%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD006-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Sat Jul 16 01:50:52 EDT 2022
% Result : Unsatisfiable 0.75s 1.28s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD006-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % 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 Jun 6 18:52:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.28 *** allocated 10000 integers for termspace/termends
% 0.75/1.28 *** allocated 10000 integers for clauses
% 0.75/1.28 *** allocated 10000 integers for justifications
% 0.75/1.28 Bliksem 1.12
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 Automatic Strategy Selection
% 0.75/1.28
% 0.75/1.28 Clauses:
% 0.75/1.28 [
% 0.75/1.28 [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ), ~( defined(
% 0.75/1.28 X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ],
% 0.75/1.28 [ equalish( add( 'additive_identity', X ), X ), ~( defined( X ) ) ],
% 0.75/1.28 [ equalish( add( X, 'additive_inverse'( X ) ), 'additive_identity' ),
% 0.75/1.28 ~( defined( X ) ) ],
% 0.75/1.28 [ equalish( add( X, Y ), add( Y, X ) ), ~( defined( X ) ), ~( defined( Y
% 0.75/1.28 ) ) ],
% 0.75/1.28 [ equalish( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.75/1.28 , Z ) ), ~( defined( X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ],
% 0.75/1.28 [ equalish( multiply( 'multiplicative_identity', X ), X ), ~( defined( X
% 0.75/1.28 ) ) ],
% 0.75/1.28 [ equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.75/1.28 'multiplicative_identity' ), ~( defined( X ) ), equalish( X,
% 0.75/1.28 'additive_identity' ) ],
% 0.75/1.28 [ equalish( multiply( X, Y ), multiply( Y, X ) ), ~( defined( X ) ), ~(
% 0.75/1.28 defined( Y ) ) ],
% 0.75/1.28 [ equalish( add( multiply( X, Y ), multiply( Z, Y ) ), multiply( add( X
% 0.75/1.28 , Z ), Y ) ), ~( defined( X ) ), ~( defined( Z ) ), ~( defined( Y ) ) ]
% 0.75/1.28 ,
% 0.75/1.28 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.75/1.28 [ defined( 'additive_identity' ) ],
% 0.75/1.28 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.75/1.28 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.75/1.28 ,
% 0.75/1.28 [ defined( 'multiplicative_identity' ) ],
% 0.75/1.28 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), equalish(
% 0.75/1.28 X, 'additive_identity' ) ],
% 0.75/1.28 [ equalish( X, Y ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( Y
% 0.75/1.28 , X ) ) ],
% 0.75/1.28 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.75/1.28 'less_or_equal'( Z, Y ) ) ],
% 0.75/1.28 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.75/1.28 ~( defined( Y ) ) ],
% 0.75/1.28 [ 'less_or_equal'( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ), ~(
% 0.75/1.28 'less_or_equal'( X, Z ) ) ],
% 0.75/1.28 [ 'less_or_equal'( 'additive_identity', multiply( X, Y ) ), ~(
% 0.75/1.28 'less_or_equal'( 'additive_identity', X ) ), ~( 'less_or_equal'(
% 0.75/1.28 'additive_identity', Y ) ) ],
% 0.75/1.28 [ equalish( X, X ), ~( defined( X ) ) ],
% 0.75/1.28 [ equalish( X, Y ), ~( equalish( Y, X ) ) ],
% 0.75/1.28 [ equalish( X, Y ), ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ) ],
% 0.75/1.28 [ equalish( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ), ~( equalish(
% 0.75/1.28 X, Z ) ) ],
% 0.75/1.28 [ equalish( multiply( X, Y ), multiply( Z, Y ) ), ~( defined( Y ) ), ~(
% 0.75/1.28 equalish( X, Z ) ) ],
% 0.75/1.28 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, Y ) ), ~( equalish( Z
% 0.75/1.28 , X ) ) ],
% 0.75/1.28 [ ~( equalish( 'additive_identity', 'multiplicative_identity' ) ) ],
% 0.75/1.28 [ ~( equalish( 'additive_inverse'( 'additive_identity' ),
% 0.75/1.28 'additive_identity' ) ) ]
% 0.75/1.28 ] .
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 percentage equality = 0.000000, percentage horn = 0.892857
% 0.75/1.28 This a non-horn, non-equality problem
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 Options Used:
% 0.75/1.28
% 0.75/1.28 useres = 1
% 0.75/1.28 useparamod = 0
% 0.75/1.28 useeqrefl = 0
% 0.75/1.28 useeqfact = 0
% 0.75/1.28 usefactor = 1
% 0.75/1.28 usesimpsplitting = 0
% 0.75/1.28 usesimpdemod = 0
% 0.75/1.28 usesimpres = 3
% 0.75/1.28
% 0.75/1.28 resimpinuse = 1000
% 0.75/1.28 resimpclauses = 20000
% 0.75/1.28 substype = standard
% 0.75/1.28 backwardsubs = 1
% 0.75/1.28 selectoldest = 5
% 0.75/1.28
% 0.75/1.28 litorderings [0] = split
% 0.75/1.28 litorderings [1] = liftord
% 0.75/1.28
% 0.75/1.28 termordering = none
% 0.75/1.28
% 0.75/1.28 litapriori = 1
% 0.75/1.28 termapriori = 0
% 0.75/1.28 litaposteriori = 0
% 0.75/1.28 termaposteriori = 0
% 0.75/1.28 demodaposteriori = 0
% 0.75/1.28 ordereqreflfact = 0
% 0.75/1.28
% 0.75/1.28 litselect = none
% 0.75/1.28
% 0.75/1.28 maxweight = 15
% 0.75/1.28 maxdepth = 30000
% 0.75/1.28 maxlength = 115
% 0.75/1.28 maxnrvars = 195
% 0.75/1.28 excuselevel = 1
% 0.75/1.28 increasemaxweight = 1
% 0.75/1.28
% 0.75/1.28 maxselected = 10000000
% 0.75/1.28 maxnrclauses = 10000000
% 0.75/1.28
% 0.75/1.28 showgenerated = 0
% 0.75/1.28 showkept = 0
% 0.75/1.28 showselected = 0
% 0.75/1.28 showdeleted = 0
% 0.75/1.28 showresimp = 1
% 0.75/1.28 showstatus = 2000
% 0.75/1.28
% 0.75/1.28 prologoutput = 1
% 0.75/1.28 nrgoals = 5000000
% 0.75/1.28 totalproof = 1
% 0.75/1.28
% 0.75/1.28 Symbols occurring in the translation:
% 0.75/1.28
% 0.75/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.28 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.28 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.75/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.28 add [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.28 equalish [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.28 defined [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.75/1.28 'additive_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.28 'additive_inverse' [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.28 multiply [47, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.28 'multiplicative_identity' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.28 'multiplicative_inverse' [49, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.28 'less_or_equal' [50, 2] (w:1, o:49, a:1, s:1, b:0).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 Starting Search:
% 0.75/1.28
% 0.75/1.28 Resimplifying inuse:
% 0.75/1.28 Done
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 Intermediate Status:
% 0.75/1.28 Generated: 2458
% 0.75/1.28 Kept: 2014
% 0.75/1.28 Inuse: 153
% 0.75/1.28 Deleted: 0
% 0.75/1.28 Deletedinuse: 0
% 0.75/1.28
% 0.75/1.28 Resimplifying inuse:
% 0.75/1.28 Done
% 0.75/1.28
% 0.75/1.28 Resimplifying inuse:
% 0.75/1.28 Done
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 Intermediate Status:
% 0.75/1.28 Generated: 4893
% 0.75/1.28 Kept: 4024
% 0.75/1.28 Inuse: 267
% 0.75/1.28 Deleted: 0
% 0.75/1.28 Deletedinuse: 0
% 0.75/1.28
% 0.75/1.28 Resimplifying inuse:
% 0.75/1.28 Done
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 Bliksems!, er is een bewijs:
% 0.75/1.28 % SZS status Unsatisfiable
% 0.75/1.28 % SZS output start Refutation
% 0.75/1.28
% 0.75/1.28 clause( 1, [ ~( defined( X ) ), equalish( add( 'additive_identity', X ), X
% 0.75/1.28 ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 2, [ ~( defined( X ) ), equalish( add( X, 'additive_inverse'( X ) )
% 0.75/1.28 , 'additive_identity' ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 10, [ defined( 'additive_identity' ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 11, [ ~( defined( X ) ), defined( 'additive_inverse'( X ) ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 22, [ ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ), equalish( X, Y
% 0.75/1.28 ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 27, [ ~( equalish( 'additive_inverse'( 'additive_identity' ),
% 0.75/1.28 'additive_identity' ) ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 48, [ defined( 'additive_inverse'( 'additive_identity' ) ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 56, [ ~( defined( X ) ), equalish( 'additive_identity', add( X,
% 0.75/1.28 'additive_inverse'( X ) ) ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 59, [ ~( equalish( 'additive_identity', 'additive_inverse'(
% 0.75/1.28 'additive_identity' ) ) ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 1133, [ ~( equalish( X, 'additive_inverse'( 'additive_identity' ) )
% 0.75/1.28 ), ~( equalish( 'additive_identity', X ) ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 4404, [ ~( equalish( 'additive_identity', add( 'additive_identity'
% 0.75/1.28 , 'additive_inverse'( 'additive_identity' ) ) ) ) ] )
% 0.75/1.28 .
% 0.75/1.28 clause( 4446, [] )
% 0.75/1.28 .
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 % SZS output end Refutation
% 0.75/1.28 found a proof!
% 0.75/1.28
% 0.75/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.28
% 0.75/1.28 initialclauses(
% 0.75/1.28 [ clause( 4448, [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) )
% 0.75/1.28 , ~( defined( X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ] )
% 0.75/1.28 , clause( 4449, [ equalish( add( 'additive_identity', X ), X ), ~( defined(
% 0.75/1.28 X ) ) ] )
% 0.75/1.28 , clause( 4450, [ equalish( add( X, 'additive_inverse'( X ) ),
% 0.75/1.28 'additive_identity' ), ~( defined( X ) ) ] )
% 0.75/1.28 , clause( 4451, [ equalish( add( X, Y ), add( Y, X ) ), ~( defined( X ) ),
% 0.75/1.28 ~( defined( Y ) ) ] )
% 0.75/1.28 , clause( 4452, [ equalish( multiply( X, multiply( Y, Z ) ), multiply(
% 0.75/1.28 multiply( X, Y ), Z ) ), ~( defined( X ) ), ~( defined( Y ) ), ~( defined(
% 0.75/1.28 Z ) ) ] )
% 0.75/1.28 , clause( 4453, [ equalish( multiply( 'multiplicative_identity', X ), X ),
% 0.75/1.28 ~( defined( X ) ) ] )
% 0.75/1.28 , clause( 4454, [ equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.75/1.28 'multiplicative_identity' ), ~( defined( X ) ), equalish( X,
% 0.75/1.28 'additive_identity' ) ] )
% 0.75/1.28 , clause( 4455, [ equalish( multiply( X, Y ), multiply( Y, X ) ), ~(
% 0.75/1.28 defined( X ) ), ~( defined( Y ) ) ] )
% 0.75/1.28 , clause( 4456, [ equalish( add( multiply( X, Y ), multiply( Z, Y ) ),
% 0.75/1.28 multiply( add( X, Z ), Y ) ), ~( defined( X ) ), ~( defined( Z ) ), ~(
% 0.75/1.28 defined( Y ) ) ] )
% 0.75/1.28 , clause( 4457, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.75/1.28 ) ) ] )
% 0.75/1.28 , clause( 4458, [ defined( 'additive_identity' ) ] )
% 0.75/1.28 , clause( 4459, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.75/1.28 )
% 0.75/1.28 , clause( 4460, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.75/1.28 defined( Y ) ) ] )
% 0.75/1.28 , clause( 4461, [ defined( 'multiplicative_identity' ) ] )
% 0.75/1.28 , clause( 4462, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.75/1.28 ), equalish( X, 'additive_identity' ) ] )
% 0.75/1.28 , clause( 4463, [ equalish( X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.75/1.28 'less_or_equal'( Y, X ) ) ] )
% 0.75/1.28 , clause( 4464, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 0.75/1.28 ~( 'less_or_equal'( Z, Y ) ) ] )
% 0.75/1.28 , clause( 4465, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.75/1.28 defined( X ) ), ~( defined( Y ) ) ] )
% 0.75/1.28 , clause( 4466, [ 'less_or_equal'( add( X, Y ), add( Z, Y ) ), ~( defined(
% 0.75/1.28 Y ) ), ~( 'less_or_equal'( X, Z ) ) ] )
% 0.75/1.28 , clause( 4467, [ 'less_or_equal'( 'additive_identity', multiply( X, Y ) )
% 0.75/1.28 , ~( 'less_or_equal'( 'additive_identity', X ) ), ~( 'less_or_equal'(
% 0.75/1.28 'additive_identity', Y ) ) ] )
% 0.75/1.28 , clause( 4468, [ equalish( X, X ), ~( defined( X ) ) ] )
% 0.75/1.28 , clause( 4469, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.75/1.28 , clause( 4470, [ equalish( X, Y ), ~( equalish( X, Z ) ), ~( equalish( Z,
% 0.75/1.28 Y ) ) ] )
% 0.75/1.28 , clause( 4471, [ equalish( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ),
% 0.75/1.28 ~( equalish( X, Z ) ) ] )
% 0.75/1.28 , clause( 4472, [ equalish( multiply( X, Y ), multiply( Z, Y ) ), ~(
% 0.75/1.28 defined( Y ) ), ~( equalish( X, Z ) ) ] )
% 0.75/1.28 , clause( 4473, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, Y ) ),
% 0.75/1.28 ~( equalish( Z, X ) ) ] )
% 0.75/1.28 , clause( 4474, [ ~( equalish( 'additive_identity',
% 0.75/1.28 'multiplicative_identity' ) ) ] )
% 0.75/1.28 , clause( 4475, [ ~( equalish( 'additive_inverse'( 'additive_identity' ),
% 0.75/1.28 'additive_identity' ) ) ] )
% 0.75/1.28 ] ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 1, [ ~( defined( X ) ), equalish( add( 'additive_identity', X ), X
% 0.75/1.28 ) ] )
% 0.75/1.28 , clause( 4449, [ equalish( add( 'additive_identity', X ), X ), ~( defined(
% 0.75/1.28 X ) ) ] )
% 0.75/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.75/1.28 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 2, [ ~( defined( X ) ), equalish( add( X, 'additive_inverse'( X ) )
% 0.75/1.28 , 'additive_identity' ) ] )
% 0.75/1.28 , clause( 4450, [ equalish( add( X, 'additive_inverse'( X ) ),
% 0.75/1.28 'additive_identity' ), ~( defined( X ) ) ] )
% 0.75/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.75/1.28 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 10, [ defined( 'additive_identity' ) ] )
% 0.75/1.28 , clause( 4458, [ defined( 'additive_identity' ) ] )
% 0.75/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 11, [ ~( defined( X ) ), defined( 'additive_inverse'( X ) ) ] )
% 0.75/1.28 , clause( 4459, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.75/1.28 )
% 0.75/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.75/1.28 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.75/1.28 , clause( 4469, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.75/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.28 ), ==>( 1, 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 22, [ ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ), equalish( X, Y
% 0.75/1.28 ) ] )
% 0.75/1.28 , clause( 4470, [ equalish( X, Y ), ~( equalish( X, Z ) ), ~( equalish( Z,
% 0.75/1.28 Y ) ) ] )
% 0.75/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.28 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 27, [ ~( equalish( 'additive_inverse'( 'additive_identity' ),
% 0.75/1.28 'additive_identity' ) ) ] )
% 0.75/1.28 , clause( 4475, [ ~( equalish( 'additive_inverse'( 'additive_identity' ),
% 0.75/1.28 'additive_identity' ) ) ] )
% 0.75/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 resolution(
% 0.75/1.28 clause( 4579, [ defined( 'additive_inverse'( 'additive_identity' ) ) ] )
% 0.75/1.28 , clause( 11, [ ~( defined( X ) ), defined( 'additive_inverse'( X ) ) ] )
% 0.75/1.28 , 0, clause( 10, [ defined( 'additive_identity' ) ] )
% 0.75/1.28 , 0, substitution( 0, [ :=( X, 'additive_identity' )] ), substitution( 1, [] )
% 0.75/1.28 ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 48, [ defined( 'additive_inverse'( 'additive_identity' ) ) ] )
% 0.75/1.28 , clause( 4579, [ defined( 'additive_inverse'( 'additive_identity' ) ) ] )
% 0.75/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 resolution(
% 0.75/1.28 clause( 4580, [ equalish( 'additive_identity', add( X, 'additive_inverse'(
% 0.75/1.28 X ) ) ), ~( defined( X ) ) ] )
% 0.75/1.28 , clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.75/1.28 , 0, clause( 2, [ ~( defined( X ) ), equalish( add( X, 'additive_inverse'(
% 0.75/1.28 X ) ), 'additive_identity' ) ] )
% 0.75/1.28 , 1, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, add( X,
% 0.75/1.28 'additive_inverse'( X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 56, [ ~( defined( X ) ), equalish( 'additive_identity', add( X,
% 0.75/1.28 'additive_inverse'( X ) ) ) ] )
% 0.75/1.28 , clause( 4580, [ equalish( 'additive_identity', add( X, 'additive_inverse'(
% 0.75/1.28 X ) ) ), ~( defined( X ) ) ] )
% 0.75/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.75/1.28 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 resolution(
% 0.75/1.28 clause( 4581, [ ~( equalish( 'additive_identity', 'additive_inverse'(
% 0.75/1.28 'additive_identity' ) ) ) ] )
% 0.75/1.28 , clause( 27, [ ~( equalish( 'additive_inverse'( 'additive_identity' ),
% 0.75/1.28 'additive_identity' ) ) ] )
% 0.75/1.28 , 0, clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.75/1.28 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_inverse'(
% 0.75/1.28 'additive_identity' ) ), :=( Y, 'additive_identity' )] )).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 59, [ ~( equalish( 'additive_identity', 'additive_inverse'(
% 0.75/1.28 'additive_identity' ) ) ) ] )
% 0.75/1.28 , clause( 4581, [ ~( equalish( 'additive_identity', 'additive_inverse'(
% 0.75/1.28 'additive_identity' ) ) ) ] )
% 0.75/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 resolution(
% 0.75/1.28 clause( 4582, [ ~( equalish( 'additive_identity', X ) ), ~( equalish( X,
% 0.75/1.28 'additive_inverse'( 'additive_identity' ) ) ) ] )
% 0.75/1.28 , clause( 59, [ ~( equalish( 'additive_identity', 'additive_inverse'(
% 0.75/1.28 'additive_identity' ) ) ) ] )
% 0.75/1.28 , 0, clause( 22, [ ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ), equalish(
% 0.75/1.28 X, Y ) ] )
% 0.75/1.28 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )
% 0.75/1.28 , :=( Y, 'additive_inverse'( 'additive_identity' ) ), :=( Z, X )] )).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 1133, [ ~( equalish( X, 'additive_inverse'( 'additive_identity' ) )
% 0.75/1.28 ), ~( equalish( 'additive_identity', X ) ) ] )
% 0.75/1.28 , clause( 4582, [ ~( equalish( 'additive_identity', X ) ), ~( equalish( X,
% 0.75/1.28 'additive_inverse'( 'additive_identity' ) ) ) ] )
% 0.75/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.75/1.28 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 resolution(
% 0.75/1.28 clause( 4583, [ ~( equalish( 'additive_identity', add( 'additive_identity'
% 0.75/1.28 , 'additive_inverse'( 'additive_identity' ) ) ) ), ~( defined(
% 0.75/1.28 'additive_inverse'( 'additive_identity' ) ) ) ] )
% 0.75/1.28 , clause( 1133, [ ~( equalish( X, 'additive_inverse'( 'additive_identity' )
% 0.75/1.28 ) ), ~( equalish( 'additive_identity', X ) ) ] )
% 0.75/1.28 , 0, clause( 1, [ ~( defined( X ) ), equalish( add( 'additive_identity', X
% 0.75/1.28 ), X ) ] )
% 0.75/1.28 , 1, substitution( 0, [ :=( X, add( 'additive_identity', 'additive_inverse'(
% 0.75/1.28 'additive_identity' ) ) )] ), substitution( 1, [ :=( X,
% 0.75/1.28 'additive_inverse'( 'additive_identity' ) )] )).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 resolution(
% 0.75/1.28 clause( 4584, [ ~( equalish( 'additive_identity', add( 'additive_identity'
% 0.75/1.28 , 'additive_inverse'( 'additive_identity' ) ) ) ) ] )
% 0.75/1.28 , clause( 4583, [ ~( equalish( 'additive_identity', add(
% 0.75/1.28 'additive_identity', 'additive_inverse'( 'additive_identity' ) ) ) ), ~(
% 0.75/1.28 defined( 'additive_inverse'( 'additive_identity' ) ) ) ] )
% 0.75/1.28 , 1, clause( 48, [ defined( 'additive_inverse'( 'additive_identity' ) ) ]
% 0.75/1.28 )
% 0.75/1.28 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 4404, [ ~( equalish( 'additive_identity', add( 'additive_identity'
% 0.75/1.28 , 'additive_inverse'( 'additive_identity' ) ) ) ) ] )
% 0.75/1.28 , clause( 4584, [ ~( equalish( 'additive_identity', add(
% 0.75/1.28 'additive_identity', 'additive_inverse'( 'additive_identity' ) ) ) ) ] )
% 0.75/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 resolution(
% 0.75/1.28 clause( 4585, [ ~( defined( 'additive_identity' ) ) ] )
% 0.75/1.28 , clause( 4404, [ ~( equalish( 'additive_identity', add(
% 0.75/1.28 'additive_identity', 'additive_inverse'( 'additive_identity' ) ) ) ) ] )
% 0.75/1.28 , 0, clause( 56, [ ~( defined( X ) ), equalish( 'additive_identity', add( X
% 0.75/1.28 , 'additive_inverse'( X ) ) ) ] )
% 0.75/1.28 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )] )
% 0.75/1.28 ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 resolution(
% 0.75/1.28 clause( 4586, [] )
% 0.75/1.28 , clause( 4585, [ ~( defined( 'additive_identity' ) ) ] )
% 0.75/1.28 , 0, clause( 10, [ defined( 'additive_identity' ) ] )
% 0.75/1.28 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 subsumption(
% 0.75/1.28 clause( 4446, [] )
% 0.75/1.28 , clause( 4586, [] )
% 0.75/1.28 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 end.
% 0.75/1.28
% 0.75/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.28
% 0.75/1.28 Memory use:
% 0.75/1.28
% 0.75/1.28 space for terms: 44889
% 0.75/1.28 space for clauses: 255639
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 clauses generated: 5643
% 0.75/1.28 clauses kept: 4447
% 0.75/1.28 clauses selected: 302
% 0.75/1.28 clauses deleted: 0
% 0.75/1.28 clauses inuse deleted: 0
% 0.75/1.28
% 0.75/1.28 subsentry: 7774
% 0.75/1.28 literals s-matched: 3024
% 0.75/1.28 literals matched: 2293
% 0.75/1.28 full subsumption: 871
% 0.75/1.28
% 0.75/1.28 checksum: -1261700913
% 0.75/1.28
% 0.75/1.28
% 0.75/1.28 Bliksem ended
%------------------------------------------------------------------------------