TSTP Solution File: RNG039-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : Mon Jul 18 20:16:10 EDT 2022
% Result : Unsatisfiable 0.84s 1.20s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon May 30 11:16:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.84/1.20 *** allocated 10000 integers for termspace/termends
% 0.84/1.20 *** allocated 10000 integers for clauses
% 0.84/1.20 *** allocated 10000 integers for justifications
% 0.84/1.20 Bliksem 1.12
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Automatic Strategy Selection
% 0.84/1.20
% 0.84/1.20 Clauses:
% 0.84/1.20 [
% 0.84/1.20 [ sum( 'additive_identity', X, X ) ],
% 0.84/1.20 [ sum( X, 'additive_identity', X ) ],
% 0.84/1.20 [ product( X, Y, multiply( X, Y ) ) ],
% 0.84/1.20 [ sum( X, Y, add( X, Y ) ) ],
% 0.84/1.20 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 0.84/1.20 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 0.84/1.20 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 0.84/1.20 , U, W ) ],
% 0.84/1.20 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 0.84/1.20 , T, W ) ],
% 0.84/1.20 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.84/1.20 ) ), product( X, U, W ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.84/1.20 ) ), product( Z, T, W ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.84/1.20 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.84/1.20 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.84/1.20 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.84/1.20 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 0.84/1.20 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.84/1.20 [ sum( X, add( X, Y ), Y ) ],
% 0.84/1.20 [ sum( add( X, Y ), Y, X ) ],
% 0.84/1.20 [ sum( X, X, 'additive_identity' ) ],
% 0.84/1.20 [ =( add( X, 'additive_identity' ), X ) ],
% 0.84/1.20 [ =( add( X, X ), 'additive_identity' ) ],
% 0.84/1.20 [ =( multiply( X, X ), X ) ],
% 0.84/1.20 [ =( multiply( a, b ), c ) ],
% 0.84/1.20 [ =( multiply( b, a ), d ) ],
% 0.84/1.20 [ sum( X, Y, add( Y, X ) ) ],
% 0.84/1.20 [ product( a, c, c ) ],
% 0.84/1.20 [ product( b, d, d ) ],
% 0.84/1.20 [ product( c, b, c ) ],
% 0.84/1.20 [ product( d, a, d ) ],
% 0.84/1.20 [ product( X, multiply( X, Y ), multiply( X, Y ) ) ],
% 0.84/1.20 [ product( a, multiply( b, X ), multiply( Y, X ) ) ],
% 0.84/1.20 [ product( a, b, multiply( c, b ) ) ],
% 0.84/1.20 [ product( a, multiply( b, c ), c ) ],
% 0.84/1.20 [ product( b, multiply( a, X ), multiply( d, X ) ) ],
% 0.84/1.20 [ product( b, a, multiply( d, a ) ) ],
% 0.84/1.20 [ product( b, multiply( a, d ), d ) ],
% 0.84/1.20 [ product( b, c, multiply( d, b ) ) ],
% 0.84/1.20 [ product( a, d, multiply( c, a ) ) ],
% 0.84/1.20 [ product( multiply( X, Y ), Y, multiply( X, Y ) ) ],
% 0.84/1.20 [ product( multiply( X, a ), b, multiply( X, c ) ) ],
% 0.84/1.20 [ product( a, b, multiply( a, c ) ) ],
% 0.84/1.20 [ product( multiply( c, a ), b, c ) ],
% 0.84/1.20 [ product( d, b, multiply( b, c ) ) ],
% 0.84/1.20 [ product( multiply( X, b ), a, multiply( X, d ) ) ],
% 0.84/1.20 [ product( b, a, multiply( b, d ) ) ],
% 0.84/1.20 [ product( multiply( d, b ), a, d ) ],
% 0.84/1.20 [ product( c, a, multiply( a, d ) ) ],
% 0.84/1.20 [ product( a, add( b, a ), add( c, a ) ) ],
% 0.84/1.20 [ product( a, add( a, b ), add( a, c ) ) ],
% 0.84/1.20 [ product( b, add( a, b ), add( d, b ) ) ],
% 0.84/1.20 [ product( b, add( b, a ), add( b, d ) ) ],
% 0.84/1.20 [ product( add( a, b ), b, add( c, b ) ) ],
% 0.84/1.20 [ product( add( b, a ), b, add( b, c ) ) ],
% 0.84/1.20 [ product( add( b, a ), a, add( d, a ) ) ],
% 0.84/1.20 [ product( add( a, b ), a, add( a, d ) ) ],
% 0.84/1.20 [ product( X, X, X ) ],
% 0.84/1.20 [ product( a, b, c ) ],
% 0.84/1.20 [ product( b, a, d ) ],
% 0.84/1.20 [ ~( =( c, d ) ) ]
% 0.84/1.20 ] .
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 percentage equality = 0.086022, percentage horn = 1.000000
% 0.84/1.20 This is a problem with some equality
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Options Used:
% 0.84/1.20
% 0.84/1.20 useres = 1
% 0.84/1.20 useparamod = 1
% 0.84/1.20 useeqrefl = 1
% 0.84/1.20 useeqfact = 1
% 0.84/1.20 usefactor = 1
% 0.84/1.20 usesimpsplitting = 0
% 0.84/1.20 usesimpdemod = 5
% 0.84/1.20 usesimpres = 3
% 0.84/1.20
% 0.84/1.20 resimpinuse = 1000
% 0.84/1.20 resimpclauses = 20000
% 0.84/1.20 substype = eqrewr
% 0.84/1.20 backwardsubs = 1
% 0.84/1.20 selectoldest = 5
% 0.84/1.20
% 0.84/1.20 litorderings [0] = split
% 0.84/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.20
% 0.84/1.20 termordering = kbo
% 0.84/1.20
% 0.84/1.20 litapriori = 0
% 0.84/1.20 termapriori = 1
% 0.84/1.20 litaposteriori = 0
% 0.84/1.20 termaposteriori = 0
% 0.84/1.20 demodaposteriori = 0
% 0.84/1.20 ordereqreflfact = 0
% 0.84/1.20
% 0.84/1.20 litselect = negord
% 0.84/1.20
% 0.84/1.20 maxweight = 15
% 0.84/1.20 maxdepth = 30000
% 0.84/1.20 maxlength = 115
% 0.84/1.20 maxnrvars = 195
% 0.84/1.20 excuselevel = 1
% 0.84/1.20 increasemaxweight = 1
% 0.84/1.20
% 0.84/1.20 maxselected = 10000000
% 0.84/1.20 maxnrclauses = 10000000
% 0.84/1.20
% 0.84/1.20 showgenerated = 0
% 0.84/1.20 showkept = 0
% 0.84/1.20 showselected = 0
% 0.84/1.20 showdeleted = 0
% 0.84/1.20 showresimp = 1
% 0.84/1.20 showstatus = 2000
% 0.84/1.20
% 0.84/1.20 prologoutput = 1
% 0.84/1.20 nrgoals = 5000000
% 0.84/1.20 totalproof = 1
% 0.84/1.20
% 0.84/1.20 Symbols occurring in the translation:
% 0.84/1.20
% 0.84/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.20 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.84/1.20 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.84/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.20 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.84/1.20 sum [41, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.84/1.20 multiply [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.84/1.20 product [44, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.84/1.20 add [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.84/1.20 'additive_inverse' [46, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.84/1.20 a [57, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.84/1.20 b [58, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.84/1.20 c [59, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.84/1.20 d [60, 0] (w:1, o:25, a:1, s:1, b:0).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Starting Search:
% 0.84/1.20
% 0.84/1.20 Resimplifying inuse:
% 0.84/1.20 Done
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Intermediate Status:
% 0.84/1.20 Generated: 5181
% 0.84/1.20 Kept: 2065
% 0.84/1.20 Inuse: 79
% 0.84/1.20 Deleted: 0
% 0.84/1.20 Deletedinuse: 0
% 0.84/1.20
% 0.84/1.20 Resimplifying inuse:
% 0.84/1.20 Done
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Bliksems!, er is een bewijs:
% 0.84/1.20 % SZS status Unsatisfiable
% 0.84/1.20 % SZS output start Refutation
% 0.84/1.20
% 0.84/1.20 clause( 9, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.84/1.20 Z, T, W ) ), product( X, U, W ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 10, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.84/1.20 X, U, W ) ), product( Z, T, W ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 0.84/1.20 T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.84/1.20 )
% 0.84/1.20 .
% 0.84/1.20 clause( 19, [ sum( X, X, 'additive_identity' ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 22, [ =( multiply( X, X ), X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 24, [ =( multiply( b, a ), d ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 28, [ product( c, b, c ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 30, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 31, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 41, [ product( a, b, multiply( a, c ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 56, [ product( X, X, X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 59, [ ~( =( d, c ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 233, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product( X
% 0.84/1.20 , Z, T ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 236, [ ~( product( X, Y, Z ) ), product( X, Z, Z ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 316, [ ~( product( X, c, Y ) ), ~( product( X, c, Z ) ), product( Y
% 0.84/1.20 , b, Z ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 331, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product( Z
% 0.84/1.20 , Y, T ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 333, [ ~( product( X, Y, Z ) ), product( Z, Y, Z ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 340, [ ~( product( X, c, Y ) ), product( Y, b, Y ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 742, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), ~( product(
% 0.84/1.20 'additive_identity', Y, U ) ), sum( Z, T, U ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 751, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.84/1.20 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 752, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y ) ]
% 0.84/1.20 )
% 0.84/1.20 .
% 0.84/1.20 clause( 932, [ ~( sum( X, X, Y ) ), =( 'additive_identity', Y ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2268, [ product( a, b, multiply( X, b ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2269, [ product( a, multiply( b, X ), X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2494, [ product( a, X, X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2495, [ product( X, multiply( b, X ), X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2531, [ ~( product( a, X, Y ) ), =( X, Y ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2604, [ =( d, a ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2605, [ =( multiply( b, X ), X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2608, [ =( multiply( Y, X ), X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2613, [ =( c, b ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2722, [ ~( =( X, b ) ), ~( product( a, X, a ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2723, [ ~( product( a, b, a ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2871, [ ~( product( X, b, a ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2912, [ product( X, Y, Y ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2914, [ sum( X, X, X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2922, [ =( 'additive_identity', X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2934, [ ~( product( X, b, 'additive_identity' ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2953, [] )
% 0.84/1.20 .
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 % SZS output end Refutation
% 0.84/1.20 found a proof!
% 0.84/1.20
% 0.84/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.20
% 0.84/1.20 initialclauses(
% 0.84/1.20 [ clause( 2955, [ sum( 'additive_identity', X, X ) ] )
% 0.84/1.20 , clause( 2956, [ sum( X, 'additive_identity', X ) ] )
% 0.84/1.20 , clause( 2957, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.84/1.20 , clause( 2958, [ sum( X, Y, add( X, Y ) ) ] )
% 0.84/1.20 , clause( 2959, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 0.84/1.20 )
% 0.84/1.20 , clause( 2960, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 0.84/1.20 )
% 0.84/1.20 , clause( 2961, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W
% 0.84/1.20 ) ), sum( X, U, W ) ] )
% 0.84/1.20 , clause( 2962, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W
% 0.84/1.20 ) ), sum( Z, T, W ) ] )
% 0.84/1.20 , clause( 2963, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.84/1.20 , clause( 2964, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.84/1.20 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.84/1.20 , clause( 2965, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.84/1.20 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.84/1.20 , clause( 2966, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.84/1.20 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.84/1.20 , clause( 2967, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.84/1.20 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 0.84/1.20 , clause( 2968, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.84/1.20 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.84/1.20 , clause( 2969, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.84/1.20 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 0.84/1.20 , clause( 2970, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.84/1.20 , clause( 2971, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.84/1.20 ) ] )
% 0.84/1.20 , clause( 2972, [ sum( X, add( X, Y ), Y ) ] )
% 0.84/1.20 , clause( 2973, [ sum( add( X, Y ), Y, X ) ] )
% 0.84/1.20 , clause( 2974, [ sum( X, X, 'additive_identity' ) ] )
% 0.84/1.20 , clause( 2975, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.84/1.20 , clause( 2976, [ =( add( X, X ), 'additive_identity' ) ] )
% 0.84/1.20 , clause( 2977, [ =( multiply( X, X ), X ) ] )
% 0.84/1.20 , clause( 2978, [ =( multiply( a, b ), c ) ] )
% 0.84/1.20 , clause( 2979, [ =( multiply( b, a ), d ) ] )
% 0.84/1.20 , clause( 2980, [ sum( X, Y, add( Y, X ) ) ] )
% 0.84/1.20 , clause( 2981, [ product( a, c, c ) ] )
% 0.84/1.20 , clause( 2982, [ product( b, d, d ) ] )
% 0.84/1.20 , clause( 2983, [ product( c, b, c ) ] )
% 0.84/1.20 , clause( 2984, [ product( d, a, d ) ] )
% 0.84/1.20 , clause( 2985, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 0.84/1.20 , clause( 2986, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 0.84/1.20 , clause( 2987, [ product( a, b, multiply( c, b ) ) ] )
% 0.84/1.20 , clause( 2988, [ product( a, multiply( b, c ), c ) ] )
% 0.84/1.20 , clause( 2989, [ product( b, multiply( a, X ), multiply( d, X ) ) ] )
% 0.84/1.20 , clause( 2990, [ product( b, a, multiply( d, a ) ) ] )
% 0.84/1.20 , clause( 2991, [ product( b, multiply( a, d ), d ) ] )
% 0.84/1.20 , clause( 2992, [ product( b, c, multiply( d, b ) ) ] )
% 0.84/1.20 , clause( 2993, [ product( a, d, multiply( c, a ) ) ] )
% 0.84/1.20 , clause( 2994, [ product( multiply( X, Y ), Y, multiply( X, Y ) ) ] )
% 0.84/1.20 , clause( 2995, [ product( multiply( X, a ), b, multiply( X, c ) ) ] )
% 0.84/1.20 , clause( 2996, [ product( a, b, multiply( a, c ) ) ] )
% 0.84/1.20 , clause( 2997, [ product( multiply( c, a ), b, c ) ] )
% 0.84/1.20 , clause( 2998, [ product( d, b, multiply( b, c ) ) ] )
% 0.84/1.20 , clause( 2999, [ product( multiply( X, b ), a, multiply( X, d ) ) ] )
% 0.84/1.20 , clause( 3000, [ product( b, a, multiply( b, d ) ) ] )
% 0.84/1.20 , clause( 3001, [ product( multiply( d, b ), a, d ) ] )
% 0.84/1.20 , clause( 3002, [ product( c, a, multiply( a, d ) ) ] )
% 0.84/1.20 , clause( 3003, [ product( a, add( b, a ), add( c, a ) ) ] )
% 0.84/1.20 , clause( 3004, [ product( a, add( a, b ), add( a, c ) ) ] )
% 0.84/1.20 , clause( 3005, [ product( b, add( a, b ), add( d, b ) ) ] )
% 0.84/1.20 , clause( 3006, [ product( b, add( b, a ), add( b, d ) ) ] )
% 0.84/1.20 , clause( 3007, [ product( add( a, b ), b, add( c, b ) ) ] )
% 0.84/1.20 , clause( 3008, [ product( add( b, a ), b, add( b, c ) ) ] )
% 0.84/1.20 , clause( 3009, [ product( add( b, a ), a, add( d, a ) ) ] )
% 0.84/1.20 , clause( 3010, [ product( add( a, b ), a, add( a, d ) ) ] )
% 0.84/1.20 , clause( 3011, [ product( X, X, X ) ] )
% 0.84/1.20 , clause( 3012, [ product( a, b, c ) ] )
% 0.84/1.20 , clause( 3013, [ product( b, a, d ) ] )
% 0.84/1.20 , clause( 3014, [ ~( =( c, d ) ) ] )
% 0.84/1.20 ] ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 9, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.84/1.20 Z, T, W ) ), product( X, U, W ) ] )
% 0.84/1.20 , clause( 2964, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.84/1.20 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.84/1.20 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.84/1.20 , 2 ), ==>( 3, 3 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 10, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.84/1.20 X, U, W ) ), product( Z, T, W ) ] )
% 0.84/1.20 , clause( 2965, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.84/1.20 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.84/1.20 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.84/1.20 , 2 ), ==>( 3, 3 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 0.84/1.20 T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.84/1.20 , clause( 2968, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.84/1.20 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.84/1.20 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 0.84/1.20 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.84/1.20 , clause( 2970, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.84/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.84/1.20 )
% 0.84/1.20 , clause( 2971, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.84/1.20 ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.84/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 19, [ sum( X, X, 'additive_identity' ) ] )
% 0.84/1.20 , clause( 2974, [ sum( X, X, 'additive_identity' ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 22, [ =( multiply( X, X ), X ) ] )
% 0.84/1.20 , clause( 2977, [ =( multiply( X, X ), X ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 24, [ =( multiply( b, a ), d ) ] )
% 0.84/1.20 , clause( 2979, [ =( multiply( b, a ), d ) ] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 28, [ product( c, b, c ) ] )
% 0.84/1.20 , clause( 2983, [ product( c, b, c ) ] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 30, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 0.84/1.20 , clause( 2985, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 31, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 0.84/1.20 , clause( 2986, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 41, [ product( a, b, multiply( a, c ) ) ] )
% 0.84/1.20 , clause( 2996, [ product( a, b, multiply( a, c ) ) ] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 56, [ product( X, X, X ) ] )
% 0.84/1.20 , clause( 3011, [ product( X, X, X ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 eqswap(
% 0.84/1.20 clause( 3459, [ ~( =( d, c ) ) ] )
% 0.84/1.20 , clause( 3014, [ ~( =( c, d ) ) ] )
% 0.84/1.20 , 0, substitution( 0, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 59, [ ~( =( d, c ) ) ] )
% 0.84/1.20 , clause( 3459, [ ~( =( d, c ) ) ] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 3460, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 0.84/1.20 X, Z, T ) ] )
% 0.84/1.20 , clause( 9, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.84/1.20 Z, T, W ) ), product( X, U, W ) ] )
% 0.84/1.20 , 0, clause( 56, [ product( X, X, X ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y ),
% 0.84/1.20 :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 233, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product( X
% 0.84/1.20 , Z, T ) ] )
% 0.84/1.20 , clause( 3460, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 0.84/1.20 X, Z, T ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.84/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 3465, [ ~( product( X, Y, Z ) ), product( X, Z, Z ) ] )
% 0.84/1.20 , clause( 233, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 0.84/1.20 X, Z, T ) ] )
% 0.84/1.20 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )
% 0.84/1.20 ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 236, [ ~( product( X, Y, Z ) ), product( X, Z, Z ) ] )
% 0.84/1.20 , clause( 3465, [ ~( product( X, Y, Z ) ), product( X, Z, Z ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.84/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 3467, [ ~( product( X, c, Y ) ), ~( product( X, c, Z ) ), product(
% 0.84/1.20 Y, b, Z ) ] )
% 0.84/1.20 , clause( 10, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.84/1.20 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.84/1.20 , 1, clause( 28, [ product( c, b, c ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, Y ), :=( T, b ),
% 0.84/1.20 :=( U, c ), :=( W, Z )] ), substitution( 1, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 316, [ ~( product( X, c, Y ) ), ~( product( X, c, Z ) ), product( Y
% 0.84/1.20 , b, Z ) ] )
% 0.84/1.20 , clause( 3467, [ ~( product( X, c, Y ) ), ~( product( X, c, Z ) ), product(
% 0.84/1.20 Y, b, Z ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.84/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 3472, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 0.84/1.20 Z, Y, T ) ] )
% 0.84/1.20 , clause( 10, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.84/1.20 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.84/1.20 , 1, clause( 56, [ product( X, X, X ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ),
% 0.84/1.20 :=( U, Y ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 331, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product( Z
% 0.84/1.20 , Y, T ) ] )
% 0.84/1.20 , clause( 3472, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 0.84/1.20 Z, Y, T ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.84/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 3476, [ ~( product( X, Y, Z ) ), product( Z, Y, Z ) ] )
% 0.84/1.20 , clause( 331, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 0.84/1.20 Z, Y, T ) ] )
% 0.84/1.20 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )
% 0.84/1.20 ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 333, [ ~( product( X, Y, Z ) ), product( Z, Y, Z ) ] )
% 0.84/1.20 , clause( 3476, [ ~( product( X, Y, Z ) ), product( Z, Y, Z ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.84/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 3477, [ ~( product( X, c, Y ) ), product( Y, b, Y ) ] )
% 0.84/1.20 , clause( 316, [ ~( product( X, c, Y ) ), ~( product( X, c, Z ) ), product(
% 0.84/1.20 Y, b, Z ) ] )
% 0.84/1.20 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 340, [ ~( product( X, c, Y ) ), product( Y, b, Y ) ] )
% 0.84/1.20 , clause( 3477, [ ~( product( X, c, Y ) ), product( Y, b, Y ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 3478, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), ~(
% 0.84/1.20 product( 'additive_identity', Y, U ) ), sum( Z, T, U ) ] )
% 0.84/1.20 , clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X
% 0.84/1.20 , T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.84/1.20 , 2, clause( 19, [ sum( X, X, 'additive_identity' ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 0.84/1.20 :=( U, T ), :=( W, 'additive_identity' ), :=( V0, U )] ), substitution( 1
% 0.84/1.20 , [ :=( X, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 742, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), ~( product(
% 0.84/1.20 'additive_identity', Y, U ) ), sum( Z, T, U ) ] )
% 0.84/1.20 , clause( 3478, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), ~(
% 0.84/1.20 product( 'additive_identity', Y, U ) ), sum( Z, T, U ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.84/1.20 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 0.84/1.20 , 3 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 3485, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.84/1.20 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.84/1.20 , clause( 742, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), ~(
% 0.84/1.20 product( 'additive_identity', Y, U ) ), sum( Z, T, U ) ] )
% 0.84/1.20 , 1, 2, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z
% 0.84/1.20 , Y ), :=( T, Z ), :=( U, Z )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 751, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.84/1.20 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.84/1.20 , clause( 3485, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.84/1.20 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.84/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 3487, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y ) ]
% 0.84/1.20 )
% 0.84/1.20 , clause( 751, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.84/1.20 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.84/1.20 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 752, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y ) ]
% 0.84/1.20 )
% 0.84/1.20 , clause( 3487, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y )
% 0.84/1.20 ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 3488, [ ~( sum( X, X, Y ) ), =( 'additive_identity', Y ) ] )
% 0.84/1.20 , clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.84/1.20 , 0, clause( 19, [ sum( X, X, 'additive_identity' ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, 'additive_identity'
% 0.84/1.20 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 932, [ ~( sum( X, X, Y ) ), =( 'additive_identity', Y ) ] )
% 0.84/1.20 , clause( 3488, [ ~( sum( X, X, Y ) ), =( 'additive_identity', Y ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 paramod(
% 0.84/1.20 clause( 3491, [ product( a, b, multiply( X, b ) ) ] )
% 0.84/1.20 , clause( 22, [ =( multiply( X, X ), X ) ] )
% 0.84/1.20 , 0, clause( 31, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 0.84/1.20 , 0, 2, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, b ),
% 0.84/1.20 :=( Y, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 2268, [ product( a, b, multiply( X, b ) ) ] )
% 0.84/1.20 , clause( 3491, [ product( a, b, multiply( X, b ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 paramod(
% 0.84/1.20 clause( 3495, [ product( a, multiply( b, X ), X ) ] )
% 0.84/1.20 , clause( 22, [ =( multiply( X, X ), X ) ] )
% 0.84/1.20 , 0, clause( 31, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 0.84/1.20 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.84/1.20 :=( Y, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 2269, [ product( a, multiply( b, X ), X ) ] )
% 0.84/1.20 , clause( 3495, [ product( a, multiply( b, X ), X ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 3496, [ product( a, X, X ) ] )
% 0.84/1.20 , clause( 236, [ ~( product( X, Y, Z ) ), product( X, Z, Z ) ] )
% 0.84/1.20 , 0, clause( 2269, [ product( a, multiply( b, X ), X ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, a ), :=( Y, multiply( b, X ) ), :=( Z, X )] )
% 0.84/1.20 , substitution( 1, [ :=( X, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 2494, [ product( a, X, X ) ] )
% 0.84/1.20 , clause( 3496, [ product( a, X, X ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 3497, [ product( X, multiply( b, X ), X ) ] )
% 0.84/1.20 , clause( 333, [ ~( product( X, Y, Z ) ), product( Z, Y, Z ) ] )
% 0.84/1.20 , 0, clause( 2269, [ product( a, multiply( b, X ), X ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, a ), :=( Y, multiply( b, X ) ), :=( Z, X )] )
% 0.84/1.20 , substitution( 1, [ :=( X, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 2495, [ product( X, multiply( b, X ), X ) ] )
% 0.84/1.20 , clause( 3497, [ product( X, multiply( b, X ), X ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 3498, [ ~( product( a, X, Y ) ), =( X, Y ) ] )
% 0.84/1.20 , clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.84/1.20 ] )
% 0.84/1.20 , 0, clause( 2494, [ product( a, X, X ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------