%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA045-2 : 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 18:38:48 EDT 2022
% Result : Unsatisfiable 0.64s 1.05s
% Output : Refutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ANA045-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Fri Jul 8 05:34:26 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.64/1.05 *** allocated 10000 integers for termspace/termends
% 0.64/1.05 *** allocated 10000 integers for clauses
% 0.64/1.05 *** allocated 10000 integers for justifications
% 0.64/1.05 Bliksem 1.12
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 Automatic Strategy Selection
% 0.64/1.05
% 0.64/1.05 Clauses:
% 0.64/1.05 [
% 0.64/1.05 [ ~( 'c_lessequals'( 'c_0', 'c_times'( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( X
% 0.64/1.05 ) ), 't_b' ), 't_b' ), 't_b' ) ) ],
% 0.64/1.05 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.64/1.05 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.64/1.05 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 0.64/1.05 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'(
% 0.64/1.05 'c_1', Y, X ) ) ],
% 0.64/1.05 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.64/1.05 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ]
% 0.64/1.05 ] .
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 percentage equality = 0.125000, percentage horn = 1.000000
% 0.64/1.05 This is a problem with some equality
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 Options Used:
% 0.64/1.05
% 0.64/1.05 useres = 1
% 0.64/1.05 useparamod = 1
% 0.64/1.05 useeqrefl = 1
% 0.64/1.05 useeqfact = 1
% 0.64/1.05 usefactor = 1
% 0.64/1.05 usesimpsplitting = 0
% 0.64/1.05 usesimpdemod = 5
% 0.64/1.05 usesimpres = 3
% 0.64/1.05
% 0.64/1.05 resimpinuse = 1000
% 0.64/1.05 resimpclauses = 20000
% 0.64/1.05 substype = eqrewr
% 0.64/1.05 backwardsubs = 1
% 0.64/1.05 selectoldest = 5
% 0.64/1.05
% 0.64/1.05 litorderings [0] = split
% 0.64/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.64/1.05
% 0.64/1.05 termordering = kbo
% 0.64/1.05
% 0.64/1.05 litapriori = 0
% 0.64/1.05 termapriori = 1
% 0.64/1.05 litaposteriori = 0
% 0.64/1.05 termaposteriori = 0
% 0.64/1.05 demodaposteriori = 0
% 0.64/1.05 ordereqreflfact = 0
% 0.64/1.05
% 0.64/1.05 litselect = negord
% 0.64/1.05
% 0.64/1.05 maxweight = 15
% 0.64/1.05 maxdepth = 30000
% 0.64/1.05 maxlength = 115
% 0.64/1.05 maxnrvars = 195
% 0.64/1.05 excuselevel = 1
% 0.64/1.05 increasemaxweight = 1
% 0.64/1.05
% 0.64/1.05 maxselected = 10000000
% 0.64/1.05 maxnrclauses = 10000000
% 0.64/1.05
% 0.64/1.05 showgenerated = 0
% 0.64/1.05 showkept = 0
% 0.64/1.05 showselected = 0
% 0.64/1.05 showdeleted = 0
% 0.64/1.05 showresimp = 1
% 0.64/1.05 showstatus = 2000
% 0.64/1.05
% 0.64/1.05 prologoutput = 1
% 0.64/1.05 nrgoals = 5000000
% 0.64/1.05 totalproof = 1
% 0.64/1.05
% 0.64/1.05 Symbols occurring in the translation:
% 0.64/1.05
% 0.64/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.64/1.05 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.64/1.05 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.64/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.64/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.64/1.05 'c_0' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.64/1.05 'v_x' [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.64/1.05 'v_g' [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.64/1.05 't_b' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.64/1.05 'c_HOL_Oabs' [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.64/1.05 'c_times' [45, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.64/1.05 'c_lessequals' [46, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.64/1.05 'class_Ring__and__Field_Oordered__idom' [47, 1] (w:1, o:24, a:1, s:1
% 0.64/1.05 , b:0),
% 0.64/1.05 'class_OrderedGroup_Olordered__ab__group__abs' [49, 1] (w:1, o:25, a:
% 0.64/1.05 1, s:1, b:0),
% 0.64/1.05 'c_1' [52, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 Starting Search:
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 Bliksems!, er is een bewijs:
% 0.64/1.05 % SZS status Unsatisfiable
% 0.64/1.05 % SZS output start Refutation
% 0.64/1.05
% 0.64/1.05 clause( 0, [ ~( 'c_lessequals'( 'c_0', 'c_times'( X, 'c_HOL_Oabs'( 'v_g'(
% 0.64/1.05 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 2, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.64/1.05 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 3, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.64/1.05 'c_times'( 'c_1', Y, X ), Y ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.64/1.05 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 5, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 6, [ =( 'c_times'( 'c_1', X, 't_b' ), X ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 7, [ ~( 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( 'v_g'( 'v_x'( 'c_1' )
% 0.64/1.05 ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 8, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.64/1.05 .
% 0.64/1.05 clause( 10, [] )
% 0.64/1.05 .
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 % SZS output end Refutation
% 0.64/1.05 found a proof!
% 0.64/1.05
% 0.64/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.64/1.05
% 0.64/1.05 initialclauses(
% 0.64/1.05 [ clause( 12, [ ~( 'c_lessequals'( 'c_0', 'c_times'( X, 'c_HOL_Oabs'( 'v_g'(
% 0.64/1.05 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 , clause( 13, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.64/1.05 , clause( 14, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.64/1.05 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.64/1.05 , clause( 15, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.64/1.05 'c_times'( 'c_1', Y, X ) ) ] )
% 0.64/1.05 , clause( 16, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.64/1.05 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.64/1.05 ] ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 0, [ ~( 'c_lessequals'( 'c_0', 'c_times'( X, 'c_HOL_Oabs'( 'v_g'(
% 0.64/1.05 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 , clause( 12, [ ~( 'c_lessequals'( 'c_0', 'c_times'( X, 'c_HOL_Oabs'( 'v_g'(
% 0.64/1.05 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.64/1.05 , clause( 13, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.64/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 2, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.64/1.05 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.64/1.05 , clause( 14, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.64/1.05 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.64/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.64/1.05 ), ==>( 1, 1 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 eqswap(
% 0.64/1.05 clause( 17, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 0.64/1.05 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.64/1.05 , clause( 15, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.64/1.05 'c_times'( 'c_1', Y, X ) ) ] )
% 0.64/1.05 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 3, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.64/1.05 'c_times'( 'c_1', Y, X ), Y ) ] )
% 0.64/1.05 , clause( 17, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 0.64/1.05 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.64/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.64/1.05 ), ==>( 1, 0 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.64/1.05 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.64/1.05 , clause( 16, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.64/1.05 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.64/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.64/1.05 1 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 resolution(
% 0.64/1.05 clause( 19, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.64/1.05 , clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.64/1.05 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.64/1.05 , 0, clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.64/1.05 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 5, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.64/1.05 , clause( 19, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.64/1.05 )
% 0.64/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 eqswap(
% 0.64/1.05 clause( 20, [ =( X, 'c_times'( 'c_1', X, Y ) ), ~(
% 0.64/1.05 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.64/1.05 , clause( 3, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.64/1.05 'c_times'( 'c_1', Y, X ), Y ) ] )
% 0.64/1.05 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 resolution(
% 0.64/1.05 clause( 21, [ =( X, 'c_times'( 'c_1', X, 't_b' ) ) ] )
% 0.64/1.05 , clause( 20, [ =( X, 'c_times'( 'c_1', X, Y ) ), ~(
% 0.64/1.05 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.64/1.05 , 1, clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.64/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' )] ), substitution( 1, [] )
% 0.64/1.05 ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 eqswap(
% 0.64/1.05 clause( 22, [ =( 'c_times'( 'c_1', X, 't_b' ), X ) ] )
% 0.64/1.05 , clause( 21, [ =( X, 'c_times'( 'c_1', X, 't_b' ) ) ] )
% 0.64/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 6, [ =( 'c_times'( 'c_1', X, 't_b' ), X ) ] )
% 0.64/1.05 , clause( 22, [ =( 'c_times'( 'c_1', X, 't_b' ), X ) ] )
% 0.64/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 paramod(
% 0.64/1.05 clause( 24, [ ~( 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( 'v_g'( 'v_x'( 'c_1' )
% 0.64/1.05 ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 , clause( 6, [ =( 'c_times'( 'c_1', X, 't_b' ), X ) ] )
% 0.64/1.05 , 0, clause( 0, [ ~( 'c_lessequals'( 'c_0', 'c_times'( X, 'c_HOL_Oabs'(
% 0.64/1.05 'v_g'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 , 0, 3, substitution( 0, [ :=( X, 'c_HOL_Oabs'( 'v_g'( 'v_x'( 'c_1' ) ),
% 0.64/1.05 't_b' ) )] ), substitution( 1, [ :=( X, 'c_1' )] )).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 7, [ ~( 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( 'v_g'( 'v_x'( 'c_1' )
% 0.64/1.05 ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 , clause( 24, [ ~( 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( 'v_g'( 'v_x'( 'c_1'
% 0.64/1.05 ) ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 resolution(
% 0.64/1.05 clause( 25, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.64/1.05 , clause( 2, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.64/1.05 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 0.64/1.05 , 0, clause( 5, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.64/1.05 )
% 0.64/1.05 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X )] ), substitution( 1, [] )
% 0.64/1.05 ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 8, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ] )
% 0.64/1.05 , clause( 25, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' ) ]
% 0.64/1.05 )
% 0.64/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 resolution(
% 0.64/1.05 clause( 26, [] )
% 0.64/1.05 , clause( 7, [ ~( 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( 'v_g'( 'v_x'( 'c_1'
% 0.64/1.05 ) ), 't_b' ), 't_b' ) ) ] )
% 0.64/1.05 , 0, clause( 8, [ 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( X, 't_b' ), 't_b' )
% 0.64/1.05 ] )
% 0.64/1.05 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_g'( 'v_x'( 'c_1' )
% 0.64/1.05 ) )] )).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 subsumption(
% 0.64/1.05 clause( 10, [] )
% 0.64/1.05 , clause( 26, [] )
% 0.64/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 end.
% 0.64/1.05
% 0.64/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.64/1.05
% 0.64/1.05 Memory use:
% 0.64/1.05
% 0.64/1.05 space for terms: 176
% 0.64/1.05 space for clauses: 726
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 clauses generated: 19
% 0.64/1.05 clauses kept: 11
% 0.64/1.05 clauses selected: 9
% 0.64/1.05 clauses deleted: 1
% 0.64/1.05 clauses inuse deleted: 0
% 0.64/1.05
% 0.64/1.05 subsentry: 23
% 0.64/1.05 literals s-matched: 11
% 0.64/1.05 literals matched: 11
% 0.64/1.05 full subsumption: 0
% 0.64/1.05
% 0.64/1.05 checksum: -271098821
% 0.64/1.05
% 0.64/1.05
% 0.64/1.05 Bliksem ended
%------------------------------------------------------------------------------