TSTP Solution File: SWV252-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV252-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 16:23:13 EDT 2022
% Result : Unsatisfiable 1.82s 2.25s
% Output : Refutation 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWV252-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.08 % Command : bliksem %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % DateTime : Wed Jun 15 01:42:28 EDT 2022
% 0.07/0.26 % CPUTime :
% 1.82/2.25 *** allocated 10000 integers for termspace/termends
% 1.82/2.25 *** allocated 10000 integers for clauses
% 1.82/2.25 *** allocated 10000 integers for justifications
% 1.82/2.25 Bliksem 1.12
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Automatic Strategy Selection
% 1.82/2.25
% 1.82/2.25 Clauses:
% 1.82/2.25 [
% 1.82/2.25 [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ),
% 1.82/2.25 'tc_Message_Omsg' ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'v_H',
% 1.82/2.25 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.82/2.25 'v_H' ) ), 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ) ],
% 1.82/2.25 [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'(
% 1.82/2.25 X ) ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oanalz'(
% 1.82/2.25 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.82/2.25 [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'(
% 1.82/2.25 X ) ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oparts'(
% 1.82/2.25 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.82/2.25 [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 'c_union'(
% 1.82/2.25 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.82/2.25 ,
% 1.82/2.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.82/2.25 [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X,
% 1.82/2.25 Y, Z ) ) ],
% 1.82/2.25 [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.82/2.25 Y, Z ) ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y,
% 1.82/2.25 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.82/2.25 ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'(
% 1.82/2.25 X, T, Z ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.82/2.25 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.82/2.25 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.82/2.25 [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ]
% 1.82/2.25 ] .
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 percentage equality = 0.181818, percentage horn = 1.000000
% 1.82/2.25 This is a problem with some equality
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Options Used:
% 1.82/2.25
% 1.82/2.25 useres = 1
% 1.82/2.25 useparamod = 1
% 1.82/2.25 useeqrefl = 1
% 1.82/2.25 useeqfact = 1
% 1.82/2.25 usefactor = 1
% 1.82/2.25 usesimpsplitting = 0
% 1.82/2.25 usesimpdemod = 5
% 1.82/2.25 usesimpres = 3
% 1.82/2.25
% 1.82/2.25 resimpinuse = 1000
% 1.82/2.25 resimpclauses = 20000
% 1.82/2.25 substype = eqrewr
% 1.82/2.25 backwardsubs = 1
% 1.82/2.25 selectoldest = 5
% 1.82/2.25
% 1.82/2.25 litorderings [0] = split
% 1.82/2.25 litorderings [1] = extend the termordering, first sorting on arguments
% 1.82/2.25
% 1.82/2.25 termordering = kbo
% 1.82/2.25
% 1.82/2.25 litapriori = 0
% 1.82/2.25 termapriori = 1
% 1.82/2.25 litaposteriori = 0
% 1.82/2.25 termaposteriori = 0
% 1.82/2.25 demodaposteriori = 0
% 1.82/2.25 ordereqreflfact = 0
% 1.82/2.25
% 1.82/2.25 litselect = negord
% 1.82/2.25
% 1.82/2.25 maxweight = 15
% 1.82/2.25 maxdepth = 30000
% 1.82/2.25 maxlength = 115
% 1.82/2.25 maxnrvars = 195
% 1.82/2.25 excuselevel = 1
% 1.82/2.25 increasemaxweight = 1
% 1.82/2.25
% 1.82/2.25 maxselected = 10000000
% 1.82/2.25 maxnrclauses = 10000000
% 1.82/2.25
% 1.82/2.25 showgenerated = 0
% 1.82/2.25 showkept = 0
% 1.82/2.25 showselected = 0
% 1.82/2.25 showdeleted = 0
% 1.82/2.25 showresimp = 1
% 1.82/2.25 showstatus = 2000
% 1.82/2.25
% 1.82/2.25 prologoutput = 1
% 1.82/2.25 nrgoals = 5000000
% 1.82/2.25 totalproof = 1
% 1.82/2.25
% 1.82/2.25 Symbols occurring in the translation:
% 1.82/2.25
% 1.82/2.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.82/2.25 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 1.82/2.25 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 1.82/2.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.82/2.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.82/2.25 'v_X' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.82/2.25 'v_H' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.82/2.25 'c_Message_Oanalz' [41, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.82/2.25 'c_Message_Osynth' [42, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.82/2.25 'tc_Message_Omsg' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.82/2.25 'c_in' [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 1.82/2.25 'c_insert' [45, 3] (w:1, o:56, a:1, s:1, b:0),
% 1.82/2.25 'c_Message_Oparts' [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.82/2.25 'c_union' [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 1.82/2.25 'tc_set' [48, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.82/2.25 'c_lessequals' [49, 3] (w:1, o:58, a:1, s:1, b:0),
% 1.82/2.25 'class_Orderings_Oorder' [53, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.82/2.25 'c_minus' [57, 3] (w:1, o:59, a:1, s:1, b:0).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Starting Search:
% 1.82/2.25
% 1.82/2.25 Resimplifying inuse:
% 1.82/2.25 Done
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Intermediate Status:
% 1.82/2.25 Generated: 12759
% 1.82/2.25 Kept: 2009
% 1.82/2.25 Inuse: 298
% 1.82/2.25 Deleted: 51
% 1.82/2.25 Deletedinuse: 13
% 1.82/2.25
% 1.82/2.25 Resimplifying inuse:
% 1.82/2.25 Done
% 1.82/2.25
% 1.82/2.25 Resimplifying inuse:
% 1.82/2.25 Done
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Intermediate Status:
% 1.82/2.25 Generated: 35269
% 1.82/2.25 Kept: 4011
% 1.82/2.25 Inuse: 503
% 1.82/2.25 Deleted: 53
% 1.82/2.25 Deletedinuse: 14
% 1.82/2.25
% 1.82/2.25 Resimplifying inuse:
% 1.82/2.25 Done
% 1.82/2.25
% 1.82/2.25 Resimplifying inuse:
% 1.82/2.25 Done
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Intermediate Status:
% 1.82/2.25 Generated: 134369
% 1.82/2.25 Kept: 6017
% 1.82/2.25 Inuse: 746
% 1.82/2.25 Deleted: 118
% 1.82/2.25 Deletedinuse: 50
% 1.82/2.25
% 1.82/2.25 Resimplifying inuse:
% 1.82/2.25 Done
% 1.82/2.25
% 1.82/2.25 Resimplifying inuse:
% 1.82/2.25 Done
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Intermediate Status:
% 1.82/2.25 Generated: 192791
% 1.82/2.25 Kept: 8064
% 1.82/2.25 Inuse: 918
% 1.82/2.25 Deleted: 128
% 1.82/2.25 Deletedinuse: 50
% 1.82/2.25
% 1.82/2.25 Resimplifying inuse:
% 1.82/2.25 Done
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Bliksems!, er is een bewijs:
% 1.82/2.25 % SZS status Unsatisfiable
% 1.82/2.25 % SZS output start Refutation
% 1.82/2.25
% 1.82/2.25 clause( 0, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' )
% 1.82/2.25 ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 1, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.82/2.25 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ), 'c_Message_Oparts'( 'v_H' ),
% 1.82/2.25 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 4, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 1.82/2.25 'c_Message_Oparts'( X ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 5, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'(
% 1.82/2.25 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X,
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 6, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 7, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X )
% 1.82/2.25 , 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ) ) ]
% 1.82/2.25 )
% 1.82/2.25 .
% 1.82/2.25 clause( 8, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X )
% 1.82/2.25 ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 9, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 10, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 11, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) )
% 1.82/2.25 , 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 12, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) )
% 1.82/2.25 , 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 13, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 1.82/2.25 T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y,
% 1.82/2.25 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 14, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) )
% 1.82/2.25 ), 'c_in'( X, T, Z ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 15, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) )
% 1.82/2.25 ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 16, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z
% 1.82/2.25 ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 17, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 1.82/2.25 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 18, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 21, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 27, [ 'c_lessequals'( X, 'c_insert'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 .
% 1.82/2.25 clause( 51, [ 'c_lessequals'( X, 'c_Message_Oparts'( X ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 55, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 1.82/2.25 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 104, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 .
% 1.82/2.25 clause( 111, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_union'(
% 1.82/2.25 X, Y, Z ), 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 112, [ 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 150, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 .
% 1.82/2.25 clause( 200, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 1.82/2.25 'c_union'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 201, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 1.82/2.25 'c_union'( Y, X, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 202, [ ~( 'c_lessequals'( 'c_minus'( Y, X, 'tc_set'( Z ) ), T,
% 1.82/2.25 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 222, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) )
% 1.82/2.25 , ~( 'c_lessequals'( Z, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 1.82/2.25 X, Z, 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 231, [ ~( 'c_in'( X, Y, Z ) ), 'c_lessequals'( 'c_insert'( X, Y, Z
% 1.82/2.25 ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 238, [ 'c_lessequals'( X, 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 2111, [ ~( 'c_in'( X, Y, Z ) ), =( 'c_insert'( X, Y, Z ), Y ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 2143, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 1.82/2.25 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 2214, [ 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 3720, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_union'( X
% 1.82/2.25 , Y, Z ), Y ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 3910, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_union'( Y
% 1.82/2.25 , X, Z ), Y ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 4006, [ 'c_lessequals'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z )
% 1.82/2.25 , 'tc_set'( Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 4007, [ =( 'c_union'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z ), Z
% 1.82/2.25 ), 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 4008, [ =( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 4015, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.82/2.25 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 8163, [ ~( 'c_lessequals'( 'v_H', 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 .
% 1.82/2.25 clause( 8168, [] )
% 1.82/2.25 .
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 % SZS output end Refutation
% 1.82/2.25 found a proof!
% 1.82/2.25
% 1.82/2.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.82/2.25
% 1.82/2.25 initialclauses(
% 1.82/2.25 [ clause( 8170, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.82/2.25 'v_H' ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , clause( 8171, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X'
% 1.82/2.25 , 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ), 'c_Message_Oparts'( 'v_H' ),
% 1.82/2.25 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 8172, [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ),
% 1.82/2.25 'c_Message_Oparts'( X ) ) ] )
% 1.82/2.25 , clause( 8173, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ),
% 1.82/2.25 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.82/2.25 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.82/2.25 ) ] )
% 1.82/2.25 , clause( 8174, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 1.82/2.25 'c_Message_Oparts'( X ) ) ] )
% 1.82/2.25 , clause( 8175, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.82/2.25 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.82/2.25 ) ] )
% 1.82/2.25 , clause( 8176, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8177, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ),
% 1.82/2.25 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ),
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8178, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 1.82/2.25 , X ) ] )
% 1.82/2.25 , clause( 8179, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , clause( 8180, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , clause( 8181, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.82/2.25 ) ), 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8182, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.82/2.25 ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8183, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.82/2.25 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8184, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.82/2.25 ) ) ), 'c_in'( X, T, Z ) ] )
% 1.82/2.25 , clause( 8185, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.82/2.25 ) ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8186, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'(
% 1.82/2.25 Z ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8187, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.82/2.25 , clause( 8188, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 1.82/2.25 ] ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 0, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' )
% 1.82/2.25 ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , clause( 8170, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.82/2.25 'v_H' ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 1, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.82/2.25 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ), 'c_Message_Oparts'( 'v_H' ),
% 1.82/2.25 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 8171, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X'
% 1.82/2.25 , 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ), 'c_Message_Oparts'( 'v_H' ),
% 1.82/2.25 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 4, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 1.82/2.25 'c_Message_Oparts'( X ) ) ] )
% 1.82/2.25 , clause( 8174, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 1.82/2.25 'c_Message_Oparts'( X ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 5, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'(
% 1.82/2.25 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X,
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8175, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.82/2.25 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.82/2.25 ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.82/2.25 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 6, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8176, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.82/2.25 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8197, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'(
% 1.82/2.25 X ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ) )
% 1.82/2.25 ] )
% 1.82/2.25 , clause( 8177, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ),
% 1.82/2.25 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ),
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 7, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X )
% 1.82/2.25 , 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , clause( 8197, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'(
% 1.82/2.25 X ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ) )
% 1.82/2.25 ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 8, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X )
% 1.82/2.25 ] )
% 1.82/2.25 , clause( 8178, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 1.82/2.25 , X ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.82/2.25 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 9, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , clause( 8179, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 10, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , clause( 8180, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 11, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) )
% 1.82/2.25 , 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8181, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.82/2.25 ) ), 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 12, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) )
% 1.82/2.25 , 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8182, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.82/2.25 ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 13, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 1.82/2.25 T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y,
% 1.82/2.25 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8183, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.82/2.25 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 14, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) )
% 1.82/2.25 ), 'c_in'( X, T, Z ) ] )
% 1.82/2.25 , clause( 8184, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.82/2.25 ) ) ), 'c_in'( X, T, Z ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 15, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) )
% 1.82/2.25 ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8185, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.82/2.25 ) ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 16, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z
% 1.82/2.25 ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8186, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'(
% 1.82/2.25 Z ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 17, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 1.82/2.25 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.82/2.25 , clause( 8187, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 18, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 1.82/2.25 , clause( 8188, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8258, [ 'c_lessequals'( Y, Y, 'tc_set'( X ) ) ] )
% 1.82/2.25 , clause( 8, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, clause( 18, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, 'tc_set'( X ) ), :=( Y, Y )] ),
% 1.82/2.25 substitution( 1, [ :=( X, X )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , clause( 8258, [ 'c_lessequals'( Y, Y, 'tc_set'( X ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.82/2.25 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8260, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 'c_union'(
% 1.82/2.25 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , clause( 7, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X
% 1.82/2.25 ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ) )
% 1.82/2.25 ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 paramod(
% 1.82/2.25 clause( 8261, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ) ), 'c_union'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 4, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 1.82/2.25 'c_Message_Oparts'( X ) ) ] )
% 1.82/2.25 , 0, clause( 8260, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ),
% 1.82/2.25 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ),
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.82/2.25 'c_Message_Oanalz'( X ) )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8262, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ) ) ] )
% 1.82/2.25 , clause( 8261, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ) ), 'c_union'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 21, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ) ) ] )
% 1.82/2.25 , clause( 8262, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8263, [ 'c_lessequals'( Y, 'c_insert'( X, Y, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , clause( 15, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z )
% 1.82/2.25 ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 1.82/2.25 'c_insert'( X, Y, Z ) )] ), substitution( 1, [ :=( X, 'c_insert'( X, Y, Z
% 1.82/2.25 ) ), :=( Y, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 27, [ 'c_lessequals'( X, 'c_insert'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , clause( 8263, [ 'c_lessequals'( Y, 'c_insert'( X, Y, Z ), 'tc_set'( Z ) )
% 1.82/2.25 ] )
% 1.82/2.25 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8264, [ 'c_lessequals'( X, 'c_Message_Oparts'( X ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 5, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.82/2.25 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 1.82/2.25 , 'c_Message_Oparts'( X ) ), :=( Y, 'tc_Message_Omsg' )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 51, [ 'c_lessequals'( X, 'c_Message_Oparts'( X ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8264, [ 'c_lessequals'( X, 'c_Message_Oparts'( X ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8265, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 1.82/2.25 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , clause( 14, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z )
% 1.82/2.25 ) ), 'c_in'( X, T, Z ) ] )
% 1.82/2.25 , 0, clause( 51, [ 'c_lessequals'( X, 'c_Message_Oparts'( X ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'tc_Message_Omsg' )
% 1.82/2.25 , :=( T, 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ) )] )
% 1.82/2.25 , substitution( 1, [ :=( X, 'c_insert'( X, Y, 'tc_Message_Omsg' ) )] )
% 1.82/2.25 ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 55, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 1.82/2.25 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , clause( 8265, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 1.82/2.25 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.82/2.25 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8266, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , clause( 11, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) )
% 1.82/2.25 ), 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 1.82/2.25 'c_union'( X, Y, Z ) )] ), substitution( 1, [ :=( X, 'c_union'( X, Y, Z )
% 1.82/2.25 ), :=( Y, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 104, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , clause( 8266, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) )
% 1.82/2.25 ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 paramod(
% 1.82/2.25 clause( 8268, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_union'(
% 1.82/2.25 X, Y, Z ), 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 9, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , 0, clause( 104, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 substitution( 1, [ :=( X, 'c_minus'( X, Y, 'tc_set'( Z ) ) ), :=( Y, Y )
% 1.82/2.25 , :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 111, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_union'(
% 1.82/2.25 X, Y, Z ), 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8268, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 1.82/2.25 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 paramod(
% 1.82/2.25 clause( 8270, [ 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 21, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ) ) ] )
% 1.82/2.25 , 0, clause( 104, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.82/2.25 'c_Message_Oparts'( X ) ), :=( Y, 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.82/2.25 X ) ) ), :=( Z, 'tc_Message_Omsg' )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 112, [ 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8270, [ 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8271, [ 'c_lessequals'( Y, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , clause( 12, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) )
% 1.82/2.25 ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 1.82/2.25 'c_union'( X, Y, Z ) )] ), substitution( 1, [ :=( X, 'c_union'( X, Y, Z )
% 1.82/2.25 ), :=( Y, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 150, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , clause( 8271, [ 'c_lessequals'( Y, 'c_union'( X, Y, Z ), 'tc_set'( Z ) )
% 1.82/2.25 ] )
% 1.82/2.25 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8272, [ ~( 'c_lessequals'( Z, X, 'tc_set'( Y ) ) ), 'c_lessequals'(
% 1.82/2.25 'c_union'( Z, X, Y ), X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , clause( 13, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.82/2.25 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 1.82/2.25 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 200, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 1.82/2.25 'c_union'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8272, [ ~( 'c_lessequals'( Z, X, 'tc_set'( Y ) ) ),
% 1.82/2.25 'c_lessequals'( 'c_union'( Z, X, Y ), X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8275, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 1.82/2.25 'c_union'( Y, X, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 13, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.82/2.25 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 1, clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ),
% 1.82/2.25 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 201, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 1.82/2.25 'c_union'( Y, X, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8275, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( 'c_union'( Y, X, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 paramod(
% 1.82/2.25 clause( 8277, [ 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ),
% 1.82/2.25 ~( 'c_lessequals'( 'c_minus'( Y, X, 'tc_set'( Z ) ), T, 'tc_set'( Z ) ) )
% 1.82/2.25 , ~( 'c_lessequals'( X, T, 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , clause( 10, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.82/2.25 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , 0, clause( 13, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.82/2.25 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 2, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 substitution( 1, [ :=( X, 'c_minus'( Y, X, 'tc_set'( Z ) ) ), :=( Y, T )
% 1.82/2.25 , :=( Z, Z ), :=( T, X )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 202, [ ~( 'c_lessequals'( 'c_minus'( Y, X, 'tc_set'( Z ) ), T,
% 1.82/2.25 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8277, [ 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) )
% 1.82/2.25 , ~( 'c_lessequals'( 'c_minus'( Y, X, 'tc_set'( Z ) ), T, 'tc_set'( Z ) )
% 1.82/2.25 ), ~( 'c_lessequals'( X, T, 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8279, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X, Y,
% 1.82/2.25 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( Z ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ), ~( 'c_in'( X, 'c_Message_Oparts'( Z ),
% 1.82/2.25 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( Y, 'c_Message_Oparts'( Z ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 6, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 0, clause( 16, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.82/2.25 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z
% 1.82/2.25 ) ) ] )
% 1.82/2.25 , 2, substitution( 0, [ :=( X, 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 1.82/2.25 :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, 'c_Message_Oparts'(
% 1.82/2.25 Z ) ), :=( Z, 'tc_Message_Omsg' ), :=( T, Y )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 222, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) )
% 1.82/2.25 , ~( 'c_lessequals'( Z, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 1.82/2.25 X, Z, 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8279, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X, Y,
% 1.82/2.25 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( Z ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ), ~( 'c_in'( X, 'c_Message_Oparts'( Z ),
% 1.82/2.25 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( Y, 'c_Message_Oparts'( Z ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8280, [ ~( 'c_in'( X, Y, Z ) ), 'c_lessequals'( 'c_insert'( X, Y, Z
% 1.82/2.25 ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 16, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'(
% 1.82/2.25 Z ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 1, clause( 20, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ),
% 1.82/2.25 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 231, [ ~( 'c_in'( X, Y, Z ) ), 'c_lessequals'( 'c_insert'( X, Y, Z
% 1.82/2.25 ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8280, [ ~( 'c_in'( X, Y, Z ) ), 'c_lessequals'( 'c_insert'( X, Y
% 1.82/2.25 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8281, [ 'c_lessequals'( X, 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 5, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.82/2.25 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, clause( 112, [ 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.82/2.25 'c_Message_Oparts'( 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 238, [ 'c_lessequals'( X, 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8281, [ 'c_lessequals'( X, 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8282, [ ~( 'c_lessequals'( Y, 'c_insert'( X, Y, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ), =( Y, 'c_insert'( X, Y, Z ) ), ~( 'c_in'( X, Y, Z ) ) ] )
% 1.82/2.25 , clause( 17, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.82/2.25 , 0, clause( 231, [ ~( 'c_in'( X, Y, Z ) ), 'c_lessequals'( 'c_insert'( X,
% 1.82/2.25 Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 1, substitution( 0, [ :=( X, 'c_insert'( X, Y, Z ) ), :=( Y, Y ), :=( Z,
% 1.82/2.25 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8284, [ =( X, 'c_insert'( Y, X, Z ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 1.82/2.25 , clause( 8282, [ ~( 'c_lessequals'( Y, 'c_insert'( X, Y, Z ), 'tc_set'( Z
% 1.82/2.25 ) ) ), =( Y, 'c_insert'( X, Y, Z ) ), ~( 'c_in'( X, Y, Z ) ) ] )
% 1.82/2.25 , 0, clause( 27, [ 'c_lessequals'( X, 'c_insert'( Y, X, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8285, [ =( 'c_insert'( Y, X, Z ), X ), ~( 'c_in'( Y, X, Z ) ) ] )
% 1.82/2.25 , clause( 8284, [ =( X, 'c_insert'( Y, X, Z ) ), ~( 'c_in'( Y, X, Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 2111, [ ~( 'c_in'( X, Y, Z ) ), =( 'c_insert'( X, Y, Z ), Y ) ] )
% 1.82/2.25 , clause( 8285, [ =( 'c_insert'( Y, X, Z ), X ), ~( 'c_in'( Y, X, Z ) ) ]
% 1.82/2.25 )
% 1.82/2.25 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 paramod(
% 1.82/2.25 clause( 8287, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 1.82/2.25 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 2111, [ ~( 'c_in'( X, Y, Z ) ), =( 'c_insert'( X, Y, Z ), Y ) ]
% 1.82/2.25 )
% 1.82/2.25 , 1, clause( 55, [ 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( X, Y,
% 1.82/2.25 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'tc_Message_Omsg'
% 1.82/2.25 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 2143, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 1.82/2.25 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , clause( 8287, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 1.82/2.25 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.82/2.25 ), ==>( 1, 1 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8288, [ 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , clause( 2143, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ),
% 1.82/2.25 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 1, clause( 0, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.82/2.25 'v_H' ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) )] ), substitution( 1, [] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 2214, [ 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , clause( 8288, [ 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8289, [ ~( 'c_lessequals'( Y, 'c_union'( X, Y, Z ), 'tc_set'( Z ) )
% 1.82/2.25 ), =( Y, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z )
% 1.82/2.25 ) ) ] )
% 1.82/2.25 , clause( 17, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.82/2.25 , 0, clause( 200, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( 'c_union'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 1, substitution( 0, [ :=( X, 'c_union'( X, Y, Z ) ), :=( Y, Y ), :=( Z, Z
% 1.82/2.25 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8291, [ =( X, 'c_union'( Y, X, Z ) ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , clause( 8289, [ ~( 'c_lessequals'( Y, 'c_union'( X, Y, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ), =( Y, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z
% 1.82/2.25 ) ) ) ] )
% 1.82/2.25 , 0, clause( 150, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8292, [ =( 'c_union'( Y, X, Z ), X ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , clause( 8291, [ =( X, 'c_union'( Y, X, Z ) ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 3720, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_union'( X
% 1.82/2.25 , Y, Z ), Y ) ] )
% 1.82/2.25 , clause( 8292, [ =( 'c_union'( Y, X, Z ), X ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8293, [ ~( 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) )
% 1.82/2.25 ), =( X, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( Y, X, 'tc_set'( Z )
% 1.82/2.25 ) ) ] )
% 1.82/2.25 , clause( 17, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.82/2.25 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.82/2.25 , 0, clause( 201, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( 'c_union'( Y, X, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 1, substitution( 0, [ :=( X, 'c_union'( X, Y, Z ) ), :=( Y, X ), :=( Z, Z
% 1.82/2.25 )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8295, [ =( X, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , clause( 8293, [ ~( 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ), =( X, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( Y, X, 'tc_set'( Z
% 1.82/2.25 ) ) ) ] )
% 1.82/2.25 , 0, clause( 104, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8296, [ =( 'c_union'( X, Y, Z ), X ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , clause( 8295, [ =( X, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 3910, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_union'( Y
% 1.82/2.25 , X, Z ), Y ) ] )
% 1.82/2.25 , clause( 8296, [ =( 'c_union'( X, Y, Z ), X ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8297, [ ~( 'c_lessequals'( Y, 'c_union'( X, Y, Z ), 'tc_set'( Z ) )
% 1.82/2.25 ), 'c_lessequals'( 'c_union'( Y, X, Z ), 'c_union'( X, Y, Z ), 'tc_set'(
% 1.82/2.25 Z ) ) ] )
% 1.82/2.25 , clause( 202, [ ~( 'c_lessequals'( 'c_minus'( Y, X, 'tc_set'( Z ) ), T,
% 1.82/2.25 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T, 'tc_set'( Z ) ) ),
% 1.82/2.25 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, clause( 111, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 1.82/2.25 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T,
% 1.82/2.25 'c_union'( X, Y, Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 1.82/2.25 :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8299, [ 'c_lessequals'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z )
% 1.82/2.25 , 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8297, [ ~( 'c_lessequals'( Y, 'c_union'( X, Y, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ), 'c_lessequals'( 'c_union'( Y, X, Z ), 'c_union'( X, Y, Z ),
% 1.82/2.25 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, clause( 150, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z )
% 1.82/2.25 ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 4006, [ 'c_lessequals'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z )
% 1.82/2.25 , 'tc_set'( Z ) ) ] )
% 1.82/2.25 , clause( 8299, [ 'c_lessequals'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z
% 1.82/2.25 ), 'tc_set'( Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8300, [ =( X, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , clause( 3910, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_union'(
% 1.82/2.25 Y, X, Z ), Y ) ] )
% 1.82/2.25 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8301, [ =( 'c_union'( X, Y, Z ), 'c_union'( 'c_union'( X, Y, Z ),
% 1.82/2.25 'c_union'( Y, X, Z ), Z ) ) ] )
% 1.82/2.25 , clause( 8300, [ =( X, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( Y, X,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , 1, clause( 4006, [ 'c_lessequals'( 'c_union'( X, Y, Z ), 'c_union'( Y, X
% 1.82/2.25 , Z ), 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, 'c_union'( X, Y, Z ) ), :=( Y, 'c_union'( Y
% 1.82/2.25 , X, Z ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ),
% 1.82/2.25 :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8302, [ =( 'c_union'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z ), Z
% 1.82/2.25 ), 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , clause( 8301, [ =( 'c_union'( X, Y, Z ), 'c_union'( 'c_union'( X, Y, Z )
% 1.82/2.25 , 'c_union'( Y, X, Z ), Z ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 4007, [ =( 'c_union'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z ), Z
% 1.82/2.25 ), 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , clause( 8302, [ =( 'c_union'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z )
% 1.82/2.25 , Z ), 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 eqswap(
% 1.82/2.25 clause( 8303, [ =( Y, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( X, Y,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , clause( 3720, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_union'(
% 1.82/2.25 X, Y, Z ), Y ) ] )
% 1.82/2.25 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8305, [ =( 'c_union'( X, Y, Z ), 'c_union'( 'c_union'( Y, X, Z ),
% 1.82/2.25 'c_union'( X, Y, Z ), Z ) ) ] )
% 1.82/2.25 , clause( 8303, [ =( Y, 'c_union'( X, Y, Z ) ), ~( 'c_lessequals'( X, Y,
% 1.82/2.25 'tc_set'( Z ) ) ) ] )
% 1.82/2.25 , 1, clause( 4006, [ 'c_lessequals'( 'c_union'( X, Y, Z ), 'c_union'( Y, X
% 1.82/2.25 , Z ), 'tc_set'( Z ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [ :=( X, 'c_union'( Y, X, Z ) ), :=( Y, 'c_union'( X
% 1.82/2.25 , Y, Z ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ),
% 1.82/2.25 :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 paramod(
% 1.82/2.25 clause( 8306, [ =( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z ) ) ] )
% 1.82/2.25 , clause( 4007, [ =( 'c_union'( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z )
% 1.82/2.25 , Z ), 'c_union'( X, Y, Z ) ) ] )
% 1.82/2.25 , 0, clause( 8305, [ =( 'c_union'( X, Y, Z ), 'c_union'( 'c_union'( Y, X, Z
% 1.82/2.25 ), 'c_union'( X, Y, Z ), Z ) ) ] )
% 1.82/2.25 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.82/2.25 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 4008, [ =( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z ) ) ] )
% 1.82/2.25 , clause( 8306, [ =( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z ) ) ] )
% 1.82/2.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.82/2.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 paramod(
% 1.82/2.25 clause( 8308, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.82/2.25 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( 'v_H' ),
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ), 'tc_Message_Omsg' ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 4008, [ =( 'c_union'( X, Y, Z ), 'c_union'( Y, X, Z ) ) ] )
% 1.82/2.25 , 0, clause( 1, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X'
% 1.82/2.25 , 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ), 'c_Message_Oparts'( 'v_H' ),
% 1.82/2.25 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , 0, 7, substitution( 0, [ :=( X, 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.82/2.25 'v_H' ) ) ), :=( Y, 'c_Message_Oparts'( 'v_H' ) ), :=( Z,
% 1.82/2.25 'tc_Message_Omsg' )] ), substitution( 1, [] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 paramod(
% 1.82/2.25 clause( 8310, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.82/2.25 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 21, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ), 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ) ) ] )
% 1.82/2.25 , 0, clause( 8308, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'(
% 1.82/2.25 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( 'v_H'
% 1.82/2.25 ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ), 'tc_Message_Omsg'
% 1.82/2.25 ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , 0, 7, substitution( 0, [ :=( X, 'v_H' )] ), substitution( 1, [] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 4015, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.82/2.25 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 8310, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X'
% 1.82/2.25 , 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8311, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'(
% 1.82/2.25 'v_H', 'c_Message_Oparts'( 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H'
% 1.82/2.25 ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 4015, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X'
% 1.82/2.25 , 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , 0, clause( 222, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ),
% 1.82/2.25 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( Z, 'c_Message_Oparts'( Y ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'(
% 1.82/2.25 'c_insert'( X, Z, 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( Y ),
% 1.82/2.25 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y,
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ) ), :=( Z, 'v_H' )] )
% 1.82/2.25 ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8312, [ ~( 'c_lessequals'( 'v_H', 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 8311, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_Message_Omsg' ) ), ~( 'c_lessequals'(
% 1.82/2.25 'v_H', 'c_Message_Oparts'( 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H'
% 1.82/2.25 ) ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , 0, clause( 2214, [ 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Message_Osynth'(
% 1.82/2.25 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_Message_Omsg' ) ] )
% 1.82/2.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 8163, [ ~( 'c_lessequals'( 'v_H', 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , clause( 8312, [ ~( 'c_lessequals'( 'v_H', 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 resolution(
% 1.82/2.25 clause( 8313, [] )
% 1.82/2.25 , clause( 8163, [ ~( 'c_lessequals'( 'v_H', 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_H' ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ) ] )
% 1.82/2.25 , 0, clause( 238, [ 'c_lessequals'( X, 'c_Message_Oparts'(
% 1.82/2.25 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ) ), 'tc_set'(
% 1.82/2.25 'tc_Message_Omsg' ) ) ] )
% 1.82/2.25 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_H' )] )).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 subsumption(
% 1.82/2.25 clause( 8168, [] )
% 1.82/2.25 , clause( 8313, [] )
% 1.82/2.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 end.
% 1.82/2.25
% 1.82/2.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.82/2.25
% 1.82/2.25 Memory use:
% 1.82/2.25
% 1.82/2.25 space for terms: 115589
% 1.82/2.25 space for clauses: 695506
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 clauses generated: 199786
% 1.82/2.25 clauses kept: 8169
% 1.82/2.25 clauses selected: 937
% 1.82/2.25 clauses deleted: 139
% 1.82/2.25 clauses inuse deleted: 51
% 1.82/2.25
% 1.82/2.25 subsentry: 43748
% 1.82/2.25 literals s-matched: 37555
% 1.82/2.25 literals matched: 37140
% 1.82/2.25 full subsumption: 1500
% 1.82/2.25
% 1.82/2.25 checksum: 1967013265
% 1.82/2.25
% 1.82/2.25
% 1.82/2.25 Bliksem ended
%------------------------------------------------------------------------------