TSTP Solution File: SWV284-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 0.43s 1.09s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n014.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 : Wed Jun 15 10:20:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.09 *** allocated 10000 integers for termspace/termends
% 0.43/1.09 *** allocated 10000 integers for clauses
% 0.43/1.09 *** allocated 10000 integers for justifications
% 0.43/1.09 Bliksem 1.12
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Automatic Strategy Selection
% 0.43/1.09
% 0.43/1.09 Clauses:
% 0.43/1.09 [
% 0.43/1.09 [ 'c_lessequals'( X, 'v_x'( X ), 'tc_nat' ) ],
% 0.43/1.09 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 'v_list' ),
% 0.43/1.09 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_N', X, 'tc_nat' ) ) ],
% 0.43/1.09 [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ), 'c_Event_Oused'(
% 0.43/1.09 'v_list' ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'(
% 0.43/1.09 X ) ), 'c_Message_Oparts'( 'c_insert'( 'v_msg', 'c_emptyset',
% 0.43/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ],
% 0.43/1.09 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.43/1.09 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.43/1.09 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ],
% 0.43/1.09 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ),
% 0.43/1.09 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 0.43/1.09 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ),
% 0.43/1.09 'c_lessequals'( X, Z, 'tc_nat' ) ]
% 0.43/1.09 ] .
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 percentage equality = 0.000000, percentage horn = 0.833333
% 0.43/1.09 This a non-horn, non-equality problem
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Options Used:
% 0.43/1.09
% 0.43/1.09 useres = 1
% 0.43/1.09 useparamod = 0
% 0.43/1.09 useeqrefl = 0
% 0.43/1.09 useeqfact = 0
% 0.43/1.09 usefactor = 1
% 0.43/1.09 usesimpsplitting = 0
% 0.43/1.09 usesimpdemod = 0
% 0.43/1.09 usesimpres = 3
% 0.43/1.09
% 0.43/1.09 resimpinuse = 1000
% 0.43/1.09 resimpclauses = 20000
% 0.43/1.09 substype = standard
% 0.43/1.09 backwardsubs = 1
% 0.43/1.09 selectoldest = 5
% 0.43/1.09
% 0.43/1.09 litorderings [0] = split
% 0.43/1.09 litorderings [1] = liftord
% 0.43/1.09
% 0.43/1.09 termordering = none
% 0.43/1.09
% 0.43/1.09 litapriori = 1
% 0.43/1.09 termapriori = 0
% 0.43/1.09 litaposteriori = 0
% 0.43/1.09 termaposteriori = 0
% 0.43/1.09 demodaposteriori = 0
% 0.43/1.09 ordereqreflfact = 0
% 0.43/1.09
% 0.43/1.09 litselect = none
% 0.43/1.09
% 0.43/1.09 maxweight = 15
% 0.43/1.09 maxdepth = 30000
% 0.43/1.09 maxlength = 115
% 0.43/1.09 maxnrvars = 195
% 0.43/1.09 excuselevel = 1
% 0.43/1.09 increasemaxweight = 1
% 0.43/1.09
% 0.43/1.09 maxselected = 10000000
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09
% 0.43/1.09 showgenerated = 0
% 0.43/1.09 showkept = 0
% 0.43/1.09 showselected = 0
% 0.43/1.09 showdeleted = 0
% 0.43/1.09 showresimp = 1
% 0.43/1.09 showstatus = 2000
% 0.43/1.09
% 0.43/1.09 prologoutput = 1
% 0.43/1.09 nrgoals = 5000000
% 0.43/1.09 totalproof = 1
% 0.43/1.09
% 0.43/1.09 Symbols occurring in the translation:
% 0.43/1.09
% 0.43/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.09 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.43/1.09 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.43/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.09 'v_x' [40, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.43/1.09 'tc_nat' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.09 'c_lessequals' [42, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.43/1.09 'c_Message_Omsg_ONonce' [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.09 'v_list' [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.09 'c_Event_Oused' [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.09 'tc_Message_Omsg' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.09 'c_in' [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.43/1.09 'v_N' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.09 'v_msg' [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.43/1.09 'c_emptyset' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.09 'c_insert' [51, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.43/1.09 'c_Message_Oparts' [52, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.09 'v_sko__upX' [54, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.09 'c_plus' [57, 3] (w:1, o:58, a:1, s:1, b:0).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Bliksems!, er is een bewijs:
% 0.43/1.09 % SZS status Unsatisfiable
% 0.43/1.09 % SZS output start Refutation
% 0.43/1.09
% 0.43/1.09 clause( 0, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_nat' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 1, [ ~( 'c_lessequals'( 'v_N', X, 'tc_nat' ) ), ~( 'c_in'(
% 0.43/1.09 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 'v_list' ),
% 0.43/1.09 'tc_Message_Omsg' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 2, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ), 'c_Event_Oused'(
% 0.43/1.09 'v_list' ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'(
% 0.43/1.09 X ) ), 'c_Message_Oparts'( 'c_insert'( 'v_msg', 'c_emptyset',
% 0.43/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 3, [ ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ), ~(
% 0.43/1.09 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( 'c_insert'( Y,
% 0.43/1.09 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 4, [ 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_plus'(
% 0.43/1.09 X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 5, [ 'c_lessequals'( X, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_plus'(
% 0.43/1.09 X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 7, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 8, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( 'c_plus'( X, Y, 'tc_nat' )
% 0.43/1.09 , Z, 'tc_nat' ) ), 'tc_nat' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 13, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 22, [ ~( 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ),
% 0.43/1.09 'tc_nat' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ),
% 0.43/1.09 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 25, [ ~( 'c_lessequals'( 'v_N', 'v_x'( X ), 'tc_nat' ) ), ~(
% 0.43/1.09 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ), 'tc_nat' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 30, [ ~( 'c_lessequals'( 'v_N', 'v_x'( 'c_plus'( X, 'v_sko__upX'(
% 0.43/1.09 'v_msg' ), 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 44, [] )
% 0.43/1.09 .
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 % SZS output end Refutation
% 0.43/1.09 found a proof!
% 0.43/1.09
% 0.43/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.09
% 0.43/1.09 initialclauses(
% 0.43/1.09 [ clause( 46, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_nat' ) ] )
% 0.43/1.09 , clause( 47, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 0.43/1.09 'v_list' ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_N', X, 'tc_nat'
% 0.43/1.09 ) ) ] )
% 0.43/1.09 , clause( 48, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ),
% 0.43/1.09 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.43/1.09 'c_Message_Omsg_ONonce'( 'v_x'( X ) ), 'c_Message_Oparts'( 'c_insert'(
% 0.43/1.09 'v_msg', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 , clause( 49, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.43/1.09 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.43/1.09 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ] )
% 0.43/1.09 , clause( 50, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat'
% 0.43/1.09 ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 0.43/1.09 , clause( 51, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat'
% 0.43/1.09 ) ), 'c_lessequals'( X, Z, 'tc_nat' ) ] )
% 0.43/1.09 ] ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 0, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_nat' ) ] )
% 0.43/1.09 , clause( 46, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_nat' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 1, [ ~( 'c_lessequals'( 'v_N', X, 'tc_nat' ) ), ~( 'c_in'(
% 0.43/1.09 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 'v_list' ),
% 0.43/1.09 'tc_Message_Omsg' ) ) ] )
% 0.43/1.09 , clause( 47, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 0.43/1.09 'v_list' ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( 'v_N', X, 'tc_nat'
% 0.43/1.09 ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.09 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 2, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ), 'c_Event_Oused'(
% 0.43/1.09 'v_list' ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'(
% 0.43/1.09 X ) ), 'c_Message_Oparts'( 'c_insert'( 'v_msg', 'c_emptyset',
% 0.43/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 , clause( 48, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ),
% 0.43/1.09 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.43/1.09 'c_Message_Omsg_ONonce'( 'v_x'( X ) ), 'c_Message_Oparts'( 'c_insert'(
% 0.43/1.09 'v_msg', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.09 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 3, [ ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ), ~(
% 0.43/1.09 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( 'c_insert'( Y,
% 0.43/1.09 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.09 , clause( 49, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 0.43/1.09 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) )
% 0.43/1.09 , ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.43/1.09 ), ==>( 1, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 4, [ 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_plus'(
% 0.43/1.09 X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.43/1.09 , clause( 50, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat'
% 0.43/1.09 ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 5, [ 'c_lessequals'( X, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_plus'(
% 0.43/1.09 X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.43/1.09 , clause( 51, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat'
% 0.43/1.09 ) ), 'c_lessequals'( X, Z, 'tc_nat' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 52, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 , clause( 5, [ 'c_lessequals'( X, Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.43/1.09 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.43/1.09 , 1, clause( 0, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_nat' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'v_x'( 'c_plus'( X,
% 0.43/1.09 Y, 'tc_nat' ) ) )] ), substitution( 1, [ :=( X, 'c_plus'( X, Y, 'tc_nat'
% 0.43/1.09 ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 7, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 , clause( 52, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.09 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 53, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( 'c_plus'( X, Y, 'tc_nat'
% 0.43/1.09 ), Z, 'tc_nat' ) ), 'tc_nat' ) ] )
% 0.43/1.09 , clause( 5, [ 'c_lessequals'( X, Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.43/1.09 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.43/1.09 , 1, clause( 7, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'v_x'( 'c_plus'(
% 0.43/1.09 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) )] ), substitution( 1, [ :=(
% 0.43/1.09 X, 'c_plus'( X, Y, 'tc_nat' ) ), :=( Y, Z )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 8, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( 'c_plus'( X, Y, 'tc_nat' )
% 0.43/1.09 , Z, 'tc_nat' ) ), 'tc_nat' ) ] )
% 0.43/1.09 , clause( 53, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( 'c_plus'( X, Y,
% 0.43/1.09 'tc_nat' ), Z, 'tc_nat' ) ), 'tc_nat' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 54, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 , clause( 4, [ 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.43/1.09 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 0.43/1.09 , 1, clause( 0, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_nat' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, 'v_x'( 'c_plus'( Y,
% 0.43/1.09 X, 'tc_nat' ) ) )] ), substitution( 1, [ :=( X, 'c_plus'( Y, X, 'tc_nat'
% 0.43/1.09 ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 13, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 , clause( 54, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.09 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 55, [ ~( 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ),
% 0.43/1.09 'tc_nat' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ),
% 0.43/1.09 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 , clause( 3, [ ~( 'c_lessequals'( 'v_sko__upX'( Y ), X, 'tc_nat' ) ), ~(
% 0.43/1.09 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( 'c_insert'( Y,
% 0.43/1.09 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.43/1.09 , 1, clause( 2, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ),
% 0.43/1.09 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.43/1.09 'c_Message_Omsg_ONonce'( 'v_x'( X ) ), 'c_Message_Oparts'( 'c_insert'(
% 0.43/1.09 'v_msg', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 , 1, substitution( 0, [ :=( X, 'v_x'( X ) ), :=( Y, 'v_msg' )] ),
% 0.43/1.09 substitution( 1, [ :=( X, X )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 22, [ ~( 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ),
% 0.43/1.09 'tc_nat' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ),
% 0.43/1.09 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 , clause( 55, [ ~( 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ),
% 0.43/1.09 'tc_nat' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ),
% 0.43/1.09 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.09 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 56, [ ~( 'c_lessequals'( 'v_N', 'v_x'( X ), 'tc_nat' ) ), ~(
% 0.43/1.09 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ), 'tc_nat' ) ) ] )
% 0.43/1.09 , clause( 1, [ ~( 'c_lessequals'( 'v_N', X, 'tc_nat' ) ), ~( 'c_in'(
% 0.43/1.09 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 'v_list' ),
% 0.43/1.09 'tc_Message_Omsg' ) ) ] )
% 0.43/1.09 , 1, clause( 22, [ ~( 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ),
% 0.43/1.09 'tc_nat' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( 'v_x'( X ) ),
% 0.43/1.09 'c_Event_Oused'( 'v_list' ), 'tc_Message_Omsg' ) ] )
% 0.43/1.09 , 1, substitution( 0, [ :=( X, 'v_x'( X ) )] ), substitution( 1, [ :=( X, X
% 0.43/1.09 )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 25, [ ~( 'c_lessequals'( 'v_N', 'v_x'( X ), 'tc_nat' ) ), ~(
% 0.43/1.09 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ), 'tc_nat' ) ) ] )
% 0.43/1.09 , clause( 56, [ ~( 'c_lessequals'( 'v_N', 'v_x'( X ), 'tc_nat' ) ), ~(
% 0.43/1.09 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ), 'tc_nat' ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.09 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 58, [ ~( 'c_lessequals'( 'v_N', 'v_x'( 'c_plus'( X, 'v_sko__upX'(
% 0.43/1.09 'v_msg' ), 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 0.43/1.09 , clause( 25, [ ~( 'c_lessequals'( 'v_N', 'v_x'( X ), 'tc_nat' ) ), ~(
% 0.43/1.09 'c_lessequals'( 'v_sko__upX'( 'v_msg' ), 'v_x'( X ), 'tc_nat' ) ) ] )
% 0.43/1.09 , 1, clause( 13, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( Y, X, 'tc_nat' ) ),
% 0.43/1.09 'tc_nat' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'c_plus'( X, 'v_sko__upX'( 'v_msg' ),
% 0.43/1.09 'tc_nat' ) )] ), substitution( 1, [ :=( X, 'v_sko__upX'( 'v_msg' ) ),
% 0.43/1.09 :=( Y, X )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 30, [ ~( 'c_lessequals'( 'v_N', 'v_x'( 'c_plus'( X, 'v_sko__upX'(
% 0.43/1.09 'v_msg' ), 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 0.43/1.09 , clause( 58, [ ~( 'c_lessequals'( 'v_N', 'v_x'( 'c_plus'( X, 'v_sko__upX'(
% 0.43/1.09 'v_msg' ), 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 59, [] )
% 0.43/1.09 , clause( 30, [ ~( 'c_lessequals'( 'v_N', 'v_x'( 'c_plus'( X, 'v_sko__upX'(
% 0.43/1.09 'v_msg' ), 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 0.43/1.09 , 0, clause( 8, [ 'c_lessequals'( X, 'v_x'( 'c_plus'( 'c_plus'( X, Y,
% 0.43/1.09 'tc_nat' ), Z, 'tc_nat' ) ), 'tc_nat' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'c_plus'( 'v_N', X, 'tc_nat' ) )] ),
% 0.43/1.09 substitution( 1, [ :=( X, 'v_N' ), :=( Y, X ), :=( Z, 'v_sko__upX'(
% 0.43/1.09 'v_msg' ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 44, [] )
% 0.43/1.09 , clause( 59, [] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 end.
% 0.43/1.09
% 0.43/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.09
% 0.43/1.09 Memory use:
% 0.43/1.09
% 0.43/1.09 space for terms: 753
% 0.43/1.09 space for clauses: 3994
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 clauses generated: 62
% 0.43/1.09 clauses kept: 45
% 0.43/1.09 clauses selected: 19
% 0.43/1.09 clauses deleted: 0
% 0.43/1.09 clauses inuse deleted: 0
% 0.43/1.09
% 0.43/1.09 subsentry: 27
% 0.43/1.09 literals s-matched: 26
% 0.43/1.09 literals matched: 26
% 0.43/1.09 full subsumption: 0
% 0.43/1.09
% 0.43/1.09 checksum: 18329143
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Bliksem ended
%------------------------------------------------------------------------------