TSTP Solution File: GRP451-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:37:05 EDT 2022
% Result : Unsatisfiable 0.72s 1.12s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 22:32:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ =( divide( divide( divide( X, X ), divide( X, divide( Y, divide(
% 0.72/1.12 divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ],
% 0.72/1.12 [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y ) ) ) ],
% 0.72/1.12 [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ],
% 0.72/1.12 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.72/1.12 ]
% 0.72/1.12 ] .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.12 This is a pure equality problem
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 1
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 divide [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.12 multiply [43, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.12 inverse [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.12 a1 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.12 b1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Starting Search:
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksems!, er is een bewijs:
% 0.72/1.12 % SZS status Unsatisfiable
% 0.72/1.12 % SZS output start Refutation
% 0.72/1.12
% 0.72/1.12 clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.72/1.12 divide( divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 3, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.72/1.12 a1 ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ), inverse(
% 0.72/1.12 Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 7, [ =( divide( inverse( inverse( inverse( inverse( inverse( divide(
% 0.72/1.12 X, X ) ) ) ) ) ), Y ), inverse( Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 8, [ =( divide( inverse( inverse( inverse( inverse( divide( X, X )
% 0.72/1.12 ) ) ) ), Y ), inverse( Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 10, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.72/1.12 ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 15, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 .
% 0.72/1.12 clause( 33, [ =( divide( inverse( inverse( multiply( Y, Z ) ) ), Z ), Y ) ]
% 0.72/1.12 )
% 0.72/1.12 .
% 0.72/1.12 clause( 48, [ =( divide( inverse( inverse( inverse( inverse( Y ) ) ) ), Y )
% 0.72/1.12 , divide( X, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 59, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 83, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 97, [ ~( =( divide( X, X ), multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 116, [] )
% 0.72/1.12 .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 % SZS output end Refutation
% 0.72/1.12 found a proof!
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 initialclauses(
% 0.72/1.12 [ clause( 118, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.72/1.12 divide( divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , clause( 119, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y
% 0.72/1.12 ) ) ) ] )
% 0.72/1.12 , clause( 120, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.72/1.12 , clause( 121, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.72/1.12 ), b1 ) ) ) ] )
% 0.72/1.12 ] ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.72/1.12 divide( divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , clause( 118, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.72/1.12 divide( divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 124, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 119, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y
% 0.72/1.12 ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 124, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X,
% 0.72/1.12 Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 127, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , clause( 120, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , clause( 127, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 131, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.72/1.12 , a1 ) ) ) ] )
% 0.72/1.12 , clause( 121, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.72/1.12 ), b1 ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 3, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.72/1.12 a1 ) ) ) ] )
% 0.72/1.12 , clause( 131, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.72/1.12 ), a1 ) ) ) ] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 132, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.72/1.12 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 135, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 132, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.72/1.12 , 0, 4, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 136, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 135, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) )
% 0.72/1.12 ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.72/1.12 , clause( 136, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) )
% 0.72/1.12 ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 137, [ =( inverse( Y ), divide( inverse( divide( X, X ) ), Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 139, [ =( inverse( X ), divide( inverse( inverse( divide( Y, Y ) )
% 0.72/1.12 ), X ) ) ] )
% 0.72/1.12 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 137, [ =( inverse( Y ), divide( inverse( divide( X, X ) ), Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 140, [ =( divide( inverse( inverse( divide( Y, Y ) ) ), X ),
% 0.72/1.12 inverse( X ) ) ] )
% 0.72/1.12 , clause( 139, [ =( inverse( X ), divide( inverse( inverse( divide( Y, Y )
% 0.72/1.12 ) ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ), inverse(
% 0.72/1.12 Y ) ) ] )
% 0.72/1.12 , clause( 140, [ =( divide( inverse( inverse( divide( Y, Y ) ) ), X ),
% 0.72/1.12 inverse( X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 141, [ =( inverse( Y ), divide( inverse( inverse( divide( X, X ) )
% 0.72/1.12 ), Y ) ) ] )
% 0.72/1.12 , clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ),
% 0.72/1.12 inverse( Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 144, [ =( inverse( X ), divide( inverse( inverse( inverse( inverse(
% 0.72/1.12 inverse( divide( Y, Y ) ) ) ) ) ), X ) ) ] )
% 0.72/1.12 , clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ),
% 0.72/1.12 inverse( Y ) ) ] )
% 0.72/1.12 , 0, clause( 141, [ =( inverse( Y ), divide( inverse( inverse( divide( X, X
% 0.72/1.12 ) ) ), Y ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, inverse( inverse( divide( Y,
% 0.72/1.12 Y ) ) ) )] ), substitution( 1, [ :=( X, inverse( inverse( divide( Y, Y )
% 0.72/1.12 ) ) ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 145, [ =( divide( inverse( inverse( inverse( inverse( inverse(
% 0.72/1.12 divide( Y, Y ) ) ) ) ) ), X ), inverse( X ) ) ] )
% 0.72/1.12 , clause( 144, [ =( inverse( X ), divide( inverse( inverse( inverse(
% 0.72/1.12 inverse( inverse( divide( Y, Y ) ) ) ) ) ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 7, [ =( divide( inverse( inverse( inverse( inverse( inverse( divide(
% 0.72/1.12 X, X ) ) ) ) ) ), Y ), inverse( Y ) ) ] )
% 0.72/1.12 , clause( 145, [ =( divide( inverse( inverse( inverse( inverse( inverse(
% 0.72/1.12 divide( Y, Y ) ) ) ) ) ), X ), inverse( X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 146, [ =( inverse( Y ), divide( inverse( inverse( divide( X, X ) )
% 0.72/1.12 ), Y ) ) ] )
% 0.72/1.12 , clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ),
% 0.72/1.12 inverse( Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 148, [ =( inverse( X ), divide( inverse( inverse( inverse( inverse(
% 0.72/1.12 divide( Y, Y ) ) ) ) ), X ) ) ] )
% 0.72/1.12 , clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, clause( 146, [ =( inverse( Y ), divide( inverse( inverse( divide( X, X
% 0.72/1.12 ) ) ), Y ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, inverse( divide( Y, Y ) ) )] )
% 0.72/1.12 , substitution( 1, [ :=( X, inverse( divide( Y, Y ) ) ), :=( Y, X )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 149, [ =( divide( inverse( inverse( inverse( inverse( divide( Y, Y
% 0.72/1.12 ) ) ) ) ), X ), inverse( X ) ) ] )
% 0.72/1.12 , clause( 148, [ =( inverse( X ), divide( inverse( inverse( inverse(
% 0.72/1.12 inverse( divide( Y, Y ) ) ) ) ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 8, [ =( divide( inverse( inverse( inverse( inverse( divide( X, X )
% 0.72/1.12 ) ) ) ), Y ), inverse( Y ) ) ] )
% 0.72/1.12 , clause( 149, [ =( divide( inverse( inverse( inverse( inverse( divide( Y,
% 0.72/1.12 Y ) ) ) ) ), X ), inverse( X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 152, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.72/1.12 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X
% 0.72/1.12 , Y ) ) ] )
% 0.72/1.12 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.12 , clause( 152, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 158, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.72/1.12 divide( inverse( X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.72/1.12 divide( divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 160, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.72/1.12 ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 158, [ =( divide( divide( divide( X, X ), divide( X, divide( Y
% 0.72/1.12 , divide( inverse( X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , 0, 2, substitution( 0, [ :=( X, divide( X, divide( Y, divide( inverse( X
% 0.72/1.12 ), Z ) ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.72/1.12 :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 10, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.72/1.12 ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , clause( 160, [ =( divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.72/1.12 X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 162, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 164, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 162, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.72/1.12 substitution( 1, [ :=( X, divide( X, X ) ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 15, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 164, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 167, [ =( Y, divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.72/1.12 X ), Z ) ) ) ), Z ) ) ] )
% 0.72/1.12 , clause( 10, [ =( divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.72/1.12 X ), Z ) ) ) ), Z ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 170, [ =( X, divide( inverse( inverse( divide( X, divide( inverse(
% 0.72/1.12 inverse( inverse( inverse( inverse( divide( Y, Y ) ) ) ) ) ), Z ) ) ) ),
% 0.72/1.12 Z ) ) ] )
% 0.72/1.12 , clause( 8, [ =( divide( inverse( inverse( inverse( inverse( divide( X, X
% 0.72/1.12 ) ) ) ) ), Y ), inverse( Y ) ) ] )
% 0.72/1.12 , 0, clause( 167, [ =( Y, divide( inverse( divide( X, divide( Y, divide(
% 0.72/1.12 inverse( X ), Z ) ) ) ), Z ) ) ] )
% 0.72/1.12 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, divide( inverse(
% 0.72/1.12 inverse( inverse( inverse( inverse( divide( Y, Y ) ) ) ) ) ), Z ) ) )] )
% 0.72/1.12 , substitution( 1, [ :=( X, inverse( inverse( inverse( inverse( divide( Y
% 0.72/1.12 , Y ) ) ) ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 173, [ =( X, divide( inverse( inverse( divide( X, inverse( Z ) ) )
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , clause( 7, [ =( divide( inverse( inverse( inverse( inverse( inverse(
% 0.72/1.12 divide( X, X ) ) ) ) ) ), Y ), inverse( Y ) ) ] )
% 0.72/1.12 , 0, clause( 170, [ =( X, divide( inverse( inverse( divide( X, divide(
% 0.72/1.12 inverse( inverse( inverse( inverse( inverse( divide( Y, Y ) ) ) ) ) ), Z
% 0.72/1.12 ) ) ) ), Z ) ) ] )
% 0.72/1.12 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 174, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.12 , 0, clause( 173, [ =( X, divide( inverse( inverse( divide( X, inverse( Z )
% 0.72/1.12 ) ) ), Z ) ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 175, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 174, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 33, [ =( divide( inverse( inverse( multiply( Y, Z ) ) ), Z ), Y ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 175, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X
% 0.72/1.12 ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 177, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 33, [ =( divide( inverse( inverse( multiply( Y, Z ) ) ), Z ), Y )
% 0.72/1.12 ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 178, [ =( divide( X, X ), divide( inverse( inverse( inverse(
% 0.72/1.12 inverse( Y ) ) ) ), Y ) ) ] )
% 0.72/1.12 , clause( 15, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 , 0, clause( 177, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, divide( X, X ) ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 179, [ =( divide( inverse( inverse( inverse( inverse( Y ) ) ) ), Y
% 0.72/1.12 ), divide( X, X ) ) ] )
% 0.72/1.12 , clause( 178, [ =( divide( X, X ), divide( inverse( inverse( inverse(
% 0.72/1.12 inverse( Y ) ) ) ), Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 48, [ =( divide( inverse( inverse( inverse( inverse( Y ) ) ) ), Y )
% 0.72/1.12 , divide( X, X ) ) ] )
% 0.72/1.12 , clause( 179, [ =( divide( inverse( inverse( inverse( inverse( Y ) ) ) ),
% 0.72/1.12 Y ), divide( X, X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 180, [ =( divide( Y, Y ), divide( inverse( inverse( inverse(
% 0.72/1.12 inverse( X ) ) ) ), X ) ) ] )
% 0.72/1.12 , clause( 48, [ =( divide( inverse( inverse( inverse( inverse( Y ) ) ) ), Y
% 0.72/1.12 ), divide( X, X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 185, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.72/1.12 , clause( 48, [ =( divide( inverse( inverse( inverse( inverse( Y ) ) ) ), Y
% 0.72/1.12 ), divide( X, X ) ) ] )
% 0.72/1.12 , 0, clause( 180, [ =( divide( Y, Y ), divide( inverse( inverse( inverse(
% 0.72/1.12 inverse( X ) ) ) ), X ) ) ] )
% 0.72/1.12 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 59, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.72/1.12 , clause( 185, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 186, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 187, [ =( multiply( inverse( X ), X ), divide( Y, Y ) ) ] )
% 0.72/1.12 , clause( 59, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.72/1.12 , 0, clause( 186, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, inverse( X ) ), :=( Z, Y )] )
% 0.72/1.12 , substitution( 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 188, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.72/1.12 , clause( 187, [ =( multiply( inverse( X ), X ), divide( Y, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 83, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.72/1.12 , clause( 188, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 189, [ =( multiply( inverse( Y ), Y ), divide( X, X ) ) ] )
% 0.72/1.12 , clause( 83, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 190, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.72/1.12 , b1 ) ) ) ] )
% 0.72/1.12 , clause( 3, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.72/1.12 , a1 ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 192, [ ~( =( multiply( inverse( a1 ), a1 ), divide( X, X ) ) ) ] )
% 0.72/1.12 , clause( 189, [ =( multiply( inverse( Y ), Y ), divide( X, X ) ) ] )
% 0.72/1.12 , 0, clause( 190, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.72/1.12 b1 ), b1 ) ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, b1 )] ), substitution( 1, [] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 195, [ ~( =( divide( X, X ), multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.72/1.12 , clause( 192, [ ~( =( multiply( inverse( a1 ), a1 ), divide( X, X ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 97, [ ~( =( divide( X, X ), multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.72/1.12 , clause( 195, [ ~( =( divide( X, X ), multiply( inverse( a1 ), a1 ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 198, [] )
% 0.72/1.12 , clause( 97, [ ~( =( divide( X, X ), multiply( inverse( a1 ), a1 ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, clause( 83, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, a1 ), :=(
% 0.72/1.12 Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 116, [] )
% 0.72/1.12 , clause( 198, [] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 end.
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 Memory use:
% 0.72/1.12
% 0.72/1.12 space for terms: 1535
% 0.72/1.12 space for clauses: 11699
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 clauses generated: 604
% 0.72/1.12 clauses kept: 117
% 0.72/1.12 clauses selected: 27
% 0.72/1.12 clauses deleted: 3
% 0.72/1.12 clauses inuse deleted: 0
% 0.72/1.12
% 0.72/1.12 subsentry: 359
% 0.72/1.12 literals s-matched: 224
% 0.72/1.12 literals matched: 224
% 0.72/1.12 full subsumption: 0
% 0.72/1.12
% 0.72/1.12 checksum: -1842478647
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksem ended
%------------------------------------------------------------------------------