TSTP Solution File: LCL398-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:53:18 EDT 2022
% Result : Unsatisfiable 0.39s 1.05s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% 0.02/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Jul 2 23:05:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/1.05 *** allocated 10000 integers for termspace/termends
% 0.39/1.05 *** allocated 10000 integers for clauses
% 0.39/1.05 *** allocated 10000 integers for justifications
% 0.39/1.05 Bliksem 1.12
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Automatic Strategy Selection
% 0.39/1.05
% 0.39/1.05 Clauses:
% 0.39/1.05 [
% 0.39/1.05 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.39/1.05 'is_a_theorem'( Y ) ],
% 0.39/1.05 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.39/1.05 implies( X, Z ) ) ) ) ],
% 0.39/1.05 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.39/1.05 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.39/1.05 [ ~( 'is_a_theorem'( implies( not( implies( x, x ) ), y ) ) ) ]
% 0.39/1.05 ] .
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 percentage equality = 0.000000, percentage horn = 1.000000
% 0.39/1.05 This is a near-Horn, non-equality problem
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Options Used:
% 0.39/1.05
% 0.39/1.05 useres = 1
% 0.39/1.05 useparamod = 0
% 0.39/1.05 useeqrefl = 0
% 0.39/1.05 useeqfact = 0
% 0.39/1.05 usefactor = 1
% 0.39/1.05 usesimpsplitting = 0
% 0.39/1.05 usesimpdemod = 0
% 0.39/1.05 usesimpres = 4
% 0.39/1.05
% 0.39/1.05 resimpinuse = 1000
% 0.39/1.05 resimpclauses = 20000
% 0.39/1.05 substype = standard
% 0.39/1.05 backwardsubs = 1
% 0.39/1.05 selectoldest = 5
% 0.39/1.05
% 0.39/1.05 litorderings [0] = split
% 0.39/1.05 litorderings [1] = liftord
% 0.39/1.05
% 0.39/1.05 termordering = none
% 0.39/1.05
% 0.39/1.05 litapriori = 1
% 0.39/1.05 termapriori = 0
% 0.39/1.05 litaposteriori = 0
% 0.39/1.05 termaposteriori = 0
% 0.39/1.05 demodaposteriori = 0
% 0.39/1.05 ordereqreflfact = 0
% 0.39/1.05
% 0.39/1.05 litselect = negative
% 0.39/1.05
% 0.39/1.05 maxweight = 30000
% 0.39/1.05 maxdepth = 30000
% 0.39/1.05 maxlength = 115
% 0.39/1.05 maxnrvars = 195
% 0.39/1.05 excuselevel = 0
% 0.39/1.05 increasemaxweight = 0
% 0.39/1.05
% 0.39/1.05 maxselected = 10000000
% 0.39/1.05 maxnrclauses = 10000000
% 0.39/1.05
% 0.39/1.05 showgenerated = 0
% 0.39/1.05 showkept = 0
% 0.39/1.05 showselected = 0
% 0.39/1.05 showdeleted = 0
% 0.39/1.05 showresimp = 1
% 0.39/1.05 showstatus = 2000
% 0.39/1.05
% 0.39/1.05 prologoutput = 1
% 0.39/1.05 nrgoals = 5000000
% 0.39/1.05 totalproof = 1
% 0.39/1.05
% 0.39/1.05 Symbols occurring in the translation:
% 0.39/1.05
% 0.39/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.39/1.05 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.39/1.05 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.39/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.39/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.39/1.05 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.39/1.05 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.39/1.05 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.39/1.05 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.39/1.05 y [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Starting Search:
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Bliksems!, er is een bewijs:
% 0.39/1.05 % SZS status Unsatisfiable
% 0.39/1.05 % SZS output start Refutation
% 0.39/1.05
% 0.39/1.05 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.39/1.05 ~( 'is_a_theorem'( X ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.39/1.05 , Z ), implies( X, Z ) ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, x ) ), y ) ) ) ]
% 0.39/1.05 )
% 0.39/1.05 .
% 0.39/1.05 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.39/1.05 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.39/1.05 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.39/1.05 , implies( X, Z ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.39/1.05 X ), Y ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 31, [] )
% 0.39/1.05 .
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 % SZS output end Refutation
% 0.39/1.05 found a proof!
% 0.39/1.05
% 0.39/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/1.05
% 0.39/1.05 initialclauses(
% 0.39/1.05 [ clause( 33, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.39/1.05 X ) ), 'is_a_theorem'( Y ) ] )
% 0.39/1.05 , clause( 34, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.39/1.05 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.39/1.05 , clause( 35, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.39/1.05 , clause( 36, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.39/1.05 , clause( 37, [ ~( 'is_a_theorem'( implies( not( implies( x, x ) ), y ) ) )
% 0.39/1.05 ] )
% 0.39/1.05 ] ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.39/1.05 ~( 'is_a_theorem'( X ) ) ] )
% 0.39/1.05 , clause( 33, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.39/1.05 X ) ), 'is_a_theorem'( Y ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/1.05 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.39/1.05 , Z ), implies( X, Z ) ) ) ) ] )
% 0.39/1.05 , clause( 34, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.39/1.05 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.39/1.05 , clause( 35, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.39/1.05 , clause( 36, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/1.05 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, x ) ), y ) ) ) ]
% 0.39/1.05 )
% 0.39/1.05 , clause( 37, [ ~( 'is_a_theorem'( implies( not( implies( x, x ) ), y ) ) )
% 0.39/1.05 ] )
% 0.39/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 resolution(
% 0.39/1.05 clause( 39, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X ),
% 0.39/1.05 X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.39/1.05 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.39/1.05 , ~( 'is_a_theorem'( X ) ) ] )
% 0.39/1.05 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.39/1.05 )
% 0.39/1.05 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.39/1.05 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.39/1.05 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.39/1.05 , clause( 39, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.39/1.05 , X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.39/1.05 ), ==>( 1, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 resolution(
% 0.39/1.05 clause( 41, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ), Y
% 0.39/1.05 ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.39/1.05 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.39/1.05 , ~( 'is_a_theorem'( X ) ) ] )
% 0.39/1.05 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.39/1.05 )
% 0.39/1.05 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.39/1.05 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.39/1.05 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.39/1.05 , clause( 41, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ),
% 0.39/1.05 Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 resolution(
% 0.39/1.05 clause( 42, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.39/1.05 , implies( X, Z ) ) ) ] )
% 0.39/1.05 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.39/1.05 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.39/1.05 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.39/1.05 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.39/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.39/1.05 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.39/1.05 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.39/1.05 , implies( X, Z ) ) ) ] )
% 0.39/1.05 , clause( 42, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.39/1.05 ), implies( X, Z ) ) ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 resolution(
% 0.39/1.05 clause( 43, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.39/1.05 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.39/1.05 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.39/1.05 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.39/1.05 , Z ), implies( X, Z ) ) ) ] )
% 0.39/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.39/1.05 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.39/1.05 , clause( 43, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 resolution(
% 0.39/1.05 clause( 45, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.39/1.05 'is_a_theorem'( Y ) ] )
% 0.39/1.05 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.39/1.05 , ~( 'is_a_theorem'( X ) ) ] )
% 0.39/1.05 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.39/1.05 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.39/1.05 substitution( 1, [ :=( X, X )] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.39/1.05 X ), Y ) ) ) ] )
% 0.39/1.05 , clause( 45, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.39/1.05 'is_a_theorem'( Y ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.39/1.05 ), ==>( 1, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 resolution(
% 0.39/1.05 clause( 46, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.39/1.05 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.39/1.05 , X ), Y ) ) ) ] )
% 0.39/1.05 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.39/1.05 )
% 0.39/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.39/1.05 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.39/1.05 ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.39/1.05 , clause( 46, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/1.05 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 resolution(
% 0.39/1.05 clause( 47, [] )
% 0.39/1.05 , clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, x ) ), y ) ) )
% 0.39/1.05 ] )
% 0.39/1.05 , 0, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.39/1.05 )
% 0.39/1.05 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.39/1.05 ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 31, [] )
% 0.39/1.05 , clause( 47, [] )
% 0.39/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 end.
% 0.39/1.05
% 0.39/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/1.05
% 0.39/1.05 Memory use:
% 0.39/1.05
% 0.39/1.05 space for terms: 493
% 0.39/1.05 space for clauses: 2915
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 clauses generated: 42
% 0.39/1.05 clauses kept: 32
% 0.39/1.05 clauses selected: 17
% 0.39/1.05 clauses deleted: 0
% 0.39/1.05 clauses inuse deleted: 0
% 0.39/1.05
% 0.39/1.05 subsentry: 28
% 0.39/1.05 literals s-matched: 11
% 0.39/1.05 literals matched: 11
% 0.39/1.05 full subsumption: 0
% 0.39/1.05
% 0.39/1.05 checksum: -296335167
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Bliksem ended
%------------------------------------------------------------------------------