TSTP Solution File: SET844-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET844-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 22:52:40 EDT 2022
% Result : Unsatisfiable 0.69s 1.07s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET844-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jul 10 23:07:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.69/1.07 *** allocated 10000 integers for termspace/termends
% 0.69/1.07 *** allocated 10000 integers for clauses
% 0.69/1.07 *** allocated 10000 integers for justifications
% 0.69/1.07 Bliksem 1.12
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Automatic Strategy Selection
% 0.69/1.07
% 0.69/1.07 Clauses:
% 0.69/1.07 [
% 0.69/1.07 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.69/1.07 [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 0.69/1.07 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.69/1.07 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.69/1.07 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.69/1.07 =( X, 'c_Zorn_Osucc'( Y, X, Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 0.69/1.07 'tc_set'( Z ) ) ) ],
% 0.69/1.07 [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.69/1.07 't_a' ) ) ) ],
% 0.69/1.07 [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ],
% 0.69/1.07 [ ~( 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 0.69/1.07 ] .
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 percentage equality = 0.200000, percentage horn = 1.000000
% 0.69/1.07 This is a problem with some equality
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Options Used:
% 0.69/1.07
% 0.69/1.07 useres = 1
% 0.69/1.07 useparamod = 1
% 0.69/1.07 useeqrefl = 1
% 0.69/1.07 useeqfact = 1
% 0.69/1.07 usefactor = 1
% 0.69/1.07 usesimpsplitting = 0
% 0.69/1.07 usesimpdemod = 5
% 0.69/1.07 usesimpres = 3
% 0.69/1.07
% 0.69/1.07 resimpinuse = 1000
% 0.69/1.07 resimpclauses = 20000
% 0.69/1.07 substype = eqrewr
% 0.69/1.07 backwardsubs = 1
% 0.69/1.07 selectoldest = 5
% 0.69/1.07
% 0.69/1.07 litorderings [0] = split
% 0.69/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.07
% 0.69/1.07 termordering = kbo
% 0.69/1.07
% 0.69/1.07 litapriori = 0
% 0.69/1.07 termapriori = 1
% 0.69/1.07 litaposteriori = 0
% 0.69/1.07 termaposteriori = 0
% 0.69/1.07 demodaposteriori = 0
% 0.69/1.07 ordereqreflfact = 0
% 0.69/1.07
% 0.69/1.07 litselect = negord
% 0.69/1.07
% 0.69/1.07 maxweight = 15
% 0.69/1.07 maxdepth = 30000
% 0.69/1.07 maxlength = 115
% 0.69/1.07 maxnrvars = 195
% 0.69/1.07 excuselevel = 1
% 0.69/1.07 increasemaxweight = 1
% 0.69/1.07
% 0.69/1.07 maxselected = 10000000
% 0.69/1.07 maxnrclauses = 10000000
% 0.69/1.07
% 0.69/1.07 showgenerated = 0
% 0.69/1.07 showkept = 0
% 0.69/1.07 showselected = 0
% 0.69/1.07 showdeleted = 0
% 0.69/1.07 showresimp = 1
% 0.69/1.07 showstatus = 2000
% 0.69/1.07
% 0.69/1.07 prologoutput = 1
% 0.69/1.07 nrgoals = 5000000
% 0.69/1.07 totalproof = 1
% 0.69/1.07
% 0.69/1.07 Symbols occurring in the translation:
% 0.69/1.07
% 0.69/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.07 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.69/1.07 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.69/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.07 'tc_set' [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.07 'c_lessequals' [42, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.69/1.07 'c_Zorn_OTFin' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.69/1.07 'c_Union' [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.69/1.07 'c_in' [47, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.69/1.07 'c_Zorn_Osucc' [50, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.69/1.07 'v_m' [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.07 'v_S' [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.69/1.07 't_a' [53, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Starting Search:
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Bliksems!, er is een bewijs:
% 0.69/1.07 % SZS status Unsatisfiable
% 0.69/1.07 % SZS output start Refutation
% 0.69/1.07
% 0.69/1.07 clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 1, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 2, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.69/1.07 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.69/1.07 ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), 'c_lessequals'( T, X,
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 3, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 4, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 5, [ ~( 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.69/1.07 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 6, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.69/1.07 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 11, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.69/1.07 't_a' ) ) ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 13, [] )
% 0.69/1.07 .
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 % SZS output end Refutation
% 0.69/1.07 found a proof!
% 0.69/1.07
% 0.69/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.07
% 0.69/1.07 initialclauses(
% 0.69/1.07 [ clause( 15, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.69/1.07 , clause( 16, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , clause( 17, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.69/1.07 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.69/1.07 ) ), ~( =( X, 'c_Zorn_Osucc'( Y, X, Z ) ) ), 'c_lessequals'( T, X,
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , clause( 18, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , clause( 19, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.69/1.07 , clause( 20, [ ~( 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a'
% 0.69/1.07 ), 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.69/1.07 ] ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.69/1.07 , clause( 15, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.07 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 1, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , clause( 16, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 eqswap(
% 0.69/1.07 clause( 21, [ ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), ~( 'c_in'( X,
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_in'( T,
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T
% 0.69/1.07 , X, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , clause( 17, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.69/1.07 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.69/1.07 ) ), ~( =( X, 'c_Zorn_Osucc'( Y, X, Z ) ) ), 'c_lessequals'( T, X,
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 2, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.69/1.07 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.69/1.07 ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), 'c_lessequals'( T, X,
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , clause( 21, [ ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), ~( 'c_in'( X,
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_in'( T,
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T
% 0.69/1.07 , X, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.07 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 3, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , clause( 18, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 eqswap(
% 0.69/1.07 clause( 30, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.69/1.07 , clause( 19, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.69/1.07 , 0, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 4, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.69/1.07 , clause( 30, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 5, [ ~( 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.69/1.07 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.69/1.07 , clause( 20, [ ~( 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a'
% 0.69/1.07 ), 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 35, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.69/1.07 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.69/1.07 , clause( 1, [ ~( 'c_lessequals'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'(
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ) ), 'c_in'( 'c_Union'( X, 'tc_set'( Z ) ),
% 0.69/1.07 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , 0, clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'c_Zorn_OTFin'( X, Y ) ), :=( Y, X ), :=( Z
% 0.69/1.07 , Y )] ), substitution( 1, [ :=( X, 'c_Zorn_OTFin'( X, Y ) ), :=( Y,
% 0.69/1.07 'tc_set'( 'tc_set'( Y ) ) )] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 6, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) ),
% 0.69/1.07 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.69/1.07 , clause( 35, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y ) )
% 0.69/1.07 , 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.07 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 eqswap(
% 0.69/1.07 clause( 36, [ ~( =( Y, 'c_Zorn_Osucc'( X, Y, Z ) ) ), ~( 'c_in'( Y,
% 0.69/1.07 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_in'( T,
% 0.69/1.07 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T
% 0.69/1.07 , Y, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , clause( 2, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.69/1.07 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.69/1.07 ) ), ~( =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ), 'c_lessequals'( T, X,
% 0.69/1.07 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 38, [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ), ~(
% 0.69/1.07 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 0.69/1.07 ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , clause( 36, [ ~( =( Y, 'c_Zorn_Osucc'( X, Y, Z ) ) ), ~( 'c_in'( Y,
% 0.69/1.07 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 'c_in'( T,
% 0.69/1.07 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T
% 0.69/1.07 , Y, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.69/1.07 , 1, clause( 3, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_m' ), :=( Z, 't_a' ),
% 0.69/1.07 :=( T, X )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 paramod(
% 0.69/1.07 clause( 40, [ ~( =( 'v_m', 'v_m' ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 0.69/1.07 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m',
% 0.69/1.07 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , clause( 4, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.69/1.07 , 0, clause( 38, [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ),
% 0.69/1.07 ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 0.69/1.07 ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 eqrefl(
% 0.69/1.07 clause( 41, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.69/1.07 't_a' ) ) ) ] )
% 0.69/1.07 , clause( 40, [ ~( =( 'v_m', 'v_m' ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S'
% 0.69/1.07 , 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m',
% 0.69/1.07 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 11, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.69/1.07 't_a' ) ) ) ] )
% 0.69/1.07 , clause( 41, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.69/1.07 't_a' ) ) ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 42, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.69/1.07 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , clause( 11, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.69/1.07 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'(
% 0.69/1.07 't_a' ) ) ) ] )
% 0.69/1.07 , 0, clause( 6, [ 'c_in'( 'c_Union'( 'c_Zorn_OTFin'( X, Y ), 'tc_set'( Y )
% 0.69/1.07 ), 'c_Zorn_OTFin'( X, Y ), 'tc_set'( 'tc_set'( Y ) ) ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.69/1.07 'tc_set'( 't_a' ) ) )] ), substitution( 1, [ :=( X, 'v_S' ), :=( Y, 't_a'
% 0.69/1.07 )] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 43, [] )
% 0.69/1.07 , clause( 5, [ ~( 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' )
% 0.69/1.07 , 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.69/1.07 , 0, clause( 42, [ 'c_lessequals'( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a'
% 0.69/1.07 ), 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 13, [] )
% 0.69/1.07 , clause( 43, [] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 end.
% 0.69/1.07
% 0.69/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.07
% 0.69/1.07 Memory use:
% 0.69/1.07
% 0.69/1.07 space for terms: 491
% 0.69/1.07 space for clauses: 1385
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 clauses generated: 22
% 0.69/1.07 clauses kept: 14
% 0.69/1.07 clauses selected: 8
% 0.69/1.07 clauses deleted: 0
% 0.69/1.07 clauses inuse deleted: 0
% 0.69/1.07
% 0.69/1.07 subsentry: 54
% 0.69/1.07 literals s-matched: 25
% 0.69/1.07 literals matched: 25
% 0.69/1.07 full subsumption: 13
% 0.69/1.07
% 0.69/1.07 checksum: -1683513498
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Bliksem ended
%------------------------------------------------------------------------------