%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV279-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 16:23:34 EDT 2022
% Result : Unsatisfiable 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV279-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 22:16:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08 [
% 0.70/1.08 [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_Event_Oused'(
% 0.70/1.08 'v_H' ), 'tc_Message_Omsg' ) ],
% 0.70/1.08 [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ), ~(
% 0.70/1.08 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ) ],
% 0.70/1.08 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.08 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 0.70/1.08 'tc_Message_Omsg' ) ],
% 0.70/1.08 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.08 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 0.70/1.08 'tc_Message_Omsg' ) ],
% 0.70/1.08 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 0.70/1.08 Y ), 'tc_Message_Omsg' ) ],
% 0.70/1.08 [ ~( 'c_in'( X, 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ),
% 0.70/1.08 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X, 'c_emptyset',
% 0.70/1.08 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Y ), 'tc_set'( 'tc_Message_Omsg'
% 0.70/1.08 ) ) ],
% 0.70/1.08 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.70/1.08 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 0.70/1.08 'c_in'( X, T, Z ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 0.000000, percentage horn = 1.000000
% 0.70/1.08 This is a near-Horn, non-equality problem
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 0
% 0.70/1.08 useeqrefl = 0
% 0.70/1.08 useeqfact = 0
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 0
% 0.70/1.08 usesimpres = 4
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = standard
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = liftord
% 0.70/1.08
% 0.70/1.08 termordering = none
% 0.70/1.08
% 0.70/1.08 litapriori = 1
% 0.70/1.08 termapriori = 0
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = negative
% 0.70/1.08
% 0.70/1.08 maxweight = 30000
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 0
% 0.70/1.08 increasemaxweight = 0
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 1
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 'v_X' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.09 'v_Y' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.70/1.09 'c_Message_Omsg_OMPair' [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.70/1.09 'v_H' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.70/1.09 'c_Event_Oused' [43, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.70/1.09 'tc_Message_Omsg' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.09 'c_in' [45, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.70/1.09 'c_Message_Oparts' [49, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.70/1.09 'c_emptyset' [51, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.70/1.09 'c_insert' [52, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.70/1.09 'tc_set' [53, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.70/1.09 'c_lessequals' [54, 3] (w:1, o:59, a:1, s:1, b:0).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Unsatisfiable
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.70/1.09 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 1, [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg'
% 0.70/1.09 ) ), ~( 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ) ]
% 0.70/1.09 )
% 0.70/1.09 .
% 0.70/1.09 clause( 2, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 3, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 5, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X,
% 0.70/1.09 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Y ), 'tc_set'(
% 0.70/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( X, 'c_Event_Oused'( Y ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 6, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 7, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z )
% 0.70/1.09 , ~( 'c_in'( X, Y, Z ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 9, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 0.70/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 21, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( Y, X ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 29, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 32, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_emptyset', 'tc_Message_Omsg'
% 0.70/1.09 ) ), 'c_Event_Oused'( 'v_H' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 41, [ 'c_in'( Y, T, 'tc_Message_Omsg' ), ~( 'c_lessequals'(
% 0.70/1.09 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 0.70/1.09 'tc_Message_Omsg' ) ), T, 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 42, [ 'c_in'( X, T, 'tc_Message_Omsg' ), ~( 'c_lessequals'(
% 0.70/1.09 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 0.70/1.09 'tc_Message_Omsg' ) ), T, 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 115, [ 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' )
% 0.70/1.09 ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 121, [ 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' )
% 0.70/1.09 ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 124, [] )
% 0.70/1.09 .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 initialclauses(
% 0.70/1.09 [ clause( 126, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.70/1.09 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 127, [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , clause( 128, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 129, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.70/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 130, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.70/1.09 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 131, [ ~( 'c_in'( X, 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) )
% 0.70/1.09 , 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X, 'c_emptyset',
% 0.70/1.09 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Y ), 'tc_set'( 'tc_Message_Omsg'
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , clause( 132, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.70/1.09 , clause( 133, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 0.70/1.09 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 0.70/1.09 ] ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.70/1.09 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 126, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.70/1.09 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 1, [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg'
% 0.70/1.09 ) ), ~( 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 127, [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 2, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , clause( 128, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 0.70/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 3, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , clause( 129, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.70/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.70/1.09 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , clause( 130, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.70/1.09 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.09 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 5, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X,
% 0.70/1.09 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Y ), 'tc_set'(
% 0.70/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( X, 'c_Event_Oused'( Y ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , clause( 131, [ ~( 'c_in'( X, 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) )
% 0.70/1.09 , 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X, 'c_emptyset',
% 0.70/1.09 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Y ), 'tc_set'( 'tc_Message_Omsg'
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.09 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 6, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.70/1.09 , clause( 132, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 7, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z )
% 0.70/1.09 , ~( 'c_in'( X, Y, Z ) ) ] )
% 0.70/1.09 , clause( 133, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 0.70/1.09 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 134, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 0.70/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , 1, clause( 6, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Y,
% 0.70/1.09 'tc_Message_Omsg' ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.70/1.09 Z, 'tc_Message_Omsg' )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 9, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 0.70/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 134, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 0.70/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 135, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( Y, X ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 2, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , 1, clause( 9, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 0.70/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( Y, X ), Z, 'tc_Message_Omsg' ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( Y, X ) ), :=( Y, Z )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 21, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( Y, X ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 135, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( Y, X ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 136, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 3, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~(
% 0.70/1.09 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , 1, clause( 9, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 0.70/1.09 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X, Y ) ), :=( Y, Z )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 29, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 136, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 137, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_emptyset', 'tc_Message_Omsg'
% 0.70/1.09 ) ), 'c_Event_Oused'( 'v_H' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , clause( 5, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X,
% 0.70/1.09 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Y ), 'tc_set'(
% 0.70/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( X, 'c_Event_Oused'( Y ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , 1, clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.70/1.09 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ) ),
% 0.70/1.09 :=( Y, 'v_H' )] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 32, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_emptyset', 'tc_Message_Omsg'
% 0.70/1.09 ) ), 'c_Event_Oused'( 'v_H' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , clause( 137, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_emptyset', 'tc_Message_Omsg'
% 0.70/1.09 ) ), 'c_Event_Oused'( 'v_H' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 138, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), T, 'tc_set'(
% 0.70/1.09 'tc_Message_Omsg' ) ) ), 'c_in'( Y, T, 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 7, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z
% 0.70/1.09 ), ~( 'c_in'( X, Y, Z ) ) ] )
% 0.70/1.09 , 2, clause( 21, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( Y, X ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ) ), :=( Z,
% 0.70/1.09 'tc_Message_Omsg' ), :=( T, T )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.70/1.09 , X ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 41, [ 'c_in'( Y, T, 'tc_Message_Omsg' ), ~( 'c_lessequals'(
% 0.70/1.09 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 0.70/1.09 'tc_Message_Omsg' ) ), T, 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09 , clause( 138, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), T, 'tc_set'(
% 0.70/1.09 'tc_Message_Omsg' ) ) ), 'c_in'( Y, T, 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 139, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), T, 'tc_set'(
% 0.70/1.09 'tc_Message_Omsg' ) ) ), 'c_in'( X, T, 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , clause( 7, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z
% 0.70/1.09 ), ~( 'c_in'( X, Y, Z ) ) ] )
% 0.70/1.09 , 2, clause( 29, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ) ), :=( Z,
% 0.70/1.09 'tc_Message_Omsg' ), :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.70/1.09 , Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 42, [ 'c_in'( X, T, 'tc_Message_Omsg' ), ~( 'c_lessequals'(
% 0.70/1.09 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 0.70/1.09 'tc_Message_Omsg' ) ), T, 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09 , clause( 139, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), T, 'tc_set'(
% 0.70/1.09 'tc_Message_Omsg' ) ) ), 'c_in'( X, T, 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 140, [ 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 41, [ 'c_in'( Y, T, 'tc_Message_Omsg' ), ~( 'c_lessequals'(
% 0.70/1.09 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 0.70/1.09 'tc_Message_Omsg' ) ), T, 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09 , 1, clause( 32, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_emptyset', 'tc_Message_Omsg'
% 0.70/1.09 ) ), 'c_Event_Oused'( 'v_H' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'v_Y' ), :=( Z, 'c_emptyset'
% 0.70/1.09 ), :=( T, 'c_Event_Oused'( 'v_H' ) )] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 115, [ 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 140, [ 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg'
% 0.70/1.09 ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 141, [ 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 42, [ 'c_in'( X, T, 'tc_Message_Omsg' ), ~( 'c_lessequals'(
% 0.70/1.09 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 0.70/1.09 'tc_Message_Omsg' ) ), T, 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09 , 1, clause( 32, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 0.70/1.09 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_emptyset', 'tc_Message_Omsg'
% 0.70/1.09 ) ), 'c_Event_Oused'( 'v_H' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'v_Y' ), :=( Z, 'c_emptyset'
% 0.70/1.09 ), :=( T, 'c_Event_Oused'( 'v_H' ) )] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 121, [ 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 141, [ 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg'
% 0.70/1.09 ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 142, [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , clause( 1, [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ), ~( 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , 1, clause( 121, [ 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 143, [] )
% 0.70/1.09 , clause( 142, [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ) ] )
% 0.70/1.09 , 0, clause( 115, [ 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ),
% 0.70/1.09 'tc_Message_Omsg' ) ] )
% 0.70/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 124, [] )
% 0.70/1.09 , clause( 143, [] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 end.
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 1877
% 0.70/1.09 space for clauses: 9711
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 149
% 0.70/1.09 clauses kept: 125
% 0.70/1.09 clauses selected: 62
% 0.70/1.09 clauses deleted: 0
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 69
% 0.70/1.09 literals s-matched: 69
% 0.70/1.09 literals matched: 69
% 0.70/1.09 full subsumption: 0
% 0.70/1.09
% 0.70/1.09 checksum: 285841354
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
%------------------------------------------------------------------------------