TSTP Solution File: LAT278-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 : Sun Jul 17 03:50:00 EDT 2022
% Result : Unsatisfiable 0.41s 1.03s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 29 21:35:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.03 *** allocated 10000 integers for termspace/termends
% 0.41/1.03 *** allocated 10000 integers for clauses
% 0.41/1.03 *** allocated 10000 integers for justifications
% 0.41/1.03 Bliksem 1.12
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 Automatic Strategy Selection
% 0.41/1.03
% 0.41/1.03 Clauses:
% 0.41/1.03 [
% 0.41/1.03 [ ~( 'c_Relation_Orefl'( 'v_A', 'v_r', 't_a' ) ) ],
% 0.41/1.03 [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ) ) ],
% 0.41/1.03 [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.03 , 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), Y ) ],
% 0.41/1.03 [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.03 ) ],
% 0.41/1.03 [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ) ) ]
% 0.41/1.03 ] .
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 percentage equality = 0.333333, percentage horn = 1.000000
% 0.41/1.03 This is a problem with some equality
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 Options Used:
% 0.41/1.03
% 0.41/1.03 useres = 1
% 0.41/1.03 useparamod = 1
% 0.41/1.03 useeqrefl = 1
% 0.41/1.03 useeqfact = 1
% 0.41/1.03 usefactor = 1
% 0.41/1.03 usesimpsplitting = 0
% 0.41/1.03 usesimpdemod = 5
% 0.41/1.03 usesimpres = 3
% 0.41/1.03
% 0.41/1.03 resimpinuse = 1000
% 0.41/1.03 resimpclauses = 20000
% 0.41/1.03 substype = eqrewr
% 0.41/1.03 backwardsubs = 1
% 0.41/1.03 selectoldest = 5
% 0.41/1.03
% 0.41/1.03 litorderings [0] = split
% 0.41/1.03 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.03
% 0.41/1.03 termordering = kbo
% 0.41/1.03
% 0.41/1.03 litapriori = 0
% 0.41/1.03 termapriori = 1
% 0.41/1.03 litaposteriori = 0
% 0.41/1.03 termaposteriori = 0
% 0.41/1.03 demodaposteriori = 0
% 0.41/1.03 ordereqreflfact = 0
% 0.41/1.03
% 0.41/1.03 litselect = negord
% 0.41/1.03
% 0.41/1.03 maxweight = 15
% 0.41/1.03 maxdepth = 30000
% 0.41/1.03 maxlength = 115
% 0.41/1.03 maxnrvars = 195
% 0.41/1.03 excuselevel = 1
% 0.41/1.03 increasemaxweight = 1
% 0.41/1.03
% 0.41/1.03 maxselected = 10000000
% 0.41/1.03 maxnrclauses = 10000000
% 0.41/1.03
% 0.41/1.03 showgenerated = 0
% 0.41/1.03 showkept = 0
% 0.41/1.03 showselected = 0
% 0.41/1.03 showdeleted = 0
% 0.41/1.03 showresimp = 1
% 0.41/1.03 showstatus = 2000
% 0.41/1.03
% 0.41/1.03 prologoutput = 1
% 0.41/1.03 nrgoals = 5000000
% 0.41/1.03 totalproof = 1
% 0.41/1.03
% 0.41/1.03 Symbols occurring in the translation:
% 0.41/1.03
% 0.41/1.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.03 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.41/1.03 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.41/1.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.03 'v_A' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.41/1.03 'v_r' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.41/1.03 't_a' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.41/1.03 'c_Relation_Orefl' [42, 3] (w:1, o:48, a:1, s:1, b:0),
% 0.41/1.03 'v_cl' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.41/1.03 'tc_Product__Type_Ounit' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.41/1.03 'c_Tarski_Opotype_Opset' [45, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.41/1.03 'c_Tarski_OPartialOrder' [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type' [49, 2] (w:1, o:47, a:1, s:1
% 0.41/1.03 , b:0),
% 0.41/1.03 'c_in' [50, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.41/1.03 'c_Tarski_Opotype_Oorder' [51, 3] (w:1, o:49, a:1, s:1, b:0).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 Starting Search:
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 Bliksems!, er is een bewijs:
% 0.41/1.03 % SZS status Unsatisfiable
% 0.41/1.03 % SZS output start Refutation
% 0.41/1.03
% 0.41/1.03 clause( 0, [ ~( 'c_Relation_Orefl'( 'v_A', 'v_r', 't_a' ) ) ] )
% 0.41/1.03 .
% 0.41/1.03 clause( 1, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.03 .
% 0.41/1.03 clause( 2, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.03 , 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.41/1.03 .
% 0.41/1.03 clause( 3, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.03 ) ] )
% 0.41/1.03 .
% 0.41/1.03 clause( 4, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.41/1.03 .
% 0.41/1.03 clause( 5, [] )
% 0.41/1.03 .
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 % SZS output end Refutation
% 0.41/1.03 found a proof!
% 0.41/1.03
% 0.41/1.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.03
% 0.41/1.03 initialclauses(
% 0.41/1.03 [ clause( 7, [ ~( 'c_Relation_Orefl'( 'v_A', 'v_r', 't_a' ) ) ] )
% 0.41/1.03 , clause( 8, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.03 , clause( 9, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.03 , 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.41/1.03 , clause( 10, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.03 ) ] )
% 0.41/1.03 , clause( 11, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.03 ] ).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 subsumption(
% 0.41/1.03 clause( 0, [ ~( 'c_Relation_Orefl'( 'v_A', 'v_r', 't_a' ) ) ] )
% 0.41/1.03 , clause( 7, [ ~( 'c_Relation_Orefl'( 'v_A', 'v_r', 't_a' ) ) ] )
% 0.41/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 eqswap(
% 0.41/1.03 clause( 12, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.03 , clause( 8, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.03 , 0, substitution( 0, [] )).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 subsumption(
% 0.41/1.03 clause( 1, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.03 , clause( 12, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 subsumption(
% 0.41/1.03 clause( 2, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.03 , 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.41/1.03 , clause( 9, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.03 , 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.41/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.03 ), ==>( 1, 1 )] ) ).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 subsumption(
% 0.41/1.03 clause( 3, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.03 ) ] )
% 0.41/1.03 , clause( 10, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.03 ) ] )
% 0.41/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 eqswap(
% 0.41/1.03 clause( 16, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.41/1.03 , clause( 11, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ) ) ] )
% 0.41/1.03 , 0, substitution( 0, [] )).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 subsumption(
% 0.41/1.03 clause( 4, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.41/1.03 , clause( 16, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.41/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 resolution(
% 0.41/1.03 clause( 19, [ 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.41/1.03 , clause( 2, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.41/1.03 , 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( X, Y,
% 0.41/1.03 'tc_Product__Type_Ounit' ), Y ) ] )
% 0.41/1.03 , 0, clause( 3, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 0.41/1.03 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.41/1.03 ) ] )
% 0.41/1.03 , 0, substitution( 0, [ :=( X, 'v_cl' ), :=( Y, 't_a' )] ), substitution( 1
% 0.41/1.03 , [] )).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 paramod(
% 0.41/1.03 clause( 20, [ 'c_Relation_Orefl'( 'v_A', 'c_Tarski_Opotype_Oorder'( 'v_cl'
% 0.41/1.03 , 't_a', 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.41/1.03 , clause( 1, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.41/1.03 , 0, clause( 19, [ 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( 'v_cl',
% 0.41/1.03 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( 'v_cl',
% 0.41/1.03 't_a', 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.41/1.03 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 paramod(
% 0.41/1.03 clause( 21, [ 'c_Relation_Orefl'( 'v_A', 'v_r', 't_a' ) ] )
% 0.41/1.03 , clause( 4, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 0.41/1.03 'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.41/1.03 , 0, clause( 20, [ 'c_Relation_Orefl'( 'v_A', 'c_Tarski_Opotype_Oorder'(
% 0.41/1.03 'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.41/1.03 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 resolution(
% 0.41/1.03 clause( 22, [] )
% 0.41/1.03 , clause( 0, [ ~( 'c_Relation_Orefl'( 'v_A', 'v_r', 't_a' ) ) ] )
% 0.41/1.03 , 0, clause( 21, [ 'c_Relation_Orefl'( 'v_A', 'v_r', 't_a' ) ] )
% 0.41/1.03 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 subsumption(
% 0.41/1.03 clause( 5, [] )
% 0.41/1.03 , clause( 22, [] )
% 0.41/1.03 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 end.
% 0.41/1.03
% 0.41/1.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.03
% 0.41/1.03 Memory use:
% 0.41/1.03
% 0.41/1.03 space for terms: 149
% 0.41/1.03 space for clauses: 513
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 clauses generated: 10
% 0.41/1.03 clauses kept: 6
% 0.41/1.03 clauses selected: 5
% 0.41/1.03 clauses deleted: 0
% 0.41/1.03 clauses inuse deleted: 0
% 0.41/1.03
% 0.41/1.03 subsentry: 36
% 0.41/1.03 literals s-matched: 17
% 0.41/1.03 literals matched: 17
% 0.41/1.03 full subsumption: 0
% 0.41/1.03
% 0.41/1.03 checksum: 36140003
% 0.41/1.03
% 0.41/1.03
% 0.41/1.03 Bliksem ended
%------------------------------------------------------------------------------