47/1.08 , clause( 103, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ]
% 0.47/1.08 )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 105, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.47/1.08 'v_k'( 'v_x' ), X, 't_b' ) ), 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' )
% 0.47/1.08 ] )
% 0.47/1.08 , clause( 3, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.47/1.08 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.47/1.08 , 2, clause( 32, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' )
% 0.47/1.08 ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'v_k'( 'v_x' ) ), :=( Z, X )
% 0.47/1.08 , :=( T, 'v_g'( 'v_x' ) )] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 107, [ ~( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ) ),
% 0.47/1.08 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ] )
% 0.47/1.08 , clause( 105, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.47/1.08 'v_k'( 'v_x' ), X, 't_b' ) ), 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' )
% 0.47/1.08 ] )
% 0.47/1.08 , 0, clause( 17, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.47/1.08 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 35, [ ~( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ) ),
% 0.47/1.08 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ] )
% 0.47/1.08 , clause( 107, [ ~( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ) ),
% 0.47/1.08 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ] )
% 0.47/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/1.08 1 )] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 108, [ ~( 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.47/1.08 ] )
% 0.47/1.08 , clause( 31, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.47/1.08 ) ] )
% 0.47/1.08 , 0, clause( 35, [ ~( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ) ),
% 0.47/1.08 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ] )
% 0.47/1.08 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_f'( 'v_x' ) )] )
% 0.47/1.08 ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 resolution(
% 0.47/1.08 clause( 109, [] )
% 0.47/1.08 , clause( 108, [ ~( 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.47/1.08 ) ] )
% 0.47/1.08 , 0, clause( 5, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ]
% 0.47/1.08 )
% 0.47/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 subsumption(
% 0.47/1.08 clause( 54, [] )
% 0.47/1.08 , clause( 109, [] )
% 0.47/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 end.
% 0.47/1.08
% 0.47/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.08
% 0.47/1.08 Memory use:
% 0.47/1.08
% 0.47/1.08 space for terms: 1024
% 0.47/1.08 space for clauses: 3629
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 clauses generated: 96
% 0.47/1.08 clauses kept: 55
% 0.47/1.08 clauses selected: 23
% 0.47/1.08 clauses deleted: 0
% 0.47/1.08 clauses inuse deleted: 0
% 0.47/1.08
% 0.47/1.08 subsentry: 158
% 0.47/1.08 literals s-matched: 108
% 0.47/1.08 literals matched: 108
% 0.47/1.08 full subsumption: 47
% 0.47/1.08
% 0.47/1.08 checksum: -1458791783
% 0.47/1.08
% 0.47/1.08
% 0.47/1.08 Bliksem ended
%------------------------------------------------------------------------------