TSTP Solution File: LCL189-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL189-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:51:26 EDT 2022
% Result : Unsatisfiable 2.01s 2.41s
% Output : Refutation 2.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL189-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.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 : Sun Jul 3 19:53:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.01/2.41 *** allocated 10000 integers for termspace/termends
% 2.01/2.41 *** allocated 10000 integers for clauses
% 2.01/2.41 *** allocated 10000 integers for justifications
% 2.01/2.41 Bliksem 1.12
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Automatic Strategy Selection
% 2.01/2.41
% 2.01/2.41 Clauses:
% 2.01/2.41 [
% 2.01/2.41 [ axiom( implies( or( X, X ), X ) ) ],
% 2.01/2.41 [ axiom( implies( X, or( Y, X ) ) ) ],
% 2.01/2.41 [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ],
% 2.01/2.41 [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ],
% 2.01/2.41 [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y ) ) ) )
% 2.01/2.41 ],
% 2.01/2.41 [ =( implies( X, Y ), or( not( X ), Y ) ) ],
% 2.01/2.41 [ theorem( X ), ~( axiom( X ) ) ],
% 2.01/2.41 [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y ) ) ]
% 2.01/2.41 ,
% 2.01/2.41 [ ~( theorem( or( not( p ), implies( implies( p, q ), q ) ) ) ) ]
% 2.01/2.41 ] .
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 percentage equality = 0.083333, percentage horn = 1.000000
% 2.01/2.41 This is a problem with some equality
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Options Used:
% 2.01/2.41
% 2.01/2.41 useres = 1
% 2.01/2.41 useparamod = 1
% 2.01/2.41 useeqrefl = 1
% 2.01/2.41 useeqfact = 1
% 2.01/2.41 usefactor = 1
% 2.01/2.41 usesimpsplitting = 0
% 2.01/2.41 usesimpdemod = 5
% 2.01/2.41 usesimpres = 3
% 2.01/2.41
% 2.01/2.41 resimpinuse = 1000
% 2.01/2.41 resimpclauses = 20000
% 2.01/2.41 substype = eqrewr
% 2.01/2.41 backwardsubs = 1
% 2.01/2.41 selectoldest = 5
% 2.01/2.41
% 2.01/2.41 litorderings [0] = split
% 2.01/2.41 litorderings [1] = extend the termordering, first sorting on arguments
% 2.01/2.41
% 2.01/2.41 termordering = kbo
% 2.01/2.41
% 2.01/2.41 litapriori = 0
% 2.01/2.41 termapriori = 1
% 2.01/2.41 litaposteriori = 0
% 2.01/2.41 termaposteriori = 0
% 2.01/2.41 demodaposteriori = 0
% 2.01/2.41 ordereqreflfact = 0
% 2.01/2.41
% 2.01/2.41 litselect = negord
% 2.01/2.41
% 2.01/2.41 maxweight = 15
% 2.01/2.41 maxdepth = 30000
% 2.01/2.41 maxlength = 115
% 2.01/2.41 maxnrvars = 195
% 2.01/2.41 excuselevel = 1
% 2.01/2.41 increasemaxweight = 1
% 2.01/2.41
% 2.01/2.41 maxselected = 10000000
% 2.01/2.41 maxnrclauses = 10000000
% 2.01/2.41
% 2.01/2.41 showgenerated = 0
% 2.01/2.41 showkept = 0
% 2.01/2.41 showselected = 0
% 2.01/2.41 showdeleted = 0
% 2.01/2.41 showresimp = 1
% 2.01/2.41 showstatus = 2000
% 2.01/2.41
% 2.01/2.41 prologoutput = 1
% 2.01/2.41 nrgoals = 5000000
% 2.01/2.41 totalproof = 1
% 2.01/2.41
% 2.01/2.41 Symbols occurring in the translation:
% 2.01/2.41
% 2.01/2.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.01/2.41 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 2.01/2.41 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 2.01/2.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.01/2.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.01/2.41 or [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 2.01/2.41 implies [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 2.01/2.41 axiom [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 2.01/2.41 not [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.01/2.41 theorem [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.01/2.41 p [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 2.01/2.41 q [50, 0] (w:1, o:15, a:1, s:1, b:0).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Starting Search:
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 3566
% 2.01/2.41 Kept: 2009
% 2.01/2.41 Inuse: 114
% 2.01/2.41 Deleted: 0
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 8501
% 2.01/2.41 Kept: 4041
% 2.01/2.41 Inuse: 186
% 2.01/2.41 Deleted: 0
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 12766
% 2.01/2.41 Kept: 6060
% 2.01/2.41 Inuse: 231
% 2.01/2.41 Deleted: 1
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 17377
% 2.01/2.41 Kept: 8122
% 2.01/2.41 Inuse: 266
% 2.01/2.41 Deleted: 1
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 23448
% 2.01/2.41 Kept: 10131
% 2.01/2.41 Inuse: 324
% 2.01/2.41 Deleted: 1
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 28377
% 2.01/2.41 Kept: 12217
% 2.01/2.41 Inuse: 360
% 2.01/2.41 Deleted: 1
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 33881
% 2.01/2.41 Kept: 14230
% 2.01/2.41 Inuse: 398
% 2.01/2.41 Deleted: 1
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 38000
% 2.01/2.41 Kept: 16469
% 2.01/2.41 Inuse: 413
% 2.01/2.41 Deleted: 1
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 43172
% 2.01/2.41 Kept: 18581
% 2.01/2.41 Inuse: 446
% 2.01/2.41 Deleted: 1
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying clauses:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 46685
% 2.01/2.41 Kept: 20733
% 2.01/2.41 Inuse: 476
% 2.01/2.41 Deleted: 61
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 50388
% 2.01/2.41 Kept: 22767
% 2.01/2.41 Inuse: 504
% 2.01/2.41 Deleted: 61
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 54378
% 2.01/2.41 Kept: 24894
% 2.01/2.41 Inuse: 528
% 2.01/2.41 Deleted: 61
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Intermediate Status:
% 2.01/2.41 Generated: 57914
% 2.01/2.41 Kept: 26899
% 2.01/2.41 Inuse: 543
% 2.01/2.41 Deleted: 61
% 2.01/2.41 Deletedinuse: 0
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41 Done
% 2.01/2.41
% 2.01/2.41 Resimplifying inuse:
% 2.01/2.41
% 2.01/2.41 Bliksems!, er is een bewijs:
% 2.01/2.41 % SZS status Unsatisfiable
% 2.01/2.41 % SZS output start Refutation
% 2.01/2.41
% 2.01/2.41 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 .
% 2.01/2.41 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 2.01/2.41 ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 8, [ ~( theorem( implies( p, implies( implies( p, q ), q ) ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 .
% 2.01/2.41 clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 14, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 18, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 2.01/2.41 ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 57, [ theorem( X ), ~( axiom( implies( Y, X ) ) ), ~( theorem( or(
% 2.01/2.41 Y, Y ) ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 66, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 2.01/2.41 ) ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 124, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 2.01/2.41 , Z ) ) ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 18430, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 18525, [ theorem( X ), ~( axiom( implies( implies( Y, Y ), X ) ) )
% 2.01/2.41 ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 24596, [ theorem( or( X, implies( or( X, Y ), Y ) ) ) ] )
% 2.01/2.41 .
% 2.01/2.41 clause( 27305, [ theorem( implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 .
% 2.01/2.41 clause( 28024, [] )
% 2.01/2.41 .
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 % SZS output end Refutation
% 2.01/2.41 found a proof!
% 2.01/2.41
% 2.01/2.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.01/2.41
% 2.01/2.41 initialclauses(
% 2.01/2.41 [ clause( 28026, [ axiom( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 , clause( 28027, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 , clause( 28028, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 2.01/2.41 , clause( 28029, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , clause( 28030, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or(
% 2.01/2.41 Z, Y ) ) ) ) ] )
% 2.01/2.41 , clause( 28031, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 2.01/2.41 , clause( 28032, [ theorem( X ), ~( axiom( X ) ) ] )
% 2.01/2.41 , clause( 28033, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 2.01/2.41 theorem( Y ) ) ] )
% 2.01/2.41 , clause( 28034, [ ~( theorem( or( not( p ), implies( implies( p, q ), q )
% 2.01/2.41 ) ) ) ] )
% 2.01/2.41 ] ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 , clause( 28026, [ axiom( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 , clause( 28027, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 , clause( 28029, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 eqswap(
% 2.01/2.41 clause( 28035, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 , clause( 28031, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 , clause( 28035, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 2.01/2.41 , clause( 28032, [ theorem( X ), ~( axiom( X ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.01/2.41 1 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 2.01/2.41 ) ] )
% 2.01/2.41 , clause( 28033, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 2.01/2.41 theorem( Y ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 paramod(
% 2.01/2.41 clause( 28050, [ ~( theorem( implies( p, implies( implies( p, q ), q ) ) )
% 2.01/2.41 ) ] )
% 2.01/2.41 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 , 0, clause( 28034, [ ~( theorem( or( not( p ), implies( implies( p, q ), q
% 2.01/2.41 ) ) ) ) ] )
% 2.01/2.41 , 0, 2, substitution( 0, [ :=( X, p ), :=( Y, implies( implies( p, q ), q )
% 2.01/2.41 )] ), substitution( 1, [] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 8, [ ~( theorem( implies( p, implies( implies( p, q ), q ) ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 , clause( 28050, [ ~( theorem( implies( p, implies( implies( p, q ), q ) )
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28051, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 2.01/2.41 , 1, clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, implies( X, or( Y, X ) ) )] ),
% 2.01/2.41 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 , clause( 28051, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28052, [ theorem( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 2.01/2.41 , 1, clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, implies( or( X, X ), X ) )] ),
% 2.01/2.41 substitution( 1, [ :=( X, X )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 , clause( 28052, [ theorem( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28053, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 2.01/2.41 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , 1, clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, X ) )] ), substitution( 1
% 2.01/2.41 , [ :=( X, X )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 14, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 2.01/2.41 , clause( 28053, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.01/2.41 1 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28055, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , 1, clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.01/2.41 , implies( Y, X ) )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 18, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 2.01/2.41 ) ] )
% 2.01/2.41 , clause( 28055, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X
% 2.01/2.41 ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28057, [ theorem( X ), ~( axiom( implies( Y, X ) ) ), ~( theorem(
% 2.01/2.41 or( Y, Y ) ) ) ] )
% 2.01/2.41 , clause( 18, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , 1, clause( 14, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.01/2.41 , Y )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 57, [ theorem( X ), ~( axiom( implies( Y, X ) ) ), ~( theorem( or(
% 2.01/2.41 Y, Y ) ) ) ] )
% 2.01/2.41 , clause( 28057, [ theorem( X ), ~( axiom( implies( Y, X ) ) ), ~( theorem(
% 2.01/2.41 or( Y, Y ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28058, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) )
% 2.01/2.41 , X ) ) ) ] )
% 2.01/2.41 , clause( 18, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , 1, clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, or( Z, Y ) ) )] ),
% 2.01/2.41 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 66, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 2.01/2.41 ) ) ) ] )
% 2.01/2.41 , clause( 28058, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y )
% 2.01/2.41 ), X ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.41 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 paramod(
% 2.01/2.41 clause( 28064, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y, implies(
% 2.01/2.41 X, Z ) ) ) ) ] )
% 2.01/2.41 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 , 0, clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 2.01/2.41 :=( X, not( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 paramod(
% 2.01/2.41 clause( 28067, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 2.01/2.41 X, Z ) ) ) ) ] )
% 2.01/2.41 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 , 0, clause( 28064, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y,
% 2.01/2.41 implies( X, Z ) ) ) ) ] )
% 2.01/2.41 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) )] ),
% 2.01/2.41 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 124, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 2.01/2.41 , Z ) ) ) ) ] )
% 2.01/2.41 , clause( 28067, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 2.01/2.41 X, Z ) ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28068, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 2.01/2.41 , clause( 66, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ),
% 2.01/2.41 X ) ) ) ] )
% 2.01/2.41 , 1, clause( 124, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y,
% 2.01/2.41 implies( X, Z ) ) ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, or( X, implies( Y, Y ) ) ), :=( Y, Y ), :=(
% 2.01/2.41 Z, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 18430, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 2.01/2.41 , clause( 28068, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28069, [ theorem( X ), ~( axiom( implies( implies( Y, Y ), X ) ) )
% 2.01/2.41 ] )
% 2.01/2.41 , clause( 57, [ theorem( X ), ~( axiom( implies( Y, X ) ) ), ~( theorem( or(
% 2.01/2.41 Y, Y ) ) ) ] )
% 2.01/2.41 , 2, clause( 18430, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, Y ) )] ),
% 2.01/2.41 substitution( 1, [ :=( X, implies( Y, Y ) ), :=( Y, Y )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 18525, [ theorem( X ), ~( axiom( implies( implies( Y, Y ), X ) ) )
% 2.01/2.41 ] )
% 2.01/2.41 , clause( 28069, [ theorem( X ), ~( axiom( implies( implies( Y, Y ), X ) )
% 2.01/2.41 ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 ), ==>( 1, 1 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28070, [ theorem( or( X, implies( or( X, Y ), Y ) ) ) ] )
% 2.01/2.41 , clause( 18525, [ theorem( X ), ~( axiom( implies( implies( Y, Y ), X ) )
% 2.01/2.41 ) ] )
% 2.01/2.41 , 1, clause( 124, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y,
% 2.01/2.41 implies( X, Z ) ) ) ) ] )
% 2.01/2.41 , 0, substitution( 0, [ :=( X, or( X, implies( or( X, Y ), Y ) ) ), :=( Y,
% 2.01/2.41 or( X, Y ) )] ), substitution( 1, [ :=( X, or( X, Y ) ), :=( Y, X ), :=(
% 2.01/2.41 Z, Y )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 24596, [ theorem( or( X, implies( or( X, Y ), Y ) ) ) ] )
% 2.01/2.41 , clause( 28070, [ theorem( or( X, implies( or( X, Y ), Y ) ) ) ] )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 paramod(
% 2.01/2.41 clause( 28074, [ theorem( or( not( X ), implies( implies( X, Y ), Y ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 , 0, clause( 24596, [ theorem( or( X, implies( or( X, Y ), Y ) ) ) ] )
% 2.01/2.41 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.41 :=( X, not( X ) ), :=( Y, Y )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 paramod(
% 2.01/2.41 clause( 28076, [ theorem( implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 2.01/2.41 , 0, clause( 28074, [ theorem( or( not( X ), implies( implies( X, Y ), Y )
% 2.01/2.41 ) ) ] )
% 2.01/2.41 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ), Y )
% 2.01/2.41 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 27305, [ theorem( implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 , clause( 28076, [ theorem( implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 2.01/2.41 )
% 2.01/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.41 )] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 resolution(
% 2.01/2.41 clause( 28077, [] )
% 2.01/2.41 , clause( 8, [ ~( theorem( implies( p, implies( implies( p, q ), q ) ) ) )
% 2.01/2.41 ] )
% 2.01/2.41 , 0, clause( 27305, [ theorem( implies( X, implies( implies( X, Y ), Y ) )
% 2.01/2.41 ) ] )
% 2.01/2.41 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, q )] )
% 2.01/2.41 ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 subsumption(
% 2.01/2.41 clause( 28024, [] )
% 2.01/2.41 , clause( 28077, [] )
% 2.01/2.41 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 end.
% 2.01/2.41
% 2.01/2.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.01/2.41
% 2.01/2.41 Memory use:
% 2.01/2.41
% 2.01/2.41 space for terms: 426112
% 2.01/2.41 space for clauses: 1292703
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 clauses generated: 60238
% 2.01/2.41 clauses kept: 28025
% 2.01/2.41 clauses selected: 562
% 2.01/2.41 clauses deleted: 62
% 2.01/2.41 clauses inuse deleted: 1
% 2.01/2.41
% 2.01/2.41 subsentry: 1323084
% 2.01/2.41 literals s-matched: 517834
% 2.01/2.41 literals matched: 477806
% 2.01/2.41 full subsumption: 226031
% 2.01/2.41
% 2.01/2.41 checksum: -1477012884
% 2.01/2.41
% 2.01/2.41
% 2.01/2.41 Bliksem ended
%------------------------------------------------------------------------------