TSTP Solution File: SET851-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET851-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 22:52:47 EDT 2022
% Result : Unsatisfiable 0.42s 1.09s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET851-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.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 : Sun Jul 10 17:40:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.42/1.09 *** allocated 10000 integers for termspace/termends
% 0.42/1.09 *** allocated 10000 integers for clauses
% 0.42/1.09 *** allocated 10000 integers for justifications
% 0.42/1.09 Bliksem 1.12
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Automatic Strategy Selection
% 0.42/1.09
% 0.42/1.09 Clauses:
% 0.42/1.09 [
% 0.42/1.09 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.42/1.09 [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'(
% 0.42/1.09 X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.42/1.09 [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.42/1.09 't_a' ) ) ) ],
% 0.42/1.09 [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 0.42/1.09 [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.42/1.09 ],
% 0.42/1.09 [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_x', 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'(
% 0.42/1.09 't_a' ) ) ) ],
% 0.42/1.09 [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X, 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 0.42/1.09 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 0.42/1.09 ] .
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 percentage equality = 0.083333, percentage horn = 0.714286
% 0.42/1.09 This is a problem with some equality
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Options Used:
% 0.42/1.09
% 0.42/1.09 useres = 1
% 0.42/1.09 useparamod = 1
% 0.42/1.09 useeqrefl = 1
% 0.42/1.09 useeqfact = 1
% 0.42/1.09 usefactor = 1
% 0.42/1.09 usesimpsplitting = 0
% 0.42/1.09 usesimpdemod = 5
% 0.42/1.09 usesimpres = 3
% 0.42/1.09
% 0.42/1.09 resimpinuse = 1000
% 0.42/1.09 resimpclauses = 20000
% 0.42/1.09 substype = eqrewr
% 0.42/1.09 backwardsubs = 1
% 0.42/1.09 selectoldest = 5
% 0.42/1.09
% 0.42/1.09 litorderings [0] = split
% 0.42/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.09
% 0.42/1.09 termordering = kbo
% 0.42/1.09
% 0.42/1.09 litapriori = 0
% 0.42/1.09 termapriori = 1
% 0.42/1.09 litaposteriori = 0
% 0.42/1.09 termaposteriori = 0
% 0.42/1.09 demodaposteriori = 0
% 0.42/1.09 ordereqreflfact = 0
% 0.42/1.09
% 0.42/1.09 litselect = negord
% 0.42/1.09
% 0.42/1.09 maxweight = 15
% 0.42/1.09 maxdepth = 30000
% 0.42/1.09 maxlength = 115
% 0.42/1.09 maxnrvars = 195
% 0.42/1.09 excuselevel = 1
% 0.42/1.09 increasemaxweight = 1
% 0.42/1.09
% 0.42/1.09 maxselected = 10000000
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09
% 0.42/1.09 showgenerated = 0
% 0.42/1.09 showkept = 0
% 0.42/1.09 showselected = 0
% 0.42/1.09 showdeleted = 0
% 0.42/1.09 showresimp = 1
% 0.42/1.09 showstatus = 2000
% 0.42/1.09
% 0.42/1.09 prologoutput = 1
% 0.42/1.09 nrgoals = 5000000
% 0.42/1.09 totalproof = 1
% 0.42/1.09
% 0.42/1.09 Symbols occurring in the translation:
% 0.42/1.09
% 0.42/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.09 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.42/1.09 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.42/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.09 'tc_set' [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.09 'c_lessequals' [42, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.42/1.09 'c_Zorn_Osucc' [46, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.42/1.09 'v_x' [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.42/1.09 'v_S' [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.42/1.09 't_a' [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.42/1.09 'c_Zorn_OTFin' [50, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.42/1.09 'c_in' [51, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.42/1.09 'v_m' [52, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Bliksems!, er is een bewijs:
% 0.42/1.09 % SZS status Unsatisfiable
% 0.42/1.09 % SZS output start Refutation
% 0.42/1.09
% 0.42/1.09 clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.42/1.09 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 2, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 3, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 4, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 5, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_x',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m', 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 6, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X,
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 0.42/1.09 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 8, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 10, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 17, [ =( 'v_m', 'v_x' ), ~( 'c_lessequals'( 'v_x', 'v_m', 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 44, [ =( 'v_m', 'v_x' ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 46, [] )
% 0.42/1.09 .
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 % SZS output end Refutation
% 0.42/1.09 found a proof!
% 0.42/1.09
% 0.42/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.09
% 0.42/1.09 initialclauses(
% 0.42/1.09 [ clause( 48, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.42/1.09 , clause( 49, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.42/1.09 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , clause( 50, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 , clause( 51, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 52, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , clause( 53, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 , clause( 54, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X,
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 0.42/1.09 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 ] ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.42/1.09 , clause( 48, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.09 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.42/1.09 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , clause( 49, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.42/1.09 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 2, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 , clause( 50, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 3, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 51, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 4, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , clause( 52, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 5, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_x',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m', 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 , clause( 53, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.09 ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 6, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X,
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 0.42/1.09 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 54, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X,
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 0.42/1.09 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.09 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 resolution(
% 0.42/1.09 clause( 56, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 4, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , 0, clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.42/1.09 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Zorn_Osucc'( 'v_S'
% 0.42/1.09 , 'v_m', 't_a' ) ), :=( Y, 'v_x' ), :=( Z, 't_a' ), :=( T, 'v_S' )] )
% 0.42/1.09 ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 8, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 56, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 resolution(
% 0.42/1.09 clause( 57, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , clause( 8, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , 0, clause( 5, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.42/1.09 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 10, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , clause( 57, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 0.42/1.09 ) ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 eqswap(
% 0.42/1.09 clause( 58, [ =( 'v_m', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 0.42/1.09 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 0.42/1.09 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 6, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X,
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 0.42/1.09 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , 1, substitution( 0, [ :=( X, X )] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 resolution(
% 0.42/1.09 clause( 59, [ =( 'v_m', 'v_x' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 0.42/1.09 'v_x', 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 0.42/1.09 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 58, [ =( 'v_m', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 0.42/1.09 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 0.42/1.09 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , 3, clause( 2, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.09 , 0, substitution( 0, [ :=( X, 'v_x' )] ), substitution( 1, [] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 resolution(
% 0.42/1.09 clause( 60, [ =( 'v_m', 'v_x' ), ~( 'c_lessequals'( 'v_x', 'v_m', 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 3, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 0.42/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , 0, clause( 59, [ =( 'v_m', 'v_x' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S'
% 0.42/1.09 , 'v_x', 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~(
% 0.42/1.09 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 17, [ =( 'v_m', 'v_x' ), ~( 'c_lessequals'( 'v_x', 'v_m', 'tc_set'(
% 0.42/1.09 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , clause( 60, [ =( 'v_m', 'v_x' ), ~( 'c_lessequals'( 'v_x', 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.09 ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 resolution(
% 0.42/1.09 clause( 63, [ =( 'v_m', 'v_x' ) ] )
% 0.42/1.09 , clause( 17, [ =( 'v_m', 'v_x' ), ~( 'c_lessequals'( 'v_x', 'v_m',
% 0.42/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.42/1.09 , 1, clause( 10, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a'
% 0.42/1.09 ) ) ) ] )
% 0.42/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 44, [ =( 'v_m', 'v_x' ) ] )
% 0.42/1.09 , clause( 63, [ =( 'v_m', 'v_x' ) ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 paramod(
% 0.42/1.09 clause( 66, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 0.42/1.09 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , clause( 44, [ =( 'v_m', 'v_x' ) ] )
% 0.42/1.09 , 0, clause( 4, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' )
% 0.42/1.09 , 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.42/1.09 ) ] )
% 0.42/1.09 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 resolution(
% 0.42/1.09 clause( 67, [] )
% 0.42/1.09 , clause( 66, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 0.42/1.09 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.42/1.09 ] )
% 0.42/1.09 , 0, clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.42/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Zorn_Osucc'( 'v_S'
% 0.42/1.09 , 'v_x', 't_a' ) ), :=( Y, 'tc_set'( 't_a' ) )] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 46, [] )
% 0.42/1.09 , clause( 67, [] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 end.
% 0.42/1.09
% 0.42/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.09
% 0.42/1.09 Memory use:
% 0.42/1.09
% 0.42/1.09 space for terms: 1604
% 0.42/1.09 space for clauses: 3025
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 clauses generated: 144
% 0.42/1.09 clauses kept: 47
% 0.42/1.09 clauses selected: 11
% 0.42/1.09 clauses deleted: 2
% 0.42/1.09 clauses inuse deleted: 0
% 0.42/1.09
% 0.42/1.09 subsentry: 114
% 0.42/1.09 literals s-matched: 97
% 0.42/1.09 literals matched: 97
% 0.42/1.09 full subsumption: 19
% 0.42/1.09
% 0.42/1.09 checksum: -1487651514
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Bliksem ended
%------------------------------------------------------------------------------