TSTP Solution File: RNG014-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG014-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 : Mon Jul 18 20:16:06 EDT 2022
% Result : Unsatisfiable 0.71s 1.14s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG014-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.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 May 30 07:10:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.14 *** allocated 10000 integers for termspace/termends
% 0.71/1.14 *** allocated 10000 integers for clauses
% 0.71/1.14 *** allocated 10000 integers for justifications
% 0.71/1.14 Bliksem 1.12
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Automatic Strategy Selection
% 0.71/1.14
% 0.71/1.14 Clauses:
% 0.71/1.14 [
% 0.71/1.14 [ =( add( 'additive_identity', X ), X ) ],
% 0.71/1.14 [ =( add( X, 'additive_identity' ), X ) ],
% 0.71/1.14 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.71/1.14 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.71/1.14 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.71/1.14 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.71/1.14 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.71/1.14 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.71/1.14 ) ) ],
% 0.71/1.14 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.71/1.14 ) ) ],
% 0.71/1.14 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.71/1.14 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.71/1.14 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.71/1.14 ],
% 0.71/1.14 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 0.71/1.14 ],
% 0.71/1.14 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.71/1.14 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.71/1.14 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 0.71/1.14 multiply( X, Y ) ) ) ) ],
% 0.71/1.14 [ ~( =( multiply( a, 'additive_inverse'( b ) ), 'additive_inverse'(
% 0.71/1.14 multiply( a, b ) ) ) ) ]
% 0.71/1.14 ] .
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.14 This is a pure equality problem
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Options Used:
% 0.71/1.14
% 0.71/1.14 useres = 1
% 0.71/1.14 useparamod = 1
% 0.71/1.14 useeqrefl = 1
% 0.71/1.14 useeqfact = 1
% 0.71/1.14 usefactor = 1
% 0.71/1.14 usesimpsplitting = 0
% 0.71/1.14 usesimpdemod = 5
% 0.71/1.14 usesimpres = 3
% 0.71/1.14
% 0.71/1.14 resimpinuse = 1000
% 0.71/1.14 resimpclauses = 20000
% 0.71/1.14 substype = eqrewr
% 0.71/1.14 backwardsubs = 1
% 0.71/1.14 selectoldest = 5
% 0.71/1.14
% 0.71/1.14 litorderings [0] = split
% 0.71/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.14
% 0.71/1.14 termordering = kbo
% 0.71/1.14
% 0.71/1.14 litapriori = 0
% 0.71/1.14 termapriori = 1
% 0.71/1.14 litaposteriori = 0
% 0.71/1.14 termaposteriori = 0
% 0.71/1.14 demodaposteriori = 0
% 0.71/1.14 ordereqreflfact = 0
% 0.71/1.14
% 0.71/1.14 litselect = negord
% 0.71/1.14
% 0.71/1.14 maxweight = 15
% 0.71/1.14 maxdepth = 30000
% 0.71/1.14 maxlength = 115
% 0.71/1.14 maxnrvars = 195
% 0.71/1.14 excuselevel = 1
% 0.71/1.14 increasemaxweight = 1
% 0.71/1.14
% 0.71/1.14 maxselected = 10000000
% 0.71/1.14 maxnrclauses = 10000000
% 0.71/1.14
% 0.71/1.14 showgenerated = 0
% 0.71/1.14 showkept = 0
% 0.71/1.14 showselected = 0
% 0.71/1.14 showdeleted = 0
% 0.71/1.14 showresimp = 1
% 0.71/1.14 showstatus = 2000
% 0.71/1.14
% 0.71/1.14 prologoutput = 1
% 0.71/1.14 nrgoals = 5000000
% 0.71/1.14 totalproof = 1
% 0.71/1.14
% 0.71/1.14 Symbols occurring in the translation:
% 0.71/1.14
% 0.71/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.14 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.14 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.71/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.14 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.14 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.14 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.14 'additive_inverse' [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.14 associator [46, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.14 commutator [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.14 a [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.14 b [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Starting Search:
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Bliksems!, er is een bewijs:
% 0.71/1.14 % SZS status Unsatisfiable
% 0.71/1.14 % SZS output start Refutation
% 0.71/1.14
% 0.71/1.14 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ]
% 0.71/1.14 )
% 0.71/1.14 .
% 0.71/1.14 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.71/1.14 )
% 0.71/1.14 .
% 0.71/1.14 clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.71/1.14 Y, Z ) ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 15, [ ~( =( multiply( a, 'additive_inverse'( b ) ),
% 0.71/1.14 'additive_inverse'( multiply( a, b ) ) ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 25, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 27, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 30, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.71/1.14 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 32, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 33, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.71/1.14 'additive_inverse'( X ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 56, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.71/1.14 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 201, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z, Y
% 0.71/1.14 ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 267, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.71/1.14 .
% 0.71/1.14 clause( 268, [] )
% 0.71/1.14 .
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 % SZS output end Refutation
% 0.71/1.14 found a proof!
% 0.71/1.14
% 0.71/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.14
% 0.71/1.14 initialclauses(
% 0.71/1.14 [ clause( 270, [ =( add( 'additive_identity', X ), X ) ] )
% 0.71/1.14 , clause( 271, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.71/1.14 , clause( 272, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.71/1.14 ) ] )
% 0.71/1.14 , clause( 273, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.71/1.14 ) ] )
% 0.71/1.14 , clause( 274, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.71/1.14 ) ] )
% 0.71/1.14 , clause( 275, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.71/1.14 ) ] )
% 0.71/1.14 , clause( 276, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.71/1.14 , clause( 277, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.71/1.14 multiply( X, Z ) ) ) ] )
% 0.71/1.14 , clause( 278, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.71/1.14 multiply( Y, Z ) ) ) ] )
% 0.71/1.14 , clause( 279, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.71/1.14 , clause( 280, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.71/1.14 , clause( 281, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.71/1.14 Y, Y ) ) ) ] )
% 0.71/1.14 , clause( 282, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.71/1.14 X, Y ) ) ) ] )
% 0.71/1.14 , clause( 283, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.71/1.14 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.71/1.14 , clause( 284, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 0.71/1.14 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 0.71/1.14 , clause( 285, [ ~( =( multiply( a, 'additive_inverse'( b ) ),
% 0.71/1.14 'additive_inverse'( multiply( a, b ) ) ) ) ] )
% 0.71/1.14 ] ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.71/1.14 , clause( 271, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ]
% 0.71/1.14 )
% 0.71/1.14 , clause( 274, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.71/1.14 ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.71/1.14 )
% 0.71/1.14 , clause( 275, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.71/1.14 ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 306, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.71/1.14 add( Y, Z ) ) ) ] )
% 0.71/1.14 , clause( 277, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.71/1.14 multiply( X, Z ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.71/1.14 Y, Z ) ) ) ] )
% 0.71/1.14 , clause( 306, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.71/1.14 , add( Y, Z ) ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.71/1.14 , clause( 279, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.14 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.71/1.14 , clause( 280, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 15, [ ~( =( multiply( a, 'additive_inverse'( b ) ),
% 0.71/1.14 'additive_inverse'( multiply( a, b ) ) ) ) ] )
% 0.71/1.14 , clause( 285, [ ~( =( multiply( a, 'additive_inverse'( b ) ),
% 0.71/1.14 'additive_inverse'( multiply( a, b ) ) ) ) ] )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 342, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.71/1.14 , clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 346, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X,
% 0.71/1.14 'additive_identity' ) ) ] )
% 0.71/1.14 , clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 0.71/1.14 ] )
% 0.71/1.14 , 0, clause( 342, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.71/1.14 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.14 :=( Y, Y ), :=( Z, 'additive_inverse'( Y ) )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 347, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 0.71/1.14 , clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.71/1.14 , 0, clause( 346, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X
% 0.71/1.14 , 'additive_identity' ) ) ] )
% 0.71/1.14 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.14 :=( Y, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 25, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.71/1.14 , clause( 347, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.14 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 350, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.71/1.14 , clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 355, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), add( X,
% 0.71/1.14 'additive_identity' ) ) ] )
% 0.71/1.14 , clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' )
% 0.71/1.14 ] )
% 0.71/1.14 , 0, clause( 350, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.71/1.14 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.14 :=( Y, 'additive_inverse'( Y ) ), :=( Z, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 356, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), X ) ] )
% 0.71/1.14 , clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.71/1.14 , 0, clause( 355, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), add( X
% 0.71/1.14 , 'additive_identity' ) ) ] )
% 0.71/1.14 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.14 :=( Y, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 27, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.71/1.14 , clause( 356, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.14 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 359, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ] )
% 0.71/1.14 , clause( 25, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 362, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.71/1.14 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.71/1.14 add( Y, Z ) ) ) ] )
% 0.71/1.14 , 0, clause( 359, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ]
% 0.71/1.14 )
% 0.71/1.14 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( X, Z ) )] )
% 0.71/1.14 ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 363, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.71/1.14 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.71/1.14 , clause( 362, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 30, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.71/1.14 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.71/1.14 , clause( 363, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.71/1.14 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 364, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ] )
% 0.71/1.14 , clause( 25, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 366, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 0.71/1.14 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.71/1.14 , 0, clause( 364, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ]
% 0.71/1.14 )
% 0.71/1.14 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.14 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 372, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.71/1.14 , clause( 366, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 32, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.71/1.14 , clause( 372, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.14 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 373, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 0.71/1.14 , clause( 32, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 376, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'( add(
% 0.71/1.14 X, Y ) ) ) ) ] )
% 0.71/1.14 , clause( 32, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.71/1.14 , 0, clause( 373, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 0.71/1.14 )
% 0.71/1.14 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.14 :=( X, add( X, Y ) ), :=( Y, 'additive_inverse'( X ) )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 377, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.71/1.14 'additive_inverse'( X ) ) ] )
% 0.71/1.14 , clause( 376, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'(
% 0.71/1.14 add( X, Y ) ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 33, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.71/1.14 'additive_inverse'( X ) ) ] )
% 0.71/1.14 , clause( 377, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.71/1.14 'additive_inverse'( X ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.14 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 379, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 0.71/1.14 Y, X ) ) ) ) ] )
% 0.71/1.14 , clause( 33, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.71/1.14 'additive_inverse'( X ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 382, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply( X
% 0.71/1.14 , Z ), 'additive_inverse'( multiply( X, add( Y, Z ) ) ) ) ) ] )
% 0.71/1.14 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.71/1.14 add( Y, Z ) ) ) ] )
% 0.71/1.14 , 0, clause( 379, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 0.71/1.14 add( Y, X ) ) ) ) ] )
% 0.71/1.14 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X, Y ) )] )
% 0.71/1.14 ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 383, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.71/1.14 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.71/1.14 , clause( 382, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply(
% 0.71/1.14 X, Z ), 'additive_inverse'( multiply( X, add( Y, Z ) ) ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 56, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.71/1.14 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.71/1.14 , clause( 383, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X
% 0.71/1.14 , add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 385, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.71/1.14 , clause( 30, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.71/1.14 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 388, [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add(
% 0.71/1.14 multiply( X, Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.71/1.14 , clause( 27, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.71/1.14 , 0, clause( 385, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.71/1.14 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.14 :=( X, X ), :=( Y, add( Y, 'additive_inverse'( Z ) ) ), :=( Z, Z )] )
% 0.71/1.14 ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 389, [ =( add( multiply( X, Y ), 'additive_inverse'( multiply( X, Z
% 0.71/1.14 ) ) ), multiply( X, add( Y, 'additive_inverse'( Z ) ) ) ) ] )
% 0.71/1.14 , clause( 388, [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add(
% 0.71/1.14 multiply( X, Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 201, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z, Y
% 0.71/1.14 ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.71/1.14 , clause( 389, [ =( add( multiply( X, Y ), 'additive_inverse'( multiply( X
% 0.71/1.14 , Z ) ) ), multiply( X, add( Y, 'additive_inverse'( Z ) ) ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 393, [ =( multiply( X, add( Y, 'additive_inverse'( add( Z, Y ) ) )
% 0.71/1.14 ), 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.71/1.14 , clause( 201, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z
% 0.71/1.14 , Y ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.71/1.14 , 0, clause( 56, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply(
% 0.71/1.14 X, add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.71/1.14 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, add( Z, Y ) ), :=( Z, X )] )
% 0.71/1.14 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 paramod(
% 0.71/1.14 clause( 394, [ =( multiply( X, 'additive_inverse'( Z ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.71/1.14 , clause( 33, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.71/1.14 'additive_inverse'( X ) ) ] )
% 0.71/1.14 , 0, clause( 393, [ =( multiply( X, add( Y, 'additive_inverse'( add( Z, Y )
% 0.71/1.14 ) ) ), 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.71/1.14 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.14 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 267, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.71/1.14 , clause( 394, [ =( multiply( X, 'additive_inverse'( Z ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.71/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 396, [ =( 'additive_inverse'( multiply( X, Y ) ), multiply( X,
% 0.71/1.14 'additive_inverse'( Y ) ) ) ] )
% 0.71/1.14 , clause( 267, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.71/1.14 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 eqswap(
% 0.71/1.14 clause( 397, [ ~( =( 'additive_inverse'( multiply( a, b ) ), multiply( a,
% 0.71/1.14 'additive_inverse'( b ) ) ) ) ] )
% 0.71/1.14 , clause( 15, [ ~( =( multiply( a, 'additive_inverse'( b ) ),
% 0.71/1.14 'additive_inverse'( multiply( a, b ) ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [] )).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 resolution(
% 0.71/1.14 clause( 398, [] )
% 0.71/1.14 , clause( 397, [ ~( =( 'additive_inverse'( multiply( a, b ) ), multiply( a
% 0.71/1.14 , 'additive_inverse'( b ) ) ) ) ] )
% 0.71/1.14 , 0, clause( 396, [ =( 'additive_inverse'( multiply( X, Y ) ), multiply( X
% 0.71/1.14 , 'additive_inverse'( Y ) ) ) ] )
% 0.71/1.14 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.71/1.14 ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 subsumption(
% 0.71/1.14 clause( 268, [] )
% 0.71/1.14 , clause( 398, [] )
% 0.71/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 end.
% 0.71/1.14
% 0.71/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.14
% 0.71/1.14 Memory use:
% 0.71/1.14
% 0.71/1.14 space for terms: 3831
% 0.71/1.14 space for clauses: 31231
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 clauses generated: 8321
% 0.71/1.14 clauses kept: 269
% 0.71/1.14 clauses selected: 94
% 0.71/1.14 clauses deleted: 21
% 0.71/1.14 clauses inuse deleted: 0
% 0.71/1.14
% 0.71/1.14 subsentry: 2138
% 0.71/1.14 literals s-matched: 1867
% 0.71/1.14 literals matched: 1854
% 0.71/1.14 full subsumption: 0
% 0.71/1.14
% 0.71/1.14 checksum: -101315760
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Bliksem ended
%------------------------------------------------------------------------------