TSTP Solution File: CAT003-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT003-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 23:54:09 EDT 2022
% Result : Unsatisfiable 0.71s 1.12s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT003-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun May 29 16:39:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12 [
% 0.71/1.12 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.71/1.12 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.71/1.12 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.71/1.12 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.71/1.12 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.71/1.12 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.71/1.12 ],
% 0.71/1.12 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.71/1.12 ) ],
% 0.71/1.12 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.71/1.12 ), 'there_exists'( compose( X, Y ) ) ],
% 0.71/1.12 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ =( compose( X, domain( X ) ), X ) ],
% 0.71/1.12 [ =( compose( codomain( X ), X ), X ) ],
% 0.71/1.12 [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 0.71/1.12 [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ),
% 0.71/1.12 equivalent( X, Y ) ],
% 0.71/1.12 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 0.71/1.12 ) ],
% 0.71/1.12 [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 0.71/1.12 [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 0.71/1.12 [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 0.71/1.12 [ 'there_exists'( compose( a, b ) ) ],
% 0.71/1.12 [ ~( =( compose( X, compose( a, b ) ), Y ) ), ~( =( compose( Z, compose(
% 0.71/1.12 a, b ) ), Y ) ), =( X, Z ) ],
% 0.71/1.12 [ 'there_exists'( h ) ],
% 0.71/1.12 [ =( compose( h, a ), compose( g, a ) ) ],
% 0.71/1.12 [ ~( =( g, h ) ) ]
% 0.71/1.12 ] .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 percentage equality = 0.475000, percentage horn = 0.904762
% 0.71/1.12 This is a problem with some equality
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 1
% 0.71/1.12 useeqrefl = 1
% 0.71/1.12 useeqfact = 1
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 5
% 0.71/1.12 usesimpres = 3
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = eqrewr
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.12
% 0.71/1.12 termordering = kbo
% 0.71/1.12
% 0.71/1.12 litapriori = 0
% 0.71/1.12 termapriori = 1
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = negord
% 0.71/1.12
% 0.71/1.12 maxweight = 15
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 1
% 0.71/1.12 increasemaxweight = 1
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.12
% 0.71/1.12 showgenerated = 0
% 0.71/1.12 showkept = 0
% 0.71/1.12 showselected = 0
% 0.71/1.12 showdeleted = 0
% 0.71/1.12 showresimp = 1
% 0.71/1.12 showstatus = 2000
% 0.71/1.12
% 0.71/1.12 prologoutput = 1
% 0.71/1.12 nrgoals = 5000000
% 0.71/1.12 totalproof = 1
% 0.71/1.12
% 0.71/1.12 Symbols occurring in the translation:
% 0.71/1.12
% 0.71/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.12 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 equivalent [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.12 'there_exists' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.12 domain [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.12 codomain [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.12 compose [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.71/1.12 f1 [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.71/1.12 a [48, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.12 b [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.12 h [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.12 g [51, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Starting Search:
% 0.71/1.12
% 0.71/1.12 Resimplifying inuse:
% 0.71/1.12 Done
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksems!, er is een bewijs:
% 0.71/1.12 % SZS status Unsatisfiable
% 0.71/1.12 % SZS output start Refutation
% 0.71/1.12
% 0.71/1.12 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 0.71/1.12 ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 17, [ =( X, Z ), ~( =( compose( compose( X, a ), b ), Y ) ), ~( =(
% 0.71/1.12 compose( compose( Z, a ), b ), Y ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 18, [ 'there_exists'( h ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 19, [ =( compose( h, a ), compose( g, a ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 20, [ ~( =( h, g ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 23, [ =( X, Y ), ~( =( compose( compose( Y, a ), b ), compose(
% 0.71/1.12 compose( X, a ), b ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 28, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 31, [ ~( equivalent( h, g ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 44, [ ~( =( h, X ) ), equivalent( h, X ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 1353, [ equivalent( h, X ), ~( =( compose( compose( X, a ), b ),
% 0.71/1.12 compose( compose( g, a ), b ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 1415, [ ~( =( compose( compose( X, a ), b ), compose( compose( g, a
% 0.71/1.12 ), b ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 1419, [] )
% 0.71/1.12 .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 % SZS output end Refutation
% 0.71/1.12 found a proof!
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 initialclauses(
% 0.71/1.12 [ clause( 1421, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.71/1.12 , clause( 1422, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.71/1.12 , clause( 1423, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 0.71/1.12 Y ) ] )
% 0.71/1.12 , clause( 1424, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 1425, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.71/1.12 ] )
% 0.71/1.12 , clause( 1426, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.71/1.12 domain( X ) ) ] )
% 0.71/1.12 , clause( 1427, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.71/1.12 codomain( Y ) ) ] )
% 0.71/1.12 , clause( 1428, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 0.71/1.12 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.71/1.12 , clause( 1429, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.71/1.12 ), Z ) ) ] )
% 0.71/1.12 , clause( 1430, [ =( compose( X, domain( X ) ), X ) ] )
% 0.71/1.12 , clause( 1431, [ =( compose( codomain( X ), X ), X ) ] )
% 0.71/1.12 , clause( 1432, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 0.71/1.12 , clause( 1433, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~(
% 0.71/1.12 =( X, Y ) ), equivalent( X, Y ) ] )
% 0.71/1.12 , clause( 1434, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.71/1.12 codomain( X ) ) ] )
% 0.71/1.12 , clause( 1435, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.71/1.12 , clause( 1436, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.71/1.12 , clause( 1437, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 1438, [ 'there_exists'( compose( a, b ) ) ] )
% 0.71/1.12 , clause( 1439, [ ~( =( compose( X, compose( a, b ) ), Y ) ), ~( =( compose(
% 0.71/1.12 Z, compose( a, b ) ), Y ) ), =( X, Z ) ] )
% 0.71/1.12 , clause( 1440, [ 'there_exists'( h ) ] )
% 0.71/1.12 , clause( 1441, [ =( compose( h, a ), compose( g, a ) ) ] )
% 0.71/1.12 , clause( 1442, [ ~( =( g, h ) ) ] )
% 0.71/1.12 ] ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.71/1.12 , clause( 1422, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 ), ==>( 1, 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 1423, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 0.71/1.12 Y ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , clause( 1429, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.71/1.12 ), Z ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 1527, [ ~( =( compose( compose( X, a ), b ), Y ) ), ~( =( compose(
% 0.71/1.12 Z, compose( a, b ) ), Y ) ), =( Z, X ) ] )
% 0.71/1.12 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 0.71/1.12 Z ) ) ] )
% 0.71/1.12 , 0, clause( 1439, [ ~( =( compose( X, compose( a, b ) ), Y ) ), ~( =(
% 0.71/1.12 compose( Z, compose( a, b ) ), Y ) ), =( X, Z ) ] )
% 0.71/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, b )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 1530, [ ~( =( compose( compose( X, a ), b ), Y ) ), ~( =( compose(
% 0.71/1.12 compose( Z, a ), b ), Y ) ), =( X, Z ) ] )
% 0.71/1.12 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 0.71/1.12 Z ) ) ] )
% 0.71/1.12 , 0, clause( 1527, [ ~( =( compose( compose( X, a ), b ), Y ) ), ~( =(
% 0.71/1.12 compose( Z, compose( a, b ) ), Y ) ), =( Z, X ) ] )
% 0.71/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, b )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 17, [ =( X, Z ), ~( =( compose( compose( X, a ), b ), Y ) ), ~( =(
% 216.79/217.22 compose( compose( Z, a ), b ), Y ) ) ] )
% 216.79/217.22 , clause( 1530, [ ~( =( compose( compose( X, a ), b ), Y ) ), ~( =( compose(
% 216.79/217.22 compose( Z, a ), b ), Y ) ), =( X, Z ) ] )
% 216.79/217.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.79/217.22 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 subsumption(
% 216.79/217.22 clause( 18, [ 'there_exists'( h ) ] )
% 216.79/217.22 , clause( 1440, [ 'there_exists'( h ) ] )
% 216.79/217.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 subsumption(
% 216.79/217.22 clause( 19, [ =( compose( h, a ), compose( g, a ) ) ] )
% 216.79/217.22 , clause( 1441, [ =( compose( h, a ), compose( g, a ) ) ] )
% 216.79/217.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqswap(
% 216.79/217.22 clause( 1638, [ ~( =( h, g ) ) ] )
% 216.79/217.22 , clause( 1442, [ ~( =( g, h ) ) ] )
% 216.79/217.22 , 0, substitution( 0, [] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 subsumption(
% 216.79/217.22 clause( 20, [ ~( =( h, g ) ) ] )
% 216.79/217.22 , clause( 1638, [ ~( =( h, g ) ) ] )
% 216.79/217.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqswap(
% 216.79/217.22 clause( 1639, [ ~( =( Y, compose( compose( X, a ), b ) ) ), =( X, Z ), ~(
% 216.79/217.22 =( compose( compose( Z, a ), b ), Y ) ) ] )
% 216.79/217.22 , clause( 17, [ =( X, Z ), ~( =( compose( compose( X, a ), b ), Y ) ), ~(
% 216.79/217.22 =( compose( compose( Z, a ), b ), Y ) ) ] )
% 216.79/217.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqrefl(
% 216.79/217.22 clause( 1642, [ =( X, Y ), ~( =( compose( compose( Y, a ), b ), compose(
% 216.79/217.22 compose( X, a ), b ) ) ) ] )
% 216.79/217.22 , clause( 1639, [ ~( =( Y, compose( compose( X, a ), b ) ) ), =( X, Z ),
% 216.79/217.22 ~( =( compose( compose( Z, a ), b ), Y ) ) ] )
% 216.79/217.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, compose( compose( X, a ), b ) )
% 216.79/217.22 , :=( Z, Y )] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 subsumption(
% 216.79/217.22 clause( 23, [ =( X, Y ), ~( =( compose( compose( Y, a ), b ), compose(
% 216.79/217.22 compose( X, a ), b ) ) ) ] )
% 216.79/217.22 , clause( 1642, [ =( X, Y ), ~( =( compose( compose( Y, a ), b ), compose(
% 216.79/217.22 compose( X, a ), b ) ) ) ] )
% 216.79/217.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.79/217.22 ), ==>( 1, 1 )] ) ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqswap(
% 216.79/217.22 clause( 1645, [ ~( =( g, h ) ) ] )
% 216.79/217.22 , clause( 20, [ ~( =( h, g ) ) ] )
% 216.79/217.22 , 0, substitution( 0, [] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 paramod(
% 216.79/217.22 clause( 25367, [ ~( =( g, X ) ), ~( equivalent( h, X ) ) ] )
% 216.79/217.22 , clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 216.79/217.22 , 1, clause( 1645, [ ~( =( g, h ) ) ] )
% 216.79/217.22 , 0, 3, substitution( 0, [ :=( X, h ), :=( Y, X )] ), substitution( 1, [] )
% 216.79/217.22 ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqswap(
% 216.79/217.22 clause( 25409, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 216.79/217.22 , clause( 25367, [ ~( =( g, X ) ), ~( equivalent( h, X ) ) ] )
% 216.79/217.22 , 0, substitution( 0, [ :=( X, X )] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 subsumption(
% 216.79/217.22 clause( 28, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 216.79/217.22 , clause( 25409, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 216.79/217.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 216.79/217.22 1 )] ) ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqswap(
% 216.79/217.22 clause( 37226, [ ~( =( g, X ) ), ~( equivalent( h, X ) ) ] )
% 216.79/217.22 , clause( 28, [ ~( =( X, g ) ), ~( equivalent( h, X ) ) ] )
% 216.79/217.22 , 0, substitution( 0, [ :=( X, X )] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqrefl(
% 216.79/217.22 clause( 37227, [ ~( equivalent( h, g ) ) ] )
% 216.79/217.22 , clause( 37226, [ ~( =( g, X ) ), ~( equivalent( h, X ) ) ] )
% 216.79/217.22 , 0, substitution( 0, [ :=( X, g )] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 subsumption(
% 216.79/217.22 clause( 31, [ ~( equivalent( h, g ) ) ] )
% 216.79/217.22 , clause( 37227, [ ~( equivalent( h, g ) ) ] )
% 216.79/217.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqswap(
% 216.79/217.22 clause( 37228, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 216.79/217.22 ) ] )
% 216.79/217.22 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 216.79/217.22 ] )
% 216.79/217.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 resolution(
% 216.79/217.22 clause( 37229, [ ~( =( X, h ) ), equivalent( h, X ) ] )
% 216.79/217.22 , clause( 37228, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X
% 216.79/217.22 , Y ) ] )
% 216.79/217.22 , 1, clause( 18, [ 'there_exists'( h ) ] )
% 216.79/217.22 , 0, substitution( 0, [ :=( X, h ), :=( Y, X )] ), substitution( 1, [] )
% 216.79/217.22 ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqswap(
% 216.79/217.22 clause( 37230, [ ~( =( h, X ) ), equivalent( h, X ) ] )
% 216.79/217.22 , clause( 37229, [ ~( =( X, h ) ), equivalent( h, X ) ] )
% 216.79/217.22 , 0, substitution( 0, [ :=( X, X )] )).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 subsumption(
% 216.79/217.22 clause( 44, [ ~( =( h, X ) ), equivalent( h, X ) ] )
% 216.79/217.22 , clause( 37230, [ ~( =( h, X ) ), equivalent( h, X ) ] )
% 216.79/217.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 216.79/217.22 1 )] ) ).
% 216.79/217.22
% 216.79/217.22
% 216.79/217.22 eqswap(
% 216.79/217.22 clause( 37231, [ =( Y, X ), ~( =( compose( compose( Y, a ), b ), compose(
% 216.98/217.41 compose( X, a ), b ) ) ) ] )
% 216.98/217.41 , clause( 23, [ =( X, Y ), ~( =( compose( compose( Y, a ), b ), compose(
% 216.98/217.41 compose( X, a ), b ) ) ) ] )
% 216.98/217.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 eqswap(
% 216.98/217.41 clause( 37232, [ ~( =( X, h ) ), equivalent( h, X ) ] )
% 216.98/217.41 , clause( 44, [ ~( =( h, X ) ), equivalent( h, X ) ] )
% 216.98/217.41 , 0, substitution( 0, [ :=( X, X )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 resolution(
% 216.98/217.41 clause( 37234, [ equivalent( h, X ), ~( =( compose( compose( X, a ), b ),
% 216.98/217.41 compose( compose( h, a ), b ) ) ) ] )
% 216.98/217.41 , clause( 37232, [ ~( =( X, h ) ), equivalent( h, X ) ] )
% 216.98/217.41 , 0, clause( 37231, [ =( Y, X ), ~( =( compose( compose( Y, a ), b ),
% 216.98/217.41 compose( compose( X, a ), b ) ) ) ] )
% 216.98/217.41 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, h ), :=( Y
% 216.98/217.41 , X )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 paramod(
% 216.98/217.41 clause( 37235, [ ~( =( compose( compose( X, a ), b ), compose( compose( g,
% 216.98/217.41 a ), b ) ) ), equivalent( h, X ) ] )
% 216.98/217.41 , clause( 19, [ =( compose( h, a ), compose( g, a ) ) ] )
% 216.98/217.41 , 0, clause( 37234, [ equivalent( h, X ), ~( =( compose( compose( X, a ), b
% 216.98/217.41 ), compose( compose( h, a ), b ) ) ) ] )
% 216.98/217.41 , 1, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 subsumption(
% 216.98/217.41 clause( 1353, [ equivalent( h, X ), ~( =( compose( compose( X, a ), b ),
% 216.98/217.41 compose( compose( g, a ), b ) ) ) ] )
% 216.98/217.41 , clause( 37235, [ ~( =( compose( compose( X, a ), b ), compose( compose( g
% 216.98/217.41 , a ), b ) ) ), equivalent( h, X ) ] )
% 216.98/217.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 216.98/217.41 0 )] ) ).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 eqswap(
% 216.98/217.41 clause( 37237, [ =( Y, X ), ~( =( compose( compose( Y, a ), b ), compose(
% 216.98/217.41 compose( X, a ), b ) ) ) ] )
% 216.98/217.41 , clause( 23, [ =( X, Y ), ~( =( compose( compose( Y, a ), b ), compose(
% 216.98/217.41 compose( X, a ), b ) ) ) ] )
% 216.98/217.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 paramod(
% 216.98/217.41 clause( 37240, [ ~( equivalent( h, X ) ), ~( =( compose( compose( g, a ), b
% 216.98/217.41 ), compose( compose( X, a ), b ) ) ) ] )
% 216.98/217.41 , clause( 37237, [ =( Y, X ), ~( =( compose( compose( Y, a ), b ), compose(
% 216.98/217.41 compose( X, a ), b ) ) ) ] )
% 216.98/217.41 , 0, clause( 31, [ ~( equivalent( h, g ) ) ] )
% 216.98/217.41 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, g )] ), substitution( 1, [] )
% 216.98/217.41 ).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 resolution(
% 216.98/217.41 clause( 39904, [ ~( =( compose( compose( g, a ), b ), compose( compose( X,
% 216.98/217.41 a ), b ) ) ), ~( =( compose( compose( X, a ), b ), compose( compose( g, a
% 216.98/217.41 ), b ) ) ) ] )
% 216.98/217.41 , clause( 37240, [ ~( equivalent( h, X ) ), ~( =( compose( compose( g, a )
% 216.98/217.41 , b ), compose( compose( X, a ), b ) ) ) ] )
% 216.98/217.41 , 0, clause( 1353, [ equivalent( h, X ), ~( =( compose( compose( X, a ), b
% 216.98/217.41 ), compose( compose( g, a ), b ) ) ) ] )
% 216.98/217.41 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 216.98/217.41 ).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 eqswap(
% 216.98/217.41 clause( 39905, [ ~( =( compose( compose( X, a ), b ), compose( compose( g,
% 216.98/217.41 a ), b ) ) ), ~( =( compose( compose( X, a ), b ), compose( compose( g, a
% 216.98/217.41 ), b ) ) ) ] )
% 216.98/217.41 , clause( 39904, [ ~( =( compose( compose( g, a ), b ), compose( compose( X
% 216.98/217.41 , a ), b ) ) ), ~( =( compose( compose( X, a ), b ), compose( compose( g
% 216.98/217.41 , a ), b ) ) ) ] )
% 216.98/217.41 , 0, substitution( 0, [ :=( X, X )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 factor(
% 216.98/217.41 clause( 39907, [ ~( =( compose( compose( X, a ), b ), compose( compose( g,
% 216.98/217.41 a ), b ) ) ) ] )
% 216.98/217.41 , clause( 39905, [ ~( =( compose( compose( X, a ), b ), compose( compose( g
% 216.98/217.41 , a ), b ) ) ), ~( =( compose( compose( X, a ), b ), compose( compose( g
% 216.98/217.41 , a ), b ) ) ) ] )
% 216.98/217.41 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 subsumption(
% 216.98/217.41 clause( 1415, [ ~( =( compose( compose( X, a ), b ), compose( compose( g, a
% 216.98/217.41 ), b ) ) ) ] )
% 216.98/217.41 , clause( 39907, [ ~( =( compose( compose( X, a ), b ), compose( compose( g
% 216.98/217.41 , a ), b ) ) ) ] )
% 216.98/217.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 eqswap(
% 216.98/217.41 clause( 39909, [ ~( =( compose( compose( g, a ), b ), compose( compose( X,
% 216.98/217.41 a ), b ) ) ) ] )
% 216.98/217.41 , clause( 1415, [ ~( =( compose( compose( X, a ), b ), compose( compose( g
% 216.98/217.41 , a ), b ) ) ) ] )
% 216.98/217.41 , 0, substitution( 0, [ :=( X, X )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 eqrefl(
% 216.98/217.41 clause( 39910, [] )
% 216.98/217.41 , clause( 39909, [ ~( =( compose( compose( g, a ), b ), compose( compose( X
% 216.98/217.41 , a ), b ) ) ) ] )
% 216.98/217.41 , 0, substitution( 0, [ :=( X, g )] )).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 subsumption(
% 216.98/217.41 clause( 1419, [] )
% 216.98/217.41 , clause( 39910, [] )
% 216.98/217.41 , substitution( 0, [] ), permutation( 0, [] ) ).
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 end.
% 216.98/217.41
% 216.98/217.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 216.98/217.41
% 216.98/217.41 Memory use:
% 216.98/217.41
% 216.98/217.41 space for terms: 17511
% 216.98/217.41 space for clauses: 73903
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 clauses generated: 4507
% 216.98/217.41 clauses kept: 1420
% 216.98/217.41 clauses selected: 80
% 216.98/217.41 clauses deleted: 3
% 216.98/217.41 clauses inuse deleted: 2
% 216.98/217.41
% 216.98/217.41 subsentry: 317431454
% 216.98/217.41 literals s-matched: 129469584
% 216.98/217.41 literals matched: 102684232
% 216.98/217.41 full subsumption: 102631635
% 216.98/217.41
% 216.98/217.41 checksum: -1082412984
% 216.98/217.41
% 216.98/217.41
% 216.98/217.41 Bliksem ended
%------------------------------------------------------------------------------