TSTP Solution File: LCL414-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL414-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 07:53:25 EDT 2022
% Result : Unsatisfiable 0.70s 1.12s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL414-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.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 : Sat Jul 2 20:52:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.12 *** allocated 10000 integers for termspace/termends
% 0.70/1.12 *** allocated 10000 integers for clauses
% 0.70/1.12 *** allocated 10000 integers for justifications
% 0.70/1.12 Bliksem 1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Automatic Strategy Selection
% 0.70/1.12
% 0.70/1.12 Clauses:
% 0.70/1.12 [
% 0.70/1.12 [ 'a_truth'( X ), ~( 'a_truth'( Y ) ), ~( 'a_truth'( implies( Y, X ) ) )
% 0.70/1.12 ],
% 0.70/1.12 [ 'a_truth'( implies( X, implies( Y, X ) ) ) ],
% 0.70/1.12 [ 'a_truth'( implies( implies( X, implies( Y, Z ) ), implies( implies( X
% 0.70/1.12 , Y ), implies( X, Z ) ) ) ) ],
% 0.70/1.12 [ 'a_truth'( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ) )
% 0.70/1.12 ],
% 0.70/1.12 [ ~( 'a_truth'( implies( sk1, sk1 ) ) ) ]
% 0.70/1.12 ] .
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 percentage equality = 0.000000, percentage horn = 1.000000
% 0.70/1.12 This is a near-Horn, non-equality problem
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Options Used:
% 0.70/1.12
% 0.70/1.12 useres = 1
% 0.70/1.12 useparamod = 0
% 0.70/1.12 useeqrefl = 0
% 0.70/1.12 useeqfact = 0
% 0.70/1.12 usefactor = 1
% 0.70/1.12 usesimpsplitting = 0
% 0.70/1.12 usesimpdemod = 0
% 0.70/1.12 usesimpres = 4
% 0.70/1.12
% 0.70/1.12 resimpinuse = 1000
% 0.70/1.12 resimpclauses = 20000
% 0.70/1.12 substype = standard
% 0.70/1.12 backwardsubs = 1
% 0.70/1.12 selectoldest = 5
% 0.70/1.12
% 0.70/1.12 litorderings [0] = split
% 0.70/1.12 litorderings [1] = liftord
% 0.70/1.12
% 0.70/1.12 termordering = none
% 0.70/1.12
% 0.70/1.12 litapriori = 1
% 0.70/1.12 termapriori = 0
% 0.70/1.12 litaposteriori = 0
% 0.70/1.12 termaposteriori = 0
% 0.70/1.12 demodaposteriori = 0
% 0.70/1.12 ordereqreflfact = 0
% 0.70/1.12
% 0.70/1.12 litselect = negative
% 0.70/1.12
% 0.70/1.12 maxweight = 30000
% 0.70/1.12 maxdepth = 30000
% 0.70/1.12 maxlength = 115
% 0.70/1.12 maxnrvars = 195
% 0.70/1.12 excuselevel = 0
% 0.70/1.12 increasemaxweight = 0
% 0.70/1.12
% 0.70/1.12 maxselected = 10000000
% 0.70/1.12 maxnrclauses = 10000000
% 0.70/1.12
% 0.70/1.12 showgenerated = 0
% 0.70/1.12 showkept = 0
% 0.70/1.12 showselected = 0
% 0.70/1.12 showdeleted = 0
% 0.70/1.12 showresimp = 1
% 0.70/1.12 showstatus = 2000
% 0.70/1.12
% 0.70/1.12 prologoutput = 1
% 0.70/1.12 nrgoals = 5000000
% 0.70/1.12 totalproof = 1
% 0.70/1.12
% 0.70/1.12 Symbols occurring in the translation:
% 0.70/1.12
% 0.70/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.12 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.12 ! [4, 1] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 'a_truth' [40, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.70/1.12 implies [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.12 not [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.12 sk1 [45, 0] (w:1, o:5, a:1, s:1, b:0).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Starting Search:
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Bliksems!, er is een bewijs:
% 0.70/1.12 % SZS status Unsatisfiable
% 0.70/1.12 % SZS output start Refutation
% 0.70/1.12
% 0.70/1.12 clause( 0, [ 'a_truth'( X ), ~( 'a_truth'( implies( Y, X ) ) ), ~(
% 0.70/1.12 'a_truth'( Y ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 1, [ 'a_truth'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 2, [ 'a_truth'( implies( implies( X, implies( Y, Z ) ), implies(
% 0.70/1.12 implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 4, [ ~( 'a_truth'( implies( sk1, sk1 ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 5, [ 'a_truth'( X ), ~( 'a_truth'( implies( implies( Y, implies( Z
% 0.70/1.12 , Y ) ), X ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 8, [ 'a_truth'( implies( implies( X, Y ), implies( X, X ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 10, [ 'a_truth'( implies( X, X ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 13, [] )
% 0.70/1.12 .
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 % SZS output end Refutation
% 0.70/1.12 found a proof!
% 0.70/1.12
% 0.70/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.12
% 0.70/1.12 initialclauses(
% 0.70/1.12 [ clause( 15, [ 'a_truth'( X ), ~( 'a_truth'( Y ) ), ~( 'a_truth'( implies(
% 0.70/1.12 Y, X ) ) ) ] )
% 0.70/1.12 , clause( 16, [ 'a_truth'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.12 , clause( 17, [ 'a_truth'( implies( implies( X, implies( Y, Z ) ), implies(
% 0.70/1.12 implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.70/1.12 , clause( 18, [ 'a_truth'( implies( implies( not( X ), not( Y ) ), implies(
% 0.70/1.12 Y, X ) ) ) ] )
% 0.70/1.12 , clause( 19, [ ~( 'a_truth'( implies( sk1, sk1 ) ) ) ] )
% 0.70/1.12 ] ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 0, [ 'a_truth'( X ), ~( 'a_truth'( implies( Y, X ) ) ), ~(
% 0.70/1.12 'a_truth'( Y ) ) ] )
% 0.70/1.12 , clause( 15, [ 'a_truth'( X ), ~( 'a_truth'( Y ) ), ~( 'a_truth'( implies(
% 0.70/1.12 Y, X ) ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 1, [ 'a_truth'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.12 , clause( 16, [ 'a_truth'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 2, [ 'a_truth'( implies( implies( X, implies( Y, Z ) ), implies(
% 0.70/1.12 implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.70/1.12 , clause( 17, [ 'a_truth'( implies( implies( X, implies( Y, Z ) ), implies(
% 0.70/1.12 implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 4, [ ~( 'a_truth'( implies( sk1, sk1 ) ) ) ] )
% 0.70/1.12 , clause( 19, [ ~( 'a_truth'( implies( sk1, sk1 ) ) ) ] )
% 0.70/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 resolution(
% 0.70/1.12 clause( 21, [ 'a_truth'( X ), ~( 'a_truth'( implies( implies( Y, implies( Z
% 0.70/1.12 , Y ) ), X ) ) ) ] )
% 0.70/1.12 , clause( 0, [ 'a_truth'( X ), ~( 'a_truth'( implies( Y, X ) ) ), ~(
% 0.70/1.12 'a_truth'( Y ) ) ] )
% 0.70/1.12 , 2, clause( 1, [ 'a_truth'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, implies( Z, Y ) ) )] )
% 0.70/1.12 , substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 5, [ 'a_truth'( X ), ~( 'a_truth'( implies( implies( Y, implies( Z
% 0.70/1.12 , Y ) ), X ) ) ) ] )
% 0.70/1.12 , clause( 21, [ 'a_truth'( X ), ~( 'a_truth'( implies( implies( Y, implies(
% 0.70/1.12 Z, Y ) ), X ) ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 resolution(
% 0.70/1.12 clause( 22, [ 'a_truth'( implies( implies( X, Y ), implies( X, X ) ) ) ] )
% 0.70/1.12 , clause( 5, [ 'a_truth'( X ), ~( 'a_truth'( implies( implies( Y, implies(
% 0.70/1.12 Z, Y ) ), X ) ) ) ] )
% 0.70/1.12 , 1, clause( 2, [ 'a_truth'( implies( implies( X, implies( Y, Z ) ),
% 0.70/1.12 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( X, X ) )
% 0.70/1.12 ), :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.70/1.12 , :=( Z, X )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 8, [ 'a_truth'( implies( implies( X, Y ), implies( X, X ) ) ) ] )
% 0.70/1.12 , clause( 22, [ 'a_truth'( implies( implies( X, Y ), implies( X, X ) ) ) ]
% 0.70/1.12 )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 resolution(
% 0.70/1.12 clause( 23, [ 'a_truth'( implies( X, X ) ) ] )
% 0.70/1.12 , clause( 5, [ 'a_truth'( X ), ~( 'a_truth'( implies( implies( Y, implies(
% 0.70/1.12 Z, Y ) ), X ) ) ) ] )
% 0.70/1.12 , 1, clause( 8, [ 'a_truth'( implies( implies( X, Y ), implies( X, X ) ) )
% 0.70/1.12 ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, X ), :=( Z, Y )] )
% 0.70/1.12 , substitution( 1, [ :=( X, X ), :=( Y, implies( Y, X ) )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 10, [ 'a_truth'( implies( X, X ) ) ] )
% 0.70/1.12 , clause( 23, [ 'a_truth'( implies( X, X ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 resolution(
% 0.70/1.12 clause( 24, [] )
% 0.70/1.12 , clause( 4, [ ~( 'a_truth'( implies( sk1, sk1 ) ) ) ] )
% 0.70/1.12 , 0, clause( 10, [ 'a_truth'( implies( X, X ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 13, [] )
% 0.70/1.12 , clause( 24, [] )
% 0.70/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 end.
% 0.70/1.12
% 0.70/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.12
% 0.70/1.12 Memory use:
% 0.70/1.12
% 0.70/1.12 space for terms: 253
% 0.70/1.12 space for clauses: 1096
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 clauses generated: 15
% 0.70/1.12 clauses kept: 14
% 0.70/1.12 clauses selected: 8
% 0.70/1.12 clauses deleted: 0
% 0.70/1.12 clauses inuse deleted: 0
% 0.70/1.12
% 0.70/1.12 subsentry: 8
% 0.70/1.12 literals s-matched: 1
% 0.70/1.12 literals matched: 1
% 0.70/1.12 full subsumption: 0
% 0.70/1.12
% 0.70/1.12 checksum: -696585081
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Bliksem ended
%------------------------------------------------------------------------------