TSTP Solution File: LCL178-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL178-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 07:51:17 EDT 2022
% Result : Unsatisfiable 0.74s 1.55s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL178-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jul 4 13:00:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.74/1.55 *** allocated 10000 integers for termspace/termends
% 0.74/1.55 *** allocated 10000 integers for clauses
% 0.74/1.55 *** allocated 10000 integers for justifications
% 0.74/1.55 Bliksem 1.12
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Automatic Strategy Selection
% 0.74/1.55
% 0.74/1.55 Clauses:
% 0.74/1.55 [
% 0.74/1.55 [ axiom( implies( or( X, X ), X ) ) ],
% 0.74/1.55 [ axiom( implies( X, or( Y, X ) ) ) ],
% 0.74/1.55 [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ],
% 0.74/1.55 [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ],
% 0.74/1.55 [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y ) ) ) )
% 0.74/1.55 ],
% 0.74/1.55 [ =( implies( X, Y ), or( not( X ), Y ) ) ],
% 0.74/1.55 [ theorem( X ), ~( axiom( X ) ) ],
% 0.74/1.55 [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y ) ) ]
% 0.74/1.55 ,
% 0.74/1.55 [ ~( theorem( implies( p, not( not( p ) ) ) ) ) ]
% 0.74/1.55 ] .
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 percentage equality = 0.083333, percentage horn = 1.000000
% 0.74/1.55 This is a problem with some equality
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Options Used:
% 0.74/1.55
% 0.74/1.55 useres = 1
% 0.74/1.55 useparamod = 1
% 0.74/1.55 useeqrefl = 1
% 0.74/1.55 useeqfact = 1
% 0.74/1.55 usefactor = 1
% 0.74/1.55 usesimpsplitting = 0
% 0.74/1.55 usesimpdemod = 5
% 0.74/1.55 usesimpres = 3
% 0.74/1.55
% 0.74/1.55 resimpinuse = 1000
% 0.74/1.55 resimpclauses = 20000
% 0.74/1.55 substype = eqrewr
% 0.74/1.55 backwardsubs = 1
% 0.74/1.55 selectoldest = 5
% 0.74/1.55
% 0.74/1.55 litorderings [0] = split
% 0.74/1.55 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.55
% 0.74/1.55 termordering = kbo
% 0.74/1.55
% 0.74/1.55 litapriori = 0
% 0.74/1.55 termapriori = 1
% 0.74/1.55 litaposteriori = 0
% 0.74/1.55 termaposteriori = 0
% 0.74/1.55 demodaposteriori = 0
% 0.74/1.55 ordereqreflfact = 0
% 0.74/1.55
% 0.74/1.55 litselect = negord
% 0.74/1.55
% 0.74/1.55 maxweight = 15
% 0.74/1.55 maxdepth = 30000
% 0.74/1.55 maxlength = 115
% 0.74/1.55 maxnrvars = 195
% 0.74/1.55 excuselevel = 1
% 0.74/1.55 increasemaxweight = 1
% 0.74/1.55
% 0.74/1.55 maxselected = 10000000
% 0.74/1.55 maxnrclauses = 10000000
% 0.74/1.55
% 0.74/1.55 showgenerated = 0
% 0.74/1.55 showkept = 0
% 0.74/1.55 showselected = 0
% 0.74/1.55 showdeleted = 0
% 0.74/1.55 showresimp = 1
% 0.74/1.55 showstatus = 2000
% 0.74/1.55
% 0.74/1.55 prologoutput = 1
% 0.74/1.55 nrgoals = 5000000
% 0.74/1.55 totalproof = 1
% 0.74/1.55
% 0.74/1.55 Symbols occurring in the translation:
% 0.74/1.55
% 0.74/1.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.55 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.55 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.74/1.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.55 or [40, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.55 implies [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.74/1.55 axiom [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.55 not [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.55 theorem [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.55 p [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Starting Search:
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Intermediate Status:
% 0.74/1.55 Generated: 3679
% 0.74/1.55 Kept: 2061
% 0.74/1.55 Inuse: 109
% 0.74/1.55 Deleted: 3
% 0.74/1.55 Deletedinuse: 1
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Intermediate Status:
% 0.74/1.55 Generated: 8117
% 0.74/1.55 Kept: 4125
% 0.74/1.55 Inuse: 177
% 0.74/1.55 Deleted: 6
% 0.74/1.55 Deletedinuse: 1
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Intermediate Status:
% 0.74/1.55 Generated: 13740
% 0.74/1.55 Kept: 6164
% 0.74/1.55 Inuse: 236
% 0.74/1.55 Deleted: 6
% 0.74/1.55 Deletedinuse: 1
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Intermediate Status:
% 0.74/1.55 Generated: 18616
% 0.74/1.55 Kept: 8365
% 0.74/1.55 Inuse: 269
% 0.74/1.55 Deleted: 12
% 0.74/1.55 Deletedinuse: 1
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Intermediate Status:
% 0.74/1.55 Generated: 22442
% 0.74/1.55 Kept: 10416
% 0.74/1.55 Inuse: 285
% 0.74/1.55 Deleted: 12
% 0.74/1.55 Deletedinuse: 1
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Intermediate Status:
% 0.74/1.55 Generated: 28182
% 0.74/1.55 Kept: 12457
% 0.74/1.55 Inuse: 333
% 0.74/1.55 Deleted: 12
% 0.74/1.55 Deletedinuse: 1
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Intermediate Status:
% 0.74/1.55 Generated: 32319
% 0.74/1.55 Kept: 14515
% 0.74/1.55 Inuse: 360
% 0.74/1.55 Deleted: 12
% 0.74/1.55 Deletedinuse: 1
% 0.74/1.55
% 0.74/1.55 Resimplifying inuse:
% 0.74/1.55 Done
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Bliksems!, er is een bewijs:
% 0.74/1.55 % SZS status Unsatisfiable
% 0.74/1.55 % SZS output start Refutation
% 0.74/1.55
% 0.74/1.55 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 0.74/1.55 )
% 0.74/1.55 .
% 0.74/1.55 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 0.74/1.55 ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 8, [ ~( theorem( implies( p, not( not( p ) ) ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 16, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 0.74/1.55 ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 72, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 74, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 0.74/1.55 ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 99, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) ) ) )
% 0.74/1.55 ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 109, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 0.74/1.55 , Z ) ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 6023, [ ~( theorem( implies( not( p ), not( p ) ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 15394, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 15539, [ theorem( implies( X, X ) ) ] )
% 0.74/1.55 .
% 0.74/1.55 clause( 15580, [] )
% 0.74/1.55 .
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 % SZS output end Refutation
% 0.74/1.55 found a proof!
% 0.74/1.55
% 0.74/1.55 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.55
% 0.74/1.55 initialclauses(
% 0.74/1.55 [ clause( 15582, [ axiom( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 , clause( 15583, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 , clause( 15584, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 0.74/1.55 , clause( 15585, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , clause( 15586, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or(
% 0.74/1.55 Z, Y ) ) ) ) ] )
% 0.74/1.55 , clause( 15587, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 0.74/1.55 , clause( 15588, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.74/1.55 , clause( 15589, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 0.74/1.55 theorem( Y ) ) ] )
% 0.74/1.55 , clause( 15590, [ ~( theorem( implies( p, not( not( p ) ) ) ) ) ] )
% 0.74/1.55 ] ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 , clause( 15582, [ axiom( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 , clause( 15583, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 0.74/1.55 , clause( 15584, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 0.74/1.55 )
% 0.74/1.55 , clause( 15585, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 eqswap(
% 0.74/1.55 clause( 15591, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.74/1.55 , clause( 15587, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.74/1.55 , clause( 15591, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.74/1.55 , clause( 15588, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.55 1 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 0.74/1.55 ) ] )
% 0.74/1.55 , clause( 15589, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 0.74/1.55 theorem( Y ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 8, [ ~( theorem( implies( p, not( not( p ) ) ) ) ) ] )
% 0.74/1.55 , clause( 15590, [ ~( theorem( implies( p, not( not( p ) ) ) ) ) ] )
% 0.74/1.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15595, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.74/1.55 , 1, clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, implies( X, or( Y, X ) ) )] ),
% 0.74/1.55 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 , clause( 15595, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15596, [ theorem( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.74/1.55 , 1, clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, implies( or( X, X ), X ) )] ),
% 0.74/1.55 substitution( 1, [ :=( X, X )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 , clause( 15596, [ theorem( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15597, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.74/1.55 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , 1, clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, X ) )] ), substitution( 1
% 0.74/1.55 , [ :=( X, X )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 16, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.74/1.55 , clause( 15597, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.55 1 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15599, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , 1, clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.74/1.55 , implies( Y, X ) )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 0.74/1.55 ) ] )
% 0.74/1.55 , clause( 15599, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X
% 0.74/1.55 ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15601, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.74/1.55 , clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , 2, clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, or( Y, X ) )] ),
% 0.74/1.55 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 72, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.74/1.55 , clause( 15601, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 ), ==>( 1, 1 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15602, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) )
% 0.74/1.55 , X ) ) ) ] )
% 0.74/1.55 , clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , 1, clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, or( Z, Y ) ) )] ),
% 0.74/1.55 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 74, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 0.74/1.55 ) ) ) ] )
% 0.74/1.55 , clause( 15602, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y )
% 0.74/1.55 ), X ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.55 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 paramod(
% 0.74/1.55 clause( 15604, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) )
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.74/1.55 , 0, clause( 72, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.74/1.55 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.74/1.55 :=( X, not( X ) ), :=( Y, Y )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 99, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) ) ) )
% 0.74/1.55 ] )
% 0.74/1.55 , clause( 15604, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X )
% 0.74/1.55 ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 ), ==>( 1, 1 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 paramod(
% 0.74/1.55 clause( 15611, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y, implies(
% 0.74/1.55 X, Z ) ) ) ) ] )
% 0.74/1.55 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.74/1.55 , 0, clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 0.74/1.55 ) ) ] )
% 0.74/1.55 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.74/1.55 :=( X, not( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 paramod(
% 0.74/1.55 clause( 15614, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 0.74/1.55 X, Z ) ) ) ) ] )
% 0.74/1.55 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.74/1.55 , 0, clause( 15611, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y,
% 0.74/1.55 implies( X, Z ) ) ) ) ] )
% 0.74/1.55 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) )] ),
% 0.74/1.55 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 109, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 0.74/1.55 , Z ) ) ) ) ] )
% 0.74/1.55 , clause( 15614, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 0.74/1.55 X, Z ) ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15616, [ ~( theorem( or( not( not( p ) ), not( p ) ) ) ) ] )
% 0.74/1.55 , clause( 8, [ ~( theorem( implies( p, not( not( p ) ) ) ) ) ] )
% 0.74/1.55 , 0, clause( 99, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X )
% 0.74/1.55 ) ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, not( not(
% 0.74/1.55 p ) ) )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 paramod(
% 0.74/1.55 clause( 15617, [ ~( theorem( implies( not( p ), not( p ) ) ) ) ] )
% 0.74/1.55 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.74/1.55 , 0, clause( 15616, [ ~( theorem( or( not( not( p ) ), not( p ) ) ) ) ] )
% 0.74/1.55 , 0, 2, substitution( 0, [ :=( X, not( p ) ), :=( Y, not( p ) )] ),
% 0.74/1.55 substitution( 1, [] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 6023, [ ~( theorem( implies( not( p ), not( p ) ) ) ) ] )
% 0.74/1.55 , clause( 15617, [ ~( theorem( implies( not( p ), not( p ) ) ) ) ] )
% 0.74/1.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15618, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 0.74/1.55 , clause( 74, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ),
% 0.74/1.55 X ) ) ) ] )
% 0.74/1.55 , 1, clause( 109, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y,
% 0.74/1.55 implies( X, Z ) ) ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, or( X, implies( Y, Y ) ) ), :=( Y, Y ), :=(
% 0.74/1.55 Z, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 15394, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 0.74/1.55 , clause( 15618, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.55 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15619, [ theorem( implies( X, X ) ) ] )
% 0.74/1.55 , clause( 16, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.74/1.55 , 1, clause( 15394, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.74/1.55 :=( X, implies( X, X ) ), :=( Y, X )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 15539, [ theorem( implies( X, X ) ) ] )
% 0.74/1.55 , clause( 15619, [ theorem( implies( X, X ) ) ] )
% 0.74/1.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 resolution(
% 0.74/1.55 clause( 15620, [] )
% 0.74/1.55 , clause( 6023, [ ~( theorem( implies( not( p ), not( p ) ) ) ) ] )
% 0.74/1.55 , 0, clause( 15539, [ theorem( implies( X, X ) ) ] )
% 0.74/1.55 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, not( p ) )] )).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 subsumption(
% 0.74/1.55 clause( 15580, [] )
% 0.74/1.55 , clause( 15620, [] )
% 0.74/1.55 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 end.
% 0.74/1.55
% 0.74/1.55 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.55
% 0.74/1.55 Memory use:
% 0.74/1.55
% 0.74/1.55 space for terms: 241021
% 0.74/1.55 space for clauses: 742670
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 clauses generated: 34473
% 0.74/1.55 clauses kept: 15581
% 0.74/1.55 clauses selected: 375
% 0.74/1.55 clauses deleted: 14
% 0.74/1.55 clauses inuse deleted: 1
% 0.74/1.55
% 0.74/1.55 subsentry: 407522
% 0.74/1.55 literals s-matched: 181591
% 0.74/1.55 literals matched: 171717
% 0.74/1.55 full subsumption: 77616
% 0.74/1.55
% 0.74/1.55 checksum: 108538903
% 0.74/1.55
% 0.74/1.55
% 0.74/1.55 Bliksem ended
%------------------------------------------------------------------------------