TSTP Solution File: SET864-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 : Mon Jul 18 22:53:00 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 : Mon Jul 11 02:31:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Zorn_Omaxchain'(
% 0.42/1.06 Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_lessequals'( 'c_Union'( T, Z
% 0.42/1.06 ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T, Z ), X ) ],
% 0.42/1.06 [ 'c_in'( 'v_c', 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.42/1.06 't_a' ) ) ) ],
% 0.42/1.06 [ 'c_in'( 'c_Union'( 'v_c', 't_a' ), 'v_S', 'tc_set'( 't_a' ) ) ],
% 0.42/1.06 [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_S',
% 0.42/1.06 'tc_set'( 't_a' ) ) ) ],
% 0.42/1.06 [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~( 'c_in'( X,
% 0.42/1.06 'v_S', 'tc_set'( 't_a' ) ) ) ],
% 0.42/1.06 [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ]
% 0.42/1.06
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 0.166667, percentage horn = 1.000000
% 0.42/1.06 This is a problem with some equality
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 1
% 0.42/1.06 useeqrefl = 1
% 0.42/1.06 useeqfact = 1
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 5
% 0.42/1.06 usesimpres = 3
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = eqrewr
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.06
% 0.42/1.06 termordering = kbo
% 0.42/1.06
% 0.42/1.06 litapriori = 0
% 0.42/1.06 termapriori = 1
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negord
% 0.42/1.06
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 1
% 0.42/1.06 increasemaxweight = 1
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 'tc_set' [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.42/1.06 'c_in' [43, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.42/1.06 'c_Zorn_Omaxchain' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.42/1.06 'c_Union' [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.42/1.06 'c_lessequals' [47, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.42/1.06 'v_c' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.06 'v_S' [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.42/1.06 't_a' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.42/1.06 'v_x' [52, 1] (w:1, o:23, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.42/1.06 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.42/1.06 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.42/1.06 , Z ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 1, [ 'c_in'( 'v_c', 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 2, [ 'c_in'( 'c_Union'( 'v_c', 't_a' ), 'v_S', 'tc_set'( 't_a' ) )
% 0.42/1.06 ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 3, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'( X,
% 0.42/1.06 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.42/1.06 X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 5, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a'
% 0.42/1.06 ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 6, [ ~( =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.06 't_a' ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 7, [ 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), 'v_x'( 'c_Union'(
% 0.42/1.06 'v_c', 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 10, [ ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 0.42/1.06 'c_Union'( 'v_c', 't_a' ), X, 'tc_set'( 't_a' ) ) ), =( 'c_Union'( 'v_c'
% 0.42/1.06 , 't_a' ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 41, [ 'c_in'( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'v_S', 'tc_set'(
% 0.42/1.06 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 62, [ =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.06 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 65, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 67, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.42/1.06 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.42/1.06 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.42/1.06 , Z ), X ) ] )
% 0.42/1.06 , clause( 68, [ 'c_in'( 'v_c', 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 , clause( 69, [ 'c_in'( 'c_Union'( 'v_c', 't_a' ), 'v_S', 'tc_set'( 't_a' )
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 70, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.42/1.06 X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 , clause( 71, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~(
% 0.42/1.06 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 , clause( 72, [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.42/1.06 't_a' ) ) ) ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.42/1.06 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.42/1.06 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.42/1.06 , Z ), X ) ] )
% 0.42/1.06 , clause( 67, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.42/1.06 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.42/1.06 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.42/1.06 , Z ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 1, [ 'c_in'( 'v_c', 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 , clause( 68, [ 'c_in'( 'v_c', 'c_Zorn_Omaxchain'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.06 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 2, [ 'c_in'( 'c_Union'( 'v_c', 't_a' ), 'v_S', 'tc_set'( 't_a' ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 69, [ 'c_in'( 'c_Union'( 'v_c', 't_a' ), 'v_S', 'tc_set'( 't_a' )
% 0.42/1.06 ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 3, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'( X,
% 0.42/1.07 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , clause( 70, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.42/1.07 X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.07 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 4, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 0.42/1.07 X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , clause( 71, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~(
% 0.42/1.07 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.07 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 79, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a'
% 0.42/1.07 ) ) ) ] )
% 0.42/1.07 , clause( 72, [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.42/1.07 't_a' ) ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 5, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a'
% 0.42/1.07 ) ) ) ] )
% 0.42/1.07 , clause( 79, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.42/1.07 't_a' ) ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.07 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 80, [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a'
% 0.42/1.07 ) ) ) ] )
% 0.42/1.07 , clause( 5, [ ~( =( 'v_x'( X ), X ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.42/1.07 't_a' ) ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 81, [ ~( =( 'c_Union'( 'v_c', 't_a' ), 'v_x'( 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ) ) ) ] )
% 0.42/1.07 , clause( 80, [ ~( =( X, 'v_x'( X ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'(
% 0.42/1.07 't_a' ) ) ) ] )
% 0.42/1.07 , 1, clause( 2, [ 'c_in'( 'c_Union'( 'v_c', 't_a' ), 'v_S', 'tc_set'( 't_a'
% 0.42/1.07 ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, 'c_Union'( 'v_c', 't_a' ) )] ),
% 0.42/1.07 substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 82, [ ~( =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ) ) ] )
% 0.42/1.07 , clause( 81, [ ~( =( 'c_Union'( 'v_c', 't_a' ), 'v_x'( 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ) ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 6, [ ~( =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ) ) ] )
% 0.42/1.07 , clause( 82, [ ~( =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c'
% 0.42/1.07 , 't_a' ) ) ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 83, [ 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), 'v_x'( 'c_Union'(
% 0.42/1.07 'v_c', 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.42/1.07 , clause( 4, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_set'( 't_a' ) ), ~(
% 0.42/1.07 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , 1, clause( 2, [ 'c_in'( 'c_Union'( 'v_c', 't_a' ), 'v_S', 'tc_set'( 't_a'
% 0.42/1.07 ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, 'c_Union'( 'v_c', 't_a' ) )] ),
% 0.42/1.07 substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 7, [ 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), 'v_x'( 'c_Union'(
% 0.42/1.07 'v_c', 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.42/1.07 , clause( 83, [ 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), 'v_x'( 'c_Union'(
% 0.42/1.07 'v_c', 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 84, [ =( Z, 'c_Union'( X, Y ) ), ~( 'c_in'( Z, T, 'tc_set'( Y ) ) )
% 0.42/1.07 , ~( 'c_in'( X, 'c_Zorn_Omaxchain'( T, Y ), 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.42/1.07 , ~( 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.42/1.07 , clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.42/1.07 'c_Zorn_Omaxchain'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.42/1.07 'c_lessequals'( 'c_Union'( T, Z ), X, 'tc_set'( Z ) ) ), =( 'c_Union'( T
% 0.42/1.07 , Z ), X ) ] )
% 0.42/1.07 , 3, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 86, [ =( X, 'c_Union'( 'v_c', 't_a' ) ), ~( 'c_in'( X, 'v_S',
% 0.42/1.07 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), X,
% 0.42/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , clause( 84, [ =( Z, 'c_Union'( X, Y ) ), ~( 'c_in'( Z, T, 'tc_set'( Y ) )
% 0.42/1.07 ), ~( 'c_in'( X, 'c_Zorn_Omaxchain'( T, Y ), 'tc_set'( 'tc_set'( Y ) ) )
% 0.42/1.07 ), ~( 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.42/1.07 , 2, clause( 1, [ 'c_in'( 'v_c', 'c_Zorn_Omaxchain'( 'v_S', 't_a' ),
% 0.42/1.07 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, 'v_c' ), :=( Y, 't_a' ), :=( Z, X ), :=( T,
% 0.42/1.07 'v_S' )] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 87, [ =( 'c_Union'( 'v_c', 't_a' ), X ), ~( 'c_in'( X, 'v_S',
% 0.42/1.07 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), X,
% 0.42/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , clause( 86, [ =( X, 'c_Union'( 'v_c', 't_a' ) ), ~( 'c_in'( X, 'v_S',
% 0.42/1.07 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), X,
% 0.42/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 10, [ ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 0.42/1.07 'c_Union'( 'v_c', 't_a' ), X, 'tc_set'( 't_a' ) ) ), =( 'c_Union'( 'v_c'
% 0.42/1.07 , 't_a' ), X ) ] )
% 0.42/1.07 , clause( 87, [ =( 'c_Union'( 'v_c', 't_a' ), X ), ~( 'c_in'( X, 'v_S',
% 0.42/1.07 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), X,
% 0.42/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.42/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 89, [ 'c_in'( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'v_S', 'tc_set'(
% 0.42/1.07 't_a' ) ) ] )
% 0.42/1.07 , clause( 3, [ 'c_in'( 'v_x'( X ), 'v_S', 'tc_set'( 't_a' ) ), ~( 'c_in'( X
% 0.42/1.07 , 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , 1, clause( 2, [ 'c_in'( 'c_Union'( 'v_c', 't_a' ), 'v_S', 'tc_set'( 't_a'
% 0.42/1.07 ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, 'c_Union'( 'v_c', 't_a' ) )] ),
% 0.42/1.07 substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 41, [ 'c_in'( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'v_S', 'tc_set'(
% 0.42/1.07 't_a' ) ) ] )
% 0.42/1.07 , clause( 89, [ 'c_in'( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'v_S', 'tc_set'(
% 0.42/1.07 't_a' ) ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 eqswap(
% 0.42/1.07 clause( 90, [ =( X, 'c_Union'( 'v_c', 't_a' ) ), ~( 'c_in'( X, 'v_S',
% 0.42/1.07 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), X,
% 0.42/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , clause( 10, [ ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ), ~(
% 0.42/1.07 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), X, 'tc_set'( 't_a' ) ) ), =(
% 0.42/1.07 'c_Union'( 'v_c', 't_a' ), X ) ] )
% 0.42/1.07 , 2, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 91, [ =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ), ~( 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), 'v_x'( 'c_Union'(
% 0.42/1.07 'v_c', 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , clause( 90, [ =( X, 'c_Union'( 'v_c', 't_a' ) ), ~( 'c_in'( X, 'v_S',
% 0.42/1.07 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), X,
% 0.42/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , 1, clause( 41, [ 'c_in'( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'v_S',
% 0.42/1.07 'tc_set'( 't_a' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, 'v_x'( 'c_Union'( 'v_c', 't_a' ) ) )] ),
% 0.42/1.07 substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 92, [ =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ) ] )
% 0.42/1.07 , clause( 91, [ =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ), ~( 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), 'v_x'( 'c_Union'(
% 0.42/1.07 'v_c', 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.07 , 1, clause( 7, [ 'c_lessequals'( 'c_Union'( 'v_c', 't_a' ), 'v_x'(
% 0.42/1.07 'c_Union'( 'v_c', 't_a' ) ), 'tc_set'( 't_a' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 62, [ =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ) ] )
% 0.42/1.07 , clause( 92, [ =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 96, [] )
% 0.42/1.07 , clause( 6, [ ~( =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c',
% 0.42/1.07 't_a' ) ) ) ] )
% 0.42/1.07 , 0, clause( 62, [ =( 'v_x'( 'c_Union'( 'v_c', 't_a' ) ), 'c_Union'( 'v_c'
% 0.42/1.07 , 't_a' ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 65, [] )
% 0.42/1.07 , clause( 96, [] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 end.
% 0.42/1.07
% 0.42/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.07
% 0.42/1.07 Memory use:
% 0.42/1.07
% 0.42/1.07 space for terms: 1846
% 0.42/1.07 space for clauses: 4737
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 clauses generated: 476
% 0.42/1.07 clauses kept: 66
% 0.42/1.07 clauses selected: 20
% 0.42/1.07 clauses deleted: 2
% 0.42/1.07 clauses inuse deleted: 0
% 0.42/1.07
% 0.42/1.07 subsentry: 166
% 0.42/1.07 literals s-matched: 117
% 0.42/1.07 literals matched: 117
% 0.42/1.07 full subsumption: 30
% 0.42/1.07
% 0.42/1.07 checksum: 680541580
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksem ended
%------------------------------------------------------------------------------