TSTP Solution File: SET839-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 22:52:35 EDT 2022
% Result : Unsatisfiable 0.39s 1.03s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11 % Command : bliksem %s
% 0.11/0.31 % Computer : n014.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % DateTime : Sun Jul 10 14:11:50 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.39/1.03 *** allocated 10000 integers for termspace/termends
% 0.39/1.03 *** allocated 10000 integers for clauses
% 0.39/1.03 *** allocated 10000 integers for justifications
% 0.39/1.03 Bliksem 1.12
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 Automatic Strategy Selection
% 0.39/1.03
% 0.39/1.03 Clauses:
% 0.39/1.03 [
% 0.39/1.03 [ ~( 'c_lessequals'( 'v_S', 'c_insert'( X, 'c_emptyset', 'tc_set'( 't_a'
% 0.39/1.03 ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 0.39/1.03 [ 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ), ~( 'c_in'( Y, 'v_S',
% 0.39/1.03 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ],
% 0.39/1.03 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.39/1.03 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.39/1.03 , 'tc_set'( Z ) ) ],
% 0.39/1.03 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 0.39/1.03 X, Y, 'tc_set'( Z ) ) ],
% 0.39/1.03 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.39/1.03 'tc_set'( Z ) ) ), =( Y, X ) ]
% 0.39/1.03 ] .
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 percentage equality = 0.083333, percentage horn = 0.833333
% 0.39/1.03 This is a problem with some equality
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 Options Used:
% 0.39/1.03
% 0.39/1.03 useres = 1
% 0.39/1.03 useparamod = 1
% 0.39/1.03 useeqrefl = 1
% 0.39/1.03 useeqfact = 1
% 0.39/1.03 usefactor = 1
% 0.39/1.03 usesimpsplitting = 0
% 0.39/1.03 usesimpdemod = 5
% 0.39/1.03 usesimpres = 3
% 0.39/1.03
% 0.39/1.03 resimpinuse = 1000
% 0.39/1.03 resimpclauses = 20000
% 0.39/1.03 substype = eqrewr
% 0.39/1.03 backwardsubs = 1
% 0.39/1.03 selectoldest = 5
% 0.39/1.03
% 0.39/1.03 litorderings [0] = split
% 0.39/1.03 litorderings [1] = extend the termordering, first sorting on arguments
% 0.39/1.03
% 0.39/1.03 termordering = kbo
% 0.39/1.03
% 0.39/1.03 litapriori = 0
% 0.39/1.03 termapriori = 1
% 0.39/1.03 litaposteriori = 0
% 0.39/1.03 termaposteriori = 0
% 0.39/1.03 demodaposteriori = 0
% 0.39/1.03 ordereqreflfact = 0
% 0.39/1.03
% 0.39/1.03 litselect = negord
% 0.39/1.03
% 0.39/1.03 maxweight = 15
% 0.39/1.03 maxdepth = 30000
% 0.39/1.03 maxlength = 115
% 0.39/1.03 maxnrvars = 195
% 0.39/1.03 excuselevel = 1
% 0.39/1.03 increasemaxweight = 1
% 0.39/1.03
% 0.39/1.03 maxselected = 10000000
% 0.39/1.03 maxnrclauses = 10000000
% 0.39/1.03
% 0.39/1.03 showgenerated = 0
% 0.39/1.03 showkept = 0
% 0.39/1.03 showselected = 0
% 0.39/1.03 showdeleted = 0
% 0.39/1.03 showresimp = 1
% 0.39/1.03 showstatus = 2000
% 0.39/1.03
% 0.39/1.03 prologoutput = 1
% 0.39/1.03 nrgoals = 5000000
% 0.39/1.03 totalproof = 1
% 0.39/1.03
% 0.39/1.03 Symbols occurring in the translation:
% 0.39/1.03
% 0.39/1.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.39/1.03 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.39/1.03 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.39/1.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.39/1.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.39/1.03 'v_S' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.39/1.03 'c_emptyset' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.39/1.03 't_a' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.39/1.03 'tc_set' [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.39/1.03 'c_insert' [44, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.39/1.03 'c_lessequals' [45, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.39/1.03 'c_in' [47, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.39/1.03 'c_Main_OsubsetI__1' [52, 3] (w:1, o:52, a:1, s:1, b:0).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 Starting Search:
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 Bliksems!, er is een bewijs:
% 0.39/1.03 % SZS status Unsatisfiable
% 0.39/1.03 % SZS output start Refutation
% 0.39/1.03
% 0.39/1.03 clause( 0, [ ~( 'c_lessequals'( 'v_S', 'c_insert'( X, 'c_emptyset',
% 0.39/1.03 'tc_set'( 't_a' ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 1, [ 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ), ~( 'c_in'( Y, 'v_S'
% 0.39/1.03 , 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 2, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 3, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 4, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 5, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.39/1.03 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 7, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_S', 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ), 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 9, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_S', 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ), 'v_S', 'tc_set'(
% 0.39/1.03 't_a' ) ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 12, [ =( X, Y ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ), ~(
% 0.39/1.03 'c_in'( Y, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 31, [ ~( 'c_in'( Y, 'c_insert'( X, 'c_emptyset', 'tc_set'( 't_a' )
% 0.39/1.03 ), 'tc_set'( 't_a' ) ) ), ~( 'c_in'( Y, 'v_S', 'tc_set'( 't_a' ) ) ) ]
% 0.39/1.03 )
% 0.39/1.03 .
% 0.39/1.03 clause( 32, [ ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.39/1.03 .
% 0.39/1.03 clause( 33, [] )
% 0.39/1.03 .
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 % SZS output end Refutation
% 0.39/1.03 found a proof!
% 0.39/1.03
% 0.39/1.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/1.03
% 0.39/1.03 initialclauses(
% 0.39/1.03 [ clause( 35, [ ~( 'c_lessequals'( 'v_S', 'c_insert'( X, 'c_emptyset',
% 0.39/1.03 'tc_set'( 't_a' ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.39/1.03 , clause( 36, [ 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ), ~( 'c_in'( Y,
% 0.39/1.03 'v_S', 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) )
% 0.39/1.03 ] )
% 0.39/1.03 , clause( 37, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.39/1.03 , clause( 38, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 , clause( 39, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 , clause( 40, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.39/1.03 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.39/1.03 ] ).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 subsumption(
% 0.39/1.03 clause( 0, [ ~( 'c_lessequals'( 'v_S', 'c_insert'( X, 'c_emptyset',
% 0.39/1.03 'tc_set'( 't_a' ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.39/1.03 , clause( 35, [ ~( 'c_lessequals'( 'v_S', 'c_insert'( X, 'c_emptyset',
% 0.39/1.03 'tc_set'( 't_a' ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.39/1.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 subsumption(
% 0.39/1.03 clause( 1, [ 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ), ~( 'c_in'( Y, 'v_S'
% 0.39/1.03 , 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) ) ] )
% 0.39/1.03 , clause( 36, [ 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ), ~( 'c_in'( Y,
% 0.39/1.03 'v_S', 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X, 'v_S', 'tc_set'( 't_a' ) ) )
% 0.39/1.03 ] )
% 0.39/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/1.03 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 subsumption(
% 0.39/1.03 clause( 2, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.39/1.03 , clause( 37, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.39/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 subsumption(
% 0.39/1.03 clause( 3, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 , clause( 38, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 subsumption(
% 0.39/1.03 clause( 4, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 , clause( 39, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 subsumption(
% 0.39/1.03 clause( 5, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.39/1.03 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.39/1.03 , clause( 40, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.39/1.03 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.39/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 resolution(
% 0.39/1.03 clause( 47, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_S', 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ), 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.39/1.03 , clause( 0, [ ~( 'c_lessequals'( 'v_S', 'c_insert'( X, 'c_emptyset',
% 0.39/1.03 'tc_set'( 't_a' ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.39/1.03 , 0, clause( 4, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.39/1.03 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.39/1.03 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'v_S' ),
% 0.39/1.03 :=( Y, 'c_insert'( X, 'c_emptyset', 'tc_set'( 't_a' ) ) ), :=( Z,
% 0.39/1.03 'tc_set'( 't_a' ) )] )).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 subsumption(
% 0.39/1.03 clause( 7, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_S', 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ), 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.39/1.03 , clause( 47, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_S', 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ), 'c_insert'( X,
% 0.39/1.03 'c_emptyset', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.39/1.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.03
% 0.39/1.03
% 0.39/1.03 resolution(
% 0.39/1.03 clause( 48, [ 'c_in'( 'c_MCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------