TSTP Solution File: SET855-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET855-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 22:52:51 EDT 2022
% Result : Unsatisfiable 0.77s 1.16s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET855-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 10 10:55:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.77/1.16 *** allocated 10000 integers for termspace/termends
% 0.77/1.16 *** allocated 10000 integers for clauses
% 0.77/1.16 *** allocated 10000 integers for justifications
% 0.77/1.16 Bliksem 1.12
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Automatic Strategy Selection
% 0.77/1.16
% 0.77/1.16 Clauses:
% 0.77/1.16 [
% 0.77/1.16 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.77/1.16 'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.77/1.16 [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'(
% 0.77/1.16 'tc_set'( 't_a' ) ) ) ],
% 0.77/1.16 [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n', 'tc_set'(
% 0.77/1.16 'tc_set'( 't_a' ) ) ) ],
% 0.77/1.16 [ ~( =( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ) ) ) ]
% 0.77/1.16 ] .
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 percentage equality = 0.333333, percentage horn = 1.000000
% 0.77/1.16 This is a problem with some equality
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Options Used:
% 0.77/1.16
% 0.77/1.16 useres = 1
% 0.77/1.16 useparamod = 1
% 0.77/1.16 useeqrefl = 1
% 0.77/1.16 useeqfact = 1
% 0.77/1.16 usefactor = 1
% 0.77/1.16 usesimpsplitting = 0
% 0.77/1.16 usesimpdemod = 5
% 0.77/1.16 usesimpres = 3
% 0.77/1.16
% 0.77/1.16 resimpinuse = 1000
% 0.77/1.16 resimpclauses = 20000
% 0.77/1.16 substype = eqrewr
% 0.77/1.16 backwardsubs = 1
% 0.77/1.16 selectoldest = 5
% 0.77/1.16
% 0.77/1.16 litorderings [0] = split
% 0.77/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.16
% 0.77/1.16 termordering = kbo
% 0.77/1.16
% 0.77/1.16 litapriori = 0
% 0.77/1.16 termapriori = 1
% 0.77/1.16 litaposteriori = 0
% 0.77/1.16 termaposteriori = 0
% 0.77/1.16 demodaposteriori = 0
% 0.77/1.16 ordereqreflfact = 0
% 0.77/1.16
% 0.77/1.16 litselect = negord
% 0.77/1.16
% 0.77/1.16 maxweight = 15
% 0.77/1.16 maxdepth = 30000
% 0.77/1.16 maxlength = 115
% 0.77/1.16 maxnrvars = 195
% 0.77/1.16 excuselevel = 1
% 0.77/1.16 increasemaxweight = 1
% 0.77/1.16
% 0.77/1.16 maxselected = 10000000
% 0.77/1.16 maxnrclauses = 10000000
% 0.77/1.16
% 0.77/1.16 showgenerated = 0
% 0.77/1.16 showkept = 0
% 0.77/1.16 showselected = 0
% 0.77/1.16 showdeleted = 0
% 0.77/1.16 showresimp = 1
% 0.77/1.16 showstatus = 2000
% 0.77/1.16
% 0.77/1.16 prologoutput = 1
% 0.77/1.16 nrgoals = 5000000
% 0.77/1.16 totalproof = 1
% 0.77/1.16
% 0.77/1.16 Symbols occurring in the translation:
% 0.77/1.16
% 0.77/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.16 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.77/1.16 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.77/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.16 'tc_set' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.77/1.16 'c_lessequals' [43, 3] (w:1, o:47, a:1, s:1, b:0),
% 0.77/1.16 'v_n' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.77/1.16 'v_Y' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.77/1.16 't_a' [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.77/1.16 'c_Union' [47, 2] (w:1, o:46, a:1, s:1, b:0).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Starting Search:
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Bliksems!, er is een bewijs:
% 0.77/1.16 % SZS status Unsatisfiable
% 0.77/1.16 % SZS output start Refutation
% 0.77/1.16
% 0.77/1.16 clause( 0, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.77/1.16 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 1, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.77/1.16 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 2, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n',
% 0.77/1.16 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 3, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 4, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 21, [] )
% 0.77/1.16 .
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 % SZS output end Refutation
% 0.77/1.16 found a proof!
% 0.77/1.16
% 0.77/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.16
% 0.77/1.16 initialclauses(
% 0.77/1.16 [ clause( 23, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.77/1.16 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.77/1.16 , clause( 24, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' )
% 0.77/1.16 ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 , clause( 25, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.77/1.16 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 , clause( 26, [ ~( =( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ) ) ) ] )
% 0.77/1.16 ] ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 0, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.77/1.16 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.77/1.16 , clause( 23, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.77/1.16 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.77/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 1, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.77/1.16 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 , clause( 24, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' )
% 0.77/1.16 ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 2, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n',
% 0.77/1.16 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 , clause( 25, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.77/1.16 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 eqswap(
% 0.77/1.16 clause( 31, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ] )
% 0.77/1.16 , clause( 26, [ ~( =( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ) ) ) ] )
% 0.77/1.16 , 0, substitution( 0, [] )).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 3, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ] )
% 0.77/1.16 , clause( 31, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ] )
% 0.77/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 resolution(
% 0.77/1.16 clause( 32, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.77/1.16 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Union'( 'v_Y', 'tc_set'(
% 0.77/1.16 't_a' ) ), 'v_n' ) ] )
% 0.77/1.16 , clause( 0, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.77/1.16 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.77/1.16 , 0, clause( 1, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a'
% 0.77/1.16 ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 , 0, substitution( 0, [ :=( X, 'v_n' ), :=( Y, 'c_Union'( 'v_Y', 'tc_set'(
% 0.77/1.16 't_a' ) ) ), :=( Z, 'tc_set'( 't_a' ) )] ), substitution( 1, [] )).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 resolution(
% 0.77/1.16 clause( 34, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 0.77/1.16 , clause( 32, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.77/1.16 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Union'( 'v_Y', 'tc_set'(
% 0.77/1.16 't_a' ) ), 'v_n' ) ] )
% 0.77/1.16 , 0, clause( 2, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.77/1.16 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.16 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 4, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 0.77/1.16 , clause( 34, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 0.77/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 resolution(
% 0.77/1.16 clause( 38, [] )
% 0.77/1.16 , clause( 3, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ] )
% 0.77/1.16 , 0, clause( 4, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 0.77/1.16 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 21, [] )
% 0.77/1.16 , clause( 38, [] )
% 0.77/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 end.
% 0.77/1.16
% 0.77/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.16
% 0.77/1.16 Memory use:
% 0.77/1.16
% 0.77/1.16 space for terms: 424
% 0.77/1.16 space for clauses: 1600
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 clauses generated: 84
% 0.77/1.16 clauses kept: 22
% 0.77/1.16 clauses selected: 5
% 0.77/1.16 clauses deleted: 1
% 0.77/1.16 clauses inuse deleted: 0
% 0.77/1.16
% 0.77/1.16 subsentry: 79
% 0.77/1.16 literals s-matched: 66
% 0.77/1.16 literals matched: 66
% 0.77/1.16 full subsumption: 29
% 0.77/1.16
% 0.77/1.16 checksum: -1473206544
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Bliksem ended
%------------------------------------------------------------------------------