%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV248-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 16:23:10 EDT 2022
% Result : Unsatisfiable 1.29s 1.75s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV248-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.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 : Thu Jun 16 01:50:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.29/1.75 *** allocated 10000 integers for termspace/termends
% 1.29/1.75 *** allocated 10000 integers for clauses
% 1.29/1.75 *** allocated 10000 integers for justifications
% 1.29/1.75 Bliksem 1.12
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 Automatic Strategy Selection
% 1.29/1.75
% 1.29/1.75 Clauses:
% 1.29/1.75 [
% 1.29/1.75 [ ~( 'c_lessequals'( 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) )
% 1.29/1.75 ],
% 1.29/1.75 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'(
% 1.29/1.75 Y ), 'tc_Message_Omsg' ) ],
% 1.29/1.75 [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.29/1.75 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ),
% 1.29/1.75 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.29/1.75 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'(
% 1.29/1.75 Y ), 'tc_Message_Omsg' ) ],
% 1.29/1.75 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.29/1.75 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.29/1.75 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y,
% 1.29/1.75 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.29/1.75 ) ],
% 1.29/1.75 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.29/1.75 , 'tc_set'( Z ) ) ],
% 1.29/1.75 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 1.29/1.75 X, Y, 'tc_set'( Z ) ) ]
% 1.29/1.75 ] .
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 percentage equality = 0.000000, percentage horn = 0.888889
% 1.29/1.75 This a non-horn, non-equality problem
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 Options Used:
% 1.29/1.75
% 1.29/1.75 useres = 1
% 1.29/1.75 useparamod = 0
% 1.29/1.75 useeqrefl = 0
% 1.29/1.75 useeqfact = 0
% 1.29/1.75 usefactor = 1
% 1.29/1.75 usesimpsplitting = 0
% 1.29/1.75 usesimpdemod = 0
% 1.29/1.75 usesimpres = 3
% 1.29/1.75
% 1.29/1.75 resimpinuse = 1000
% 1.29/1.75 resimpclauses = 20000
% 1.29/1.75 substype = standard
% 1.29/1.75 backwardsubs = 1
% 1.29/1.75 selectoldest = 5
% 1.29/1.75
% 1.29/1.75 litorderings [0] = split
% 1.29/1.75 litorderings [1] = liftord
% 1.29/1.75
% 1.29/1.75 termordering = none
% 1.29/1.75
% 1.29/1.75 litapriori = 1
% 1.29/1.75 termapriori = 0
% 1.29/1.75 litaposteriori = 0
% 1.29/1.75 termaposteriori = 0
% 1.29/1.75 demodaposteriori = 0
% 1.29/1.75 ordereqreflfact = 0
% 1.29/1.75
% 1.29/1.75 litselect = none
% 1.29/1.75
% 1.29/1.75 maxweight = 15
% 1.29/1.75 maxdepth = 30000
% 1.29/1.75 maxlength = 115
% 1.29/1.75 maxnrvars = 195
% 1.29/1.75 excuselevel = 1
% 1.29/1.75 increasemaxweight = 1
% 1.29/1.75
% 1.29/1.75 maxselected = 10000000
% 1.29/1.75 maxnrclauses = 10000000
% 1.29/1.75
% 1.29/1.75 showgenerated = 0
% 1.29/1.75 showkept = 0
% 1.29/1.75 showselected = 0
% 1.29/1.75 showdeleted = 0
% 1.29/1.75 showresimp = 1
% 1.29/1.75 showstatus = 2000
% 1.29/1.75
% 1.29/1.75 prologoutput = 1
% 1.29/1.75 nrgoals = 5000000
% 1.29/1.75 totalproof = 1
% 1.29/1.75
% 1.29/1.75 Symbols occurring in the translation:
% 1.29/1.75
% 1.29/1.75 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.29/1.75 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 1.29/1.75 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 1.29/1.75 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.29/1.75 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.29/1.75 'v_G' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.29/1.75 'v_H' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.29/1.75 'tc_Message_Omsg' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.29/1.75 'c_union' [42, 3] (w:1, o:53, a:1, s:1, b:0),
% 1.29/1.75 'c_Message_Oanalz' [43, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.29/1.75 'c_Message_Osynth' [44, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.29/1.75 'tc_set' [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.29/1.75 'c_lessequals' [46, 3] (w:1, o:54, a:1, s:1, b:0),
% 1.29/1.75 'c_in' [49, 3] (w:1, o:55, a:1, s:1, b:0),
% 1.29/1.75 'c_Main_OsubsetI__1' [56, 3] (w:1, o:56, a:1, s:1, b:0).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 Starting Search:
% 1.29/1.75
% 1.29/1.75 Resimplifying inuse:
% 1.29/1.75 Done
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 Bliksems!, er is een bewijs:
% 1.29/1.75 % SZS status Unsatisfiable
% 1.29/1.75 % SZS output start Refutation
% 1.29/1.75
% 1.29/1.75 clause( 0, [ ~( 'c_lessequals'( 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) )
% 1.29/1.75 ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 1, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 1.29/1.75 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 2, [ 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y
% 1.29/1.75 ), 'tc_set'( 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ), ~(
% 1.29/1.75 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 4, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 1.29/1.75 )
% 1.29/1.75 .
% 1.29/1.75 clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 1.29/1.75 )
% 1.29/1.75 .
% 1.29/1.75 clause( 6, [ ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 1.29/1.75 'c_union'( T, X, Z ), Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( X, Y,
% 1.29/1.75 'tc_set'( Z ) ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 7, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 8, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 142, [ ~( 'c_lessequals'( Z, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.29/1.75 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( X, Z, 'tc_Message_Omsg' )
% 1.29/1.75 ), 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ), ~(
% 1.29/1.75 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 144, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ), ~( 'c_lessequals'( 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 'v_G' ), 'v_H',
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 202, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.29/1.75 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) ) ]
% 1.29/1.75 )
% 1.29/1.75 .
% 1.29/1.75 clause( 203, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.29/1.75 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ]
% 1.29/1.75 )
% 1.29/1.75 .
% 1.29/1.75 clause( 204, [ 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X,
% 1.29/1.75 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), Y, 'tc_Message_Omsg' ) ) ]
% 1.29/1.75 )
% 1.29/1.75 .
% 1.29/1.75 clause( 216, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( X, T, Z ), Z ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 222, [ 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ),
% 1.29/1.75 'c_in'( 'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' ),
% 1.29/1.75 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 780, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 1.29/1.75 )
% 1.29/1.75 .
% 1.29/1.75 clause( 801, [ 'c_lessequals'( X, 'c_union'( 'c_Message_Osynth'( X ), Y,
% 1.29/1.75 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 976, [ 'c_lessequals'( X, 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 982, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 .
% 1.29/1.75 clause( 1058, [ ~( 'c_lessequals'( 'v_G', 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ]
% 1.29/1.75 )
% 1.29/1.75 .
% 1.29/1.75 clause( 1060, [] )
% 1.29/1.75 .
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 % SZS output end Refutation
% 1.29/1.75 found a proof!
% 1.29/1.75
% 1.29/1.75 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.29/1.75
% 1.29/1.75 initialclauses(
% 1.29/1.75 [ clause( 1062, [ ~( 'c_lessequals'( 'c_union'( 'c_Message_Oanalz'(
% 1.29/1.75 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G'
% 1.29/1.75 ), 'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 1063, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.29/1.75 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 1.29/1.75 , clause( 1064, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) )
% 1.29/1.75 ), 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ),
% 1.29/1.75 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 1065, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.29/1.75 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 1.29/1.75 , clause( 1066, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ),
% 1.29/1.75 Z ) ] )
% 1.29/1.75 , clause( 1067, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 1.29/1.75 Z ) ] )
% 1.29/1.75 , clause( 1068, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.29/1.75 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.29/1.75 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.29/1.75 , clause( 1069, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.29/1.75 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.29/1.75 , clause( 1070, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.29/1.75 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.29/1.75 ] ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 0, [ ~( 'c_lessequals'( 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) )
% 1.29/1.75 ] )
% 1.29/1.75 , clause( 1062, [ ~( 'c_lessequals'( 'c_union'( 'c_Message_Oanalz'(
% 1.29/1.75 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G'
% 1.29/1.75 ), 'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 1, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 1.29/1.75 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 1063, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.29/1.75 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.29/1.75 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 2, [ 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y
% 1.29/1.75 ), 'tc_set'( 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 1064, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) )
% 1.29/1.75 ), 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ),
% 1.29/1.75 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.29/1.75 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ), ~(
% 1.29/1.75 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 1065, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.29/1.75 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.29/1.75 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 4, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1066, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ),
% 1.29/1.75 Z ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1067, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 1.29/1.75 Z ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 6, [ ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 1.29/1.75 'c_union'( T, X, Z ), Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( X, Y,
% 1.29/1.75 'tc_set'( Z ) ) ) ] )
% 1.29/1.75 , clause( 1068, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.29/1.75 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.29/1.75 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 7, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 1.29/1.75 , clause( 1069, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.29/1.75 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 8, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 1.29/1.75 , clause( 1070, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.29/1.75 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1076, [ 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( Z ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( X, Z, 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 2, [ 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'(
% 1.29/1.75 Y ), 'tc_set'( 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , 1, clause( 6, [ ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.29/1.75 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z ) ), ~(
% 1.29/1.75 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ) ] )
% 1.29/1.75 , 1, substitution( 0, [ :=( X, 'c_union'( X, Y, 'tc_Message_Omsg' ) ), :=(
% 1.29/1.75 Y, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z,
% 1.29/1.75 'tc_Message_Omsg' ), :=( T, X )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 142, [ ~( 'c_lessequals'( Z, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.29/1.75 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( X, Z, 'tc_Message_Omsg' )
% 1.29/1.75 ), 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ), ~(
% 1.29/1.75 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 1076, [ 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( Z ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( X, Z, 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1078, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ), ~( 'c_lessequals'( 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 'v_G' ), 'v_H',
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 0, [ ~( 'c_lessequals'( 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) )
% 1.29/1.75 ] )
% 1.29/1.75 , 0, clause( 6, [ ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.29/1.75 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z ) ), ~(
% 1.29/1.75 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ) ] )
% 1.29/1.75 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ) ), :=( Y, 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ) ), :=( Z, 'tc_Message_Omsg' ), :=(
% 1.29/1.75 T, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) )] )
% 1.29/1.75 ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 144, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ), ~( 'c_lessequals'( 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 'v_G' ), 'v_H',
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 1078, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ), ~( 'c_lessequals'( 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 'v_G' ), 'v_H',
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.29/1.75 ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1079, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.29/1.75 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 8, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 1.29/1.75 , 1, clause( 4, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z
% 1.29/1.75 ) ) ] )
% 1.29/1.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_union'( Y, Z, T ) ), :=( Z, T
% 1.29/1.75 )] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z
% 1.29/1.75 , T ), T ) ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 202, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.29/1.75 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1079, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) )
% 1.29/1.75 , ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) )
% 1.29/1.75 ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1080, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.29/1.75 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 8, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 1.29/1.75 , 1, clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z
% 1.29/1.75 ) ) ] )
% 1.29/1.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_union'( Y, Z, T ) ), :=( Z, T
% 1.29/1.75 )] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z
% 1.29/1.75 , T ), T ) ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 203, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.29/1.75 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1080, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) )
% 1.29/1.75 , ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) )
% 1.29/1.75 ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1081, [ 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X,
% 1.29/1.75 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), Y, 'tc_Message_Omsg' ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 8, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 1.29/1.75 , 1, clause( 1, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 1.29/1.75 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Message_Oanalz'( Y ) ), :=( Z
% 1.29/1.75 , 'tc_Message_Omsg' )] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'(
% 1.29/1.75 X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), :=( Y, Y )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 204, [ 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X,
% 1.29/1.75 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), Y, 'tc_Message_Omsg' ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1081, [ 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X,
% 1.29/1.75 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), Y, 'tc_Message_Omsg' ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.29/1.75 ), ==>( 1, 1 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1082, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( X, T, Z
% 1.29/1.75 ), Z ), 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.29/1.75 , clause( 5, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) )
% 1.29/1.75 ] )
% 1.29/1.75 , 1, clause( 7, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 1.29/1.75 , 1, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, X
% 1.29/1.75 ), :=( Z, Z ), :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 1.29/1.75 , :=( Z, Z )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 216, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( X, T, Z ), Z ) ] )
% 1.29/1.75 , clause( 1082, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( X, T
% 1.29/1.75 , Z ), Z ), 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1083, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' ),
% 1.29/1.75 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ), 'c_lessequals'( X, Y,
% 1.29/1.75 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ), ~(
% 1.29/1.75 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , 1, clause( 7, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 1.29/1.75 , 1, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=(
% 1.29/1.75 Y, Y ), :=( Z, 'tc_Message_Omsg' )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 222, [ 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ),
% 1.29/1.75 'c_in'( 'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' ),
% 1.29/1.75 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ] )
% 1.29/1.75 , clause( 1083, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' ),
% 1.29/1.75 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ), 'c_lessequals'( X, Y,
% 1.29/1.75 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.29/1.75 ), ==>( 1, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1084, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ),
% 1.29/1.75 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ] )
% 1.29/1.75 , clause( 202, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.29/1.75 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Z, T ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , 1, clause( 7, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 1.29/1.75 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] ),
% 1.29/1.75 substitution( 1, [ :=( X, X ), :=( Y, 'c_union'( Y, X, Z ) ), :=( Z, Z )] )
% 1.29/1.75 ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 factor(
% 1.29/1.75 clause( 1085, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1084, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) )
% 1.29/1.75 , 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ] )
% 1.29/1.75 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 780, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1085, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) )
% 1.29/1.75 ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.29/1.75 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1086, [ 'c_lessequals'( X, 'c_union'( 'c_Message_Osynth'( X ), Y,
% 1.29/1.75 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ), 'c_lessequals'( X,
% 1.29/1.75 'c_union'( 'c_Message_Osynth'( X ), Y, 'tc_Message_Omsg' ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 203, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 1.29/1.75 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , 1, clause( 222, [ 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ),
% 1.29/1.75 'c_in'( 'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' ),
% 1.29/1.75 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ] )
% 1.29/1.75 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_Message_Osynth'( X ) ), :=( Z
% 1.29/1.75 , Y ), :=( T, 'tc_Message_Omsg' )] ), substitution( 1, [ :=( X, X ), :=(
% 1.29/1.75 Y, 'c_union'( 'c_Message_Osynth'( X ), Y, 'tc_Message_Omsg' ) )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 factor(
% 1.29/1.75 clause( 1087, [ 'c_lessequals'( X, 'c_union'( 'c_Message_Osynth'( X ), Y,
% 1.29/1.75 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 1086, [ 'c_lessequals'( X, 'c_union'( 'c_Message_Osynth'( X ), Y
% 1.29/1.75 , 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ), 'c_lessequals'( X
% 1.29/1.75 , 'c_union'( 'c_Message_Osynth'( X ), Y, 'tc_Message_Omsg' ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 801, [ 'c_lessequals'( X, 'c_union'( 'c_Message_Osynth'( X ), Y,
% 1.29/1.75 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 1087, [ 'c_lessequals'( X, 'c_union'( 'c_Message_Osynth'( X ), Y
% 1.29/1.75 , 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.29/1.75 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1088, [ 'c_lessequals'( X, 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ), 'c_lessequals'( X
% 1.29/1.75 , 'c_Message_Oanalz'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 204, [ 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X,
% 1.29/1.75 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), Y, 'tc_Message_Omsg' ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , 1, clause( 216, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 1.29/1.75 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( X, T, Z ), Z ) ] )
% 1.29/1.75 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 1.29/1.75 'c_Message_Oanalz'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ) ), :=( Z,
% 1.29/1.75 'tc_Message_Omsg' ), :=( T, Y )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 factor(
% 1.29/1.75 clause( 1089, [ 'c_lessequals'( X, 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 1088, [ 'c_lessequals'( X, 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ), 'c_lessequals'( X
% 1.29/1.75 , 'c_Message_Oanalz'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 976, [ 'c_lessequals'( X, 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , clause( 1089, [ 'c_lessequals'( X, 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.29/1.75 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1090, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 144, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ), ~( 'c_lessequals'( 'c_Message_Osynth'( 'v_G' ),
% 1.29/1.75 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 'v_G' ), 'v_H',
% 1.29/1.75 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , 1, clause( 976, [ 'c_lessequals'( X, 'c_Message_Oanalz'( 'c_union'( X, Y
% 1.29/1.75 , 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ) ), :=( Y, 'v_H' )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 982, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 1090, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1091, [ ~( 'c_lessequals'( 'v_H', 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.29/1.75 ~( 'c_lessequals'( 'v_G', 'c_union'( 'c_Message_Osynth'( 'v_G' ), 'v_H',
% 1.29/1.75 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , clause( 982, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 1.29/1.75 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'(
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , 0, clause( 142, [ ~( 'c_lessequals'( Z, Y, 'tc_set'( 'tc_Message_Omsg' )
% 1.29/1.75 ) ), 'c_lessequals'( 'c_Message_Oanalz'( 'c_union'( X, Z,
% 1.29/1.75 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 1.29/1.75 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_G' ), :=( Y,
% 1.29/1.75 'c_union'( 'c_Message_Osynth'( 'v_G' ), 'v_H', 'tc_Message_Omsg' ) ),
% 1.29/1.75 :=( Z, 'v_H' )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1092, [ ~( 'c_lessequals'( 'v_G', 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1091, [ ~( 'c_lessequals'( 'v_H', 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.29/1.75 ~( 'c_lessequals'( 'v_G', 'c_union'( 'c_Message_Osynth'( 'v_G' ), 'v_H',
% 1.29/1.75 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 1.29/1.75 , 0, clause( 780, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z )
% 1.29/1.75 ) ] )
% 1.29/1.75 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_H' ), :=( Y,
% 1.29/1.75 'c_Message_Osynth'( 'v_G' ) ), :=( Z, 'tc_Message_Omsg' )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 1058, [ ~( 'c_lessequals'( 'v_G', 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , clause( 1092, [ ~( 'c_lessequals'( 'v_G', 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 resolution(
% 1.29/1.75 clause( 1093, [] )
% 1.29/1.75 , clause( 1058, [ ~( 'c_lessequals'( 'v_G', 'c_union'( 'c_Message_Osynth'(
% 1.29/1.75 'v_G' ), 'v_H', 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ]
% 1.29/1.75 )
% 1.29/1.75 , 0, clause( 801, [ 'c_lessequals'( X, 'c_union'( 'c_Message_Osynth'( X ),
% 1.29/1.75 Y, 'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.29/1.75 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_G' ), :=( Y, 'v_H'
% 1.29/1.75 )] )).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 subsumption(
% 1.29/1.75 clause( 1060, [] )
% 1.29/1.75 , clause( 1093, [] )
% 1.29/1.75 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 end.
% 1.29/1.75
% 1.29/1.75 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.29/1.75
% 1.29/1.75 Memory use:
% 1.29/1.75
% 1.29/1.75 space for terms: 15329
% 1.29/1.75 space for clauses: 81379
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 clauses generated: 81258
% 1.29/1.75 clauses kept: 1061
% 1.29/1.75 clauses selected: 621
% 1.29/1.75 clauses deleted: 14
% 1.29/1.75 clauses inuse deleted: 3
% 1.29/1.75
% 1.29/1.75 subsentry: 14128
% 1.29/1.75 literals s-matched: 14104
% 1.29/1.75 literals matched: 14104
% 1.29/1.75 full subsumption: 19
% 1.29/1.75
% 1.29/1.75 checksum: -949437594
% 1.29/1.75
% 1.29/1.75
% 1.29/1.75 Bliksem ended
%------------------------------------------------------------------------------