TSTP Solution File: GRP756-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP756-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:39:26 EDT 2022
% Result : Unsatisfiable 0.44s 1.07s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP756-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 14 09:10:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.44/1.07 *** allocated 10000 integers for termspace/termends
% 0.44/1.07 *** allocated 10000 integers for clauses
% 0.44/1.07 *** allocated 10000 integers for justifications
% 0.44/1.07 Bliksem 1.12
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Automatic Strategy Selection
% 0.44/1.07
% 0.44/1.07 Clauses:
% 0.44/1.07 [
% 0.44/1.07 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.44/1.07 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.44/1.07 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.44/1.07 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.44/1.07 [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( X, Y ), mult( Y, Z
% 0.44/1.07 ) ) ) ],
% 0.44/1.07 [ ~( =( mult( mult( a, b ), c ), mult( a, mult( b, c ) ) ) ) ]
% 0.44/1.07 ] .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/1.07 This is a pure equality problem
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Options Used:
% 0.44/1.07
% 0.44/1.07 useres = 1
% 0.44/1.07 useparamod = 1
% 0.44/1.07 useeqrefl = 1
% 0.44/1.07 useeqfact = 1
% 0.44/1.07 usefactor = 1
% 0.44/1.07 usesimpsplitting = 0
% 0.44/1.07 usesimpdemod = 5
% 0.44/1.07 usesimpres = 3
% 0.44/1.07
% 0.44/1.07 resimpinuse = 1000
% 0.44/1.07 resimpclauses = 20000
% 0.44/1.07 substype = eqrewr
% 0.44/1.07 backwardsubs = 1
% 0.44/1.07 selectoldest = 5
% 0.44/1.07
% 0.44/1.07 litorderings [0] = split
% 0.44/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.07
% 0.44/1.07 termordering = kbo
% 0.44/1.07
% 0.44/1.07 litapriori = 0
% 0.44/1.07 termapriori = 1
% 0.44/1.07 litaposteriori = 0
% 0.44/1.07 termaposteriori = 0
% 0.44/1.07 demodaposteriori = 0
% 0.44/1.07 ordereqreflfact = 0
% 0.44/1.07
% 0.44/1.07 litselect = negord
% 0.44/1.07
% 0.44/1.07 maxweight = 15
% 0.44/1.07 maxdepth = 30000
% 0.44/1.07 maxlength = 115
% 0.44/1.07 maxnrvars = 195
% 0.44/1.07 excuselevel = 1
% 0.44/1.07 increasemaxweight = 1
% 0.44/1.07
% 0.44/1.07 maxselected = 10000000
% 0.44/1.07 maxnrclauses = 10000000
% 0.44/1.07
% 0.44/1.07 showgenerated = 0
% 0.44/1.07 showkept = 0
% 0.44/1.07 showselected = 0
% 0.44/1.07 showdeleted = 0
% 0.44/1.07 showresimp = 1
% 0.44/1.07 showstatus = 2000
% 0.44/1.07
% 0.44/1.07 prologoutput = 1
% 0.44/1.07 nrgoals = 5000000
% 0.44/1.07 totalproof = 1
% 0.44/1.07
% 0.44/1.07 Symbols occurring in the translation:
% 0.44/1.07
% 0.44/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.07 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.44/1.07 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.44/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ld [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.44/1.07 mult [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.44/1.07 rd [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.44/1.07 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.07 b [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/1.07 c [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Starting Search:
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Bliksems!, er is een bewijs:
% 0.44/1.07 % SZS status Unsatisfiable
% 0.44/1.07 % SZS output start Refutation
% 0.44/1.07
% 0.44/1.07 clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 4, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( X, Y ),
% 0.44/1.07 mult( Y, Z ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 5, [ ~( =( mult( a, mult( b, c ) ), mult( mult( a, b ), c ) ) ) ]
% 0.44/1.07 )
% 0.44/1.07 .
% 0.44/1.07 clause( 6, [ =( ld( rd( X, Y ), X ), Y ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 7, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 10, [ =( mult( mult( Z, X ), mult( X, ld( mult( X, X ), Y ) ) ),
% 0.44/1.07 mult( Z, Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 11, [ =( ld( X, mult( mult( X, Y ), mult( Y, Z ) ) ), mult( mult( Y
% 0.44/1.07 , Y ), Z ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 14, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( mult( X, X ), ld(
% 0.44/1.07 X, Y ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 16, [ =( ld( T, mult( mult( T, X ), Y ) ), ld( Z, mult( mult( Z, X
% 0.44/1.07 ), Y ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 18, [ =( mult( T, ld( Z, mult( mult( Z, X ), Y ) ) ), mult( mult( T
% 0.44/1.07 , X ), Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 21, [ =( ld( rd( X, Y ), mult( X, Z ) ), mult( mult( Y, Y ), ld( Y
% 0.44/1.07 , Z ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 23, [ =( ld( rd( T, X ), mult( T, Y ) ), ld( rd( Z, X ), mult( Z, Y
% 0.44/1.07 ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 31, [ =( rd( mult( X, Z ), ld( rd( T, Y ), mult( T, Z ) ) ), rd( X
% 0.44/1.07 , Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 35, [ =( rd( mult( Z, T ), ld( Y, mult( X, T ) ) ), rd( Z, ld( Y, X
% 0.44/1.07 ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 37, [ =( rd( X, ld( rd( Z, T ), mult( Z, Y ) ) ), rd( rd( X, Y ), T
% 0.44/1.07 ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 39, [ =( rd( U, ld( Z, mult( T, Y ) ) ), rd( rd( U, Y ), ld( Z, T )
% 0.44/1.07 ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 44, [ =( rd( Z, ld( X, X ) ), Z ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 47, [ =( rd( X, ld( mult( Z, Y ), Z ) ), mult( X, Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 74, [ =( rd( Z, ld( Y, X ) ), mult( Z, ld( X, Y ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 75, [ =( ld( mult( X, Z ), X ), ld( mult( Y, Z ), Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 87, [ =( mult( Z, ld( mult( X, Y ), X ) ), rd( Z, Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 91, [ =( mult( mult( Z, X ), rd( X, X ) ), mult( Z, X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 110, [ =( mult( Z, rd( Y, Y ) ), Z ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 123, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 134, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 135, [ =( mult( ld( Y, Y ), X ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 169, [ =( ld( T, mult( mult( T, Y ), Z ) ), mult( Y, Z ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 224, [ =( mult( T, mult( X, Y ) ), mult( mult( T, X ), Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 225, [] )
% 0.44/1.07 .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 % SZS output end Refutation
% 0.44/1.07 found a proof!
% 0.44/1.07
% 0.44/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07
% 0.44/1.07 initialclauses(
% 0.44/1.07 [ clause( 227, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.07 , clause( 228, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.07 , clause( 229, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.07 , clause( 230, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.44/1.07 , clause( 231, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( X, Y )
% 0.44/1.07 , mult( Y, Z ) ) ) ] )
% 0.44/1.07 , clause( 232, [ ~( =( mult( mult( a, b ), c ), mult( a, mult( b, c ) ) ) )
% 0.44/1.07 ] )
% 0.44/1.07 ] ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.07 , clause( 227, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.07 , clause( 228, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.07 , clause( 229, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.44/1.07 , clause( 230, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 4, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( X, Y ),
% 0.44/1.07 mult( Y, Z ) ) ) ] )
% 0.44/1.07 , clause( 231, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( X, Y )
% 0.44/1.07 , mult( Y, Z ) ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 eqswap(
% 0.44/1.07 clause( 253, [ ~( =( mult( a, mult( b, c ) ), mult( mult( a, b ), c ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 232, [ ~( =( mult( mult( a, b ), c ), mult( a, mult( b, c ) ) ) )
% 0.44/1.08 ] )
% 0.44/1.08 , 0, substitution( 0, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 5, [ ~( =( mult( a, mult( b, c ) ), mult( mult( a, b ), c ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 253, [ ~( =( mult( a, mult( b, c ) ), mult( mult( a, b ), c ) ) )
% 0.44/1.08 ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 255, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 256, [ =( X, ld( rd( Y, X ), Y ) ) ] )
% 0.44/1.08 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.08 , 0, clause( 255, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.44/1.08 :=( X, rd( Y, X ) ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 257, [ =( ld( rd( Y, X ), Y ), X ) ] )
% 0.44/1.08 , clause( 256, [ =( X, ld( rd( Y, X ), Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 6, [ =( ld( rd( X, Y ), X ), Y ) ] )
% 0.44/1.08 , clause( 257, [ =( ld( rd( Y, X ), Y ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 259, [ =( X, rd( mult( X, Y ), Y ) ) ] )
% 0.44/1.08 , clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 260, [ =( X, rd( Y, ld( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, clause( 259, [ =( X, rd( mult( X, Y ), Y ) ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, ld( X, Y ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 261, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.44/1.08 , clause( 260, [ =( X, rd( Y, ld( X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 7, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.44/1.08 , clause( 261, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 263, [ =( mult( mult( X, Y ), mult( Y, Z ) ), mult( X, mult( mult(
% 0.44/1.08 Y, Y ), Z ) ) ) ] )
% 0.44/1.08 , clause( 4, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( X, Y ),
% 0.44/1.08 mult( Y, Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 266, [ =( mult( mult( X, Y ), mult( Y, ld( mult( Y, Y ), Z ) ) ),
% 0.44/1.08 mult( X, Z ) ) ] )
% 0.44/1.08 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, clause( 263, [ =( mult( mult( X, Y ), mult( Y, Z ) ), mult( X, mult(
% 0.44/1.08 mult( Y, Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, 14, substitution( 0, [ :=( X, mult( Y, Y ) ), :=( Y, Z )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, ld( mult( Y, Y ), Z ) )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 10, [ =( mult( mult( Z, X ), mult( X, ld( mult( X, X ), Y ) ) ),
% 0.44/1.08 mult( Z, Y ) ) ] )
% 0.44/1.08 , clause( 266, [ =( mult( mult( X, Y ), mult( Y, ld( mult( Y, Y ), Z ) ) )
% 0.44/1.08 , mult( X, Z ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 271, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 272, [ =( mult( mult( X, X ), Y ), ld( Z, mult( mult( Z, X ), mult(
% 0.44/1.08 X, Y ) ) ) ) ] )
% 0.44/1.08 , clause( 4, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( X, Y ),
% 0.44/1.08 mult( Y, Z ) ) ) ] )
% 0.44/1.08 , 0, clause( 271, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.44/1.08 substitution( 1, [ :=( X, Z ), :=( Y, mult( mult( X, X ), Y ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 273, [ =( ld( Z, mult( mult( Z, X ), mult( X, Y ) ) ), mult( mult(
% 0.44/1.08 X, X ), Y ) ) ] )
% 0.44/1.08 , clause( 272, [ =( mult( mult( X, X ), Y ), ld( Z, mult( mult( Z, X ),
% 0.44/1.08 mult( X, Y ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 11, [ =( ld( X, mult( mult( X, Y ), mult( Y, Z ) ) ), mult( mult( Y
% 0.44/1.08 , Y ), Z ) ) ] )
% 0.44/1.08 , clause( 273, [ =( ld( Z, mult( mult( Z, X ), mult( X, Y ) ) ), mult( mult(
% 0.44/1.08 X, X ), Y ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 275, [ =( mult( mult( Y, Y ), Z ), ld( X, mult( mult( X, Y ), mult(
% 0.44/1.08 Y, Z ) ) ) ) ] )
% 0.44/1.08 , clause( 11, [ =( ld( X, mult( mult( X, Y ), mult( Y, Z ) ) ), mult( mult(
% 0.44/1.08 Y, Y ), Z ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 280, [ =( mult( mult( X, X ), ld( X, Y ) ), ld( Z, mult( mult( Z, X
% 0.44/1.08 ), Y ) ) ) ] )
% 0.44/1.08 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, clause( 275, [ =( mult( mult( Y, Y ), Z ), ld( X, mult( mult( X, Y ),
% 0.44/1.08 mult( Y, Z ) ) ) ) ] )
% 0.44/1.08 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.44/1.08 :=( X, Z ), :=( Y, X ), :=( Z, ld( X, Y ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 283, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( mult( X, X ), ld(
% 0.44/1.08 X, Y ) ) ) ] )
% 0.44/1.08 , clause( 280, [ =( mult( mult( X, X ), ld( X, Y ) ), ld( Z, mult( mult( Z
% 0.44/1.08 , X ), Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 14, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( mult( X, X ), ld(
% 0.44/1.08 X, Y ) ) ) ] )
% 0.44/1.08 , clause( 283, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( mult( X, X ),
% 0.44/1.08 ld( X, Y ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 284, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( X, mult( mult( X, Y
% 0.44/1.08 ), Z ) ) ) ] )
% 0.44/1.08 , clause( 14, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( mult( X, X ), ld(
% 0.44/1.08 X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 285, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( X, mult( mult( X, Y
% 0.44/1.08 ), Z ) ) ) ] )
% 0.44/1.08 , clause( 14, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( mult( X, X ), ld(
% 0.44/1.08 X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 286, [ =( ld( T, mult( mult( T, X ), Y ) ), ld( Z, mult( mult( Z, X
% 0.44/1.08 ), Y ) ) ) ] )
% 0.44/1.08 , clause( 284, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( X, mult( mult( X
% 0.44/1.08 , Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, clause( 285, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( X, mult( mult(
% 0.44/1.08 X, Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.44/1.08 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 16, [ =( ld( T, mult( mult( T, X ), Y ) ), ld( Z, mult( mult( Z, X
% 0.44/1.08 ), Y ) ) ) ] )
% 0.44/1.08 , clause( 286, [ =( ld( T, mult( mult( T, X ), Y ) ), ld( Z, mult( mult( Z
% 0.44/1.08 , X ), Y ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 295, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( X, mult( mult( X, Y
% 0.44/1.08 ), Z ) ) ) ] )
% 0.44/1.08 , clause( 14, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( mult( X, X ), ld(
% 0.44/1.08 X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 296, [ =( mult( mult( X, Y ), mult( Y, Z ) ), mult( X, mult( mult(
% 0.44/1.08 Y, Y ), Z ) ) ) ] )
% 0.44/1.08 , clause( 4, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( X, Y ),
% 0.44/1.08 mult( Y, Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 300, [ =( mult( mult( X, Y ), mult( Y, ld( Y, Z ) ) ), mult( X, ld(
% 0.44/1.08 T, mult( mult( T, Y ), Z ) ) ) ) ] )
% 0.44/1.08 , clause( 295, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( X, mult( mult( X
% 0.44/1.08 , Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, clause( 296, [ =( mult( mult( X, Y ), mult( Y, Z ) ), mult( X, mult(
% 0.44/1.08 mult( Y, Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, 12, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, ld( Y, Z ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 301, [ =( mult( mult( X, Y ), Z ), mult( X, ld( T, mult( mult( T, Y
% 0.44/1.08 ), Z ) ) ) ) ] )
% 0.44/1.08 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, clause( 300, [ =( mult( mult( X, Y ), mult( Y, ld( Y, Z ) ) ), mult( X
% 0.44/1.08 , ld( T, mult( mult( T, Y ), Z ) ) ) ) ] )
% 0.44/1.08 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 302, [ =( mult( X, ld( T, mult( mult( T, Y ), Z ) ) ), mult( mult(
% 0.44/1.08 X, Y ), Z ) ) ] )
% 0.44/1.08 , clause( 301, [ =( mult( mult( X, Y ), Z ), mult( X, ld( T, mult( mult( T
% 0.44/1.08 , Y ), Z ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 18, [ =( mult( T, ld( Z, mult( mult( Z, X ), Y ) ) ), mult( mult( T
% 0.44/1.08 , X ), Y ) ) ] )
% 0.44/1.08 , clause( 302, [ =( mult( X, ld( T, mult( mult( T, Y ), Z ) ) ), mult( mult(
% 0.44/1.08 X, Y ), Z ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 304, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( X, mult( mult( X, Y
% 0.44/1.08 ), Z ) ) ) ] )
% 0.44/1.08 , clause( 14, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( mult( X, X ), ld(
% 0.44/1.08 X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 305, [ =( mult( mult( X, X ), ld( X, Y ) ), ld( rd( Z, X ), mult( Z
% 0.44/1.08 , Y ) ) ) ] )
% 0.44/1.08 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.08 , 0, clause( 304, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( X, mult( mult(
% 0.44/1.08 X, Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.44/1.08 :=( X, rd( Z, X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 306, [ =( ld( rd( Z, X ), mult( Z, Y ) ), mult( mult( X, X ), ld( X
% 0.44/1.08 , Y ) ) ) ] )
% 0.44/1.08 , clause( 305, [ =( mult( mult( X, X ), ld( X, Y ) ), ld( rd( Z, X ), mult(
% 0.44/1.08 Z, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 21, [ =( ld( rd( X, Y ), mult( X, Z ) ), mult( mult( Y, Y ), ld( Y
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , clause( 306, [ =( ld( rd( Z, X ), mult( Z, Y ) ), mult( mult( X, X ), ld(
% 0.44/1.08 X, Y ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 307, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( rd( X, Y ), mult( X
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , clause( 21, [ =( ld( rd( X, Y ), mult( X, Z ) ), mult( mult( Y, Y ), ld(
% 0.44/1.08 Y, Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 308, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( rd( X, Y ), mult( X
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , clause( 21, [ =( ld( rd( X, Y ), mult( X, Z ) ), mult( mult( Y, Y ), ld(
% 0.44/1.08 Y, Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 309, [ =( ld( rd( T, X ), mult( T, Y ) ), ld( rd( Z, X ), mult( Z,
% 0.44/1.08 Y ) ) ) ] )
% 0.44/1.08 , clause( 307, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( rd( X, Y ), mult(
% 0.44/1.08 X, Z ) ) ) ] )
% 0.44/1.08 , 0, clause( 308, [ =( mult( mult( Y, Y ), ld( Y, Z ) ), ld( rd( X, Y ),
% 0.44/1.08 mult( X, Z ) ) ) ] )
% 0.44/1.08 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.44/1.08 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 23, [ =( ld( rd( T, X ), mult( T, Y ) ), ld( rd( Z, X ), mult( Z, Y
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , clause( 309, [ =( ld( rd( T, X ), mult( T, Y ) ), ld( rd( Z, X ), mult( Z
% 0.44/1.08 , Y ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 314, [ =( Y, rd( X, ld( Y, X ) ) ) ] )
% 0.44/1.08 , clause( 7, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 315, [ =( rd( X, Y ), rd( mult( X, Z ), ld( rd( T, Y ), mult( T, Z
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , clause( 23, [ =( ld( rd( T, X ), mult( T, Y ) ), ld( rd( Z, X ), mult( Z
% 0.44/1.08 , Y ) ) ) ] )
% 0.44/1.08 , 0, clause( 314, [ =( Y, rd( X, ld( Y, X ) ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.44/1.08 , substitution( 1, [ :=( X, mult( X, Z ) ), :=( Y, rd( X, Y ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 316, [ =( rd( mult( X, Z ), ld( rd( T, Y ), mult( T, Z ) ) ), rd( X
% 0.44/1.08 , Y ) ) ] )
% 0.44/1.08 , clause( 315, [ =( rd( X, Y ), rd( mult( X, Z ), ld( rd( T, Y ), mult( T,
% 0.44/1.08 Z ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 31, [ =( rd( mult( X, Z ), ld( rd( T, Y ), mult( T, Z ) ) ), rd( X
% 0.44/1.08 , Y ) ) ] )
% 0.44/1.08 , clause( 316, [ =( rd( mult( X, Z ), ld( rd( T, Y ), mult( T, Z ) ) ), rd(
% 0.44/1.08 X, Y ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 318, [ =( rd( X, T ), rd( mult( X, Y ), ld( rd( Z, T ), mult( Z, Y
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , clause( 31, [ =( rd( mult( X, Z ), ld( rd( T, Y ), mult( T, Z ) ) ), rd(
% 0.44/1.08 X, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 322, [ =( rd( X, ld( Y, Z ) ), rd( mult( X, T ), ld( Y, mult( Z, T
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , clause( 7, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.44/1.08 , 0, clause( 318, [ =( rd( X, T ), rd( mult( X, Y ), ld( rd( Z, T ), mult(
% 0.44/1.08 Z, Y ) ) ) ) ] )
% 0.44/1.08 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, ld( Y, Z ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 324, [ =( rd( mult( X, T ), ld( Y, mult( Z, T ) ) ), rd( X, ld( Y,
% 0.44/1.08 Z ) ) ) ] )
% 0.44/1.08 , clause( 322, [ =( rd( X, ld( Y, Z ) ), rd( mult( X, T ), ld( Y, mult( Z,
% 0.44/1.08 T ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 35, [ =( rd( mult( Z, T ), ld( Y, mult( X, T ) ) ), rd( Z, ld( Y, X
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , clause( 324, [ =( rd( mult( X, T ), ld( Y, mult( Z, T ) ) ), rd( X, ld( Y
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 326, [ =( rd( X, T ), rd( mult( X, Y ), ld( rd( Z, T ), mult( Z, Y
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , clause( 31, [ =( rd( mult( X, Z ), ld( rd( T, Y ), mult( T, Z ) ) ), rd(
% 0.44/1.08 X, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 329, [ =( rd( rd( X, Y ), Z ), rd( X, ld( rd( T, Z ), mult( T, Y )
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.08 , 0, clause( 326, [ =( rd( X, T ), rd( mult( X, Y ), ld( rd( Z, T ), mult(
% 0.44/1.08 Z, Y ) ) ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.44/1.08 :=( X, rd( X, Y ) ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 331, [ =( rd( X, ld( rd( T, Z ), mult( T, Y ) ) ), rd( rd( X, Y ),
% 0.44/1.08 Z ) ) ] )
% 0.44/1.08 , clause( 329, [ =( rd( rd( X, Y ), Z ), rd( X, ld( rd( T, Z ), mult( T, Y
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 37, [ =( rd( X, ld( rd( Z, T ), mult( Z, Y ) ) ), rd( rd( X, Y ), T
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 331, [ =( rd( X, ld( rd( T, Z ), mult( T, Y ) ) ), rd( rd( X, Y )
% 0.44/1.08 , Z ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 334, [ =( rd( X, T ), rd( mult( X, Y ), ld( rd( Z, T ), mult( Z, Y
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , clause( 31, [ =( rd( mult( X, Z ), ld( rd( T, Y ), mult( T, Z ) ) ), rd(
% 0.44/1.08 X, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 345, [ =( rd( X, ld( Y, mult( Z, T ) ) ), rd( mult( X, U ), ld( rd(
% 0.44/1.08 W, ld( Y, Z ) ), mult( mult( W, T ), U ) ) ) ) ] )
% 0.44/1.08 , clause( 35, [ =( rd( mult( Z, T ), ld( Y, mult( X, T ) ) ), rd( Z, ld( Y
% 0.44/1.08 , X ) ) ) ] )
% 0.44/1.08 , 0, clause( 334, [ =( rd( X, T ), rd( mult( X, Y ), ld( rd( Z, T ), mult(
% 0.44/1.08 Z, Y ) ) ) ) ] )
% 0.44/1.08 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, W ), :=( T, T )] )
% 0.44/1.08 , substitution( 1, [ :=( X, X ), :=( Y, U ), :=( Z, mult( W, T ) ), :=( T
% 0.44/1.08 , ld( Y, mult( Z, T ) ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 348, [ =( rd( X, ld( Y, mult( Z, T ) ) ), rd( X, ld( rd( W, ld( Y,
% 0.44/1.08 Z ) ), mult( W, T ) ) ) ) ] )
% 0.44/1.08 , clause( 35, [ =( rd( mult( Z, T ), ld( Y, mult( X, T ) ) ), rd( Z, ld( Y
% 0.44/1.08 , X ) ) ) ] )
% 0.44/1.08 , 0, clause( 345, [ =( rd( X, ld( Y, mult( Z, T ) ) ), rd( mult( X, U ), ld(
% 0.44/1.08 rd( W, ld( Y, Z ) ), mult( mult( W, T ), U ) ) ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, mult( W, T ) ), :=( Y, rd( W, ld( Y, Z )
% 0.44/1.08 ) ), :=( Z, X ), :=( T, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.44/1.08 ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 349, [ =( rd( X, ld( Y, mult( Z, T ) ) ), rd( rd( X, T ), ld( Y, Z
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , clause( 37, [ =( rd( X, ld( rd( Z, T ), mult( Z, Y ) ) ), rd( rd( X, Y )
% 0.44/1.08 , T ) ) ] )
% 0.44/1.08 , 0, clause( 348, [ =( rd( X, ld( Y, mult( Z, T ) ) ), rd( X, ld( rd( W, ld(
% 0.44/1.08 Y, Z ) ), mult( W, T ) ) ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, U ), :=( T, ld( Y
% 0.44/1.08 , Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T
% 0.44/1.08 , T ), :=( U, W ), :=( W, U )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 39, [ =( rd( U, ld( Z, mult( T, Y ) ) ), rd( rd( U, Y ), ld( Z, T )
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 349, [ =( rd( X, ld( Y, mult( Z, T ) ) ), rd( rd( X, T ), ld( Y,
% 0.44/1.08 Z ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, U ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 352, [ =( rd( X, ld( Z, T ) ), rd( mult( X, Y ), ld( Z, mult( T, Y
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , clause( 35, [ =( rd( mult( Z, T ), ld( Y, mult( X, T ) ) ), rd( Z, ld( Y
% 0.44/1.08 , X ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 355, [ =( rd( X, ld( Y, Y ) ), rd( mult( X, Z ), Z ) ) ] )
% 0.44/1.08 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, clause( 352, [ =( rd( X, ld( Z, T ) ), rd( mult( X, Y ), ld( Z, mult(
% 0.44/1.08 T, Y ) ) ) ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 356, [ =( rd( X, ld( Y, Y ) ), X ) ] )
% 0.44/1.08 , clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.44/1.08 , 0, clause( 355, [ =( rd( X, ld( Y, Y ) ), rd( mult( X, Z ), Z ) ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 44, [ =( rd( Z, ld( X, X ) ), Z ) ] )
% 0.44/1.08 , clause( 356, [ =( rd( X, ld( Y, Y ) ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 358, [ =( X, rd( X, ld( Y, Y ) ) ) ] )
% 0.44/1.08 , clause( 44, [ =( rd( Z, ld( X, X ) ), Z ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 360, [ =( mult( X, Y ), rd( X, ld( mult( Z, Y ), Z ) ) ) ] )
% 0.44/1.08 , clause( 35, [ =( rd( mult( Z, T ), ld( Y, mult( X, T ) ) ), rd( Z, ld( Y
% 0.44/1.08 , X ) ) ) ] )
% 0.44/1.08 , 0, clause( 358, [ =( X, rd( X, ld( Y, Y ) ) ) ] )
% 0.44/1.08 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, mult( Z, Y ) ), :=( Z, X ),
% 0.44/1.08 :=( T, Y )] ), substitution( 1, [ :=( X, mult( X, Y ) ), :=( Y, mult( Z,
% 0.44/1.08 Y ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 361, [ =( rd( X, ld( mult( Z, Y ), Z ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , clause( 360, [ =( mult( X, Y ), rd( X, ld( mult( Z, Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 47, [ =( rd( X, ld( mult( Z, Y ), Z ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , clause( 361, [ =( rd( X, ld( mult( Z, Y ), Z ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 363, [ =( mult( X, Z ), rd( X, ld( mult( Y, Z ), Y ) ) ) ] )
% 0.44/1.08 , clause( 47, [ =( rd( X, ld( mult( Z, Y ), Z ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 365, [ =( mult( X, ld( Y, Z ) ), rd( X, ld( Z, Y ) ) ) ] )
% 0.44/1.08 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, clause( 363, [ =( mult( X, Z ), rd( X, ld( mult( Y, Z ), Y ) ) ) ] )
% 0.44/1.08 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y ), :=( Z, ld( Y, Z ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 367, [ =( rd( X, ld( Z, Y ) ), mult( X, ld( Y, Z ) ) ) ] )
% 0.44/1.08 , clause( 365, [ =( mult( X, ld( Y, Z ) ), rd( X, ld( Z, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 74, [ =( rd( Z, ld( Y, X ) ), mult( Z, ld( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 367, [ =( rd( X, ld( Z, Y ) ), mult( X, ld( Y, Z ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 369, [ =( Y, ld( rd( X, Y ), X ) ) ] )
% 0.44/1.08 , clause( 6, [ =( ld( rd( X, Y ), X ), Y ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 370, [ =( ld( mult( X, Y ), X ), ld( mult( Z, Y ), Z ) ) ] )
% 0.44/1.08 , clause( 47, [ =( rd( X, ld( mult( Z, Y ), Z ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , 0, clause( 369, [ =( Y, ld( rd( X, Y ), X ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.44/1.08 substitution( 1, [ :=( X, Z ), :=( Y, ld( mult( X, Y ), X ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 75, [ =( ld( mult( X, Z ), X ), ld( mult( Y, Z ), Y ) ) ] )
% 0.44/1.08 , clause( 370, [ =( ld( mult( X, Y ), X ), ld( mult( Z, Y ), Z ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 372, [ =( mult( X, ld( Z, Y ) ), rd( X, ld( Y, Z ) ) ) ] )
% 0.44/1.08 , clause( 74, [ =( rd( Z, ld( Y, X ) ), mult( Z, ld( X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 374, [ =( mult( X, ld( mult( Y, Z ), Y ) ), rd( X, Z ) ) ] )
% 0.44/1.08 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, clause( 372, [ =( mult( X, ld( Z, Y ) ), rd( X, ld( Y, Z ) ) ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y ), :=( Z, mult( Y, Z ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 87, [ =( mult( Z, ld( mult( X, Y ), X ) ), rd( Z, Y ) ) ] )
% 0.44/1.08 , clause( 374, [ =( mult( X, ld( mult( Y, Z ), Y ) ), rd( X, Z ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 377, [ =( mult( X, Z ), mult( mult( X, Y ), mult( Y, ld( mult( Y, Y
% 0.44/1.08 ), Z ) ) ) ) ] )
% 0.44/1.08 , clause( 10, [ =( mult( mult( Z, X ), mult( X, ld( mult( X, X ), Y ) ) ),
% 0.44/1.08 mult( Z, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 379, [ =( mult( X, Y ), mult( mult( X, Y ), mult( Y, ld( mult( Z, Y
% 0.44/1.08 ), Z ) ) ) ) ] )
% 0.44/1.08 , clause( 75, [ =( ld( mult( X, Z ), X ), ld( mult( Y, Z ), Y ) ) ] )
% 0.44/1.08 , 0, clause( 377, [ =( mult( X, Z ), mult( mult( X, Y ), mult( Y, ld( mult(
% 0.44/1.08 Y, Y ), Z ) ) ) ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, Y )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 380, [ =( mult( X, Y ), mult( mult( X, Y ), rd( Y, Y ) ) ) ] )
% 0.44/1.08 , clause( 87, [ =( mult( Z, ld( mult( X, Y ), X ) ), rd( Z, Y ) ) ] )
% 0.44/1.08 , 0, clause( 379, [ =( mult( X, Y ), mult( mult( X, Y ), mult( Y, ld( mult(
% 0.44/1.08 Z, Y ), Z ) ) ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, Y )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 381, [ =( mult( mult( X, Y ), rd( Y, Y ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , clause( 380, [ =( mult( X, Y ), mult( mult( X, Y ), rd( Y, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 91, [ =( mult( mult( Z, X ), rd( X, X ) ), mult( Z, X ) ) ] )
% 0.44/1.08 , clause( 381, [ =( mult( mult( X, Y ), rd( Y, Y ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 383, [ =( mult( X, Z ), rd( X, ld( mult( Y, Z ), Y ) ) ) ] )
% 0.44/1.08 , clause( 47, [ =( rd( X, ld( mult( Z, Y ), Z ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 390, [ =( mult( X, rd( Y, Y ) ), rd( X, ld( mult( Z, Y ), mult( Z,
% 0.44/1.08 Y ) ) ) ) ] )
% 0.44/1.08 , clause( 91, [ =( mult( mult( Z, X ), rd( X, X ) ), mult( Z, X ) ) ] )
% 0.44/1.08 , 0, clause( 383, [ =( mult( X, Z ), rd( X, ld( mult( Y, Z ), Y ) ) ) ] )
% 0.44/1.08 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X ), :=( Y, mult( Z, Y ) ), :=( Z, rd( Y, Y ) )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 391, [ =( mult( X, rd( Y, Y ) ), rd( rd( X, Y ), ld( mult( Z, Y ),
% 0.44/1.08 Z ) ) ) ] )
% 0.44/1.08 , clause( 39, [ =( rd( U, ld( Z, mult( T, Y ) ) ), rd( rd( U, Y ), ld( Z, T
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , 0, clause( 390, [ =( mult( X, rd( Y, Y ) ), rd( X, ld( mult( Z, Y ), mult(
% 0.44/1.08 Z, Y ) ) ) ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, mult( Z, Y ) ),
% 0.44/1.08 :=( T, Z ), :=( U, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.44/1.08 :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 392, [ =( mult( X, rd( Y, Y ) ), mult( rd( X, Y ), ld( Z, mult( Z,
% 0.44/1.08 Y ) ) ) ) ] )
% 0.44/1.08 , clause( 74, [ =( rd( Z, ld( Y, X ) ), mult( Z, ld( X, Y ) ) ) ] )
% 0.44/1.08 , 0, clause( 391, [ =( mult( X, rd( Y, Y ) ), rd( rd( X, Y ), ld( mult( Z,
% 0.44/1.08 Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, mult( Z, Y ) ), :=( Z, rd( X
% 0.44/1.08 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 393, [ =( mult( X, rd( Y, Y ) ), mult( rd( X, Y ), Y ) ) ] )
% 0.44/1.08 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, clause( 392, [ =( mult( X, rd( Y, Y ) ), mult( rd( X, Y ), ld( Z, mult(
% 0.44/1.08 Z, Y ) ) ) ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 394, [ =( mult( X, rd( Y, Y ) ), X ) ] )
% 0.44/1.08 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.08 , 0, clause( 393, [ =( mult( X, rd( Y, Y ) ), mult( rd( X, Y ), Y ) ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 110, [ =( mult( Z, rd( Y, Y ) ), Z ) ] )
% 0.44/1.08 , clause( 394, [ =( mult( X, rd( Y, Y ) ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 397, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 398, [ =( rd( X, X ), ld( Y, Y ) ) ] )
% 0.44/1.08 , clause( 110, [ =( mult( Z, rd( Y, Y ) ), Z ) ] )
% 0.44/1.08 , 0, clause( 397, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.44/1.08 substitution( 1, [ :=( X, Y ), :=( Y, rd( X, X ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 399, [ =( ld( Y, Y ), rd( X, X ) ) ] )
% 0.44/1.08 , clause( 398, [ =( rd( X, X ), ld( Y, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 123, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.44/1.08 , clause( 399, [ =( ld( Y, Y ), rd( X, X ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 400, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.44/1.08 , clause( 123, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 401, [ =( Y, ld( rd( X, Y ), X ) ) ] )
% 0.44/1.08 , clause( 6, [ =( ld( rd( X, Y ), X ), Y ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 402, [ =( X, ld( ld( Y, Y ), X ) ) ] )
% 0.44/1.08 , clause( 400, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.44/1.08 , 0, clause( 401, [ =( Y, ld( rd( X, Y ), X ) ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 403, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.44/1.08 , clause( 402, [ =( X, ld( ld( Y, Y ), X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 134, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.44/1.08 , clause( 403, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 404, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.44/1.08 , clause( 123, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 405, [ =( X, mult( rd( X, Y ), Y ) ) ] )
% 0.44/1.08 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 406, [ =( X, mult( ld( Y, Y ), X ) ) ] )
% 0.44/1.08 , clause( 404, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.44/1.08 , 0, clause( 405, [ =( X, mult( rd( X, Y ), Y ) ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 407, [ =( mult( ld( Y, Y ), X ), X ) ] )
% 0.44/1.08 , clause( 406, [ =( X, mult( ld( Y, Y ), X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 135, [ =( mult( ld( Y, Y ), X ), X ) ] )
% 0.44/1.08 , clause( 407, [ =( mult( ld( Y, Y ), X ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 408, [ =( Y, ld( ld( X, X ), Y ) ) ] )
% 0.44/1.08 , clause( 134, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 410, [ =( mult( mult( ld( X, X ), Y ), Z ), ld( T, mult( mult( T, Y
% 0.44/1.08 ), Z ) ) ) ] )
% 0.44/1.08 , clause( 16, [ =( ld( T, mult( mult( T, X ), Y ) ), ld( Z, mult( mult( Z,
% 0.44/1.08 X ), Y ) ) ) ] )
% 0.44/1.08 , 0, clause( 408, [ =( Y, ld( ld( X, X ), Y ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, ld( X
% 0.44/1.08 , X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, mult( mult( ld( X, X )
% 0.44/1.08 , Y ), Z ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 411, [ =( mult( Y, Z ), ld( T, mult( mult( T, Y ), Z ) ) ) ] )
% 0.44/1.08 , clause( 135, [ =( mult( ld( Y, Y ), X ), X ) ] )
% 0.44/1.08 , 0, clause( 410, [ =( mult( mult( ld( X, X ), Y ), Z ), ld( T, mult( mult(
% 0.44/1.08 T, Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 412, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , clause( 411, [ =( mult( Y, Z ), ld( T, mult( mult( T, Y ), Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 169, [ =( ld( T, mult( mult( T, Y ), Z ) ), mult( Y, Z ) ) ] )
% 0.44/1.08 , clause( 412, [ =( ld( Z, mult( mult( Z, X ), Y ) ), mult( X, Y ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 415, [ =( mult( X, mult( Z, T ) ), mult( mult( X, Z ), T ) ) ] )
% 0.44/1.08 , clause( 169, [ =( ld( T, mult( mult( T, Y ), Z ) ), mult( Y, Z ) ) ] )
% 0.44/1.08 , 0, clause( 18, [ =( mult( T, ld( Z, mult( mult( Z, X ), Y ) ) ), mult(
% 0.44/1.08 mult( T, X ), Y ) ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, U ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.44/1.08 , substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 224, [ =( mult( T, mult( X, Y ) ), mult( mult( T, X ), Y ) ) ] )
% 0.44/1.08 , clause( 415, [ =( mult( X, mult( Z, T ) ), mult( mult( X, Z ), T ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, X ), :=( T, Y )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 417, [ =( mult( mult( X, Y ), Z ), mult( X, mult( Y, Z ) ) ) ] )
% 0.44/1.08 , clause( 224, [ =( mult( T, mult( X, Y ) ), mult( mult( T, X ), Y ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 418, [ ~( =( mult( mult( a, b ), c ), mult( a, mult( b, c ) ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 5, [ ~( =( mult( a, mult( b, c ) ), mult( mult( a, b ), c ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, substitution( 0, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 resolution(
% 0.44/1.08 clause( 419, [] )
% 0.44/1.08 , clause( 418, [ ~( =( mult( mult( a, b ), c ), mult( a, mult( b, c ) ) ) )
% 0.44/1.08 ] )
% 0.44/1.08 , 0, clause( 417, [ =( mult( mult( X, Y ), Z ), mult( X, mult( Y, Z ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.44/1.08 Z, c )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 225, [] )
% 0.44/1.08 , clause( 419, [] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 end.
% 0.44/1.08
% 0.44/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.08
% 0.44/1.08 Memory use:
% 0.44/1.08
% 0.44/1.08 space for terms: 3073
% 0.44/1.08 space for clauses: 27497
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 clauses generated: 1900
% 0.44/1.08 clauses kept: 226
% 0.44/1.08 clauses selected: 47
% 0.44/1.08 clauses deleted: 5
% 0.44/1.08 clauses inuse deleted: 0
% 0.44/1.08
% 0.44/1.08 subsentry: 1091
% 0.44/1.08 literals s-matched: 711
% 0.44/1.08 literals matched: 706
% 0.44/1.08 full subsumption: 0
% 0.44/1.08
% 0.44/1.08 checksum: -3075457
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Bliksem ended
%------------------------------------------------------------------------------