TSTP Solution File: FLD010-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 01:50:54 EDT 2022
% Result : Unsatisfiable 0.88s 1.26s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n017.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 Jun 6 23:49:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.88/1.26 *** allocated 10000 integers for termspace/termends
% 0.88/1.26 *** allocated 10000 integers for clauses
% 0.88/1.26 *** allocated 10000 integers for justifications
% 0.88/1.26 Bliksem 1.12
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 Automatic Strategy Selection
% 0.88/1.26
% 0.88/1.26 Clauses:
% 0.88/1.26 [
% 0.88/1.26 [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ), ~( defined(
% 0.88/1.26 X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ],
% 0.88/1.26 [ equalish( add( 'additive_identity', X ), X ), ~( defined( X ) ) ],
% 0.88/1.26 [ equalish( add( X, 'additive_inverse'( X ) ), 'additive_identity' ),
% 0.88/1.26 ~( defined( X ) ) ],
% 0.88/1.26 [ equalish( add( X, Y ), add( Y, X ) ), ~( defined( X ) ), ~( defined( Y
% 0.88/1.26 ) ) ],
% 0.88/1.26 [ equalish( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.88/1.26 , Z ) ), ~( defined( X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ],
% 0.88/1.26 [ equalish( multiply( 'multiplicative_identity', X ), X ), ~( defined( X
% 0.88/1.26 ) ) ],
% 0.88/1.26 [ equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.88/1.26 'multiplicative_identity' ), ~( defined( X ) ), equalish( X,
% 0.88/1.26 'additive_identity' ) ],
% 0.88/1.26 [ equalish( multiply( X, Y ), multiply( Y, X ) ), ~( defined( X ) ), ~(
% 0.88/1.26 defined( Y ) ) ],
% 0.88/1.26 [ equalish( add( multiply( X, Y ), multiply( Z, Y ) ), multiply( add( X
% 0.88/1.26 , Z ), Y ) ), ~( defined( X ) ), ~( defined( Z ) ), ~( defined( Y ) ) ]
% 0.88/1.26 ,
% 0.88/1.26 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.88/1.26 [ defined( 'additive_identity' ) ],
% 0.88/1.26 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.88/1.26 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.88/1.26 ,
% 0.88/1.26 [ defined( 'multiplicative_identity' ) ],
% 0.88/1.26 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), equalish(
% 0.88/1.26 X, 'additive_identity' ) ],
% 0.88/1.26 [ equalish( X, Y ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( Y
% 0.88/1.26 , X ) ) ],
% 0.88/1.26 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.88/1.26 'less_or_equal'( Z, Y ) ) ],
% 0.88/1.26 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.88/1.26 ~( defined( Y ) ) ],
% 0.88/1.26 [ 'less_or_equal'( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ), ~(
% 0.88/1.26 'less_or_equal'( X, Z ) ) ],
% 0.88/1.26 [ 'less_or_equal'( 'additive_identity', multiply( X, Y ) ), ~(
% 0.88/1.26 'less_or_equal'( 'additive_identity', X ) ), ~( 'less_or_equal'(
% 0.88/1.26 'additive_identity', Y ) ) ],
% 0.88/1.26 [ equalish( X, X ), ~( defined( X ) ) ],
% 0.88/1.26 [ equalish( X, Y ), ~( equalish( Y, X ) ) ],
% 0.88/1.26 [ equalish( X, Y ), ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ) ],
% 0.88/1.26 [ equalish( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ), ~( equalish(
% 0.88/1.26 X, Z ) ) ],
% 0.88/1.26 [ equalish( multiply( X, Y ), multiply( Z, Y ) ), ~( defined( Y ) ), ~(
% 0.88/1.26 equalish( X, Z ) ) ],
% 0.88/1.26 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, Y ) ), ~( equalish( Z
% 0.88/1.26 , X ) ) ],
% 0.88/1.26 [ ~( equalish( 'additive_identity', 'multiplicative_identity' ) ) ],
% 0.88/1.26 [ ~( equalish( 'multiplicative_inverse'( 'multiplicative_identity' ),
% 0.88/1.26 'multiplicative_identity' ) ) ]
% 0.88/1.26 ] .
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 percentage equality = 0.000000, percentage horn = 0.892857
% 0.88/1.26 This a non-horn, non-equality problem
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 Options Used:
% 0.88/1.26
% 0.88/1.26 useres = 1
% 0.88/1.26 useparamod = 0
% 0.88/1.26 useeqrefl = 0
% 0.88/1.26 useeqfact = 0
% 0.88/1.26 usefactor = 1
% 0.88/1.26 usesimpsplitting = 0
% 0.88/1.26 usesimpdemod = 0
% 0.88/1.26 usesimpres = 3
% 0.88/1.26
% 0.88/1.26 resimpinuse = 1000
% 0.88/1.26 resimpclauses = 20000
% 0.88/1.26 substype = standard
% 0.88/1.26 backwardsubs = 1
% 0.88/1.26 selectoldest = 5
% 0.88/1.26
% 0.88/1.26 litorderings [0] = split
% 0.88/1.26 litorderings [1] = liftord
% 0.88/1.26
% 0.88/1.26 termordering = none
% 0.88/1.26
% 0.88/1.26 litapriori = 1
% 0.88/1.26 termapriori = 0
% 0.88/1.26 litaposteriori = 0
% 0.88/1.26 termaposteriori = 0
% 0.88/1.26 demodaposteriori = 0
% 0.88/1.26 ordereqreflfact = 0
% 0.88/1.26
% 0.88/1.26 litselect = none
% 0.88/1.26
% 0.88/1.26 maxweight = 15
% 0.88/1.26 maxdepth = 30000
% 0.88/1.26 maxlength = 115
% 0.88/1.26 maxnrvars = 195
% 0.88/1.26 excuselevel = 1
% 0.88/1.26 increasemaxweight = 1
% 0.88/1.26
% 0.88/1.26 maxselected = 10000000
% 0.88/1.26 maxnrclauses = 10000000
% 0.88/1.26
% 0.88/1.26 showgenerated = 0
% 0.88/1.26 showkept = 0
% 0.88/1.26 showselected = 0
% 0.88/1.26 showdeleted = 0
% 0.88/1.26 showresimp = 1
% 0.88/1.26 showstatus = 2000
% 0.88/1.26
% 0.88/1.26 prologoutput = 1
% 0.88/1.26 nrgoals = 5000000
% 0.88/1.26 totalproof = 1
% 0.88/1.26
% 0.88/1.26 Symbols occurring in the translation:
% 0.88/1.26
% 0.88/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.26 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.88/1.26 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.88/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.26 add [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.88/1.26 equalish [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.88/1.26 defined [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.88/1.26 'additive_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.88/1.26 'additive_inverse' [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.88/1.26 multiply [47, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.88/1.26 'multiplicative_identity' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.88/1.26 'multiplicative_inverse' [49, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.88/1.26 'less_or_equal' [50, 2] (w:1, o:49, a:1, s:1, b:0).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 Starting Search:
% 0.88/1.26
% 0.88/1.26 Resimplifying inuse:
% 0.88/1.26 Done
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 Intermediate Status:
% 0.88/1.26 Generated: 2457
% 0.88/1.26 Kept: 2014
% 0.88/1.26 Inuse: 153
% 0.88/1.26 Deleted: 0
% 0.88/1.26 Deletedinuse: 0
% 0.88/1.26
% 0.88/1.26 Resimplifying inuse:
% 0.88/1.26 Done
% 0.88/1.26
% 0.88/1.26 Resimplifying inuse:
% 0.88/1.26 Done
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 Intermediate Status:
% 0.88/1.26 Generated: 4892
% 0.88/1.26 Kept: 4017
% 0.88/1.26 Inuse: 267
% 0.88/1.26 Deleted: 0
% 0.88/1.26 Deletedinuse: 0
% 0.88/1.26
% 0.88/1.26 Resimplifying inuse:
% 0.88/1.26 Done
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 Bliksems!, er is een bewijs:
% 0.88/1.26 % SZS status Unsatisfiable
% 0.88/1.26 % SZS output start Refutation
% 0.88/1.26
% 0.88/1.26 clause( 5, [ ~( defined( X ) ), equalish( multiply(
% 0.88/1.26 'multiplicative_identity', X ), X ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 6, [ ~( defined( X ) ), equalish( X, 'additive_identity' ),
% 0.88/1.26 equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.88/1.26 'multiplicative_identity' ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 13, [ defined( 'multiplicative_identity' ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 14, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ),
% 0.88/1.26 equalish( X, 'additive_identity' ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 22, [ ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ), equalish( X, Y
% 0.88/1.26 ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 26, [ ~( equalish( 'additive_identity', 'multiplicative_identity' )
% 0.88/1.26 ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 27, [ ~( equalish( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ), 'multiplicative_identity' ) ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 59, [ ~( equalish( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 60, [ ~( equalish( 'multiplicative_identity', 'additive_identity' )
% 0.88/1.26 ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 533, [ defined( 'multiplicative_inverse'( 'multiplicative_identity'
% 0.88/1.26 ) ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 1132, [ ~( equalish( X, 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ), ~( equalish( 'multiplicative_identity',
% 0.88/1.26 X ) ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 4181, [ ~( equalish( 'multiplicative_identity', multiply(
% 0.88/1.26 'multiplicative_identity', 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 4192, [ ~( equalish( multiply( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ),
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 4194, [ equalish( 'multiplicative_identity', 'additive_identity' )
% 0.88/1.26 ] )
% 0.88/1.26 .
% 0.88/1.26 clause( 4195, [] )
% 0.88/1.26 .
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 % SZS output end Refutation
% 0.88/1.26 found a proof!
% 0.88/1.26
% 0.88/1.26 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.88/1.26
% 0.88/1.26 initialclauses(
% 0.88/1.26 [ clause( 4197, [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) )
% 0.88/1.26 , ~( defined( X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ] )
% 0.88/1.26 , clause( 4198, [ equalish( add( 'additive_identity', X ), X ), ~( defined(
% 0.88/1.26 X ) ) ] )
% 0.88/1.26 , clause( 4199, [ equalish( add( X, 'additive_inverse'( X ) ),
% 0.88/1.26 'additive_identity' ), ~( defined( X ) ) ] )
% 0.88/1.26 , clause( 4200, [ equalish( add( X, Y ), add( Y, X ) ), ~( defined( X ) ),
% 0.88/1.26 ~( defined( Y ) ) ] )
% 0.88/1.26 , clause( 4201, [ equalish( multiply( X, multiply( Y, Z ) ), multiply(
% 0.88/1.26 multiply( X, Y ), Z ) ), ~( defined( X ) ), ~( defined( Y ) ), ~( defined(
% 0.88/1.26 Z ) ) ] )
% 0.88/1.26 , clause( 4202, [ equalish( multiply( 'multiplicative_identity', X ), X ),
% 0.88/1.26 ~( defined( X ) ) ] )
% 0.88/1.26 , clause( 4203, [ equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.88/1.26 'multiplicative_identity' ), ~( defined( X ) ), equalish( X,
% 0.88/1.26 'additive_identity' ) ] )
% 0.88/1.26 , clause( 4204, [ equalish( multiply( X, Y ), multiply( Y, X ) ), ~(
% 0.88/1.26 defined( X ) ), ~( defined( Y ) ) ] )
% 0.88/1.26 , clause( 4205, [ equalish( add( multiply( X, Y ), multiply( Z, Y ) ),
% 0.88/1.26 multiply( add( X, Z ), Y ) ), ~( defined( X ) ), ~( defined( Z ) ), ~(
% 0.88/1.26 defined( Y ) ) ] )
% 0.88/1.26 , clause( 4206, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.88/1.26 ) ) ] )
% 0.88/1.26 , clause( 4207, [ defined( 'additive_identity' ) ] )
% 0.88/1.26 , clause( 4208, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.88/1.26 )
% 0.88/1.26 , clause( 4209, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.88/1.26 defined( Y ) ) ] )
% 0.88/1.26 , clause( 4210, [ defined( 'multiplicative_identity' ) ] )
% 0.88/1.26 , clause( 4211, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.88/1.26 ), equalish( X, 'additive_identity' ) ] )
% 0.88/1.26 , clause( 4212, [ equalish( X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.88/1.26 'less_or_equal'( Y, X ) ) ] )
% 0.88/1.26 , clause( 4213, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 0.88/1.26 ~( 'less_or_equal'( Z, Y ) ) ] )
% 0.88/1.26 , clause( 4214, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.88/1.26 defined( X ) ), ~( defined( Y ) ) ] )
% 0.88/1.26 , clause( 4215, [ 'less_or_equal'( add( X, Y ), add( Z, Y ) ), ~( defined(
% 0.88/1.26 Y ) ), ~( 'less_or_equal'( X, Z ) ) ] )
% 0.88/1.26 , clause( 4216, [ 'less_or_equal'( 'additive_identity', multiply( X, Y ) )
% 0.88/1.26 , ~( 'less_or_equal'( 'additive_identity', X ) ), ~( 'less_or_equal'(
% 0.88/1.26 'additive_identity', Y ) ) ] )
% 0.88/1.26 , clause( 4217, [ equalish( X, X ), ~( defined( X ) ) ] )
% 0.88/1.26 , clause( 4218, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.88/1.26 , clause( 4219, [ equalish( X, Y ), ~( equalish( X, Z ) ), ~( equalish( Z,
% 0.88/1.26 Y ) ) ] )
% 0.88/1.26 , clause( 4220, [ equalish( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ),
% 0.88/1.26 ~( equalish( X, Z ) ) ] )
% 0.88/1.26 , clause( 4221, [ equalish( multiply( X, Y ), multiply( Z, Y ) ), ~(
% 0.88/1.26 defined( Y ) ), ~( equalish( X, Z ) ) ] )
% 0.88/1.26 , clause( 4222, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, Y ) ),
% 0.88/1.26 ~( equalish( Z, X ) ) ] )
% 0.88/1.26 , clause( 4223, [ ~( equalish( 'additive_identity',
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , clause( 4224, [ ~( equalish( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ), 'multiplicative_identity' ) ) ] )
% 0.88/1.26 ] ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 5, [ ~( defined( X ) ), equalish( multiply(
% 0.88/1.26 'multiplicative_identity', X ), X ) ] )
% 0.88/1.26 , clause( 4202, [ equalish( multiply( 'multiplicative_identity', X ), X ),
% 0.88/1.26 ~( defined( X ) ) ] )
% 0.88/1.26 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.88/1.26 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 6, [ ~( defined( X ) ), equalish( X, 'additive_identity' ),
% 0.88/1.26 equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.88/1.26 'multiplicative_identity' ) ] )
% 0.88/1.26 , clause( 4203, [ equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.88/1.26 'multiplicative_identity' ), ~( defined( X ) ), equalish( X,
% 0.88/1.26 'additive_identity' ) ] )
% 0.88/1.26 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.88/1.26 0 ), ==>( 2, 1 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 13, [ defined( 'multiplicative_identity' ) ] )
% 0.88/1.26 , clause( 4210, [ defined( 'multiplicative_identity' ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 14, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ),
% 0.88/1.26 equalish( X, 'additive_identity' ) ] )
% 0.88/1.26 , clause( 4211, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.88/1.26 ), equalish( X, 'additive_identity' ) ] )
% 0.88/1.26 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.88/1.26 1 ), ==>( 2, 2 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.88/1.26 , clause( 4218, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.88/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.88/1.26 ), ==>( 1, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 22, [ ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ), equalish( X, Y
% 0.88/1.26 ) ] )
% 0.88/1.26 , clause( 4219, [ equalish( X, Y ), ~( equalish( X, Z ) ), ~( equalish( Z,
% 0.88/1.26 Y ) ) ] )
% 0.88/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.26 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 26, [ ~( equalish( 'additive_identity', 'multiplicative_identity' )
% 0.88/1.26 ) ] )
% 0.88/1.26 , clause( 4223, [ ~( equalish( 'additive_identity',
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 27, [ ~( equalish( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ), 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , clause( 4224, [ ~( equalish( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ), 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4362, [ ~( equalish( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.88/1.26 , clause( 27, [ ~( equalish( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ), 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , 0, clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.88/1.26 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ), :=( Y,
% 0.88/1.26 'multiplicative_identity' )] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 59, [ ~( equalish( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.88/1.26 , clause( 4362, [ ~( equalish( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4363, [ ~( equalish( 'multiplicative_identity', 'additive_identity'
% 0.88/1.26 ) ) ] )
% 0.88/1.26 , clause( 26, [ ~( equalish( 'additive_identity', 'multiplicative_identity'
% 0.88/1.26 ) ) ] )
% 0.88/1.26 , 0, clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.88/1.26 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )
% 0.88/1.26 , :=( Y, 'multiplicative_identity' )] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 60, [ ~( equalish( 'multiplicative_identity', 'additive_identity' )
% 0.88/1.26 ) ] )
% 0.88/1.26 , clause( 4363, [ ~( equalish( 'multiplicative_identity',
% 0.88/1.26 'additive_identity' ) ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4364, [ defined( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ), ~( defined( 'multiplicative_identity' ) )
% 0.88/1.26 ] )
% 0.88/1.26 , clause( 60, [ ~( equalish( 'multiplicative_identity', 'additive_identity'
% 0.88/1.26 ) ) ] )
% 0.88/1.26 , 0, clause( 14, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X
% 0.88/1.26 ) ), equalish( X, 'additive_identity' ) ] )
% 0.88/1.26 , 2, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.88/1.26 'multiplicative_identity' )] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4365, [ defined( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , clause( 4364, [ defined( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ), ~( defined( 'multiplicative_identity' ) )
% 0.88/1.26 ] )
% 0.88/1.26 , 1, clause( 13, [ defined( 'multiplicative_identity' ) ] )
% 0.88/1.26 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 533, [ defined( 'multiplicative_inverse'( 'multiplicative_identity'
% 0.88/1.26 ) ) ] )
% 0.88/1.26 , clause( 4365, [ defined( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4366, [ ~( equalish( 'multiplicative_identity', X ) ), ~( equalish(
% 0.88/1.26 X, 'multiplicative_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.88/1.26 , clause( 59, [ ~( equalish( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.88/1.26 , 0, clause( 22, [ ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ), equalish(
% 0.88/1.26 X, Y ) ] )
% 0.88/1.26 , 2, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.88/1.26 'multiplicative_identity' ), :=( Y, 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ), :=( Z, X )] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 1132, [ ~( equalish( X, 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ), ~( equalish( 'multiplicative_identity',
% 0.88/1.26 X ) ) ] )
% 0.88/1.26 , clause( 4366, [ ~( equalish( 'multiplicative_identity', X ) ), ~(
% 0.88/1.26 equalish( X, 'multiplicative_inverse'( 'multiplicative_identity' ) ) ) ]
% 0.88/1.26 )
% 0.88/1.26 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.88/1.26 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4367, [ ~( equalish( 'multiplicative_identity', multiply(
% 0.88/1.26 'multiplicative_identity', 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ), ~( defined( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ] )
% 0.88/1.26 , clause( 1132, [ ~( equalish( X, 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ), ~( equalish( 'multiplicative_identity',
% 0.88/1.26 X ) ) ] )
% 0.88/1.26 , 0, clause( 5, [ ~( defined( X ) ), equalish( multiply(
% 0.88/1.26 'multiplicative_identity', X ), X ) ] )
% 0.88/1.26 , 1, substitution( 0, [ :=( X, multiply( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ) )] ),
% 0.88/1.26 substitution( 1, [ :=( X, 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) )] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4368, [ ~( equalish( 'multiplicative_identity', multiply(
% 0.88/1.26 'multiplicative_identity', 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ) ] )
% 0.88/1.26 , clause( 4367, [ ~( equalish( 'multiplicative_identity', multiply(
% 0.88/1.26 'multiplicative_identity', 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ), ~( defined( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ] )
% 0.88/1.26 , 1, clause( 533, [ defined( 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 4181, [ ~( equalish( 'multiplicative_identity', multiply(
% 0.88/1.26 'multiplicative_identity', 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ) ] )
% 0.88/1.26 , clause( 4368, [ ~( equalish( 'multiplicative_identity', multiply(
% 0.88/1.26 'multiplicative_identity', 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4369, [ ~( equalish( multiply( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ),
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , clause( 4181, [ ~( equalish( 'multiplicative_identity', multiply(
% 0.88/1.26 'multiplicative_identity', 'multiplicative_inverse'(
% 0.88/1.26 'multiplicative_identity' ) ) ) ) ] )
% 0.88/1.26 , 0, clause( 21, [ ~( equalish( Y, X ) ), equalish( X, Y ) ] )
% 0.88/1.26 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.88/1.26 'multiplicative_identity' ), :=( Y, multiply( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ) )] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 4192, [ ~( equalish( multiply( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ),
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , clause( 4369, [ ~( equalish( multiply( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ),
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4370, [ ~( defined( 'multiplicative_identity' ) ), equalish(
% 0.88/1.26 'multiplicative_identity', 'additive_identity' ) ] )
% 0.88/1.26 , clause( 4192, [ ~( equalish( multiply( 'multiplicative_identity',
% 0.88/1.26 'multiplicative_inverse'( 'multiplicative_identity' ) ),
% 0.88/1.26 'multiplicative_identity' ) ) ] )
% 0.88/1.26 , 0, clause( 6, [ ~( defined( X ) ), equalish( X, 'additive_identity' ),
% 0.88/1.26 equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.88/1.26 'multiplicative_identity' ) ] )
% 0.88/1.26 , 2, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.88/1.26 'multiplicative_identity' )] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4371, [ equalish( 'multiplicative_identity', 'additive_identity' )
% 0.88/1.26 ] )
% 0.88/1.26 , clause( 4370, [ ~( defined( 'multiplicative_identity' ) ), equalish(
% 0.88/1.26 'multiplicative_identity', 'additive_identity' ) ] )
% 0.88/1.26 , 0, clause( 13, [ defined( 'multiplicative_identity' ) ] )
% 0.88/1.26 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 4194, [ equalish( 'multiplicative_identity', 'additive_identity' )
% 0.88/1.26 ] )
% 0.88/1.26 , clause( 4371, [ equalish( 'multiplicative_identity', 'additive_identity'
% 0.88/1.26 ) ] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 resolution(
% 0.88/1.26 clause( 4372, [] )
% 0.88/1.26 , clause( 60, [ ~( equalish( 'multiplicative_identity', 'additive_identity'
% 0.88/1.26 ) ) ] )
% 0.88/1.26 , 0, clause( 4194, [ equalish( 'multiplicative_identity',
% 0.88/1.26 'additive_identity' ) ] )
% 0.88/1.26 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 subsumption(
% 0.88/1.26 clause( 4195, [] )
% 0.88/1.26 , clause( 4372, [] )
% 0.88/1.26 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 end.
% 0.88/1.26
% 0.88/1.26 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.88/1.26
% 0.88/1.26 Memory use:
% 0.88/1.26
% 0.88/1.26 space for terms: 42337
% 0.88/1.26 space for clauses: 240274
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 clauses generated: 5132
% 0.88/1.26 clauses kept: 4196
% 0.88/1.26 clauses selected: 287
% 0.88/1.26 clauses deleted: 1
% 0.88/1.26 clauses inuse deleted: 0
% 0.88/1.26
% 0.88/1.26 subsentry: 7518
% 0.88/1.26 literals s-matched: 3003
% 0.88/1.26 literals matched: 2257
% 0.88/1.26 full subsumption: 864
% 0.88/1.26
% 0.88/1.26 checksum: 843046723
% 0.88/1.26
% 0.88/1.26
% 0.88/1.26 Bliksem ended
%------------------------------------------------------------------------------