TSTP Solution File: LCL176-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL176-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 07:51:16 EDT 2022
% Result : Unsatisfiable 1.76s 2.20s
% Output : Refutation 1.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL176-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.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 : Mon Jul 4 05:02:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.76/2.19 *** allocated 10000 integers for termspace/termends
% 1.76/2.19 *** allocated 10000 integers for clauses
% 1.76/2.19 *** allocated 10000 integers for justifications
% 1.76/2.19 Bliksem 1.12
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Automatic Strategy Selection
% 1.76/2.19
% 1.76/2.19 Clauses:
% 1.76/2.19 [
% 1.76/2.19 [ axiom( implies( or( X, X ), X ) ) ],
% 1.76/2.19 [ axiom( implies( X, or( Y, X ) ) ) ],
% 1.76/2.19 [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ],
% 1.76/2.19 [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ],
% 1.76/2.19 [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y ) ) ) )
% 1.76/2.19 ],
% 1.76/2.19 [ =( implies( X, Y ), or( not( X ), Y ) ) ],
% 1.76/2.19 [ theorem( X ), ~( axiom( X ) ) ],
% 1.76/2.19 [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y ) ) ]
% 1.76/2.19 ,
% 1.76/2.19 [ ~( theorem( implies( p, p ) ) ) ]
% 1.76/2.19 ] .
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 percentage equality = 0.083333, percentage horn = 1.000000
% 1.76/2.19 This is a problem with some equality
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Options Used:
% 1.76/2.19
% 1.76/2.19 useres = 1
% 1.76/2.19 useparamod = 1
% 1.76/2.19 useeqrefl = 1
% 1.76/2.19 useeqfact = 1
% 1.76/2.19 usefactor = 1
% 1.76/2.19 usesimpsplitting = 0
% 1.76/2.19 usesimpdemod = 5
% 1.76/2.19 usesimpres = 3
% 1.76/2.19
% 1.76/2.19 resimpinuse = 1000
% 1.76/2.19 resimpclauses = 20000
% 1.76/2.19 substype = eqrewr
% 1.76/2.19 backwardsubs = 1
% 1.76/2.19 selectoldest = 5
% 1.76/2.19
% 1.76/2.19 litorderings [0] = split
% 1.76/2.19 litorderings [1] = extend the termordering, first sorting on arguments
% 1.76/2.19
% 1.76/2.19 termordering = kbo
% 1.76/2.19
% 1.76/2.19 litapriori = 0
% 1.76/2.19 termapriori = 1
% 1.76/2.19 litaposteriori = 0
% 1.76/2.19 termaposteriori = 0
% 1.76/2.19 demodaposteriori = 0
% 1.76/2.19 ordereqreflfact = 0
% 1.76/2.19
% 1.76/2.19 litselect = negord
% 1.76/2.19
% 1.76/2.19 maxweight = 15
% 1.76/2.19 maxdepth = 30000
% 1.76/2.19 maxlength = 115
% 1.76/2.19 maxnrvars = 195
% 1.76/2.19 excuselevel = 1
% 1.76/2.19 increasemaxweight = 1
% 1.76/2.19
% 1.76/2.19 maxselected = 10000000
% 1.76/2.19 maxnrclauses = 10000000
% 1.76/2.19
% 1.76/2.19 showgenerated = 0
% 1.76/2.19 showkept = 0
% 1.76/2.19 showselected = 0
% 1.76/2.19 showdeleted = 0
% 1.76/2.19 showresimp = 1
% 1.76/2.19 showstatus = 2000
% 1.76/2.19
% 1.76/2.19 prologoutput = 1
% 1.76/2.19 nrgoals = 5000000
% 1.76/2.19 totalproof = 1
% 1.76/2.19
% 1.76/2.19 Symbols occurring in the translation:
% 1.76/2.19
% 1.76/2.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.76/2.19 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 1.76/2.19 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 1.76/2.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.76/2.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.76/2.19 or [40, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.76/2.19 implies [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.76/2.19 axiom [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.76/2.19 not [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.76/2.19 theorem [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.76/2.19 p [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Starting Search:
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Intermediate Status:
% 1.76/2.19 Generated: 3636
% 1.76/2.19 Kept: 2048
% 1.76/2.19 Inuse: 114
% 1.76/2.19 Deleted: 0
% 1.76/2.19 Deletedinuse: 0
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Intermediate Status:
% 1.76/2.19 Generated: 8340
% 1.76/2.19 Kept: 4074
% 1.76/2.19 Inuse: 179
% 1.76/2.19 Deleted: 0
% 1.76/2.19 Deletedinuse: 0
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Intermediate Status:
% 1.76/2.19 Generated: 13186
% 1.76/2.19 Kept: 6165
% 1.76/2.19 Inuse: 231
% 1.76/2.19 Deleted: 0
% 1.76/2.19 Deletedinuse: 0
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Intermediate Status:
% 1.76/2.19 Generated: 18325
% 1.76/2.19 Kept: 8167
% 1.76/2.19 Inuse: 274
% 1.76/2.19 Deleted: 0
% 1.76/2.19 Deletedinuse: 0
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19 Resimplifying inuse:
% 1.76/2.19 Done
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Intermediate Status:
% 1.76/2.19 Generated: 23361
% 1.76/2.20 Kept: 10185
% 1.76/2.20 Inuse: 309
% 1.76/2.20 Deleted: 0
% 1.76/2.20 Deletedinuse: 0
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 Intermediate Status:
% 1.76/2.20 Generated: 28520
% 1.76/2.20 Kept: 12440
% 1.76/2.20 Inuse: 347
% 1.76/2.20 Deleted: 0
% 1.76/2.20 Deletedinuse: 0
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 Intermediate Status:
% 1.76/2.20 Generated: 32204
% 1.76/2.20 Kept: 14575
% 1.76/2.20 Inuse: 358
% 1.76/2.20 Deleted: 0
% 1.76/2.20 Deletedinuse: 0
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 Intermediate Status:
% 1.76/2.20 Generated: 36451
% 1.76/2.20 Kept: 16613
% 1.76/2.20 Inuse: 387
% 1.76/2.20 Deleted: 0
% 1.76/2.20 Deletedinuse: 0
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 Intermediate Status:
% 1.76/2.20 Generated: 43492
% 1.76/2.20 Kept: 18627
% 1.76/2.20 Inuse: 441
% 1.76/2.20 Deleted: 0
% 1.76/2.20 Deletedinuse: 0
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20 Resimplifying clauses:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 Intermediate Status:
% 1.76/2.20 Generated: 49334
% 1.76/2.20 Kept: 20753
% 1.76/2.20 Inuse: 480
% 1.76/2.20 Deleted: 59
% 1.76/2.20 Deletedinuse: 0
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 Intermediate Status:
% 1.76/2.20 Generated: 54908
% 1.76/2.20 Kept: 22863
% 1.76/2.20 Inuse: 512
% 1.76/2.20 Deleted: 59
% 1.76/2.20 Deletedinuse: 0
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20 Resimplifying inuse:
% 1.76/2.20 Done
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 Bliksems!, er is een bewijs:
% 1.76/2.20 % SZS status Unsatisfiable
% 1.76/2.20 % SZS output start Refutation
% 1.76/2.20
% 1.76/2.20 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 1.76/2.20 )
% 1.76/2.20 .
% 1.76/2.20 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 1.76/2.20 ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 8, [ ~( theorem( implies( p, p ) ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 10, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 11, [ theorem( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 14, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 19, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 1.76/2.20 ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 38, [ ~( theorem( or( implies( p, p ), implies( p, p ) ) ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 70, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 1.76/2.20 ) ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 149, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 1.76/2.20 , Z ) ) ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 24642, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 1.76/2.20 .
% 1.76/2.20 clause( 24802, [] )
% 1.76/2.20 .
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 % SZS output end Refutation
% 1.76/2.20 found a proof!
% 1.76/2.20
% 1.76/2.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.76/2.20
% 1.76/2.20 initialclauses(
% 1.76/2.20 [ clause( 24804, [ axiom( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 , clause( 24805, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 , clause( 24806, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 1.76/2.20 , clause( 24807, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 1.76/2.20 ) ) ] )
% 1.76/2.20 , clause( 24808, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or(
% 1.76/2.20 Z, Y ) ) ) ) ] )
% 1.76/2.20 , clause( 24809, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 1.76/2.20 , clause( 24810, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.76/2.20 , clause( 24811, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 1.76/2.20 theorem( Y ) ) ] )
% 1.76/2.20 , clause( 24812, [ ~( theorem( implies( p, p ) ) ) ] )
% 1.76/2.20 ] ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 , clause( 24804, [ axiom( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 , clause( 24805, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.76/2.20 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 1.76/2.20 )
% 1.76/2.20 , clause( 24807, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 1.76/2.20 ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.76/2.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 eqswap(
% 1.76/2.20 clause( 24813, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.76/2.20 , clause( 24809, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.76/2.20 , clause( 24813, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.76/2.20 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.76/2.20 , clause( 24810, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.76/2.20 1 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 1.76/2.20 ) ] )
% 1.76/2.20 , clause( 24811, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 1.76/2.20 theorem( Y ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.76/2.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 8, [ ~( theorem( implies( p, p ) ) ) ] )
% 1.76/2.20 , clause( 24812, [ ~( theorem( implies( p, p ) ) ) ] )
% 1.76/2.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 resolution(
% 1.76/2.20 clause( 24817, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.76/2.20 , 1, clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [ :=( X, implies( X, or( Y, X ) ) )] ),
% 1.76/2.20 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 10, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 , clause( 24817, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.76/2.20 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 resolution(
% 1.76/2.20 clause( 24818, [ theorem( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.76/2.20 , 1, clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [ :=( X, implies( or( X, X ), X ) )] ),
% 1.76/2.20 substitution( 1, [ :=( X, X )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 11, [ theorem( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 , clause( 24818, [ theorem( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 resolution(
% 1.76/2.20 clause( 24819, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 1.76/2.20 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 1.76/2.20 ) ) ] )
% 1.76/2.20 , 1, clause( 11, [ theorem( implies( or( X, X ), X ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, X ) )] ), substitution( 1
% 1.76/2.20 , [ :=( X, X )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 14, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 1.76/2.20 , clause( 24819, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.76/2.20 1 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 resolution(
% 1.76/2.20 clause( 24821, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 1.76/2.20 ) ) ] )
% 1.76/2.20 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 1.76/2.20 ) ) ] )
% 1.76/2.20 , 1, clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 1.76/2.20 , implies( Y, X ) )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 19, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 1.76/2.20 ) ] )
% 1.76/2.20 , clause( 24821, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X
% 1.76/2.20 ) ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.76/2.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 resolution(
% 1.76/2.20 clause( 24823, [ ~( theorem( or( implies( p, p ), implies( p, p ) ) ) ) ]
% 1.76/2.20 )
% 1.76/2.20 , clause( 8, [ ~( theorem( implies( p, p ) ) ) ] )
% 1.76/2.20 , 0, clause( 14, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, implies( p, p ) )] )
% 1.76/2.20 ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 38, [ ~( theorem( or( implies( p, p ), implies( p, p ) ) ) ) ] )
% 1.76/2.20 , clause( 24823, [ ~( theorem( or( implies( p, p ), implies( p, p ) ) ) ) ]
% 1.76/2.20 )
% 1.76/2.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 resolution(
% 1.76/2.20 clause( 24824, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) )
% 1.76/2.20 , X ) ) ) ] )
% 1.76/2.20 , clause( 19, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 1.76/2.20 ) ) ] )
% 1.76/2.20 , 1, clause( 10, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, or( Z, Y ) ) )] ),
% 1.76/2.20 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 70, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 1.76/2.20 ) ) ) ] )
% 1.76/2.20 , clause( 24824, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y )
% 1.76/2.20 ), X ) ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.76/2.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 paramod(
% 1.76/2.20 clause( 24830, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y, implies(
% 1.76/2.20 X, Z ) ) ) ) ] )
% 1.76/2.20 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.76/2.20 , 0, clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 1.76/2.20 ) ) ] )
% 1.76/2.20 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 1.76/2.20 :=( X, not( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 paramod(
% 1.76/2.20 clause( 24833, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 1.76/2.20 X, Z ) ) ) ) ] )
% 1.76/2.20 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.76/2.20 , 0, clause( 24830, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y,
% 1.76/2.20 implies( X, Z ) ) ) ) ] )
% 1.76/2.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) )] ),
% 1.76/2.20 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 149, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 1.76/2.20 , Z ) ) ) ) ] )
% 1.76/2.20 , clause( 24833, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 1.76/2.20 X, Z ) ) ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.76/2.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 resolution(
% 1.76/2.20 clause( 24834, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 1.76/2.20 , clause( 70, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ),
% 1.76/2.20 X ) ) ) ] )
% 1.76/2.20 , 1, clause( 149, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y,
% 1.76/2.20 implies( X, Z ) ) ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [ :=( X, or( X, implies( Y, Y ) ) ), :=( Y, Y ), :=(
% 1.76/2.20 Z, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 24642, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 1.76/2.20 , clause( 24834, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 1.76/2.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.76/2.20 )] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 resolution(
% 1.76/2.20 clause( 24835, [] )
% 1.76/2.20 , clause( 38, [ ~( theorem( or( implies( p, p ), implies( p, p ) ) ) ) ] )
% 1.76/2.20 , 0, clause( 24642, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 1.76/2.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, implies( p, p ) ),
% 1.76/2.20 :=( Y, p )] )).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 subsumption(
% 1.76/2.20 clause( 24802, [] )
% 1.76/2.20 , clause( 24835, [] )
% 1.76/2.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 end.
% 1.76/2.20
% 1.76/2.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.76/2.20
% 1.76/2.20 Memory use:
% 1.76/2.20
% 1.76/2.20 space for terms: 389354
% 1.76/2.20 space for clauses: 1141191
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 clauses generated: 60768
% 1.76/2.20 clauses kept: 24803
% 1.76/2.20 clauses selected: 542
% 1.76/2.20 clauses deleted: 59
% 1.76/2.20 clauses inuse deleted: 0
% 1.76/2.20
% 1.76/2.20 subsentry: 1305107
% 1.76/2.20 literals s-matched: 577742
% 1.76/2.20 literals matched: 528253
% 1.76/2.20 full subsumption: 255475
% 1.76/2.20
% 1.76/2.20 checksum: 1162816412
% 1.76/2.20
% 1.76/2.20
% 1.76/2.20 Bliksem ended
%------------------------------------------------------------------------------