TSTP Solution File: ANA007-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA007-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 18:38:05 EDT 2022
% Result : Unsatisfiable 0.75s 1.12s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ANA007-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Fri Jul 8 07:11:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.75/1.12 *** allocated 10000 integers for termspace/termends
% 0.75/1.12 *** allocated 10000 integers for clauses
% 0.75/1.12 *** allocated 10000 integers for justifications
% 0.75/1.12 Bliksem 1.12
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Automatic Strategy Selection
% 0.75/1.12
% 0.75/1.12 Clauses:
% 0.75/1.12 [
% 0.75/1.12 [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ),
% 0.75/1.12 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ), 't_b'
% 0.75/1.12 ) ) ],
% 0.75/1.12 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.75/1.12 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.75/1.12 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'(
% 0.75/1.12 'c_1', Y, X ) ) ],
% 0.75/1.12 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.12 'class_Orderings_Oorder'( X ) ]
% 0.75/1.12 ] .
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 percentage equality = 0.125000, percentage horn = 1.000000
% 0.75/1.12 This is a problem with some equality
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Options Used:
% 0.75/1.12
% 0.75/1.12 useres = 1
% 0.75/1.12 useparamod = 1
% 0.75/1.12 useeqrefl = 1
% 0.75/1.12 useeqfact = 1
% 0.75/1.12 usefactor = 1
% 0.75/1.12 usesimpsplitting = 0
% 0.75/1.12 usesimpdemod = 5
% 0.75/1.12 usesimpres = 3
% 0.75/1.12
% 0.75/1.12 resimpinuse = 1000
% 0.75/1.12 resimpclauses = 20000
% 0.75/1.12 substype = eqrewr
% 0.75/1.12 backwardsubs = 1
% 0.75/1.12 selectoldest = 5
% 0.75/1.12
% 0.75/1.12 litorderings [0] = split
% 0.75/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.12
% 0.75/1.12 termordering = kbo
% 0.75/1.12
% 0.75/1.12 litapriori = 0
% 0.75/1.12 termapriori = 1
% 0.75/1.12 litaposteriori = 0
% 0.75/1.12 termaposteriori = 0
% 0.75/1.12 demodaposteriori = 0
% 0.75/1.12 ordereqreflfact = 0
% 0.75/1.12
% 0.75/1.12 litselect = negord
% 0.75/1.12
% 0.75/1.12 maxweight = 15
% 0.75/1.12 maxdepth = 30000
% 0.75/1.12 maxlength = 115
% 0.75/1.12 maxnrvars = 195
% 0.75/1.12 excuselevel = 1
% 0.75/1.12 increasemaxweight = 1
% 0.75/1.12
% 0.75/1.12 maxselected = 10000000
% 0.75/1.12 maxnrclauses = 10000000
% 0.75/1.12
% 0.75/1.12 showgenerated = 0
% 0.75/1.12 showkept = 0
% 0.75/1.12 showselected = 0
% 0.75/1.12 showdeleted = 0
% 0.75/1.12 showresimp = 1
% 0.75/1.12 showstatus = 2000
% 0.75/1.12
% 0.75/1.12 prologoutput = 1
% 0.75/1.12 nrgoals = 5000000
% 0.75/1.12 totalproof = 1
% 0.75/1.12
% 0.75/1.12 Symbols occurring in the translation:
% 0.75/1.12
% 0.75/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.12 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.75/1.12 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.75/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.12 'v_x' [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.12 'v_f' [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.12 't_b' [42, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.75/1.12 'c_HOL_Oabs' [43, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.12 'c_times' [44, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.75/1.12 'c_lessequals' [45, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom' [46, 1] (w:1, o:23, a:1, s:1
% 0.75/1.12 , b:0),
% 0.75/1.12 'class_Orderings_Oorder' [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.75/1.12 'c_1' [51, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Starting Search:
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Bliksems!, er is een bewijs:
% 0.75/1.12 % SZS status Unsatisfiable
% 0.75/1.12 % SZS output start Refutation
% 0.75/1.12
% 0.75/1.12 clause( 0, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' )
% 0.75/1.12 , 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 0.75/1.12 't_b' ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 2, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X )
% 0.75/1.12 ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 3, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.75/1.12 'c_times'( 'c_1', Y, X ), Y ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 7, [ 'c_lessequals'( X, X, Y ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 10, [] )
% 0.75/1.12 .
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 % SZS output end Refutation
% 0.75/1.12 found a proof!
% 0.75/1.12
% 0.75/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.12
% 0.75/1.12 initialclauses(
% 0.75/1.12 [ clause( 12, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b'
% 0.75/1.12 ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 0.75/1.12 't_b' ) ) ] )
% 0.75/1.12 , clause( 13, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.12 , clause( 14, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X
% 0.75/1.12 ) ] )
% 0.75/1.12 , clause( 15, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.75/1.12 'c_times'( 'c_1', Y, X ) ) ] )
% 0.75/1.12 , clause( 16, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.12 ] ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 0, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' )
% 0.75/1.12 , 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 0.75/1.12 't_b' ) ) ] )
% 0.75/1.12 , clause( 12, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b'
% 0.75/1.12 ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b' ),
% 0.75/1.12 't_b' ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.12 , clause( 13, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 2, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X )
% 0.75/1.12 ] )
% 0.75/1.12 , clause( 14, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X
% 0.75/1.12 ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.12 ), ==>( 1, 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 eqswap(
% 0.75/1.12 clause( 17, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.75/1.12 , clause( 15, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.75/1.12 'c_times'( 'c_1', Y, X ) ) ] )
% 0.75/1.12 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 3, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.75/1.12 'c_times'( 'c_1', Y, X ), Y ) ] )
% 0.75/1.12 , clause( 17, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.12 ), ==>( 1, 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.12 , clause( 16, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.12 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 19, [ 'c_lessequals'( Y, Y, X ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.75/1.12 , clause( 2, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X
% 0.75/1.12 ) ] )
% 0.75/1.12 , 0, clause( 4, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.12 'class_Orderings_Oorder'( X ) ] )
% 0.75/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.75/1.12 , X )] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 7, [ 'c_lessequals'( X, X, Y ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.75/1.12 , clause( 19, [ 'c_lessequals'( Y, Y, X ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.12 ), ==>( 1, 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 paramod(
% 0.75/1.12 clause( 21, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( 'c_1' ) ),
% 0.75/1.12 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( 'c_1' ) ), 't_b' ), 't_b' ) ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 , clause( 3, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.75/1.12 'c_times'( 'c_1', Y, X ), Y ) ] )
% 0.75/1.12 , 1, clause( 0, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ),
% 0.75/1.12 't_b' ), 'c_times'( X, 'c_HOL_Oabs'( 'v_f'( 'v_x'( X ) ), 't_b' ), 't_b'
% 0.75/1.12 ), 't_b' ) ) ] )
% 0.75/1.12 , 0, 7, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'c_HOL_Oabs'( 'v_f'(
% 0.75/1.12 'v_x'( 'c_1' ) ), 't_b' ) )] ), substitution( 1, [ :=( X, 'c_1' )] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 22, [ ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 , clause( 21, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( 'v_x'( 'c_1' ) ),
% 0.75/1.12 't_b' ), 'c_HOL_Oabs'( 'v_f'( 'v_x'( 'c_1' ) ), 't_b' ), 't_b' ) ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 , 0, clause( 7, [ 'c_lessequals'( X, X, Y ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( Y ) ) ] )
% 0.75/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_HOL_Oabs'( 'v_f'(
% 0.75/1.12 'v_x'( 'c_1' ) ), 't_b' ) ), :=( Y, 't_b' )] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 factor(
% 0.75/1.12 clause( 23, [ ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 , clause( 22, [ ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ), ~(
% 0.75/1.12 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 , 0, 1, substitution( 0, [] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 , clause( 23, [ ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 24, [] )
% 0.75/1.12 , clause( 9, [ ~( 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ) ] )
% 0.75/1.12 , 0, clause( 1, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.75/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 10, [] )
% 0.75/1.12 , clause( 24, [] )
% 0.75/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 end.
% 0.75/1.12
% 0.75/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.12
% 0.75/1.12 Memory use:
% 0.75/1.12
% 0.75/1.12 space for terms: 172
% 0.75/1.12 space for clauses: 696
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 clauses generated: 14
% 0.75/1.12 clauses kept: 11
% 0.75/1.12 clauses selected: 8
% 0.75/1.12 clauses deleted: 1
% 0.75/1.12 clauses inuse deleted: 0
% 0.75/1.12
% 0.75/1.12 subsentry: 16
% 0.75/1.12 literals s-matched: 8
% 0.75/1.12 literals matched: 8
% 0.75/1.12 full subsumption: 0
% 0.75/1.12
% 0.75/1.12 checksum: 1947357705
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Bliksem ended
%------------------------------------------------------------------------------