TSTP Solution File: ALG007-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:09:03 EDT 2022
% Result : Unsatisfiable 0.72s 1.15s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n021.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 : Wed Jun 8 12:47:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.15 *** allocated 10000 integers for termspace/termends
% 0.72/1.15 *** allocated 10000 integers for clauses
% 0.72/1.15 *** allocated 10000 integers for justifications
% 0.72/1.15 Bliksem 1.12
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Automatic Strategy Selection
% 0.72/1.15
% 0.72/1.15 Clauses:
% 0.72/1.15 [
% 0.72/1.15 [ =( difference( X, difference( Y, X ) ), X ) ],
% 0.72/1.15 [ =( difference( X, difference( X, Y ) ), difference( Y, difference( Y,
% 0.72/1.15 X ) ) ) ],
% 0.72/1.15 [ =( difference( difference( X, Y ), Z ), difference( difference( X, Z )
% 0.72/1.15 , Y ) ) ],
% 0.72/1.15 [ ~( =( difference( difference( a, b ), c ), difference( difference( a,
% 0.72/1.15 c ), difference( b, c ) ) ) ) ]
% 0.72/1.15 ] .
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.15 This is a pure equality problem
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Options Used:
% 0.72/1.15
% 0.72/1.15 useres = 1
% 0.72/1.15 useparamod = 1
% 0.72/1.15 useeqrefl = 1
% 0.72/1.15 useeqfact = 1
% 0.72/1.15 usefactor = 1
% 0.72/1.15 usesimpsplitting = 0
% 0.72/1.15 usesimpdemod = 5
% 0.72/1.15 usesimpres = 3
% 0.72/1.15
% 0.72/1.15 resimpinuse = 1000
% 0.72/1.15 resimpclauses = 20000
% 0.72/1.15 substype = eqrewr
% 0.72/1.15 backwardsubs = 1
% 0.72/1.15 selectoldest = 5
% 0.72/1.15
% 0.72/1.15 litorderings [0] = split
% 0.72/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.15
% 0.72/1.15 termordering = kbo
% 0.72/1.15
% 0.72/1.15 litapriori = 0
% 0.72/1.15 termapriori = 1
% 0.72/1.15 litaposteriori = 0
% 0.72/1.15 termaposteriori = 0
% 0.72/1.15 demodaposteriori = 0
% 0.72/1.15 ordereqreflfact = 0
% 0.72/1.15
% 0.72/1.15 litselect = negord
% 0.72/1.15
% 0.72/1.15 maxweight = 15
% 0.72/1.15 maxdepth = 30000
% 0.72/1.15 maxlength = 115
% 0.72/1.15 maxnrvars = 195
% 0.72/1.15 excuselevel = 1
% 0.72/1.15 increasemaxweight = 1
% 0.72/1.15
% 0.72/1.15 maxselected = 10000000
% 0.72/1.15 maxnrclauses = 10000000
% 0.72/1.15
% 0.72/1.15 showgenerated = 0
% 0.72/1.15 showkept = 0
% 0.72/1.15 showselected = 0
% 0.72/1.15 showdeleted = 0
% 0.72/1.15 showresimp = 1
% 0.72/1.15 showstatus = 2000
% 0.72/1.15
% 0.72/1.15 prologoutput = 1
% 0.72/1.15 nrgoals = 5000000
% 0.72/1.15 totalproof = 1
% 0.72/1.15
% 0.72/1.15 Symbols occurring in the translation:
% 0.72/1.15
% 0.72/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.15 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.15 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.15 difference [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.15 a [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.15 b [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.15 c [45, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Starting Search:
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Bliksems!, er is een bewijs:
% 0.72/1.15 % SZS status Unsatisfiable
% 0.72/1.15 % SZS output start Refutation
% 0.72/1.15
% 0.72/1.15 clause( 0, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 1, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 2, [ =( difference( difference( X, Y ), Z ), difference( difference(
% 0.72/1.15 X, Z ), Y ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 3, [ ~( =( difference( difference( a, c ), difference( b, c ) ),
% 0.72/1.15 difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 4, [ =( difference( difference( Y, X ), X ), difference( Y, X ) ) ]
% 0.72/1.15 )
% 0.72/1.15 .
% 0.72/1.15 clause( 8, [ =( difference( Z, difference( difference( X, Z ), Y ) ), Z ) ]
% 0.72/1.15 )
% 0.72/1.15 .
% 0.72/1.15 clause( 9, [ =( difference( difference( X, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( X, Z ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 14, [ =( difference( difference( Y, X ), difference( X, Z ) ),
% 0.72/1.15 difference( Y, X ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 16, [ =( difference( difference( X, difference( Y, Z ) ), Y ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 22, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, difference( difference( X, Y ), Z ) ), Y ) ) ]
% 0.72/1.15 )
% 0.72/1.15 .
% 0.72/1.15 clause( 23, [ =( difference( difference( Y, difference( Y, X ) ), Z ),
% 0.72/1.15 difference( difference( X, Z ), difference( X, Y ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 24, [ =( difference( difference( X, Y ), difference( difference( X
% 0.72/1.15 , Z ), Y ) ), difference( Z, difference( Z, difference( X, Y ) ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 25, [ =( difference( difference( X, Y ), difference( X, Y ) ),
% 0.72/1.15 difference( Y, Y ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 27, [ =( difference( Y, Y ), difference( X, X ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 29, [ =( difference( difference( difference( Y, Z ), T ),
% 0.72/1.15 difference( X, Y ) ), difference( difference( Y, Z ), T ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 32, [ =( difference( Y, difference( Z, Z ) ), Y ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 39, [ ~( =( difference( difference( a, difference( b, c ) ), c ),
% 0.72/1.15 difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 117, [ =( difference( difference( Y, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( difference( X, Z ), difference( X, Y ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 119, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, Y ), difference( X, Z ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 120, [ =( difference( X, difference( difference( Y, Z ), difference(
% 0.72/1.15 Y, X ) ) ), difference( X, difference( Y, Z ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 121, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( Z, Y ), difference( Z, X ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 122, [ =( difference( difference( X, difference( Z, Y ) ), Y ),
% 0.72/1.15 difference( difference( X, Z ), Y ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 123, [] )
% 0.72/1.15 .
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 % SZS output end Refutation
% 0.72/1.15 found a proof!
% 0.72/1.15
% 0.72/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.15
% 0.72/1.15 initialclauses(
% 0.72/1.15 [ clause( 125, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , clause( 126, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , clause( 127, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , clause( 128, [ ~( =( difference( difference( a, b ), c ), difference(
% 0.72/1.15 difference( a, c ), difference( b, c ) ) ) ) ] )
% 0.72/1.15 ] ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 0, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , clause( 125, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.15 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 1, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , clause( 126, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.15 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 2, [ =( difference( difference( X, Y ), Z ), difference( difference(
% 0.72/1.15 X, Z ), Y ) ) ] )
% 0.72/1.15 , clause( 127, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 133, [ ~( =( difference( difference( a, c ), difference( b, c ) ),
% 0.72/1.15 difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 , clause( 128, [ ~( =( difference( difference( a, b ), c ), difference(
% 0.72/1.15 difference( a, c ), difference( b, c ) ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 3, [ ~( =( difference( difference( a, c ), difference( b, c ) ),
% 0.72/1.15 difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 , clause( 133, [ ~( =( difference( difference( a, c ), difference( b, c ) )
% 0.72/1.15 , difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 134, [ =( X, difference( X, difference( Y, X ) ) ) ] )
% 0.72/1.15 , clause( 0, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 137, [ =( difference( X, Y ), difference( difference( X, Y ), Y ) )
% 0.72/1.15 ] )
% 0.72/1.15 , clause( 0, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , 0, clause( 134, [ =( X, difference( X, difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.15 :=( X, difference( X, Y ) ), :=( Y, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 138, [ =( difference( difference( X, Y ), Y ), difference( X, Y ) )
% 0.72/1.15 ] )
% 0.72/1.15 , clause( 137, [ =( difference( X, Y ), difference( difference( X, Y ), Y )
% 0.72/1.15 ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 4, [ =( difference( difference( Y, X ), X ), difference( Y, X ) ) ]
% 0.72/1.15 )
% 0.72/1.15 , clause( 138, [ =( difference( difference( X, Y ), Y ), difference( X, Y )
% 0.72/1.15 ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.15 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 139, [ =( X, difference( X, difference( Y, X ) ) ) ] )
% 0.72/1.15 , clause( 0, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 141, [ =( X, difference( X, difference( difference( Y, X ), Z ) ) )
% 0.72/1.15 ] )
% 0.72/1.15 , clause( 2, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , 0, clause( 139, [ =( X, difference( X, difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.15 substitution( 1, [ :=( X, X ), :=( Y, difference( Y, Z ) )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 147, [ =( difference( X, difference( difference( Y, X ), Z ) ), X )
% 0.72/1.15 ] )
% 0.72/1.15 , clause( 141, [ =( X, difference( X, difference( difference( Y, X ), Z ) )
% 0.72/1.15 ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 8, [ =( difference( Z, difference( difference( X, Z ), Y ) ), Z ) ]
% 0.72/1.15 )
% 0.72/1.15 , clause( 147, [ =( difference( X, difference( difference( Y, X ), Z ) ), X
% 0.72/1.15 ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 160, [ =( difference( difference( X, Y ), difference( Z, X ) ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 , clause( 0, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , 0, clause( 2, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.15 :=( X, X ), :=( Y, Y ), :=( Z, difference( Z, X ) )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 9, [ =( difference( difference( X, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( X, Z ) ) ] )
% 0.72/1.15 , clause( 160, [ =( difference( difference( X, Y ), difference( Z, X ) ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 162, [ =( X, difference( X, difference( difference( Y, X ), Z ) ) )
% 0.72/1.15 ] )
% 0.72/1.15 , clause( 8, [ =( difference( Z, difference( difference( X, Z ), Y ) ), Z )
% 0.72/1.15 ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 168, [ =( difference( X, Y ), difference( difference( X, Y ),
% 0.72/1.15 difference( Y, Z ) ) ) ] )
% 0.72/1.15 , clause( 0, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , 0, clause( 162, [ =( X, difference( X, difference( difference( Y, X ), Z
% 0.72/1.15 ) ) ) ] )
% 0.72/1.15 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.15 :=( X, difference( X, Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 170, [ =( difference( difference( X, Y ), difference( Y, Z ) ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 , clause( 168, [ =( difference( X, Y ), difference( difference( X, Y ),
% 0.72/1.15 difference( Y, Z ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 14, [ =( difference( difference( Y, X ), difference( X, Z ) ),
% 0.72/1.15 difference( Y, X ) ) ] )
% 0.72/1.15 , clause( 170, [ =( difference( difference( X, Y ), difference( Y, Z ) ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 171, [ =( difference( X, Y ), difference( difference( X, Y ),
% 0.72/1.15 difference( Y, Z ) ) ) ] )
% 0.72/1.15 , clause( 14, [ =( difference( difference( Y, X ), difference( X, Z ) ),
% 0.72/1.15 difference( Y, X ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 174, [ =( difference( X, Y ), difference( difference( X, difference(
% 0.72/1.15 Y, Z ) ), Y ) ) ] )
% 0.72/1.15 , clause( 2, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , 0, clause( 171, [ =( difference( X, Y ), difference( difference( X, Y ),
% 0.72/1.15 difference( Y, Z ) ) ) ] )
% 0.72/1.15 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, difference( Y, Z
% 0.72/1.15 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 198, [ =( difference( difference( X, difference( Y, Z ) ), Y ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 , clause( 174, [ =( difference( X, Y ), difference( difference( X,
% 0.72/1.15 difference( Y, Z ) ), Y ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 16, [ =( difference( difference( X, difference( Y, Z ) ), Y ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 , clause( 198, [ =( difference( difference( X, difference( Y, Z ) ), Y ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 201, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, difference( difference( X, Y ), Z ) ), Y ) ) ]
% 0.72/1.15 )
% 0.72/1.15 , clause( 1, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, clause( 2, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , 0, 1, substitution( 0, [ :=( X, difference( X, Y ) ), :=( Y, Z )] ),
% 0.72/1.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, difference( difference(
% 0.72/1.15 X, Y ), Z ) )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 22, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, difference( difference( X, Y ), Z ) ), Y ) ) ]
% 0.72/1.15 )
% 0.72/1.15 , clause( 201, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, difference( difference( X, Y ), Z ) ), Y ) ) ]
% 0.72/1.15 )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 210, [ =( difference( difference( Y, difference( Y, X ) ), Z ),
% 0.72/1.15 difference( difference( X, Z ), difference( X, Y ) ) ) ] )
% 0.72/1.15 , clause( 1, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, clause( 2, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.15 :=( X, X ), :=( Y, difference( X, Y ) ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 23, [ =( difference( difference( Y, difference( Y, X ) ), Z ),
% 0.72/1.15 difference( difference( X, Z ), difference( X, Y ) ) ) ] )
% 0.72/1.15 , clause( 210, [ =( difference( difference( Y, difference( Y, X ) ), Z ),
% 0.72/1.15 difference( difference( X, Z ), difference( X, Y ) ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 218, [ =( difference( difference( X, Y ), difference( difference( X
% 0.72/1.15 , Z ), Y ) ), difference( Z, difference( Z, difference( X, Y ) ) ) ) ] )
% 0.72/1.15 , clause( 2, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , 0, clause( 1, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 substitution( 1, [ :=( X, difference( X, Y ) ), :=( Y, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 24, [ =( difference( difference( X, Y ), difference( difference( X
% 0.72/1.15 , Z ), Y ) ), difference( Z, difference( Z, difference( X, Y ) ) ) ) ] )
% 0.72/1.15 , clause( 218, [ =( difference( difference( X, Y ), difference( difference(
% 0.72/1.15 X, Z ), Y ) ), difference( Z, difference( Z, difference( X, Y ) ) ) ) ]
% 0.72/1.15 )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 232, [ =( difference( X, difference( X, difference( Y, X ) ) ),
% 0.72/1.15 difference( difference( Y, X ), difference( Y, X ) ) ) ] )
% 0.72/1.15 , clause( 4, [ =( difference( difference( Y, X ), X ), difference( Y, X ) )
% 0.72/1.15 ] )
% 0.72/1.15 , 0, clause( 1, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.15 :=( X, X ), :=( Y, difference( Y, X ) )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 233, [ =( difference( X, X ), difference( difference( Y, X ),
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , clause( 0, [ =( difference( X, difference( Y, X ) ), X ) ] )
% 0.72/1.15 , 0, clause( 232, [ =( difference( X, difference( X, difference( Y, X ) ) )
% 0.72/1.15 , difference( difference( Y, X ), difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.15 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 234, [ =( difference( difference( Y, X ), difference( Y, X ) ),
% 0.72/1.15 difference( X, X ) ) ] )
% 0.72/1.15 , clause( 233, [ =( difference( X, X ), difference( difference( Y, X ),
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 25, [ =( difference( difference( X, Y ), difference( X, Y ) ),
% 0.72/1.15 difference( Y, Y ) ) ] )
% 0.72/1.15 , clause( 234, [ =( difference( difference( Y, X ), difference( Y, X ) ),
% 0.72/1.15 difference( X, X ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.15 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 251, [ =( difference( difference( X, Y ), difference( difference( X
% 0.72/1.15 , Y ), difference( Y, Z ) ) ), difference( difference( Y, Z ), difference(
% 0.72/1.15 Y, Z ) ) ) ] )
% 0.72/1.15 , clause( 9, [ =( difference( difference( X, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( X, Z ) ) ] )
% 0.72/1.15 , 0, clause( 1, [ =( difference( X, difference( X, Y ) ), difference( Y,
% 0.72/1.15 difference( Y, X ) ) ) ] )
% 0.72/1.15 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.15 substitution( 1, [ :=( X, difference( X, Y ) ), :=( Y, difference( Y, Z )
% 0.72/1.15 )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 252, [ =( difference( difference( X, Y ), difference( difference( X
% 0.72/1.15 , Y ), difference( Y, Z ) ) ), difference( Z, Z ) ) ] )
% 0.72/1.15 , clause( 25, [ =( difference( difference( X, Y ), difference( X, Y ) ),
% 0.72/1.15 difference( Y, Y ) ) ] )
% 0.72/1.15 , 0, clause( 251, [ =( difference( difference( X, Y ), difference(
% 0.72/1.15 difference( X, Y ), difference( Y, Z ) ) ), difference( difference( Y, Z
% 0.72/1.15 ), difference( Y, Z ) ) ) ] )
% 0.72/1.15 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 253, [ =( difference( difference( X, Y ), difference( X, Y ) ),
% 0.72/1.15 difference( Z, Z ) ) ] )
% 0.72/1.15 , clause( 14, [ =( difference( difference( Y, X ), difference( X, Z ) ),
% 0.72/1.15 difference( Y, X ) ) ] )
% 0.72/1.15 , 0, clause( 252, [ =( difference( difference( X, Y ), difference(
% 0.72/1.15 difference( X, Y ), difference( Y, Z ) ) ), difference( Z, Z ) ) ] )
% 0.72/1.15 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 254, [ =( difference( Y, Y ), difference( Z, Z ) ) ] )
% 0.72/1.15 , clause( 25, [ =( difference( difference( X, Y ), difference( X, Y ) ),
% 0.72/1.15 difference( Y, Y ) ) ] )
% 0.72/1.15 , 0, clause( 253, [ =( difference( difference( X, Y ), difference( X, Y ) )
% 0.72/1.15 , difference( Z, Z ) ) ] )
% 0.72/1.15 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 27, [ =( difference( Y, Y ), difference( X, X ) ) ] )
% 0.72/1.15 , clause( 254, [ =( difference( Y, Y ), difference( Z, Z ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 256, [ =( difference( X, Y ), difference( difference( X, Y ),
% 0.72/1.15 difference( Z, X ) ) ) ] )
% 0.72/1.15 , clause( 9, [ =( difference( difference( X, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( X, Z ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 269, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( difference( X, Y ), Z ), difference( T, X ) ) ) ] )
% 0.72/1.15 , clause( 14, [ =( difference( difference( Y, X ), difference( X, Z ) ),
% 0.72/1.15 difference( Y, X ) ) ] )
% 0.72/1.15 , 0, clause( 256, [ =( difference( X, Y ), difference( difference( X, Y ),
% 0.72/1.15 difference( Z, X ) ) ) ] )
% 0.72/1.15 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y )] ),
% 0.72/1.15 substitution( 1, [ :=( X, difference( X, Y ) ), :=( Y, Z ), :=( Z,
% 0.72/1.15 difference( T, X ) )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 274, [ =( difference( difference( difference( X, Y ), Z ),
% 0.72/1.15 difference( T, X ) ), difference( difference( X, Y ), Z ) ) ] )
% 0.72/1.15 , clause( 269, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( difference( X, Y ), Z ), difference( T, X ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.15 ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 29, [ =( difference( difference( difference( Y, Z ), T ),
% 0.72/1.15 difference( X, Y ) ), difference( difference( Y, Z ), T ) ) ] )
% 0.72/1.15 , clause( 274, [ =( difference( difference( difference( X, Y ), Z ),
% 0.72/1.15 difference( T, X ) ), difference( difference( X, Y ), Z ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 275, [ =( X, difference( X, difference( difference( Y, X ), Z ) ) )
% 0.72/1.15 ] )
% 0.72/1.15 , clause( 8, [ =( difference( Z, difference( difference( X, Z ), Y ) ), Z )
% 0.72/1.15 ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 276, [ =( X, difference( X, difference( Z, Z ) ) ) ] )
% 0.72/1.15 , clause( 27, [ =( difference( Y, Y ), difference( X, X ) ) ] )
% 0.72/1.15 , 0, clause( 275, [ =( X, difference( X, difference( difference( Y, X ), Z
% 0.72/1.15 ) ) ) ] )
% 0.72/1.15 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, difference( Y, X ) )] ),
% 0.72/1.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, difference( Y, X ) )] )
% 0.72/1.15 ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 278, [ =( difference( X, difference( Y, Y ) ), X ) ] )
% 0.72/1.15 , clause( 276, [ =( X, difference( X, difference( Z, Z ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 32, [ =( difference( Y, difference( Z, Z ) ), Y ) ] )
% 0.72/1.15 , clause( 278, [ =( difference( X, difference( Y, Y ) ), X ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.15 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 280, [ ~( =( difference( difference( a, b ), c ), difference(
% 0.72/1.15 difference( a, c ), difference( b, c ) ) ) ) ] )
% 0.72/1.15 , clause( 3, [ ~( =( difference( difference( a, c ), difference( b, c ) ),
% 0.72/1.15 difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 282, [ ~( =( difference( difference( a, b ), c ), difference(
% 0.72/1.15 difference( a, difference( b, c ) ), c ) ) ) ] )
% 0.72/1.15 , clause( 2, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , 0, clause( 280, [ ~( =( difference( difference( a, b ), c ), difference(
% 0.72/1.15 difference( a, c ), difference( b, c ) ) ) ) ] )
% 0.72/1.15 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, c ), :=( Z, difference( b, c
% 0.72/1.15 ) )] ), substitution( 1, [] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 288, [ ~( =( difference( difference( a, difference( b, c ) ), c ),
% 0.72/1.15 difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 , clause( 282, [ ~( =( difference( difference( a, b ), c ), difference(
% 0.72/1.15 difference( a, difference( b, c ) ), c ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 39, [ ~( =( difference( difference( a, difference( b, c ) ), c ),
% 0.72/1.15 difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 , clause( 288, [ ~( =( difference( difference( a, difference( b, c ) ), c )
% 0.72/1.15 , difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 289, [ =( difference( difference( Y, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( difference( X, difference( X, Y ) ), Z ) ) ] )
% 0.72/1.15 , clause( 23, [ =( difference( difference( Y, difference( Y, X ) ), Z ),
% 0.72/1.15 difference( difference( X, Z ), difference( X, Y ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 296, [ =( difference( difference( X, Y ), difference( X, Z ) ),
% 0.72/1.15 difference( difference( Z, Y ), difference( Z, X ) ) ) ] )
% 0.72/1.15 , clause( 2, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.15 difference( X, Z ), Y ) ) ] )
% 0.72/1.15 , 0, clause( 289, [ =( difference( difference( Y, Z ), difference( Y, X ) )
% 0.72/1.15 , difference( difference( X, difference( X, Y ) ), Z ) ) ] )
% 0.72/1.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, difference( Z, X ) ), :=( Z,
% 0.72/1.15 Y )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 117, [ =( difference( difference( Y, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( difference( X, Z ), difference( X, Y ) ) ) ] )
% 0.72/1.15 , clause( 296, [ =( difference( difference( X, Y ), difference( X, Z ) ),
% 0.72/1.15 difference( difference( Z, Y ), difference( Z, X ) ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 338, [ =( difference( X, Y ), difference( difference( X, difference(
% 0.72/1.15 Y, Z ) ), Y ) ) ] )
% 0.72/1.15 , clause( 16, [ =( difference( difference( X, difference( Y, Z ) ), Y ),
% 0.72/1.15 difference( X, Y ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 355, [ =( difference( difference( X, Y ), difference( X, Z ) ),
% 0.72/1.15 difference( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( X, Z ) ) ) ] )
% 0.72/1.15 , clause( 24, [ =( difference( difference( X, Y ), difference( difference(
% 0.72/1.15 X, Z ), Y ) ), difference( Z, difference( Z, difference( X, Y ) ) ) ) ]
% 0.72/1.15 )
% 0.72/1.15 , 0, clause( 338, [ =( difference( X, Y ), difference( difference( X,
% 0.72/1.15 difference( Y, Z ) ), Y ) ) ] )
% 0.72/1.15 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 substitution( 1, [ :=( X, difference( X, Y ) ), :=( Y, difference( X, Z )
% 0.72/1.15 ), :=( Z, Y )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 357, [ =( difference( difference( X, Y ), difference( X, Z ) ),
% 0.72/1.15 difference( Z, difference( Z, difference( X, Y ) ) ) ) ] )
% 0.72/1.15 , clause( 9, [ =( difference( difference( X, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( X, Z ) ) ] )
% 0.72/1.15 , 0, clause( 355, [ =( difference( difference( X, Y ), difference( X, Z ) )
% 0.72/1.15 , difference( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( X, Z ) ) ) ] )
% 0.72/1.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, difference( Z,
% 0.72/1.15 difference( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.72/1.15 :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 358, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, Y ), difference( X, Z ) ) ) ] )
% 0.72/1.15 , clause( 357, [ =( difference( difference( X, Y ), difference( X, Z ) ),
% 0.72/1.15 difference( Z, difference( Z, difference( X, Y ) ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 119, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, Y ), difference( X, Z ) ) ) ] )
% 0.72/1.15 , clause( 358, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, Y ), difference( X, Z ) ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 359, [ =( difference( difference( Y, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( X, difference( X, difference( Y, Z ) ) ) ) ] )
% 0.72/1.15 , clause( 119, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, Y ), difference( X, Z ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 393, [ =( difference( difference( X, difference( Y, Z ) ),
% 0.72/1.15 difference( X, X ) ), difference( X, difference( difference( Y, Z ),
% 0.72/1.15 difference( Y, X ) ) ) ) ] )
% 0.72/1.15 , clause( 119, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, Y ), difference( X, Z ) ) ) ] )
% 0.72/1.15 , 0, clause( 359, [ =( difference( difference( Y, Z ), difference( Y, X ) )
% 0.72/1.15 , difference( X, difference( X, difference( Y, Z ) ) ) ) ] )
% 0.72/1.15 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.15 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, difference( Y, Z ) )] )
% 0.72/1.15 ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 400, [ =( difference( X, difference( Y, Z ) ), difference( X,
% 0.72/1.15 difference( difference( Y, Z ), difference( Y, X ) ) ) ) ] )
% 0.72/1.15 , clause( 32, [ =( difference( Y, difference( Z, Z ) ), Y ) ] )
% 0.72/1.15 , 0, clause( 393, [ =( difference( difference( X, difference( Y, Z ) ),
% 0.72/1.15 difference( X, X ) ), difference( X, difference( difference( Y, Z ),
% 0.72/1.15 difference( Y, X ) ) ) ) ] )
% 0.72/1.15 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, difference( X, difference( Y
% 0.72/1.15 , Z ) ) ), :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.72/1.15 Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 401, [ =( difference( X, difference( difference( Y, Z ), difference(
% 0.72/1.15 Y, X ) ) ), difference( X, difference( Y, Z ) ) ) ] )
% 0.72/1.15 , clause( 400, [ =( difference( X, difference( Y, Z ) ), difference( X,
% 0.72/1.15 difference( difference( Y, Z ), difference( Y, X ) ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 120, [ =( difference( X, difference( difference( Y, Z ), difference(
% 0.72/1.15 Y, X ) ) ), difference( X, difference( Y, Z ) ) ) ] )
% 0.72/1.15 , clause( 401, [ =( difference( X, difference( difference( Y, Z ),
% 0.72/1.15 difference( Y, X ) ) ), difference( X, difference( Y, Z ) ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 eqswap(
% 0.72/1.15 clause( 402, [ =( difference( difference( Y, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( X, difference( X, difference( Y, Z ) ) ) ) ] )
% 0.72/1.15 , clause( 119, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( X, Y ), difference( X, Z ) ) ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 paramod(
% 0.72/1.15 clause( 403, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.15 difference( difference( Z, Y ), difference( Z, X ) ) ) ] )
% 0.72/1.15 , clause( 402, [ =( difference( difference( Y, Z ), difference( Y, X ) ),
% 0.72/1.15 difference( X, difference( X, difference( Y, Z ) ) ) ) ] )
% 0.72/1.15 , 0, clause( 117, [ =( difference( difference( Y, Z ), difference( Y, X ) )
% 0.72/1.16 , difference( difference( X, Z ), difference( X, Y ) ) ) ] )
% 0.72/1.16 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.16 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 subsumption(
% 0.72/1.16 clause( 121, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.16 difference( difference( Z, Y ), difference( Z, X ) ) ) ] )
% 0.72/1.16 , clause( 403, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.16 difference( difference( Z, Y ), difference( Z, X ) ) ) ] )
% 0.72/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 eqswap(
% 0.72/1.16 clause( 415, [ =( difference( difference( Y, Z ), difference( Y, X ) ),
% 0.72/1.16 difference( X, difference( X, difference( Y, Z ) ) ) ) ] )
% 0.72/1.16 , clause( 119, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.16 difference( difference( X, Y ), difference( X, Z ) ) ) ] )
% 0.72/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 eqswap(
% 0.72/1.16 clause( 416, [ =( difference( difference( Y, difference( difference( Y, Z )
% 0.72/1.16 , X ) ), Z ), difference( X, difference( X, difference( Y, Z ) ) ) ) ] )
% 0.72/1.16 , clause( 22, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.16 difference( difference( X, difference( difference( X, Y ), Z ) ), Y ) ) ]
% 0.72/1.16 )
% 0.72/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 paramod(
% 0.72/1.16 clause( 422, [ =( difference( difference( X, difference( Z, difference( Z,
% 0.72/1.16 difference( X, Y ) ) ) ), Y ), difference( difference( X, Z ), difference(
% 0.72/1.16 difference( X, Z ), difference( X, Y ) ) ) ) ] )
% 0.72/1.16 , clause( 415, [ =( difference( difference( Y, Z ), difference( Y, X ) ),
% 0.72/1.16 difference( X, difference( X, difference( Y, Z ) ) ) ) ] )
% 0.72/1.16 , 0, clause( 416, [ =( difference( difference( Y, difference( difference( Y
% 0.72/1.16 , Z ), X ) ), Z ), difference( X, difference( X, difference( Y, Z ) ) ) )
% 0.72/1.16 ] )
% 0.72/1.16 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.16 substitution( 1, [ :=( X, difference( X, Z ) ), :=( Y, X ), :=( Z, Y )] )
% 0.72/1.16 ).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 paramod(
% 0.72/1.16 clause( 446, [ =( difference( difference( X, difference( Y, difference( Y,
% 0.72/1.16 difference( X, Z ) ) ) ), Z ), difference( difference( difference( X, Y )
% 0.72/1.16 , Z ), difference( difference( X, Y ), X ) ) ) ] )
% 0.72/1.16 , clause( 121, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.16 difference( difference( Z, Y ), difference( Z, X ) ) ) ] )
% 0.72/1.16 , 0, clause( 422, [ =( difference( difference( X, difference( Z, difference(
% 0.72/1.16 Z, difference( X, Y ) ) ) ), Y ), difference( difference( X, Z ),
% 0.72/1.16 difference( difference( X, Z ), difference( X, Y ) ) ) ) ] )
% 0.72/1.16 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, difference( X, Y
% 0.72/1.16 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 paramod(
% 0.72/1.16 clause( 448, [ =( difference( difference( X, difference( Y, difference( Y,
% 0.72/1.16 difference( X, Z ) ) ) ), Z ), difference( difference( X, Y ), Z ) ) ] )
% 0.72/1.16 , clause( 29, [ =( difference( difference( difference( Y, Z ), T ),
% 0.72/1.16 difference( X, Y ) ), difference( difference( Y, Z ), T ) ) ] )
% 0.72/1.16 , 0, clause( 446, [ =( difference( difference( X, difference( Y, difference(
% 0.72/1.16 Y, difference( X, Z ) ) ) ), Z ), difference( difference( difference( X,
% 0.72/1.16 Y ), Z ), difference( difference( X, Y ), X ) ) ) ] )
% 0.72/1.16 , 0, 12, substitution( 0, [ :=( X, difference( X, Y ) ), :=( Y, X ), :=( Z
% 0.72/1.16 , Y ), :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 0.72/1.16 )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 paramod(
% 0.72/1.16 clause( 449, [ =( difference( difference( X, difference( difference( Y, Z )
% 0.72/1.16 , difference( Y, X ) ) ), Z ), difference( difference( X, Y ), Z ) ) ] )
% 0.72/1.16 , clause( 121, [ =( difference( Z, difference( Z, difference( X, Y ) ) ),
% 0.72/1.16 difference( difference( Z, Y ), difference( Z, X ) ) ) ] )
% 0.72/1.16 , 0, clause( 448, [ =( difference( difference( X, difference( Y, difference(
% 0.72/1.16 Y, difference( X, Z ) ) ) ), Z ), difference( difference( X, Y ), Z ) ) ]
% 0.72/1.16 )
% 0.72/1.16 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.16 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 paramod(
% 0.72/1.16 clause( 450, [ =( difference( difference( X, difference( Y, Z ) ), Z ),
% 0.72/1.16 difference( difference( X, Y ), Z ) ) ] )
% 0.72/1.16 , clause( 120, [ =( difference( X, difference( difference( Y, Z ),
% 0.72/1.16 difference( Y, X ) ) ), difference( X, difference( Y, Z ) ) ) ] )
% 0.72/1.16 , 0, clause( 449, [ =( difference( difference( X, difference( difference( Y
% 0.72/1.16 , Z ), difference( Y, X ) ) ), Z ), difference( difference( X, Y ), Z ) )
% 0.72/1.16 ] )
% 0.72/1.16 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.16 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 subsumption(
% 0.72/1.16 clause( 122, [ =( difference( difference( X, difference( Z, Y ) ), Y ),
% 0.72/1.16 difference( difference( X, Z ), Y ) ) ] )
% 0.72/1.16 , clause( 450, [ =( difference( difference( X, difference( Y, Z ) ), Z ),
% 0.72/1.16 difference( difference( X, Y ), Z ) ) ] )
% 0.72/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 eqswap(
% 0.72/1.16 clause( 452, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.16 difference( X, difference( Y, Z ) ), Z ) ) ] )
% 0.72/1.16 , clause( 122, [ =( difference( difference( X, difference( Z, Y ) ), Y ),
% 0.72/1.16 difference( difference( X, Z ), Y ) ) ] )
% 0.72/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 eqswap(
% 0.72/1.16 clause( 453, [ ~( =( difference( difference( a, b ), c ), difference(
% 0.72/1.16 difference( a, difference( b, c ) ), c ) ) ) ] )
% 0.72/1.16 , clause( 39, [ ~( =( difference( difference( a, difference( b, c ) ), c )
% 0.72/1.16 , difference( difference( a, b ), c ) ) ) ] )
% 0.72/1.16 , 0, substitution( 0, [] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 resolution(
% 0.72/1.16 clause( 454, [] )
% 0.72/1.16 , clause( 453, [ ~( =( difference( difference( a, b ), c ), difference(
% 0.72/1.16 difference( a, difference( b, c ) ), c ) ) ) ] )
% 0.72/1.16 , 0, clause( 452, [ =( difference( difference( X, Y ), Z ), difference(
% 0.72/1.16 difference( X, difference( Y, Z ) ), Z ) ) ] )
% 0.72/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.72/1.16 Z, c )] )).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 subsumption(
% 0.72/1.16 clause( 123, [] )
% 0.72/1.16 , clause( 454, [] )
% 0.72/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 end.
% 0.72/1.16
% 0.72/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.16
% 0.72/1.16 Memory use:
% 0.72/1.16
% 0.72/1.16 space for terms: 1800
% 0.72/1.16 space for clauses: 14018
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 clauses generated: 12466
% 0.72/1.16 clauses kept: 124
% 0.72/1.16 clauses selected: 56
% 0.72/1.16 clauses deleted: 7
% 0.72/1.16 clauses inuse deleted: 0
% 0.72/1.16
% 0.72/1.16 subsentry: 6255
% 0.72/1.16 literals s-matched: 3468
% 0.72/1.16 literals matched: 3071
% 0.72/1.16 full subsumption: 0
% 0.72/1.16
% 0.72/1.16 checksum: 1937607100
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Bliksem ended
%------------------------------------------------------------------------------