TSTP Solution File: BOO007-4 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO007-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 0.76s 1.19s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : BOO007-4 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.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 17:49:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.76/1.19 *** allocated 10000 integers for termspace/termends
% 0.76/1.19 *** allocated 10000 integers for clauses
% 0.76/1.19 *** allocated 10000 integers for justifications
% 0.76/1.19 Bliksem 1.12
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Automatic Strategy Selection
% 0.76/1.19
% 0.76/1.19 Clauses:
% 0.76/1.19 [
% 0.76/1.19 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.76/1.19 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.76/1.19 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.76/1.19 ],
% 0.76/1.19 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.76/1.19 ) ) ],
% 0.76/1.19 [ =( add( X, 'additive_identity' ), X ) ],
% 0.76/1.19 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.76/1.19 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.76/1.19 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.76/1.19 [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a, b ), c )
% 0.76/1.19 ) ) ]
% 0.76/1.19 ] .
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 percentage equality = 1.000000, percentage horn = 1.000000
% 0.76/1.19 This is a pure equality problem
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Options Used:
% 0.76/1.19
% 0.76/1.19 useres = 1
% 0.76/1.19 useparamod = 1
% 0.76/1.19 useeqrefl = 1
% 0.76/1.19 useeqfact = 1
% 0.76/1.19 usefactor = 1
% 0.76/1.19 usesimpsplitting = 0
% 0.76/1.19 usesimpdemod = 5
% 0.76/1.19 usesimpres = 3
% 0.76/1.19
% 0.76/1.19 resimpinuse = 1000
% 0.76/1.19 resimpclauses = 20000
% 0.76/1.19 substype = eqrewr
% 0.76/1.19 backwardsubs = 1
% 0.76/1.19 selectoldest = 5
% 0.76/1.19
% 0.76/1.19 litorderings [0] = split
% 0.76/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.19
% 0.76/1.19 termordering = kbo
% 0.76/1.19
% 0.76/1.19 litapriori = 0
% 0.76/1.19 termapriori = 1
% 0.76/1.19 litaposteriori = 0
% 0.76/1.19 termaposteriori = 0
% 0.76/1.19 demodaposteriori = 0
% 0.76/1.19 ordereqreflfact = 0
% 0.76/1.19
% 0.76/1.19 litselect = negord
% 0.76/1.19
% 0.76/1.19 maxweight = 15
% 0.76/1.19 maxdepth = 30000
% 0.76/1.19 maxlength = 115
% 0.76/1.19 maxnrvars = 195
% 0.76/1.19 excuselevel = 1
% 0.76/1.19 increasemaxweight = 1
% 0.76/1.19
% 0.76/1.19 maxselected = 10000000
% 0.76/1.19 maxnrclauses = 10000000
% 0.76/1.19
% 0.76/1.19 showgenerated = 0
% 0.76/1.19 showkept = 0
% 0.76/1.19 showselected = 0
% 0.76/1.19 showdeleted = 0
% 0.76/1.19 showresimp = 1
% 0.76/1.19 showstatus = 2000
% 0.76/1.19
% 0.76/1.19 prologoutput = 1
% 0.76/1.19 nrgoals = 5000000
% 0.76/1.19 totalproof = 1
% 0.76/1.19
% 0.76/1.19 Symbols occurring in the translation:
% 0.76/1.19
% 0.76/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.19 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.76/1.19 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.76/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.19 add [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.76/1.19 multiply [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.76/1.19 'additive_identity' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.76/1.19 'multiplicative_identity' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.76/1.19 inverse [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.76/1.19 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.76/1.19 b [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.76/1.19 c [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Starting Search:
% 0.76/1.19
% 0.76/1.19 Resimplifying inuse:
% 0.76/1.19
% 0.76/1.19 Bliksems!, er is een bewijs:
% 0.76/1.19 % SZS status Unsatisfiable
% 0.76/1.19 % SZS output start Refutation
% 0.76/1.19
% 0.76/1.19 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.76/1.19 Z ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 8, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a,
% 0.76/1.19 b ), c ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 10, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 22, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X ),
% 0.76/1.19 Y ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 24, [ =( add( X, X ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 25, [ =( add( X, multiply( multiply( inverse( X ), Y ), Z ) ), add(
% 0.76/1.19 X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 29, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 30, [ =( add( X, 'multiplicative_identity' ),
% 0.76/1.19 'multiplicative_identity' ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 31, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.76/1.19 )
% 0.76/1.19 .
% 0.76/1.19 clause( 32, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.76/1.19 )
% 0.76/1.19 .
% 0.76/1.19 clause( 42, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.76/1.19 ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 45, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 50, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 56, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 59, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 61, [ =( add( X, multiply( Z, multiply( Y, X ) ) ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 67, [ =( multiply( add( Z, X ), X ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 94, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 204, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 369, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.76/1.19 multiply( X, Y ), Z ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 905, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.76/1.19 ), Z ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 1001, [] )
% 0.76/1.19 .
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 % SZS output end Refutation
% 0.76/1.19 found a proof!
% 0.76/1.19
% 0.76/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.19
% 0.76/1.19 initialclauses(
% 0.76/1.19 [ clause( 1003, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 , clause( 1004, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.19 , clause( 1005, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 1006, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.19 multiply( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 1007, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.19 , clause( 1008, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.19 , clause( 1009, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 1010, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 1011, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply(
% 0.76/1.19 a, b ), c ) ) ) ] )
% 0.76/1.19 ] ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 , clause( 1003, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.19 , clause( 1004, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1012, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1005, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.76/1.19 Z ) ) ) ] )
% 0.76/1.19 , clause( 1012, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1014, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.76/1.19 add( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1006, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.19 multiply( X, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1014, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.76/1.19 , add( Y, Z ) ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.19 , clause( 1007, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.19 , clause( 1008, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.76/1.19 , clause( 1009, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.76/1.19 )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.19 , clause( 1010, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.76/1.19 )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 8, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a,
% 0.76/1.19 b ), c ) ) ) ] )
% 0.76/1.19 , clause( 1011, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply(
% 0.76/1.19 a, b ), c ) ) ) ] )
% 0.76/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1040, [ =( 'additive_identity', multiply( X, inverse( X ) ) ) ] )
% 0.76/1.19 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1041, [ =( 'additive_identity', multiply( inverse( X ), X ) ) ] )
% 0.76/1.19 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.19 , 0, clause( 1040, [ =( 'additive_identity', multiply( X, inverse( X ) ) )
% 0.76/1.19 ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1044, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.76/1.19 , clause( 1041, [ =( 'additive_identity', multiply( inverse( X ), X ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.76/1.19 , clause( 1044, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ]
% 0.76/1.19 )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1045, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.76/1.19 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1046, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.76/1.19 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.19 , 0, clause( 1045, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' )] )
% 0.76/1.19 , substitution( 1, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1049, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.76/1.19 , clause( 1046, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 10, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.76/1.19 , clause( 1049, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1050, [ =( 'multiplicative_identity', add( X, inverse( X ) ) ) ] )
% 0.76/1.19 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1051, [ =( 'multiplicative_identity', add( inverse( X ), X ) ) ] )
% 0.76/1.19 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 , 0, clause( 1050, [ =( 'multiplicative_identity', add( X, inverse( X ) ) )
% 0.76/1.19 ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1054, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.76/1.19 , clause( 1051, [ =( 'multiplicative_identity', add( inverse( X ), X ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.76/1.19 , clause( 1054, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.76/1.19 )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1055, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.76/1.19 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1056, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.76/1.19 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 , 0, clause( 1055, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1059, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.19 , clause( 1056, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.19 , clause( 1059, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1060, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1062, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 , 0, clause( 1060, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1070, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1062, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , clause( 1070, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1078, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1080, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.76/1.19 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.76/1.19 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.76/1.19 , 0, clause( 1078, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1082, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 10, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.76/1.19 , 0, clause( 1080, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.76/1.19 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.76/1.19 , 0, 7, substitution( 0, [ :=( X, add( X, Y ) )] ), substitution( 1, [ :=(
% 0.76/1.19 X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.76/1.19 , clause( 1082, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1085, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1088, [ =( add( inverse( X ), multiply( X, Y ) ), multiply(
% 0.76/1.19 'multiplicative_identity', add( inverse( X ), Y ) ) ) ] )
% 0.76/1.19 , clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.76/1.19 , 0, clause( 1085, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.76/1.19 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1090, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X )
% 0.76/1.19 , Y ) ) ] )
% 0.76/1.19 , clause( 10, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.76/1.19 , 0, clause( 1088, [ =( add( inverse( X ), multiply( X, Y ) ), multiply(
% 0.76/1.19 'multiplicative_identity', add( inverse( X ), Y ) ) ) ] )
% 0.76/1.19 , 0, 7, substitution( 0, [ :=( X, add( inverse( X ), Y ) )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 22, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X ),
% 0.76/1.19 Y ) ) ] )
% 0.76/1.19 , clause( 1090, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X
% 0.76/1.19 ), Y ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1093, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1095, [ =( add( X, X ), add( X, 'additive_identity' ) ) ] )
% 0.76/1.19 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.76/1.19 , 0, clause( 1093, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1096, [ =( add( X, X ), X ) ] )
% 0.76/1.19 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.19 , 0, clause( 1095, [ =( add( X, X ), add( X, 'additive_identity' ) ) ] )
% 0.76/1.19 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.19 ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 24, [ =( add( X, X ), X ) ] )
% 0.76/1.19 , clause( 1096, [ =( add( X, X ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1099, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1102, [ =( add( X, multiply( multiply( inverse( X ), Y ), Z ) ),
% 0.76/1.19 multiply( add( X, Y ), add( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , 0, clause( 1099, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, multiply( inverse( X ), Y ) ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1106, [ =( add( X, multiply( multiply( inverse( X ), Y ), Z ) ),
% 0.76/1.19 add( X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, clause( 1102, [ =( add( X, multiply( multiply( inverse( X ), Y ), Z )
% 0.76/1.19 ), multiply( add( X, Y ), add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 25, [ =( add( X, multiply( multiply( inverse( X ), Y ), Z ) ), add(
% 0.76/1.19 X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1106, [ =( add( X, multiply( multiply( inverse( X ), Y ), Z ) ),
% 0.76/1.19 add( X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1109, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1111, [ =( add( X, inverse( inverse( X ) ) ), add( X,
% 0.76/1.19 'additive_identity' ) ) ] )
% 0.76/1.19 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.19 , 0, clause( 1109, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1112, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.76/1.19 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.19 , 0, clause( 1111, [ =( add( X, inverse( inverse( X ) ) ), add( X,
% 0.76/1.19 'additive_identity' ) ) ] )
% 0.76/1.19 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.19 ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 29, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.76/1.19 , clause( 1112, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1115, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1117, [ =( add( X, 'multiplicative_identity' ), add( X, inverse( X
% 0.76/1.19 ) ) ) ] )
% 0.76/1.19 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.19 , 0, clause( 1115, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, 'multiplicative_identity' )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1118, [ =( add( X, 'multiplicative_identity' ),
% 0.76/1.19 'multiplicative_identity' ) ] )
% 0.76/1.19 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.76/1.19 , 0, clause( 1117, [ =( add( X, 'multiplicative_identity' ), add( X,
% 0.76/1.19 inverse( X ) ) ) ] )
% 0.76/1.19 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.19 ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 30, [ =( add( X, 'multiplicative_identity' ),
% 0.76/1.19 'multiplicative_identity' ) ] )
% 0.76/1.19 , clause( 1118, [ =( add( X, 'multiplicative_identity' ),
% 0.76/1.19 'multiplicative_identity' ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1121, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1123, [ =( add( X, multiply( X, Y ) ), multiply( X, add( X, Y ) ) )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 24, [ =( add( X, X ), X ) ] )
% 0.76/1.19 , 0, clause( 1121, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, X ), :=( Z, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1126, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 1123, [ =( add( X, multiply( X, Y ) ), multiply( X, add( X, Y ) )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 31, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 1126, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) )
% 0.76/1.19 ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1129, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1132, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X ) )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 24, [ =( add( X, X ), X ) ] )
% 0.76/1.19 , 0, clause( 1129, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, Y ), :=( Z, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1135, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 1132, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 32, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 1135, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) )
% 0.76/1.19 ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1137, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.19 multiply( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.76/1.19 add( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1139, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.76/1.19 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.76/1.19 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.19 , 0, clause( 1137, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.19 multiply( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1141, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.19 , 0, clause( 1139, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.76/1.19 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.76/1.19 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 42, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 1141, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1144, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.19 multiply( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.76/1.19 add( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1148, [ =( multiply( X, add( Y, 'multiplicative_identity' ) ), add(
% 0.76/1.19 multiply( X, Y ), X ) ) ] )
% 0.76/1.19 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.19 , 0, clause( 1144, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.19 multiply( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, Y ), :=( Z, 'multiplicative_identity' )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1149, [ =( multiply( X, 'multiplicative_identity' ), add( multiply(
% 0.76/1.19 X, Y ), X ) ) ] )
% 0.76/1.19 , clause( 30, [ =( add( X, 'multiplicative_identity' ),
% 0.76/1.19 'multiplicative_identity' ) ] )
% 0.76/1.19 , 0, clause( 1148, [ =( multiply( X, add( Y, 'multiplicative_identity' ) )
% 0.76/1.19 , add( multiply( X, Y ), X ) ) ] )
% 0.76/1.19 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1150, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.76/1.19 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.19 , 0, clause( 1149, [ =( multiply( X, 'multiplicative_identity' ), add(
% 0.76/1.19 multiply( X, Y ), X ) ) ] )
% 0.76/1.19 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1151, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.76/1.19 , clause( 1150, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 45, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.76/1.19 , clause( 1151, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1152, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.76/1.19 , clause( 45, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1153, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.76/1.19 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 , 0, clause( 1152, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1156, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.76/1.19 , clause( 1153, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 50, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.76/1.19 , clause( 1156, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1158, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1163, [ =( add( X, multiply( multiply( X, Y ), Z ) ), multiply( X,
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 50, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1158, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, multiply( X, Y ) ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1165, [ =( add( X, multiply( multiply( X, Y ), Z ) ), add( X,
% 0.76/1.19 multiply( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 31, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.76/1.19 ] )
% 0.76/1.19 , 0, clause( 1163, [ =( add( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.76/1.19 X, add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1166, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.76/1.19 , clause( 50, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1165, [ =( add( X, multiply( multiply( X, Y ), Z ) ), add( X,
% 0.76/1.19 multiply( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 56, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.76/1.19 , clause( 1166, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1168, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.76/1.19 , clause( 50, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1169, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.76/1.19 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.19 , 0, clause( 1168, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.76/1.19 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1172, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.76/1.19 , clause( 1169, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 59, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.76/1.19 , clause( 1172, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1174, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 X, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.19 , Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1180, [ =( add( X, multiply( Y, multiply( Z, X ) ) ), multiply( add(
% 0.76/1.19 X, Y ), X ) ) ] )
% 0.76/1.19 , clause( 59, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1174, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y ), :=( Z, multiply( Z, X ) )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1181, [ =( add( X, multiply( Y, multiply( Z, X ) ) ), add( X,
% 0.76/1.19 multiply( Y, X ) ) ) ] )
% 0.76/1.19 , clause( 32, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.76/1.19 ] )
% 0.76/1.19 , 0, clause( 1180, [ =( add( X, multiply( Y, multiply( Z, X ) ) ), multiply(
% 0.76/1.19 add( X, Y ), X ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1182, [ =( add( X, multiply( Y, multiply( Z, X ) ) ), X ) ] )
% 0.76/1.19 , clause( 59, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1181, [ =( add( X, multiply( Y, multiply( Z, X ) ) ), add( X,
% 0.76/1.19 multiply( Y, X ) ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 61, [ =( add( X, multiply( Z, multiply( Y, X ) ) ), X ) ] )
% 0.76/1.19 , clause( 1182, [ =( add( X, multiply( Y, multiply( Z, X ) ) ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1185, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1190, [ =( add( X, multiply( Y, multiply( Z, X ) ) ), multiply( add(
% 0.76/1.19 Y, X ), X ) ) ] )
% 0.76/1.19 , clause( 59, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1185, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ),
% 0.76/1.19 add( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.76/1.19 :=( X, Y ), :=( Y, X ), :=( Z, multiply( Z, X ) )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1191, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.76/1.19 , clause( 61, [ =( add( X, multiply( Z, multiply( Y, X ) ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1190, [ =( add( X, multiply( Y, multiply( Z, X ) ) ), multiply(
% 0.76/1.19 add( Y, X ), X ) ) ] )
% 0.76/1.19 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1192, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.76/1.19 , clause( 1191, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 67, [ =( multiply( add( Z, X ), X ), X ) ] )
% 0.76/1.19 , clause( 1192, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1193, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.76/1.19 , clause( 29, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1194, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.76/1.19 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.19 , 0, clause( 1193, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )
% 0.76/1.19 , substitution( 1, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1197, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.76/1.19 , clause( 1194, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 94, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.76/1.19 , clause( 1197, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1199, [ =( add( inverse( X ), Y ), add( inverse( X ), multiply( X,
% 0.76/1.19 Y ) ) ) ] )
% 0.76/1.19 , clause( 22, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X )
% 0.76/1.19 , Y ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1202, [ =( add( inverse( inverse( X ) ), X ), add( inverse( inverse(
% 0.76/1.19 X ) ), 'additive_identity' ) ) ] )
% 0.76/1.19 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.76/1.19 , 0, clause( 1199, [ =( add( inverse( X ), Y ), add( inverse( X ), multiply(
% 0.76/1.19 X, Y ) ) ) ] )
% 0.76/1.19 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.76/1.19 inverse( X ) ), :=( Y, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1203, [ =( add( inverse( inverse( X ) ), X ), inverse( inverse( X )
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.19 , 0, clause( 1202, [ =( add( inverse( inverse( X ) ), X ), add( inverse(
% 0.76/1.19 inverse( X ) ), 'additive_identity' ) ) ] )
% 0.76/1.19 , 0, 6, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1204, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.76/1.19 , clause( 94, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.76/1.19 , 0, clause( 1203, [ =( add( inverse( inverse( X ) ), X ), inverse( inverse(
% 0.76/1.19 X ) ) ) ] )
% 0.76/1.19 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.19 ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1205, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.19 , clause( 1204, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 204, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.19 , clause( 1205, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1207, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.76/1.19 , clause( 67, [ =( multiply( add( Z, X ), X ), X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1210, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.76/1.19 multiply( X, Y ), Z ) ) ) ] )
% 0.76/1.19 , clause( 56, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1207, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.76/1.19 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X ), :=( Y, multiply( multiply( X, Y ), Z ) )] )
% 0.76/1.19 ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1211, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.76/1.19 multiply( X, Y ), Z ) ) ] )
% 0.76/1.19 , clause( 1210, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.76/1.19 multiply( X, Y ), Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 369, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.76/1.19 multiply( X, Y ), Z ) ) ] )
% 0.76/1.19 , clause( 1211, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ),
% 0.76/1.19 multiply( multiply( X, Y ), Z ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1213, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) )
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 42, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1220, [ =( multiply( X, multiply( multiply( inverse( inverse( X ) )
% 0.76/1.19 , Y ), Z ) ), multiply( X, add( inverse( X ), multiply( Y, Z ) ) ) ) ] )
% 0.76/1.19 , clause( 25, [ =( add( X, multiply( multiply( inverse( X ), Y ), Z ) ),
% 0.76/1.19 add( X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, clause( 1213, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.76/1.19 ) ) ) ] )
% 0.76/1.19 , 0, 12, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, Z )] )
% 0.76/1.19 , substitution( 1, [ :=( X, X ), :=( Y, multiply( multiply( inverse(
% 0.76/1.19 inverse( X ) ), Y ), Z ) )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1221, [ =( multiply( X, multiply( multiply( inverse( inverse( X ) )
% 0.76/1.19 , Y ), Z ) ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 42, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, clause( 1220, [ =( multiply( X, multiply( multiply( inverse( inverse(
% 0.76/1.19 X ) ), Y ), Z ) ), multiply( X, add( inverse( X ), multiply( Y, Z ) ) ) )
% 0.76/1.19 ] )
% 0.76/1.19 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1222, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.76/1.19 X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 204, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1221, [ =( multiply( X, multiply( multiply( inverse( inverse(
% 0.76/1.19 X ) ), Y ), Z ) ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1223, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 369, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ),
% 0.76/1.19 multiply( multiply( X, Y ), Z ) ) ] )
% 0.76/1.19 , 0, clause( 1222, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ),
% 0.76/1.19 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1224, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.76/1.19 Y ), Z ) ) ] )
% 0.76/1.19 , clause( 1223, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 905, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.76/1.19 ), Z ) ) ] )
% 0.76/1.19 , clause( 1224, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.76/1.19 , Y ), Z ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1227, [ ~( =( multiply( multiply( a, b ), c ), multiply( multiply(
% 0.76/1.19 a, b ), c ) ) ) ] )
% 0.76/1.19 , clause( 905, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.76/1.19 , Y ), Z ) ) ] )
% 0.76/1.19 , 0, clause( 8, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply(
% 0.76/1.19 a, b ), c ) ) ) ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 0.76/1.19 substitution( 1, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqrefl(
% 0.76/1.19 clause( 1228, [] )
% 0.76/1.19 , clause( 1227, [ ~( =( multiply( multiply( a, b ), c ), multiply( multiply(
% 0.76/1.19 a, b ), c ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 1001, [] )
% 0.76/1.19 , clause( 1228, [] )
% 0.76/1.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 end.
% 0.76/1.19
% 0.76/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.19
% 0.76/1.19 Memory use:
% 0.76/1.19
% 0.76/1.19 space for terms: 12678
% 0.76/1.19 space for clauses: 104810
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 clauses generated: 13342
% 0.76/1.19 clauses kept: 1002
% 0.76/1.19 clauses selected: 139
% 0.76/1.19 clauses deleted: 35
% 0.76/1.19 clauses inuse deleted: 19
% 0.76/1.19
% 0.76/1.19 subsentry: 1120
% 0.76/1.19 literals s-matched: 595
% 0.76/1.19 literals matched: 521
% 0.76/1.19 full subsumption: 0
% 0.76/1.19
% 0.76/1.19 checksum: -1965894942
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Bliksem ended
%------------------------------------------------------------------------------