TSTP Solution File: SWV245-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 16:23:08 EDT 2022
% Result : Unsatisfiable 0.71s 1.12s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 16 00:15:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12 [
% 0.71/1.12 [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'(
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 0.71/1.12 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 0.71/1.12 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ],
% 0.71/1.12 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 0.71/1.12 'tc_Message_Omsg' ) ],
% 0.71/1.12 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'(
% 0.71/1.12 Y ), 'tc_Message_Omsg' ) ],
% 0.71/1.12 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.71/1.12 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.71/1.12 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 0.71/1.12 X, Y, T ) ]
% 0.71/1.12 ] .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 percentage equality = 0.000000, percentage horn = 0.750000
% 0.71/1.12 This a non-horn, non-equality problem
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 0
% 0.71/1.12 useeqrefl = 0
% 0.71/1.12 useeqfact = 0
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 0
% 0.71/1.12 usesimpres = 3
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = standard
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = liftord
% 0.71/1.12
% 0.71/1.12 termordering = none
% 0.71/1.12
% 0.71/1.12 litapriori = 1
% 0.71/1.12 termapriori = 0
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = none
% 0.71/1.12
% 0.71/1.12 maxweight = 15
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 1
% 0.71/1.12 increasemaxweight = 1
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.12
% 0.71/1.12 showgenerated = 0
% 0.71/1.12 showkept = 0
% 0.71/1.12 showselected = 0
% 0.71/1.12 showdeleted = 0
% 0.71/1.12 showresimp = 1
% 0.71/1.12 showstatus = 2000
% 0.71/1.12
% 0.71/1.12 prologoutput = 1
% 0.71/1.12 nrgoals = 5000000
% 0.71/1.12 totalproof = 1
% 0.71/1.12
% 0.71/1.12 Symbols occurring in the translation:
% 0.71/1.12
% 0.71/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.12 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 'v_X' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.12 'v_Y' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.12 'c_Message_Omsg_OMPair' [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.12 'v_G' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.12 'v_H' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.12 'tc_Message_Omsg' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.12 'c_union' [45, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.71/1.12 'c_Message_Oanalz' [46, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.12 'c_Message_Osynth' [47, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.71/1.12 'c_in' [48, 3] (w:1, o:55, a:1, s:1, b:0).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Starting Search:
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksems!, er is een bewijs:
% 0.71/1.12 % SZS status Unsatisfiable
% 0.71/1.12 % SZS output start Refutation
% 0.71/1.12
% 0.71/1.12 clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'(
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 2, [ 'c_in'( X, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 4, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 5, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 7, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_union'(
% 0.71/1.12 Y, Z, T ), T ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 46, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), Y,
% 0.71/1.12 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 0.71/1.12 'tc_Message_Omsg' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 57, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 58, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H'
% 0.71/1.12 , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 61, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 82, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_G',
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 106, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 121, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 125, [] )
% 0.71/1.12 .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 % SZS output end Refutation
% 0.71/1.12 found a proof!
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 initialclauses(
% 0.71/1.12 [ clause( 127, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'(
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 128, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 129, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.71/1.12 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.71/1.12 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , clause( 130, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.71/1.12 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.71/1.12 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 0.71/1.12 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , clause( 131, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.71/1.12 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , clause( 132, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 133, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 134, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.71/1.12 ), 'c_in'( X, Y, T ) ] )
% 0.71/1.12 ] ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'(
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 127, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'(
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ]
% 0.71/1.12 )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 128, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 2, [ 'c_in'( X, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 129, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.71/1.12 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.71/1.12 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 130, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 0.71/1.12 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.71/1.12 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 0.71/1.12 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 4, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 131, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 0.71/1.12 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.12 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 5, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 132, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 0.71/1.12 ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 133, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 0.71/1.12 ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 7, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_union'(
% 0.71/1.12 Y, Z, T ), T ) ) ] )
% 0.71/1.12 , clause( 134, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.71/1.12 ), 'c_in'( X, Y, T ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 136, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), Y, 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 2, [ 'c_in'( X, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 1, clause( 4, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 0.71/1.12 ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.12 substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X, Z ) ), :=( Y, Y )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 46, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), Y,
% 0.71/1.12 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 0.71/1.12 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , clause( 136, [ 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ),
% 0.71/1.12 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), Y, 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 137, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 5, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y,
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ) ), :=( Z, 'tc_Message_Omsg' ), :=( T,
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 57, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 137, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 138, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 0.71/1.12 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oanalz'( 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y,
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) ),
% 0.71/1.12 :=( Z, 'tc_Message_Omsg' ), :=( T, 'c_Message_Osynth'( 'v_G' ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 58, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H'
% 0.71/1.12 , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 138, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 0.71/1.12 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 139, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 58, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 0.71/1.12 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 46, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Z ), Y,
% 0.71/1.12 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 0.71/1.12 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y,
% 0.71/1.12 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 139, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 140, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 58, [ ~( 'c_in'( 'v_X', 'c_Message_Oanalz'( 'c_union'( 'v_G',
% 0.71/1.12 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 2, [ 'c_in'( X, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ),
% 0.71/1.12 ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, X ),
% 0.71/1.12 :=( Z, 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 61, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 140, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 141, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_G',
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 60, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.71/1.12 'c_Message_Omsg_OMPair'( 'v_X', X ) ), :=( Y, 'v_G' ), :=( Z,
% 0.71/1.12 'tc_Message_Omsg' ), :=( T, 'v_H' )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 82, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_G',
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 141, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_G',
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 142, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.71/1.12 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_Message_Oanalz'( 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , clause( 7, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X,
% 0.71/1.12 'c_union'( Y, Z, T ), T ) ) ] )
% 0.71/1.12 , 2, clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.71/1.12 'c_union'( 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 0.71/1.12 ) ), 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg'
% 0.71/1.12 ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ) ),
% 0.71/1.12 :=( Y, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) )
% 0.71/1.12 ), :=( Z, 'c_Message_Osynth'( 'v_G' ) ), :=( T, 'tc_Message_Omsg' )] ),
% 0.71/1.12 substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 143, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , clause( 61, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 142, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ), 'c_in'(
% 0.71/1.12 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_Message_Oanalz'( 'c_union'(
% 0.71/1.12 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , 1, substitution( 0, [ :=( X, 'v_Y' )] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 106, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , clause( 143, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 144, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 82, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_G',
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ),
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ), ~(
% 0.71/1.12 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'v_X' ),
% 0.71/1.12 :=( Y, X ), :=( Z, 'v_G' )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 145, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 57, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 144, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_G' ),
% 0.71/1.12 'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 121, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , clause( 145, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 146, [] )
% 0.71/1.12 , clause( 121, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ) ] )
% 0.71/1.12 , 0, clause( 106, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ),
% 0.71/1.12 'c_Message_Osynth'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, 'v_Y' )] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 125, [] )
% 0.71/1.12 , clause( 146, [] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 end.
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 Memory use:
% 0.71/1.12
% 0.71/1.12 space for terms: 2142
% 0.71/1.12 space for clauses: 8454
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 clauses generated: 203
% 0.71/1.12 clauses kept: 126
% 0.71/1.12 clauses selected: 24
% 0.71/1.12 clauses deleted: 1
% 0.71/1.12 clauses inuse deleted: 0
% 0.71/1.12
% 0.71/1.12 subsentry: 316
% 0.71/1.12 literals s-matched: 273
% 0.71/1.12 literals matched: 273
% 0.71/1.12 full subsumption: 28
% 0.71/1.12
% 0.71/1.12 checksum: -564498104
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksem ended
%------------------------------------------------------------------------------