TSTP Solution File: ANA010-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 18:38:08 EDT 2022
% Result : Unsatisfiable 0.71s 1.12s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jul 8 03:46:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12 [
% 0.71/1.12 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.71/1.12 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 0.71/1.12 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.71/1.12 ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ],
% 0.71/1.12 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 0.71/1.12 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'(
% 0.71/1.12 Z, X ), X ) ) ],
% 0.71/1.12 [ 'c_lessequals'( 'c_0', 'v_f'( X ), 't_b' ) ],
% 0.71/1.12 [ 'c_lessequals'( 'v_f'( X ), 'c_times'( 'v_c', 'v_g'( X ), 't_b' ),
% 0.71/1.12 't_b' ) ],
% 0.71/1.12 [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_times'( X, 'c_HOL_Oabs'(
% 0.71/1.12 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ],
% 0.71/1.12 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 'class_Orderings_Oorder'( X ) ],
% 0.71/1.12 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.71/1.12 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ]
% 0.71/1.12 ] .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 percentage equality = 0.117647, percentage horn = 1.000000
% 0.71/1.12 This is a problem with some equality
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 1
% 0.71/1.12 useeqrefl = 1
% 0.71/1.12 useeqfact = 1
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 5
% 0.71/1.12 usesimpres = 3
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = eqrewr
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.12
% 0.71/1.12 termordering = kbo
% 0.71/1.12
% 0.71/1.12 litapriori = 0
% 0.71/1.12 termapriori = 1
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = negord
% 0.71/1.12
% 0.71/1.12 maxweight = 15
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 1
% 0.71/1.12 increasemaxweight = 1
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.12
% 0.71/1.12 showgenerated = 0
% 0.71/1.12 showkept = 0
% 0.71/1.12 showselected = 0
% 0.71/1.12 showdeleted = 0
% 0.71/1.12 showresimp = 1
% 0.71/1.12 showstatus = 2000
% 0.71/1.12
% 0.71/1.12 prologoutput = 1
% 0.71/1.12 nrgoals = 5000000
% 0.71/1.12 totalproof = 1
% 0.71/1.12
% 0.71/1.12 Symbols occurring in the translation:
% 0.71/1.12
% 0.71/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.12 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs' [40, 1] (w:1, o:25, a:
% 0.71/1.12 1, s:1, b:0),
% 0.71/1.12 'c_0' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.12 'c_lessequals' [43, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.71/1.12 'c_HOL_Oabs' [44, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.71/1.12 'class_Orderings_Oorder' [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.12 'class_Ring__and__Field_Oordered__idom' [48, 1] (w:1, o:27, a:1, s:1
% 0.71/1.12 , b:0),
% 0.71/1.12 'c_times' [51, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.12 'v_f' [53, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.71/1.12 't_b' [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.71/1.12 'v_c' [55, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.12 'v_g' [56, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.71/1.12 'v_x' [57, 1] (w:1, o:30, a:1, s:1, b:0).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Starting Search:
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksems!, er is een bewijs:
% 0.71/1.12 % SZS status Unsatisfiable
% 0.71/1.12 % SZS output start Refutation
% 0.71/1.12
% 0.71/1.12 clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.71/1.12 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 1, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.71/1.12 ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 2, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.12 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.71/1.12 'c_times'( Y, Z, X ), X ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 3, [ 'c_lessequals'( 'c_0', 'v_f'( X ), 't_b' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 4, [ 'c_lessequals'( 'v_f'( X ), 'c_times'( 'v_c', 'v_g'( X ),
% 0.71/1.12 't_b' ), 't_b' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 5, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_times'( X,
% 0.71/1.12 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 8, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 9, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 10, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 12, [ ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), =( 'c_HOL_Oabs'( X,
% 0.71/1.12 't_b' ), X ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 18, [ ~( 'c_lessequals'( 'v_f'( X ), Y, 't_b' ) ), 'c_lessequals'(
% 0.71/1.12 'c_0', Y, 't_b' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 27, [ 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'v_g'( X ), 't_b' )
% 0.71/1.12 , 't_b' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 32, [ =( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_g'( X ), 't_b' ), 't_b'
% 0.71/1.12 ), 'c_times'( 'v_c', 'v_g'( X ), 't_b' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 40, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) ) )
% 0.71/1.12 , 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) ) )
% 0.71/1.12 , 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 44, [] )
% 0.71/1.12 .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 % SZS output end Refutation
% 0.71/1.12 found a proof!
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 initialclauses(
% 0.71/1.12 [ clause( 46, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.71/1.12 , clause( 47, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.71/1.12 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.71/1.12 , clause( 48, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.12 'c_HOL_Oabs'( 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X )
% 0.71/1.12 , 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 0.71/1.12 , clause( 49, [ 'c_lessequals'( 'c_0', 'v_f'( X ), 't_b' ) ] )
% 0.71/1.12 , clause( 50, [ 'c_lessequals'( 'v_f'( X ), 'c_times'( 'v_c', 'v_g'( X ),
% 0.71/1.12 't_b' ), 't_b' ) ] )
% 0.71/1.12 , clause( 51, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_times'( X,
% 0.71/1.12 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , clause( 52, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.71/1.12 , clause( 53, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.12 , clause( 54, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.71/1.12 ] ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.71/1.12 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.71/1.12 , clause( 46, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.71/1.12 ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.71/1.12 , clause( 47, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.71/1.12 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 60, [ =( 'c_times'( 'c_HOL_Oabs'( X, Z ), 'c_HOL_Oabs'( Y, Z ), Z )
% 0.71/1.12 , 'c_HOL_Oabs'( 'c_times'( X, Y, Z ), Z ) ), ~(
% 0.71/1.12 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.71/1.12 , clause( 48, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.12 'c_HOL_Oabs'( 'c_times'( Y, Z, X ), X ), 'c_times'( 'c_HOL_Oabs'( Y, X )
% 0.71/1.12 , 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 0.71/1.12 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 2, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.12 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.71/1.12 'c_times'( Y, Z, X ), X ) ) ] )
% 0.71/1.12 , clause( 60, [ =( 'c_times'( 'c_HOL_Oabs'( X, Z ), 'c_HOL_Oabs'( Y, Z ), Z
% 0.71/1.12 ), 'c_HOL_Oabs'( 'c_times'( X, Y, Z ), Z ) ), ~(
% 0.71/1.12 'class_Ring__and__Field_Oordered__idom'( Z ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 3, [ 'c_lessequals'( 'c_0', 'v_f'( X ), 't_b' ) ] )
% 0.71/1.12 , clause( 49, [ 'c_lessequals'( 'c_0', 'v_f'( X ), 't_b' ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 4, [ 'c_lessequals'( 'v_f'( X ), 'c_times'( 'v_c', 'v_g'( X ),
% 0.71/1.12 't_b' ), 't_b' ) ] )
% 0.71/1.12 , clause( 50, [ 'c_lessequals'( 'v_f'( X ), 'c_times'( 'v_c', 'v_g'( X ),
% 0.71/1.12 't_b' ), 't_b' ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 5, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_times'( X,
% 0.71/1.12 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , clause( 51, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_times'( X,
% 0.71/1.12 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.71/1.12 , clause( 52, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.12 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.12 , clause( 53, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.12 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 8, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.71/1.12 , clause( 54, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 79, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.71/1.12 , clause( 7, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.71/1.12 , 0, clause( 8, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 9, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.71/1.12 , clause( 79, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.71/1.12 )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 80, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.71/1.12 , clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.71/1.12 , 0, clause( 9, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.71/1.12 )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 10, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.71/1.12 , clause( 80, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 81, [ =( X, 'c_HOL_Oabs'( X, Y ) ), ~(
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs'( Y ) ), ~( 'c_lessequals'(
% 0.71/1.12 'c_0', X, Y ) ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.71/1.12 ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 0.71/1.12 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 82, [ =( X, 'c_HOL_Oabs'( X, 't_b' ) ), ~( 'c_lessequals'( 'c_0', X
% 0.71/1.12 , 't_b' ) ) ] )
% 0.71/1.12 , clause( 81, [ =( X, 'c_HOL_Oabs'( X, Y ) ), ~(
% 0.71/1.12 'class_OrderedGroup_Olordered__ab__group__abs'( Y ) ), ~( 'c_lessequals'(
% 0.71/1.12 'c_0', X, Y ) ) ] )
% 0.71/1.12 , 1, clause( 9, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.71/1.12 )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' )] ), substitution( 1, [] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 83, [ =( 'c_HOL_Oabs'( X, 't_b' ), X ), ~( 'c_lessequals'( 'c_0', X
% 0.71/1.12 , 't_b' ) ) ] )
% 0.71/1.12 , clause( 82, [ =( X, 'c_HOL_Oabs'( X, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 0.71/1.12 , X, 't_b' ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 12, [ ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), =( 'c_HOL_Oabs'( X,
% 0.71/1.12 't_b' ), X ) ] )
% 0.71/1.12 , clause( 83, [ =( 'c_HOL_Oabs'( X, 't_b' ), X ), ~( 'c_lessequals'( 'c_0'
% 0.71/1.12 , X, 't_b' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.12 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 85, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.71/1.12 'v_f'( X ), Y, 't_b' ) ), 'c_lessequals'( 'c_0', Y, 't_b' ) ] )
% 0.71/1.12 , clause( 1, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.71/1.12 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.71/1.12 , 2, clause( 3, [ 'c_lessequals'( 'c_0', 'v_f'( X ), 't_b' ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'v_f'( X ) ), :=( Z, Y ),
% 0.71/1.12 :=( T, 'c_0' )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 87, [ ~( 'c_lessequals'( 'v_f'( X ), Y, 't_b' ) ), 'c_lessequals'(
% 0.71/1.12 'c_0', Y, 't_b' ) ] )
% 0.71/1.12 , clause( 85, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.71/1.12 'v_f'( X ), Y, 't_b' ) ), 'c_lessequals'( 'c_0', Y, 't_b' ) ] )
% 0.71/1.12 , 0, clause( 10, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 18, [ ~( 'c_lessequals'( 'v_f'( X ), Y, 't_b' ) ), 'c_lessequals'(
% 0.71/1.12 'c_0', Y, 't_b' ) ] )
% 0.71/1.12 , clause( 87, [ ~( 'c_lessequals'( 'v_f'( X ), Y, 't_b' ) ), 'c_lessequals'(
% 0.71/1.12 'c_0', Y, 't_b' ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 ), ==>( 1, 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 88, [ 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'v_g'( X ), 't_b' )
% 0.71/1.12 , 't_b' ) ] )
% 0.71/1.12 , clause( 18, [ ~( 'c_lessequals'( 'v_f'( X ), Y, 't_b' ) ), 'c_lessequals'(
% 0.71/1.12 'c_0', Y, 't_b' ) ] )
% 0.71/1.12 , 0, clause( 4, [ 'c_lessequals'( 'v_f'( X ), 'c_times'( 'v_c', 'v_g'( X )
% 0.71/1.12 , 't_b' ), 't_b' ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_times'( 'v_c', 'v_g'( X ),
% 0.71/1.12 't_b' ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 27, [ 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'v_g'( X ), 't_b' )
% 0.71/1.12 , 't_b' ) ] )
% 0.71/1.12 , clause( 88, [ 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'v_g'( X ), 't_b'
% 0.71/1.12 ), 't_b' ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 89, [ =( X, 'c_HOL_Oabs'( X, 't_b' ) ), ~( 'c_lessequals'( 'c_0', X
% 0.71/1.12 , 't_b' ) ) ] )
% 0.71/1.12 , clause( 12, [ ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), =( 'c_HOL_Oabs'( X
% 0.71/1.12 , 't_b' ), X ) ] )
% 0.71/1.12 , 1, substitution( 0, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 90, [ =( 'c_times'( 'v_c', 'v_g'( X ), 't_b' ), 'c_HOL_Oabs'(
% 0.71/1.12 'c_times'( 'v_c', 'v_g'( X ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , clause( 89, [ =( X, 'c_HOL_Oabs'( X, 't_b' ) ), ~( 'c_lessequals'( 'c_0'
% 0.71/1.12 , X, 't_b' ) ) ] )
% 0.71/1.12 , 1, clause( 27, [ 'c_lessequals'( 'c_0', 'c_times'( 'v_c', 'v_g'( X ),
% 0.71/1.12 't_b' ), 't_b' ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, 'c_times'( 'v_c', 'v_g'( X ), 't_b' ) )] ),
% 0.71/1.12 substitution( 1, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 91, [ =( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_g'( X ), 't_b' ), 't_b'
% 0.71/1.12 ), 'c_times'( 'v_c', 'v_g'( X ), 't_b' ) ) ] )
% 0.71/1.12 , clause( 90, [ =( 'c_times'( 'v_c', 'v_g'( X ), 't_b' ), 'c_HOL_Oabs'(
% 0.71/1.12 'c_times'( 'v_c', 'v_g'( X ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 32, [ =( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_g'( X ), 't_b' ), 't_b'
% 0.71/1.12 ), 'c_times'( 'v_c', 'v_g'( X ), 't_b' ) ) ] )
% 0.71/1.12 , clause( 91, [ =( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_g'( X ), 't_b' ),
% 0.71/1.12 't_b' ), 'c_times'( 'v_c', 'v_g'( X ), 't_b' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 93, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) ) )
% 0.71/1.12 , 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) ) )
% 0.71/1.12 , 't_b' ), 't_b' ), 't_b' ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.71/1.12 't_b' ) ) ] )
% 0.71/1.12 , clause( 2, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.71/1.12 'c_times'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 'c_HOL_Oabs'(
% 0.71/1.12 'c_times'( Y, Z, X ), X ) ) ] )
% 0.71/1.12 , 1, clause( 5, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( X ) ), 'c_times'( X,
% 0.71/1.12 'c_HOL_Oabs'( 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , 0, 7, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, 'v_g'( 'v_x'(
% 0.71/1.12 'c_HOL_Oabs'( X, 't_b' ) ) ) )] ), substitution( 1, [ :=( X, 'c_HOL_Oabs'(
% 0.71/1.12 X, 't_b' ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 94, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) ) )
% 0.71/1.12 , 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) ) )
% 0.71/1.12 , 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , clause( 93, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) )
% 0.71/1.12 ), 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) )
% 0.71/1.12 ), 't_b' ), 't_b' ), 't_b' ) ), ~(
% 0.71/1.12 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.71/1.12 , 1, clause( 8, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 40, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) ) )
% 0.71/1.12 , 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) ) )
% 0.71/1.12 , 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , clause( 94, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) )
% 0.71/1.12 ), 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( 'v_x'( 'c_HOL_Oabs'( X, 't_b' ) )
% 0.71/1.12 ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 98, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( 'v_c', 't_b' )
% 0.71/1.12 ) ), 'c_times'( 'v_c', 'v_g'( 'v_x'( 'c_HOL_Oabs'( 'v_c', 't_b' ) ) ),
% 0.71/1.12 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , clause( 32, [ =( 'c_HOL_Oabs'( 'c_times'( 'v_c', 'v_g'( X ), 't_b' ),
% 0.71/1.12 't_b' ), 'c_times'( 'v_c', 'v_g'( X ), 't_b' ) ) ] )
% 0.71/1.12 , 0, clause( 40, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( X, 't_b'
% 0.71/1.12 ) ) ), 'c_HOL_Oabs'( 'c_times'( X, 'v_g'( 'v_x'( 'c_HOL_Oabs'( X, 't_b'
% 0.71/1.12 ) ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , 0, 7, substitution( 0, [ :=( X, 'v_x'( 'c_HOL_Oabs'( 'v_c', 't_b' ) ) )] )
% 0.71/1.12 , substitution( 1, [ :=( X, 'v_c' )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 100, [] )
% 0.71/1.12 , clause( 98, [ ~( 'c_lessequals'( 'v_f'( 'v_x'( 'c_HOL_Oabs'( 'v_c', 't_b'
% 0.71/1.12 ) ) ), 'c_times'( 'v_c', 'v_g'( 'v_x'( 'c_HOL_Oabs'( 'v_c', 't_b' ) ) )
% 0.71/1.12 , 't_b' ), 't_b' ) ) ] )
% 0.71/1.12 , 0, clause( 4, [ 'c_lessequals'( 'v_f'( X ), 'c_times'( 'v_c', 'v_g'( X )
% 0.71/1.12 , 't_b' ), 't_b' ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x'( 'c_HOL_Oabs'(
% 0.71/1.12 'v_c', 't_b' ) ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 44, [] )
% 0.71/1.12 , clause( 100, [] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 end.
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 Memory use:
% 0.71/1.12
% 0.71/1.12 space for terms: 799
% 0.71/1.12 space for clauses: 3475
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 clauses generated: 880
% 0.71/1.12 clauses kept: 45
% 0.71/1.12 clauses selected: 42
% 0.71/1.12 clauses deleted: 0
% 0.71/1.12 clauses inuse deleted: 0
% 0.71/1.12
% 0.71/1.12 subsentry: 476
% 0.71/1.12 literals s-matched: 350
% 0.71/1.12 literals matched: 348
% 0.71/1.12 full subsumption: 98
% 0.71/1.12
% 0.71/1.12 checksum: -1133377889
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksem ended
%------------------------------------------------------------------------------