TSTP Solution File: GRP458-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP458-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 07:37:07 EDT 2022
% Result : Unsatisfiable 0.48s 1.12s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP458-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n023.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 : Tue Jun 14 04:08:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.48/1.12 *** allocated 10000 integers for termspace/termends
% 0.48/1.12 *** allocated 10000 integers for clauses
% 0.48/1.12 *** allocated 10000 integers for justifications
% 0.48/1.12 Bliksem 1.12
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Automatic Strategy Selection
% 0.48/1.12
% 0.48/1.12 Clauses:
% 0.48/1.12 [
% 0.48/1.12 [ =( divide( divide( divide( X, X ), divide( X, divide( Y, divide(
% 0.48/1.12 divide( identity, X ), Z ) ) ) ), Z ), Y ) ],
% 0.48/1.12 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.48/1.12 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.48/1.12 [ =( identity, divide( X, X ) ) ],
% 0.48/1.12 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.48/1.12 ] .
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.48/1.12 This is a pure equality problem
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Options Used:
% 0.48/1.12
% 0.48/1.12 useres = 1
% 0.48/1.12 useparamod = 1
% 0.48/1.12 useeqrefl = 1
% 0.48/1.12 useeqfact = 1
% 0.48/1.12 usefactor = 1
% 0.48/1.12 usesimpsplitting = 0
% 0.48/1.12 usesimpdemod = 5
% 0.48/1.12 usesimpres = 3
% 0.48/1.12
% 0.48/1.12 resimpinuse = 1000
% 0.48/1.12 resimpclauses = 20000
% 0.48/1.12 substype = eqrewr
% 0.48/1.12 backwardsubs = 1
% 0.48/1.12 selectoldest = 5
% 0.48/1.12
% 0.48/1.12 litorderings [0] = split
% 0.48/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.48/1.12
% 0.48/1.12 termordering = kbo
% 0.48/1.12
% 0.48/1.12 litapriori = 0
% 0.48/1.12 termapriori = 1
% 0.48/1.12 litaposteriori = 0
% 0.48/1.12 termaposteriori = 0
% 0.48/1.12 demodaposteriori = 0
% 0.48/1.12 ordereqreflfact = 0
% 0.48/1.12
% 0.48/1.12 litselect = negord
% 0.48/1.12
% 0.48/1.12 maxweight = 15
% 0.48/1.12 maxdepth = 30000
% 0.48/1.12 maxlength = 115
% 0.48/1.12 maxnrvars = 195
% 0.48/1.12 excuselevel = 1
% 0.48/1.12 increasemaxweight = 1
% 0.48/1.12
% 0.48/1.12 maxselected = 10000000
% 0.48/1.12 maxnrclauses = 10000000
% 0.48/1.12
% 0.48/1.12 showgenerated = 0
% 0.48/1.12 showkept = 0
% 0.48/1.12 showselected = 0
% 0.48/1.12 showdeleted = 0
% 0.48/1.12 showresimp = 1
% 0.48/1.12 showstatus = 2000
% 0.48/1.12
% 0.48/1.12 prologoutput = 1
% 0.48/1.12 nrgoals = 5000000
% 0.48/1.12 totalproof = 1
% 0.48/1.12
% 0.48/1.12 Symbols occurring in the translation:
% 0.48/1.12
% 0.48/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.48/1.12 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.48/1.12 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.48/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.12 divide [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.48/1.12 identity [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.48/1.12 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.48/1.12 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.48/1.12 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Starting Search:
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Bliksems!, er is een bewijs:
% 0.48/1.12 % SZS status Unsatisfiable
% 0.48/1.12 % SZS output start Refutation
% 0.48/1.12
% 0.48/1.12 clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.48/1.12 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 7, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X )
% 0.48/1.12 , Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 13, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X ) ]
% 0.48/1.12 )
% 0.48/1.12 .
% 0.48/1.12 clause( 16, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) ), X
% 0.48/1.12 ), Y ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.48/1.12 identity ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 38, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 48, [] )
% 0.48/1.12 .
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 % SZS output end Refutation
% 0.48/1.12 found a proof!
% 0.48/1.12
% 0.48/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.12
% 0.48/1.12 initialclauses(
% 0.48/1.12 [ clause( 50, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.48/1.12 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , clause( 51, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.48/1.12 )
% 0.48/1.12 , clause( 52, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.48/1.12 , clause( 53, [ =( identity, divide( X, X ) ) ] )
% 0.48/1.12 , clause( 54, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.48/1.12 ] ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.48/1.12 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , clause( 50, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.48/1.12 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 57, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.48/1.12 )
% 0.48/1.12 , clause( 51, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.48/1.12 )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 , clause( 57, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.48/1.12 )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 60, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , clause( 52, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , clause( 60, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 64, [ =( divide( X, X ), identity ) ] )
% 0.48/1.12 , clause( 53, [ =( identity, divide( X, X ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.48/1.12 , clause( 64, [ =( divide( X, X ), identity ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.48/1.12 , clause( 54, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.48/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 70, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.48/1.12 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 72, [ =( inverse( identity ), identity ) ] )
% 0.48/1.12 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.48/1.12 , 0, clause( 70, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.48/1.12 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.48/1.12 identity )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.48/1.12 , clause( 72, [ =( inverse( identity ), identity ) ] )
% 0.48/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 76, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.48/1.12 ] )
% 0.48/1.12 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.12 :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 , clause( 76, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 82, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.48/1.12 divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.48/1.12 , 0, clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.48/1.12 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.12 :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 84, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.48/1.12 inverse( X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , 0, clause( 82, [ =( divide( divide( identity, divide( X, divide( Y,
% 0.48/1.12 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.12 :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 86, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.48/1.12 ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , 0, clause( 84, [ =( divide( divide( identity, divide( X, divide( Y,
% 0.48/1.12 divide( inverse( X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , 0, 2, substitution( 0, [ :=( X, divide( X, divide( Y, divide( inverse( X
% 0.48/1.12 ), Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.48/1.12 ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 7, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X )
% 0.48/1.12 , Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , clause( 86, [ =( divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.48/1.12 X ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 89, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.48/1.12 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 90, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.48/1.12 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.48/1.12 , 0, clause( 89, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.48/1.12 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.48/1.12 identity )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.48/1.12 , clause( 90, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 92, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.48/1.12 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 94, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , 0, clause( 92, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.48/1.12 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.48/1.12 :=( X, identity ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , clause( 94, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 97, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.48/1.12 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 98, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.48/1.12 , clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , 0, clause( 97, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.48/1.12 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 99, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.48/1.12 , clause( 98, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.48/1.12 , clause( 99, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.48/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 101, [ =( Y, divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.48/1.12 X ), Z ) ) ) ), Z ) ) ] )
% 0.48/1.12 , clause( 7, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.48/1.12 ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 105, [ =( X, divide( inverse( divide( identity, divide( X, divide(
% 0.48/1.12 identity, Y ) ) ) ), Y ) ) ] )
% 0.48/1.12 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.48/1.12 , 0, clause( 101, [ =( Y, divide( inverse( divide( X, divide( Y, divide(
% 0.48/1.12 inverse( X ), Z ) ) ) ), Z ) ) ] )
% 0.48/1.12 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.48/1.12 , X ), :=( Z, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 107, [ =( X, divide( inverse( divide( identity, divide( X, inverse(
% 0.48/1.12 Y ) ) ) ), Y ) ) ] )
% 0.48/1.12 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , 0, clause( 105, [ =( X, divide( inverse( divide( identity, divide( X,
% 0.48/1.12 divide( identity, Y ) ) ) ), Y ) ) ] )
% 0.48/1.12 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.12 :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 109, [ =( X, divide( inverse( inverse( divide( X, inverse( Y ) ) )
% 0.48/1.12 ), Y ) ) ] )
% 0.48/1.12 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.48/1.12 , 0, clause( 107, [ =( X, divide( inverse( divide( identity, divide( X,
% 0.48/1.12 inverse( Y ) ) ) ), Y ) ) ] )
% 0.48/1.12 , 0, 4, substitution( 0, [ :=( X, divide( X, inverse( Y ) ) )] ),
% 0.48/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 110, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.48/1.12 ] )
% 0.48/1.12 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 , 0, clause( 109, [ =( X, divide( inverse( inverse( divide( X, inverse( Y )
% 0.48/1.12 ) ) ), Y ) ) ] )
% 0.48/1.12 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 111, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X )
% 0.48/1.12 ] )
% 0.48/1.12 , clause( 110, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y )
% 0.48/1.12 ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 13, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X ) ]
% 0.48/1.12 )
% 0.48/1.12 , clause( 111, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X
% 0.48/1.12 ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 113, [ =( Y, divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.48/1.12 X ), Z ) ) ) ), Z ) ) ] )
% 0.48/1.12 , clause( 7, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.48/1.12 ), Z ) ) ) ), Z ), Y ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 116, [ =( X, divide( inverse( divide( Y, divide( X, identity ) ) )
% 0.48/1.12 , inverse( Y ) ) ) ] )
% 0.48/1.12 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.48/1.12 , 0, clause( 113, [ =( Y, divide( inverse( divide( X, divide( Y, divide(
% 0.48/1.12 inverse( X ), Z ) ) ) ), Z ) ) ] )
% 0.48/1.12 , 0, 8, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.48/1.12 :=( X, Y ), :=( Y, X ), :=( Z, inverse( Y ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 117, [ =( X, multiply( inverse( divide( Y, divide( X, identity ) )
% 0.48/1.12 ), Y ) ) ] )
% 0.48/1.12 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.48/1.12 , 0, clause( 116, [ =( X, divide( inverse( divide( Y, divide( X, identity )
% 0.48/1.12 ) ), inverse( Y ) ) ) ] )
% 0.48/1.12 , 0, 2, substitution( 0, [ :=( X, inverse( divide( Y, divide( X, identity )
% 0.48/1.12 ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 118, [ =( multiply( inverse( divide( Y, divide( X, identity ) ) ),
% 0.48/1.12 Y ), X ) ] )
% 0.48/1.12 , clause( 117, [ =( X, multiply( inverse( divide( Y, divide( X, identity )
% 0.48/1.12 ) ), Y ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 16, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) ), X
% 0.48/1.12 ), Y ) ] )
% 0.48/1.12 , clause( 118, [ =( multiply( inverse( divide( Y, divide( X, identity ) ) )
% 0.48/1.12 , Y ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 120, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.48/1.12 ] )
% 0.48/1.12 , clause( 13, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X )
% 0.48/1.12 ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 123, [ =( X, divide( inverse( inverse( divide( X, identity ) ) ),
% 0.48/1.12 identity ) ) ] )
% 0.48/1.12 , clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.48/1.12 , 0, clause( 120, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y
% 0.48/1.12 ) ) ] )
% 0.48/1.12 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.12 :=( Y, identity )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 124, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.48/1.12 identity ), X ) ] )
% 0.48/1.12 , clause( 123, [ =( X, divide( inverse( inverse( divide( X, identity ) ) )
% 0.48/1.12 , identity ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.48/1.12 identity ), X ) ] )
% 0.48/1.12 , clause( 124, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.48/1.12 identity ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 126, [ =( Y, multiply( inverse( divide( X, divide( Y, identity ) )
% 0.48/1.12 ), X ) ) ] )
% 0.48/1.12 , clause( 16, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) )
% 0.48/1.12 , X ), Y ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 129, [ =( X, multiply( inverse( identity ), divide( X, identity ) )
% 0.48/1.12 ) ] )
% 0.48/1.12 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.48/1.12 , 0, clause( 126, [ =( Y, multiply( inverse( divide( X, divide( Y, identity
% 0.48/1.12 ) ) ), X ) ) ] )
% 0.48/1.12 , 0, 4, substitution( 0, [ :=( X, divide( X, identity ) )] ),
% 0.48/1.12 substitution( 1, [ :=( X, divide( X, identity ) ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 131, [ =( X, multiply( identity, divide( X, identity ) ) ) ] )
% 0.48/1.12 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.48/1.12 , 0, clause( 129, [ =( X, multiply( inverse( identity ), divide( X,
% 0.48/1.12 identity ) ) ) ] )
% 0.48/1.12 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 132, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.48/1.12 , clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , 0, clause( 131, [ =( X, multiply( identity, divide( X, identity ) ) ) ]
% 0.48/1.12 )
% 0.48/1.12 , 0, 2, substitution( 0, [ :=( X, divide( X, identity ) )] ),
% 0.48/1.12 substitution( 1, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 133, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.48/1.12 , clause( 132, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 38, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.48/1.12 , clause( 133, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 135, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.48/1.12 , clause( 38, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 138, [ =( inverse( inverse( divide( X, identity ) ) ), inverse(
% 0.48/1.12 inverse( X ) ) ) ] )
% 0.48/1.12 , clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.48/1.12 identity ), X ) ] )
% 0.48/1.12 , 0, clause( 135, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ]
% 0.48/1.12 )
% 0.48/1.12 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.48/1.12 inverse( divide( X, identity ) ) ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 139, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , clause( 38, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.48/1.12 , 0, clause( 138, [ =( inverse( inverse( divide( X, identity ) ) ), inverse(
% 0.48/1.12 inverse( X ) ) ) ] )
% 0.48/1.12 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.48/1.12 ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 140, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.12 , clause( 139, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.12 , clause( 140, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 141, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 142, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.48/1.12 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 resolution(
% 0.48/1.12 clause( 143, [] )
% 0.48/1.12 , clause( 142, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.48/1.12 , 0, clause( 141, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 48, [] )
% 0.48/1.12 , clause( 143, [] )
% 0.48/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 end.
% 0.48/1.12
% 0.48/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.12
% 0.48/1.12 Memory use:
% 0.48/1.12
% 0.48/1.12 space for terms: 602
% 0.48/1.12 space for clauses: 5492
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 clauses generated: 141
% 0.48/1.12 clauses kept: 49
% 0.48/1.12 clauses selected: 18
% 0.48/1.12 clauses deleted: 2
% 0.48/1.12 clauses inuse deleted: 0
% 0.48/1.12
% 0.48/1.12 subsentry: 237
% 0.48/1.12 literals s-matched: 92
% 0.48/1.12 literals matched: 92
% 0.48/1.12 full subsumption: 0
% 0.48/1.12
% 0.48/1.12 checksum: 158936027
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Bliksem ended
%------------------------------------------------------------------------------