TSTP Solution File: BOO007-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO007-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:30:35 EDT 2022
% Result : Unsatisfiable 0.48s 1.17s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : BOO007-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % 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 : Wed Jun 1 17:04:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.48/1.17 *** allocated 10000 integers for termspace/termends
% 0.48/1.17 *** allocated 10000 integers for clauses
% 0.48/1.17 *** allocated 10000 integers for justifications
% 0.48/1.17 Bliksem 1.12
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 Automatic Strategy Selection
% 0.48/1.17
% 0.48/1.17 Clauses:
% 0.48/1.17 [
% 0.48/1.17 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.48/1.17 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.48/1.17 [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.48/1.17 ],
% 0.48/1.17 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.48/1.17 ],
% 0.48/1.17 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.48/1.17 ) ) ],
% 0.48/1.17 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.48/1.17 ) ) ],
% 0.48/1.17 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.48/1.17 [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.48/1.17 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.48/1.17 [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.48/1.17 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.48/1.17 [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.48/1.17 [ =( add( X, 'additive_identity' ), X ) ],
% 0.48/1.17 [ =( add( 'additive_identity', X ), X ) ],
% 0.48/1.17 [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a, b ), c )
% 0.48/1.17 ) ) ]
% 0.48/1.17 ] .
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 percentage equality = 1.000000, percentage horn = 1.000000
% 0.48/1.17 This is a pure equality problem
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 Options Used:
% 0.48/1.17
% 0.48/1.17 useres = 1
% 0.48/1.17 useparamod = 1
% 0.48/1.17 useeqrefl = 1
% 0.48/1.17 useeqfact = 1
% 0.48/1.17 usefactor = 1
% 0.48/1.17 usesimpsplitting = 0
% 0.48/1.17 usesimpdemod = 5
% 0.48/1.17 usesimpres = 3
% 0.48/1.17
% 0.48/1.17 resimpinuse = 1000
% 0.48/1.17 resimpclauses = 20000
% 0.48/1.17 substype = eqrewr
% 0.48/1.17 backwardsubs = 1
% 0.48/1.17 selectoldest = 5
% 0.48/1.17
% 0.48/1.17 litorderings [0] = split
% 0.48/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.48/1.17
% 0.48/1.17 termordering = kbo
% 0.48/1.17
% 0.48/1.17 litapriori = 0
% 0.48/1.17 termapriori = 1
% 0.48/1.17 litaposteriori = 0
% 0.48/1.17 termaposteriori = 0
% 0.48/1.17 demodaposteriori = 0
% 0.48/1.17 ordereqreflfact = 0
% 0.48/1.17
% 0.48/1.17 litselect = negord
% 0.48/1.17
% 0.48/1.17 maxweight = 15
% 0.48/1.17 maxdepth = 30000
% 0.48/1.17 maxlength = 115
% 0.48/1.17 maxnrvars = 195
% 0.48/1.17 excuselevel = 1
% 0.48/1.17 increasemaxweight = 1
% 0.48/1.17
% 0.48/1.17 maxselected = 10000000
% 0.48/1.17 maxnrclauses = 10000000
% 0.48/1.17
% 0.48/1.17 showgenerated = 0
% 0.48/1.17 showkept = 0
% 0.48/1.17 showselected = 0
% 0.48/1.17 showdeleted = 0
% 0.48/1.17 showresimp = 1
% 0.48/1.17 showstatus = 2000
% 0.48/1.17
% 0.48/1.17 prologoutput = 1
% 0.48/1.17 nrgoals = 5000000
% 0.48/1.17 totalproof = 1
% 0.48/1.17
% 0.48/1.17 Symbols occurring in the translation:
% 0.48/1.17
% 0.48/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.48/1.17 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.48/1.17 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.48/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.17 add [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.48/1.17 multiply [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.48/1.17 inverse [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.48/1.17 'multiplicative_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.48/1.17 'additive_identity' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.48/1.17 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.48/1.17 b [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.48/1.17 c [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 Starting Search:
% 0.48/1.17
% 0.48/1.17 Resimplifying inuse:
% 0.48/1.17
% 0.48/1.17 Bliksems!, er is een bewijs:
% 0.48/1.17 % SZS status Unsatisfiable
% 0.48/1.17 % SZS output start Refutation
% 0.48/1.17
% 0.48/1.17 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.48/1.17 , Z ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.48/1.17 Z ) ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.48/1.17 , Y ), Z ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.48/1.17 Y, Z ) ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 14, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a
% 0.48/1.17 , b ), c ) ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 18, [ ~( =( multiply( a, multiply( c, b ) ), multiply( multiply( a
% 0.48/1.17 , b ), c ) ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 32, [ =( add( multiply( Z, multiply( inverse( X ), Y ) ), X ), add(
% 0.48/1.17 multiply( Z, Y ), X ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 33, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 36, [ =( add( X, X ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 37, [ =( add( 'multiplicative_identity', X ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 38, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 .
% 0.48/1.17 clause( 40, [ =( add( X, 'multiplicative_identity' ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 42, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.48/1.17 )
% 0.48/1.17 .
% 0.48/1.17 clause( 54, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 76, [ =( multiply( add( Y, inverse( X ) ), X ), multiply( Y, X ) )
% 0.48/1.17 ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 78, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 85, [ =( add( Y, multiply( Y, X ) ), Y ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 89, [ =( add( X, multiply( Z, multiply( X, Y ) ) ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 94, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 104, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.48/1.17 ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 166, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 171, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 484, [ =( multiply( multiply( X, multiply( Y, Z ) ), Y ), multiply(
% 0.48/1.17 multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 523, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 537, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y, Z
% 0.48/1.17 ), X ) ) ] )
% 0.48/1.17 .
% 0.48/1.17 clause( 1005, [] )
% 0.48/1.17 .
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 % SZS output end Refutation
% 0.48/1.17 found a proof!
% 0.48/1.17
% 0.48/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.17
% 0.48/1.17 initialclauses(
% 0.48/1.17 [ clause( 1007, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.48/1.17 , clause( 1008, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.48/1.17 , clause( 1009, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.48/1.17 Y, Z ) ) ) ] )
% 0.48/1.17 , clause( 1010, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.48/1.17 X, Z ) ) ) ] )
% 0.48/1.17 , clause( 1011, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.48/1.17 multiply( Y, Z ) ) ) ] )
% 0.48/1.17 , clause( 1012, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.48/1.17 multiply( X, Z ) ) ) ] )
% 0.48/1.17 , clause( 1013, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 1014, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 1015, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 1016, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 1017, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.48/1.17 , clause( 1018, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 , clause( 1019, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.48/1.17 , clause( 1020, [ =( add( 'additive_identity', X ), X ) ] )
% 0.48/1.17 , clause( 1021, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply(
% 0.48/1.17 a, b ), c ) ) ) ] )
% 0.48/1.17 ] ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.48/1.17 , clause( 1007, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.48/1.17 , clause( 1008, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1022, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X,
% 0.48/1.17 Y ), Z ) ) ] )
% 0.48/1.17 , clause( 1009, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.48/1.17 Y, Z ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.48/1.17 , Z ) ) ] )
% 0.48/1.17 , clause( 1022, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X
% 0.48/1.17 , Y ), Z ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1024, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.48/1.17 Y, Z ) ) ) ] )
% 0.48/1.17 , clause( 1010, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.48/1.17 X, Z ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.48/1.17 Z ) ) ) ] )
% 0.48/1.17 , clause( 1024, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.48/1.17 Y, Z ) ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1027, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.48/1.17 X, Y ), Z ) ) ] )
% 0.48/1.17 , clause( 1011, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.48/1.17 multiply( Y, Z ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.48/1.17 , Y ), Z ) ) ] )
% 0.48/1.17 , clause( 1027, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply(
% 0.48/1.17 add( X, Y ), Z ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1031, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.48/1.17 add( Y, Z ) ) ) ] )
% 0.48/1.17 , clause( 1012, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.48/1.17 multiply( X, Z ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.48/1.17 Y, Z ) ) ) ] )
% 0.48/1.17 , clause( 1031, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.48/1.17 , add( Y, Z ) ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.48/1.17 , clause( 1013, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.48/1.17 )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.48/1.17 , clause( 1014, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.48/1.17 )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.48/1.17 , clause( 1015, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.48/1.17 )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.48/1.17 , clause( 1016, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ]
% 0.48/1.17 )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.48/1.17 , clause( 1017, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 , clause( 1018, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.48/1.17 , clause( 1019, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.48/1.17 , clause( 1020, [ =( add( 'additive_identity', X ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 14, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a
% 0.48/1.17 , b ), c ) ) ) ] )
% 0.48/1.17 , clause( 1021, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply(
% 0.48/1.17 a, b ), c ) ) ) ] )
% 0.48/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1113, [ ~( =( multiply( multiply( a, b ), c ), multiply( a,
% 0.48/1.17 multiply( b, c ) ) ) ) ] )
% 0.48/1.17 , clause( 14, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply(
% 0.48/1.17 a, b ), c ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1117, [ ~( =( multiply( multiply( a, b ), c ), multiply( a,
% 0.48/1.17 multiply( c, b ) ) ) ) ] )
% 0.48/1.17 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.48/1.17 , 0, clause( 1113, [ ~( =( multiply( multiply( a, b ), c ), multiply( a,
% 0.48/1.17 multiply( b, c ) ) ) ) ] )
% 0.48/1.17 , 0, 9, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 0.48/1.17 ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1145, [ ~( =( multiply( a, multiply( c, b ) ), multiply( multiply(
% 0.48/1.17 a, b ), c ) ) ) ] )
% 0.48/1.17 , clause( 1117, [ ~( =( multiply( multiply( a, b ), c ), multiply( a,
% 0.48/1.17 multiply( c, b ) ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 18, [ ~( =( multiply( a, multiply( c, b ) ), multiply( multiply( a
% 0.48/1.17 , b ), c ) ) ) ] )
% 0.48/1.17 , clause( 1145, [ ~( =( multiply( a, multiply( c, b ) ), multiply( multiply(
% 0.48/1.17 a, b ), c ) ) ) ] )
% 0.48/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1147, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.48/1.17 Z, Y ) ) ) ] )
% 0.48/1.17 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.48/1.17 ), Z ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1149, [ =( add( multiply( inverse( X ), Y ), X ), multiply(
% 0.48/1.17 'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.48/1.17 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.48/1.17 , 0, clause( 1147, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.48/1.17 add( Z, Y ) ) ) ] )
% 0.48/1.17 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.48/1.17 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1151, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 , 0, clause( 1149, [ =( add( multiply( inverse( X ), Y ), X ), multiply(
% 0.48/1.17 'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.48/1.17 , 0, 7, substitution( 0, [ :=( X, add( Y, X ) )] ), substitution( 1, [ :=(
% 0.48/1.17 X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.48/1.17 , clause( 1151, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1154, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.48/1.17 Z, Y ) ) ) ] )
% 0.48/1.17 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.48/1.17 ), Z ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1158, [ =( add( multiply( X, multiply( inverse( Y ), Z ) ), Y ),
% 0.48/1.17 multiply( add( X, Y ), add( Z, Y ) ) ) ] )
% 0.48/1.17 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , 0, clause( 1154, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.48/1.17 add( Z, Y ) ) ) ] )
% 0.48/1.17 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, Y ), :=( Z, multiply( inverse( Y ), Z ) )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1159, [ =( add( multiply( X, multiply( inverse( Y ), Z ) ), Y ),
% 0.48/1.17 add( multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.48/1.17 ), Z ) ) ] )
% 0.48/1.17 , 0, clause( 1158, [ =( add( multiply( X, multiply( inverse( Y ), Z ) ), Y
% 0.48/1.17 ), multiply( add( X, Y ), add( Z, Y ) ) ) ] )
% 0.48/1.17 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.48/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 32, [ =( add( multiply( Z, multiply( inverse( X ), Y ) ), X ), add(
% 0.48/1.17 multiply( Z, Y ), X ) ) ] )
% 0.48/1.17 , clause( 1159, [ =( add( multiply( X, multiply( inverse( Y ), Z ) ), Y ),
% 0.48/1.17 add( multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.48/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1162, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1164, [ =( add( inverse( inverse( X ) ), X ), add(
% 0.48/1.17 'additive_identity', X ) ) ] )
% 0.48/1.17 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.48/1.17 , 0, clause( 1162, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.48/1.17 ) ] )
% 0.48/1.17 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1165, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.48/1.17 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.48/1.17 , 0, clause( 1164, [ =( add( inverse( inverse( X ) ), X ), add(
% 0.48/1.17 'additive_identity', X ) ) ] )
% 0.48/1.17 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.48/1.17 ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 33, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.48/1.17 , clause( 1165, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1168, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1170, [ =( add( X, X ), add( 'additive_identity', X ) ) ] )
% 0.48/1.17 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.48/1.17 , 0, clause( 1168, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.48/1.17 ) ] )
% 0.48/1.17 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1171, [ =( add( X, X ), X ) ] )
% 0.48/1.17 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.48/1.17 , 0, clause( 1170, [ =( add( X, X ), add( 'additive_identity', X ) ) ] )
% 0.48/1.17 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.48/1.17 ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 36, [ =( add( X, X ), X ) ] )
% 0.48/1.17 , clause( 1171, [ =( add( X, X ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1174, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1176, [ =( add( 'multiplicative_identity', X ), add( inverse( X ),
% 0.48/1.17 X ) ) ] )
% 0.48/1.17 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.48/1.17 , 0, clause( 1174, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.48/1.17 ) ] )
% 0.48/1.17 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, 'multiplicative_identity' )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1177, [ =( add( 'multiplicative_identity', X ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.48/1.17 , 0, clause( 1176, [ =( add( 'multiplicative_identity', X ), add( inverse(
% 0.48/1.17 X ), X ) ) ] )
% 0.48/1.17 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.48/1.17 ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 37, [ =( add( 'multiplicative_identity', X ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , clause( 1177, [ =( add( 'multiplicative_identity', X ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1180, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.48/1.17 Z, Y ) ) ) ] )
% 0.48/1.17 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.48/1.17 ), Z ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1182, [ =( add( multiply( X, Y ), X ), multiply( X, add( Y, X ) ) )
% 0.48/1.17 ] )
% 0.48/1.17 , clause( 36, [ =( add( X, X ), X ) ] )
% 0.48/1.17 , 0, clause( 1180, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.48/1.17 add( Z, Y ) ) ) ] )
% 0.48/1.17 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, X ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1185, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) )
% 0.48/1.17 ] )
% 0.48/1.17 , clause( 1182, [ =( add( multiply( X, Y ), X ), multiply( X, add( Y, X ) )
% 0.48/1.17 ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 38, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 1185, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X )
% 0.48/1.17 ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1187, [ =( 'multiplicative_identity', add(
% 0.48/1.17 'multiplicative_identity', X ) ) ] )
% 0.48/1.17 , clause( 37, [ =( add( 'multiplicative_identity', X ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1188, [ =( 'multiplicative_identity', add( X,
% 0.48/1.17 'multiplicative_identity' ) ) ] )
% 0.48/1.17 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.48/1.17 , 0, clause( 1187, [ =( 'multiplicative_identity', add(
% 0.48/1.17 'multiplicative_identity', X ) ) ] )
% 0.48/1.17 , 0, 2, substitution( 0, [ :=( X, 'multiplicative_identity' ), :=( Y, X )] )
% 0.48/1.17 , substitution( 1, [ :=( X, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1191, [ =( add( X, 'multiplicative_identity' ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , clause( 1188, [ =( 'multiplicative_identity', add( X,
% 0.48/1.17 'multiplicative_identity' ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 40, [ =( add( X, 'multiplicative_identity' ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , clause( 1191, [ =( add( X, 'multiplicative_identity' ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1193, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.48/1.17 X, Z ) ) ) ] )
% 0.48/1.17 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.48/1.17 , Z ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1196, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X ) )
% 0.48/1.17 ] )
% 0.48/1.17 , clause( 36, [ =( add( X, X ), X ) ] )
% 0.48/1.17 , 0, clause( 1193, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.48/1.17 add( X, Z ) ) ) ] )
% 0.48/1.17 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, Y ), :=( Z, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1199, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.48/1.17 ] )
% 0.48/1.17 , clause( 1196, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X )
% 0.48/1.17 ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 42, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.48/1.17 )
% 0.48/1.17 , clause( 1199, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) )
% 0.48/1.17 ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1200, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.48/1.17 , clause( 33, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1201, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.48/1.17 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.48/1.17 , 0, clause( 1200, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.48/1.17 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )
% 0.48/1.17 , substitution( 1, [ :=( X, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1204, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 , clause( 1201, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 54, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 , clause( 1204, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1206, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.48/1.17 multiply( Z, Y ) ) ) ] )
% 0.48/1.17 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.48/1.17 X, Y ), Z ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1209, [ =( multiply( add( X, inverse( Y ) ), Y ), add( multiply( X
% 0.48/1.17 , Y ), 'additive_identity' ) ) ] )
% 0.48/1.17 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.48/1.17 , 0, clause( 1206, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.48/1.17 multiply( Z, Y ) ) ) ] )
% 0.48/1.17 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1210, [ =( multiply( add( X, inverse( Y ) ), Y ), multiply( X, Y )
% 0.48/1.17 ) ] )
% 0.48/1.17 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.48/1.17 , 0, clause( 1209, [ =( multiply( add( X, inverse( Y ) ), Y ), add(
% 0.48/1.17 multiply( X, Y ), 'additive_identity' ) ) ] )
% 0.48/1.17 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 76, [ =( multiply( add( Y, inverse( X ) ), X ), multiply( Y, X ) )
% 0.48/1.17 ] )
% 0.48/1.17 , clause( 1210, [ =( multiply( add( X, inverse( Y ) ), Y ), multiply( X, Y
% 0.48/1.17 ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1213, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.48/1.17 multiply( Z, Y ) ) ) ] )
% 0.48/1.17 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.48/1.17 X, Y ), Z ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1216, [ =( multiply( add( 'multiplicative_identity', X ), Y ), add(
% 0.48/1.17 Y, multiply( X, Y ) ) ) ] )
% 0.48/1.17 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 , 0, clause( 1213, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.48/1.17 multiply( Z, Y ) ) ) ] )
% 0.48/1.17 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.48/1.17 'multiplicative_identity' ), :=( Y, Y ), :=( Z, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1218, [ =( multiply( 'multiplicative_identity', Y ), add( Y,
% 0.48/1.17 multiply( X, Y ) ) ) ] )
% 0.48/1.17 , clause( 37, [ =( add( 'multiplicative_identity', X ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , 0, clause( 1216, [ =( multiply( add( 'multiplicative_identity', X ), Y )
% 0.48/1.17 , add( Y, multiply( X, Y ) ) ) ] )
% 0.48/1.17 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1219, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.48/1.17 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 , 0, clause( 1218, [ =( multiply( 'multiplicative_identity', Y ), add( Y,
% 0.48/1.17 multiply( X, Y ) ) ) ] )
% 0.48/1.17 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.48/1.17 :=( Y, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1220, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.48/1.17 , clause( 1219, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.48/1.17 , clause( 1220, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1222, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.48/1.17 multiply( Z, Y ) ) ) ] )
% 0.48/1.17 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.48/1.17 X, Y ), Z ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1226, [ =( multiply( add( X, 'multiplicative_identity' ), Y ), add(
% 0.48/1.17 multiply( X, Y ), Y ) ) ] )
% 0.48/1.17 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 , 0, clause( 1222, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.48/1.17 multiply( Z, Y ) ) ) ] )
% 0.48/1.17 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, Y ), :=( Z, 'multiplicative_identity' )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1227, [ =( multiply( 'multiplicative_identity', Y ), add( multiply(
% 0.48/1.17 X, Y ), Y ) ) ] )
% 0.48/1.17 , clause( 40, [ =( add( X, 'multiplicative_identity' ),
% 0.48/1.17 'multiplicative_identity' ) ] )
% 0.48/1.17 , 0, clause( 1226, [ =( multiply( add( X, 'multiplicative_identity' ), Y )
% 0.48/1.17 , add( multiply( X, Y ), Y ) ) ] )
% 0.48/1.17 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1228, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.48/1.17 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.48/1.17 , 0, clause( 1227, [ =( multiply( 'multiplicative_identity', Y ), add(
% 0.48/1.17 multiply( X, Y ), Y ) ) ] )
% 0.48/1.17 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.48/1.17 :=( Y, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1229, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.48/1.17 , clause( 1228, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 78, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.48/1.17 , clause( 1229, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1230, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.48/1.17 , clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1231, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.48/1.17 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.48/1.17 , 0, clause( 1230, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.48/1.17 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1234, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.48/1.17 , clause( 1231, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 85, [ =( add( Y, multiply( Y, X ) ), Y ) ] )
% 0.48/1.17 , clause( 1234, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1236, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.48/1.17 X, Z ) ) ) ] )
% 0.48/1.17 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.48/1.17 , Z ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1242, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), multiply( add(
% 0.48/1.17 X, Y ), X ) ) ] )
% 0.48/1.17 , clause( 85, [ =( add( Y, multiply( Y, X ) ), Y ) ] )
% 0.48/1.17 , 0, clause( 1236, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.48/1.17 add( X, Z ) ) ) ] )
% 0.48/1.17 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Z ) )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1243, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), add( X,
% 0.48/1.17 multiply( Y, X ) ) ) ] )
% 0.48/1.17 , clause( 42, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.48/1.17 ] )
% 0.48/1.17 , 0, clause( 1242, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.48/1.17 add( X, Y ), X ) ) ] )
% 0.48/1.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1244, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), X ) ] )
% 0.48/1.17 , clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.48/1.17 , 0, clause( 1243, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), add( X,
% 0.48/1.17 multiply( Y, X ) ) ) ] )
% 0.48/1.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 89, [ =( add( X, multiply( Z, multiply( X, Y ) ) ), X ) ] )
% 0.48/1.17 , clause( 1244, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.48/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1246, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.48/1.17 , clause( 85, [ =( add( Y, multiply( Y, X ) ), Y ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1247, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.48/1.17 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.48/1.17 , 0, clause( 1246, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.48/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.48/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1250, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.48/1.17 , clause( 1247, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 94, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.48/1.17 , clause( 1250, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1252, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.48/1.17 multiply( X, Z ) ) ) ] )
% 0.48/1.17 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.48/1.17 add( Y, Z ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1254, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.48/1.17 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.48/1.17 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.48/1.17 , 0, clause( 1252, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.48/1.17 multiply( X, Z ) ) ) ] )
% 0.48/1.17 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1256, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.48/1.17 ) ] )
% 0.48/1.17 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.48/1.17 , 0, clause( 1254, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.48/1.17 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.48/1.17 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 104, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.48/1.17 ] )
% 0.48/1.17 , clause( 1256, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y
% 0.48/1.17 ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1259, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) )
% 0.48/1.17 ) ] )
% 0.48/1.17 , clause( 104, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.48/1.17 ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1261, [ =( multiply( X, inverse( inverse( X ) ) ), multiply( X,
% 0.48/1.17 'multiplicative_identity' ) ) ] )
% 0.48/1.17 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.48/1.17 , 0, clause( 1259, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.48/1.17 ) ) ) ] )
% 0.48/1.17 , 0, 8, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1262, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.48/1.17 , 0, clause( 1261, [ =( multiply( X, inverse( inverse( X ) ) ), multiply( X
% 0.48/1.17 , 'multiplicative_identity' ) ) ] )
% 0.48/1.17 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.48/1.17 ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 166, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 , clause( 1262, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1265, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.48/1.17 , clause( 78, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1267, [ =( inverse( inverse( X ) ), add( X, inverse( inverse( X ) )
% 0.48/1.17 ) ) ] )
% 0.48/1.17 , clause( 166, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 , 0, clause( 1265, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.48/1.17 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, inverse( inverse( X ) ) )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1268, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.17 , clause( 54, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.48/1.17 , 0, clause( 1267, [ =( inverse( inverse( X ) ), add( X, inverse( inverse(
% 0.48/1.17 X ) ) ) ) ] )
% 0.48/1.17 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.48/1.17 ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 171, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.17 , clause( 1268, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1271, [ =( multiply( X, Y ), multiply( add( X, inverse( Y ) ), Y )
% 0.48/1.17 ) ] )
% 0.48/1.17 , clause( 76, [ =( multiply( add( Y, inverse( X ) ), X ), multiply( Y, X )
% 0.48/1.17 ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1276, [ =( multiply( multiply( X, multiply( inverse( inverse( Y ) )
% 0.48/1.17 , Z ) ), Y ), multiply( add( multiply( X, Z ), inverse( Y ) ), Y ) ) ] )
% 0.48/1.17 , clause( 32, [ =( add( multiply( Z, multiply( inverse( X ), Y ) ), X ),
% 0.48/1.17 add( multiply( Z, Y ), X ) ) ] )
% 0.48/1.17 , 0, clause( 1271, [ =( multiply( X, Y ), multiply( add( X, inverse( Y ) )
% 0.48/1.17 , Y ) ) ] )
% 0.48/1.17 , 0, 11, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, Z ), :=( Z, X )] )
% 0.48/1.17 , substitution( 1, [ :=( X, multiply( X, multiply( inverse( inverse( Y )
% 0.48/1.17 ), Z ) ) ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1277, [ =( multiply( multiply( X, multiply( inverse( inverse( Y ) )
% 0.48/1.17 , Z ) ), Y ), multiply( multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 , clause( 76, [ =( multiply( add( Y, inverse( X ) ), X ), multiply( Y, X )
% 0.48/1.17 ) ] )
% 0.48/1.17 , 0, clause( 1276, [ =( multiply( multiply( X, multiply( inverse( inverse(
% 0.48/1.17 Y ) ), Z ) ), Y ), multiply( add( multiply( X, Z ), inverse( Y ) ), Y ) )
% 0.48/1.17 ] )
% 0.48/1.17 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Z ) )] ),
% 0.48/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1278, [ =( multiply( multiply( X, multiply( Y, Z ) ), Y ), multiply(
% 0.48/1.17 multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 , clause( 171, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.17 , 0, clause( 1277, [ =( multiply( multiply( X, multiply( inverse( inverse(
% 0.48/1.17 Y ) ), Z ) ), Y ), multiply( multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.17 :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 484, [ =( multiply( multiply( X, multiply( Y, Z ) ), Y ), multiply(
% 0.48/1.17 multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 , clause( 1278, [ =( multiply( multiply( X, multiply( Y, Z ) ), Y ),
% 0.48/1.17 multiply( multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1282, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.48/1.17 , clause( 94, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.48/1.17 , 0, clause( 38, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X
% 0.48/1.17 ) ) ] )
% 0.48/1.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 523, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.48/1.17 , clause( 1282, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.17 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqswap(
% 0.48/1.17 clause( 1285, [ =( X, multiply( X, add( Y, X ) ) ) ] )
% 0.48/1.17 , clause( 523, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.48/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1288, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.48/1.17 multiply( Y, Z ) ), Y ) ) ] )
% 0.48/1.17 , clause( 89, [ =( add( X, multiply( Z, multiply( X, Y ) ) ), X ) ] )
% 0.48/1.17 , 0, clause( 1285, [ =( X, multiply( X, add( Y, X ) ) ) ] )
% 0.48/1.17 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.48/1.17 substitution( 1, [ :=( X, multiply( X, multiply( Y, Z ) ) ), :=( Y, Y )] )
% 0.48/1.17 ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1289, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.48/1.17 Z ), Y ) ) ] )
% 0.48/1.17 , clause( 484, [ =( multiply( multiply( X, multiply( Y, Z ) ), Y ),
% 0.48/1.17 multiply( multiply( X, Z ), Y ) ) ] )
% 0.48/1.17 , 0, clause( 1288, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.48/1.17 X, multiply( Y, Z ) ), Y ) ) ] )
% 0.48/1.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 537, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y, Z
% 0.48/1.17 ), X ) ) ] )
% 0.48/1.17 , clause( 1289, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.48/1.17 , Z ), Y ) ) ] )
% 0.48/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.48/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 paramod(
% 0.48/1.17 clause( 1293, [ ~( =( multiply( multiply( a, b ), c ), multiply( multiply(
% 0.48/1.17 a, b ), c ) ) ) ] )
% 0.48/1.17 , clause( 537, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y
% 0.48/1.17 , Z ), X ) ) ] )
% 0.48/1.17 , 0, clause( 18, [ ~( =( multiply( a, multiply( c, b ) ), multiply(
% 0.48/1.17 multiply( a, b ), c ) ) ) ] )
% 0.48/1.17 , 0, 2, substitution( 0, [ :=( X, c ), :=( Y, a ), :=( Z, b )] ),
% 0.48/1.17 substitution( 1, [] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 eqrefl(
% 0.48/1.17 clause( 1294, [] )
% 0.48/1.17 , clause( 1293, [ ~( =( multiply( multiply( a, b ), c ), multiply( multiply(
% 0.48/1.17 a, b ), c ) ) ) ] )
% 0.48/1.17 , 0, substitution( 0, [] )).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 subsumption(
% 0.48/1.17 clause( 1005, [] )
% 0.48/1.17 , clause( 1294, [] )
% 0.48/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 end.
% 0.48/1.17
% 0.48/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.17
% 0.48/1.17 Memory use:
% 0.48/1.17
% 0.48/1.17 space for terms: 12825
% 0.48/1.17 space for clauses: 107189
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 clauses generated: 11815
% 0.48/1.17 clauses kept: 1006
% 0.48/1.17 clauses selected: 142
% 0.48/1.17 clauses deleted: 32
% 0.48/1.17 clauses inuse deleted: 20
% 0.48/1.17
% 0.48/1.17 subsentry: 2238
% 0.48/1.17 literals s-matched: 905
% 0.48/1.17 literals matched: 901
% 0.48/1.17 full subsumption: 0
% 0.48/1.17
% 0.48/1.17 checksum: 648056377
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 Bliksem ended
%------------------------------------------------------------------------------