TSTP Solution File: GRP017-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP017-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:34:20 EDT 2022
% Result : Unsatisfiable 3.49s 3.84s
% Output : Refutation 3.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP017-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 12:20:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.49/3.84 *** allocated 10000 integers for termspace/termends
% 3.49/3.84 *** allocated 10000 integers for clauses
% 3.49/3.84 *** allocated 10000 integers for justifications
% 3.49/3.84 Bliksem 1.12
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Automatic Strategy Selection
% 3.49/3.84
% 3.49/3.84 Clauses:
% 3.49/3.84 [
% 3.49/3.84 [ product( identity, X, X ) ],
% 3.49/3.84 [ product( X, identity, X ) ],
% 3.49/3.84 [ product( inverse( X ), X, identity ) ],
% 3.49/3.84 [ product( X, inverse( X ), identity ) ],
% 3.49/3.84 [ product( X, Y, multiply( X, Y ) ) ],
% 3.49/3.84 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 3.49/3.84 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 3.49/3.84 ) ), product( X, U, W ) ],
% 3.49/3.84 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 3.49/3.84 ) ), product( Z, T, W ) ],
% 3.49/3.84 [ product( a, b, identity ) ],
% 3.49/3.84 [ product( b, a, identity ) ],
% 3.49/3.84 [ product( a, c, identity ) ],
% 3.49/3.84 [ product( c, a, identity ) ],
% 3.49/3.84 [ ~( =( b, c ) ) ]
% 3.49/3.84 ] .
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 percentage equality = 0.095238, percentage horn = 1.000000
% 3.49/3.84 This is a problem with some equality
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Options Used:
% 3.49/3.84
% 3.49/3.84 useres = 1
% 3.49/3.84 useparamod = 1
% 3.49/3.84 useeqrefl = 1
% 3.49/3.84 useeqfact = 1
% 3.49/3.84 usefactor = 1
% 3.49/3.84 usesimpsplitting = 0
% 3.49/3.84 usesimpdemod = 5
% 3.49/3.84 usesimpres = 3
% 3.49/3.84
% 3.49/3.84 resimpinuse = 1000
% 3.49/3.84 resimpclauses = 20000
% 3.49/3.84 substype = eqrewr
% 3.49/3.84 backwardsubs = 1
% 3.49/3.84 selectoldest = 5
% 3.49/3.84
% 3.49/3.84 litorderings [0] = split
% 3.49/3.84 litorderings [1] = extend the termordering, first sorting on arguments
% 3.49/3.84
% 3.49/3.84 termordering = kbo
% 3.49/3.84
% 3.49/3.84 litapriori = 0
% 3.49/3.84 termapriori = 1
% 3.49/3.84 litaposteriori = 0
% 3.49/3.84 termaposteriori = 0
% 3.49/3.84 demodaposteriori = 0
% 3.49/3.84 ordereqreflfact = 0
% 3.49/3.84
% 3.49/3.84 litselect = negord
% 3.49/3.84
% 3.49/3.84 maxweight = 15
% 3.49/3.84 maxdepth = 30000
% 3.49/3.84 maxlength = 115
% 3.49/3.84 maxnrvars = 195
% 3.49/3.84 excuselevel = 1
% 3.49/3.84 increasemaxweight = 1
% 3.49/3.84
% 3.49/3.84 maxselected = 10000000
% 3.49/3.84 maxnrclauses = 10000000
% 3.49/3.84
% 3.49/3.84 showgenerated = 0
% 3.49/3.84 showkept = 0
% 3.49/3.84 showselected = 0
% 3.49/3.84 showdeleted = 0
% 3.49/3.84 showresimp = 1
% 3.49/3.84 showstatus = 2000
% 3.49/3.84
% 3.49/3.84 prologoutput = 1
% 3.49/3.84 nrgoals = 5000000
% 3.49/3.84 totalproof = 1
% 3.49/3.84
% 3.49/3.84 Symbols occurring in the translation:
% 3.49/3.84
% 3.49/3.84 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.49/3.84 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 3.49/3.84 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 3.49/3.84 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.49/3.84 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.49/3.84 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.49/3.84 product [41, 3] (w:1, o:51, a:1, s:1, b:0),
% 3.49/3.84 inverse [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 3.49/3.84 multiply [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 3.49/3.84 a [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 3.49/3.84 b [50, 0] (w:1, o:17, a:1, s:1, b:0),
% 3.49/3.84 c [51, 0] (w:1, o:18, a:1, s:1, b:0).
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Starting Search:
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Intermediate Status:
% 3.49/3.84 Generated: 8281
% 3.49/3.84 Kept: 2003
% 3.49/3.84 Inuse: 117
% 3.49/3.84 Deleted: 17
% 3.49/3.84 Deletedinuse: 0
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Intermediate Status:
% 3.49/3.84 Generated: 16454
% 3.49/3.84 Kept: 4056
% 3.49/3.84 Inuse: 171
% 3.49/3.84 Deleted: 40
% 3.49/3.84 Deletedinuse: 20
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Intermediate Status:
% 3.49/3.84 Generated: 22870
% 3.49/3.84 Kept: 6101
% 3.49/3.84 Inuse: 217
% 3.49/3.84 Deleted: 40
% 3.49/3.84 Deletedinuse: 20
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Intermediate Status:
% 3.49/3.84 Generated: 32431
% 3.49/3.84 Kept: 8108
% 3.49/3.84 Inuse: 273
% 3.49/3.84 Deleted: 42
% 3.49/3.84 Deletedinuse: 20
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Intermediate Status:
% 3.49/3.84 Generated: 44789
% 3.49/3.84 Kept: 10126
% 3.49/3.84 Inuse: 335
% 3.49/3.84 Deleted: 80
% 3.49/3.84 Deletedinuse: 50
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Intermediate Status:
% 3.49/3.84 Generated: 63465
% 3.49/3.84 Kept: 12128
% 3.49/3.84 Inuse: 417
% 3.49/3.84 Deleted: 101
% 3.49/3.84 Deletedinuse: 63
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Intermediate Status:
% 3.49/3.84 Generated: 82614
% 3.49/3.84 Kept: 14339
% 3.49/3.84 Inuse: 462
% 3.49/3.84 Deleted: 127
% 3.49/3.84 Deletedinuse: 63
% 3.49/3.84
% 3.49/3.84 Resimplifying inuse:
% 3.49/3.84 Done
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 Bliksems!, er is een bewijs:
% 3.49/3.84 % SZS status Unsatisfiable
% 3.49/3.84 % SZS output start Refutation
% 3.49/3.84
% 3.49/3.84 clause( 0, [ product( identity, X, X ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 1, [ product( X, identity, X ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 3.49/3.84 )
% 3.49/3.84 .
% 3.49/3.84 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 3.49/3.84 Z, T, W ) ), product( X, U, W ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 8, [ product( a, b, identity ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 10, [ product( a, c, identity ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 12, [ ~( =( c, b ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 15, [ ~( product( X, Y, Y ) ), ~( product( Y, Z, T ) ), product( X
% 3.49/3.84 , T, T ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 19, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 21, [ ~( product( a, b, X ) ), =( identity, X ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 26, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 27, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 61, [ product( X, b, identity ), ~( product( identity, X, a ) ) ]
% 3.49/3.84 )
% 3.49/3.84 .
% 3.49/3.84 clause( 126, [ ~( product( inverse( X ), Y, Z ) ), ~( product( identity, Y
% 3.49/3.84 , T ) ), product( X, Z, T ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 127, [ ~( product( X, Y, Z ) ), ~( product( Z, inverse( Y ), T ) )
% 3.49/3.84 , product( X, identity, T ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 164, [ =( multiply( X, identity ), X ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 212, [ ~( =( X, b ) ), ~( product( c, identity, X ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 215, [ ~( product( c, identity, b ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 421, [ product( X, Y, Y ), ~( product( a, b, X ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 628, [ ~( product( X, Y, Y ) ), product( X, identity, identity ) ]
% 3.49/3.84 )
% 3.49/3.84 .
% 3.49/3.84 clause( 9711, [ ~( product( X, Y, Y ) ), =( X, identity ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 10024, [ ~( product( c, X, b ) ), ~( product( X, Y, Y ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 14629, [ ~( product( inverse( c ), X, Y ) ), ~( product( identity,
% 3.49/3.84 X, b ) ), ~( product( Y, Z, Z ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 14857, [ ~( product( inverse( c ), b, identity ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 14862, [ ~( product( identity, inverse( c ), a ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 14940, [ ~( product( identity, inverse( c ), X ) ), ~( product( a,
% 3.49/3.84 identity, X ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 15254, [ ~( product( identity, inverse( c ), X ) ) ] )
% 3.49/3.84 .
% 3.49/3.84 clause( 15283, [] )
% 3.49/3.84 .
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 % SZS output end Refutation
% 3.49/3.84 found a proof!
% 3.49/3.84
% 3.49/3.84 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.49/3.84
% 3.49/3.84 initialclauses(
% 3.49/3.84 [ clause( 15285, [ product( identity, X, X ) ] )
% 3.49/3.84 , clause( 15286, [ product( X, identity, X ) ] )
% 3.49/3.84 , clause( 15287, [ product( inverse( X ), X, identity ) ] )
% 3.49/3.84 , clause( 15288, [ product( X, inverse( X ), identity ) ] )
% 3.49/3.84 , clause( 15289, [ product( X, Y, multiply( X, Y ) ) ] )
% 3.49/3.84 , clause( 15290, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 3.49/3.84 T ) ] )
% 3.49/3.84 , clause( 15291, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 3.49/3.84 product( Z, T, W ) ), product( X, U, W ) ] )
% 3.49/3.84 , clause( 15292, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 3.49/3.84 product( X, U, W ) ), product( Z, T, W ) ] )
% 3.49/3.84 , clause( 15293, [ product( a, b, identity ) ] )
% 3.49/3.84 , clause( 15294, [ product( b, a, identity ) ] )
% 3.49/3.84 , clause( 15295, [ product( a, c, identity ) ] )
% 3.49/3.84 , clause( 15296, [ product( c, a, identity ) ] )
% 3.49/3.84 , clause( 15297, [ ~( =( b, c ) ) ] )
% 3.49/3.84 ] ).
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 subsumption(
% 3.49/3.84 clause( 0, [ product( identity, X, X ) ] )
% 3.49/3.84 , clause( 15285, [ product( identity, X, X ) ] )
% 3.49/3.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.49/3.84
% 3.49/3.84
% 3.49/3.84 subsumption(
% 3.49/3.84 clause( 1, [ product( X, identity, X ) ] )
% 3.49/3.84 , clause( 15286, [ product( X, identity, X ) ] )
% 3.49/3.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.49/3.85
% 3.49/3.85
% 3.49/3.85 subsumption(
% 3.49/3.85 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 3.49/3.85 , clause( 15288, [ product( X, inverse( X ), identity ) ] )
% 3.49/3.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.49/3.85
% 3.49/3.85
% 3.49/3.85 subsumption(
% 3.49/3.85 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 3.49/3.85 , clause( 15289, [ product( X, Y, multiply( X, Y ) ) ] )
% 3.49/3.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.49/3.85 )] ) ).
% 3.49/3.85
% 3.49/3.85
% 3.49/3.85 subsumption(
% 3.49/3.85 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 3.49/3.85 )
% 3.49/3.85 , clause( 15290, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 3.49/3.85 T ) ] )
% 3.49/3.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.49/3.85 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.49/3.85
% 3.49/3.85
% 3.49/3.85 subsumption(
% 3.49/3.85 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 3.49/3.85 Z, T, W ) ), product( X, U, W ) ] )
% 3.49/3.85 , clause( 15291, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 3.49/3.85 product( Z, T, W ) ), product( X, U, W ) ] )
% 3.49/3.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 215.41/215.83 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 215.41/215.83 , 2 ), ==>( 3, 3 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 subsumption(
% 215.41/215.83 clause( 8, [ product( a, b, identity ) ] )
% 215.41/215.83 , clause( 15293, [ product( a, b, identity ) ] )
% 215.41/215.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 subsumption(
% 215.41/215.83 clause( 10, [ product( a, c, identity ) ] )
% 215.41/215.83 , clause( 15295, [ product( a, c, identity ) ] )
% 215.41/215.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 eqswap(
% 215.41/215.83 clause( 15331, [ ~( =( c, b ) ) ] )
% 215.41/215.83 , clause( 15297, [ ~( =( b, c ) ) ] )
% 215.41/215.83 , 0, substitution( 0, [] )).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 subsumption(
% 215.41/215.83 clause( 12, [ ~( =( c, b ) ) ] )
% 215.41/215.83 , clause( 15331, [ ~( =( c, b ) ) ] )
% 215.41/215.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 factor(
% 215.41/215.83 clause( 15334, [ ~( product( X, Y, Y ) ), ~( product( Y, Z, T ) ), product(
% 215.41/215.83 X, T, T ) ] )
% 215.41/215.83 , clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 215.41/215.83 Z, T, W ) ), product( X, U, W ) ] )
% 215.41/215.83 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 215.41/215.83 :=( U, T ), :=( W, T )] )).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 subsumption(
% 215.41/215.83 clause( 15, [ ~( product( X, Y, Y ) ), ~( product( Y, Z, T ) ), product( X
% 215.41/215.83 , T, T ) ] )
% 215.41/215.83 , clause( 15334, [ ~( product( X, Y, Y ) ), ~( product( Y, Z, T ) ),
% 215.41/215.83 product( X, T, T ) ] )
% 215.41/215.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 215.41/215.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 resolution(
% 215.41/215.83 clause( 15336, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 215.41/215.83 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 215.41/215.83 ] )
% 215.41/215.83 , 0, clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 215.41/215.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) ),
% 215.41/215.83 :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 subsumption(
% 215.41/215.83 clause( 19, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 215.41/215.83 , clause( 15336, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 215.41/215.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 215.41/215.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 resolution(
% 215.41/215.83 clause( 15338, [ ~( product( a, b, X ) ), =( identity, X ) ] )
% 215.41/215.83 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 215.41/215.83 ] )
% 215.41/215.83 , 0, clause( 8, [ product( a, b, identity ) ] )
% 215.41/215.83 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, identity ), :=( T, X
% 215.41/215.83 )] ), substitution( 1, [] )).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 subsumption(
% 215.41/215.83 clause( 21, [ ~( product( a, b, X ) ), =( identity, X ) ] )
% 215.41/215.83 , clause( 15338, [ ~( product( a, b, X ) ), =( identity, X ) ] )
% 215.41/215.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 215.41/215.83 1 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 resolution(
% 215.41/215.83 clause( 15340, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 215.41/215.83 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 215.41/215.83 ] )
% 215.41/215.83 , 0, clause( 0, [ product( identity, X, X ) ] )
% 215.41/215.83 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 215.41/215.83 )] ), substitution( 1, [ :=( X, X )] )).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 subsumption(
% 215.41/215.83 clause( 26, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 215.41/215.83 , clause( 15340, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 215.41/215.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 215.41/215.83 ), ==>( 1, 1 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 resolution(
% 215.41/215.83 clause( 15342, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 215.41/215.83 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 215.41/215.83 ] )
% 215.41/215.83 , 0, clause( 1, [ product( X, identity, X ) ] )
% 215.41/215.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, X ), :=( T, Y
% 215.41/215.83 )] ), substitution( 1, [ :=( X, X )] )).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 subsumption(
% 215.41/215.83 clause( 27, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 215.41/215.83 , clause( 15342, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 215.41/215.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 215.41/215.83 ), ==>( 1, 1 )] ) ).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 eqswap(
% 215.41/215.83 clause( 15344, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 215.41/215.83 , clause( 26, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 215.41/215.83 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 215.41/215.83
% 215.41/215.83
% 215.41/215.83 paramod(
% 215.41/215.83 clause( 15345, [ product( X, b, identity ), ~( product( identity, X, a ) )
% 215.41/215.83 ] )
% 215.41/215.83 , clause( 15344, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 215.41/215.83 , 0, clause( 8, [ product( a, b, identCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------