TSTP Solution File: GRP048-10 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP048-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 07:34:34 EDT 2022
% Result : Unsatisfiable 1.44s 1.83s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP048-10 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 : Mon Jun 13 07:17:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.44/1.83 *** allocated 10000 integers for termspace/termends
% 1.44/1.83 *** allocated 10000 integers for clauses
% 1.44/1.83 *** allocated 10000 integers for justifications
% 1.44/1.83 Bliksem 1.12
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Automatic Strategy Selection
% 1.44/1.83
% 1.44/1.83 Clauses:
% 1.44/1.83 [
% 1.44/1.83 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 1.44/1.83 [ =( product( identity, X, X ), true ) ],
% 1.44/1.83 [ =( product( inverse( X ), X, identity ), true ) ],
% 1.44/1.83 [ =( product( X, Y, multiply( X, Y ) ), true ) ],
% 1.44/1.83 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, Y, T ), true,
% 1.44/1.83 equalish( T, Z ), true ), true ), true ) ],
% 1.44/1.83 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U ), true,
% 1.44/1.83 ifeq( product( W, T, X ), true, product( W, U, Z ), true ), true ), true
% 1.44/1.83 ), true ) ],
% 1.44/1.83 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Z, U ), true,
% 1.44/1.83 ifeq( product( T, X, W ), true, product( W, Y, U ), true ), true ), true
% 1.44/1.83 ), true ) ],
% 1.44/1.83 [ =( ifeq( equalish( X, Y ), true, ifeq( product( Z, T, X ), true,
% 1.44/1.83 product( Z, T, Y ), true ), true ), true ) ],
% 1.44/1.83 [ =( equalish( a, b ), true ) ],
% 1.44/1.83 [ ~( =( equalish( inverse( a ), inverse( b ) ), true ) ) ]
% 1.44/1.83 ] .
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 percentage equality = 1.000000, percentage horn = 1.000000
% 1.44/1.83 This is a pure equality problem
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Options Used:
% 1.44/1.83
% 1.44/1.83 useres = 1
% 1.44/1.83 useparamod = 1
% 1.44/1.83 useeqrefl = 1
% 1.44/1.83 useeqfact = 1
% 1.44/1.83 usefactor = 1
% 1.44/1.83 usesimpsplitting = 0
% 1.44/1.83 usesimpdemod = 5
% 1.44/1.83 usesimpres = 3
% 1.44/1.83
% 1.44/1.83 resimpinuse = 1000
% 1.44/1.83 resimpclauses = 20000
% 1.44/1.83 substype = eqrewr
% 1.44/1.83 backwardsubs = 1
% 1.44/1.83 selectoldest = 5
% 1.44/1.83
% 1.44/1.83 litorderings [0] = split
% 1.44/1.83 litorderings [1] = extend the termordering, first sorting on arguments
% 1.44/1.83
% 1.44/1.83 termordering = kbo
% 1.44/1.83
% 1.44/1.83 litapriori = 0
% 1.44/1.83 termapriori = 1
% 1.44/1.83 litaposteriori = 0
% 1.44/1.83 termaposteriori = 0
% 1.44/1.83 demodaposteriori = 0
% 1.44/1.83 ordereqreflfact = 0
% 1.44/1.83
% 1.44/1.83 litselect = negord
% 1.44/1.83
% 1.44/1.83 maxweight = 15
% 1.44/1.83 maxdepth = 30000
% 1.44/1.83 maxlength = 115
% 1.44/1.83 maxnrvars = 195
% 1.44/1.83 excuselevel = 1
% 1.44/1.83 increasemaxweight = 1
% 1.44/1.83
% 1.44/1.83 maxselected = 10000000
% 1.44/1.83 maxnrclauses = 10000000
% 1.44/1.83
% 1.44/1.83 showgenerated = 0
% 1.44/1.83 showkept = 0
% 1.44/1.83 showselected = 0
% 1.44/1.83 showdeleted = 0
% 1.44/1.83 showresimp = 1
% 1.44/1.83 showstatus = 2000
% 1.44/1.83
% 1.44/1.83 prologoutput = 1
% 1.44/1.83 nrgoals = 5000000
% 1.44/1.83 totalproof = 1
% 1.44/1.83
% 1.44/1.83 Symbols occurring in the translation:
% 1.44/1.83
% 1.44/1.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.44/1.83 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 1.44/1.83 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 1.44/1.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.83 ifeq [42, 4] (w:1, o:56, a:1, s:1, b:0),
% 1.44/1.83 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.44/1.83 product [45, 3] (w:1, o:55, a:1, s:1, b:0),
% 1.44/1.83 true [46, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.44/1.83 inverse [47, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.44/1.83 multiply [49, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.44/1.83 equalish [52, 2] (w:1, o:54, a:1, s:1, b:0),
% 1.44/1.83 a [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.44/1.83 b [56, 0] (w:1, o:21, a:1, s:1, b:0).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Starting Search:
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Intermediate Status:
% 1.44/1.83 Generated: 24834
% 1.44/1.83 Kept: 2012
% 1.44/1.83 Inuse: 576
% 1.44/1.83 Deleted: 53
% 1.44/1.83 Deletedinuse: 7
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Intermediate Status:
% 1.44/1.83 Generated: 37517
% 1.44/1.83 Kept: 4023
% 1.44/1.83 Inuse: 758
% 1.44/1.83 Deleted: 186
% 1.44/1.83 Deletedinuse: 129
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Intermediate Status:
% 1.44/1.83 Generated: 63200
% 1.44/1.83 Kept: 6038
% 1.44/1.83 Inuse: 1119
% 1.44/1.83 Deleted: 262
% 1.44/1.83 Deletedinuse: 157
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Intermediate Status:
% 1.44/1.83 Generated: 87024
% 1.44/1.83 Kept: 8042
% 1.44/1.83 Inuse: 1433
% 1.44/1.83 Deleted: 317
% 1.44/1.83 Deletedinuse: 161
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83 Resimplifying inuse:
% 1.44/1.83 Done
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Bliksems!, er is een bewijs:
% 1.44/1.83 % SZS status Unsatisfiable
% 1.44/1.83 % SZS output start Refutation
% 1.44/1.83
% 1.44/1.83 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 1, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 2, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 4, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, Y, T ),
% 1.44/1.83 true, equalish( T, Z ), true ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 5, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U ),
% 1.44/1.83 true, ifeq( product( W, T, X ), true, product( W, U, Z ), true ), true )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 6, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Z, U ),
% 1.44/1.83 true, ifeq( product( T, X, W ), true, product( W, Y, U ), true ), true )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 7, [ =( ifeq( equalish( X, Y ), true, ifeq( product( Z, T, X ),
% 1.44/1.83 true, product( Z, T, Y ), true ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 8, [ =( equalish( a, b ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 9, [ ~( =( equalish( inverse( a ), inverse( b ) ), true ) ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 10, [ =( ifeq( equalish( multiply( X, Y ), Z ), true, product( X, Y
% 1.44/1.83 , Z ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 14, [ =( ifeq( equalish( X, Y ), true, product( identity, X, Y ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 19, [ =( product( identity, a, b ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 27, [ =( ifeq( product( identity, X, Y ), true, equalish( Y, X ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 28, [ =( ifeq( product( identity, X, Y ), true, equalish( X, Y ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 38, [ =( ifeq( product( Z, Y, T ), true, ifeq( product( U, X, Z ),
% 1.44/1.83 true, product( U, multiply( X, Y ), T ), true ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 43, [ =( ifeq( product( identity, Y, Z ), true, ifeq( product( X, Y
% 1.44/1.83 , T ), true, product( inverse( X ), T, Z ), true ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 63, [ =( ifeq( product( Y, identity, Z ), true, ifeq( product( Y,
% 1.44/1.83 inverse( X ), T ), true, product( T, X, Z ), true ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 64, [ =( ifeq( product( Y, Z, X ), true, ifeq( product( inverse( X
% 1.44/1.83 ), Y, T ), true, product( T, Z, identity ), true ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 68, [ =( ifeq( product( Y, Z, X ), true, ifeq( product( identity, Y
% 1.44/1.83 , T ), true, product( T, Z, X ), true ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 224, [ =( ifeq( product( Y, Z, identity ), true, product( Y,
% 1.44/1.83 multiply( Z, X ), X ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 269, [ =( ifeq( product( Y, X, Z ), true, product( inverse( Y ), Z
% 1.44/1.83 , X ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 537, [ =( ifeq( product( inverse( inverse( X ) ), identity, Y ),
% 1.44/1.83 true, product( identity, X, Y ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 560, [ =( ifeq( product( X, Y, X ), true, product( identity, Y,
% 1.44/1.83 identity ), true ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 607, [ =( ifeq( product( a, X, Y ), true, product( b, X, Y ), true
% 1.44/1.83 ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 1905, [ =( product( inverse( X ), multiply( X, Y ), Y ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 .
% 1.44/1.83 clause( 1912, [ =( product( identity, multiply( X, inverse( X ) ), identity
% 1.44/1.83 ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 1937, [ =( equalish( multiply( X, inverse( X ) ), identity ), true
% 1.44/1.83 ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 1947, [ =( product( X, inverse( X ), identity ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 1956, [ =( product( b, inverse( a ), identity ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 3686, [ =( product( inverse( b ), identity, inverse( a ) ), true )
% 1.44/1.83 ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 3769, [ =( product( inverse( inverse( b ) ), inverse( a ), identity
% 1.44/1.83 ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 3993, [ =( product( inverse( inverse( inverse( b ) ) ), identity,
% 1.44/1.83 inverse( a ) ), true ) ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 9830, [ =( product( identity, inverse( b ), inverse( a ) ), true )
% 1.44/1.83 ] )
% 1.44/1.83 .
% 1.44/1.83 clause( 9864, [] )
% 1.44/1.83 .
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 % SZS output end Refutation
% 1.44/1.83 found a proof!
% 1.44/1.83
% 1.44/1.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.44/1.83
% 1.44/1.83 initialclauses(
% 1.44/1.83 [ clause( 9866, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , clause( 9867, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , clause( 9868, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , clause( 9869, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 1.44/1.83 , clause( 9870, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, Y, T
% 1.44/1.83 ), true, equalish( T, Z ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 9871, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U
% 1.44/1.83 ), true, ifeq( product( W, T, X ), true, product( W, U, Z ), true ),
% 1.44/1.83 true ), true ), true ) ] )
% 1.44/1.83 , clause( 9872, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Z, U
% 1.44/1.83 ), true, ifeq( product( T, X, W ), true, product( W, Y, U ), true ),
% 1.44/1.83 true ), true ), true ) ] )
% 1.44/1.83 , clause( 9873, [ =( ifeq( equalish( X, Y ), true, ifeq( product( Z, T, X )
% 1.44/1.83 , true, product( Z, T, Y ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 9874, [ =( equalish( a, b ), true ) ] )
% 1.44/1.83 , clause( 9875, [ ~( =( equalish( inverse( a ), inverse( b ) ), true ) ) ]
% 1.44/1.83 )
% 1.44/1.83 ] ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , clause( 9866, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 1, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , clause( 9867, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 2, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , clause( 9868, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 1.44/1.83 , clause( 9869, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.44/1.83 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 4, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, Y, T ),
% 1.44/1.83 true, equalish( T, Z ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 9870, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, Y, T
% 1.44/1.83 ), true, equalish( T, Z ), true ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 5, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U ),
% 1.44/1.83 true, ifeq( product( W, T, X ), true, product( W, U, Z ), true ), true )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 , clause( 9871, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U
% 1.44/1.83 ), true, ifeq( product( W, T, X ), true, product( W, U, Z ), true ),
% 1.44/1.83 true ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.44/1.83 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 6, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Z, U ),
% 1.44/1.83 true, ifeq( product( T, X, W ), true, product( W, Y, U ), true ), true )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 , clause( 9872, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Z, U
% 1.44/1.83 ), true, ifeq( product( T, X, W ), true, product( W, Y, U ), true ),
% 1.44/1.83 true ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.44/1.83 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 7, [ =( ifeq( equalish( X, Y ), true, ifeq( product( Z, T, X ),
% 1.44/1.83 true, product( Z, T, Y ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 9873, [ =( ifeq( equalish( X, Y ), true, ifeq( product( Z, T, X )
% 1.44/1.83 , true, product( Z, T, Y ), true ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 8, [ =( equalish( a, b ), true ) ] )
% 1.44/1.83 , clause( 9874, [ =( equalish( a, b ), true ) ] )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 9, [ ~( =( equalish( inverse( a ), inverse( b ) ), true ) ) ] )
% 1.44/1.83 , clause( 9875, [ ~( =( equalish( inverse( a ), inverse( b ) ), true ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9932, [ =( true, ifeq( equalish( X, Y ), true, ifeq( product( Z, T
% 1.44/1.83 , X ), true, product( Z, T, Y ), true ), true ) ) ] )
% 1.44/1.83 , clause( 7, [ =( ifeq( equalish( X, Y ), true, ifeq( product( Z, T, X ),
% 1.44/1.83 true, product( Z, T, Y ), true ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9934, [ =( true, ifeq( equalish( multiply( X, Y ), Z ), true, ifeq(
% 1.44/1.83 true, true, product( X, Y, Z ), true ), true ) ) ] )
% 1.44/1.83 , clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 1.44/1.83 , 0, clause( 9932, [ =( true, ifeq( equalish( X, Y ), true, ifeq( product(
% 1.44/1.83 Z, T, X ), true, product( Z, T, Y ), true ), true ) ) ] )
% 1.44/1.83 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.44/1.83 :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9936, [ =( true, ifeq( equalish( multiply( X, Y ), Z ), true,
% 1.44/1.83 product( X, Y, Z ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 9934, [ =( true, ifeq( equalish( multiply( X, Y ), Z ), true,
% 1.44/1.83 ifeq( true, true, product( X, Y, Z ), true ), true ) ) ] )
% 1.44/1.83 , 0, 9, substitution( 0, [ :=( X, true ), :=( Y, product( X, Y, Z ) ), :=(
% 1.44/1.83 Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9937, [ =( ifeq( equalish( multiply( X, Y ), Z ), true, product( X
% 1.44/1.83 , Y, Z ), true ), true ) ] )
% 1.44/1.83 , clause( 9936, [ =( true, ifeq( equalish( multiply( X, Y ), Z ), true,
% 1.44/1.83 product( X, Y, Z ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 10, [ =( ifeq( equalish( multiply( X, Y ), Z ), true, product( X, Y
% 1.44/1.83 , Z ), true ), true ) ] )
% 1.44/1.83 , clause( 9937, [ =( ifeq( equalish( multiply( X, Y ), Z ), true, product(
% 1.44/1.83 X, Y, Z ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9939, [ =( true, ifeq( equalish( X, Y ), true, ifeq( product( Z, T
% 1.44/1.83 , X ), true, product( Z, T, Y ), true ), true ) ) ] )
% 1.44/1.83 , clause( 7, [ =( ifeq( equalish( X, Y ), true, ifeq( product( Z, T, X ),
% 1.44/1.83 true, product( Z, T, Y ), true ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9941, [ =( true, ifeq( equalish( X, Y ), true, ifeq( true, true,
% 1.44/1.83 product( identity, X, Y ), true ), true ) ) ] )
% 1.44/1.83 , clause( 1, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , 0, clause( 9939, [ =( true, ifeq( equalish( X, Y ), true, ifeq( product(
% 1.44/1.83 Z, T, X ), true, product( Z, T, Y ), true ), true ) ) ] )
% 1.44/1.83 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.44/1.83 :=( Y, Y ), :=( Z, identity ), :=( T, X )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9943, [ =( true, ifeq( equalish( X, Y ), true, product( identity, X
% 1.44/1.83 , Y ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 9941, [ =( true, ifeq( equalish( X, Y ), true, ifeq( true,
% 1.44/1.83 true, product( identity, X, Y ), true ), true ) ) ] )
% 1.44/1.83 , 0, 7, substitution( 0, [ :=( X, true ), :=( Y, product( identity, X, Y )
% 1.44/1.83 ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9944, [ =( ifeq( equalish( X, Y ), true, product( identity, X, Y )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 , clause( 9943, [ =( true, ifeq( equalish( X, Y ), true, product( identity
% 1.44/1.83 , X, Y ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 14, [ =( ifeq( equalish( X, Y ), true, product( identity, X, Y ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 , clause( 9944, [ =( ifeq( equalish( X, Y ), true, product( identity, X, Y
% 1.44/1.83 ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.44/1.83 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9946, [ =( true, ifeq( equalish( X, Y ), true, product( identity, X
% 1.44/1.83 , Y ), true ) ) ] )
% 1.44/1.83 , clause( 14, [ =( ifeq( equalish( X, Y ), true, product( identity, X, Y )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9948, [ =( true, ifeq( true, true, product( identity, a, b ), true
% 1.44/1.83 ) ) ] )
% 1.44/1.83 , clause( 8, [ =( equalish( a, b ), true ) ] )
% 1.44/1.83 , 0, clause( 9946, [ =( true, ifeq( equalish( X, Y ), true, product(
% 1.44/1.83 identity, X, Y ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9949, [ =( true, product( identity, a, b ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 9948, [ =( true, ifeq( true, true, product( identity, a, b ),
% 1.44/1.83 true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( identity, a, b )
% 1.44/1.83 ), :=( Z, true )] ), substitution( 1, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9950, [ =( product( identity, a, b ), true ) ] )
% 1.44/1.83 , clause( 9949, [ =( true, product( identity, a, b ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 19, [ =( product( identity, a, b ), true ) ] )
% 1.44/1.83 , clause( 9950, [ =( product( identity, a, b ), true ) ] )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9952, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( X,
% 1.44/1.83 Y, T ), true, equalish( T, Z ), true ), true ) ) ] )
% 1.44/1.83 , clause( 4, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, Y, T )
% 1.44/1.83 , true, equalish( T, Z ), true ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9954, [ =( true, ifeq( true, true, ifeq( product( identity, X, Y )
% 1.44/1.83 , true, equalish( Y, X ), true ), true ) ) ] )
% 1.44/1.83 , clause( 1, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , 0, clause( 9952, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 X, Y, T ), true, equalish( T, Z ), true ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.44/1.83 identity ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9958, [ =( true, ifeq( product( identity, X, Y ), true, equalish( Y
% 1.44/1.83 , X ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 9954, [ =( true, ifeq( true, true, ifeq( product( identity, X
% 1.44/1.83 , Y ), true, equalish( Y, X ), true ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( identity, X
% 1.44/1.83 , Y ), true, equalish( Y, X ), true ) ), :=( Z, true )] ), substitution(
% 1.44/1.83 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9959, [ =( ifeq( product( identity, X, Y ), true, equalish( Y, X )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 , clause( 9958, [ =( true, ifeq( product( identity, X, Y ), true, equalish(
% 1.44/1.83 Y, X ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 27, [ =( ifeq( product( identity, X, Y ), true, equalish( Y, X ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 , clause( 9959, [ =( ifeq( product( identity, X, Y ), true, equalish( Y, X
% 1.44/1.83 ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.44/1.83 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9961, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( X,
% 1.44/1.83 Y, T ), true, equalish( T, Z ), true ), true ) ) ] )
% 1.44/1.83 , clause( 4, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, Y, T )
% 1.44/1.83 , true, equalish( T, Z ), true ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9964, [ =( true, ifeq( product( identity, X, Y ), true, ifeq( true
% 1.44/1.83 , true, equalish( X, Y ), true ), true ) ) ] )
% 1.44/1.83 , clause( 1, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , 0, clause( 9961, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 X, Y, T ), true, equalish( T, Z ), true ), true ) ) ] )
% 1.44/1.83 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.44/1.83 identity ), :=( Y, X ), :=( Z, Y ), :=( T, X )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9965, [ =( true, ifeq( product( identity, X, Y ), true, equalish( X
% 1.44/1.83 , Y ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 9964, [ =( true, ifeq( product( identity, X, Y ), true, ifeq(
% 1.44/1.83 true, true, equalish( X, Y ), true ), true ) ) ] )
% 1.44/1.83 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, equalish( X, Y ) ), :=( Z
% 1.44/1.83 , true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9966, [ =( ifeq( product( identity, X, Y ), true, equalish( X, Y )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 , clause( 9965, [ =( true, ifeq( product( identity, X, Y ), true, equalish(
% 1.44/1.83 X, Y ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 28, [ =( ifeq( product( identity, X, Y ), true, equalish( X, Y ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 , clause( 9966, [ =( ifeq( product( identity, X, Y ), true, equalish( X, Y
% 1.44/1.83 ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.44/1.83 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9968, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 1.44/1.83 Y, U ), true, ifeq( product( W, T, X ), true, product( W, U, Z ), true )
% 1.44/1.83 , true ), true ) ) ] )
% 1.44/1.83 , clause( 5, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U )
% 1.44/1.83 , true, ifeq( product( W, T, X ), true, product( W, U, Z ), true ), true
% 1.44/1.83 ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.44/1.83 :=( U, U ), :=( W, W )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9971, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true, true,
% 1.44/1.83 ifeq( product( U, T, X ), true, product( U, multiply( T, Y ), Z ), true )
% 1.44/1.83 , true ), true ) ) ] )
% 1.44/1.83 , clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 1.44/1.83 , 0, clause( 9968, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 T, Y, U ), true, ifeq( product( W, T, X ), true, product( W, U, Z ), true
% 1.44/1.83 ), true ), true ) ) ] )
% 1.44/1.83 , 0, 9, substitution( 0, [ :=( X, T ), :=( Y, Y )] ), substitution( 1, [
% 1.44/1.83 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, multiply( T, Y ) )
% 1.44/1.83 , :=( W, U )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9976, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 1.44/1.83 U, X ), true, product( T, multiply( U, Y ), Z ), true ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 9971, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true,
% 1.44/1.83 true, ifeq( product( U, T, X ), true, product( U, multiply( T, Y ), Z ),
% 1.44/1.83 true ), true ), true ) ) ] )
% 1.44/1.83 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( T, U, X ),
% 1.44/1.83 true, product( T, multiply( U, Y ), Z ), true ) ), :=( Z, true )] ),
% 1.44/1.83 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, U ), :=( U
% 1.44/1.83 , T )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9977, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, U, X )
% 1.44/1.83 , true, product( T, multiply( U, Y ), Z ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 9976, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T
% 1.44/1.83 , U, X ), true, product( T, multiply( U, Y ), Z ), true ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.44/1.83 :=( U, U )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 38, [ =( ifeq( product( Z, Y, T ), true, ifeq( product( U, X, Z ),
% 1.44/1.83 true, product( U, multiply( X, Y ), T ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 9977, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, U, X
% 1.44/1.83 ), true, product( T, multiply( U, Y ), Z ), true ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, U ), :=( U
% 1.44/1.83 , X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9979, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 1.44/1.83 Y, U ), true, ifeq( product( W, T, X ), true, product( W, U, Z ), true )
% 1.44/1.83 , true ), true ) ) ] )
% 1.44/1.83 , clause( 5, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U )
% 1.44/1.83 , true, ifeq( product( W, T, X ), true, product( W, U, Z ), true ), true
% 1.44/1.83 ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.44/1.83 :=( U, U ), :=( W, W )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9983, [ =( true, ifeq( product( identity, X, Y ), true, ifeq(
% 1.44/1.83 product( Z, X, T ), true, ifeq( true, true, product( inverse( Z ), T, Y )
% 1.44/1.83 , true ), true ), true ) ) ] )
% 1.44/1.83 , clause( 2, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , 0, clause( 9979, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 T, Y, U ), true, ifeq( product( W, T, X ), true, product( W, U, Z ), true
% 1.44/1.83 ), true ), true ) ) ] )
% 1.44/1.83 , 0, 15, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X,
% 1.44/1.83 identity ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W,
% 1.44/1.83 inverse( Z ) )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9985, [ =( true, ifeq( product( identity, X, Y ), true, ifeq(
% 1.44/1.83 product( Z, X, T ), true, product( inverse( Z ), T, Y ), true ), true ) )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 9983, [ =( true, ifeq( product( identity, X, Y ), true, ifeq(
% 1.44/1.83 product( Z, X, T ), true, ifeq( true, true, product( inverse( Z ), T, Y )
% 1.44/1.83 , true ), true ), true ) ) ] )
% 1.44/1.83 , 0, 14, substitution( 0, [ :=( X, true ), :=( Y, product( inverse( Z ), T
% 1.44/1.83 , Y ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 1.44/1.83 :=( Z, Z ), :=( T, T )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9986, [ =( ifeq( product( identity, X, Y ), true, ifeq( product( Z
% 1.44/1.83 , X, T ), true, product( inverse( Z ), T, Y ), true ), true ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , clause( 9985, [ =( true, ifeq( product( identity, X, Y ), true, ifeq(
% 1.44/1.83 product( Z, X, T ), true, product( inverse( Z ), T, Y ), true ), true ) )
% 1.44/1.83 ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 43, [ =( ifeq( product( identity, Y, Z ), true, ifeq( product( X, Y
% 1.44/1.83 , T ), true, product( inverse( X ), T, Z ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 9986, [ =( ifeq( product( identity, X, Y ), true, ifeq( product(
% 1.44/1.83 Z, X, T ), true, product( inverse( Z ), T, Y ), true ), true ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9988, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 1.44/1.83 Z, U ), true, ifeq( product( T, X, W ), true, product( W, Y, U ), true )
% 1.44/1.83 , true ), true ) ) ] )
% 1.44/1.83 , clause( 6, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Z, U )
% 1.44/1.83 , true, ifeq( product( T, X, W ), true, product( W, Y, U ), true ), true
% 1.44/1.83 ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.44/1.83 :=( U, U ), :=( W, W )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9990, [ =( true, ifeq( true, true, ifeq( product( Y, identity, Z )
% 1.44/1.83 , true, ifeq( product( Y, inverse( X ), T ), true, product( T, X, Z ),
% 1.44/1.83 true ), true ), true ) ) ] )
% 1.44/1.83 , clause( 2, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , 0, clause( 9988, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 T, Z, U ), true, ifeq( product( T, X, W ), true, product( W, Y, U ), true
% 1.44/1.83 ), true ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.44/1.83 X ) ), :=( Y, X ), :=( Z, identity ), :=( T, Y ), :=( U, Z ), :=( W, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 9998, [ =( true, ifeq( product( X, identity, Y ), true, ifeq(
% 1.44/1.83 product( X, inverse( Z ), T ), true, product( T, Z, Y ), true ), true ) )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 9990, [ =( true, ifeq( true, true, ifeq( product( Y, identity
% 1.44/1.83 , Z ), true, ifeq( product( Y, inverse( X ), T ), true, product( T, X, Z
% 1.44/1.83 ), true ), true ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( X, identity
% 1.44/1.83 , Y ), true, ifeq( product( X, inverse( Z ), T ), true, product( T, Z, Y
% 1.44/1.83 ), true ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Z ),
% 1.44/1.83 :=( Y, X ), :=( Z, Y ), :=( T, T )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 9999, [ =( ifeq( product( X, identity, Y ), true, ifeq( product( X
% 1.44/1.83 , inverse( Z ), T ), true, product( T, Z, Y ), true ), true ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , clause( 9998, [ =( true, ifeq( product( X, identity, Y ), true, ifeq(
% 1.44/1.83 product( X, inverse( Z ), T ), true, product( T, Z, Y ), true ), true ) )
% 1.44/1.83 ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 63, [ =( ifeq( product( Y, identity, Z ), true, ifeq( product( Y,
% 1.44/1.83 inverse( X ), T ), true, product( T, X, Z ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 9999, [ =( ifeq( product( X, identity, Y ), true, ifeq( product(
% 1.44/1.83 X, inverse( Z ), T ), true, product( T, Z, Y ), true ), true ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10001, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T
% 1.44/1.83 , Z, U ), true, ifeq( product( T, X, W ), true, product( W, Y, U ), true
% 1.44/1.83 ), true ), true ) ) ] )
% 1.44/1.83 , clause( 6, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Z, U )
% 1.44/1.83 , true, ifeq( product( T, X, W ), true, product( W, Y, U ), true ), true
% 1.44/1.83 ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.44/1.83 :=( U, U ), :=( W, W )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10004, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true, true
% 1.44/1.83 , ifeq( product( inverse( Z ), X, T ), true, product( T, Y, identity ),
% 1.44/1.83 true ), true ), true ) ) ] )
% 1.44/1.83 , clause( 2, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , 0, clause( 10001, [ =( true, ifeq( product( X, Y, Z ), true, ifeq(
% 1.44/1.83 product( T, Z, U ), true, ifeq( product( T, X, W ), true, product( W, Y,
% 1.44/1.83 U ), true ), true ), true ) ) ] )
% 1.44/1.83 , 0, 9, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 1.44/1.83 :=( Y, Y ), :=( Z, Z ), :=( T, inverse( Z ) ), :=( U, identity ), :=( W,
% 1.44/1.83 T )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10009, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 inverse( Z ), X, T ), true, product( T, Y, identity ), true ), true ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10004, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true,
% 1.44/1.83 true, ifeq( product( inverse( Z ), X, T ), true, product( T, Y, identity
% 1.44/1.83 ), true ), true ), true ) ) ] )
% 1.44/1.83 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( inverse( Z
% 1.44/1.83 ), X, T ), true, product( T, Y, identity ), true ) ), :=( Z, true )] ),
% 1.44/1.83 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10010, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( inverse(
% 1.44/1.83 Z ), X, T ), true, product( T, Y, identity ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 10009, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 inverse( Z ), X, T ), true, product( T, Y, identity ), true ), true ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 64, [ =( ifeq( product( Y, Z, X ), true, ifeq( product( inverse( X
% 1.44/1.83 ), Y, T ), true, product( T, Z, identity ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 10010, [ =( ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 inverse( Z ), X, T ), true, product( T, Y, identity ), true ), true ),
% 1.44/1.83 true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10012, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T
% 1.44/1.83 , Z, U ), true, ifeq( product( T, X, W ), true, product( W, Y, U ), true
% 1.44/1.83 ), true ), true ) ) ] )
% 1.44/1.83 , clause( 6, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Z, U )
% 1.44/1.83 , true, ifeq( product( T, X, W ), true, product( W, Y, U ), true ), true
% 1.44/1.83 ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.44/1.83 :=( U, U ), :=( W, W )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10015, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true, true
% 1.44/1.83 , ifeq( product( identity, X, T ), true, product( T, Y, Z ), true ), true
% 1.44/1.83 ), true ) ) ] )
% 1.44/1.83 , clause( 1, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , 0, clause( 10012, [ =( true, ifeq( product( X, Y, Z ), true, ifeq(
% 1.44/1.83 product( T, Z, U ), true, ifeq( product( T, X, W ), true, product( W, Y,
% 1.44/1.83 U ), true ), true ), true ) ) ] )
% 1.44/1.83 , 0, 9, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 1.44/1.83 :=( Y, Y ), :=( Z, Z ), :=( T, identity ), :=( U, Z ), :=( W, T )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10020, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 identity, X, T ), true, product( T, Y, Z ), true ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10015, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true,
% 1.44/1.83 true, ifeq( product( identity, X, T ), true, product( T, Y, Z ), true ),
% 1.44/1.83 true ), true ) ) ] )
% 1.44/1.83 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( identity, X
% 1.44/1.83 , T ), true, product( T, Y, Z ), true ) ), :=( Z, true )] ),
% 1.44/1.83 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10021, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( identity
% 1.44/1.83 , X, T ), true, product( T, Y, Z ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 10020, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 identity, X, T ), true, product( T, Y, Z ), true ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 68, [ =( ifeq( product( Y, Z, X ), true, ifeq( product( identity, Y
% 1.44/1.83 , T ), true, product( T, Z, X ), true ), true ), true ) ] )
% 1.44/1.83 , clause( 10021, [ =( ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 identity, X, T ), true, product( T, Y, Z ), true ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10023, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T
% 1.44/1.83 , U, X ), true, product( T, multiply( U, Y ), Z ), true ), true ) ) ] )
% 1.44/1.83 , clause( 38, [ =( ifeq( product( Z, Y, T ), true, ifeq( product( U, X, Z )
% 1.44/1.83 , true, product( U, multiply( X, Y ), T ), true ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, U ), :=( Y, Y ), :=( Z, X ), :=( T, Z ),
% 1.44/1.83 :=( U, T )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10025, [ =( true, ifeq( true, true, ifeq( product( Y, Z, identity )
% 1.44/1.83 , true, product( Y, multiply( Z, X ), X ), true ), true ) ) ] )
% 1.44/1.83 , clause( 1, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , 0, clause( 10023, [ =( true, ifeq( product( X, Y, Z ), true, ifeq(
% 1.44/1.83 product( T, U, X ), true, product( T, multiply( U, Y ), Z ), true ), true
% 1.44/1.83 ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.44/1.83 identity ), :=( Y, X ), :=( Z, X ), :=( T, Y ), :=( U, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10030, [ =( true, ifeq( product( X, Y, identity ), true, product( X
% 1.44/1.83 , multiply( Y, Z ), Z ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10025, [ =( true, ifeq( true, true, ifeq( product( Y, Z,
% 1.44/1.83 identity ), true, product( Y, multiply( Z, X ), X ), true ), true ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( X, Y,
% 1.44/1.83 identity ), true, product( X, multiply( Y, Z ), Z ), true ) ), :=( Z,
% 1.44/1.83 true )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10031, [ =( ifeq( product( X, Y, identity ), true, product( X,
% 1.44/1.83 multiply( Y, Z ), Z ), true ), true ) ] )
% 1.44/1.83 , clause( 10030, [ =( true, ifeq( product( X, Y, identity ), true, product(
% 1.44/1.83 X, multiply( Y, Z ), Z ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 224, [ =( ifeq( product( Y, Z, identity ), true, product( Y,
% 1.44/1.83 multiply( Z, X ), X ), true ), true ) ] )
% 1.44/1.83 , clause( 10031, [ =( ifeq( product( X, Y, identity ), true, product( X,
% 1.44/1.83 multiply( Y, Z ), Z ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10033, [ =( true, ifeq( product( identity, X, Y ), true, ifeq(
% 1.44/1.83 product( Z, X, T ), true, product( inverse( Z ), T, Y ), true ), true ) )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 43, [ =( ifeq( product( identity, Y, Z ), true, ifeq( product( X
% 1.44/1.83 , Y, T ), true, product( inverse( X ), T, Z ), true ), true ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10035, [ =( true, ifeq( true, true, ifeq( product( Y, X, Z ), true
% 1.44/1.83 , product( inverse( Y ), Z, X ), true ), true ) ) ] )
% 1.44/1.83 , clause( 1, [ =( product( identity, X, X ), true ) ] )
% 1.44/1.83 , 0, clause( 10033, [ =( true, ifeq( product( identity, X, Y ), true, ifeq(
% 1.44/1.83 product( Z, X, T ), true, product( inverse( Z ), T, Y ), true ), true ) )
% 1.44/1.83 ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.44/1.83 :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10039, [ =( true, ifeq( product( X, Y, Z ), true, product( inverse(
% 1.44/1.83 X ), Z, Y ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10035, [ =( true, ifeq( true, true, ifeq( product( Y, X, Z ),
% 1.44/1.83 true, product( inverse( Y ), Z, X ), true ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( X, Y, Z ),
% 1.44/1.83 true, product( inverse( X ), Z, Y ), true ) ), :=( Z, true )] ),
% 1.44/1.83 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10040, [ =( ifeq( product( X, Y, Z ), true, product( inverse( X ),
% 1.44/1.83 Z, Y ), true ), true ) ] )
% 1.44/1.83 , clause( 10039, [ =( true, ifeq( product( X, Y, Z ), true, product(
% 1.44/1.83 inverse( X ), Z, Y ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 269, [ =( ifeq( product( Y, X, Z ), true, product( inverse( Y ), Z
% 1.44/1.83 , X ), true ), true ) ] )
% 1.44/1.83 , clause( 10040, [ =( ifeq( product( X, Y, Z ), true, product( inverse( X )
% 1.44/1.83 , Z, Y ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.44/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10042, [ =( true, ifeq( product( X, identity, Y ), true, ifeq(
% 1.44/1.83 product( X, inverse( Z ), T ), true, product( T, Z, Y ), true ), true ) )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 63, [ =( ifeq( product( Y, identity, Z ), true, ifeq( product( Y
% 1.44/1.83 , inverse( X ), T ), true, product( T, X, Z ), true ), true ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10045, [ =( true, ifeq( product( inverse( inverse( X ) ), identity
% 1.44/1.83 , Y ), true, ifeq( true, true, product( identity, X, Y ), true ), true )
% 1.44/1.83 ) ] )
% 1.44/1.83 , clause( 2, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , 0, clause( 10042, [ =( true, ifeq( product( X, identity, Y ), true, ifeq(
% 1.44/1.83 product( X, inverse( Z ), T ), true, product( T, Z, Y ), true ), true ) )
% 1.44/1.83 ] )
% 1.44/1.83 , 0, 11, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 1.44/1.83 :=( X, inverse( inverse( X ) ) ), :=( Y, Y ), :=( Z, X ), :=( T, identity
% 1.44/1.83 )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10047, [ =( true, ifeq( product( inverse( inverse( X ) ), identity
% 1.44/1.83 , Y ), true, product( identity, X, Y ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10045, [ =( true, ifeq( product( inverse( inverse( X ) ),
% 1.44/1.83 identity, Y ), true, ifeq( true, true, product( identity, X, Y ), true )
% 1.44/1.83 , true ) ) ] )
% 1.44/1.83 , 0, 10, substitution( 0, [ :=( X, true ), :=( Y, product( identity, X, Y )
% 1.44/1.83 ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10048, [ =( ifeq( product( inverse( inverse( X ) ), identity, Y ),
% 1.44/1.83 true, product( identity, X, Y ), true ), true ) ] )
% 1.44/1.83 , clause( 10047, [ =( true, ifeq( product( inverse( inverse( X ) ),
% 1.44/1.83 identity, Y ), true, product( identity, X, Y ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 537, [ =( ifeq( product( inverse( inverse( X ) ), identity, Y ),
% 1.44/1.83 true, product( identity, X, Y ), true ), true ) ] )
% 1.44/1.83 , clause( 10048, [ =( ifeq( product( inverse( inverse( X ) ), identity, Y )
% 1.44/1.83 , true, product( identity, X, Y ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.44/1.83 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10050, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 inverse( Z ), X, T ), true, product( T, Y, identity ), true ), true ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , clause( 64, [ =( ifeq( product( Y, Z, X ), true, ifeq( product( inverse(
% 1.44/1.83 X ), Y, T ), true, product( T, Z, identity ), true ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10053, [ =( true, ifeq( product( X, Y, X ), true, ifeq( true, true
% 1.44/1.83 , product( identity, Y, identity ), true ), true ) ) ] )
% 1.44/1.83 , clause( 2, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , 0, clause( 10050, [ =( true, ifeq( product( X, Y, Z ), true, ifeq(
% 1.44/1.83 product( inverse( Z ), X, T ), true, product( T, Y, identity ), true ),
% 1.44/1.83 true ) ) ] )
% 1.44/1.83 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.44/1.83 :=( Y, Y ), :=( Z, X ), :=( T, identity )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10055, [ =( true, ifeq( product( X, Y, X ), true, product( identity
% 1.44/1.83 , Y, identity ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10053, [ =( true, ifeq( product( X, Y, X ), true, ifeq( true,
% 1.44/1.83 true, product( identity, Y, identity ), true ), true ) ) ] )
% 1.44/1.83 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, product( identity, Y,
% 1.44/1.83 identity ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10056, [ =( ifeq( product( X, Y, X ), true, product( identity, Y,
% 1.44/1.83 identity ), true ), true ) ] )
% 1.44/1.83 , clause( 10055, [ =( true, ifeq( product( X, Y, X ), true, product(
% 1.44/1.83 identity, Y, identity ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 560, [ =( ifeq( product( X, Y, X ), true, product( identity, Y,
% 1.44/1.83 identity ), true ), true ) ] )
% 1.44/1.83 , clause( 10056, [ =( ifeq( product( X, Y, X ), true, product( identity, Y
% 1.44/1.83 , identity ), true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.44/1.83 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10058, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 1.44/1.83 identity, X, T ), true, product( T, Y, Z ), true ), true ) ) ] )
% 1.44/1.83 , clause( 68, [ =( ifeq( product( Y, Z, X ), true, ifeq( product( identity
% 1.44/1.83 , Y, T ), true, product( T, Z, X ), true ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10061, [ =( true, ifeq( product( a, X, Y ), true, ifeq( true, true
% 1.44/1.83 , product( b, X, Y ), true ), true ) ) ] )
% 1.44/1.83 , clause( 19, [ =( product( identity, a, b ), true ) ] )
% 1.44/1.83 , 0, clause( 10058, [ =( true, ifeq( product( X, Y, Z ), true, ifeq(
% 1.44/1.83 product( identity, X, T ), true, product( T, Y, Z ), true ), true ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, X ),
% 1.44/1.83 :=( Z, Y ), :=( T, b )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10063, [ =( true, ifeq( product( a, X, Y ), true, product( b, X, Y
% 1.44/1.83 ), true ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10061, [ =( true, ifeq( product( a, X, Y ), true, ifeq( true,
% 1.44/1.83 true, product( b, X, Y ), true ), true ) ) ] )
% 1.44/1.83 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, product( b, X, Y ) ), :=(
% 1.44/1.83 Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10064, [ =( ifeq( product( a, X, Y ), true, product( b, X, Y ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 , clause( 10063, [ =( true, ifeq( product( a, X, Y ), true, product( b, X,
% 1.44/1.83 Y ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 607, [ =( ifeq( product( a, X, Y ), true, product( b, X, Y ), true
% 1.44/1.83 ), true ) ] )
% 1.44/1.83 , clause( 10064, [ =( ifeq( product( a, X, Y ), true, product( b, X, Y ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.44/1.83 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10066, [ =( true, ifeq( product( X, Y, identity ), true, product( X
% 1.44/1.83 , multiply( Y, Z ), Z ), true ) ) ] )
% 1.44/1.83 , clause( 224, [ =( ifeq( product( Y, Z, identity ), true, product( Y,
% 1.44/1.83 multiply( Z, X ), X ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10068, [ =( true, ifeq( true, true, product( inverse( X ), multiply(
% 1.44/1.83 X, Y ), Y ), true ) ) ] )
% 1.44/1.83 , clause( 2, [ =( product( inverse( X ), X, identity ), true ) ] )
% 1.44/1.83 , 0, clause( 10066, [ =( true, ifeq( product( X, Y, identity ), true,
% 1.44/1.83 product( X, multiply( Y, Z ), Z ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.44/1.83 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10070, [ =( true, product( inverse( X ), multiply( X, Y ), Y ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10068, [ =( true, ifeq( true, true, product( inverse( X ),
% 1.44/1.83 multiply( X, Y ), Y ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( inverse( X ),
% 1.44/1.83 multiply( X, Y ), Y ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )
% 1.44/1.83 , :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10071, [ =( product( inverse( X ), multiply( X, Y ), Y ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , clause( 10070, [ =( true, product( inverse( X ), multiply( X, Y ), Y ) )
% 1.44/1.83 ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 1905, [ =( product( inverse( X ), multiply( X, Y ), Y ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , clause( 10071, [ =( product( inverse( X ), multiply( X, Y ), Y ), true )
% 1.44/1.83 ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.44/1.83 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10073, [ =( true, ifeq( product( X, Y, X ), true, product( identity
% 1.44/1.83 , Y, identity ), true ) ) ] )
% 1.44/1.83 , clause( 560, [ =( ifeq( product( X, Y, X ), true, product( identity, Y,
% 1.44/1.83 identity ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10075, [ =( true, ifeq( true, true, product( identity, multiply( X
% 1.44/1.83 , inverse( X ) ), identity ), true ) ) ] )
% 1.44/1.83 , clause( 1905, [ =( product( inverse( X ), multiply( X, Y ), Y ), true ) ]
% 1.44/1.83 )
% 1.44/1.83 , 0, clause( 10073, [ =( true, ifeq( product( X, Y, X ), true, product(
% 1.44/1.83 identity, Y, identity ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 1.44/1.83 substitution( 1, [ :=( X, inverse( X ) ), :=( Y, multiply( X, inverse( X
% 1.44/1.83 ) ) )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10076, [ =( true, product( identity, multiply( X, inverse( X ) ),
% 1.44/1.83 identity ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10075, [ =( true, ifeq( true, true, product( identity,
% 1.44/1.83 multiply( X, inverse( X ) ), identity ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( identity,
% 1.44/1.83 multiply( X, inverse( X ) ), identity ) ), :=( Z, true )] ),
% 1.44/1.83 substitution( 1, [ :=( X, X )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10077, [ =( product( identity, multiply( X, inverse( X ) ),
% 1.44/1.83 identity ), true ) ] )
% 1.44/1.83 , clause( 10076, [ =( true, product( identity, multiply( X, inverse( X ) )
% 1.44/1.83 , identity ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 1912, [ =( product( identity, multiply( X, inverse( X ) ), identity
% 1.44/1.83 ), true ) ] )
% 1.44/1.83 , clause( 10077, [ =( product( identity, multiply( X, inverse( X ) ),
% 1.44/1.83 identity ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10079, [ =( true, ifeq( product( identity, X, Y ), true, equalish(
% 1.44/1.83 X, Y ), true ) ) ] )
% 1.44/1.83 , clause( 28, [ =( ifeq( product( identity, X, Y ), true, equalish( X, Y )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10081, [ =( true, ifeq( true, true, equalish( multiply( X, inverse(
% 1.44/1.83 X ) ), identity ), true ) ) ] )
% 1.44/1.83 , clause( 1912, [ =( product( identity, multiply( X, inverse( X ) ),
% 1.44/1.83 identity ), true ) ] )
% 1.44/1.83 , 0, clause( 10079, [ =( true, ifeq( product( identity, X, Y ), true,
% 1.44/1.83 equalish( X, Y ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.44/1.83 multiply( X, inverse( X ) ) ), :=( Y, identity )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10082, [ =( true, equalish( multiply( X, inverse( X ) ), identity )
% 1.44/1.83 ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10081, [ =( true, ifeq( true, true, equalish( multiply( X,
% 1.44/1.83 inverse( X ) ), identity ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, equalish( multiply( X,
% 1.44/1.83 inverse( X ) ), identity ) ), :=( Z, true )] ), substitution( 1, [ :=( X
% 1.44/1.83 , X )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10083, [ =( equalish( multiply( X, inverse( X ) ), identity ), true
% 1.44/1.83 ) ] )
% 1.44/1.83 , clause( 10082, [ =( true, equalish( multiply( X, inverse( X ) ), identity
% 1.44/1.83 ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 1937, [ =( equalish( multiply( X, inverse( X ) ), identity ), true
% 1.44/1.83 ) ] )
% 1.44/1.83 , clause( 10083, [ =( equalish( multiply( X, inverse( X ) ), identity ),
% 1.44/1.83 true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10085, [ =( true, ifeq( equalish( multiply( X, Y ), Z ), true,
% 1.44/1.83 product( X, Y, Z ), true ) ) ] )
% 1.44/1.83 , clause( 10, [ =( ifeq( equalish( multiply( X, Y ), Z ), true, product( X
% 1.44/1.83 , Y, Z ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10087, [ =( true, ifeq( true, true, product( X, inverse( X ),
% 1.44/1.83 identity ), true ) ) ] )
% 1.44/1.83 , clause( 1937, [ =( equalish( multiply( X, inverse( X ) ), identity ),
% 1.44/1.83 true ) ] )
% 1.44/1.83 , 0, clause( 10085, [ =( true, ifeq( equalish( multiply( X, Y ), Z ), true
% 1.44/1.83 , product( X, Y, Z ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.44/1.83 :=( Y, inverse( X ) ), :=( Z, identity )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10088, [ =( true, product( X, inverse( X ), identity ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10087, [ =( true, ifeq( true, true, product( X, inverse( X ),
% 1.44/1.83 identity ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( X, inverse( X ),
% 1.44/1.83 identity ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10089, [ =( product( X, inverse( X ), identity ), true ) ] )
% 1.44/1.83 , clause( 10088, [ =( true, product( X, inverse( X ), identity ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 1947, [ =( product( X, inverse( X ), identity ), true ) ] )
% 1.44/1.83 , clause( 10089, [ =( product( X, inverse( X ), identity ), true ) ] )
% 1.44/1.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10091, [ =( true, ifeq( product( a, X, Y ), true, product( b, X, Y
% 1.44/1.83 ), true ) ) ] )
% 1.44/1.83 , clause( 607, [ =( ifeq( product( a, X, Y ), true, product( b, X, Y ),
% 1.44/1.83 true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10093, [ =( true, ifeq( true, true, product( b, inverse( a ),
% 1.44/1.83 identity ), true ) ) ] )
% 1.44/1.83 , clause( 1947, [ =( product( X, inverse( X ), identity ), true ) ] )
% 1.44/1.83 , 0, clause( 10091, [ =( true, ifeq( product( a, X, Y ), true, product( b,
% 1.44/1.83 X, Y ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, inverse(
% 1.44/1.83 a ) ), :=( Y, identity )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10095, [ =( true, product( b, inverse( a ), identity ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10093, [ =( true, ifeq( true, true, product( b, inverse( a ),
% 1.44/1.83 identity ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( b, inverse( a ),
% 1.44/1.83 identity ) ), :=( Z, true )] ), substitution( 1, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10096, [ =( product( b, inverse( a ), identity ), true ) ] )
% 1.44/1.83 , clause( 10095, [ =( true, product( b, inverse( a ), identity ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 1956, [ =( product( b, inverse( a ), identity ), true ) ] )
% 1.44/1.83 , clause( 10096, [ =( product( b, inverse( a ), identity ), true ) ] )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10098, [ =( true, ifeq( product( X, Y, Z ), true, product( inverse(
% 1.44/1.83 X ), Z, Y ), true ) ) ] )
% 1.44/1.83 , clause( 269, [ =( ifeq( product( Y, X, Z ), true, product( inverse( Y ),
% 1.44/1.83 Z, X ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10100, [ =( true, ifeq( true, true, product( inverse( b ), identity
% 1.44/1.83 , inverse( a ) ), true ) ) ] )
% 1.44/1.83 , clause( 1956, [ =( product( b, inverse( a ), identity ), true ) ] )
% 1.44/1.83 , 0, clause( 10098, [ =( true, ifeq( product( X, Y, Z ), true, product(
% 1.44/1.83 inverse( X ), Z, Y ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 1.44/1.83 inverse( a ) ), :=( Z, identity )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10101, [ =( true, product( inverse( b ), identity, inverse( a ) ) )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10100, [ =( true, ifeq( true, true, product( inverse( b ),
% 1.44/1.83 identity, inverse( a ) ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( inverse( b ),
% 1.44/1.83 identity, inverse( a ) ) ), :=( Z, true )] ), substitution( 1, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10102, [ =( product( inverse( b ), identity, inverse( a ) ), true )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 10101, [ =( true, product( inverse( b ), identity, inverse( a ) )
% 1.44/1.83 ) ] )
% 1.44/1.83 , 0, substitution( 0, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 3686, [ =( product( inverse( b ), identity, inverse( a ) ), true )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 10102, [ =( product( inverse( b ), identity, inverse( a ) ), true
% 1.44/1.83 ) ] )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10104, [ =( true, ifeq( product( X, Y, Z ), true, product( inverse(
% 1.44/1.83 X ), Z, Y ), true ) ) ] )
% 1.44/1.83 , clause( 269, [ =( ifeq( product( Y, X, Z ), true, product( inverse( Y ),
% 1.44/1.83 Z, X ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10106, [ =( true, ifeq( true, true, product( inverse( inverse( b )
% 1.44/1.83 ), inverse( a ), identity ), true ) ) ] )
% 1.44/1.83 , clause( 3686, [ =( product( inverse( b ), identity, inverse( a ) ), true
% 1.44/1.83 ) ] )
% 1.44/1.83 , 0, clause( 10104, [ =( true, ifeq( product( X, Y, Z ), true, product(
% 1.44/1.83 inverse( X ), Z, Y ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 1.44/1.83 :=( Y, identity ), :=( Z, inverse( a ) )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10108, [ =( true, product( inverse( inverse( b ) ), inverse( a ),
% 1.44/1.83 identity ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10106, [ =( true, ifeq( true, true, product( inverse( inverse(
% 1.44/1.83 b ) ), inverse( a ), identity ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( inverse( inverse(
% 1.44/1.83 b ) ), inverse( a ), identity ) ), :=( Z, true )] ), substitution( 1, [] )
% 1.44/1.83 ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10109, [ =( product( inverse( inverse( b ) ), inverse( a ),
% 1.44/1.83 identity ), true ) ] )
% 1.44/1.83 , clause( 10108, [ =( true, product( inverse( inverse( b ) ), inverse( a )
% 1.44/1.83 , identity ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 3769, [ =( product( inverse( inverse( b ) ), inverse( a ), identity
% 1.44/1.83 ), true ) ] )
% 1.44/1.83 , clause( 10109, [ =( product( inverse( inverse( b ) ), inverse( a ),
% 1.44/1.83 identity ), true ) ] )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10111, [ =( true, ifeq( product( X, Y, Z ), true, product( inverse(
% 1.44/1.83 X ), Z, Y ), true ) ) ] )
% 1.44/1.83 , clause( 269, [ =( ifeq( product( Y, X, Z ), true, product( inverse( Y ),
% 1.44/1.83 Z, X ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10113, [ =( true, ifeq( true, true, product( inverse( inverse(
% 1.44/1.83 inverse( b ) ) ), identity, inverse( a ) ), true ) ) ] )
% 1.44/1.83 , clause( 3769, [ =( product( inverse( inverse( b ) ), inverse( a ),
% 1.44/1.83 identity ), true ) ] )
% 1.44/1.83 , 0, clause( 10111, [ =( true, ifeq( product( X, Y, Z ), true, product(
% 1.44/1.83 inverse( X ), Z, Y ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( inverse(
% 1.44/1.83 b ) ) ), :=( Y, inverse( a ) ), :=( Z, identity )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10115, [ =( true, product( inverse( inverse( inverse( b ) ) ),
% 1.44/1.83 identity, inverse( a ) ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10113, [ =( true, ifeq( true, true, product( inverse( inverse(
% 1.44/1.83 inverse( b ) ) ), identity, inverse( a ) ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( inverse( inverse(
% 1.44/1.83 inverse( b ) ) ), identity, inverse( a ) ) ), :=( Z, true )] ),
% 1.44/1.83 substitution( 1, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10116, [ =( product( inverse( inverse( inverse( b ) ) ), identity,
% 1.44/1.83 inverse( a ) ), true ) ] )
% 1.44/1.83 , clause( 10115, [ =( true, product( inverse( inverse( inverse( b ) ) ),
% 1.44/1.83 identity, inverse( a ) ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 3993, [ =( product( inverse( inverse( inverse( b ) ) ), identity,
% 1.44/1.83 inverse( a ) ), true ) ] )
% 1.44/1.83 , clause( 10116, [ =( product( inverse( inverse( inverse( b ) ) ), identity
% 1.44/1.83 , inverse( a ) ), true ) ] )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10118, [ =( true, ifeq( product( inverse( inverse( X ) ), identity
% 1.44/1.83 , Y ), true, product( identity, X, Y ), true ) ) ] )
% 1.44/1.83 , clause( 537, [ =( ifeq( product( inverse( inverse( X ) ), identity, Y ),
% 1.44/1.83 true, product( identity, X, Y ), true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10120, [ =( true, ifeq( true, true, product( identity, inverse( b )
% 1.44/1.83 , inverse( a ) ), true ) ) ] )
% 1.44/1.83 , clause( 3993, [ =( product( inverse( inverse( inverse( b ) ) ), identity
% 1.44/1.83 , inverse( a ) ), true ) ] )
% 1.44/1.83 , 0, clause( 10118, [ =( true, ifeq( product( inverse( inverse( X ) ),
% 1.44/1.83 identity, Y ), true, product( identity, X, Y ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 1.44/1.83 :=( Y, inverse( a ) )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10121, [ =( true, product( identity, inverse( b ), inverse( a ) ) )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10120, [ =( true, ifeq( true, true, product( identity, inverse(
% 1.44/1.83 b ), inverse( a ) ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( identity, inverse(
% 1.44/1.83 b ), inverse( a ) ) ), :=( Z, true )] ), substitution( 1, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10122, [ =( product( identity, inverse( b ), inverse( a ) ), true )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 10121, [ =( true, product( identity, inverse( b ), inverse( a ) )
% 1.44/1.83 ) ] )
% 1.44/1.83 , 0, substitution( 0, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 9830, [ =( product( identity, inverse( b ), inverse( a ) ), true )
% 1.44/1.83 ] )
% 1.44/1.83 , clause( 10122, [ =( product( identity, inverse( b ), inverse( a ) ), true
% 1.44/1.83 ) ] )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10124, [ =( true, ifeq( product( identity, X, Y ), true, equalish(
% 1.44/1.83 Y, X ), true ) ) ] )
% 1.44/1.83 , clause( 27, [ =( ifeq( product( identity, X, Y ), true, equalish( Y, X )
% 1.44/1.83 , true ), true ) ] )
% 1.44/1.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 eqswap(
% 1.44/1.83 clause( 10126, [ ~( =( true, equalish( inverse( a ), inverse( b ) ) ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , clause( 9, [ ~( =( equalish( inverse( a ), inverse( b ) ), true ) ) ] )
% 1.44/1.83 , 0, substitution( 0, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10127, [ =( true, ifeq( true, true, equalish( inverse( a ), inverse(
% 1.44/1.83 b ) ), true ) ) ] )
% 1.44/1.83 , clause( 9830, [ =( product( identity, inverse( b ), inverse( a ) ), true
% 1.44/1.83 ) ] )
% 1.44/1.83 , 0, clause( 10124, [ =( true, ifeq( product( identity, X, Y ), true,
% 1.44/1.83 equalish( Y, X ), true ) ) ] )
% 1.44/1.83 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 1.44/1.83 :=( Y, inverse( a ) )] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 paramod(
% 1.44/1.83 clause( 10128, [ =( true, equalish( inverse( a ), inverse( b ) ) ) ] )
% 1.44/1.83 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.44/1.83 , 0, clause( 10127, [ =( true, ifeq( true, true, equalish( inverse( a ),
% 1.44/1.83 inverse( b ) ), true ) ) ] )
% 1.44/1.83 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, equalish( inverse( a ),
% 1.44/1.83 inverse( b ) ) ), :=( Z, true )] ), substitution( 1, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 resolution(
% 1.44/1.83 clause( 10129, [] )
% 1.44/1.83 , clause( 10126, [ ~( =( true, equalish( inverse( a ), inverse( b ) ) ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , 0, clause( 10128, [ =( true, equalish( inverse( a ), inverse( b ) ) ) ]
% 1.44/1.83 )
% 1.44/1.83 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 subsumption(
% 1.44/1.83 clause( 9864, [] )
% 1.44/1.83 , clause( 10129, [] )
% 1.44/1.83 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 end.
% 1.44/1.83
% 1.44/1.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.44/1.83
% 1.44/1.83 Memory use:
% 1.44/1.83
% 1.44/1.83 space for terms: 123562
% 1.44/1.83 space for clauses: 939628
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 clauses generated: 97683
% 1.44/1.83 clauses kept: 9865
% 1.44/1.83 clauses selected: 1535
% 1.44/1.83 clauses deleted: 349
% 1.44/1.83 clauses inuse deleted: 187
% 1.44/1.83
% 1.44/1.83 subsentry: 973
% 1.44/1.83 literals s-matched: 541
% 1.44/1.83 literals matched: 541
% 1.44/1.83 full subsumption: 0
% 1.44/1.83
% 1.44/1.83 checksum: 834855127
% 1.44/1.83
% 1.44/1.83
% 1.44/1.83 Bliksem ended
%------------------------------------------------------------------------------