TSTP Solution File: ANA023-10 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 18:38:22 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 8 05:32:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ =( ifeq2( X, X, Y, Z ), Y ) ],
% 0.42/1.06 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 0.42/1.06 [ =( ifeq2( 'class_OrderedGroup_Ocomm__monoid__add'( X ), true, 'c_plus'(
% 0.42/1.06 'c_0', Y, X ), Y ), Y ) ],
% 0.42/1.06 [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X ), true,
% 0.42/1.06 ifeq( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ), true, 'c_lessequals'(
% 0.42/1.06 'c_plus'( Y, T, X ), Z, X ), true ), true ), true ) ],
% 0.42/1.06 [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X ), true,
% 0.42/1.06 ifeq( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ), true, 'c_lessequals'(
% 0.42/1.06 Y, 'c_minus'( T, Z, X ), X ), true ), true ), true ) ],
% 0.42/1.06 [ =( ifeq( 'class_Orderings_Oorder'( X ), true, ifeq( 'c_lessequals'( Y
% 0.42/1.06 , Z, X ), true, ifeq( 'c_lessequals'( Z, T, X ), true, 'c_lessequals'( Y
% 0.42/1.06 , T, X ), true ), true ), true ), true ) ],
% 0.42/1.06 [ =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'( 'v_x' ),
% 0.42/1.06 't_b' ), 't_b' ), true ) ],
% 0.42/1.06 [ =( 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ), true ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ ~( =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' )
% 0.42/1.06 , 't_b' ), 't_b' ), true ) ) ],
% 0.42/1.06 [ =( ifeq( 'class_Orderings_Olinorder'( X ), true,
% 0.42/1.06 'class_Orderings_Oorder'( X ), true ), true ) ],
% 0.42/1.06 [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_OrderedGroup_Ocomm__monoid__add'( X ), true ), true ) ],
% 0.42/1.06 [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_Orderings_Olinorder'( X ), true ), true ) ],
% 0.42/1.06 [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_OrderedGroup_Opordered__ab__group__add'( X ), true ), true ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ =( 'class_Ring__and__Field_Oordered__idom'( 't_b' ), true ) ]
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.06 This is a pure equality problem
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 1
% 0.42/1.06 useeqrefl = 1
% 0.42/1.06 useeqfact = 1
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 5
% 0.42/1.06 usesimpres = 3
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = eqrewr
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.06
% 0.42/1.06 termordering = kbo
% 0.42/1.06
% 0.42/1.06 litapriori = 0
% 0.42/1.06 termapriori = 1
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negord
% 0.42/1.06
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 1
% 0.42/1.06 increasemaxweight = 1
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ifeq2 [42, 4] (w:1, o:65, a:1, s:1, b:0),
% 0.42/1.06 ifeq [43, 4] (w:1, o:66, a:1, s:1, b:0),
% 0.42/1.06 'class_OrderedGroup_Ocomm__monoid__add' [45, 1] (w:1, o:29, a:1, s:1
% 0.42/1.06 , b:0),
% 0.42/1.06 true [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.06 'c_0' [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.42/1.06 'c_plus' [49, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.42/1.06 'class_OrderedGroup_Opordered__ab__group__add' [50, 1] (w:1, o:30, a:
% 0.42/1.06 1, s:1, b:0),
% 0.42/1.06 'c_minus' [54, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.42/1.06 'c_lessequals' [55, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.42/1.06 'class_Orderings_Oorder' [56, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.42/1.06 'v_x' [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.06 'v_k' [60, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.42/1.06 'v_g' [61, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.42/1.06 't_b' [62, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.42/1.06 'v_f' [63, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.42/1.06 'class_Orderings_Olinorder' [65, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.42/1.06 'class_Ring__and__Field_Oordered__idom' [66, 1] (w:1, o:36, a:1, s:1
% 0.42/1.06 , b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06 Resimplifying inuse:
% 0.42/1.06 Done
% 0.42/1.06
% 0.42/1.06 Failed to find proof!
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06 Generated: 121
% 0.42/1.06 Kept: 33
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 The strategy used was not complete!
% 0.42/1.06
% 0.42/1.06 Increased maxweight to 16
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 2, [ =( ifeq2( 'class_OrderedGroup_Ocomm__monoid__add'( X ), true,
% 0.42/1.06 'c_plus'( 'c_0', Y, X ), Y ), Y ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 3, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X ),
% 0.42/1.06 true, ifeq( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ), true,
% 0.42/1.06 'c_lessequals'( 'c_plus'( Y, T, X ), Z, X ), true ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X ),
% 0.42/1.06 true, ifeq( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ), true,
% 0.42/1.06 'c_lessequals'( Y, 'c_minus'( T, Z, X ), X ), true ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 5, [ =( ifeq( 'class_Orderings_Oorder'( X ), true, ifeq(
% 0.42/1.06 'c_lessequals'( Y, Z, X ), true, ifeq( 'c_lessequals'( Z, T, X ), true,
% 0.42/1.06 'c_lessequals'( Y, T, X ), true ), true ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 6, [ =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'(
% 0.42/1.06 'v_x' ), 't_b' ), 't_b' ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 7, [ =( 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ),
% 0.42/1.06 true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 8, [ ~( =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'(
% 0.42/1.06 'v_x' ), 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 9, [ =( ifeq( 'class_Orderings_Olinorder'( X ), true,
% 0.42/1.06 'class_Orderings_Oorder'( X ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 10, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_OrderedGroup_Ocomm__monoid__add'( X ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 11, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_Orderings_Olinorder'( X ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 12, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_OrderedGroup_Opordered__ab__group__add'( X ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 13, [ =( 'class_Ring__and__Field_Oordered__idom'( 't_b' ), true ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 14, [ =( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ),
% 0.42/1.06 true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 15, [ =( 'class_Orderings_Olinorder'( 't_b' ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 16, [ =( 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ), true ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 17, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 19, [ =( 'class_Orderings_Oorder'( 't_b' ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 20, [ =( ifeq( 'c_lessequals'( X, Y, 't_b' ), true, 'c_lessequals'(
% 0.42/1.06 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 22, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ),
% 0.42/1.06 true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 23, [ =( ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true,
% 0.42/1.06 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ), true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 28, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ),
% 0.42/1.06 true ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 37, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 39, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 , clause( 40, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 , clause( 41, [ =( ifeq2( 'class_OrderedGroup_Ocomm__monoid__add'( X ),
% 0.42/1.06 true, 'c_plus'( 'c_0', Y, X ), Y ), Y ) ] )
% 0.42/1.06 , clause( 42, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X
% 0.42/1.06 ), true, ifeq( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ), true,
% 0.42/1.06 'c_lessequals'( 'c_plus'( Y, T, X ), Z, X ), true ), true ), true ) ] )
% 0.42/1.06 , clause( 43, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X
% 0.42/1.06 ), true, ifeq( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ), true,
% 0.42/1.06 'c_lessequals'( Y, 'c_minus'( T, Z, X ), X ), true ), true ), true ) ] )
% 0.42/1.06 , clause( 44, [ =( ifeq( 'class_Orderings_Oorder'( X ), true, ifeq(
% 0.42/1.06 'c_lessequals'( Y, Z, X ), true, ifeq( 'c_lessequals'( Z, T, X ), true,
% 0.42/1.06 'c_lessequals'( Y, T, X ), true ), true ), true ), true ) ] )
% 0.42/1.06 , clause( 45, [ =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'(
% 0.42/1.06 'v_x' ), 't_b' ), 't_b' ), true ) ] )
% 0.42/1.06 , clause( 46, [ =( 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.42/1.06 , true ) ] )
% 0.42/1.06 , clause( 47, [ ~( =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ),
% 0.42/1.06 'v_g'( 'v_x' ), 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.06 , clause( 48, [ =( ifeq( 'class_Orderings_Olinorder'( X ), true,
% 0.42/1.06 'class_Orderings_Oorder'( X ), true ), true ) ] )
% 0.42/1.06 , clause( 49, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.06 , 'class_OrderedGroup_Ocomm__monoid__add'( X ), true ), true ) ] )
% 0.42/1.06 , clause( 50, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.06 , 'class_Orderings_Olinorder'( X ), true ), true ) ] )
% 0.42/1.06 , clause( 51, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.06 , 'class_OrderedGroup_Opordered__ab__group__add'( X ), true ), true ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 52, [ =( 'class_Ring__and__Field_Oordered__idom'( 't_b' ), true )
% 0.42/1.06 ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 , clause( 39, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 , clause( 40, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 2, [ =( ifeq2( 'class_OrderedGroup_Ocomm__monoid__add'( X ), true,
% 0.42/1.06 'c_plus'( 'c_0', Y, X ), Y ), Y ) ] )
% 0.42/1.06 , clause( 41, [ =( ifeq2( 'class_OrderedGroup_Ocomm__monoid__add'( X ),
% 0.42/1.06 true, 'c_plus'( 'c_0', Y, X ), Y ), Y ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 3, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X ),
% 0.42/1.06 true, ifeq( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ), true,
% 0.42/1.06 'c_lessequals'( 'c_plus'( Y, T, X ), Z, X ), true ), true ), true ) ] )
% 0.42/1.06 , clause( 42, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X
% 0.42/1.06 ), true, ifeq( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ), true,
% 0.42/1.06 'c_lessequals'( 'c_plus'( Y, T, X ), Z, X ), true ), true ), true ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 4, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X ),
% 0.42/1.06 true, ifeq( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ), true,
% 0.42/1.06 'c_lessequals'( Y, 'c_minus'( T, Z, X ), X ), true ), true ), true ) ] )
% 0.42/1.06 , clause( 43, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X
% 0.42/1.06 ), true, ifeq( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ), true,
% 0.42/1.06 'c_lessequals'( Y, 'c_minus'( T, Z, X ), X ), true ), true ), true ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 5, [ =( ifeq( 'class_Orderings_Oorder'( X ), true, ifeq(
% 0.42/1.06 'c_lessequals'( Y, Z, X ), true, ifeq( 'c_lessequals'( Z, T, X ), true,
% 0.42/1.06 'c_lessequals'( Y, T, X ), true ), true ), true ), true ) ] )
% 0.42/1.06 , clause( 44, [ =( ifeq( 'class_Orderings_Oorder'( X ), true, ifeq(
% 0.42/1.06 'c_lessequals'( Y, Z, X ), true, ifeq( 'c_lessequals'( Z, T, X ), true,
% 0.42/1.06 'c_lessequals'( Y, T, X ), true ), true ), true ), true ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 6, [ =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'(
% 0.42/1.06 'v_x' ), 't_b' ), 't_b' ), true ) ] )
% 0.42/1.06 , clause( 45, [ =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'(
% 0.42/1.06 'v_x' ), 't_b' ), 't_b' ), true ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 7, [ =( 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ),
% 0.42/1.06 true ) ] )
% 0.42/1.06 , clause( 46, [ =( 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.42/1.06 , true ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 8, [ ~( =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'(
% 0.42/1.06 'v_x' ), 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.06 , clause( 47, [ ~( =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ),
% 0.42/1.06 'v_g'( 'v_x' ), 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 9, [ =( ifeq( 'class_Orderings_Olinorder'( X ), true,
% 0.42/1.06 'class_Orderings_Oorder'( X ), true ), true ) ] )
% 0.42/1.06 , clause( 48, [ =( ifeq( 'class_Orderings_Olinorder'( X ), true,
% 0.42/1.06 'class_Orderings_Oorder'( X ), true ), true ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 10, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_OrderedGroup_Ocomm__monoid__add'( X ), true ), true ) ] )
% 0.42/1.06 , clause( 49, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.06 , 'class_OrderedGroup_Ocomm__monoid__add'( X ), true ), true ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 11, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_Orderings_Olinorder'( X ), true ), true ) ] )
% 0.42/1.06 , clause( 50, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.06 , 'class_Orderings_Olinorder'( X ), true ), true ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 12, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true,
% 0.42/1.06 'class_OrderedGroup_Opordered__ab__group__add'( X ), true ), true ) ] )
% 0.42/1.06 , clause( 51, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.06 , 'class_OrderedGroup_Opordered__ab__group__add'( X ), true ), true ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 13, [ =( 'class_Ring__and__Field_Oordered__idom'( 't_b' ), true ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 52, [ =( 'class_Ring__and__Field_Oordered__idom'( 't_b' ), true )
% 0.42/1.06 ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 159, [ =( true, ifeq( 'class_Ring__and__Field_Oordered__idom'( X )
% 0.42/1.06 , true, 'class_OrderedGroup_Opordered__ab__group__add'( X ), true ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 12, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.06 , 'class_OrderedGroup_Opordered__ab__group__add'( X ), true ), true ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 161, [ =( true, ifeq( true, true,
% 0.42/1.06 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ), true ) ) ] )
% 0.42/1.06 , clause( 13, [ =( 'class_Ring__and__Field_Oordered__idom'( 't_b' ), true )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, clause( 159, [ =( true, ifeq( 'class_Ring__and__Field_Oordered__idom'(
% 0.42/1.06 X ), true, 'class_OrderedGroup_Opordered__ab__group__add'( X ), true ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 162, [ =( true, 'class_OrderedGroup_Opordered__ab__group__add'(
% 0.42/1.06 't_b' ) ) ] )
% 0.42/1.06 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 , 0, clause( 161, [ =( true, ifeq( true, true,
% 0.42/1.06 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ), true ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y,
% 0.42/1.06 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ), :=( Z, true )] )
% 0.42/1.06 , substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 163, [ =( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ),
% 0.42/1.06 true ) ] )
% 0.42/1.06 , clause( 162, [ =( true, 'class_OrderedGroup_Opordered__ab__group__add'(
% 0.42/1.06 't_b' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 14, [ =( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ),
% 0.42/1.06 true ) ] )
% 0.42/1.06 , clause( 163, [ =( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.42/1.06 , true ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 165, [ =( true, ifeq( 'class_Ring__and__Field_Oordered__idom'( X )
% 0.42/1.06 , true, 'class_Orderings_Olinorder'( X ), true ) ) ] )
% 0.42/1.06 , clause( 11, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.06 , 'class_Orderings_Olinorder'( X ), true ), true ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 167, [ =( true, ifeq( true, true, 'class_Orderings_Olinorder'(
% 0.42/1.06 't_b' ), true ) ) ] )
% 0.42/1.06 , clause( 13, [ =( 'class_Ring__and__Field_Oordered__idom'( 't_b' ), true )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, clause( 165, [ =( true, ifeq( 'class_Ring__and__Field_Oordered__idom'(
% 0.42/1.06 X ), true, 'class_Orderings_Olinorder'( X ), true ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 168, [ =( true, 'class_Orderings_Olinorder'( 't_b' ) ) ] )
% 0.42/1.06 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.06 , 0, clause( 167, [ =( true, ifeq( true, true, 'class_Orderings_Olinorder'(
% 0.42/1.06 't_b' ), true ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y,
% 0.42/1.06 'class_Orderings_Olinorder'( 't_b' ) ), :=( Z, true )] ), substitution( 1
% 0.42/1.06 , [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 169, [ =( 'class_Orderings_Olinorder'( 't_b' ), true ) ] )
% 0.42/1.06 , clause( 168, [ =( true, 'class_Orderings_Olinorder'( 't_b' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 15, [ =( 'class_Orderings_Olinorder'( 't_b' ), true ) ] )
% 0.42/1.06 , clause( 169, [ =( 'class_Orderings_Olinorder'( 't_b' ), true ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 171, [ =( true, ifeq( 'class_Ring__and__Field_Oordered__idom'( X )
% 0.42/1.06 , true, 'class_OrderedGroup_Ocomm__monoid__add'( X ), true ) ) ] )
% 0.42/1.06 , clause( 10, [ =( ifeq( 'class_Ring__and__Field_Oordered__idom'( X ), true
% 0.42/1.07 , 'class_OrderedGroup_Ocomm__monoid__add'( X ), true ), true ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 173, [ =( true, ifeq( true, true,
% 0.42/1.07 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ), true ) ) ] )
% 0.42/1.07 , clause( 13, [ =( 'class_Ring__and__Field_Oordered__idom'( 't_b' ), true )
% 0.42/1.07 ] )
% 0.42/1.07 , 0, clause( 171, [ =( true, ifeq( 'class_Ring__and__Field_Oordered__idom'(
% 0.42/1.07 X ), true, 'class_OrderedGroup_Ocomm__monoid__add'( X ), true ) ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 174, [ =( true, 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) )
% 0.42/1.07 ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 173, [ =( true, ifeq( true, true,
% 0.42/1.07 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y,
% 0.42/1.07 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ), :=( Z, true )] ),
% 0.42/1.07 substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 175, [ =( 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ), true )
% 0.42/1.07 ] )
% 0.42/1.07 , clause( 174, [ =( true, 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' )
% 0.42/1.07 ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 16, [ =( 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ), true ) ]
% 0.42/1.07 )
% 0.42/1.07 , clause( 175, [ =( 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ), true
% 0.42/1.07 ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 177, [ =( Y, ifeq2( 'class_OrderedGroup_Ocomm__monoid__add'( X ),
% 0.42/1.07 true, 'c_plus'( 'c_0', Y, X ), Y ) ) ] )
% 0.42/1.07 , clause( 2, [ =( ifeq2( 'class_OrderedGroup_Ocomm__monoid__add'( X ), true
% 0.42/1.07 , 'c_plus'( 'c_0', Y, X ), Y ), Y ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 179, [ =( X, ifeq2( true, true, 'c_plus'( 'c_0', X, 't_b' ), X ) )
% 0.42/1.07 ] )
% 0.42/1.07 , clause( 16, [ =( 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ), true )
% 0.42/1.07 ] )
% 0.42/1.07 , 0, clause( 177, [ =( Y, ifeq2( 'class_OrderedGroup_Ocomm__monoid__add'( X
% 0.42/1.07 ), true, 'c_plus'( 'c_0', Y, X ), Y ) ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' ), :=( Y, X
% 0.42/1.07 )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 180, [ =( X, 'c_plus'( 'c_0', X, 't_b' ) ) ] )
% 0.42/1.07 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 179, [ =( X, ifeq2( true, true, 'c_plus'( 'c_0', X, 't_b' ), X
% 0.42/1.07 ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_plus'( 'c_0', X, 't_b'
% 0.42/1.07 ) ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 181, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.42/1.07 , clause( 180, [ =( X, 'c_plus'( 'c_0', X, 't_b' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 17, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.42/1.07 , clause( 181, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 183, [ =( true, ifeq( 'class_Orderings_Olinorder'( X ), true,
% 0.42/1.07 'class_Orderings_Oorder'( X ), true ) ) ] )
% 0.42/1.07 , clause( 9, [ =( ifeq( 'class_Orderings_Olinorder'( X ), true,
% 0.42/1.07 'class_Orderings_Oorder'( X ), true ), true ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 185, [ =( true, ifeq( true, true, 'class_Orderings_Oorder'( 't_b' )
% 0.42/1.07 , true ) ) ] )
% 0.42/1.07 , clause( 15, [ =( 'class_Orderings_Olinorder'( 't_b' ), true ) ] )
% 0.42/1.07 , 0, clause( 183, [ =( true, ifeq( 'class_Orderings_Olinorder'( X ), true,
% 0.42/1.07 'class_Orderings_Oorder'( X ), true ) ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 186, [ =( true, 'class_Orderings_Oorder'( 't_b' ) ) ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 185, [ =( true, ifeq( true, true, 'class_Orderings_Oorder'(
% 0.42/1.07 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'class_Orderings_Oorder'(
% 0.42/1.07 't_b' ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 187, [ =( 'class_Orderings_Oorder'( 't_b' ), true ) ] )
% 0.42/1.07 , clause( 186, [ =( true, 'class_Orderings_Oorder'( 't_b' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 19, [ =( 'class_Orderings_Oorder'( 't_b' ), true ) ] )
% 0.42/1.07 , clause( 187, [ =( 'class_Orderings_Oorder'( 't_b' ), true ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 189, [ =( true, ifeq(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ), true, ifeq(
% 0.42/1.07 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ), true, 'c_lessequals'( Y,
% 0.42/1.07 'c_minus'( T, Z, X ), X ), true ), true ) ) ] )
% 0.42/1.07 , clause( 4, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 0.42/1.07 , true, ifeq( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ), true,
% 0.42/1.07 'c_lessequals'( Y, 'c_minus'( T, Z, X ), X ), true ), true ), true ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 192, [ =( true, ifeq(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ), true, ifeq(
% 0.42/1.07 'c_lessequals'( X, Y, 't_b' ), true, 'c_lessequals'( 'c_0', 'c_minus'( Y
% 0.42/1.07 , X, 't_b' ), 't_b' ), true ), true ) ) ] )
% 0.42/1.07 , clause( 17, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.42/1.07 , 0, clause( 189, [ =( true, ifeq(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ), true, ifeq(
% 0.42/1.07 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ), true, 'c_lessequals'( Y,
% 0.42/1.07 'c_minus'( T, Z, X ), X ), true ), true ) ) ] )
% 0.42/1.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 't_b' )
% 0.42/1.07 , :=( Y, 'c_0' ), :=( Z, X ), :=( T, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 193, [ =( true, ifeq( true, true, ifeq( 'c_lessequals'( X, Y, 't_b'
% 0.42/1.07 ), true, 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true
% 0.42/1.07 ), true ) ) ] )
% 0.42/1.07 , clause( 14, [ =( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.42/1.07 , true ) ] )
% 0.42/1.07 , 0, clause( 192, [ =( true, ifeq(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ), true, ifeq(
% 0.42/1.07 'c_lessequals'( X, Y, 't_b' ), true, 'c_lessequals'( 'c_0', 'c_minus'( Y
% 0.42/1.07 , X, 't_b' ), 't_b' ), true ), true ) ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 194, [ =( true, ifeq( 'c_lessequals'( X, Y, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 193, [ =( true, ifeq( true, true, ifeq( 'c_lessequals'( X, Y,
% 0.42/1.07 't_b' ), true, 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ),
% 0.42/1.07 true ), true ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'c_lessequals'( X, Y
% 0.42/1.07 , 't_b' ), true, 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' )
% 0.42/1.07 , true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 195, [ =( ifeq( 'c_lessequals'( X, Y, 't_b' ), true, 'c_lessequals'(
% 0.42/1.07 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ), true ) ] )
% 0.42/1.07 , clause( 194, [ =( true, ifeq( 'c_lessequals'( X, Y, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 20, [ =( ifeq( 'c_lessequals'( X, Y, 't_b' ), true, 'c_lessequals'(
% 0.42/1.07 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ), true ) ] )
% 0.42/1.07 , clause( 195, [ =( ifeq( 'c_lessequals'( X, Y, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ), true )
% 0.42/1.07 ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.07 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 197, [ =( true, ifeq(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ), true, ifeq(
% 0.42/1.07 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ), true, 'c_lessequals'(
% 0.42/1.07 'c_plus'( Y, T, X ), Z, X ), true ), true ) ) ] )
% 0.42/1.07 , clause( 3, [ =( ifeq( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 0.42/1.07 , true, ifeq( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ), true,
% 0.42/1.07 'c_lessequals'( 'c_plus'( Y, T, X ), Z, X ), true ), true ), true ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 202, [ =( true, ifeq(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ), true, ifeq( true
% 0.42/1.07 , true, 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_k'(
% 0.42/1.07 'v_x' ), 't_b' ), true ), true ) ) ] )
% 0.42/1.07 , clause( 6, [ =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_k'( 'v_x' ), 'v_g'(
% 0.42/1.07 'v_x' ), 't_b' ), 't_b' ), true ) ] )
% 0.42/1.07 , 0, clause( 197, [ =( true, ifeq(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( X ), true, ifeq(
% 0.42/1.07 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ), true, 'c_lessequals'(
% 0.42/1.07 'c_plus'( Y, T, X ), Z, X ), true ), true ) ) ] )
% 0.42/1.07 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' ), :=( Y,
% 0.42/1.07 'c_0' ), :=( Z, 'v_k'( 'v_x' ) ), :=( T, 'v_g'( 'v_x' ) )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 203, [ =( true, ifeq( true, true, ifeq( true, true, 'c_lessequals'(
% 0.42/1.07 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_k'( 'v_x' ), 't_b' ), true )
% 0.42/1.07 , true ) ) ] )
% 0.42/1.07 , clause( 14, [ =( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.42/1.07 , true ) ] )
% 0.42/1.07 , 0, clause( 202, [ =( true, ifeq(
% 0.42/1.07 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ), true, ifeq( true
% 0.42/1.07 , true, 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_k'(
% 0.42/1.07 'v_x' ), 't_b' ), true ), true ) ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 204, [ =( true, ifeq( true, true, 'c_lessequals'( 'c_plus'( 'c_0',
% 0.42/1.07 'v_g'( 'v_x' ), 't_b' ), 'v_k'( 'v_x' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 203, [ =( true, ifeq( true, true, ifeq( true, true,
% 0.42/1.07 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_k'( 'v_x' )
% 0.42/1.07 , 't_b' ), true ), true ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( true, true,
% 0.42/1.07 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_k'( 'v_x' )
% 0.42/1.07 , 't_b' ), true ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 206, [ =( true, 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ),
% 0.42/1.07 't_b' ), 'v_k'( 'v_x' ), 't_b' ) ) ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 204, [ =( true, ifeq( true, true, 'c_lessequals'( 'c_plus'(
% 0.42/1.07 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_k'( 'v_x' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_lessequals'( 'c_plus'(
% 0.42/1.07 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_k'( 'v_x' ), 't_b' ) ), :=( Z, true )] )
% 0.42/1.07 , substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 207, [ =( true, 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ),
% 0.42/1.07 't_b' ) ) ] )
% 0.42/1.07 , clause( 17, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.42/1.07 , 0, clause( 206, [ =( true, 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x'
% 0.42/1.07 ), 't_b' ), 'v_k'( 'v_x' ), 't_b' ) ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [ :=( X, 'v_g'( 'v_x' ) )] ), substitution( 1, [] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 208, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ),
% 0.42/1.07 true ) ] )
% 0.42/1.07 , clause( 207, [ =( true, 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ),
% 0.42/1.07 't_b' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 22, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ),
% 0.42/1.07 true ) ] )
% 0.42/1.07 , clause( 208, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' )
% 0.42/1.07 , true ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 210, [ =( true, ifeq( 'class_Orderings_Oorder'( X ), true, ifeq(
% 0.42/1.07 'c_lessequals'( Y, Z, X ), true, ifeq( 'c_lessequals'( Z, T, X ), true,
% 0.42/1.07 'c_lessequals'( Y, T, X ), true ), true ), true ) ) ] )
% 0.42/1.07 , clause( 5, [ =( ifeq( 'class_Orderings_Oorder'( X ), true, ifeq(
% 0.42/1.07 'c_lessequals'( Y, Z, X ), true, ifeq( 'c_lessequals'( Z, T, X ), true,
% 0.42/1.07 'c_lessequals'( Y, T, X ), true ), true ), true ), true ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 214, [ =( true, ifeq( 'class_Orderings_Oorder'( 't_b' ), true, ifeq(
% 0.42/1.07 true, true, ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ), true ), true ) ) ] )
% 0.42/1.07 , clause( 22, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' )
% 0.42/1.07 , true ) ] )
% 0.42/1.07 , 0, clause( 210, [ =( true, ifeq( 'class_Orderings_Oorder'( X ), true,
% 0.42/1.07 ifeq( 'c_lessequals'( Y, Z, X ), true, ifeq( 'c_lessequals'( Z, T, X ),
% 0.42/1.07 true, 'c_lessequals'( Y, T, X ), true ), true ), true ) ) ] )
% 0.42/1.07 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' ), :=( Y,
% 0.42/1.07 'v_g'( 'v_x' ) ), :=( Z, 'v_k'( 'v_x' ) ), :=( T, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 227, [ =( true, ifeq( true, true, ifeq( true, true, ifeq(
% 0.42/1.07 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true, 'c_lessequals'( 'v_g'(
% 0.42/1.07 'v_x' ), X, 't_b' ), true ), true ), true ) ) ] )
% 0.42/1.07 , clause( 19, [ =( 'class_Orderings_Oorder'( 't_b' ), true ) ] )
% 0.42/1.07 , 0, clause( 214, [ =( true, ifeq( 'class_Orderings_Oorder'( 't_b' ), true
% 0.42/1.07 , ifeq( true, true, ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ),
% 0.42/1.07 true, 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ), true ), true )
% 0.42/1.07 ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 228, [ =( true, ifeq( true, true, ifeq( 'c_lessequals'( 'v_k'(
% 0.42/1.07 'v_x' ), X, 't_b' ), true, 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ),
% 0.42/1.07 true ), true ) ) ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 227, [ =( true, ifeq( true, true, ifeq( true, true, ifeq(
% 0.42/1.07 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true, 'c_lessequals'( 'v_g'(
% 0.42/1.07 'v_x' ), X, 't_b' ), true ), true ), true ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( true, true, ifeq(
% 0.42/1.07 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true, 'c_lessequals'( 'v_g'(
% 0.42/1.07 'v_x' ), X, 't_b' ), true ), true ) ), :=( Z, true )] ), substitution( 1
% 0.42/1.07 , [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 230, [ =( true, ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ),
% 0.42/1.07 true, 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ) ) ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 228, [ =( true, ifeq( true, true, ifeq( 'c_lessequals'( 'v_k'(
% 0.42/1.07 'v_x' ), X, 't_b' ), true, 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ),
% 0.42/1.07 true ), true ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'c_lessequals'(
% 0.42/1.07 'v_k'( 'v_x' ), X, 't_b' ), true, 'c_lessequals'( 'v_g'( 'v_x' ), X,
% 0.42/1.07 't_b' ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 231, [ =( ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ), true ) ] )
% 0.42/1.07 , clause( 230, [ =( true, ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' )
% 0.42/1.07 , true, 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 23, [ =( ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ), true ) ] )
% 0.42/1.07 , clause( 231, [ =( ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true
% 0.42/1.07 , 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ), true ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 233, [ =( true, ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ),
% 0.42/1.07 true, 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ) ) ] )
% 0.42/1.07 , clause( 23, [ =( ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ), true ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 235, [ =( true, ifeq( true, true, 'c_lessequals'( 'v_g'( 'v_x' ),
% 0.42/1.07 'v_f'( 'v_x' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , clause( 7, [ =( 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ),
% 0.42/1.07 true ) ] )
% 0.42/1.07 , 0, clause( 233, [ =( true, ifeq( 'c_lessequals'( 'v_k'( 'v_x' ), X, 't_b'
% 0.42/1.07 ), true, 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_f'( 'v_x' ) )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 236, [ =( true, 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ),
% 0.42/1.07 't_b' ) ) ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 235, [ =( true, ifeq( true, true, 'c_lessequals'( 'v_g'( 'v_x'
% 0.42/1.07 ), 'v_f'( 'v_x' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_lessequals'( 'v_g'(
% 0.42/1.07 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ), :=( Z, true )] ), substitution( 1, [] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 237, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ),
% 0.42/1.07 true ) ] )
% 0.42/1.07 , clause( 236, [ =( true, 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ),
% 0.42/1.07 't_b' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 28, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ),
% 0.42/1.07 true ) ] )
% 0.42/1.07 , clause( 237, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.42/1.07 , true ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 239, [ =( true, ifeq( 'c_lessequals'( X, Y, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , clause( 20, [ =( ifeq( 'c_lessequals'( X, Y, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ), true )
% 0.42/1.07 ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 241, [ ~( =( true, 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' )
% 0.42/1.07 , 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ) ) ] )
% 0.42/1.07 , clause( 8, [ ~( =( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ),
% 0.42/1.07 'v_g'( 'v_x' ), 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 242, [ =( true, ifeq( true, true, 'c_lessequals'( 'c_0', 'c_minus'(
% 0.42/1.07 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , clause( 28, [ =( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.42/1.07 , true ) ] )
% 0.42/1.07 , 0, clause( 239, [ =( true, ifeq( 'c_lessequals'( X, Y, 't_b' ), true,
% 0.42/1.07 'c_lessequals'( 'c_0', 'c_minus'( Y, X, 't_b' ), 't_b' ), true ) ) ] )
% 0.42/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_g'( 'v_x' ) ),
% 0.42/1.07 :=( Y, 'v_f'( 'v_x' ) )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 paramod(
% 0.42/1.07 clause( 243, [ =( true, 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ),
% 0.42/1.07 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.42/1.07 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.42/1.07 , 0, clause( 242, [ =( true, ifeq( true, true, 'c_lessequals'( 'c_0',
% 0.42/1.07 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ), true ) ) ]
% 0.42/1.07 )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_lessequals'( 'c_0',
% 0.42/1.07 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ), :=( Z,
% 0.42/1.07 true )] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 244, [] )
% 0.42/1.07 , clause( 241, [ ~( =( true, 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x'
% 0.42/1.07 ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ) ) ] )
% 0.42/1.07 , 0, clause( 243, [ =( true, 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x'
% 0.42/1.07 ), 'v_g'( 'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 37, [] )
% 0.42/1.07 , clause( 244, [] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 end.
% 0.42/1.07
% 0.42/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.07
% 0.42/1.07 Memory use:
% 0.42/1.07
% 0.42/1.07 space for terms: 832
% 0.42/1.07 space for clauses: 5118
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 clauses generated: 117
% 0.42/1.07 clauses kept: 38
% 0.42/1.07 clauses selected: 30
% 0.42/1.07 clauses deleted: 1
% 0.42/1.07 clauses inuse deleted: 0
% 0.42/1.07
% 0.42/1.07 subsentry: 786
% 0.42/1.07 literals s-matched: 366
% 0.42/1.07 literals matched: 366
% 0.42/1.07 full subsumption: 0
% 0.42/1.07
% 0.42/1.07 checksum: 1534480357
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksem ended
%------------------------------------------------------------------------------