%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL122-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 : Fri Jul 15 00:12:53 EDT 2022
% Result : Unsatisfiable 0.68s 1.09s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL122-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 : Tue May 31 06:03:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.68/1.09 *** allocated 10000 integers for termspace/termends
% 0.68/1.09 *** allocated 10000 integers for clauses
% 0.68/1.09 *** allocated 10000 integers for justifications
% 0.68/1.09 Bliksem 1.12
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Automatic Strategy Selection
% 0.68/1.09
% 0.68/1.09 Clauses:
% 0.68/1.09 [
% 0.68/1.09 [ 'c_in'( 'c_Pair'( 'v_x', 'v_xaa', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.68/1.09 't_a', 't_a' ) ) ],
% 0.68/1.09 [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a'
% 0.68/1.09 , 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.68/1.09 ) ) ) ],
% 0.68/1.09 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.68/1.09 ), 'tc_prod'( Y, Y ) ) ]
% 0.68/1.09 ] .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 percentage equality = 0.000000, percentage horn = 1.000000
% 0.68/1.09 This is a near-Horn, non-equality problem
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Options Used:
% 0.68/1.09
% 0.68/1.09 useres = 1
% 0.68/1.09 useparamod = 0
% 0.68/1.09 useeqrefl = 0
% 0.68/1.09 useeqfact = 0
% 0.68/1.09 usefactor = 1
% 0.68/1.09 usesimpsplitting = 0
% 0.68/1.09 usesimpdemod = 0
% 0.68/1.09 usesimpres = 4
% 0.68/1.09
% 0.68/1.09 resimpinuse = 1000
% 0.68/1.09 resimpclauses = 20000
% 0.68/1.09 substype = standard
% 0.68/1.09 backwardsubs = 1
% 0.68/1.09 selectoldest = 5
% 0.68/1.09
% 0.68/1.09 litorderings [0] = split
% 0.68/1.09 litorderings [1] = liftord
% 0.68/1.09
% 0.68/1.09 termordering = none
% 0.68/1.09
% 0.68/1.09 litapriori = 1
% 0.68/1.09 termapriori = 0
% 0.68/1.09 litaposteriori = 0
% 0.68/1.09 termaposteriori = 0
% 0.68/1.09 demodaposteriori = 0
% 0.68/1.09 ordereqreflfact = 0
% 0.68/1.09
% 0.68/1.09 litselect = negative
% 0.68/1.09
% 0.68/1.09 maxweight = 30000
% 0.68/1.09 maxdepth = 30000
% 0.68/1.09 maxlength = 115
% 0.68/1.09 maxnrvars = 195
% 0.68/1.09 excuselevel = 0
% 0.68/1.09 increasemaxweight = 0
% 0.68/1.09
% 0.68/1.09 maxselected = 10000000
% 0.68/1.09 maxnrclauses = 10000000
% 0.68/1.09
% 0.68/1.09 showgenerated = 0
% 0.68/1.09 showkept = 0
% 0.68/1.09 showselected = 0
% 0.68/1.09 showdeleted = 0
% 0.68/1.09 showresimp = 1
% 0.68/1.09 showstatus = 2000
% 0.68/1.09
% 0.68/1.09 prologoutput = 1
% 0.68/1.09 nrgoals = 5000000
% 0.68/1.09 totalproof = 1
% 0.68/1.09
% 0.68/1.09 Symbols occurring in the translation:
% 0.68/1.09
% 0.68/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.68/1.09 ! [4, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.68/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 'v_x' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.68/1.09 'v_xaa' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.68/1.09 't_a' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.68/1.09 'c_Pair' [42, 4] (w:1, o:50, a:1, s:1, b:0),
% 0.68/1.09 'v_r' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.68/1.09 'tc_prod' [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.68/1.09 'c_in' [45, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl' [47, 2] (w:1, o:48, a:1, s:1, b:0)
% 0.68/1.09 .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Starting Search:
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksems!, er is een bewijs:
% 0.68/1.09 % SZS status Unsatisfiable
% 0.68/1.09 % SZS output start Refutation
% 0.68/1.09
% 0.68/1.09 clause( 0, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xaa', 't_a', 't_a' ), 'v_r',
% 0.68/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.68/1.09 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.68/1.09 't_a', 't_a' ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 2, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 3, [] )
% 0.68/1.09 .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 % SZS output end Refutation
% 0.68/1.09 found a proof!
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 initialclauses(
% 0.68/1.09 [ clause( 5, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xaa', 't_a', 't_a' ), 'v_r',
% 0.68/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.68/1.09 , clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r',
% 0.68/1.09 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a',
% 0.68/1.09 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.68/1.09 't_a', 't_a' ) ) ) ] )
% 0.68/1.09 , clause( 7, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.68/1.09 ] ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 0, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xaa', 't_a', 't_a' ), 'v_r',
% 0.68/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.68/1.09 , clause( 5, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xaa', 't_a', 't_a' ), 'v_r',
% 0.68/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.68/1.09 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.68/1.09 't_a', 't_a' ) ) ) ] )
% 0.68/1.09 , clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r',
% 0.68/1.09 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a',
% 0.68/1.09 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.68/1.09 't_a', 't_a' ) ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.09 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 2, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.68/1.09 , clause( 7, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 8, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', 'v_xaa', 't_a', 't_a' ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.68/1.09 ) ) ) ] )
% 0.68/1.09 , clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.68/1.09 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.68/1.09 't_a', 't_a' ) ) ) ] )
% 0.68/1.09 , 1, clause( 0, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xaa', 't_a', 't_a' ), 'v_r',
% 0.68/1.09 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, 'v_xaa' )] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 9, [] )
% 0.68/1.09 , clause( 8, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', 'v_xaa', 't_a', 't_a' ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.68/1.09 ) ) ) ] )
% 0.68/1.09 , 0, clause( 2, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.68/1.09 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xaa' ), :=( Y,
% 0.68/1.09 't_a' ), :=( Z, 'v_r' )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 3, [] )
% 0.68/1.09 , clause( 9, [] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 end.
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 Memory use:
% 0.68/1.09
% 0.68/1.09 space for terms: 159
% 0.68/1.09 space for clauses: 424
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 clauses generated: 4
% 0.68/1.09 clauses kept: 4
% 0.68/1.09 clauses selected: 3
% 0.68/1.09 clauses deleted: 0
% 0.68/1.09 clauses inuse deleted: 0
% 0.68/1.09
% 0.68/1.09 subsentry: 0
% 0.68/1.09 literals s-matched: 0
% 0.68/1.09 literals matched: 0
% 0.68/1.09 full subsumption: 0
% 0.68/1.09
% 0.68/1.09 checksum: 528317026
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksem ended
%------------------------------------------------------------------------------