TSTP Solution File: BOO002-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO002-1 : 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 23:30:33 EDT 2022
% Result : Unsatisfiable 0.42s 1.09s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 1 18:57:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.09 *** allocated 10000 integers for termspace/termends
% 0.42/1.09 *** allocated 10000 integers for clauses
% 0.42/1.09 *** allocated 10000 integers for justifications
% 0.42/1.09 Bliksem 1.12
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Automatic Strategy Selection
% 0.42/1.09
% 0.42/1.09 Clauses:
% 0.42/1.09 [
% 0.42/1.09 [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ), multiply(
% 0.42/1.09 X, Y, multiply( Z, T, U ) ) ) ],
% 0.42/1.09 [ =( multiply( X, Y, Y ), Y ) ],
% 0.42/1.09 [ =( multiply( X, X, Y ), X ) ],
% 0.42/1.09 [ =( multiply( inverse( X ), X, Y ), Y ) ],
% 0.42/1.09 [ ~( =( multiply( a, inverse( a ), b ), b ) ) ]
% 0.42/1.09 ] .
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.09 This is a pure equality problem
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Options Used:
% 0.42/1.09
% 0.42/1.09 useres = 1
% 0.42/1.09 useparamod = 1
% 0.42/1.09 useeqrefl = 1
% 0.42/1.09 useeqfact = 1
% 0.42/1.09 usefactor = 1
% 0.42/1.09 usesimpsplitting = 0
% 0.42/1.09 usesimpdemod = 5
% 0.42/1.09 usesimpres = 3
% 0.42/1.09
% 0.42/1.09 resimpinuse = 1000
% 0.42/1.09 resimpclauses = 20000
% 0.42/1.09 substype = eqrewr
% 0.42/1.09 backwardsubs = 1
% 0.42/1.09 selectoldest = 5
% 0.42/1.09
% 0.42/1.09 litorderings [0] = split
% 0.42/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.09
% 0.42/1.09 termordering = kbo
% 0.42/1.09
% 0.42/1.09 litapriori = 0
% 0.42/1.09 termapriori = 1
% 0.42/1.09 litaposteriori = 0
% 0.42/1.09 termaposteriori = 0
% 0.42/1.09 demodaposteriori = 0
% 0.42/1.09 ordereqreflfact = 0
% 0.42/1.09
% 0.42/1.09 litselect = negord
% 0.42/1.09
% 0.42/1.09 maxweight = 15
% 0.42/1.09 maxdepth = 30000
% 0.42/1.09 maxlength = 115
% 0.42/1.09 maxnrvars = 195
% 0.42/1.09 excuselevel = 1
% 0.42/1.09 increasemaxweight = 1
% 0.42/1.09
% 0.42/1.09 maxselected = 10000000
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09
% 0.42/1.09 showgenerated = 0
% 0.42/1.09 showkept = 0
% 0.42/1.09 showselected = 0
% 0.42/1.09 showdeleted = 0
% 0.42/1.09 showresimp = 1
% 0.42/1.09 showstatus = 2000
% 0.42/1.09
% 0.42/1.09 prologoutput = 1
% 0.42/1.09 nrgoals = 5000000
% 0.42/1.09 totalproof = 1
% 0.42/1.09
% 0.42/1.09 Symbols occurring in the translation:
% 0.42/1.09
% 0.42/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.42/1.09 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.42/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.09 multiply [42, 3] (w:1, o:47, a:1, s:1, b:0),
% 0.42/1.09 inverse [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.09 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.42/1.09 b [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Bliksems!, er is een bewijs:
% 0.42/1.09 % SZS status Unsatisfiable
% 0.42/1.09 % SZS output start Refutation
% 0.42/1.09
% 0.42/1.09 clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.42/1.09 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 3, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 4, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 8, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.42/1.09 multiply( Y, Z, T ) ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 9, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.42/1.09 X, Y, Z ), T, Y ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 11, [ =( multiply( X, Z, X ), X ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 13, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply( multiply(
% 0.42/1.09 X, Y, Z ), T, X ) ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 14, [ =( multiply( multiply( Y, Z, inverse( X ) ), X, Y ), Y ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 16, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X )
% 0.42/1.09 ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 19, [ =( multiply( multiply( X, Y, Z ), X, Y ), multiply( Z, X, Y )
% 0.42/1.09 ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 28, [ =( multiply( multiply( X, Y, Z ), Y, Z ), multiply( X, Y, Z )
% 0.42/1.09 ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 31, [ =( multiply( multiply( Z, Y, X ), X, Y ), multiply( Z, Y, X )
% 0.42/1.09 ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 38, [ =( multiply( Z, multiply( X, Y, Z ), Y ), multiply( X, Y, Z )
% 0.42/1.09 ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 41, [ =( multiply( multiply( Y, inverse( Z ), X ), Z, X ), X ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 45, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y, Z )
% 0.42/1.09 ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 56, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.42/1.09 .
% 0.42/1.09 clause( 59, [] )
% 0.42/1.09 .
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 % SZS output end Refutation
% 0.42/1.09 found a proof!
% 0.42/1.09
% 0.42/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.09
% 0.42/1.09 initialclauses(
% 0.42/1.09 [ clause( 61, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) )
% 0.42/1.09 , multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.42/1.09 , clause( 62, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.42/1.09 , clause( 63, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.09 , clause( 64, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.42/1.09 , clause( 65, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.42/1.09 ] ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.42/1.09 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.42/1.09 , clause( 61, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) )
% 0.42/1.09 , multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.42/1.09 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.42/1.09 , clause( 62, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.09 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.09 , clause( 63, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.09 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 3, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.42/1.09 , clause( 64, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.09 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 4, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.42/1.09 , clause( 65, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.42/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 eqswap(
% 0.42/1.09 clause( 82, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply( multiply(
% 0.42/1.09 X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.42/1.09 , clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.42/1.09 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.42/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.42/1.09 :=( U, U )] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 paramod(
% 0.42/1.09 clause( 88, [ =( multiply( X, Y, multiply( Y, Z, T ) ), multiply( Y, Z,
% 0.42/1.09 multiply( X, Y, T ) ) ) ] )
% 0.42/1.09 , clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.42/1.09 , 0, clause( 82, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply(
% 0.42/1.09 multiply( X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.42/1.09 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 eqswap(
% 0.42/1.09 clause( 93, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.42/1.09 multiply( Y, Z, T ) ) ) ] )
% 0.42/1.09 , clause( 88, [ =( multiply( X, Y, multiply( Y, Z, T ) ), multiply( Y, Z,
% 0.42/1.09 multiply( X, Y, T ) ) ) ] )
% 0.42/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.09 ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 8, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.42/1.09 multiply( Y, Z, T ) ) ) ] )
% 0.42/1.09 , clause( 93, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.42/1.09 multiply( Y, Z, T ) ) ) ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 eqswap(
% 0.42/1.09 clause( 96, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply( multiply(
% 0.42/1.09 X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.42/1.09 , clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.42/1.09 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.42/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.42/1.09 :=( U, U )] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 paramod(
% 0.42/1.09 clause( 103, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.42/1.09 X, Y, Z ), T, Y ) ) ] )
% 0.42/1.09 , clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.42/1.09 , 0, clause( 96, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply(
% 0.42/1.09 multiply( X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.42/1.09 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, Y )] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 subsumption(
% 0.42/1.09 clause( 9, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.42/1.09 X, Y, Z ), T, Y ) ) ] )
% 0.42/1.09 , clause( 103, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply(
% 0.42/1.09 multiply( X, Y, Z ), T, Y ) ) ] )
% 0.42/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 eqswap(
% 0.42/1.09 clause( 110, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply( multiply(
% 0.42/1.09 X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.42/1.09 , clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.42/1.09 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.42/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.42/1.09 :=( U, U )] )).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 paramod(
% 0.42/1.09 clause( 118, [ =( multiply( X, X, multiply( Y, Z, T ) ), multiply( multiply(
% 0.42/1.09 X, X, Y ), Z, X ) ) ] )
% 0.42/1.09 , clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.10 , 0, clause( 110, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply(
% 0.42/1.10 multiply( X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.42/1.10 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, T )] ), substitution( 1, [
% 0.42/1.10 :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 124, [ =( multiply( X, X, multiply( Y, Z, T ) ), multiply( X, Z, X
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.10 , 0, clause( 118, [ =( multiply( X, X, multiply( Y, Z, T ) ), multiply(
% 0.42/1.10 multiply( X, X, Y ), Z, X ) ) ] )
% 0.42/1.10 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.10 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 126, [ =( X, multiply( X, Z, X ) ) ] )
% 0.42/1.10 , clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.10 , 0, clause( 124, [ =( multiply( X, X, multiply( Y, Z, T ) ), multiply( X,
% 0.42/1.10 Z, X ) ) ] )
% 0.42/1.10 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z, T ) )] ),
% 0.42/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 127, [ =( multiply( X, Y, X ), X ) ] )
% 0.42/1.10 , clause( 126, [ =( X, multiply( X, Z, X ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 11, [ =( multiply( X, Z, X ), X ) ] )
% 0.42/1.10 , clause( 127, [ =( multiply( X, Y, X ), X ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.10 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 129, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply( multiply(
% 0.42/1.10 X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.42/1.10 , clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.42/1.10 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.42/1.10 :=( U, U )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 136, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply( multiply(
% 0.42/1.10 X, Y, Z ), T, X ) ) ] )
% 0.42/1.10 , clause( 11, [ =( multiply( X, Z, X ), X ) ] )
% 0.42/1.10 , 0, clause( 129, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply(
% 0.42/1.10 multiply( X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.42/1.10 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, U ), :=( Z, Y )] ),
% 0.42/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.42/1.10 , X )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 13, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply( multiply(
% 0.42/1.10 X, Y, Z ), T, X ) ) ] )
% 0.42/1.10 , clause( 136, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply(
% 0.42/1.10 multiply( X, Y, Z ), T, X ) ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 143, [ =( multiply( multiply( X, Y, Z ), T, X ), multiply( X, Y,
% 0.42/1.10 multiply( Z, T, X ) ) ) ] )
% 0.42/1.10 , clause( 13, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply(
% 0.42/1.10 multiply( X, Y, Z ), T, X ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.10 ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 148, [ =( multiply( multiply( X, Y, inverse( Z ) ), Z, X ),
% 0.42/1.10 multiply( X, Y, X ) ) ] )
% 0.42/1.10 , clause( 3, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.42/1.10 , 0, clause( 143, [ =( multiply( multiply( X, Y, Z ), T, X ), multiply( X,
% 0.42/1.10 Y, multiply( Z, T, X ) ) ) ] )
% 0.42/1.10 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.10 :=( X, X ), :=( Y, Y ), :=( Z, inverse( Z ) ), :=( T, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 150, [ =( multiply( multiply( X, Y, inverse( Z ) ), Z, X ), X ) ]
% 0.42/1.10 )
% 0.42/1.10 , clause( 11, [ =( multiply( X, Z, X ), X ) ] )
% 0.42/1.10 , 0, clause( 148, [ =( multiply( multiply( X, Y, inverse( Z ) ), Z, X ),
% 0.42/1.10 multiply( X, Y, X ) ) ] )
% 0.42/1.10 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y )] ),
% 0.42/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 14, [ =( multiply( multiply( Y, Z, inverse( X ) ), X, Y ), Y ) ] )
% 0.42/1.10 , clause( 150, [ =( multiply( multiply( X, Y, inverse( Z ) ), Z, X ), X ) ]
% 0.42/1.10 )
% 0.42/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 153, [ =( multiply( multiply( X, Y, Z ), T, X ), multiply( X, Y,
% 0.42/1.10 multiply( Z, T, X ) ) ) ] )
% 0.42/1.10 , clause( 13, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply(
% 0.42/1.10 multiply( X, Y, Z ), T, X ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.10 ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 159, [ =( multiply( multiply( X, Y, Z ), Z, X ), multiply( X, Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.10 , 0, clause( 153, [ =( multiply( multiply( X, Y, Z ), T, X ), multiply( X,
% 0.42/1.10 Y, multiply( Z, T, X ) ) ) ] )
% 0.42/1.10 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.10 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 16, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X )
% 0.42/1.10 ) ] )
% 0.42/1.10 , clause( 159, [ =( multiply( multiply( X, Y, Z ), Z, X ), multiply( X, Y,
% 0.42/1.10 Z ) ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 167, [ =( multiply( Z, X, multiply( X, Y, T ) ), multiply( X, Y,
% 0.42/1.10 multiply( Z, X, T ) ) ) ] )
% 0.42/1.10 , clause( 8, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.42/1.10 multiply( Y, Z, T ) ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.42/1.10 ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 170, [ =( multiply( X, Y, Z ), multiply( Y, Z, multiply( X, Y, Z )
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.42/1.10 , 0, clause( 167, [ =( multiply( Z, X, multiply( X, Y, T ) ), multiply( X,
% 0.42/1.10 Y, multiply( Z, X, T ) ) ) ] )
% 0.42/1.10 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.42/1.10 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 175, [ =( multiply( X, Y, Z ), multiply( multiply( Y, Z, X ), Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 9, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.42/1.10 X, Y, Z ), T, Y ) ) ] )
% 0.42/1.10 , 0, clause( 170, [ =( multiply( X, Y, Z ), multiply( Y, Z, multiply( X, Y
% 0.42/1.10 , Z ) ) ) ] )
% 0.42/1.10 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.42/1.10 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 176, [ =( multiply( multiply( Y, Z, X ), Y, Z ), multiply( X, Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 175, [ =( multiply( X, Y, Z ), multiply( multiply( Y, Z, X ), Y,
% 0.42/1.10 Z ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 19, [ =( multiply( multiply( X, Y, Z ), X, Y ), multiply( Z, X, Y )
% 0.42/1.10 ) ] )
% 0.42/1.10 , clause( 176, [ =( multiply( multiply( Y, Z, X ), Y, Z ), multiply( X, Y,
% 0.42/1.10 Z ) ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 177, [ =( multiply( multiply( X, Y, Z ), T, Y ), multiply( X, Y,
% 0.42/1.10 multiply( Z, T, Y ) ) ) ] )
% 0.42/1.10 , clause( 9, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.42/1.10 X, Y, Z ), T, Y ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.10 ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 181, [ =( multiply( multiply( multiply( X, Y, Z ), Z, X ), Y, Z ),
% 0.42/1.10 multiply( X, Y, Z ) ) ] )
% 0.42/1.10 , clause( 11, [ =( multiply( X, Z, X ), X ) ] )
% 0.42/1.10 , 0, clause( 177, [ =( multiply( multiply( X, Y, Z ), T, Y ), multiply( X,
% 0.42/1.10 Y, multiply( Z, T, Y ) ) ) ] )
% 0.42/1.10 , 0, 11, substitution( 0, [ :=( X, multiply( X, Y, Z ) ), :=( Y, T ), :=( Z
% 0.42/1.10 , Z )] ), substitution( 1, [ :=( X, multiply( X, Y, Z ) ), :=( Y, Z ),
% 0.42/1.10 :=( Z, X ), :=( T, Y )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 183, [ =( multiply( multiply( X, Y, Z ), Y, Z ), multiply( X, Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 16, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , 0, clause( 181, [ =( multiply( multiply( multiply( X, Y, Z ), Z, X ), Y,
% 0.42/1.10 Z ), multiply( X, Y, Z ) ) ] )
% 0.42/1.10 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 28, [ =( multiply( multiply( X, Y, Z ), Y, Z ), multiply( X, Y, Z )
% 0.42/1.10 ) ] )
% 0.42/1.10 , clause( 183, [ =( multiply( multiply( X, Y, Z ), Y, Z ), multiply( X, Y,
% 0.42/1.10 Z ) ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 186, [ =( multiply( multiply( X, Y, Z ), T, Y ), multiply( X, Y,
% 0.42/1.10 multiply( Z, T, Y ) ) ) ] )
% 0.42/1.10 , clause( 9, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.42/1.10 X, Y, Z ), T, Y ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.10 ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 192, [ =( multiply( multiply( X, Y, Z ), Z, Y ), multiply( X, Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.10 , 0, clause( 186, [ =( multiply( multiply( X, Y, Z ), T, Y ), multiply( X,
% 0.42/1.10 Y, multiply( Z, T, Y ) ) ) ] )
% 0.42/1.10 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.10 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 31, [ =( multiply( multiply( Z, Y, X ), X, Y ), multiply( Z, Y, X )
% 0.42/1.10 ) ] )
% 0.42/1.10 , clause( 192, [ =( multiply( multiply( X, Y, Z ), Z, Y ), multiply( X, Y,
% 0.42/1.10 Z ) ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 200, [ =( multiply( Z, X, Y ), multiply( multiply( X, Y, Z ), X, Y
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 19, [ =( multiply( multiply( X, Y, Z ), X, Y ), multiply( Z, X, Y
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 211, [ =( multiply( X, multiply( Y, Z, X ), Z ), multiply( multiply(
% 0.42/1.10 Y, Z, X ), multiply( Y, Z, X ), Z ) ) ] )
% 0.42/1.10 , clause( 28, [ =( multiply( multiply( X, Y, Z ), Y, Z ), multiply( X, Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , 0, clause( 200, [ =( multiply( Z, X, Y ), multiply( multiply( X, Y, Z ),
% 0.42/1.10 X, Y ) ) ] )
% 0.42/1.10 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.10 substitution( 1, [ :=( X, multiply( Y, Z, X ) ), :=( Y, Z ), :=( Z, X )] )
% 0.42/1.10 ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 212, [ =( multiply( X, multiply( Y, Z, X ), Z ), multiply( Y, Z, X
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.42/1.10 , 0, clause( 211, [ =( multiply( X, multiply( Y, Z, X ), Z ), multiply(
% 0.42/1.10 multiply( Y, Z, X ), multiply( Y, Z, X ), Z ) ) ] )
% 0.42/1.10 , 0, 8, substitution( 0, [ :=( X, multiply( Y, Z, X ) ), :=( Y, Z )] ),
% 0.42/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 38, [ =( multiply( Z, multiply( X, Y, Z ), Y ), multiply( X, Y, Z )
% 0.42/1.10 ) ] )
% 0.42/1.10 , clause( 212, [ =( multiply( X, multiply( Y, Z, X ), Z ), multiply( Y, Z,
% 0.42/1.10 X ) ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 215, [ =( X, multiply( multiply( X, Y, inverse( Z ) ), Z, X ) ) ]
% 0.42/1.10 )
% 0.42/1.10 , clause( 14, [ =( multiply( multiply( Y, Z, inverse( X ) ), X, Y ), Y ) ]
% 0.42/1.10 )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 222, [ =( X, multiply( multiply( Y, inverse( Z ), X ), Z, X ) ) ]
% 0.42/1.10 )
% 0.42/1.10 , clause( 38, [ =( multiply( Z, multiply( X, Y, Z ), Y ), multiply( X, Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , 0, clause( 215, [ =( X, multiply( multiply( X, Y, inverse( Z ) ), Z, X )
% 0.42/1.10 ) ] )
% 0.42/1.10 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( Z ) ), :=( Z, X )] )
% 0.42/1.10 , substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, inverse( Z ), X ) )
% 0.42/1.10 , :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 223, [ =( multiply( multiply( Y, inverse( Z ), X ), Z, X ), X ) ]
% 0.42/1.10 )
% 0.42/1.10 , clause( 222, [ =( X, multiply( multiply( Y, inverse( Z ), X ), Z, X ) ) ]
% 0.42/1.10 )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 41, [ =( multiply( multiply( Y, inverse( Z ), X ), Z, X ), X ) ] )
% 0.42/1.10 , clause( 223, [ =( multiply( multiply( Y, inverse( Z ), X ), Z, X ), X ) ]
% 0.42/1.10 )
% 0.42/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 225, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ), Z, Y
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 31, [ =( multiply( multiply( Z, Y, X ), X, Y ), multiply( Z, Y, X
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 234, [ =( multiply( multiply( X, Y, Z ), Z, X ), multiply( multiply(
% 0.42/1.10 X, Y, Z ), X, Z ) ) ] )
% 0.42/1.10 , clause( 16, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , 0, clause( 225, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ),
% 0.42/1.10 Z, Y ) ) ] )
% 0.42/1.10 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.10 substitution( 1, [ :=( X, multiply( X, Y, Z ) ), :=( Y, Z ), :=( Z, X )] )
% 0.42/1.10 ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 236, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ), X, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 16, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , 0, clause( 234, [ =( multiply( multiply( X, Y, Z ), Z, X ), multiply(
% 0.42/1.10 multiply( X, Y, Z ), X, Z ) ) ] )
% 0.42/1.10 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 238, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 236, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ), X,
% 0.42/1.10 Z ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 45, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y, Z )
% 0.42/1.10 ) ] )
% 0.42/1.10 , clause( 238, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y,
% 0.42/1.10 Z ) ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 240, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ), X, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , clause( 45, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y, Z
% 0.42/1.10 ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 paramod(
% 0.42/1.10 clause( 244, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.42/1.10 , clause( 41, [ =( multiply( multiply( Y, inverse( Z ), X ), Z, X ), X ) ]
% 0.42/1.10 )
% 0.42/1.10 , 0, clause( 240, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ),
% 0.42/1.10 X, Z ) ) ] )
% 0.42/1.10 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.42/1.10 substitution( 1, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 56, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.42/1.10 , clause( 244, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.42/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.10 )] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 250, [ =( Y, multiply( X, inverse( X ), Y ) ) ] )
% 0.42/1.10 , clause( 56, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.42/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 eqswap(
% 0.42/1.10 clause( 251, [ ~( =( b, multiply( a, inverse( a ), b ) ) ) ] )
% 0.42/1.10 , clause( 4, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [] )).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 resolution(
% 0.42/1.10 clause( 252, [] )
% 0.42/1.10 , clause( 251, [ ~( =( b, multiply( a, inverse( a ), b ) ) ) ] )
% 0.42/1.10 , 0, clause( 250, [ =( Y, multiply( X, inverse( X ), Y ) ) ] )
% 0.42/1.10 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.42/1.10 ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 subsumption(
% 0.42/1.10 clause( 59, [] )
% 0.42/1.10 , clause( 252, [] )
% 0.42/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 end.
% 0.42/1.10
% 0.42/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.10
% 0.42/1.10 Memory use:
% 0.42/1.10
% 0.42/1.10 space for terms: 916
% 0.42/1.10 space for clauses: 7395
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 clauses generated: 1643
% 0.42/1.10 clauses kept: 60
% 0.42/1.10 clauses selected: 32
% 0.42/1.10 clauses deleted: 1
% 0.42/1.10 clauses inuse deleted: 0
% 0.42/1.10
% 0.42/1.10 subsentry: 832
% 0.42/1.10 literals s-matched: 246
% 0.42/1.10 literals matched: 165
% 0.42/1.10 full subsumption: 0
% 0.42/1.10
% 0.42/1.10 checksum: 2130142962
% 0.42/1.10
% 0.42/1.10
% 0.42/1.10 Bliksem ended
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