TSTP Solution File: ANA020-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA020-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 18:38:19 EDT 2022
% Result : Unsatisfiable 0.44s 1.07s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA020-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jul 8 06:12:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.44/1.07 *** allocated 10000 integers for termspace/termends
% 0.44/1.07 *** allocated 10000 integers for clauses
% 0.44/1.07 *** allocated 10000 integers for justifications
% 0.44/1.07 Bliksem 1.12
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Automatic Strategy Selection
% 0.44/1.07
% 0.44/1.07 Clauses:
% 0.44/1.07 [
% 0.44/1.07 [ =( 'v_f'( 'c_0' ), 'c_0' ) ],
% 0.44/1.07 [ 'c_less'( 'c_0', 'v_c', 't_a' ) ],
% 0.44/1.07 [ =( 'v_x', 'c_0' ) ],
% 0.44/1.07 [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_a' ), 'c_times'(
% 0.44/1.07 'v_c', 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ), 't_a' ), 't_a' ) ) ],
% 0.44/1.07 [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ],
% 0.44/1.07 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 0.44/1.07 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 0.44/1.07 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 0.44/1.07 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ),
% 0.44/1.07 'c_lessequals'( Y, Z, X ) ],
% 0.44/1.07 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), ~(
% 0.44/1.07 'c_lessequals'( 'c_0', Y, X ) ), ~( 'c_lessequals'( 'c_0', Z, X ) ),
% 0.44/1.07 'c_lessequals'( 'c_0', 'c_times'( Z, Y, X ), X ) ],
% 0.44/1.07 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.44/1.07 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Orderings_Oorder'( X ) ],
% 0.44/1.07 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ]
% 0.44/1.07 ] .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 percentage equality = 0.136364, percentage horn = 1.000000
% 0.44/1.07 This is a problem with some equality
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Options Used:
% 0.44/1.07
% 0.44/1.07 useres = 1
% 0.44/1.07 useparamod = 1
% 0.44/1.07 useeqrefl = 1
% 0.44/1.07 useeqfact = 1
% 0.44/1.07 usefactor = 1
% 0.44/1.07 usesimpsplitting = 0
% 0.44/1.07 usesimpdemod = 5
% 0.44/1.07 usesimpres = 3
% 0.44/1.07
% 0.44/1.07 resimpinuse = 1000
% 0.44/1.07 resimpclauses = 20000
% 0.44/1.07 substype = eqrewr
% 0.44/1.07 backwardsubs = 1
% 0.44/1.07 selectoldest = 5
% 0.44/1.07
% 0.44/1.07 litorderings [0] = split
% 0.44/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.07
% 0.44/1.07 termordering = kbo
% 0.44/1.07
% 0.44/1.07 litapriori = 0
% 0.44/1.07 termapriori = 1
% 0.44/1.07 litaposteriori = 0
% 0.44/1.07 termaposteriori = 0
% 0.44/1.07 demodaposteriori = 0
% 0.44/1.07 ordereqreflfact = 0
% 0.44/1.07
% 0.44/1.07 litselect = negord
% 0.44/1.07
% 0.44/1.07 maxweight = 15
% 0.44/1.07 maxdepth = 30000
% 0.44/1.07 maxlength = 115
% 0.44/1.07 maxnrvars = 195
% 0.44/1.07 excuselevel = 1
% 0.44/1.07 increasemaxweight = 1
% 0.44/1.07
% 0.44/1.07 maxselected = 10000000
% 0.44/1.07 maxnrclauses = 10000000
% 0.44/1.07
% 0.44/1.07 showgenerated = 0
% 0.44/1.07 showkept = 0
% 0.44/1.07 showselected = 0
% 0.44/1.07 showdeleted = 0
% 0.44/1.07 showresimp = 1
% 0.44/1.07 showstatus = 2000
% 0.44/1.07
% 0.44/1.07 prologoutput = 1
% 0.44/1.07 nrgoals = 5000000
% 0.44/1.07 totalproof = 1
% 0.44/1.07
% 0.44/1.07 Symbols occurring in the translation:
% 0.44/1.07
% 0.44/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.07 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.44/1.07 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.44/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 'c_0' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.44/1.07 'v_f' [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.44/1.07 'v_c' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.44/1.07 't_a' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.44/1.07 'c_less' [43, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.44/1.07 'v_x' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.07 'c_HOL_Oabs' [45, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.44/1.07 'v_h' [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.44/1.07 'c_times' [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.44/1.07 'c_lessequals' [48, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.44/1.07 'class_Ring__and__Field_Oordered__idom' [49, 1] (w:1, o:26, a:1, s:1
% 0.44/1.07 , b:0),
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs' [51, 1] (w:1, o:27, a:
% 0.44/1.07 1, s:1, b:0),
% 0.44/1.07 'class_Orderings_Oorder' [53, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.44/1.07 'class_Ring__and__Field_Opordered__cancel__semiring' [56, 1] (w:1, o:
% 0.44/1.07 29, a:1, s:1, b:0).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Starting Search:
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Bliksems!, er is een bewijs:
% 0.44/1.07 % SZS status Unsatisfiable
% 0.44/1.07 % SZS output start Refutation
% 0.44/1.07
% 0.44/1.07 clause( 0, [ =( 'v_f'( 'c_0' ), 'c_0' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 1, [ 'c_less'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 2, [ =( 'v_x', 'c_0' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 3, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', 't_a' ), 'c_times'(
% 0.44/1.07 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 5, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 0.44/1.07 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ),
% 0.44/1.07 'c_lessequals'( Y, Z, X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 8, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) )
% 0.44/1.07 , ~( 'c_lessequals'( 'c_0', Y, X ) ), ~( 'c_lessequals'( 'c_0', Z, X ) )
% 0.44/1.07 , 'c_lessequals'( 'c_0', 'c_times'( Z, Y, X ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Orderings_Oorder'( X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 14, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 15, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 't_a' )
% 0.44/1.07 ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 18, [ ~( 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.44/1.07 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 19, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 27, [ 'c_lessequals'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 37, [ ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'( 'c_0'
% 0.44/1.07 , 'c_times'( 'v_c', X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 218, [] )
% 0.44/1.07 .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 % SZS output end Refutation
% 0.44/1.07 found a proof!
% 0.44/1.07
% 0.44/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07
% 0.44/1.07 initialclauses(
% 0.44/1.07 [ clause( 220, [ =( 'v_f'( 'c_0' ), 'c_0' ) ] )
% 0.44/1.07 , clause( 221, [ 'c_less'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , clause( 222, [ =( 'v_x', 'c_0' ) ] )
% 0.44/1.07 , clause( 223, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_a' ),
% 0.44/1.07 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ), 't_a' ), 't_a' )
% 0.44/1.07 ) ] )
% 0.44/1.07 , clause( 224, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.44/1.07 , clause( 225, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 =( 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 0.44/1.07 , clause( 226, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.44/1.07 , clause( 227, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X )
% 0.44/1.07 ), 'c_lessequals'( Y, Z, X ) ] )
% 0.44/1.07 , clause( 228, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X
% 0.44/1.07 ) ), ~( 'c_lessequals'( 'c_0', Y, X ) ), ~( 'c_lessequals'( 'c_0', Z, X
% 0.44/1.07 ) ), 'c_lessequals'( 'c_0', 'c_times'( Z, Y, X ), X ) ] )
% 0.44/1.07 , clause( 229, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.44/1.07 , clause( 230, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Orderings_Oorder'( X ) ] )
% 0.44/1.07 , clause( 231, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.44/1.07 ] ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 0, [ =( 'v_f'( 'c_0' ), 'c_0' ) ] )
% 0.44/1.07 , clause( 220, [ =( 'v_f'( 'c_0' ), 'c_0' ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 1, [ 'c_less'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , clause( 221, [ 'c_less'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 2, [ =( 'v_x', 'c_0' ) ] )
% 0.44/1.07 , clause( 222, [ =( 'v_x', 'c_0' ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 paramod(
% 0.44/1.07 clause( 249, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_a' ),
% 0.44/1.07 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' )
% 0.44/1.07 ) ] )
% 0.44/1.07 , clause( 2, [ =( 'v_x', 'c_0' ) ] )
% 0.44/1.07 , 0, clause( 223, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_a'
% 0.44/1.07 ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( 'v_x' ), 't_a' ), 't_a' ),
% 0.44/1.07 't_a' ) ) ] )
% 0.44/1.07 , 0, 10, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 paramod(
% 0.44/1.07 clause( 250, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'c_0' ), 't_a' ),
% 0.44/1.07 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' )
% 0.44/1.07 ) ] )
% 0.44/1.07 , clause( 2, [ =( 'v_x', 'c_0' ) ] )
% 0.44/1.07 , 0, clause( 249, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_a'
% 0.44/1.07 ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ),
% 0.44/1.07 't_a' ) ) ] )
% 0.44/1.07 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 paramod(
% 0.44/1.07 clause( 251, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', 't_a' ), 'c_times'(
% 0.44/1.07 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , clause( 0, [ =( 'v_f'( 'c_0' ), 'c_0' ) ] )
% 0.44/1.07 , 0, clause( 250, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'c_0' ), 't_a'
% 0.44/1.07 ), 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ),
% 0.44/1.07 't_a' ) ) ] )
% 0.44/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 3, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', 't_a' ), 'c_times'(
% 0.44/1.07 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , clause( 251, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', 't_a' ), 'c_times'(
% 0.44/1.07 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.44/1.07 , clause( 224, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 5, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 0.44/1.07 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 0.44/1.07 , clause( 225, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 =( 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.44/1.07 1 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.44/1.07 , clause( 226, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 ), ==>( 1, 1 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ),
% 0.44/1.07 'c_lessequals'( Y, Z, X ) ] )
% 0.44/1.07 , clause( 227, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X )
% 0.44/1.07 ), 'c_lessequals'( Y, Z, X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 8, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) )
% 0.44/1.07 , ~( 'c_lessequals'( 'c_0', Y, X ) ), ~( 'c_lessequals'( 'c_0', Z, X ) )
% 0.44/1.07 , 'c_lessequals'( 'c_0', 'c_times'( Z, Y, X ), X ) ] )
% 0.44/1.07 , clause( 228, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X
% 0.44/1.07 ) ), ~( 'c_lessequals'( 'c_0', Y, X ) ), ~( 'c_lessequals'( 'c_0', Z, X
% 0.44/1.07 ) ), 'c_lessequals'( 'c_0', 'c_times'( Z, Y, X ), X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.44/1.07 ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.44/1.07 , clause( 229, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.44/1.07 1 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Orderings_Oorder'( X ) ] )
% 0.44/1.07 , clause( 230, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Orderings_Oorder'( X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.44/1.07 1 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.44/1.07 , clause( 231, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.44/1.07 1 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 279, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.44/1.07 , clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.44/1.07 , 0, clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.44/1.07 , clause( 279, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ]
% 0.44/1.07 )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 280, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.44/1.07 , clause( 10, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Orderings_Oorder'( X ) ] )
% 0.44/1.07 , 0, clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 14, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.44/1.07 , clause( 280, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 281, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 't_a'
% 0.44/1.07 ) ] )
% 0.44/1.07 , clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.07 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.44/1.07 , 0, clause( 4, [ 'class_Ring__and__Field_Oordered__idom'( 't_a' ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 15, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 't_a' )
% 0.44/1.07 ] )
% 0.44/1.07 , clause( 281, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.44/1.07 't_a' ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 paramod(
% 0.44/1.07 clause( 283, [ ~( 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.44/1.07 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ), ~(
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ) ] )
% 0.44/1.07 , clause( 5, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 =( 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 0.44/1.07 , 1, clause( 3, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', 't_a' ),
% 0.44/1.07 'c_times'( 'v_c', 'c_HOL_Oabs'( 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' )
% 0.44/1.07 ) ] )
% 0.44/1.07 , 0, 2, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 284, [ ~( 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.44/1.07 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , clause( 283, [ ~( 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.44/1.07 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ), ~(
% 0.44/1.07 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ) ] )
% 0.44/1.07 , 1, clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' )
% 0.44/1.07 ] )
% 0.44/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 18, [ ~( 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.44/1.07 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , clause( 284, [ ~( 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.44/1.07 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 285, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ]
% 0.44/1.07 )
% 0.44/1.07 , clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.44/1.07 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.44/1.07 , 0, clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' )
% 0.44/1.07 ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, X )] ), substitution( 1, [] )
% 0.44/1.07 ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 19, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 , clause( 285, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' ) ]
% 0.44/1.07 )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 286, [ ~( 'class_Orderings_Oorder'( 't_a' ) ), 'c_lessequals'(
% 0.44/1.07 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 0.44/1.07 , 'c_lessequals'( Y, Z, X ) ] )
% 0.44/1.07 , 1, clause( 1, [ 'c_less'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, 'c_0' ), :=( Z, 'v_c' )] ),
% 0.44/1.07 substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 287, [ 'c_lessequals'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , clause( 286, [ ~( 'class_Orderings_Oorder'( 't_a' ) ), 'c_lessequals'(
% 0.44/1.07 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , 0, clause( 14, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.44/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 27, [ 'c_lessequals'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , clause( 287, [ 'c_lessequals'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 289, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.44/1.07 't_a' ) ), ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'( 'c_0'
% 0.44/1.07 , 'c_times'( 'v_c', X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 , clause( 8, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X )
% 0.44/1.07 ), ~( 'c_lessequals'( 'c_0', Y, X ) ), ~( 'c_lessequals'( 'c_0', Z, X )
% 0.44/1.07 ), 'c_lessequals'( 'c_0', 'c_times'( Z, Y, X ), X ) ] )
% 0.44/1.07 , 2, clause( 27, [ 'c_lessequals'( 'c_0', 'v_c', 't_a' ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, 't_a' ), :=( Y, X ), :=( Z, 'v_c' )] ),
% 0.44/1.07 substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 291, [ ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'(
% 0.44/1.07 'c_0', 'c_times'( 'v_c', X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 , clause( 289, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.44/1.07 't_a' ) ), ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'( 'c_0'
% 0.44/1.07 , 'c_times'( 'v_c', X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 , 0, clause( 15, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.44/1.07 't_a' ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 37, [ ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'( 'c_0'
% 0.44/1.07 , 'c_times'( 'v_c', X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 , clause( 291, [ ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'(
% 0.44/1.07 'c_0', 'c_times'( 'v_c', X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.44/1.07 1 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 292, [ ~( 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( 'v_h'( 'c_0' ),
% 0.44/1.07 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , clause( 18, [ ~( 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'c_HOL_Oabs'(
% 0.44/1.07 'v_h'( 'c_0' ), 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , 0, clause( 37, [ ~( 'c_lessequals'( 'c_0', X, 't_a' ) ), 'c_lessequals'(
% 0.44/1.07 'c_0', 'c_times'( 'v_c', X, 't_a' ), 't_a' ) ] )
% 0.44/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_HOL_Oabs'( 'v_h'(
% 0.44/1.07 'c_0' ), 't_a' ) )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 293, [] )
% 0.44/1.07 , clause( 292, [ ~( 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( 'v_h'( 'c_0' ),
% 0.44/1.07 't_a' ), 't_a' ) ) ] )
% 0.44/1.07 , 0, clause( 19, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_a' ), 't_a' )
% 0.44/1.07 ] )
% 0.44/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_h'( 'c_0' ) )] )
% 0.44/1.07 ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 218, [] )
% 0.44/1.07 , clause( 293, [] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 end.
% 0.44/1.07
% 0.44/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07
% 0.44/1.07 Memory use:
% 0.44/1.07
% 0.44/1.07 space for terms: 3094
% 0.44/1.07 space for clauses: 14036
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 clauses generated: 888
% 0.44/1.07 clauses kept: 219
% 0.44/1.07 clauses selected: 62
% 0.44/1.07 clauses deleted: 0
% 0.44/1.07 clauses inuse deleted: 0
% 0.44/1.07
% 0.44/1.07 subsentry: 623
% 0.44/1.07 literals s-matched: 391
% 0.44/1.07 literals matched: 391
% 0.44/1.07 full subsumption: 8
% 0.44/1.07
% 0.44/1.07 checksum: -1166136725
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Bliksem ended
%------------------------------------------------------------------------------