TSTP Solution File: SWV261-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV261-2 : 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 16:23:20 EDT 2022
% Result : Unsatisfiable 1.00s 1.40s
% Output : Refutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV261-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 02:56:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.00/1.40 *** allocated 10000 integers for termspace/termends
% 1.00/1.40 *** allocated 10000 integers for clauses
% 1.00/1.40 *** allocated 10000 integers for justifications
% 1.00/1.40 Bliksem 1.12
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 Automatic Strategy Selection
% 1.00/1.40
% 1.00/1.40 Clauses:
% 1.00/1.40 [
% 1.00/1.40 [ 'c_in'( 'v_X', 'v_G', 'tc_Message_Omsg' ) ],
% 1.00/1.40 [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( 'v_G' ),
% 1.00/1.40 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_set'(
% 1.00/1.40 'tc_Message_Omsg' ) ) ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg'
% 1.00/1.40 ) ), 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.00/1.40 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.00/1.40 [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.00/1.40 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.00/1.40 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.00/1.40 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.00/1.40 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.00/1.40 ) ],
% 1.00/1.40 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.00/1.40 , 'tc_set'( Z ) ) ],
% 1.00/1.40 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 1.00/1.40 X, Y, 'tc_set'( Z ) ) ],
% 1.00/1.40 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, X,
% 1.00/1.40 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ]
% 1.00/1.40 ] .
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 percentage equality = 0.052632, percentage horn = 0.800000
% 1.00/1.40 This is a problem with some equality
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 Options Used:
% 1.00/1.40
% 1.00/1.40 useres = 1
% 1.00/1.40 useparamod = 1
% 1.00/1.40 useeqrefl = 1
% 1.00/1.40 useeqfact = 1
% 1.00/1.40 usefactor = 1
% 1.00/1.40 usesimpsplitting = 0
% 1.00/1.40 usesimpdemod = 5
% 1.00/1.40 usesimpres = 3
% 1.00/1.40
% 1.00/1.40 resimpinuse = 1000
% 1.00/1.40 resimpclauses = 20000
% 1.00/1.40 substype = eqrewr
% 1.00/1.40 backwardsubs = 1
% 1.00/1.40 selectoldest = 5
% 1.00/1.40
% 1.00/1.40 litorderings [0] = split
% 1.00/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.40
% 1.00/1.40 termordering = kbo
% 1.00/1.40
% 1.00/1.40 litapriori = 0
% 1.00/1.40 termapriori = 1
% 1.00/1.40 litaposteriori = 0
% 1.00/1.40 termaposteriori = 0
% 1.00/1.40 demodaposteriori = 0
% 1.00/1.40 ordereqreflfact = 0
% 1.00/1.40
% 1.00/1.40 litselect = negord
% 1.00/1.40
% 1.00/1.40 maxweight = 15
% 1.00/1.40 maxdepth = 30000
% 1.00/1.40 maxlength = 115
% 1.00/1.40 maxnrvars = 195
% 1.00/1.40 excuselevel = 1
% 1.00/1.40 increasemaxweight = 1
% 1.00/1.40
% 1.00/1.40 maxselected = 10000000
% 1.00/1.40 maxnrclauses = 10000000
% 1.00/1.40
% 1.00/1.40 showgenerated = 0
% 1.00/1.40 showkept = 0
% 1.00/1.40 showselected = 0
% 1.00/1.40 showdeleted = 0
% 1.00/1.40 showresimp = 1
% 1.00/1.40 showstatus = 2000
% 1.00/1.40
% 1.00/1.40 prologoutput = 1
% 1.00/1.40 nrgoals = 5000000
% 1.00/1.40 totalproof = 1
% 1.00/1.40
% 1.00/1.40 Symbols occurring in the translation:
% 1.00/1.40
% 1.00/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.40 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 1.00/1.40 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 1.00/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.40 'v_X' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.00/1.40 'v_G' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.00/1.40 'tc_Message_Omsg' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.00/1.40 'c_in' [42, 3] (w:1, o:54, a:1, s:1, b:0),
% 1.00/1.40 'v_H' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.00/1.40 'c_insert' [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 1.00/1.40 'c_Message_Oparts' [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.00/1.40 'c_union' [46, 3] (w:1, o:56, a:1, s:1, b:0),
% 1.00/1.40 'tc_set' [47, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.00/1.40 'c_lessequals' [48, 3] (w:1, o:57, a:1, s:1, b:0),
% 1.00/1.40 'c_Main_OsubsetI__1' [57, 3] (w:1, o:58, a:1, s:1, b:0).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 Starting Search:
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 Bliksems!, er is een bewijs:
% 1.00/1.40 % SZS status Unsatisfiable
% 1.00/1.40 % SZS output start Refutation
% 1.00/1.40
% 1.00/1.40 clause( 0, [ 'c_in'( 'v_X', 'v_G', 'tc_Message_Omsg' ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 1, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( 'v_G' ),
% 1.00/1.40 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_set'(
% 1.00/1.40 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 2, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_union'( X, Y,
% 1.00/1.40 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( X ),
% 1.00/1.40 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg'
% 1.00/1.40 ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 3, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.00/1.40 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 4, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 1.00/1.40 )
% 1.00/1.40 .
% 1.00/1.40 clause( 5, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ]
% 1.00/1.40 )
% 1.00/1.40 .
% 1.00/1.40 clause( 6, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 1.00/1.40 , =( X, Y ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 7, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 8, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 9, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 1.00/1.40 T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 29, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ), ~(
% 1.00/1.40 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 30, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ), ~(
% 1.00/1.40 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 40, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ),
% 1.00/1.40 Y, Z ), =( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X ),
% 1.00/1.40 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 124, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( 'c_union'( Y, Z,
% 1.00/1.40 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'(
% 1.00/1.40 X, 'c_union'( 'c_Message_Oparts'( Y ), 'c_Message_Oparts'( Z ),
% 1.00/1.40 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 367, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_union'( 'v_G', 'v_H'
% 1.00/1.40 , 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 370, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 371, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 372, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_H', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 373, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_X' ) ] )
% 1.00/1.40 .
% 1.00/1.40 clause( 375, [] )
% 1.00/1.40 .
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 % SZS output end Refutation
% 1.00/1.40 found a proof!
% 1.00/1.40
% 1.00/1.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.00/1.40
% 1.00/1.40 initialclauses(
% 1.00/1.40 [ clause( 377, [ 'c_in'( 'v_X', 'v_G', 'tc_Message_Omsg' ) ] )
% 1.00/1.40 , clause( 378, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( 'v_G' ),
% 1.00/1.40 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_set'(
% 1.00/1.40 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , clause( 379, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_union'( X, Y,
% 1.00/1.40 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( X ),
% 1.00/1.40 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg'
% 1.00/1.40 ) ) ] )
% 1.00/1.40 , clause( 380, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) )
% 1.00/1.40 , 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 381, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 1.00/1.40 ) ] )
% 1.00/1.40 , clause( 382, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 1.00/1.40 ) ] )
% 1.00/1.40 , clause( 383, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 1.00/1.40 T ), =( X, Y ) ] )
% 1.00/1.40 , clause( 384, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 385, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 386, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.00/1.40 'c_lessequals'( T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'(
% 1.00/1.40 Z ) ) ] )
% 1.00/1.40 ] ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 0, [ 'c_in'( 'v_X', 'v_G', 'tc_Message_Omsg' ) ] )
% 1.00/1.40 , clause( 377, [ 'c_in'( 'v_X', 'v_G', 'tc_Message_Omsg' ) ] )
% 1.00/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 1, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( 'v_G' ),
% 1.00/1.40 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_set'(
% 1.00/1.40 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , clause( 378, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( 'v_G' ),
% 1.00/1.40 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_set'(
% 1.00/1.40 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 2, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_union'( X, Y,
% 1.00/1.40 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( X ),
% 1.00/1.40 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg'
% 1.00/1.40 ) ) ] )
% 1.00/1.40 , clause( 379, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_union'( X, Y,
% 1.00/1.40 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( X ),
% 1.00/1.40 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg'
% 1.00/1.40 ) ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.40 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 3, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.00/1.40 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 380, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) )
% 1.00/1.40 , 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.40 ), ==>( 1, 1 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 4, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 1.00/1.40 )
% 1.00/1.40 , clause( 381, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 1.00/1.40 ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 5, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ]
% 1.00/1.40 )
% 1.00/1.40 , clause( 382, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 1.00/1.40 ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 6, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 1.00/1.40 , =( X, Y ) ] )
% 1.00/1.40 , clause( 383, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 1.00/1.40 T ), =( X, Y ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 7, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 384, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 8, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 385, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 9, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 1.00/1.40 T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 386, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.00/1.40 'c_lessequals'( T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'(
% 1.00/1.40 Z ) ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 392, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.00/1.40 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) ) ]
% 1.00/1.40 )
% 1.00/1.40 , clause( 8, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , 0, clause( 4, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ),
% 1.00/1.40 Z ) ] )
% 1.00/1.40 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_union'( Y, Z, T ) ), :=( Z, T
% 1.00/1.40 )] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z
% 1.00/1.40 , T ), T ) ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 29, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ), ~(
% 1.00/1.40 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) ) ] )
% 1.00/1.40 , clause( 392, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.00/1.40 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) ) ]
% 1.00/1.40 )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 393, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.00/1.40 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ]
% 1.00/1.40 )
% 1.00/1.40 , clause( 8, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , 0, clause( 5, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 1.00/1.40 Z ) ] )
% 1.00/1.40 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_union'( Y, Z, T ) ), :=( Z, T
% 1.00/1.40 )] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z
% 1.00/1.40 , T ), T ) ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 30, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ), ~(
% 1.00/1.40 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ] )
% 1.00/1.40 , clause( 393, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.00/1.40 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ]
% 1.00/1.40 )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 eqswap(
% 1.00/1.40 clause( 394, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ),
% 1.00/1.40 'c_in'( X, Z, T ) ] )
% 1.00/1.40 , clause( 6, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 1.00/1.40 ), =( X, Y ) ] )
% 1.00/1.40 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.00/1.40 ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 395, [ =( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ) )
% 1.00/1.40 , 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ),
% 1.00/1.40 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 394, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ),
% 1.00/1.40 'c_in'( X, Z, T ) ] )
% 1.00/1.40 , 1, clause( 7, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z )
% 1.00/1.40 , T, Z ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ), substitution( 1, [
% 1.00/1.40 :=( X, 'c_insert'( X, Y, Z ) ), :=( Y, T ), :=( Z, Z )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 eqswap(
% 1.00/1.40 clause( 396, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X )
% 1.00/1.40 , 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ),
% 1.00/1.40 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 395, [ =( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z )
% 1.00/1.40 ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ),
% 1.00/1.40 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.00/1.40 ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 40, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ),
% 1.00/1.40 Y, Z ), =( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X ),
% 1.00/1.40 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 396, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X
% 1.00/1.40 ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ),
% 1.00/1.40 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 397, [ ~( 'c_lessequals'( Z, 'c_Message_Oparts'( 'c_union'( X, Y,
% 1.00/1.40 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'(
% 1.00/1.40 Z, 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.00/1.40 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 9, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.00/1.40 'c_lessequals'( T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'(
% 1.00/1.40 Z ) ) ] )
% 1.00/1.40 , 0, clause( 2, [ 'c_lessequals'( 'c_Message_Oparts'( 'c_union'( X, Y,
% 1.00/1.40 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( X ),
% 1.00/1.40 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg'
% 1.00/1.40 ) ) ] )
% 1.00/1.40 , 0, substitution( 0, [ :=( X, 'c_Message_Oparts'( 'c_union'( X, Y,
% 1.00/1.40 'tc_Message_Omsg' ) ) ), :=( Y, 'c_union'( 'c_Message_Oparts'( X ),
% 1.00/1.40 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ), :=( Z, 'tc_Message_Omsg'
% 1.00/1.40 ), :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 124, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( 'c_union'( Y, Z,
% 1.00/1.40 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'(
% 1.00/1.40 X, 'c_union'( 'c_Message_Oparts'( Y ), 'c_Message_Oparts'( Z ),
% 1.00/1.40 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 397, [ ~( 'c_lessequals'( Z, 'c_Message_Oparts'( 'c_union'( X, Y
% 1.00/1.40 , 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.00/1.40 'c_lessequals'( Z, 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'(
% 1.00/1.40 Y ), 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.00/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 399, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_union'( 'v_G', 'v_H'
% 1.00/1.40 , 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , clause( 1, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( 'v_G' ),
% 1.00/1.40 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_set'(
% 1.00/1.40 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , 0, clause( 124, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( 'c_union'( Y
% 1.00/1.40 , Z, 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.00/1.40 'c_lessequals'( X, 'c_union'( 'c_Message_Oparts'( Y ), 'c_Message_Oparts'(
% 1.00/1.40 Z ), 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_Oparts'(
% 1.00/1.40 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ) ), :=( Y, 'v_G' ), :=( Z
% 1.00/1.40 , 'v_H' )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 367, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_union'( 'v_G', 'v_H'
% 1.00/1.40 , 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , clause( 399, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_union'( 'v_G', 'v_H'
% 1.00/1.40 , 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 400, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , clause( 367, [ ~( 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_union'( 'v_G', 'v_H'
% 1.00/1.40 , 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , 0, clause( 3, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) )
% 1.00/1.40 ), 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), :=( Y, 'c_union'( 'v_G', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ) )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 370, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , clause( 400, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 401, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 370, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , 0, clause( 30, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) )
% 1.00/1.40 , ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) )
% 1.00/1.40 ] )
% 1.00/1.40 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), :=( Y, 'v_G' ), :=( Z, 'v_H' ), :=( T,
% 1.00/1.40 'tc_Message_Omsg' )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 371, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 401, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H'
% 1.00/1.40 , 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 402, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_H', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 370, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , 0, clause( 29, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) )
% 1.00/1.40 , ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) )
% 1.00/1.40 ] )
% 1.00/1.40 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ) ), :=( Y, 'v_G' ), :=( Z, 'v_H' ), :=( T,
% 1.00/1.40 'tc_Message_Omsg' )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 372, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_H', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 402, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H'
% 1.00/1.40 , 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_H', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 eqswap(
% 1.00/1.40 clause( 403, [ =( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ) )
% 1.00/1.40 , 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ),
% 1.00/1.40 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , clause( 40, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z )
% 1.00/1.40 , Y, Z ), =( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X ),
% 1.00/1.40 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.00/1.40 ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 404, [ =( 'v_X', 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ) ), 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 372, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H'
% 1.00/1.40 , 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_H', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , 0, clause( 403, [ =( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z
% 1.00/1.40 ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z )
% 1.00/1.40 , 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 1.00/1.40 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, 'v_H'
% 1.00/1.40 ), :=( Z, 'tc_Message_Omsg' ), :=( T, 'c_union'( 'v_G', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ) )] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 405, [ =( 'v_X', 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 370, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.00/1.40 , 0, clause( 404, [ =( 'v_X', 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' )
% 1.00/1.40 , 'tc_Message_Omsg' ) ), 'c_lessequals'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 eqswap(
% 1.00/1.40 clause( 406, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_X' ) ] )
% 1.00/1.40 , clause( 405, [ =( 'v_X', 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , 0, substitution( 0, [] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 373, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_X' ) ] )
% 1.00/1.40 , clause( 406, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_X' ) ] )
% 1.00/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 paramod(
% 1.00/1.40 clause( 408, [ ~( 'c_in'( 'v_X', 'v_G', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , clause( 373, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 'v_H',
% 1.00/1.40 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ),
% 1.00/1.40 'tc_Message_Omsg' ), 'v_X' ) ] )
% 1.00/1.40 , 0, clause( 371, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X',
% 1.00/1.40 'v_H', 'tc_Message_Omsg' ), 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' )
% 1.00/1.40 , 'tc_Message_Omsg' ), 'v_G', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 resolution(
% 1.00/1.40 clause( 409, [] )
% 1.00/1.40 , clause( 408, [ ~( 'c_in'( 'v_X', 'v_G', 'tc_Message_Omsg' ) ) ] )
% 1.00/1.40 , 0, clause( 0, [ 'c_in'( 'v_X', 'v_G', 'tc_Message_Omsg' ) ] )
% 1.00/1.40 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 subsumption(
% 1.00/1.40 clause( 375, [] )
% 1.00/1.40 , clause( 409, [] )
% 1.00/1.40 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 end.
% 1.00/1.40
% 1.00/1.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.00/1.40
% 1.00/1.40 Memory use:
% 1.00/1.40
% 1.00/1.40 space for terms: 6467
% 1.00/1.40 space for clauses: 28781
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 clauses generated: 74331
% 1.00/1.40 clauses kept: 376
% 1.00/1.40 clauses selected: 363
% 1.00/1.40 clauses deleted: 1
% 1.00/1.40 clauses inuse deleted: 0
% 1.00/1.40
% 1.00/1.40 subsentry: 2325
% 1.00/1.40 literals s-matched: 1448
% 1.00/1.40 literals matched: 1433
% 1.00/1.40 full subsumption: 53
% 1.00/1.40
% 1.00/1.40 checksum: -1603963400
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 Bliksem ended
%------------------------------------------------------------------------------