TSTP Solution File: BOO004-10 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO004-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 23:30:33 EDT 2022
% Result : Unsatisfiable 4.64s 5.01s
% Output : Refutation 4.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO004-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 1 23:28:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.64/5.01 *** allocated 10000 integers for termspace/termends
% 4.64/5.01 *** allocated 10000 integers for clauses
% 4.64/5.01 *** allocated 10000 integers for justifications
% 4.64/5.01 Bliksem 1.12
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 Automatic Strategy Selection
% 4.64/5.01
% 4.64/5.01 Clauses:
% 4.64/5.01 [
% 4.64/5.01 [ =( ifeq2( X, X, Y, Z ), Y ) ],
% 4.64/5.01 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 4.64/5.01 [ =( sum( X, Y, add( X, Y ) ), true ) ],
% 4.64/5.01 [ =( product( X, Y, multiply( X, Y ) ), true ) ],
% 4.64/5.01 [ =( ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, product( Y, X, Z ), true ), true )
% 4.64/5.01 ],
% 4.64/5.01 [ =( sum( 'additive_identity', X, X ), true ) ],
% 4.64/5.01 [ =( sum( X, 'additive_identity', X ), true ) ],
% 4.64/5.01 [ =( product( 'multiplicative_identity', X, X ), true ) ],
% 4.64/5.01 [ =( product( X, 'multiplicative_identity', X ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U ), true,
% 4.64/5.01 ifeq( product( X, W, V0 ), true, ifeq( sum( W, T, Y ), true, sum( V0, U,
% 4.64/5.01 Z ), true ), true ), true ), true ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U ), true,
% 4.64/5.01 ifeq( sum( U, Z, W ), true, ifeq( sum( T, Y, V0 ), true, product( X, V0,
% 4.64/5.01 W ), true ), true ), true ), true ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U ), true,
% 4.64/5.01 ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true, sum( V0, U,
% 4.64/5.01 Z ), true ), true ), true ), true ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U ), true,
% 4.64/5.01 ifeq( sum( U, Z, W ), true, ifeq( sum( T, X, V0 ), true, product( V0, Y,
% 4.64/5.01 W ), true ), true ), true ), true ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U ), true, ifeq(
% 4.64/5.01 sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true, product( V0, W, U ),
% 4.64/5.01 true ), true ), true ), true ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, U, W ), true,
% 4.64/5.01 ifeq( sum( V0, U, Y ), true, ifeq( sum( V0, T, X ), true, sum( V0, W, Z )
% 4.64/5.01 , true ), true ), true ), true ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( Z, T, U ), true, ifeq(
% 4.64/5.01 sum( Y, T, W ), true, ifeq( sum( X, T, V0 ), true, product( V0, W, U ),
% 4.64/5.01 true ), true ), true ), true ), true ) ],
% 4.64/5.01 [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, U, W ), true,
% 4.64/5.01 ifeq( sum( U, V0, Y ), true, ifeq( sum( T, V0, X ), true, sum( W, V0, Z )
% 4.64/5.01 , true ), true ), true ), true ), true ) ],
% 4.64/5.01 [ =( sum( inverse( X ), X, 'multiplicative_identity' ), true ) ],
% 4.64/5.01 [ =( sum( X, inverse( X ), 'multiplicative_identity' ), true ) ],
% 4.64/5.01 [ =( product( inverse( X ), X, 'additive_identity' ), true ) ],
% 4.64/5.01 [ =( product( X, inverse( X ), 'additive_identity' ), true ) ],
% 4.64/5.01 [ =( ifeq2( sum( X, Y, Z ), true, ifeq2( sum( X, Y, T ), true, T, Z ), Z
% 4.64/5.01 ), Z ) ],
% 4.64/5.01 [ =( ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y, T ), true, T
% 4.64/5.01 , Z ), Z ), Z ) ],
% 4.64/5.01 [ ~( =( sum( x, x, x ), true ) ) ]
% 4.64/5.01 ] .
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 percentage equality = 1.000000, percentage horn = 1.000000
% 4.64/5.01 This is a pure equality problem
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 Options Used:
% 4.64/5.01
% 4.64/5.01 useres = 1
% 4.64/5.01 useparamod = 1
% 4.64/5.01 useeqrefl = 1
% 4.64/5.01 useeqfact = 1
% 4.64/5.01 usefactor = 1
% 4.64/5.01 usesimpsplitting = 0
% 4.64/5.01 usesimpdemod = 5
% 4.64/5.01 usesimpres = 3
% 4.64/5.01
% 4.64/5.01 resimpinuse = 1000
% 4.64/5.01 resimpclauses = 20000
% 4.64/5.01 substype = eqrewr
% 4.64/5.01 backwardsubs = 1
% 4.64/5.01 selectoldest = 5
% 4.64/5.01
% 4.64/5.01 litorderings [0] = split
% 4.64/5.01 litorderings [1] = extend the termordering, first sorting on arguments
% 4.64/5.01
% 4.64/5.01 termordering = kbo
% 4.64/5.01
% 4.64/5.01 litapriori = 0
% 4.64/5.01 termapriori = 1
% 4.64/5.01 litaposteriori = 0
% 4.64/5.01 termaposteriori = 0
% 4.64/5.01 demodaposteriori = 0
% 4.64/5.01 ordereqreflfact = 0
% 4.64/5.01
% 4.64/5.01 litselect = negord
% 4.64/5.01
% 4.64/5.01 maxweight = 15
% 4.64/5.01 maxdepth = 30000
% 4.64/5.01 maxlength = 115
% 4.64/5.01 maxnrvars = 195
% 4.64/5.01 excuselevel = 1
% 4.64/5.01 increasemaxweight = 1
% 4.64/5.01
% 4.64/5.01 maxselected = 10000000
% 4.64/5.01 maxnrclauses = 10000000
% 4.64/5.01
% 4.64/5.01 showgenerated = 0
% 4.64/5.01 showkept = 0
% 4.64/5.01 showselected = 0
% 4.64/5.01 showdeleted = 0
% 4.64/5.01 showresimp = 1
% 4.64/5.01 showstatus = 2000
% 4.64/5.01
% 4.64/5.01 prologoutput = 1
% 4.64/5.01 nrgoals = 5000000
% 4.64/5.01 totalproof = 1
% 4.64/5.01
% 4.64/5.01 Symbols occurring in the translation:
% 4.64/5.01
% 4.64/5.01 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.64/5.01 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 4.64/5.01 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 4.64/5.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.64/5.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.64/5.01 ifeq2 [42, 4] (w:1, o:60, a:1, s:1, b:0),
% 4.64/5.01 ifeq [43, 4] (w:1, o:61, a:1, s:1, b:0),
% 4.64/5.01 add [46, 2] (w:1, o:56, a:1, s:1, b:0),
% 4.64/5.01 sum [47, 3] (w:1, o:58, a:1, s:1, b:0),
% 4.64/5.01 true [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 4.64/5.01 multiply [49, 2] (w:1, o:57, a:1, s:1, b:0),
% 4.64/5.01 product [50, 3] (w:1, o:59, a:1, s:1, b:0),
% 4.64/5.01 'additive_identity' [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 4.64/5.01 'multiplicative_identity' [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 4.64/5.01 inverse [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 4.64/5.01 x [61, 0] (w:1, o:24, a:1, s:1, b:0).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 Starting Search:
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01 Failed to find proof!
% 4.64/5.01 maxweight = 15
% 4.64/5.01 maxnrclauses = 10000000
% 4.64/5.01 Generated: 7341
% 4.64/5.01 Kept: 281
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 The strategy used was not complete!
% 4.64/5.01
% 4.64/5.01 Increased maxweight to 16
% 4.64/5.01
% 4.64/5.01 Starting Search:
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01 Failed to find proof!
% 4.64/5.01 maxweight = 16
% 4.64/5.01 maxnrclauses = 10000000
% 4.64/5.01 Generated: 7341
% 4.64/5.01 Kept: 281
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 The strategy used was not complete!
% 4.64/5.01
% 4.64/5.01 Increased maxweight to 17
% 4.64/5.01
% 4.64/5.01 Starting Search:
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01 Failed to find proof!
% 4.64/5.01 maxweight = 17
% 4.64/5.01 maxnrclauses = 10000000
% 4.64/5.01 Generated: 8920
% 4.64/5.01 Kept: 331
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 The strategy used was not complete!
% 4.64/5.01
% 4.64/5.01 Increased maxweight to 18
% 4.64/5.01
% 4.64/5.01 Starting Search:
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01 Failed to find proof!
% 4.64/5.01 maxweight = 18
% 4.64/5.01 maxnrclauses = 10000000
% 4.64/5.01 Generated: 9177
% 4.64/5.01 Kept: 341
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 The strategy used was not complete!
% 4.64/5.01
% 4.64/5.01 Increased maxweight to 19
% 4.64/5.01
% 4.64/5.01 Starting Search:
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01 Failed to find proof!
% 4.64/5.01 maxweight = 19
% 4.64/5.01 maxnrclauses = 10000000
% 4.64/5.01 Generated: 28360
% 4.64/5.01 Kept: 532
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 The strategy used was not complete!
% 4.64/5.01
% 4.64/5.01 Increased maxweight to 20
% 4.64/5.01
% 4.64/5.01 Starting Search:
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 Intermediate Status:
% 4.64/5.01 Generated: 221588
% 4.64/5.01 Kept: 2007
% 4.64/5.01 Inuse: 1013
% 4.64/5.01 Deleted: 319
% 4.64/5.01 Deletedinuse: 207
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 Intermediate Status:
% 4.64/5.01 Generated: 281404
% 4.64/5.01 Kept: 4219
% 4.64/5.01 Inuse: 1131
% 4.64/5.01 Deleted: 606
% 4.64/5.01 Deletedinuse: 353
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 Intermediate Status:
% 4.64/5.01 Generated: 780168
% 4.64/5.01 Kept: 6220
% 4.64/5.01 Inuse: 1786
% 4.64/5.01 Deleted: 1158
% 4.64/5.01 Deletedinuse: 604
% 4.64/5.01
% 4.64/5.01 Resimplifying inuse:
% 4.64/5.01 Done
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 Bliksems!, er is een bewijs:
% 4.64/5.01 % SZS status Unsatisfiable
% 4.64/5.01 % SZS output start Refutation
% 4.64/5.01
% 4.64/5.01 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 2, [ =( sum( X, Y, add( X, Y ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 4, [ =( ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true ), true )
% 4.64/5.01 ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 5, [ =( ifeq( product( X, Y, Z ), true, product( Y, X, Z ), true )
% 4.64/5.01 , true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6, [ =( sum( 'additive_identity', X, X ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 8, [ =( product( 'multiplicative_identity', X, X ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 9, [ =( product( X, 'multiplicative_identity', X ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 10, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U ),
% 4.64/5.01 true, ifeq( product( X, W, V0 ), true, ifeq( sum( W, T, Y ), true, sum(
% 4.64/5.01 V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 11, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U ),
% 4.64/5.01 true, ifeq( sum( U, Z, W ), true, ifeq( sum( T, Y, V0 ), true, product( X
% 4.64/5.01 , V0, W ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 12, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U ),
% 4.64/5.01 true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true, sum(
% 4.64/5.01 V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 14, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U ), true
% 4.64/5.01 , ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true, product( V0, W
% 4.64/5.01 , U ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 19, [ =( sum( X, inverse( X ), 'multiplicative_identity' ), true )
% 4.64/5.01 ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 21, [ =( product( X, inverse( X ), 'additive_identity' ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 .
% 4.64/5.01 clause( 22, [ =( ifeq2( sum( X, Y, Z ), true, ifeq2( sum( X, Y, T ), true,
% 4.64/5.01 T, Z ), Z ), Z ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 23, [ =( ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y, T )
% 4.64/5.01 , true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 24, [ ~( =( sum( x, x, x ), true ) ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 25, [ =( product( Y, X, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 26, [ =( sum( Y, X, add( X, Y ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 28, [ =( ifeq2( product( X, Y, Z ), true, multiply( Y, X ), Z ), Z
% 4.64/5.01 ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 29, [ =( ifeq2( product( X, Y, Z ), true, Z, multiply( X, Y ) ),
% 4.64/5.01 multiply( X, Y ) ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 35, [ =( ifeq2( product( 'multiplicative_identity', X, Y ), true, Y
% 4.64/5.01 , X ), X ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 39, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 40, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 66, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U ),
% 4.64/5.01 true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X, Z )
% 4.64/5.01 , true ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 68, [ =( ifeq( product( X, Z, T ), true, ifeq( sum( T, multiply( X
% 4.64/5.01 , Y ), U ), true, ifeq( sum( Z, Y, W ), true, product( X, W, U ), true )
% 4.64/5.01 , true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 96, [ =( ifeq( product( Z, Y, T ), true, ifeq( product( U, Y, W ),
% 4.64/5.01 true, ifeq( sum( U, Z, X ), true, sum( W, T, multiply( X, Y ) ), true ),
% 4.64/5.01 true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 116, [ =( ifeq( product( Y, X, Z ), true, ifeq( product( T, X, U )
% 4.64/5.01 , true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X, Z
% 4.64/5.01 ), true ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 152, [ =( ifeq( product( Z, T, Y ), true, ifeq( sum( X, T, U ),
% 4.64/5.01 true, ifeq( sum( X, Z, W ), true, product( W, U, add( X, Y ) ), true ),
% 4.64/5.01 true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 156, [ =( ifeq( product( Y, inverse( X ), Z ), true, ifeq( sum( X,
% 4.64/5.01 Z, T ), true, ifeq( sum( X, Y, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 180, [ =( ifeq2( sum( 'additive_identity', X, Y ), true, Y, X ), X
% 4.64/5.01 ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 185, [ =( add( 'additive_identity', X ), X ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 425, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 442, [ =( ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y, T ), true,
% 4.64/5.01 product( 'multiplicative_identity', T, Z ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 578, [ =( ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 615, [ =( product( 'multiplicative_identity', add( X, Y ), add( Y,
% 4.64/5.01 X ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 623, [ =( product( add( X, Y ), 'multiplicative_identity', add( Y,
% 4.64/5.01 X ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 663, [ =( ifeq( product( Y, 'multiplicative_identity', Z ), true,
% 4.64/5.01 ifeq( sum( Y, X, T ), true, sum( Z, X, T ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 761, [ =( ifeq( product( Y, X, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 842, [ =( ifeq( product( X, 'multiplicative_identity', Z ), true,
% 4.64/5.01 sum( Z, Y, add( Y, X ) ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 883, [ =( sum( add( Y, X ), Z, add( Z, add( X, Y ) ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 902, [ =( sum( Z, add( X, Y ), add( Z, add( Y, X ) ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 1076, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 1192, [ =( ifeq( sum( X, 'additive_identity', Y ), true, ifeq( sum(
% 4.64/5.01 X, X, Z ), true, product( Z, 'multiplicative_identity', Y ), true ), true
% 4.64/5.01 ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 2807, [ =( ifeq( product( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), Y ), true, sum( X, X, Y ), true ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 .
% 4.64/5.01 clause( 2832, [ =( sum( X, X, multiply( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ) ) ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 5242, [ =( ifeq( product( add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ), true )
% 4.64/5.01 ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 5569, [ =( ifeq( sum( 'additive_identity', Y, Z ), true, product( X
% 4.64/5.01 , Z, multiply( Y, X ) ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6268, [ =( product( Z, add( Y, X ), multiply( add( X, Y ), Z ) ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6295, [ =( multiply( add( Z, Y ), X ), multiply( X, add( Y, Z ) ) )
% 4.64/5.01 ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6373, [ =( ifeq2( product( add( Y, Z ), X, T ), true, multiply( add(
% 4.64/5.01 Z, Y ), X ), T ), T ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6921, [ =( ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6943, [ =( product( add( X, X ), 'multiplicative_identity', X ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6944, [ =( add( X, X ), X ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6947, [ =( sum( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 6948, [ =( sum( X, X, X ), true ) ] )
% 4.64/5.01 .
% 4.64/5.01 clause( 7005, [] )
% 4.64/5.01 .
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 % SZS output end Refutation
% 4.64/5.01 found a proof!
% 4.64/5.01
% 4.64/5.01 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.64/5.01
% 4.64/5.01 initialclauses(
% 4.64/5.01 [ clause( 7007, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , clause( 7008, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , clause( 7009, [ =( sum( X, Y, add( X, Y ) ), true ) ] )
% 4.64/5.01 , clause( 7010, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , clause( 7011, [ =( ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7012, [ =( ifeq( product( X, Y, Z ), true, product( Y, X, Z ),
% 4.64/5.01 true ), true ) ] )
% 4.64/5.01 , clause( 7013, [ =( sum( 'additive_identity', X, X ), true ) ] )
% 4.64/5.01 , clause( 7014, [ =( sum( X, 'additive_identity', X ), true ) ] )
% 4.64/5.01 , clause( 7015, [ =( product( 'multiplicative_identity', X, X ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 7016, [ =( product( X, 'multiplicative_identity', X ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 7017, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U
% 4.64/5.01 ), true, ifeq( product( X, W, V0 ), true, ifeq( sum( W, T, Y ), true,
% 4.64/5.01 sum( V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7018, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U
% 4.64/5.01 ), true, ifeq( sum( U, Z, W ), true, ifeq( sum( T, Y, V0 ), true,
% 4.64/5.01 product( X, V0, W ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7019, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U
% 4.64/5.01 ), true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true,
% 4.64/5.01 sum( V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7020, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U
% 4.64/5.01 ), true, ifeq( sum( U, Z, W ), true, ifeq( sum( T, X, V0 ), true,
% 4.64/5.01 product( V0, Y, W ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7021, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U ),
% 4.64/5.01 true, ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true, product(
% 4.64/5.01 V0, W, U ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7022, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, U, W
% 4.64/5.01 ), true, ifeq( sum( V0, U, Y ), true, ifeq( sum( V0, T, X ), true, sum(
% 4.64/5.01 V0, W, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7023, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( Z, T, U ),
% 4.64/5.01 true, ifeq( sum( Y, T, W ), true, ifeq( sum( X, T, V0 ), true, product(
% 4.64/5.01 V0, W, U ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7024, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, U, W
% 4.64/5.01 ), true, ifeq( sum( U, V0, Y ), true, ifeq( sum( T, V0, X ), true, sum(
% 4.64/5.01 W, V0, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7025, [ =( sum( inverse( X ), X, 'multiplicative_identity' ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7026, [ =( sum( X, inverse( X ), 'multiplicative_identity' ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7027, [ =( product( inverse( X ), X, 'additive_identity' ), true
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 7028, [ =( product( X, inverse( X ), 'additive_identity' ), true
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 7029, [ =( ifeq2( sum( X, Y, Z ), true, ifeq2( sum( X, Y, T ),
% 4.64/5.01 true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 , clause( 7030, [ =( ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y
% 4.64/5.01 , T ), true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 , clause( 7031, [ ~( =( sum( x, x, x ), true ) ) ] )
% 4.64/5.01 ] ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , clause( 7007, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , clause( 7008, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 2, [ =( sum( X, Y, add( X, Y ) ), true ) ] )
% 4.64/5.01 , clause( 7009, [ =( sum( X, Y, add( X, Y ) ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , clause( 7010, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 4, [ =( ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true ), true )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 7011, [ =( ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 5, [ =( ifeq( product( X, Y, Z ), true, product( Y, X, Z ), true )
% 4.64/5.01 , true ) ] )
% 4.64/5.01 , clause( 7012, [ =( ifeq( product( X, Y, Z ), true, product( Y, X, Z ),
% 4.64/5.01 true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 6, [ =( sum( 'additive_identity', X, X ), true ) ] )
% 4.64/5.01 , clause( 7013, [ =( sum( 'additive_identity', X, X ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 8, [ =( product( 'multiplicative_identity', X, X ), true ) ] )
% 4.64/5.01 , clause( 7015, [ =( product( 'multiplicative_identity', X, X ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 9, [ =( product( X, 'multiplicative_identity', X ), true ) ] )
% 4.64/5.01 , clause( 7016, [ =( product( X, 'multiplicative_identity', X ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 10, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U ),
% 4.64/5.01 true, ifeq( product( X, W, V0 ), true, ifeq( sum( W, T, Y ), true, sum(
% 4.64/5.01 V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7017, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U
% 4.64/5.01 ), true, ifeq( product( X, W, V0 ), true, ifeq( sum( W, T, Y ), true,
% 4.64/5.01 sum( V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.64/5.01 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 11, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U ),
% 4.64/5.01 true, ifeq( sum( U, Z, W ), true, ifeq( sum( T, Y, V0 ), true, product( X
% 4.64/5.01 , V0, W ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7018, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U
% 4.64/5.01 ), true, ifeq( sum( U, Z, W ), true, ifeq( sum( T, Y, V0 ), true,
% 4.64/5.01 product( X, V0, W ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.64/5.01 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 12, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U ),
% 4.64/5.01 true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true, sum(
% 4.64/5.01 V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7019, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U
% 4.64/5.01 ), true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true,
% 4.64/5.01 sum( V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.64/5.01 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 14, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U ), true
% 4.64/5.01 , ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true, product( V0, W
% 4.64/5.01 , U ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7021, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U ),
% 4.64/5.01 true, ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true, product(
% 4.64/5.01 V0, W, U ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.64/5.01 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 19, [ =( sum( X, inverse( X ), 'multiplicative_identity' ), true )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 7026, [ =( sum( X, inverse( X ), 'multiplicative_identity' ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 21, [ =( product( X, inverse( X ), 'additive_identity' ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 7028, [ =( product( X, inverse( X ), 'additive_identity' ), true
% 4.64/5.01 ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 22, [ =( ifeq2( sum( X, Y, Z ), true, ifeq2( sum( X, Y, T ), true,
% 4.64/5.01 T, Z ), Z ), Z ) ] )
% 4.64/5.01 , clause( 7029, [ =( ifeq2( sum( X, Y, Z ), true, ifeq2( sum( X, Y, T ),
% 4.64/5.01 true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 23, [ =( ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y, T )
% 4.64/5.01 , true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 , clause( 7030, [ =( ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y
% 4.64/5.01 , T ), true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 24, [ ~( =( sum( x, x, x ), true ) ) ] )
% 4.64/5.01 , clause( 7031, [ ~( =( sum( x, x, x ), true ) ) ] )
% 4.64/5.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7245, [ =( true, ifeq( product( X, Y, Z ), true, product( Y, X, Z )
% 4.64/5.01 , true ) ) ] )
% 4.64/5.01 , clause( 5, [ =( ifeq( product( X, Y, Z ), true, product( Y, X, Z ), true
% 4.64/5.01 ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7247, [ =( true, ifeq( true, true, product( Y, X, multiply( X, Y )
% 4.64/5.01 ), true ) ) ] )
% 4.64/5.01 , clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7245, [ =( true, ifeq( product( X, Y, Z ), true, product( Y, X
% 4.64/5.01 , Z ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7249, [ =( true, product( X, Y, multiply( Y, X ) ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7247, [ =( true, ifeq( true, true, product( Y, X, multiply( X
% 4.64/5.01 , Y ) ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( X, Y, multiply( Y
% 4.64/5.01 , X ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7250, [ =( product( X, Y, multiply( Y, X ) ), true ) ] )
% 4.64/5.01 , clause( 7249, [ =( true, product( X, Y, multiply( Y, X ) ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 25, [ =( product( Y, X, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , clause( 7250, [ =( product( X, Y, multiply( Y, X ) ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7252, [ =( true, ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true )
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 4, [ =( ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true ), true
% 4.64/5.01 ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7254, [ =( true, ifeq( true, true, sum( Y, X, add( X, Y ) ), true )
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 2, [ =( sum( X, Y, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7252, [ =( true, ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ),
% 4.64/5.01 true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7256, [ =( true, sum( X, Y, add( Y, X ) ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7254, [ =( true, ifeq( true, true, sum( Y, X, add( X, Y ) ),
% 4.64/5.01 true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, sum( X, Y, add( Y, X ) ) )
% 4.64/5.01 , :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7257, [ =( sum( X, Y, add( Y, X ) ), true ) ] )
% 4.64/5.01 , clause( 7256, [ =( true, sum( X, Y, add( Y, X ) ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 26, [ =( sum( Y, X, add( X, Y ) ), true ) ] )
% 4.64/5.01 , clause( 7257, [ =( sum( X, Y, add( Y, X ) ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7259, [ =( Z, ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y
% 4.64/5.01 , T ), true, T, Z ), Z ) ) ] )
% 4.64/5.01 , clause( 23, [ =( ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y, T
% 4.64/5.01 ), true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7262, [ =( X, ifeq2( product( Y, Z, X ), true, ifeq2( true, true,
% 4.64/5.01 multiply( Z, Y ), X ), X ) ) ] )
% 4.64/5.01 , clause( 25, [ =( product( Y, X, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7259, [ =( Z, ifeq2( product( X, Y, Z ), true, ifeq2( product(
% 4.64/5.01 X, Y, T ), true, T, Z ), Z ) ) ] )
% 4.64/5.01 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, multiply( Z, Y ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7263, [ =( X, ifeq2( product( Y, Z, X ), true, multiply( Z, Y ), X
% 4.64/5.01 ) ) ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7262, [ =( X, ifeq2( product( Y, Z, X ), true, ifeq2( true,
% 4.64/5.01 true, multiply( Z, Y ), X ), X ) ) ] )
% 4.64/5.01 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, multiply( Z, Y ) ), :=( Z
% 4.64/5.01 , X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7264, [ =( ifeq2( product( Y, Z, X ), true, multiply( Z, Y ), X ),
% 4.64/5.01 X ) ] )
% 4.64/5.01 , clause( 7263, [ =( X, ifeq2( product( Y, Z, X ), true, multiply( Z, Y ),
% 4.64/5.01 X ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 28, [ =( ifeq2( product( X, Y, Z ), true, multiply( Y, X ), Z ), Z
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 7264, [ =( ifeq2( product( Y, Z, X ), true, multiply( Z, Y ), X )
% 4.64/5.01 , X ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7266, [ =( Z, ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y
% 4.64/5.01 , T ), true, T, Z ), Z ) ) ] )
% 4.64/5.01 , clause( 23, [ =( ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y, T
% 4.64/5.01 ), true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7268, [ =( multiply( X, Y ), ifeq2( true, true, ifeq2( product( X,
% 4.64/5.01 Y, Z ), true, Z, multiply( X, Y ) ), multiply( X, Y ) ) ) ] )
% 4.64/5.01 , clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7266, [ =( Z, ifeq2( product( X, Y, Z ), true, ifeq2( product(
% 4.64/5.01 X, Y, T ), true, T, Z ), Z ) ) ] )
% 4.64/5.01 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) ), :=( T, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7272, [ =( multiply( X, Y ), ifeq2( product( X, Y, Z ), true, Z,
% 4.64/5.01 multiply( X, Y ) ) ) ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7268, [ =( multiply( X, Y ), ifeq2( true, true, ifeq2( product(
% 4.64/5.01 X, Y, Z ), true, Z, multiply( X, Y ) ), multiply( X, Y ) ) ) ] )
% 4.64/5.01 , 0, 4, substitution( 0, [ :=( X, true ), :=( Y, ifeq2( product( X, Y, Z )
% 4.64/5.01 , true, Z, multiply( X, Y ) ) ), :=( Z, multiply( X, Y ) )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7273, [ =( ifeq2( product( X, Y, Z ), true, Z, multiply( X, Y ) ),
% 4.64/5.01 multiply( X, Y ) ) ] )
% 4.64/5.01 , clause( 7272, [ =( multiply( X, Y ), ifeq2( product( X, Y, Z ), true, Z,
% 4.64/5.01 multiply( X, Y ) ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 29, [ =( ifeq2( product( X, Y, Z ), true, Z, multiply( X, Y ) ),
% 4.64/5.01 multiply( X, Y ) ) ] )
% 4.64/5.01 , clause( 7273, [ =( ifeq2( product( X, Y, Z ), true, Z, multiply( X, Y ) )
% 4.64/5.01 , multiply( X, Y ) ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7275, [ =( Z, ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y
% 4.64/5.01 , T ), true, T, Z ), Z ) ) ] )
% 4.64/5.01 , clause( 23, [ =( ifeq2( product( X, Y, Z ), true, ifeq2( product( X, Y, T
% 4.64/5.01 ), true, T, Z ), Z ), Z ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7277, [ =( X, ifeq2( true, true, ifeq2( product(
% 4.64/5.01 'multiplicative_identity', X, Y ), true, Y, X ), X ) ) ] )
% 4.64/5.01 , clause( 8, [ =( product( 'multiplicative_identity', X, X ), true ) ] )
% 4.64/5.01 , 0, clause( 7275, [ =( Z, ifeq2( product( X, Y, Z ), true, ifeq2( product(
% 4.64/5.01 X, Y, T ), true, T, Z ), Z ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 4.64/5.01 'multiplicative_identity' ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7281, [ =( X, ifeq2( product( 'multiplicative_identity', X, Y ),
% 4.64/5.01 true, Y, X ) ) ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7277, [ =( X, ifeq2( true, true, ifeq2( product(
% 4.64/5.01 'multiplicative_identity', X, Y ), true, Y, X ), X ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq2( product(
% 4.64/5.01 'multiplicative_identity', X, Y ), true, Y, X ) ), :=( Z, X )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7282, [ =( ifeq2( product( 'multiplicative_identity', X, Y ), true
% 4.64/5.01 , Y, X ), X ) ] )
% 4.64/5.01 , clause( 7281, [ =( X, ifeq2( product( 'multiplicative_identity', X, Y ),
% 4.64/5.01 true, Y, X ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 35, [ =( ifeq2( product( 'multiplicative_identity', X, Y ), true, Y
% 4.64/5.01 , X ), X ) ] )
% 4.64/5.01 , clause( 7282, [ =( ifeq2( product( 'multiplicative_identity', X, Y ),
% 4.64/5.01 true, Y, X ), X ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7284, [ =( X, ifeq2( product( 'multiplicative_identity', X, Y ),
% 4.64/5.01 true, Y, X ) ) ] )
% 4.64/5.01 , clause( 35, [ =( ifeq2( product( 'multiplicative_identity', X, Y ), true
% 4.64/5.01 , Y, X ), X ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7286, [ =( X, ifeq2( true, true, multiply( X,
% 4.64/5.01 'multiplicative_identity' ), X ) ) ] )
% 4.64/5.01 , clause( 25, [ =( product( Y, X, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7284, [ =( X, ifeq2( product( 'multiplicative_identity', X, Y
% 4.64/5.01 ), true, Y, X ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' )] )
% 4.64/5.01 , substitution( 1, [ :=( X, X ), :=( Y, multiply( X,
% 4.64/5.01 'multiplicative_identity' ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7287, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7286, [ =( X, ifeq2( true, true, multiply( X,
% 4.64/5.01 'multiplicative_identity' ), X ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, multiply( X,
% 4.64/5.01 'multiplicative_identity' ) ), :=( Z, X )] ), substitution( 1, [ :=( X, X
% 4.64/5.01 )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7288, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 4.64/5.01 , clause( 7287, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 39, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 4.64/5.01 , clause( 7288, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7290, [ =( X, ifeq2( product( 'multiplicative_identity', X, Y ),
% 4.64/5.01 true, Y, X ) ) ] )
% 4.64/5.01 , clause( 35, [ =( ifeq2( product( 'multiplicative_identity', X, Y ), true
% 4.64/5.01 , Y, X ), X ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7292, [ =( X, ifeq2( true, true, multiply(
% 4.64/5.01 'multiplicative_identity', X ), X ) ) ] )
% 4.64/5.01 , clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7290, [ =( X, ifeq2( product( 'multiplicative_identity', X, Y
% 4.64/5.01 ), true, Y, X ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, 'multiplicative_identity' ), :=( Y, X )] )
% 4.64/5.01 , substitution( 1, [ :=( X, X ), :=( Y, multiply(
% 4.64/5.01 'multiplicative_identity', X ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7293, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7292, [ =( X, ifeq2( true, true, multiply(
% 4.64/5.01 'multiplicative_identity', X ), X ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, multiply(
% 4.64/5.01 'multiplicative_identity', X ) ), :=( Z, X )] ), substitution( 1, [ :=( X
% 4.64/5.01 , X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7294, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 4.64/5.01 , clause( 7293, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 40, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 4.64/5.01 , clause( 7294, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7296, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( X,
% 4.64/5.01 T, U ), true, ifeq( product( X, W, V0 ), true, ifeq( sum( W, T, Y ), true
% 4.64/5.01 , sum( V0, U, Z ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 10, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U )
% 4.64/5.01 , true, ifeq( product( X, W, V0 ), true, ifeq( sum( W, T, Y ), true, sum(
% 4.64/5.01 V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W ), :=( V0, V0 )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7299, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true, true,
% 4.64/5.01 ifeq( product( X, T, U ), true, ifeq( sum( T, 'multiplicative_identity',
% 4.64/5.01 Y ), true, sum( U, X, Z ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 9, [ =( product( X, 'multiplicative_identity', X ), true ) ] )
% 4.64/5.01 , 0, clause( 7296, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 4.64/5.01 X, T, U ), true, ifeq( product( X, W, V0 ), true, ifeq( sum( W, T, Y ),
% 4.64/5.01 true, sum( V0, U, Z ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y ), :=( Z, Z ), :=( T, 'multiplicative_identity' ), :=( U, X ),
% 4.64/5.01 :=( W, T ), :=( V0, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7303, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( X,
% 4.64/5.01 T, U ), true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U
% 4.64/5.01 , X, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7299, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true,
% 4.64/5.01 true, ifeq( product( X, T, U ), true, ifeq( sum( T,
% 4.64/5.01 'multiplicative_identity', Y ), true, sum( U, X, Z ), true ), true ),
% 4.64/5.01 true ), true ) ) ] )
% 4.64/5.01 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( X, T, U ),
% 4.64/5.01 true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X, Z )
% 4.64/5.01 , true ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=(
% 4.64/5.01 Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7304, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U )
% 4.64/5.01 , true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X, Z
% 4.64/5.01 ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7303, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( X
% 4.64/5.01 , T, U ), true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum(
% 4.64/5.01 U, X, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 66, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U ),
% 4.64/5.01 true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X, Z )
% 4.64/5.01 , true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7304, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U
% 4.64/5.01 ), true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X,
% 4.64/5.01 Z ), true ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.64/5.01 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7306, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( X,
% 4.64/5.01 T, U ), true, ifeq( sum( U, Z, W ), true, ifeq( sum( T, Y, V0 ), true,
% 4.64/5.01 product( X, V0, W ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 11, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U )
% 4.64/5.01 , true, ifeq( sum( U, Z, W ), true, ifeq( sum( T, Y, V0 ), true, product(
% 4.64/5.01 X, V0, W ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W ), :=( V0, V0 )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7308, [ =( true, ifeq( true, true, ifeq( product( X, Z, T ), true,
% 4.64/5.01 ifeq( sum( T, multiply( X, Y ), U ), true, ifeq( sum( Z, Y, W ), true,
% 4.64/5.01 product( X, W, U ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7306, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 4.64/5.01 X, T, U ), true, ifeq( sum( U, Z, W ), true, ifeq( sum( T, Y, V0 ), true
% 4.64/5.01 , product( X, V0, W ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) ), :=( T, Z ), :=( U, T )
% 4.64/5.01 , :=( W, U ), :=( V0, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7313, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( Z,
% 4.64/5.01 multiply( X, T ), U ), true, ifeq( sum( Y, T, W ), true, product( X, W, U
% 4.64/5.01 ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7308, [ =( true, ifeq( true, true, ifeq( product( X, Z, T ),
% 4.64/5.01 true, ifeq( sum( T, multiply( X, Y ), U ), true, ifeq( sum( Z, Y, W ),
% 4.64/5.01 true, product( X, W, U ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( X, Y, Z ),
% 4.64/5.01 true, ifeq( sum( Z, multiply( X, T ), U ), true, ifeq( sum( Y, T, W ),
% 4.64/5.01 true, product( X, W, U ), true ), true ), true ) ), :=( Z, true )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z ), :=( U
% 4.64/5.01 , U ), :=( W, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7314, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( Z, multiply(
% 4.64/5.01 X, T ), U ), true, ifeq( sum( Y, T, W ), true, product( X, W, U ), true )
% 4.64/5.01 , true ), true ), true ) ] )
% 4.64/5.01 , clause( 7313, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( Z,
% 4.64/5.01 multiply( X, T ), U ), true, ifeq( sum( Y, T, W ), true, product( X, W, U
% 4.64/5.01 ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 68, [ =( ifeq( product( X, Z, T ), true, ifeq( sum( T, multiply( X
% 4.64/5.01 , Y ), U ), true, ifeq( sum( Z, Y, W ), true, product( X, W, U ), true )
% 4.64/5.01 , true ), true ), true ) ] )
% 4.64/5.01 , clause( 7314, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( Z, multiply(
% 4.64/5.01 X, T ), U ), true, ifeq( sum( Y, T, W ), true, product( X, W, U ), true )
% 4.64/5.01 , true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y ), :=( U
% 4.64/5.01 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7316, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 4.64/5.01 Y, U ), true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true
% 4.64/5.01 , sum( V0, U, Z ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 12, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U )
% 4.64/5.01 , true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true, sum(
% 4.64/5.01 V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W ), :=( V0, V0 )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7318, [ =( true, ifeq( true, true, ifeq( product( Z, Y, T ), true,
% 4.64/5.01 ifeq( product( U, Y, W ), true, ifeq( sum( U, Z, X ), true, sum( W, T,
% 4.64/5.01 multiply( X, Y ) ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7316, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 4.64/5.01 T, Y, U ), true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ),
% 4.64/5.01 true, sum( V0, U, Z ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) ), :=( T, Z ), :=( U, T )
% 4.64/5.01 , :=( W, U ), :=( V0, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7325, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 4.64/5.01 Y, U ), true, ifeq( sum( T, X, W ), true, sum( U, Z, multiply( W, Y ) ),
% 4.64/5.01 true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7318, [ =( true, ifeq( true, true, ifeq( product( Z, Y, T ),
% 4.64/5.01 true, ifeq( product( U, Y, W ), true, ifeq( sum( U, Z, X ), true, sum( W
% 4.64/5.01 , T, multiply( X, Y ) ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( X, Y, Z ),
% 4.64/5.01 true, ifeq( product( T, Y, U ), true, ifeq( sum( T, X, W ), true, sum( U
% 4.64/5.01 , Z, multiply( W, Y ) ), true ), true ), true ) ), :=( Z, true )] ),
% 4.64/5.01 substitution( 1, [ :=( X, W ), :=( Y, Y ), :=( Z, X ), :=( T, Z ), :=( U
% 4.64/5.01 , T ), :=( W, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7326, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U )
% 4.64/5.01 , true, ifeq( sum( T, X, W ), true, sum( U, Z, multiply( W, Y ) ), true )
% 4.64/5.01 , true ), true ), true ) ] )
% 4.64/5.01 , clause( 7325, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T
% 4.64/5.01 , Y, U ), true, ifeq( sum( T, X, W ), true, sum( U, Z, multiply( W, Y ) )
% 4.64/5.01 , true ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 96, [ =( ifeq( product( Z, Y, T ), true, ifeq( product( U, Y, W ),
% 4.64/5.01 true, ifeq( sum( U, Z, X ), true, sum( W, T, multiply( X, Y ) ), true ),
% 4.64/5.01 true ), true ), true ) ] )
% 4.64/5.01 , clause( 7326, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U
% 4.64/5.01 ), true, ifeq( sum( T, X, W ), true, sum( U, Z, multiply( W, Y ) ), true
% 4.64/5.01 ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, U ), :=( U
% 4.64/5.01 , W ), :=( W, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7328, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 4.64/5.01 Y, U ), true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true
% 4.64/5.01 , sum( V0, U, Z ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 12, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U )
% 4.64/5.01 , true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ), true, sum(
% 4.64/5.01 V0, U, Z ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W ), :=( V0, V0 )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7331, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true, true,
% 4.64/5.01 ifeq( product( T, Y, U ), true, ifeq( sum( T, 'multiplicative_identity',
% 4.64/5.01 X ), true, sum( U, Y, Z ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 8, [ =( product( 'multiplicative_identity', X, X ), true ) ] )
% 4.64/5.01 , 0, clause( 7328, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 4.64/5.01 T, Y, U ), true, ifeq( product( W, Y, V0 ), true, ifeq( sum( W, T, X ),
% 4.64/5.01 true, sum( V0, U, Z ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y ), :=( Z, Z ), :=( T, 'multiplicative_identity' ), :=( U, Y ),
% 4.64/5.01 :=( W, T ), :=( V0, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7335, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 4.64/5.01 Y, U ), true, ifeq( sum( T, 'multiplicative_identity', X ), true, sum( U
% 4.64/5.01 , Y, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7331, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true,
% 4.64/5.01 true, ifeq( product( T, Y, U ), true, ifeq( sum( T,
% 4.64/5.01 'multiplicative_identity', X ), true, sum( U, Y, Z ), true ), true ),
% 4.64/5.01 true ), true ) ) ] )
% 4.64/5.01 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( T, Y, U ),
% 4.64/5.01 true, ifeq( sum( T, 'multiplicative_identity', X ), true, sum( U, Y, Z )
% 4.64/5.01 , true ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=(
% 4.64/5.01 Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7336, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U )
% 4.64/5.01 , true, ifeq( sum( T, 'multiplicative_identity', X ), true, sum( U, Y, Z
% 4.64/5.01 ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7335, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T
% 4.64/5.01 , Y, U ), true, ifeq( sum( T, 'multiplicative_identity', X ), true, sum(
% 4.64/5.01 U, Y, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 116, [ =( ifeq( product( Y, X, Z ), true, ifeq( product( T, X, U )
% 4.64/5.01 , true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X, Z
% 4.64/5.01 ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7336, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( T, Y, U
% 4.64/5.01 ), true, ifeq( sum( T, 'multiplicative_identity', X ), true, sum( U, Y,
% 4.64/5.01 Z ), true ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ), :=( U
% 4.64/5.01 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7338, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U
% 4.64/5.01 ), true, ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true,
% 4.64/5.01 product( V0, W, U ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 14, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U ),
% 4.64/5.01 true, ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true, product(
% 4.64/5.01 V0, W, U ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W ), :=( V0, V0 )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7340, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true, true,
% 4.64/5.01 ifeq( sum( T, Y, U ), true, ifeq( sum( T, X, W ), true, product( W, U,
% 4.64/5.01 add( T, Z ) ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 2, [ =( sum( X, Y, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7338, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( T
% 4.64/5.01 , Z, U ), true, ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true,
% 4.64/5.01 product( V0, W, U ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 9, substitution( 0, [ :=( X, T ), :=( Y, Z )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, add( T, Z ) ),
% 4.64/5.01 :=( W, U ), :=( V0, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7347, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( T, Y, U
% 4.64/5.01 ), true, ifeq( sum( T, X, W ), true, product( W, U, add( T, Z ) ), true
% 4.64/5.01 ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7340, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true,
% 4.64/5.01 true, ifeq( sum( T, Y, U ), true, ifeq( sum( T, X, W ), true, product( W
% 4.64/5.01 , U, add( T, Z ) ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum( T, Y, U ), true
% 4.64/5.01 , ifeq( sum( T, X, W ), true, product( W, U, add( T, Z ) ), true ), true
% 4.64/5.01 ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 4.64/5.01 , Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7348, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Y, U ),
% 4.64/5.01 true, ifeq( sum( T, X, W ), true, product( W, U, add( T, Z ) ), true ),
% 4.64/5.01 true ), true ), true ) ] )
% 4.64/5.01 , clause( 7347, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( T, Y
% 4.64/5.01 , U ), true, ifeq( sum( T, X, W ), true, product( W, U, add( T, Z ) ),
% 4.64/5.01 true ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 152, [ =( ifeq( product( Z, T, Y ), true, ifeq( sum( X, T, U ),
% 4.64/5.01 true, ifeq( sum( X, Z, W ), true, product( W, U, add( X, Y ) ), true ),
% 4.64/5.01 true ), true ), true ) ] )
% 4.64/5.01 , clause( 7348, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Y, U ),
% 4.64/5.01 true, ifeq( sum( T, X, W ), true, product( W, U, add( T, Z ) ), true ),
% 4.64/5.01 true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X ), :=( U
% 4.64/5.01 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7350, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U
% 4.64/5.01 ), true, ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true,
% 4.64/5.01 product( V0, W, U ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 14, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum( T, Z, U ),
% 4.64/5.01 true, ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true, product(
% 4.64/5.01 V0, W, U ), true ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U ), :=( W, W ), :=( V0, V0 )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7353, [ =( true, ifeq( product( X, inverse( Y ), Z ), true, ifeq(
% 4.64/5.01 sum( Y, Z, T ), true, ifeq( true, true, ifeq( sum( Y, X, U ), true,
% 4.64/5.01 product( U, 'multiplicative_identity', T ), true ), true ), true ), true
% 4.64/5.01 ) ) ] )
% 4.64/5.01 , clause( 19, [ =( sum( X, inverse( X ), 'multiplicative_identity' ), true
% 4.64/5.01 ) ] )
% 4.64/5.01 , 0, clause( 7350, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( T
% 4.64/5.01 , Z, U ), true, ifeq( sum( T, Y, W ), true, ifeq( sum( T, X, V0 ), true,
% 4.64/5.01 product( V0, W, U ), true ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 16, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, inverse( Y ) ), :=( Z, Z ), :=( T, Y ), :=( U, T ), :=( W,
% 4.64/5.01 'multiplicative_identity' ), :=( V0, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7357, [ =( true, ifeq( product( X, inverse( Y ), Z ), true, ifeq(
% 4.64/5.01 sum( Y, Z, T ), true, ifeq( sum( Y, X, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7353, [ =( true, ifeq( product( X, inverse( Y ), Z ), true,
% 4.64/5.01 ifeq( sum( Y, Z, T ), true, ifeq( true, true, ifeq( sum( Y, X, U ), true
% 4.64/5.01 , product( U, 'multiplicative_identity', T ), true ), true ), true ),
% 4.64/5.01 true ) ) ] )
% 4.64/5.01 , 0, 15, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum( Y, X, U ),
% 4.64/5.01 true, product( U, 'multiplicative_identity', T ), true ) ), :=( Z, true )] )
% 4.64/5.01 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 4.64/5.01 U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7358, [ =( ifeq( product( X, inverse( Y ), Z ), true, ifeq( sum( Y
% 4.64/5.01 , Z, T ), true, ifeq( sum( Y, X, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7357, [ =( true, ifeq( product( X, inverse( Y ), Z ), true, ifeq(
% 4.64/5.01 sum( Y, Z, T ), true, ifeq( sum( Y, X, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 156, [ =( ifeq( product( Y, inverse( X ), Z ), true, ifeq( sum( X,
% 4.64/5.01 Z, T ), true, ifeq( sum( X, Y, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7358, [ =( ifeq( product( X, inverse( Y ), Z ), true, ifeq( sum(
% 4.64/5.01 Y, Z, T ), true, ifeq( sum( Y, X, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ), :=( U
% 4.64/5.01 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7360, [ =( Z, ifeq2( sum( X, Y, Z ), true, ifeq2( sum( X, Y, T ),
% 4.64/5.01 true, T, Z ), Z ) ) ] )
% 4.64/5.01 , clause( 22, [ =( ifeq2( sum( X, Y, Z ), true, ifeq2( sum( X, Y, T ), true
% 4.64/5.01 , T, Z ), Z ), Z ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7362, [ =( X, ifeq2( true, true, ifeq2( sum( 'additive_identity', X
% 4.64/5.01 , Y ), true, Y, X ), X ) ) ] )
% 4.64/5.01 , clause( 6, [ =( sum( 'additive_identity', X, X ), true ) ] )
% 4.64/5.01 , 0, clause( 7360, [ =( Z, ifeq2( sum( X, Y, Z ), true, ifeq2( sum( X, Y, T
% 4.64/5.01 ), true, T, Z ), Z ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 4.64/5.01 'additive_identity' ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7366, [ =( X, ifeq2( sum( 'additive_identity', X, Y ), true, Y, X )
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7362, [ =( X, ifeq2( true, true, ifeq2( sum(
% 4.64/5.01 'additive_identity', X, Y ), true, Y, X ), X ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq2( sum(
% 4.64/5.01 'additive_identity', X, Y ), true, Y, X ) ), :=( Z, X )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7367, [ =( ifeq2( sum( 'additive_identity', X, Y ), true, Y, X ), X
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 7366, [ =( X, ifeq2( sum( 'additive_identity', X, Y ), true, Y, X
% 4.64/5.01 ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 180, [ =( ifeq2( sum( 'additive_identity', X, Y ), true, Y, X ), X
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 7367, [ =( ifeq2( sum( 'additive_identity', X, Y ), true, Y, X )
% 4.64/5.01 , X ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7369, [ =( X, ifeq2( sum( 'additive_identity', X, Y ), true, Y, X )
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 180, [ =( ifeq2( sum( 'additive_identity', X, Y ), true, Y, X ),
% 4.64/5.01 X ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7371, [ =( X, ifeq2( true, true, add( 'additive_identity', X ), X )
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 2, [ =( sum( X, Y, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7369, [ =( X, ifeq2( sum( 'additive_identity', X, Y ), true, Y
% 4.64/5.01 , X ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, add( 'additive_identity', X ) )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7372, [ =( X, add( 'additive_identity', X ) ) ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7371, [ =( X, ifeq2( true, true, add( 'additive_identity', X )
% 4.64/5.01 , X ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, add( 'additive_identity',
% 4.64/5.01 X ) ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7373, [ =( add( 'additive_identity', X ), X ) ] )
% 4.64/5.01 , clause( 7372, [ =( X, add( 'additive_identity', X ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 185, [ =( add( 'additive_identity', X ), X ) ] )
% 4.64/5.01 , clause( 7373, [ =( add( 'additive_identity', X ), X ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7375, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( X,
% 4.64/5.01 T, U ), true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U
% 4.64/5.01 , X, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 66, [ =( ifeq( product( X, Y, Z ), true, ifeq( product( X, T, U )
% 4.64/5.01 , true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X, Z
% 4.64/5.01 ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7378, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true, true,
% 4.64/5.01 ifeq( sum( 'multiplicative_identity', 'multiplicative_identity', Y ),
% 4.64/5.01 true, sum( X, X, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 9, [ =( product( X, 'multiplicative_identity', X ), true ) ] )
% 4.64/5.01 , 0, clause( 7375, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 4.64/5.01 X, T, U ), true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum(
% 4.64/5.01 U, X, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y ), :=( Z, Z ), :=( T, 'multiplicative_identity' ), :=( U, X )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7379, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7378, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true,
% 4.64/5.01 true, ifeq( sum( 'multiplicative_identity', 'multiplicative_identity', Y
% 4.64/5.01 ), true, sum( X, X, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y
% 4.64/5.01 , Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7380, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7379, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 425, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7380, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7382, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( Z,
% 4.64/5.01 multiply( X, T ), U ), true, ifeq( sum( Y, T, W ), true, product( X, W, U
% 4.64/5.01 ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 68, [ =( ifeq( product( X, Z, T ), true, ifeq( sum( T, multiply(
% 4.64/5.01 X, Y ), U ), true, ifeq( sum( Z, Y, W ), true, product( X, W, U ), true )
% 4.64/5.01 , true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z ),
% 4.64/5.01 :=( U, U ), :=( W, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7385, [ =( true, ifeq( true, true, ifeq( sum( X, multiply(
% 4.64/5.01 'multiplicative_identity', Y ), Z ), true, ifeq( sum( X, Y, T ), true,
% 4.64/5.01 product( 'multiplicative_identity', T, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 8, [ =( product( 'multiplicative_identity', X, X ), true ) ] )
% 4.64/5.01 , 0, clause( 7382, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( Z
% 4.64/5.01 , multiply( X, T ), U ), true, ifeq( sum( Y, T, W ), true, product( X, W
% 4.64/5.01 , U ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 4.64/5.01 'multiplicative_identity' ), :=( Y, X ), :=( Z, X ), :=( T, Y ), :=( U, Z
% 4.64/5.01 ), :=( W, T )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7387, [ =( true, ifeq( sum( X, multiply( 'multiplicative_identity'
% 4.64/5.01 , Y ), Z ), true, ifeq( sum( X, Y, T ), true, product(
% 4.64/5.01 'multiplicative_identity', T, Z ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7385, [ =( true, ifeq( true, true, ifeq( sum( X, multiply(
% 4.64/5.01 'multiplicative_identity', Y ), Z ), true, ifeq( sum( X, Y, T ), true,
% 4.64/5.01 product( 'multiplicative_identity', T, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum( X, multiply(
% 4.64/5.01 'multiplicative_identity', Y ), Z ), true, ifeq( sum( X, Y, T ), true,
% 4.64/5.01 product( 'multiplicative_identity', T, Z ), true ), true ) ), :=( Z, true
% 4.64/5.01 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7388, [ =( true, ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y, T ),
% 4.64/5.01 true, product( 'multiplicative_identity', T, Z ), true ), true ) ) ] )
% 4.64/5.01 , clause( 40, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 4.64/5.01 , 0, clause( 7387, [ =( true, ifeq( sum( X, multiply(
% 4.64/5.01 'multiplicative_identity', Y ), Z ), true, ifeq( sum( X, Y, T ), true,
% 4.64/5.01 product( 'multiplicative_identity', T, Z ), true ), true ) ) ] )
% 4.64/5.01 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7389, [ =( ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y, T ), true,
% 4.64/5.01 product( 'multiplicative_identity', T, Z ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7388, [ =( true, ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y, T )
% 4.64/5.01 , true, product( 'multiplicative_identity', T, Z ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 442, [ =( ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y, T ), true,
% 4.64/5.01 product( 'multiplicative_identity', T, Z ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7389, [ =( ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y, T ), true
% 4.64/5.01 , product( 'multiplicative_identity', T, Z ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7391, [ =( true, ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y, T ),
% 4.64/5.01 true, product( 'multiplicative_identity', T, Z ), true ), true ) ) ] )
% 4.64/5.01 , clause( 442, [ =( ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y, T ), true
% 4.64/5.01 , product( 'multiplicative_identity', T, Z ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7393, [ =( true, ifeq( true, true, ifeq( sum( X, Y, Z ), true,
% 4.64/5.01 product( 'multiplicative_identity', Z, add( Y, X ) ), true ), true ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 26, [ =( sum( Y, X, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7391, [ =( true, ifeq( sum( X, Y, Z ), true, ifeq( sum( X, Y,
% 4.64/5.01 T ), true, product( 'multiplicative_identity', T, Z ), true ), true ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, add( Y, X ) ), :=( T, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7397, [ =( true, ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7393, [ =( true, ifeq( true, true, ifeq( sum( X, Y, Z ), true
% 4.64/5.01 , product( 'multiplicative_identity', Z, add( Y, X ) ), true ), true ) )
% 4.64/5.01 ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum( X, Y, Z ), true
% 4.64/5.01 , product( 'multiplicative_identity', Z, add( Y, X ) ), true ) ), :=( Z,
% 4.64/5.01 true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7398, [ =( ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ), true ) ] )
% 4.64/5.01 , clause( 7397, [ =( true, ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 578, [ =( ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ), true ) ] )
% 4.64/5.01 , clause( 7398, [ =( ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7400, [ =( true, ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ) ) ] )
% 4.64/5.01 , clause( 578, [ =( ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7402, [ =( true, ifeq( true, true, product(
% 4.64/5.01 'multiplicative_identity', add( X, Y ), add( Y, X ) ), true ) ) ] )
% 4.64/5.01 , clause( 2, [ =( sum( X, Y, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7400, [ =( true, ifeq( sum( X, Y, Z ), true, product(
% 4.64/5.01 'multiplicative_identity', Z, add( Y, X ) ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7403, [ =( true, product( 'multiplicative_identity', add( X, Y ),
% 4.64/5.01 add( Y, X ) ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7402, [ =( true, ifeq( true, true, product(
% 4.64/5.01 'multiplicative_identity', add( X, Y ), add( Y, X ) ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product(
% 4.64/5.01 'multiplicative_identity', add( X, Y ), add( Y, X ) ) ), :=( Z, true )] )
% 4.64/5.01 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7404, [ =( product( 'multiplicative_identity', add( X, Y ), add( Y
% 4.64/5.01 , X ) ), true ) ] )
% 4.64/5.01 , clause( 7403, [ =( true, product( 'multiplicative_identity', add( X, Y )
% 4.64/5.01 , add( Y, X ) ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 615, [ =( product( 'multiplicative_identity', add( X, Y ), add( Y,
% 4.64/5.01 X ) ), true ) ] )
% 4.64/5.01 , clause( 7404, [ =( product( 'multiplicative_identity', add( X, Y ), add(
% 4.64/5.01 Y, X ) ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7406, [ =( true, ifeq( product( X, Y, Z ), true, product( Y, X, Z )
% 4.64/5.01 , true ) ) ] )
% 4.64/5.01 , clause( 5, [ =( ifeq( product( X, Y, Z ), true, product( Y, X, Z ), true
% 4.64/5.01 ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7408, [ =( true, ifeq( true, true, product( add( X, Y ),
% 4.64/5.01 'multiplicative_identity', add( Y, X ) ), true ) ) ] )
% 4.64/5.01 , clause( 615, [ =( product( 'multiplicative_identity', add( X, Y ), add( Y
% 4.64/5.01 , X ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7406, [ =( true, ifeq( product( X, Y, Z ), true, product( Y, X
% 4.64/5.01 , Z ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, 'multiplicative_identity' ), :=( Y, add( X, Y ) ), :=( Z, add( Y,
% 4.64/5.01 X ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7410, [ =( true, product( add( X, Y ), 'multiplicative_identity',
% 4.64/5.01 add( Y, X ) ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7408, [ =( true, ifeq( true, true, product( add( X, Y ),
% 4.64/5.01 'multiplicative_identity', add( Y, X ) ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( add( X, Y ),
% 4.64/5.01 'multiplicative_identity', add( Y, X ) ) ), :=( Z, true )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7411, [ =( product( add( X, Y ), 'multiplicative_identity', add( Y
% 4.64/5.01 , X ) ), true ) ] )
% 4.64/5.01 , clause( 7410, [ =( true, product( add( X, Y ), 'multiplicative_identity'
% 4.64/5.01 , add( Y, X ) ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 623, [ =( product( add( X, Y ), 'multiplicative_identity', add( Y,
% 4.64/5.01 X ) ), true ) ] )
% 4.64/5.01 , clause( 7411, [ =( product( add( X, Y ), 'multiplicative_identity', add(
% 4.64/5.01 Y, X ) ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7413, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 4.64/5.01 Y, U ), true, ifeq( sum( T, X, W ), true, sum( U, Z, multiply( W, Y ) ),
% 4.64/5.01 true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 96, [ =( ifeq( product( Z, Y, T ), true, ifeq( product( U, Y, W )
% 4.64/5.01 , true, ifeq( sum( U, Z, X ), true, sum( W, T, multiply( X, Y ) ), true )
% 4.64/5.01 , true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, W ), :=( Y, Y ), :=( Z, X ), :=( T, Z ),
% 4.64/5.01 :=( U, T ), :=( W, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7416, [ =( true, ifeq( true, true, ifeq( product( Y,
% 4.64/5.01 'multiplicative_identity', Z ), true, ifeq( sum( Y, X, T ), true, sum( Z
% 4.64/5.01 , X, multiply( T, 'multiplicative_identity' ) ), true ), true ), true ) )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 9, [ =( product( X, 'multiplicative_identity', X ), true ) ] )
% 4.64/5.01 , 0, clause( 7413, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 4.64/5.01 T, Y, U ), true, ifeq( sum( T, X, W ), true, sum( U, Z, multiply( W, Y )
% 4.64/5.01 ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, 'multiplicative_identity' ), :=( Z, X ), :=( T, Y ), :=( U, Z ),
% 4.64/5.01 :=( W, T )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7421, [ =( true, ifeq( product( X, 'multiplicative_identity', Y ),
% 4.64/5.01 true, ifeq( sum( X, Z, T ), true, sum( Y, Z, multiply( T,
% 4.64/5.01 'multiplicative_identity' ) ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7416, [ =( true, ifeq( true, true, ifeq( product( Y,
% 4.64/5.01 'multiplicative_identity', Z ), true, ifeq( sum( Y, X, T ), true, sum( Z
% 4.64/5.01 , X, multiply( T, 'multiplicative_identity' ) ), true ), true ), true ) )
% 4.64/5.01 ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( product( X,
% 4.64/5.01 'multiplicative_identity', Y ), true, ifeq( sum( X, Z, T ), true, sum( Y
% 4.64/5.01 , Z, multiply( T, 'multiplicative_identity' ) ), true ), true ) ), :=( Z
% 4.64/5.01 , true )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T
% 4.64/5.01 , T )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7422, [ =( true, ifeq( product( X, 'multiplicative_identity', Y ),
% 4.64/5.01 true, ifeq( sum( X, Z, T ), true, sum( Y, Z, T ), true ), true ) ) ] )
% 4.64/5.01 , clause( 39, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 4.64/5.01 , 0, clause( 7421, [ =( true, ifeq( product( X, 'multiplicative_identity',
% 4.64/5.01 Y ), true, ifeq( sum( X, Z, T ), true, sum( Y, Z, multiply( T,
% 4.64/5.01 'multiplicative_identity' ) ), true ), true ) ) ] )
% 4.64/5.01 , 0, 17, substitution( 0, [ :=( X, T )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7423, [ =( ifeq( product( X, 'multiplicative_identity', Y ), true,
% 4.64/5.01 ifeq( sum( X, Z, T ), true, sum( Y, Z, T ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7422, [ =( true, ifeq( product( X, 'multiplicative_identity', Y )
% 4.64/5.01 , true, ifeq( sum( X, Z, T ), true, sum( Y, Z, T ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 663, [ =( ifeq( product( Y, 'multiplicative_identity', Z ), true,
% 4.64/5.01 ifeq( sum( Y, X, T ), true, sum( Z, X, T ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7423, [ =( ifeq( product( X, 'multiplicative_identity', Y ), true
% 4.64/5.01 , ifeq( sum( X, Z, T ), true, sum( Y, Z, T ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7425, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product( T,
% 4.64/5.01 Y, U ), true, ifeq( sum( T, 'multiplicative_identity', X ), true, sum( U
% 4.64/5.01 , Y, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 116, [ =( ifeq( product( Y, X, Z ), true, ifeq( product( T, X, U
% 4.64/5.01 ), true, ifeq( sum( T, 'multiplicative_identity', Y ), true, sum( U, X,
% 4.64/5.01 Z ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7428, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true, true,
% 4.64/5.01 ifeq( sum( 'multiplicative_identity', 'multiplicative_identity', X ),
% 4.64/5.01 true, sum( Y, Y, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 8, [ =( product( 'multiplicative_identity', X, X ), true ) ] )
% 4.64/5.01 , 0, clause( 7425, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( product(
% 4.64/5.01 T, Y, U ), true, ifeq( sum( T, 'multiplicative_identity', X ), true, sum(
% 4.64/5.01 U, Y, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y ), :=( Z, Z ), :=( T, 'multiplicative_identity' ), :=( U, Y )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7429, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', X ), true, sum( Y,
% 4.64/5.01 Y, Z ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7428, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( true,
% 4.64/5.01 true, ifeq( sum( 'multiplicative_identity', 'multiplicative_identity', X
% 4.64/5.01 ), true, sum( Y, Y, Z ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', X ), true, sum( Y,
% 4.64/5.01 Y, Z ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y
% 4.64/5.01 , Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7430, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', X ), true, sum( Y,
% 4.64/5.01 Y, Z ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7429, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', X ), true, sum( Y,
% 4.64/5.01 Y, Z ), true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 761, [ =( ifeq( product( Y, X, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ), true ) ] )
% 4.64/5.01 , clause( 7430, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', X ), true, sum( Y,
% 4.64/5.01 Y, Z ), true ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7432, [ =( true, ifeq( product( X, 'multiplicative_identity', Y ),
% 4.64/5.01 true, ifeq( sum( X, Z, T ), true, sum( Y, Z, T ), true ), true ) ) ] )
% 4.64/5.01 , clause( 663, [ =( ifeq( product( Y, 'multiplicative_identity', Z ), true
% 4.64/5.01 , ifeq( sum( Y, X, T ), true, sum( Z, X, T ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7434, [ =( true, ifeq( product( X, 'multiplicative_identity', Y ),
% 4.64/5.01 true, ifeq( true, true, sum( Y, Z, add( Z, X ) ), true ), true ) ) ] )
% 4.64/5.01 , clause( 26, [ =( sum( Y, X, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7432, [ =( true, ifeq( product( X, 'multiplicative_identity',
% 4.64/5.01 Y ), true, ifeq( sum( X, Z, T ), true, sum( Y, Z, T ), true ), true ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, add( Z, X ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7436, [ =( true, ifeq( product( X, 'multiplicative_identity', Y ),
% 4.64/5.01 true, sum( Y, Z, add( Z, X ) ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7434, [ =( true, ifeq( product( X, 'multiplicative_identity',
% 4.64/5.01 Y ), true, ifeq( true, true, sum( Y, Z, add( Z, X ) ), true ), true ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, 8, substitution( 0, [ :=( X, true ), :=( Y, sum( Y, Z, add( Z, X ) ) )
% 4.64/5.01 , :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7437, [ =( ifeq( product( X, 'multiplicative_identity', Y ), true,
% 4.64/5.01 sum( Y, Z, add( Z, X ) ), true ), true ) ] )
% 4.64/5.01 , clause( 7436, [ =( true, ifeq( product( X, 'multiplicative_identity', Y )
% 4.64/5.01 , true, sum( Y, Z, add( Z, X ) ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 842, [ =( ifeq( product( X, 'multiplicative_identity', Z ), true,
% 4.64/5.01 sum( Z, Y, add( Y, X ) ), true ), true ) ] )
% 4.64/5.01 , clause( 7437, [ =( ifeq( product( X, 'multiplicative_identity', Y ), true
% 4.64/5.01 , sum( Y, Z, add( Z, X ) ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7439, [ =( true, ifeq( product( X, 'multiplicative_identity', Y ),
% 4.64/5.01 true, sum( Y, Z, add( Z, X ) ), true ) ) ] )
% 4.64/5.01 , clause( 842, [ =( ifeq( product( X, 'multiplicative_identity', Z ), true
% 4.64/5.01 , sum( Z, Y, add( Y, X ) ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7441, [ =( true, ifeq( true, true, sum( add( Y, X ), Z, add( Z, add(
% 4.64/5.01 X, Y ) ) ), true ) ) ] )
% 4.64/5.01 , clause( 623, [ =( product( add( X, Y ), 'multiplicative_identity', add( Y
% 4.64/5.01 , X ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7439, [ =( true, ifeq( product( X, 'multiplicative_identity',
% 4.64/5.01 Y ), true, sum( Y, Z, add( Z, X ) ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.64/5.01 :=( X, add( X, Y ) ), :=( Y, add( Y, X ) ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7442, [ =( true, sum( add( X, Y ), Z, add( Z, add( Y, X ) ) ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7441, [ =( true, ifeq( true, true, sum( add( Y, X ), Z, add( Z
% 4.64/5.01 , add( X, Y ) ) ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, sum( add( X, Y ), Z, add(
% 4.64/5.01 Z, add( Y, X ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ),
% 4.64/5.01 :=( Y, X ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7443, [ =( sum( add( X, Y ), Z, add( Z, add( Y, X ) ) ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 7442, [ =( true, sum( add( X, Y ), Z, add( Z, add( Y, X ) ) ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 883, [ =( sum( add( Y, X ), Z, add( Z, add( X, Y ) ) ), true ) ] )
% 4.64/5.01 , clause( 7443, [ =( sum( add( X, Y ), Z, add( Z, add( Y, X ) ) ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7445, [ =( true, ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true )
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 4, [ =( ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ), true ), true
% 4.64/5.01 ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7447, [ =( true, ifeq( true, true, sum( Z, add( X, Y ), add( Z, add(
% 4.64/5.01 Y, X ) ) ), true ) ) ] )
% 4.64/5.01 , clause( 883, [ =( sum( add( Y, X ), Z, add( Z, add( X, Y ) ) ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, clause( 7445, [ =( true, ifeq( sum( X, Y, Z ), true, sum( Y, X, Z ),
% 4.64/5.01 true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 4.64/5.01 substitution( 1, [ :=( X, add( X, Y ) ), :=( Y, Z ), :=( Z, add( Z, add(
% 4.64/5.01 Y, X ) ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7449, [ =( true, sum( X, add( Y, Z ), add( X, add( Z, Y ) ) ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7447, [ =( true, ifeq( true, true, sum( Z, add( X, Y ), add( Z
% 4.64/5.01 , add( Y, X ) ) ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, sum( X, add( Y, Z ), add(
% 4.64/5.01 X, add( Z, Y ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ),
% 4.64/5.01 :=( Y, Z ), :=( Z, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7450, [ =( sum( X, add( Y, Z ), add( X, add( Z, Y ) ) ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 7449, [ =( true, sum( X, add( Y, Z ), add( X, add( Z, Y ) ) ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 902, [ =( sum( Z, add( X, Y ), add( Z, add( Y, X ) ) ), true ) ] )
% 4.64/5.01 , clause( 7450, [ =( sum( X, add( Y, Z ), add( X, add( Z, Y ) ) ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7452, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( T, Y, U
% 4.64/5.01 ), true, ifeq( sum( T, X, W ), true, product( W, U, add( T, Z ) ), true
% 4.64/5.01 ), true ), true ) ) ] )
% 4.64/5.01 , clause( 152, [ =( ifeq( product( Z, T, Y ), true, ifeq( sum( X, T, U ),
% 4.64/5.01 true, ifeq( sum( X, Z, W ), true, product( W, U, add( X, Y ) ), true ),
% 4.64/5.01 true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 4.64/5.01 :=( U, U ), :=( W, W )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7456, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, ifeq( true, true, product( X, T, add(
% 4.64/5.01 'additive_identity', Z ) ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 6, [ =( sum( 'additive_identity', X, X ), true ) ] )
% 4.64/5.01 , 0, clause( 7452, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum( T
% 4.64/5.01 , Y, U ), true, ifeq( sum( T, X, W ), true, product( W, U, add( T, Z ) )
% 4.64/5.01 , true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y ), :=( Z, Z ), :=( T, 'additive_identity' ), :=( U, T ), :=( W,
% 4.64/5.01 X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7457, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, add(
% 4.64/5.01 'additive_identity', Z ) ), true ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7456, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, ifeq( true, true, product( X, T, add(
% 4.64/5.01 'additive_identity', Z ) ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 14, substitution( 0, [ :=( X, true ), :=( Y, product( X, T, add(
% 4.64/5.01 'additive_identity', Z ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X
% 4.64/5.01 , X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7458, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 185, [ =( add( 'additive_identity', X ), X ) ] )
% 4.64/5.01 , 0, clause( 7457, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, add(
% 4.64/5.01 'additive_identity', Z ) ), true ), true ) ) ] )
% 4.64/5.01 , 0, 17, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7459, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7458, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 1076, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7459, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7461, [ =( true, ifeq( product( X, inverse( Y ), Z ), true, ifeq(
% 4.64/5.01 sum( Y, Z, T ), true, ifeq( sum( Y, X, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 156, [ =( ifeq( product( Y, inverse( X ), Z ), true, ifeq( sum( X
% 4.64/5.01 , Z, T ), true, ifeq( sum( X, Y, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ),
% 4.64/5.01 :=( U, U )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7463, [ =( true, ifeq( true, true, ifeq( sum( X,
% 4.64/5.01 'additive_identity', Y ), true, ifeq( sum( X, X, Z ), true, product( Z,
% 4.64/5.01 'multiplicative_identity', Y ), true ), true ), true ) ) ] )
% 4.64/5.01 , clause( 21, [ =( product( X, inverse( X ), 'additive_identity' ), true )
% 4.64/5.01 ] )
% 4.64/5.01 , 0, clause( 7461, [ =( true, ifeq( product( X, inverse( Y ), Z ), true,
% 4.64/5.01 ifeq( sum( Y, Z, T ), true, ifeq( sum( Y, X, U ), true, product( U,
% 4.64/5.01 'multiplicative_identity', T ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, X ), :=( Z, 'additive_identity' ), :=( T, Y ), :=( U, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7464, [ =( true, ifeq( sum( X, 'additive_identity', Y ), true, ifeq(
% 4.64/5.01 sum( X, X, Z ), true, product( Z, 'multiplicative_identity', Y ), true )
% 4.64/5.01 , true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7463, [ =( true, ifeq( true, true, ifeq( sum( X,
% 4.64/5.01 'additive_identity', Y ), true, ifeq( sum( X, X, Z ), true, product( Z,
% 4.64/5.01 'multiplicative_identity', Y ), true ), true ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum( X,
% 4.64/5.01 'additive_identity', Y ), true, ifeq( sum( X, X, Z ), true, product( Z,
% 4.64/5.01 'multiplicative_identity', Y ), true ), true ) ), :=( Z, true )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7465, [ =( ifeq( sum( X, 'additive_identity', Y ), true, ifeq( sum(
% 4.64/5.01 X, X, Z ), true, product( Z, 'multiplicative_identity', Y ), true ), true
% 4.64/5.01 ), true ) ] )
% 4.64/5.01 , clause( 7464, [ =( true, ifeq( sum( X, 'additive_identity', Y ), true,
% 4.64/5.01 ifeq( sum( X, X, Z ), true, product( Z, 'multiplicative_identity', Y ),
% 4.64/5.01 true ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 1192, [ =( ifeq( sum( X, 'additive_identity', Y ), true, ifeq( sum(
% 4.64/5.01 X, X, Z ), true, product( Z, 'multiplicative_identity', Y ), true ), true
% 4.64/5.01 ), true ) ] )
% 4.64/5.01 , clause( 7465, [ =( ifeq( sum( X, 'additive_identity', Y ), true, ifeq(
% 4.64/5.01 sum( X, X, Z ), true, product( Z, 'multiplicative_identity', Y ), true )
% 4.64/5.01 , true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7467, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ) ) ] )
% 4.64/5.01 , clause( 425, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7469, [ =( true, ifeq( product( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), Y ), true, ifeq( true, true, sum( X, X, Y )
% 4.64/5.01 , true ), true ) ) ] )
% 4.64/5.01 , clause( 26, [ =( sum( Y, X, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7467, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ) ) ] )
% 4.64/5.01 , 0, 11, substitution( 0, [ :=( X, 'multiplicative_identity' ), :=( Y,
% 4.64/5.01 'multiplicative_identity' )] ), substitution( 1, [ :=( X, X ), :=( Y, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ) ), :=( Z, Y )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7471, [ =( true, ifeq( product( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), Y ), true, sum( X, X, Y ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7469, [ =( true, ifeq( product( X, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ), Y ), true, ifeq(
% 4.64/5.01 true, true, sum( X, X, Y ), true ), true ) ) ] )
% 4.64/5.01 , 0, 10, substitution( 0, [ :=( X, true ), :=( Y, sum( X, X, Y ) ), :=( Z,
% 4.64/5.01 true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7472, [ =( ifeq( product( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), Y ), true, sum( X, X, Y ), true ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 7471, [ =( true, ifeq( product( X, add( 'multiplicative_identity'
% 4.64/5.01 , 'multiplicative_identity' ), Y ), true, sum( X, X, Y ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 2807, [ =( ifeq( product( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), Y ), true, sum( X, X, Y ), true ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 7472, [ =( ifeq( product( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), Y ), true, sum( X, X, Y ), true ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7474, [ =( true, ifeq( product( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), Y ), true, sum( X, X, Y ), true ) ) ] )
% 4.64/5.01 , clause( 2807, [ =( ifeq( product( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), Y ), true, sum( X, X, Y ), true ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7476, [ =( true, ifeq( true, true, sum( X, X, multiply( X, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ) ) ), true ) ) ] )
% 4.64/5.01 , clause( 3, [ =( product( X, Y, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7474, [ =( true, ifeq( product( X, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ), Y ), true, sum( X
% 4.64/5.01 , X, Y ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ) )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, multiply( X, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ) ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7477, [ =( true, sum( X, X, multiply( X, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ) ) ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7476, [ =( true, ifeq( true, true, sum( X, X, multiply( X, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ) ) ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, sum( X, X, multiply( X,
% 4.64/5.01 add( 'multiplicative_identity', 'multiplicative_identity' ) ) ) ), :=( Z
% 4.64/5.01 , true )] ), substitution( 1, [ :=( X, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7478, [ =( sum( X, X, multiply( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ) ) ), true ) ] )
% 4.64/5.01 , clause( 7477, [ =( true, sum( X, X, multiply( X, add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ) ) ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 2832, [ =( sum( X, X, multiply( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ) ) ), true ) ] )
% 4.64/5.01 , clause( 7478, [ =( sum( X, X, multiply( X, add( 'multiplicative_identity'
% 4.64/5.01 , 'multiplicative_identity' ) ) ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7480, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', X ), true, sum( Y,
% 4.64/5.01 Y, Z ), true ), true ) ) ] )
% 4.64/5.01 , clause( 761, [ =( ifeq( product( Y, X, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.01 X, Z ), true ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7483, [ =( true, ifeq( product( multiply( 'multiplicative_identity'
% 4.64/5.01 , add( 'multiplicative_identity', 'multiplicative_identity' ) ), X, Y ),
% 4.64/5.01 true, ifeq( true, true, sum( X, X, Y ), true ), true ) ) ] )
% 4.64/5.01 , clause( 2832, [ =( sum( X, X, multiply( X, add( 'multiplicative_identity'
% 4.64/5.01 , 'multiplicative_identity' ) ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7480, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity', X ), true, sum( Y,
% 4.64/5.01 Y, Z ), true ), true ) ) ] )
% 4.64/5.01 , 0, 13, substitution( 0, [ :=( X, 'multiplicative_identity' )] ),
% 4.64/5.01 substitution( 1, [ :=( X, multiply( 'multiplicative_identity', add(
% 4.64/5.01 'multiplicative_identity', 'multiplicative_identity' ) ) ), :=( Y, X ),
% 4.64/5.01 :=( Z, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7485, [ =( true, ifeq( product( add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), X, Y ), true, ifeq( true, true, sum( X, X, Y
% 4.64/5.01 ), true ), true ) ) ] )
% 4.64/5.01 , clause( 40, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 4.64/5.01 , 0, clause( 7483, [ =( true, ifeq( product( multiply(
% 4.64/5.01 'multiplicative_identity', add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ) ), X, Y ), true, ifeq( true, true, sum( X, X
% 4.64/5.01 , Y ), true ), true ) ) ] )
% 4.64/5.01 , 0, 4, substitution( 0, [ :=( X, add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 4.64/5.01 )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7486, [ =( true, ifeq( product( add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7485, [ =( true, ifeq( product( add( 'multiplicative_identity'
% 4.64/5.01 , 'multiplicative_identity' ), X, Y ), true, ifeq( true, true, sum( X, X
% 4.64/5.01 , Y ), true ), true ) ) ] )
% 4.64/5.01 , 0, 10, substitution( 0, [ :=( X, true ), :=( Y, sum( X, X, Y ) ), :=( Z,
% 4.64/5.01 true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7487, [ =( ifeq( product( add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ), true )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 7486, [ =( true, ifeq( product( add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 5242, [ =( ifeq( product( add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ), true )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 7487, [ =( ifeq( product( add( 'multiplicative_identity',
% 4.64/5.01 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ), true )
% 4.64/5.01 ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7489, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , clause( 1076, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7491, [ =( true, ifeq( true, true, ifeq( sum( 'additive_identity',
% 4.64/5.01 Y, Z ), true, product( X, Z, multiply( Y, X ) ), true ), true ) ) ] )
% 4.64/5.01 , clause( 25, [ =( product( Y, X, multiply( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7489, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, T ), true, product( X, T, Z ), true ), true ) ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, Y ), :=( Z, multiply( Y, X ) ), :=( T, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7493, [ =( true, ifeq( sum( 'additive_identity', X, Y ), true,
% 4.64/5.01 product( Z, Y, multiply( X, Z ) ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7491, [ =( true, ifeq( true, true, ifeq( sum(
% 4.64/5.01 'additive_identity', Y, Z ), true, product( X, Z, multiply( Y, X ) ),
% 4.64/5.01 true ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum(
% 4.64/5.01 'additive_identity', X, Y ), true, product( Z, Y, multiply( X, Z ) ),
% 4.64/5.01 true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ),
% 4.64/5.01 :=( Z, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7494, [ =( ifeq( sum( 'additive_identity', X, Y ), true, product( Z
% 4.64/5.01 , Y, multiply( X, Z ) ), true ), true ) ] )
% 4.64/5.01 , clause( 7493, [ =( true, ifeq( sum( 'additive_identity', X, Y ), true,
% 4.64/5.01 product( Z, Y, multiply( X, Z ) ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 5569, [ =( ifeq( sum( 'additive_identity', Y, Z ), true, product( X
% 4.64/5.01 , Z, multiply( Y, X ) ), true ), true ) ] )
% 4.64/5.01 , clause( 7494, [ =( ifeq( sum( 'additive_identity', X, Y ), true, product(
% 4.64/5.01 Z, Y, multiply( X, Z ) ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7496, [ =( true, ifeq( sum( 'additive_identity', X, Y ), true,
% 4.64/5.01 product( Z, Y, multiply( X, Z ) ), true ) ) ] )
% 4.64/5.01 , clause( 5569, [ =( ifeq( sum( 'additive_identity', Y, Z ), true, product(
% 4.64/5.01 X, Z, multiply( Y, X ) ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7499, [ =( true, ifeq( true, true, product( Z, add(
% 4.64/5.01 'additive_identity', add( Y, X ) ), multiply( add( X, Y ), Z ) ), true )
% 4.64/5.01 ) ] )
% 4.64/5.01 , clause( 902, [ =( sum( Z, add( X, Y ), add( Z, add( Y, X ) ) ), true ) ]
% 4.64/5.01 )
% 4.64/5.01 , 0, clause( 7496, [ =( true, ifeq( sum( 'additive_identity', X, Y ), true
% 4.64/5.01 , product( Z, Y, multiply( X, Z ) ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 4.64/5.01 'additive_identity' )] ), substitution( 1, [ :=( X, add( X, Y ) ), :=( Y
% 4.64/5.01 , add( 'additive_identity', add( Y, X ) ) ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7500, [ =( true, product( X, add( 'additive_identity', add( Y, Z )
% 4.64/5.01 ), multiply( add( Z, Y ), X ) ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7499, [ =( true, ifeq( true, true, product( Z, add(
% 4.64/5.01 'additive_identity', add( Y, X ) ), multiply( add( X, Y ), Z ) ), true )
% 4.64/5.01 ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( X, add(
% 4.64/5.01 'additive_identity', add( Y, Z ) ), multiply( add( Z, Y ), X ) ) ), :=( Z
% 4.64/5.01 , true )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7501, [ =( true, product( X, add( Y, Z ), multiply( add( Z, Y ), X
% 4.64/5.01 ) ) ) ] )
% 4.64/5.01 , clause( 185, [ =( add( 'additive_identity', X ), X ) ] )
% 4.64/5.01 , 0, clause( 7500, [ =( true, product( X, add( 'additive_identity', add( Y
% 4.64/5.01 , Z ) ), multiply( add( Z, Y ), X ) ) ) ] )
% 4.64/5.01 , 0, 4, substitution( 0, [ :=( X, add( Y, Z ) )] ), substitution( 1, [ :=(
% 4.64/5.01 X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7502, [ =( product( X, add( Y, Z ), multiply( add( Z, Y ), X ) ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7501, [ =( true, product( X, add( Y, Z ), multiply( add( Z, Y ),
% 4.64/5.01 X ) ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 6268, [ =( product( Z, add( Y, X ), multiply( add( X, Y ), Z ) ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7502, [ =( product( X, add( Y, Z ), multiply( add( Z, Y ), X ) )
% 4.64/5.01 , true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7504, [ =( multiply( X, Y ), ifeq2( product( X, Y, Z ), true, Z,
% 4.64/5.01 multiply( X, Y ) ) ) ] )
% 4.64/5.01 , clause( 29, [ =( ifeq2( product( X, Y, Z ), true, Z, multiply( X, Y ) ),
% 4.64/5.01 multiply( X, Y ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7506, [ =( multiply( X, add( Y, Z ) ), ifeq2( true, true, multiply(
% 4.64/5.01 add( Z, Y ), X ), multiply( X, add( Y, Z ) ) ) ) ] )
% 4.64/5.01 , clause( 6268, [ =( product( Z, add( Y, X ), multiply( add( X, Y ), Z ) )
% 4.64/5.01 , true ) ] )
% 4.64/5.01 , 0, clause( 7504, [ =( multiply( X, Y ), ifeq2( product( X, Y, Z ), true,
% 4.64/5.01 Z, multiply( X, Y ) ) ) ] )
% 4.64/5.01 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, add( Y, Z ) ), :=( Z, multiply( add(
% 4.64/5.01 Z, Y ), X ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7507, [ =( multiply( X, add( Y, Z ) ), multiply( add( Z, Y ), X ) )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7506, [ =( multiply( X, add( Y, Z ) ), ifeq2( true, true,
% 4.64/5.01 multiply( add( Z, Y ), X ), multiply( X, add( Y, Z ) ) ) ) ] )
% 4.64/5.01 , 0, 6, substitution( 0, [ :=( X, true ), :=( Y, multiply( add( Z, Y ), X )
% 4.64/5.01 ), :=( Z, multiply( X, add( Y, Z ) ) )] ), substitution( 1, [ :=( X, X )
% 4.64/5.01 , :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7508, [ =( multiply( add( Z, Y ), X ), multiply( X, add( Y, Z ) ) )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 7507, [ =( multiply( X, add( Y, Z ) ), multiply( add( Z, Y ), X )
% 4.64/5.01 ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 6295, [ =( multiply( add( Z, Y ), X ), multiply( X, add( Y, Z ) ) )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 7508, [ =( multiply( add( Z, Y ), X ), multiply( X, add( Y, Z ) )
% 4.64/5.01 ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7509, [ =( multiply( Z, add( Y, X ) ), multiply( add( X, Y ), Z ) )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 6295, [ =( multiply( add( Z, Y ), X ), multiply( X, add( Y, Z ) )
% 4.64/5.01 ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7510, [ =( Z, ifeq2( product( X, Y, Z ), true, multiply( Y, X ), Z
% 4.64/5.01 ) ) ] )
% 4.64/5.01 , clause( 28, [ =( ifeq2( product( X, Y, Z ), true, multiply( Y, X ), Z ),
% 4.64/5.01 Z ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7511, [ =( X, ifeq2( product( add( Y, Z ), T, X ), true, multiply(
% 4.64/5.01 add( Z, Y ), T ), X ) ) ] )
% 4.64/5.01 , clause( 7509, [ =( multiply( Z, add( Y, X ) ), multiply( add( X, Y ), Z )
% 4.64/5.01 ) ] )
% 4.64/5.01 , 0, clause( 7510, [ =( Z, ifeq2( product( X, Y, Z ), true, multiply( Y, X
% 4.64/5.01 ), Z ) ) ] )
% 4.64/5.01 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T )] ),
% 4.64/5.01 substitution( 1, [ :=( X, add( Y, Z ) ), :=( Y, T ), :=( Z, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7512, [ =( ifeq2( product( add( Y, Z ), T, X ), true, multiply( add(
% 4.64/5.01 Z, Y ), T ), X ), X ) ] )
% 4.64/5.01 , clause( 7511, [ =( X, ifeq2( product( add( Y, Z ), T, X ), true, multiply(
% 4.64/5.01 add( Z, Y ), T ), X ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 6373, [ =( ifeq2( product( add( Y, Z ), X, T ), true, multiply( add(
% 4.64/5.01 Z, Y ), X ), T ), T ) ] )
% 4.64/5.01 , clause( 7512, [ =( ifeq2( product( add( Y, Z ), T, X ), true, multiply(
% 4.64/5.01 add( Z, Y ), T ), X ), X ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 4.64/5.01 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7514, [ =( true, ifeq( sum( X, 'additive_identity', Y ), true, ifeq(
% 4.64/5.01 sum( X, X, Z ), true, product( Z, 'multiplicative_identity', Y ), true )
% 4.64/5.01 , true ) ) ] )
% 4.64/5.01 , clause( 1192, [ =( ifeq( sum( X, 'additive_identity', Y ), true, ifeq(
% 4.64/5.01 sum( X, X, Z ), true, product( Z, 'multiplicative_identity', Y ), true )
% 4.64/5.01 , true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7517, [ =( true, ifeq( true, true, ifeq( sum( X, X, Y ), true,
% 4.64/5.01 product( Y, 'multiplicative_identity', add( 'additive_identity', X ) ),
% 4.64/5.01 true ), true ) ) ] )
% 4.64/5.01 , clause( 26, [ =( sum( Y, X, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7514, [ =( true, ifeq( sum( X, 'additive_identity', Y ), true
% 4.64/5.01 , ifeq( sum( X, X, Z ), true, product( Z, 'multiplicative_identity', Y )
% 4.64/5.01 , true ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X )] ),
% 4.64/5.01 substitution( 1, [ :=( X, X ), :=( Y, add( 'additive_identity', X ) ),
% 4.64/5.01 :=( Z, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7520, [ =( true, ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', add( 'additive_identity', X ) ), true ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7517, [ =( true, ifeq( true, true, ifeq( sum( X, X, Y ), true
% 4.64/5.01 , product( Y, 'multiplicative_identity', add( 'additive_identity', X ) )
% 4.64/5.01 , true ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum( X, X, Y ), true
% 4.64/5.01 , product( Y, 'multiplicative_identity', add( 'additive_identity', X ) )
% 4.64/5.01 , true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7521, [ =( true, ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ) ) ] )
% 4.64/5.01 , clause( 185, [ =( add( 'additive_identity', X ), X ) ] )
% 4.64/5.01 , 0, clause( 7520, [ =( true, ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', add( 'additive_identity', X ) ), true ) ) ] )
% 4.64/5.01 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7522, [ =( ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ), true ) ] )
% 4.64/5.01 , clause( 7521, [ =( true, ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 6921, [ =( ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ), true ) ] )
% 4.64/5.01 , clause( 7522, [ =( ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ), true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.64/5.01 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7524, [ =( true, ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ) ) ] )
% 4.64/5.01 , clause( 6921, [ =( ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ), true ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7526, [ =( true, ifeq( true, true, product( add( X, X ),
% 4.64/5.01 'multiplicative_identity', X ), true ) ) ] )
% 4.64/5.01 , clause( 26, [ =( sum( Y, X, add( X, Y ) ), true ) ] )
% 4.64/5.01 , 0, clause( 7524, [ =( true, ifeq( sum( X, X, Y ), true, product( Y,
% 4.64/5.01 'multiplicative_identity', X ), true ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 4.64/5.01 :=( X, X ), :=( Y, add( X, X ) )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7527, [ =( true, product( add( X, X ), 'multiplicative_identity', X
% 4.64/5.01 ) ) ] )
% 4.64/5.01 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7526, [ =( true, ifeq( true, true, product( add( X, X ),
% 4.64/5.01 'multiplicative_identity', X ), true ) ) ] )
% 4.64/5.01 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, product( add( X, X ),
% 4.64/5.01 'multiplicative_identity', X ) ), :=( Z, true )] ), substitution( 1, [
% 4.64/5.01 :=( X, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7528, [ =( product( add( X, X ), 'multiplicative_identity', X ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7527, [ =( true, product( add( X, X ), 'multiplicative_identity'
% 4.64/5.01 , X ) ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 subsumption(
% 4.64/5.01 clause( 6943, [ =( product( add( X, X ), 'multiplicative_identity', X ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , clause( 7528, [ =( product( add( X, X ), 'multiplicative_identity', X ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 eqswap(
% 4.64/5.01 clause( 7530, [ =( T, ifeq2( product( add( X, Y ), Z, T ), true, multiply(
% 4.64/5.01 add( Y, X ), Z ), T ) ) ] )
% 4.64/5.01 , clause( 6373, [ =( ifeq2( product( add( Y, Z ), X, T ), true, multiply(
% 4.64/5.01 add( Z, Y ), X ), T ), T ) ] )
% 4.64/5.01 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 4.64/5.01 ).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7533, [ =( X, ifeq2( true, true, multiply( add( X, X ),
% 4.64/5.01 'multiplicative_identity' ), X ) ) ] )
% 4.64/5.01 , clause( 6943, [ =( product( add( X, X ), 'multiplicative_identity', X ),
% 4.64/5.01 true ) ] )
% 4.64/5.01 , 0, clause( 7530, [ =( T, ifeq2( product( add( X, Y ), Z, T ), true,
% 4.64/5.01 multiply( add( Y, X ), Z ), T ) ) ] )
% 4.64/5.01 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.64/5.01 :=( Y, X ), :=( Z, 'multiplicative_identity' ), :=( T, X )] )).
% 4.64/5.01
% 4.64/5.01
% 4.64/5.01 paramod(
% 4.64/5.01 clause( 7534, [ =( X, multiply( add( X, X ), 'multiplicative_identity' ) )
% 4.64/5.01 ] )
% 4.64/5.01 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 4.64/5.01 , 0, clause( 7533, [ =( X, ifeq2( true, true, multiply( add( X, X ),
% 4.64/5.02 'multiplicative_identity' ), X ) ) ] )
% 4.64/5.02 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, multiply( add( X, X ),
% 4.64/5.02 'multiplicative_identity' ) ), :=( Z, X )] ), substitution( 1, [ :=( X, X
% 4.64/5.02 )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7535, [ =( X, add( X, X ) ) ] )
% 4.64/5.02 , clause( 39, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 4.64/5.02 , 0, clause( 7534, [ =( X, multiply( add( X, X ), 'multiplicative_identity'
% 4.64/5.02 ) ) ] )
% 4.64/5.02 , 0, 2, substitution( 0, [ :=( X, add( X, X ) )] ), substitution( 1, [ :=(
% 4.64/5.02 X, X )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 eqswap(
% 4.64/5.02 clause( 7536, [ =( add( X, X ), X ) ] )
% 4.64/5.02 , clause( 7535, [ =( X, add( X, X ) ) ] )
% 4.64/5.02 , 0, substitution( 0, [ :=( X, X )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 subsumption(
% 4.64/5.02 clause( 6944, [ =( add( X, X ), X ) ] )
% 4.64/5.02 , clause( 7536, [ =( add( X, X ), X ) ] )
% 4.64/5.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 eqswap(
% 4.64/5.02 clause( 7538, [ =( true, ifeq( product( add( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ) ) ] )
% 4.64/5.02 , clause( 5242, [ =( ifeq( product( add( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ), true )
% 4.64/5.02 ] )
% 4.64/5.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7540, [ =( true, ifeq( true, true, sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ), true ) ) ] )
% 4.64/5.02 , clause( 6943, [ =( product( add( X, X ), 'multiplicative_identity', X ),
% 4.64/5.02 true ) ] )
% 4.64/5.02 , 0, clause( 7538, [ =( true, ifeq( product( add( 'multiplicative_identity'
% 4.64/5.02 , 'multiplicative_identity' ), X, Y ), true, sum( X, X, Y ), true ) ) ]
% 4.64/5.02 )
% 4.64/5.02 , 0, 3, substitution( 0, [ :=( X, 'multiplicative_identity' )] ),
% 4.64/5.02 substitution( 1, [ :=( X, 'multiplicative_identity' ), :=( Y,
% 4.64/5.02 'multiplicative_identity' )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7541, [ =( true, sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ) ) ] )
% 4.64/5.02 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.02 , 0, clause( 7540, [ =( true, ifeq( true, true, sum(
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity' ), true ) ) ] )
% 4.64/5.02 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, sum(
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity' ) ), :=( Z, true )] ), substitution( 1, [] )
% 4.64/5.02 ).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 eqswap(
% 4.64/5.02 clause( 7542, [ =( sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ), true ) ] )
% 4.64/5.02 , clause( 7541, [ =( true, sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ) ) ] )
% 4.64/5.02 , 0, substitution( 0, [] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 subsumption(
% 4.64/5.02 clause( 6947, [ =( sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ), true ) ] )
% 4.64/5.02 , clause( 7542, [ =( sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ), true ) ] )
% 4.64/5.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 eqswap(
% 4.64/5.02 clause( 7544, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.02 X, Z ), true ), true ) ) ] )
% 4.64/5.02 , clause( 425, [ =( ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.02 X, Z ), true ), true ), true ) ] )
% 4.64/5.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7549, [ =( true, ifeq( true, true, ifeq( sum(
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity' ), true, sum( add( X, X ), add( X, X ), X ),
% 4.64/5.02 true ), true ) ) ] )
% 4.64/5.02 , clause( 6943, [ =( product( add( X, X ), 'multiplicative_identity', X ),
% 4.64/5.02 true ) ] )
% 4.64/5.02 , 0, clause( 7544, [ =( true, ifeq( product( X, Y, Z ), true, ifeq( sum(
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity', Y ), true, sum( X,
% 4.64/5.02 X, Z ), true ), true ) ) ] )
% 4.64/5.02 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, add( X
% 4.64/5.02 , X ) ), :=( Y, 'multiplicative_identity' ), :=( Z, X )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7550, [ =( true, ifeq( sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ), true, sum( add( X
% 4.64/5.02 , X ), add( X, X ), X ), true ) ) ] )
% 4.64/5.02 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.02 , 0, clause( 7549, [ =( true, ifeq( true, true, ifeq( sum(
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity' ), true, sum( add( X, X ), add( X, X ), X ),
% 4.64/5.02 true ), true ) ) ] )
% 4.64/5.02 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( sum(
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity' ), true, sum( add( X, X ), add( X, X ), X ),
% 4.64/5.02 true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7551, [ =( true, ifeq( true, true, sum( add( X, X ), add( X, X ), X
% 4.64/5.02 ), true ) ) ] )
% 4.64/5.02 , clause( 6947, [ =( sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ), true ) ] )
% 4.64/5.02 , 0, clause( 7550, [ =( true, ifeq( sum( 'multiplicative_identity',
% 4.64/5.02 'multiplicative_identity', 'multiplicative_identity' ), true, sum( add( X
% 4.64/5.02 , X ), add( X, X ), X ), true ) ) ] )
% 4.64/5.02 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7552, [ =( true, sum( add( X, X ), add( X, X ), X ) ) ] )
% 4.64/5.02 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 4.64/5.02 , 0, clause( 7551, [ =( true, ifeq( true, true, sum( add( X, X ), add( X, X
% 4.64/5.02 ), X ), true ) ) ] )
% 4.64/5.02 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, sum( add( X, X ), add( X,
% 4.64/5.02 X ), X ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7554, [ =( true, sum( add( X, X ), X, X ) ) ] )
% 4.64/5.02 , clause( 6944, [ =( add( X, X ), X ) ] )
% 4.64/5.02 , 0, clause( 7552, [ =( true, sum( add( X, X ), add( X, X ), X ) ) ] )
% 4.64/5.02 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 4.64/5.02 ).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 paramod(
% 4.64/5.02 clause( 7555, [ =( true, sum( X, X, X ) ) ] )
% 4.64/5.02 , clause( 6944, [ =( add( X, X ), X ) ] )
% 4.64/5.02 , 0, clause( 7554, [ =( true, sum( add( X, X ), X, X ) ) ] )
% 4.64/5.02 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 4.64/5.02 ).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 eqswap(
% 4.64/5.02 clause( 7557, [ =( sum( X, X, X ), true ) ] )
% 4.64/5.02 , clause( 7555, [ =( true, sum( X, X, X ) ) ] )
% 4.64/5.02 , 0, substitution( 0, [ :=( X, X )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 subsumption(
% 4.64/5.02 clause( 6948, [ =( sum( X, X, X ), true ) ] )
% 4.64/5.02 , clause( 7557, [ =( sum( X, X, X ), true ) ] )
% 4.64/5.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 eqswap(
% 4.64/5.02 clause( 7559, [ =( true, sum( X, X, X ) ) ] )
% 4.64/5.02 , clause( 6948, [ =( sum( X, X, X ), true ) ] )
% 4.64/5.02 , 0, substitution( 0, [ :=( X, X )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 eqswap(
% 4.64/5.02 clause( 7560, [ ~( =( true, sum( x, x, x ) ) ) ] )
% 4.64/5.02 , clause( 24, [ ~( =( sum( x, x, x ), true ) ) ] )
% 4.64/5.02 , 0, substitution( 0, [] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 resolution(
% 4.64/5.02 clause( 7561, [] )
% 4.64/5.02 , clause( 7560, [ ~( =( true, sum( x, x, x ) ) ) ] )
% 4.64/5.02 , 0, clause( 7559, [ =( true, sum( X, X, X ) ) ] )
% 4.64/5.02 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 subsumption(
% 4.64/5.02 clause( 7005, [] )
% 4.64/5.02 , clause( 7561, [] )
% 4.64/5.02 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 end.
% 4.64/5.02
% 4.64/5.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.64/5.02
% 4.64/5.02 Memory use:
% 4.64/5.02
% 4.64/5.02 space for terms: 128729
% 4.64/5.02 space for clauses: 973025
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 clauses generated: 908188
% 4.64/5.02 clauses kept: 7006
% 4.64/5.02 clauses selected: 1906
% 4.64/5.02 clauses deleted: 1172
% 4.64/5.02 clauses inuse deleted: 613
% 4.64/5.02
% 4.64/5.02 subsentry: 38815
% 4.64/5.02 literals s-matched: 37763
% 4.64/5.02 literals matched: 37761
% 4.64/5.02 full subsumption: 0
% 4.64/5.02
% 4.64/5.02 checksum: 1187695238
% 4.64/5.02
% 4.64/5.02
% 4.64/5.02 Bliksem ended
%------------------------------------------------------------------------------