TSTP Solution File: SWV283-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 : Wed Jul 20 16:23:37 EDT 2022
% Result : Unsatisfiable 0.73s 1.08s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.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 : Wed Jun 15 06:24:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.73/1.08 *** allocated 10000 integers for termspace/termends
% 0.73/1.08 *** allocated 10000 integers for clauses
% 0.73/1.08 *** allocated 10000 integers for justifications
% 0.73/1.08 Bliksem 1.12
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Automatic Strategy Selection
% 0.73/1.08
% 0.73/1.08 Clauses:
% 0.73/1.08 [
% 0.73/1.08 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.73/1.08 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.73/1.08 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ],
% 0.73/1.08 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ),
% 0.73/1.08 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 0.73/1.08 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ),
% 0.73/1.08 'c_lessequals'( X, Z, 'tc_nat' ) ],
% 0.73/1.08 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_x', X, 'tc_nat' ) ) ],
% 0.73/1.08 [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ), 'c_lessequals'( Y, 'v_xd'(
% 0.73/1.08 Y ), 'tc_nat' ) ],
% 0.73/1.08 [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ), 'c_Event_Oused'(
% 0.73/1.08 'v_list' ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'(
% 0.73/1.08 X ) ), 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset',
% 0.73/1.08 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ) ]
% 0.73/1.08 ] .
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 percentage equality = 0.000000, percentage horn = 0.666667
% 0.73/1.08 This a non-horn, non-equality problem
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Options Used:
% 0.73/1.08
% 0.73/1.08 useres = 1
% 0.73/1.08 useparamod = 0
% 0.73/1.08 useeqrefl = 0
% 0.73/1.08 useeqfact = 0
% 0.73/1.08 usefactor = 1
% 0.73/1.08 usesimpsplitting = 0
% 0.73/1.08 usesimpdemod = 0
% 0.73/1.08 usesimpres = 3
% 0.73/1.08
% 0.73/1.08 resimpinuse = 1000
% 0.73/1.08 resimpclauses = 20000
% 0.73/1.08 substype = standard
% 0.73/1.08 backwardsubs = 1
% 0.73/1.08 selectoldest = 5
% 0.73/1.08
% 0.73/1.08 litorderings [0] = split
% 0.73/1.08 litorderings [1] = liftord
% 0.73/1.08
% 0.73/1.08 termordering = none
% 0.73/1.08
% 0.73/1.08 litapriori = 1
% 0.73/1.08 termapriori = 0
% 0.73/1.08 litaposteriori = 0
% 0.73/1.08 termaposteriori = 0
% 0.73/1.08 demodaposteriori = 0
% 0.73/1.08 ordereqreflfact = 0
% 0.73/1.08
% 0.73/1.08 litselect = none
% 0.73/1.08
% 0.73/1.08 maxweight = 15
% 0.73/1.08 maxdepth = 30000
% 0.73/1.08 maxlength = 115
% 0.73/1.08 maxnrvars = 195
% 0.73/1.08 excuselevel = 1
% 0.73/1.08 increasemaxweight = 1
% 0.73/1.08
% 0.73/1.08 maxselected = 10000000
% 0.73/1.08 maxnrclauses = 10000000
% 0.73/1.08
% 0.73/1.08 showgenerated = 0
% 0.73/1.08 showkept = 0
% 0.73/1.08 showselected = 0
% 0.73/1.08 showdeleted = 0
% 0.73/1.08 showresimp = 1
% 0.73/1.08 showstatus = 2000
% 0.73/1.08
% 0.73/1.08 prologoutput = 1
% 0.73/1.08 nrgoals = 5000000
% 0.73/1.08 totalproof = 1
% 0.73/1.08
% 0.73/1.08 Symbols occurring in the translation:
% 0.73/1.08
% 0.73/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.08 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.73/1.08 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.73/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.08 'c_Message_Omsg_ONonce' [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.08 'c_emptyset' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.08 'tc_Message_Omsg' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.08 'c_insert' [44, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.73/1.08 'c_Message_Oparts' [45, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.08 'c_in' [46, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.73/1.08 'v_sko__upX' [47, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.08 'tc_nat' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.08 'c_lessequals' [49, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.73/1.08 'c_plus' [52, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.08 'v_list' [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.73/1.08 'c_Event_Oused' [55, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.08 'v_x' [56, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.73/1.08 'v_xd' [58, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.08 'v_xc' [60, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Starting Search:
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Bliksems!, er is een bewijs:
% 0.73/1.08 % SZS status Unsatisfiable
% 0.73/1.08 % SZS output start Refutation
% 0.73/1.08
% 0.73/1.08 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.73/1.08 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.73/1.08 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 1, [ 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_plus'(
% 0.73/1.08 X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 2, [ 'c_lessequals'( X, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_plus'(
% 0.73/1.08 X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 0.73/1.08 'v_list' ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_x', X, 'tc_nat'
% 0.73/1.08 ) ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 4, [ 'c_lessequals'( Y, 'v_xd'( Y ), 'tc_nat' ), 'c_lessequals'( X
% 0.73/1.08 , 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 5, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 6, [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 7, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 11, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.73/1.08 'tc_nat' ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 14, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'(
% 0.73/1.08 'v_sko__upX'( X ), Y, 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( X,
% 0.73/1.08 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 23, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.73/1.08 'tc_nat' ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 27, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X,
% 0.73/1.08 'v_x', 'tc_nat' ) ) ), 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) )
% 0.73/1.08 ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 37, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X, 'v_x',
% 0.73/1.08 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset',
% 0.73/1.08 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 .
% 0.73/1.08 clause( 43, [] )
% 0.73/1.08 .
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 % SZS output end Refutation
% 0.73/1.08 found a proof!
% 0.73/1.08
% 0.73/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.08
% 0.73/1.08 initialclauses(
% 0.73/1.08 [ clause( 45, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.73/1.08 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.73/1.08 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ] )
% 0.73/1.08 , clause( 46, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat'
% 0.73/1.08 ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 0.73/1.08 , clause( 47, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat'
% 0.73/1.08 ) ), 'c_lessequals'( X, Z, 'tc_nat' ) ] )
% 0.73/1.08 , clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 0.73/1.08 'v_list' ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_x', X, 'tc_nat'
% 0.73/1.08 ) ) ] )
% 0.73/1.08 , clause( 49, [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ), 'c_lessequals'(
% 0.73/1.08 Y, 'v_xd'( Y ), 'tc_nat' ) ] )
% 0.73/1.08 , clause( 50, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ), 'c_Message_Oparts'( 'c_insert'(
% 0.73/1.08 'v_xc', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 ] ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.73/1.08 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.73/1.08 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ] )
% 0.73/1.08 , clause( 45, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.73/1.08 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.73/1.08 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.08 ), ==>( 1, 1 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 1, [ 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_plus'(
% 0.73/1.08 X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.73/1.08 , clause( 46, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat'
% 0.73/1.08 ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 2, [ 'c_lessequals'( X, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_plus'(
% 0.73/1.08 X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.73/1.08 , clause( 47, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat'
% 0.73/1.08 ) ), 'c_lessequals'( X, Z, 'tc_nat' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 0.73/1.08 'v_list' ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_x', X, 'tc_nat'
% 0.73/1.08 ) ) ] )
% 0.73/1.08 , clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 0.73/1.08 'v_list' ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_x', X, 'tc_nat'
% 0.73/1.08 ) ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.08 1 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 4, [ 'c_lessequals'( Y, 'v_xd'( Y ), 'tc_nat' ), 'c_lessequals'( X
% 0.73/1.08 , 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 , clause( 49, [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ), 'c_lessequals'(
% 0.73/1.08 Y, 'v_xd'( Y ), 'tc_nat' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.08 ), ==>( 1, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 5, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , clause( 50, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ), 'c_Message_Oparts'( 'c_insert'(
% 0.73/1.08 'v_xc', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 0.73/1.08 ), ==>( 1, 0 ), ==>( 2, 2 ), ==>( 3, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 factor(
% 0.73/1.08 clause( 56, [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 , clause( 4, [ 'c_lessequals'( Y, 'v_xd'( Y ), 'tc_nat' ), 'c_lessequals'(
% 0.73/1.08 X, 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 6, [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 , clause( 56, [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 factor(
% 0.73/1.08 clause( 57, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , clause( 5, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( Y ) ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 factor(
% 0.73/1.08 clause( 58, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , clause( 57, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.73/1.08 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ), 'c_Event_Oused'( 'v_list' ),
% 0.73/1.08 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 7, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , clause( 58, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.08 1 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 resolution(
% 0.73/1.08 clause( 59, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.73/1.08 'tc_nat' ) ] )
% 0.73/1.08 , clause( 2, [ 'c_lessequals'( X, Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.73/1.08 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.73/1.08 , 1, clause( 6, [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'v_xd'( 'c_plus'( X
% 0.73/1.08 , Y, 'tc_nat' ) ) )] ), substitution( 1, [ :=( X, 'c_plus'( X, Y,
% 0.73/1.08 'tc_nat' ) )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 11, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.73/1.08 'tc_nat' ) ] )
% 0.73/1.08 , clause( 59, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.73/1.08 'tc_nat' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.08 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 resolution(
% 0.73/1.08 clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'(
% 0.73/1.08 'v_sko__upX'( X ), Y, 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( X,
% 0.73/1.08 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.08 , clause( 0, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.73/1.08 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.73/1.08 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ] )
% 0.73/1.08 , 1, clause( 11, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( X, Y, 'tc_nat' ) )
% 0.73/1.08 , 'tc_nat' ) ] )
% 0.73/1.08 , 0, substitution( 0, [ :=( X, 'v_xd'( 'c_plus'( 'v_sko__upX'( X ), Y,
% 0.73/1.08 'tc_nat' ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, 'v_sko__upX'( X
% 0.73/1.08 ) ), :=( Y, Y )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 14, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'(
% 0.73/1.08 'v_sko__upX'( X ), Y, 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( X,
% 0.73/1.08 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.08 , clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'(
% 0.73/1.08 'v_sko__upX'( X ), Y, 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( X,
% 0.73/1.08 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.08 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 resolution(
% 0.73/1.08 clause( 61, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.73/1.08 'tc_nat' ) ] )
% 0.73/1.08 , clause( 1, [ 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.73/1.08 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.73/1.08 , 1, clause( 6, [ 'c_lessequals'( X, 'v_xd'( X ), 'tc_nat' ) ] )
% 0.73/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, 'v_xd'( 'c_plus'( Y
% 0.73/1.08 , X, 'tc_nat' ) ) )] ), substitution( 1, [ :=( X, 'c_plus'( Y, X,
% 0.73/1.08 'tc_nat' ) )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 23, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.73/1.08 'tc_nat' ) ] )
% 0.73/1.08 , clause( 61, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.73/1.08 'tc_nat' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.08 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 resolution(
% 0.73/1.08 clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X,
% 0.73/1.08 'v_x', 'tc_nat' ) ) ), 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) )
% 0.73/1.08 ] )
% 0.73/1.08 , clause( 3, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 0.73/1.08 'v_list' ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_x', X, 'tc_nat'
% 0.73/1.08 ) ) ] )
% 0.73/1.08 , 1, clause( 23, [ 'c_lessequals'( X, 'v_xd'( 'c_plus'( Y, X, 'tc_nat' ) )
% 0.73/1.08 , 'tc_nat' ) ] )
% 0.73/1.08 , 0, substitution( 0, [ :=( X, 'v_xd'( 'c_plus'( X, 'v_x', 'tc_nat' ) ) )] )
% 0.73/1.08 , substitution( 1, [ :=( X, 'v_x' ), :=( Y, X )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 27, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X,
% 0.73/1.08 'v_x', 'tc_nat' ) ) ), 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) )
% 0.73/1.08 ] )
% 0.73/1.08 , clause( 62, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X,
% 0.73/1.08 'v_x', 'tc_nat' ) ) ), 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) )
% 0.73/1.08 ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 resolution(
% 0.73/1.08 clause( 63, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X, 'v_x',
% 0.73/1.08 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset',
% 0.73/1.08 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , clause( 27, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X,
% 0.73/1.08 'v_x', 'tc_nat' ) ) ), 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) )
% 0.73/1.08 ] )
% 0.73/1.08 , 0, clause( 7, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset', 'tc_Message_Omsg' )
% 0.73/1.08 ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( X ) ),
% 0.73/1.08 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'c_plus'(
% 0.73/1.08 X, 'v_x', 'tc_nat' ) )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 37, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X, 'v_x',
% 0.73/1.08 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset',
% 0.73/1.08 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , clause( 63, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X, 'v_x'
% 0.73/1.08 , 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( 'v_xc', 'c_emptyset',
% 0.73/1.08 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 resolution(
% 0.73/1.08 clause( 64, [] )
% 0.73/1.08 , clause( 14, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'(
% 0.73/1.08 'v_sko__upX'( X ), Y, 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( X,
% 0.73/1.08 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.08 , 0, clause( 37, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_xd'( 'c_plus'( X,
% 0.73/1.08 'v_x', 'tc_nat' ) ) ), 'c_Message_Oparts'( 'c_insert'( 'v_xc',
% 0.73/1.08 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.08 , 0, substitution( 0, [ :=( X, 'v_xc' ), :=( Y, 'v_x' )] ), substitution( 1
% 0.73/1.08 , [ :=( X, 'v_sko__upX'( 'v_xc' ) )] )).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 subsumption(
% 0.73/1.08 clause( 43, [] )
% 0.73/1.08 , clause( 64, [] )
% 0.73/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 end.
% 0.73/1.08
% 0.73/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.08
% 0.73/1.08 Memory use:
% 0.73/1.08
% 0.73/1.08 space for terms: 821
% 0.73/1.08 space for clauses: 3778
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 clauses generated: 120
% 0.73/1.08 clauses kept: 44
% 0.73/1.08 clauses selected: 29
% 0.73/1.08 clauses deleted: 2
% 0.73/1.08 clauses inuse deleted: 0
% 0.73/1.08
% 0.73/1.08 subsentry: 51
% 0.73/1.08 literals s-matched: 46
% 0.73/1.08 literals matched: 46
% 0.73/1.08 full subsumption: 0
% 0.73/1.08
% 0.73/1.08 checksum: -1931585684
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Bliksem ended
%------------------------------------------------------------------------------