%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 18:38:32 EDT 2022
% Result : Unsatisfiable 0.85s 1.22s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 8 05:47:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.85/1.21 *** allocated 10000 integers for termspace/termends
% 0.85/1.21 *** allocated 10000 integers for clauses
% 0.85/1.21 *** allocated 10000 integers for justifications
% 0.85/1.21 Bliksem 1.12
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 Automatic Strategy Selection
% 0.85/1.21
% 0.85/1.21 Clauses:
% 0.85/1.21 [
% 0.85/1.21 [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X
% 0.85/1.21 ), 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 't_b' ), 'c_times'( 'v_c',
% 0.85/1.21 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ],
% 0.85/1.21 [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_plus'( 'v_g'( 'v_x'( X ) )
% 0.85/1.21 , 'c_times'( X, 'c_HOL_Oabs'( 'v_h'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 0.85/1.21 't_b' ), 't_b' ) ) ],
% 0.85/1.21 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.85/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.85/1.21 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 0.85/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y,
% 0.85/1.21 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ],
% 0.85/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.85/1.21 'c_lessequals'( 'c_minus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.85/1.21 'c_plus'( T, Z, X ), X ) ],
% 0.85/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y,
% 0.85/1.21 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 0.85/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 0.85/1.21 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 0.85/1.21 ), X ) ) ],
% 0.85/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 0.85/1.21 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 0.85/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 0.85/1.21 'c_uminus'( Y, X ), X ), Y ) ],
% 0.85/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.85/1.21 'c_Orderings_Omax'( Z, Y, X ), X ) ],
% 0.85/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.85/1.21 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 0.85/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.21 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.85/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.21 'class_Orderings_Olinorder'( X ) ],
% 0.85/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.21 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.85/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.21 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ]
% 0.85/1.21 ] .
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 percentage equality = 0.187500, percentage horn = 1.000000
% 0.85/1.21 This is a problem with some equality
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 Options Used:
% 0.85/1.21
% 0.85/1.21 useres = 1
% 0.85/1.21 useparamod = 1
% 0.85/1.21 useeqrefl = 1
% 0.85/1.21 useeqfact = 1
% 0.85/1.21 usefactor = 1
% 0.85/1.21 usesimpsplitting = 0
% 0.85/1.21 usesimpdemod = 5
% 0.85/1.21 usesimpres = 3
% 0.85/1.21
% 0.85/1.21 resimpinuse = 1000
% 0.85/1.21 resimpclauses = 20000
% 0.85/1.21 substype = eqrewr
% 0.85/1.21 backwardsubs = 1
% 0.85/1.21 selectoldest = 5
% 0.85/1.21
% 0.85/1.21 litorderings [0] = split
% 0.85/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.21
% 0.85/1.21 termordering = kbo
% 0.85/1.21
% 0.85/1.21 litapriori = 0
% 0.85/1.21 termapriori = 1
% 0.85/1.21 litaposteriori = 0
% 0.85/1.21 termaposteriori = 0
% 0.85/1.21 demodaposteriori = 0
% 0.85/1.21 ordereqreflfact = 0
% 0.85/1.21
% 0.85/1.21 litselect = negord
% 0.85/1.21
% 0.85/1.21 maxweight = 15
% 0.85/1.21 maxdepth = 30000
% 0.85/1.21 maxlength = 115
% 0.85/1.21 maxnrvars = 195
% 0.85/1.21 excuselevel = 1
% 0.85/1.21 increasemaxweight = 1
% 0.85/1.22
% 0.85/1.22 maxselected = 10000000
% 0.85/1.22 maxnrclauses = 10000000
% 0.85/1.22
% 0.85/1.22 showgenerated = 0
% 0.85/1.22 showkept = 0
% 0.85/1.22 showselected = 0
% 0.85/1.22 showdeleted = 0
% 0.85/1.22 showresimp = 1
% 0.85/1.22 showstatus = 2000
% 0.85/1.22
% 0.85/1.22 prologoutput = 1
% 0.85/1.22 nrgoals = 5000000
% 0.85/1.22 totalproof = 1
% 0.85/1.22
% 0.85/1.22 Symbols occurring in the translation:
% 0.85/1.22
% 0.85/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.22 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.85/1.22 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.85/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.22 'v_f' [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.85/1.22 'v_g' [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.85/1.22 't_b' [42, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.85/1.22 'c_minus' [43, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.85/1.22 'c_0' [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.85/1.22 'c_Orderings_Omax' [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.85/1.22 'c_HOL_Oabs' [46, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.85/1.22 'v_c' [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.85/1.22 'v_h' [48, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.85/1.22 'c_times' [49, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.85/1.22 'c_lessequals' [50, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.85/1.22 'v_x' [51, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.85/1.22 'c_plus' [52, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom' [53, 1] (w:1, o:31, a:1, s:1
% 0.85/1.22 , b:0),
% 0.85/1.22 'class_OrderedGroup_Olordered__ab__group__abs' [55, 1] (w:1, o:32, a:
% 0.85/1.22 1, s:1, b:0),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add' [57, 1] (w:1, o:33, a:1, s:1, b:
% 0.85/1.22 0),
% 0.85/1.22 'c_uminus' [60, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.85/1.22 'class_OrderedGroup_Opordered__ab__group__add' [61, 1] (w:1, o:34, a:
% 0.85/1.22 1, s:1, b:0),
% 0.85/1.22 'class_Orderings_Olinorder' [64, 1] (w:1, o:35, a:1, s:1, b:0).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 Starting Search:
% 0.85/1.22
% 0.85/1.22 Resimplifying inuse:
% 0.85/1.22 Done
% 0.85/1.22
% 0.85/1.22 Failed to find proof!
% 0.85/1.22 maxweight = 15
% 0.85/1.22 maxnrclauses = 10000000
% 0.85/1.22 Generated: 2808
% 0.85/1.22 Kept: 89
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 The strategy used was not complete!
% 0.85/1.22
% 0.85/1.22 Increased maxweight to 16
% 0.85/1.22
% 0.85/1.22 Starting Search:
% 0.85/1.22
% 0.85/1.22 Resimplifying inuse:
% 0.85/1.22 Done
% 0.85/1.22
% 0.85/1.22 Failed to find proof!
% 0.85/1.22 maxweight = 16
% 0.85/1.22 maxnrclauses = 10000000
% 0.85/1.22 Generated: 3821
% 0.85/1.22 Kept: 105
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 The strategy used was not complete!
% 0.85/1.22
% 0.85/1.22 Increased maxweight to 17
% 0.85/1.22
% 0.85/1.22 Starting Search:
% 0.85/1.22
% 0.85/1.22 Resimplifying inuse:
% 0.85/1.22 Done
% 0.85/1.22
% 0.85/1.22 Failed to find proof!
% 0.85/1.22 maxweight = 17
% 0.85/1.22 maxnrclauses = 10000000
% 0.85/1.22 Generated: 8185
% 0.85/1.22 Kept: 136
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 The strategy used was not complete!
% 0.85/1.22
% 0.85/1.22 Increased maxweight to 18
% 0.85/1.22
% 0.85/1.22 Starting Search:
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 Bliksems!, er is een bewijs:
% 0.85/1.22 % SZS status Unsatisfiable
% 0.85/1.22 % SZS output start Refutation
% 0.85/1.22
% 0.85/1.22 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_Orderings_Omax'( 'c_minus'(
% 0.85/1.22 'v_f'( X ), 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 't_b' ), 'c_times'(
% 0.85/1.22 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 1, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_plus'( 'v_g'( 'v_x'(
% 0.85/1.22 X ) ), 'c_times'( X, 'c_HOL_Oabs'( 'v_h'( 'v_x'( X ) ), 't_b' ), 't_b' )
% 0.85/1.22 , 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 4, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y
% 0.85/1.22 , 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 5, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_minus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_plus'( T, Z, X ), X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 6, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'(
% 0.85/1.22 Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 7, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'(
% 0.85/1.22 'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_plus'( Y, Z, X ), X ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 8, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 0.85/1.22 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 9, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 0.85/1.22 'c_uminus'( Y, X ), X ), Y ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 10, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_Orderings_Omax'( Z, Y, X ), X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 11, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 12, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 13, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_Orderings_Olinorder'( X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 14, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 15, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 16, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 17, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 18, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 19, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 21, [ 'c_lessequals'( X, 'c_Orderings_Omax'( Y, X, 't_b' ), 't_b' )
% 0.85/1.22 ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 26, [ ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), =( 'c_HOL_Oabs'( X,
% 0.85/1.22 't_b' ), X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 28, [ 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X ),
% 0.85/1.22 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.85/1.22 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 29, [ =( 'c_uminus'( 'c_uminus'( X, 't_b' ), 't_b' ), X ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 30, [ =( 'c_uminus'( 'c_uminus'( X, Y ), Y ), X ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 31, [ =( 'c_plus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_minus'( X
% 0.85/1.22 , Y, 't_b' ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 32, [ =( 'c_plus'( X, 'c_uminus'( Y, Z ), Z ), 'c_minus'( X, Y, Z )
% 0.85/1.22 ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 33, [ =( 'c_minus'( Y, 'c_uminus'( X, 't_b' ), 't_b' ), 'c_plus'( Y
% 0.85/1.22 , X, 't_b' ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 56, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( X, Y, Z ), T, Z ) ),
% 0.85/1.22 'c_lessequals'( X, T, Z ), ~( 'class_Ring__and__Field_Oordered__idom'( Z
% 0.85/1.22 ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 64, [ =( 'c_minus'( X, 'c_uminus'( Y, Z ), Z ), 'c_plus'( X, Y, Z )
% 0.85/1.22 ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 70, [ =( 'c_minus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ), 'c_uminus'(
% 0.85/1.22 'c_plus'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 72, [ ~( 'class_Ring__and__Field_Oordered__idom'( Y ) ), =(
% 0.85/1.22 'c_plus'( 'c_uminus'( X, Y ), Z, Y ), 'c_minus'( Z, X, Y ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 74, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 Y, X, 't_b' ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 78, [ =( 'c_plus'( X, Y, 't_b' ), 'c_plus'( Y, X, 't_b' ) ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 81, [ ~( 'c_lessequals'( 'c_minus'( Z, Y, 't_b' ), X, 't_b' ) ),
% 0.85/1.22 'c_lessequals'( Z, 'c_plus'( Y, X, 't_b' ), 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 110, [ 'c_lessequals'( 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 .
% 0.85/1.22 clause( 144, [ 'c_lessequals'( 'v_f'( X ), 'c_plus'( 'v_g'( X ), 'c_times'(
% 0.85/1.22 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 .
% 0.85/1.22 clause( 155, [] )
% 0.85/1.22 .
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 % SZS output end Refutation
% 0.85/1.22 found a proof!
% 0.85/1.22
% 0.85/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.22
% 0.85/1.22 initialclauses(
% 0.85/1.22 [ clause( 157, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_Orderings_Omax'(
% 0.85/1.22 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 't_b' ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 , clause( 158, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_plus'( 'v_g'(
% 0.85/1.22 'v_x'( X ) ), 'c_times'( X, 'c_HOL_Oabs'( 'v_h'( 'v_x'( X ) ), 't_b' ),
% 0.85/1.22 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 159, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , clause( 160, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.22 ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.85/1.22 , clause( 161, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_plus'( Y, 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ] )
% 0.85/1.22 , clause( 162, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.22 ~( 'c_lessequals'( 'c_minus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_plus'( T, Z, X ), X ) ] )
% 0.85/1.22 , clause( 163, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_minus'( Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 0.85/1.22 , clause( 164, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ),
% 0.85/1.22 'c_uminus'( Z, X ), X ) ) ] )
% 0.85/1.22 , clause( 165, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 0.85/1.22 , clause( 166, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_uminus'( Y, X ), X ), Y ) ] )
% 0.85/1.22 , clause( 167, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_Orderings_Omax'( Z, Y, X ), X ) ] )
% 0.85/1.22 , clause( 168, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 0.85/1.22 , clause( 169, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.85/1.22 , clause( 170, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_Orderings_Olinorder'( X ) ] )
% 0.85/1.22 , clause( 171, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 , clause( 172, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.85/1.22 ] ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_Orderings_Omax'( 'c_minus'(
% 0.85/1.22 'v_f'( X ), 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 't_b' ), 'c_times'(
% 0.85/1.22 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 , clause( 157, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_Orderings_Omax'(
% 0.85/1.22 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 't_b' ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 1, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_plus'( 'v_g'( 'v_x'(
% 0.85/1.22 X ) ), 'c_times'( X, 'c_HOL_Oabs'( 'v_h'( 'v_x'( X ) ), 't_b' ), 't_b' )
% 0.85/1.22 , 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 158, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_plus'( 'v_g'(
% 0.85/1.22 'v_x'( X ) ), 'c_times'( X, 'c_HOL_Oabs'( 'v_h'( 'v_x'( X ) ), 't_b' ),
% 0.85/1.22 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , clause( 159, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.85/1.22 , clause( 160, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.22 ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 4, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y
% 0.85/1.22 , 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ] )
% 0.85/1.22 , clause( 161, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_plus'( Y, 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 5, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_minus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_plus'( T, Z, X ), X ) ] )
% 0.85/1.22 , clause( 162, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.22 ~( 'c_lessequals'( 'c_minus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_plus'( T, Z, X ), X ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 6, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'(
% 0.85/1.22 Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 0.85/1.22 , clause( 163, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_minus'( Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 197, [ =( 'c_uminus'( 'c_plus'( X, Y, Z ), Z ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, Z ), Y, Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z
% 0.85/1.22 ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , clause( 4, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.85/1.22 Y, 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ] )
% 0.85/1.22 , 1, clause( 164, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ),
% 0.85/1.22 'c_uminus'( Z, X ), X ) ) ] )
% 0.85/1.22 , 1, 7, substitution( 0, [ :=( X, Z ), :=( Y, 'c_uminus'( X, Z ) ), :=( Z,
% 0.85/1.22 Y )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 198, [ =( 'c_minus'( 'c_uminus'( X, Z ), Y, Z ), 'c_uminus'(
% 0.85/1.22 'c_plus'( X, Y, Z ), Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z )
% 0.85/1.22 ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , clause( 197, [ =( 'c_uminus'( 'c_plus'( X, Y, Z ), Z ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, Z ), Y, Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z
% 0.85/1.22 ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 factor(
% 0.85/1.22 clause( 199, [ =( 'c_minus'( 'c_uminus'( X, Y ), Z, Y ), 'c_uminus'(
% 0.85/1.22 'c_plus'( X, Z, Y ), Y ) ), ~( 'class_OrderedGroup_Oab__group__add'( Y )
% 0.85/1.22 ) ] )
% 0.85/1.22 , clause( 198, [ =( 'c_minus'( 'c_uminus'( X, Z ), Y, Z ), 'c_uminus'(
% 0.85/1.22 'c_plus'( X, Y, Z ), Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z )
% 0.85/1.22 ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 7, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'(
% 0.85/1.22 'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_plus'( Y, Z, X ), X ) ) ] )
% 0.85/1.22 , clause( 199, [ =( 'c_minus'( 'c_uminus'( X, Y ), Z, Y ), 'c_uminus'(
% 0.85/1.22 'c_plus'( X, Z, Y ), Y ) ), ~( 'class_OrderedGroup_Oab__group__add'( Y )
% 0.85/1.22 ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 8, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 0.85/1.22 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 0.85/1.22 , clause( 165, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 9, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 0.85/1.22 'c_uminus'( Y, X ), X ), Y ) ] )
% 0.85/1.22 , clause( 166, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_uminus'( Y, X ), X ), Y ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 ), ==>( 1, 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 10, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_Orderings_Omax'( Z, Y, X ), X ) ] )
% 0.85/1.22 , clause( 167, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_Orderings_Omax'( Z, Y, X ), X ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 11, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 0.85/1.22 , clause( 168, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 12, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.85/1.22 , clause( 169, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.85/1.22 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 13, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_Orderings_Olinorder'( X ) ] )
% 0.85/1.22 , clause( 170, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_Orderings_Olinorder'( X ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.85/1.22 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 14, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 , clause( 171, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.85/1.22 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 15, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.85/1.22 , clause( 172, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.85/1.22 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 248, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.85/1.22 , clause( 15, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.85/1.22 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 16, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.85/1.22 , clause( 248, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 249, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.85/1.22 , clause( 14, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 17, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.85/1.22 , clause( 249, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.85/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 250, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.85/1.22 , clause( 13, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_Orderings_Olinorder'( X ) ] )
% 0.85/1.22 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 18, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.85/1.22 , clause( 250, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.85/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 251, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.85/1.22 , clause( 12, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.85/1.22 , 0, clause( 16, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' )
% 0.85/1.22 ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 19, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.85/1.22 , clause( 251, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 252, [ 'c_lessequals'( X, 'c_Orderings_Omax'( Y, X, 't_b' ), 't_b'
% 0.85/1.22 ) ] )
% 0.85/1.22 , clause( 10, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_Orderings_Omax'( Z, Y, X ), X ) ] )
% 0.85/1.22 , 0, clause( 18, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y )] ),
% 0.85/1.22 substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 21, [ 'c_lessequals'( X, 'c_Orderings_Omax'( Y, X, 't_b' ), 't_b' )
% 0.85/1.22 ] )
% 0.85/1.22 , clause( 252, [ 'c_lessequals'( X, 'c_Orderings_Omax'( Y, X, 't_b' ),
% 0.85/1.22 't_b' ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 253, [ =( X, 'c_HOL_Oabs'( X, Y ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Olordered__ab__group__abs'( Y ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_0', X, Y ) ) ] )
% 0.85/1.22 , clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.85/1.22 ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.85/1.22 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 254, [ =( X, 'c_HOL_Oabs'( X, 't_b' ) ), ~( 'c_lessequals'( 'c_0',
% 0.85/1.22 X, 't_b' ) ) ] )
% 0.85/1.22 , clause( 253, [ =( X, 'c_HOL_Oabs'( X, Y ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Olordered__ab__group__abs'( Y ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_0', X, Y ) ) ] )
% 0.85/1.22 , 1, clause( 16, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' )
% 0.85/1.22 ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' )] ), substitution( 1, [] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 255, [ =( 'c_HOL_Oabs'( X, 't_b' ), X ), ~( 'c_lessequals'( 'c_0',
% 0.85/1.22 X, 't_b' ) ) ] )
% 0.85/1.22 , clause( 254, [ =( X, 'c_HOL_Oabs'( X, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 0.85/1.22 , X, 't_b' ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 26, [ ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), =( 'c_HOL_Oabs'( X,
% 0.85/1.22 't_b' ), X ) ] )
% 0.85/1.22 , clause( 255, [ =( 'c_HOL_Oabs'( X, 't_b' ), X ), ~( 'c_lessequals'( 'c_0'
% 0.85/1.22 , X, 't_b' ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.85/1.22 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 257, [ 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X ),
% 0.85/1.22 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.85/1.22 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ), ~( 'c_lessequals'( 'c_0',
% 0.85/1.22 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ), 'c_0',
% 0.85/1.22 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 26, [ ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), =( 'c_HOL_Oabs'( X
% 0.85/1.22 , 't_b' ), X ) ] )
% 0.85/1.22 , 1, clause( 0, [ 'c_lessequals'( 'c_HOL_Oabs'( 'c_Orderings_Omax'(
% 0.85/1.22 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 't_b' ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 , 0, 1, substitution( 0, [ :=( X, 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X )
% 0.85/1.22 , 'v_g'( X ), 't_b' ), 'c_0', 't_b' ) )] ), substitution( 1, [ :=( X, X )] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 261, [ 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X ),
% 0.85/1.22 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.85/1.22 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 , clause( 257, [ 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X )
% 0.85/1.22 , 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.85/1.22 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ), ~( 'c_lessequals'( 'c_0',
% 0.85/1.22 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ), 'c_0',
% 0.85/1.22 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 1, clause( 21, [ 'c_lessequals'( X, 'c_Orderings_Omax'( Y, X, 't_b' ),
% 0.85/1.22 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'c_0' ),
% 0.85/1.22 :=( Y, 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ) )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 28, [ 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X ),
% 0.85/1.22 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.85/1.22 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 , clause( 261, [ 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X )
% 0.85/1.22 , 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.85/1.22 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 262, [ =( X, 'c_uminus'( 'c_uminus'( X, Y ), Y ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 0.85/1.22 , clause( 9, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_uminus'( Y, X ), X ), Y ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 263, [ =( X, 'c_uminus'( 'c_uminus'( X, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 262, [ =( X, 'c_uminus'( 'c_uminus'( X, Y ), Y ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 0.85/1.22 , 1, clause( 17, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' )] ), substitution( 1, [] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 264, [ =( 'c_uminus'( 'c_uminus'( X, 't_b' ), 't_b' ), X ) ] )
% 0.85/1.22 , clause( 263, [ =( X, 'c_uminus'( 'c_uminus'( X, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 29, [ =( 'c_uminus'( 'c_uminus'( X, 't_b' ), 't_b' ), X ) ] )
% 0.85/1.22 , clause( 264, [ =( 'c_uminus'( 'c_uminus'( X, 't_b' ), 't_b' ), X ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 265, [ =( X, 'c_uminus'( 'c_uminus'( X, Y ), Y ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 0.85/1.22 , clause( 9, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_uminus'( Y, X ), X ), Y ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 266, [ =( X, 'c_uminus'( 'c_uminus'( X, Y ), Y ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 , clause( 265, [ =( X, 'c_uminus'( 'c_uminus'( X, Y ), Y ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 0.85/1.22 , 1, clause( 14, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.85/1.22 , Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 267, [ =( 'c_uminus'( 'c_uminus'( X, Y ), Y ), X ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 , clause( 266, [ =( X, 'c_uminus'( 'c_uminus'( X, Y ), Y ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 30, [ =( 'c_uminus'( 'c_uminus'( X, Y ), Y ), X ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 , clause( 267, [ =( 'c_uminus'( 'c_uminus'( X, Y ), Y ), X ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 ), ==>( 1, 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 268, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( X, 'c_uminus'( Y, Z ), Z
% 0.85/1.22 ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , clause( 4, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.85/1.22 Y, 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 269, [ =( 'c_minus'( X, Y, 't_b' ), 'c_plus'( X, 'c_uminus'( Y,
% 0.85/1.22 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 268, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( X, 'c_uminus'( Y, Z ),
% 0.85/1.22 Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , 1, clause( 17, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 't_b' )] ),
% 0.85/1.22 substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 270, [ =( 'c_plus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 X, Y, 't_b' ) ) ] )
% 0.85/1.22 , clause( 269, [ =( 'c_minus'( X, Y, 't_b' ), 'c_plus'( X, 'c_uminus'( Y,
% 0.85/1.22 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 31, [ =( 'c_plus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_minus'( X
% 0.85/1.22 , Y, 't_b' ) ) ] )
% 0.85/1.22 , clause( 270, [ =( 'c_plus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 X, Y, 't_b' ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 271, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( X, 'c_uminus'( Y, Z ), Z
% 0.85/1.22 ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , clause( 4, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.85/1.22 Y, 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 272, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( X, 'c_uminus'( Y, Z ), Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 271, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( X, 'c_uminus'( Y, Z ),
% 0.85/1.22 Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , 1, clause( 14, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 substitution( 1, [ :=( X, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 273, [ =( 'c_plus'( X, 'c_uminus'( Y, Z ), Z ), 'c_minus'( X, Y, Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 272, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( X, 'c_uminus'( Y, Z ),
% 0.85/1.22 Z ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 32, [ =( 'c_plus'( X, 'c_uminus'( Y, Z ), Z ), 'c_minus'( X, Y, Z )
% 0.85/1.22 ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 273, [ =( 'c_plus'( X, 'c_uminus'( Y, Z ), Z ), 'c_minus'( X, Y,
% 0.85/1.22 Z ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 275, [ =( 'c_minus'( X, Y, 't_b' ), 'c_plus'( X, 'c_uminus'( Y,
% 0.85/1.22 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 31, [ =( 'c_plus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 X, Y, 't_b' ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 276, [ =( 'c_minus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 X, Y, 't_b' ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ]
% 0.85/1.22 )
% 0.85/1.22 , clause( 30, [ =( 'c_uminus'( 'c_uminus'( X, Y ), Y ), X ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 , 0, clause( 275, [ =( 'c_minus'( X, Y, 't_b' ), 'c_plus'( X, 'c_uminus'( Y
% 0.85/1.22 , 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, 't_b' )] ), substitution( 1
% 0.85/1.22 , [ :=( X, X ), :=( Y, 'c_uminus'( Y, 't_b' ) )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 277, [ =( 'c_minus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 X, Y, 't_b' ) ) ] )
% 0.85/1.22 , clause( 276, [ =( 'c_minus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 X, Y, 't_b' ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ]
% 0.85/1.22 )
% 0.85/1.22 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 33, [ =( 'c_minus'( Y, 'c_uminus'( X, 't_b' ), 't_b' ), 'c_plus'( Y
% 0.85/1.22 , X, 't_b' ) ) ] )
% 0.85/1.22 , clause( 277, [ =( 'c_minus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 X, Y, 't_b' ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 279, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( Y, Z, X ), T, X ) ),
% 0.85/1.22 'c_lessequals'( Y, T, X ), ~( 'class_Ring__and__Field_Oordered__idom'( X
% 0.85/1.22 ) ) ] )
% 0.85/1.22 , clause( 11, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 0.85/1.22 , 0, clause( 13, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_Orderings_Olinorder'( X ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.85/1.22 substitution( 1, [ :=( X, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 56, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( X, Y, Z ), T, Z ) ),
% 0.85/1.22 'c_lessequals'( X, T, Z ), ~( 'class_Ring__and__Field_Oordered__idom'( Z
% 0.85/1.22 ) ) ] )
% 0.85/1.22 , clause( 279, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( Y, Z, X ), T, X ) )
% 0.85/1.22 , 'c_lessequals'( Y, T, X ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.22 X ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 280, [ =( 'c_plus'( X, Y, Z ), 'c_minus'( X, 'c_uminus'( Y, Z ), Z
% 0.85/1.22 ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , clause( 6, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'(
% 0.85/1.22 Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 281, [ =( 'c_plus'( X, Y, Z ), 'c_minus'( X, 'c_uminus'( Y, Z ), Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 280, [ =( 'c_plus'( X, Y, Z ), 'c_minus'( X, 'c_uminus'( Y, Z ),
% 0.85/1.22 Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , 1, clause( 14, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 substitution( 1, [ :=( X, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 282, [ =( 'c_minus'( X, 'c_uminus'( Y, Z ), Z ), 'c_plus'( X, Y, Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 281, [ =( 'c_plus'( X, Y, Z ), 'c_minus'( X, 'c_uminus'( Y, Z ),
% 0.85/1.22 Z ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 64, [ =( 'c_minus'( X, 'c_uminus'( Y, Z ), Z ), 'c_plus'( X, Y, Z )
% 0.85/1.22 ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 282, [ =( 'c_minus'( X, 'c_uminus'( Y, Z ), Z ), 'c_plus'( X, Y,
% 0.85/1.22 Z ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 283, [ =( 'c_uminus'( 'c_plus'( X, Z, Y ), Y ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, Y ), Z, Y ) ), ~( 'class_OrderedGroup_Oab__group__add'( Y
% 0.85/1.22 ) ) ] )
% 0.85/1.22 , clause( 7, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'(
% 0.85/1.22 'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_plus'( Y, Z, X ), X ) ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 284, [ =( 'c_uminus'( 'c_plus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, 't_b' ), Y, 't_b' ) ) ] )
% 0.85/1.22 , clause( 283, [ =( 'c_uminus'( 'c_plus'( X, Z, Y ), Y ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, Y ), Z, Y ) ), ~( 'class_OrderedGroup_Oab__group__add'( Y
% 0.85/1.22 ) ) ] )
% 0.85/1.22 , 1, clause( 17, [ 'class_OrderedGroup_Oab__group__add'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' ), :=( Z, Y )] ),
% 0.85/1.22 substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 285, [ =( 'c_minus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ), 'c_uminus'(
% 0.85/1.22 'c_plus'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 284, [ =( 'c_uminus'( 'c_plus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, 't_b' ), Y, 't_b' ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 70, [ =( 'c_minus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ), 'c_uminus'(
% 0.85/1.22 'c_plus'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 285, [ =( 'c_minus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ),
% 0.85/1.22 'c_uminus'( 'c_plus'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 286, [ =( 'c_uminus'( 'c_plus'( X, Z, Y ), Y ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, Y ), Z, Y ) ), ~( 'class_OrderedGroup_Oab__group__add'( Y
% 0.85/1.22 ) ) ] )
% 0.85/1.22 , clause( 7, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'(
% 0.85/1.22 'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_plus'( Y, Z, X ), X ) ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 290, [ =( 'c_uminus'( 'c_plus'( X, 'c_uminus'( Y, Z ), Z ), Z ),
% 0.85/1.22 'c_plus'( 'c_uminus'( X, Z ), Y, Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , clause( 64, [ =( 'c_minus'( X, 'c_uminus'( Y, Z ), Z ), 'c_plus'( X, Y, Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 0, clause( 286, [ =( 'c_uminus'( 'c_plus'( X, Z, Y ), Y ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, Y ), Z, Y ) ), ~( 'class_OrderedGroup_Oab__group__add'( Y
% 0.85/1.22 ) ) ] )
% 0.85/1.22 , 0, 9, substitution( 0, [ :=( X, 'c_uminus'( X, Z ) ), :=( Y, Y ), :=( Z,
% 0.85/1.22 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, 'c_uminus'( Y,
% 0.85/1.22 Z ) )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 291, [ =( 'c_uminus'( 'c_minus'( X, Y, Z ), Z ), 'c_plus'(
% 0.85/1.22 'c_uminus'( X, Z ), Y, Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , clause( 4, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 0.85/1.22 Y, 'c_uminus'( Z, X ), X ), 'c_minus'( Y, Z, X ) ) ] )
% 0.85/1.22 , 1, clause( 290, [ =( 'c_uminus'( 'c_plus'( X, 'c_uminus'( Y, Z ), Z ), Z
% 0.85/1.22 ), 'c_plus'( 'c_uminus'( X, Z ), Y, Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.85/1.22 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 factor(
% 0.85/1.22 clause( 292, [ =( 'c_uminus'( 'c_minus'( X, Y, Z ), Z ), 'c_plus'(
% 0.85/1.22 'c_uminus'( X, Z ), Y, Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 291, [ =( 'c_uminus'( 'c_minus'( X, Y, Z ), Z ), 'c_plus'(
% 0.85/1.22 'c_uminus'( X, Z ), Y, Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Z ) ) ] )
% 0.85/1.22 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 293, [ =( 'c_minus'( Y, X, Z ), 'c_plus'( 'c_uminus'( X, Z ), Y, Z
% 0.85/1.22 ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 8, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.22 'c_uminus'( 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 0.85/1.22 , 1, clause( 292, [ =( 'c_uminus'( 'c_minus'( X, Y, Z ), Z ), 'c_plus'(
% 0.85/1.22 'c_uminus'( X, Z ), Y, Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.85/1.22 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 factor(
% 0.85/1.22 clause( 294, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( 'c_uminus'( Y, Z ), X, Z
% 0.85/1.22 ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 293, [ =( 'c_minus'( Y, X, Z ), 'c_plus'( 'c_uminus'( X, Z ), Y,
% 0.85/1.22 Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ), ~(
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 1, 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 295, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( 'c_uminus'( Y, Z ), X, Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 294, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( 'c_uminus'( Y, Z ), X,
% 0.85/1.22 Z ) ), ~( 'class_OrderedGroup_Oab__group__add'( Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 1, clause( 14, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.85/1.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 substitution( 1, [ :=( X, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 296, [ =( 'c_plus'( 'c_uminus'( Y, Z ), X, Z ), 'c_minus'( X, Y, Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , clause( 295, [ =( 'c_minus'( X, Y, Z ), 'c_plus'( 'c_uminus'( Y, Z ), X,
% 0.85/1.22 Z ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 factor(
% 0.85/1.22 clause( 297, [ =( 'c_plus'( 'c_uminus'( X, Y ), Z, Y ), 'c_minus'( Z, X, Y
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 , clause( 296, [ =( 'c_plus'( 'c_uminus'( Y, Z ), X, Z ), 'c_minus'( X, Y,
% 0.85/1.22 Z ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 1, 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 72, [ ~( 'class_Ring__and__Field_Oordered__idom'( Y ) ), =(
% 0.85/1.22 'c_plus'( 'c_uminus'( X, Y ), Z, Y ), 'c_minus'( Z, X, Y ) ) ] )
% 0.85/1.22 , clause( 297, [ =( 'c_plus'( 'c_uminus'( X, Y ), Z, Y ), 'c_minus'( Z, X,
% 0.85/1.22 Y ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 299, [ =( 'c_uminus'( 'c_plus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 'c_uminus'( X, 't_b' ), Y, 't_b' ) ) ] )
% 0.85/1.22 , clause( 70, [ =( 'c_minus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ),
% 0.85/1.22 'c_uminus'( 'c_plus'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 303, [ =( 'c_uminus'( 'c_plus'( X, 'c_uminus'( Y, 't_b' ), 't_b' )
% 0.85/1.22 , 't_b' ), 'c_plus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , clause( 64, [ =( 'c_minus'( X, 'c_uminus'( Y, Z ), Z ), 'c_plus'( X, Y, Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 0, clause( 299, [ =( 'c_uminus'( 'c_plus'( X, Y, 't_b' ), 't_b' ),
% 0.85/1.22 'c_minus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ) ) ] )
% 0.85/1.22 , 0, 9, substitution( 0, [ :=( X, 'c_uminus'( X, 't_b' ) ), :=( Y, Y ),
% 0.85/1.22 :=( Z, 't_b' )] ), substitution( 1, [ :=( X, X ), :=( Y, 'c_uminus'( Y,
% 0.85/1.22 't_b' ) )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 304, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 'c_uminus'( X, 't_b' ), Y, 't_b' ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , clause( 32, [ =( 'c_plus'( X, 'c_uminus'( Y, Z ), Z ), 'c_minus'( X, Y, Z
% 0.85/1.22 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.85/1.22 , 0, clause( 303, [ =( 'c_uminus'( 'c_plus'( X, 'c_uminus'( Y, 't_b' ),
% 0.85/1.22 't_b' ), 't_b' ), 'c_plus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 't_b' )] ),
% 0.85/1.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 factor(
% 0.85/1.22 clause( 305, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 'c_uminus'( X, 't_b' ), Y, 't_b' ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , clause( 304, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 'c_uminus'( X, 't_b' ), Y, 't_b' ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 306, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 Y, X, 't_b' ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ),
% 0.85/1.22 ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , clause( 72, [ ~( 'class_Ring__and__Field_Oordered__idom'( Y ) ), =(
% 0.85/1.22 'c_plus'( 'c_uminus'( X, Y ), Z, Y ), 'c_minus'( Z, X, Y ) ) ] )
% 0.85/1.22 , 1, clause( 305, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ),
% 0.85/1.22 'c_plus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, 't_b' ), :=( Z, Y )] ),
% 0.85/1.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 factor(
% 0.85/1.22 clause( 307, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 Y, X, 't_b' ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ]
% 0.85/1.22 )
% 0.85/1.22 , clause( 306, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ),
% 0.85/1.22 'c_minus'( Y, X, 't_b' ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.22 't_b' ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 308, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 Y, X, 't_b' ) ) ] )
% 0.85/1.22 , clause( 307, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ),
% 0.85/1.22 'c_minus'( Y, X, 't_b' ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.22 't_b' ) ) ] )
% 0.85/1.22 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 74, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 Y, X, 't_b' ) ) ] )
% 0.85/1.22 , clause( 308, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ),
% 0.85/1.22 'c_minus'( Y, X, 't_b' ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 311, [ =( 'c_minus'( Y, X, 't_b' ), 'c_uminus'( 'c_minus'( X, Y,
% 0.85/1.22 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 74, [ =( 'c_uminus'( 'c_minus'( X, Y, 't_b' ), 't_b' ), 'c_minus'(
% 0.85/1.22 Y, X, 't_b' ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 316, [ =( 'c_minus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_uminus'(
% 0.85/1.22 'c_uminus'( 'c_plus'( Y, X, 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , clause( 70, [ =( 'c_minus'( 'c_uminus'( X, 't_b' ), Y, 't_b' ),
% 0.85/1.22 'c_uminus'( 'c_plus'( X, Y, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 0, clause( 311, [ =( 'c_minus'( Y, X, 't_b' ), 'c_uminus'( 'c_minus'( X,
% 0.85/1.22 Y, 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.85/1.22 :=( X, 'c_uminus'( Y, 't_b' ) ), :=( Y, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 317, [ =( 'c_minus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 Y, X, 't_b' ) ) ] )
% 0.85/1.22 , clause( 29, [ =( 'c_uminus'( 'c_uminus'( X, 't_b' ), 't_b' ), X ) ] )
% 0.85/1.22 , 0, clause( 316, [ =( 'c_minus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ),
% 0.85/1.22 'c_uminus'( 'c_uminus'( 'c_plus'( Y, X, 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 0, 7, substitution( 0, [ :=( X, 'c_plus'( Y, X, 't_b' ) )] ),
% 0.85/1.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 318, [ =( 'c_plus'( X, Y, 't_b' ), 'c_plus'( Y, X, 't_b' ) ) ] )
% 0.85/1.22 , clause( 33, [ =( 'c_minus'( Y, 'c_uminus'( X, 't_b' ), 't_b' ), 'c_plus'(
% 0.85/1.22 Y, X, 't_b' ) ) ] )
% 0.85/1.22 , 0, clause( 317, [ =( 'c_minus'( X, 'c_uminus'( Y, 't_b' ), 't_b' ),
% 0.85/1.22 'c_plus'( Y, X, 't_b' ) ) ] )
% 0.85/1.22 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.85/1.22 :=( X, X ), :=( Y, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 78, [ =( 'c_plus'( X, Y, 't_b' ), 'c_plus'( Y, X, 't_b' ) ) ] )
% 0.85/1.22 , clause( 318, [ =( 'c_plus'( X, Y, 't_b' ), 'c_plus'( Y, X, 't_b' ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.22 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 319, [ 'c_lessequals'( X, 'c_plus'( Z, Y, 't_b' ), 't_b' ), ~(
% 0.85/1.22 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_minus'( X, Z, 't_b' ), Y, 't_b' ) ) ] )
% 0.85/1.22 , clause( 78, [ =( 'c_plus'( X, Y, 't_b' ), 'c_plus'( Y, X, 't_b' ) ) ] )
% 0.85/1.22 , 0, clause( 5, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.85/1.22 , ~( 'c_lessequals'( 'c_minus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_plus'( T, Z, X ), X ) ] )
% 0.85/1.22 , 2, 2, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.85/1.22 :=( X, 't_b' ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 321, [ 'c_lessequals'( X, 'c_plus'( Y, Z, 't_b' ), 't_b' ), ~(
% 0.85/1.22 'c_lessequals'( 'c_minus'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.85/1.22 , clause( 319, [ 'c_lessequals'( X, 'c_plus'( Z, Y, 't_b' ), 't_b' ), ~(
% 0.85/1.22 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_minus'( X, Z, 't_b' ), Y, 't_b' ) ) ] )
% 0.85/1.22 , 1, clause( 19, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.85/1.22 ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.85/1.22 substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 81, [ ~( 'c_lessequals'( 'c_minus'( Z, Y, 't_b' ), X, 't_b' ) ),
% 0.85/1.22 'c_lessequals'( Z, 'c_plus'( Y, X, 't_b' ), 't_b' ) ] )
% 0.85/1.22 , clause( 321, [ 'c_lessequals'( X, 'c_plus'( Y, Z, 't_b' ), 't_b' ), ~(
% 0.85/1.22 'c_lessequals'( 'c_minus'( X, Y, 't_b' ), Z, 't_b' ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 322, [ 'c_lessequals'( 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ),
% 0.85/1.22 ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , clause( 56, [ ~( 'c_lessequals'( 'c_Orderings_Omax'( X, Y, Z ), T, Z ) )
% 0.85/1.22 , 'c_lessequals'( X, T, Z ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.22 Z ) ) ] )
% 0.85/1.22 , 0, clause( 28, [ 'c_lessequals'( 'c_Orderings_Omax'( 'c_minus'( 'v_f'( X
% 0.85/1.22 ), 'v_g'( X ), 't_b' ), 'c_0', 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.85/1.22 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ) )
% 0.85/1.22 , :=( Y, 'c_0' ), :=( Z, 't_b' ), :=( T, 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.85/1.22 'v_h'( X ), 't_b' ), 't_b' ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 323, [ 'c_lessequals'( 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 , clause( 322, [ 'c_lessequals'( 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' )
% 0.85/1.22 , 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ),
% 0.85/1.22 ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.85/1.22 , 1, clause( 2, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 110, [ 'c_lessequals'( 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 , clause( 323, [ 'c_lessequals'( 'c_minus'( 'v_f'( X ), 'v_g'( X ), 't_b' )
% 0.85/1.22 , 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ) ]
% 0.85/1.22 )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 324, [ 'c_lessequals'( 'v_f'( X ), 'c_plus'( 'v_g'( X ), 'c_times'(
% 0.85/1.22 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 , clause( 81, [ ~( 'c_lessequals'( 'c_minus'( Z, Y, 't_b' ), X, 't_b' ) ),
% 0.85/1.22 'c_lessequals'( Z, 'c_plus'( Y, X, 't_b' ), 't_b' ) ] )
% 0.85/1.22 , 0, clause( 110, [ 'c_lessequals'( 'c_minus'( 'v_f'( X ), 'v_g'( X ),
% 0.85/1.22 't_b' ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ),
% 0.85/1.22 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ),
% 0.85/1.22 't_b' ), 't_b' ) ), :=( Y, 'v_g'( X ) ), :=( Z, 'v_f'( X ) )] ),
% 0.85/1.22 substitution( 1, [ :=( X, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 144, [ 'c_lessequals'( 'v_f'( X ), 'c_plus'( 'v_g'( X ), 'c_times'(
% 0.85/1.22 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ] )
% 0.85/1.22 , clause( 324, [ 'c_lessequals'( 'v_f'( X ), 'c_plus'( 'v_g'( X ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ),
% 0.85/1.22 't_b' ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 resolution(
% 0.85/1.22 clause( 325, [] )
% 0.85/1.22 , clause( 1, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_plus'( 'v_g'(
% 0.85/1.22 'v_x'( X ) ), 'c_times'( X, 'c_HOL_Oabs'( 'v_h'( 'v_x'( X ) ), 't_b' ),
% 0.85/1.22 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.85/1.22 , 0, clause( 144, [ 'c_lessequals'( 'v_f'( X ), 'c_plus'( 'v_g'( X ),
% 0.85/1.22 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( X ), 't_b' ), 't_b' ), 't_b' ),
% 0.85/1.22 't_b' ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, 'v_c' )] ), substitution( 1, [ :=( X, 'v_x'(
% 0.85/1.22 'v_c' ) )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 155, [] )
% 0.85/1.22 , clause( 325, [] )
% 0.85/1.22 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 end.
% 0.85/1.22
% 0.85/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.22
% 0.85/1.22 Memory use:
% 0.85/1.22
% 0.85/1.22 space for terms: 2848
% 0.85/1.22 space for clauses: 14793
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 clauses generated: 2456
% 0.85/1.22 clauses kept: 156
% 0.85/1.22 clauses selected: 88
% 0.85/1.22 clauses deleted: 0
% 0.85/1.22 clauses inuse deleted: 0
% 0.85/1.22
% 0.85/1.22 subsentry: 1266
% 0.85/1.22 literals s-matched: 979
% 0.85/1.22 literals matched: 979
% 0.85/1.22 full subsumption: 0
% 0.85/1.22
% 0.85/1.22 checksum: 936480669
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 Bliksem ended
%------------------------------------------------------------------------------