TSTP Solution File: CAT002-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 23:54:08 EDT 2022
% Result : Unsatisfiable 0.74s 1.52s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : CAT002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun May 29 19:41:09 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.74/1.52 *** allocated 10000 integers for termspace/termends
% 0.74/1.52 *** allocated 10000 integers for clauses
% 0.74/1.52 *** allocated 10000 integers for justifications
% 0.74/1.52 Bliksem 1.12
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 Automatic Strategy Selection
% 0.74/1.52
% 0.74/1.52 Clauses:
% 0.74/1.52 [
% 0.74/1.52 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.74/1.52 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.74/1.52 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.74/1.52 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.74/1.52 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.74/1.52 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.74/1.52 ],
% 0.74/1.52 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.74/1.52 ) ],
% 0.74/1.52 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.74/1.52 ), 'there_exists'( compose( X, Y ) ) ],
% 0.74/1.52 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.74/1.52 ,
% 0.74/1.52 [ =( compose( X, domain( X ) ), X ) ],
% 0.74/1.52 [ =( compose( codomain( X ), X ), X ) ],
% 0.74/1.52 [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 0.74/1.52 [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ),
% 0.74/1.52 equivalent( X, Y ) ],
% 0.74/1.52 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 0.74/1.52 ) ],
% 0.74/1.52 [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 0.74/1.52 [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 0.74/1.52 [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 0.74/1.52 [ 'there_exists'( compose( a, b ) ) ],
% 0.74/1.52 [ ~( =( compose( a, X ), Y ) ), ~( =( compose( a, Z ), Y ) ), =( X, Z )
% 0.74/1.52 ],
% 0.74/1.52 [ ~( =( compose( b, X ), Y ) ), ~( =( compose( b, Z ), Y ) ), =( X, Z )
% 0.74/1.52 ],
% 0.74/1.52 [ 'there_exists'( h ) ],
% 0.74/1.52 [ =( compose( compose( a, b ), h ), compose( compose( a, b ), g ) ) ]
% 0.74/1.52 ,
% 0.74/1.52 [ ~( =( g, h ) ) ]
% 0.74/1.52 ] .
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 percentage equality = 0.511628, percentage horn = 0.909091
% 0.74/1.52 This is a problem with some equality
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 Options Used:
% 0.74/1.52
% 0.74/1.52 useres = 1
% 0.74/1.52 useparamod = 1
% 0.74/1.52 useeqrefl = 1
% 0.74/1.52 useeqfact = 1
% 0.74/1.52 usefactor = 1
% 0.74/1.52 usesimpsplitting = 0
% 0.74/1.52 usesimpdemod = 5
% 0.74/1.52 usesimpres = 3
% 0.74/1.52
% 0.74/1.52 resimpinuse = 1000
% 0.74/1.52 resimpclauses = 20000
% 0.74/1.52 substype = eqrewr
% 0.74/1.52 backwardsubs = 1
% 0.74/1.52 selectoldest = 5
% 0.74/1.52
% 0.74/1.52 litorderings [0] = split
% 0.74/1.52 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.52
% 0.74/1.52 termordering = kbo
% 0.74/1.52
% 0.74/1.52 litapriori = 0
% 0.74/1.52 termapriori = 1
% 0.74/1.52 litaposteriori = 0
% 0.74/1.52 termaposteriori = 0
% 0.74/1.52 demodaposteriori = 0
% 0.74/1.52 ordereqreflfact = 0
% 0.74/1.52
% 0.74/1.52 litselect = negord
% 0.74/1.52
% 0.74/1.52 maxweight = 15
% 0.74/1.52 maxdepth = 30000
% 0.74/1.52 maxlength = 115
% 0.74/1.52 maxnrvars = 195
% 0.74/1.52 excuselevel = 1
% 0.74/1.52 increasemaxweight = 1
% 0.74/1.52
% 0.74/1.52 maxselected = 10000000
% 0.74/1.52 maxnrclauses = 10000000
% 0.74/1.52
% 0.74/1.52 showgenerated = 0
% 0.74/1.52 showkept = 0
% 0.74/1.52 showselected = 0
% 0.74/1.52 showdeleted = 0
% 0.74/1.52 showresimp = 1
% 0.74/1.52 showstatus = 2000
% 0.74/1.52
% 0.74/1.52 prologoutput = 1
% 0.74/1.52 nrgoals = 5000000
% 0.74/1.52 totalproof = 1
% 0.74/1.52
% 0.74/1.52 Symbols occurring in the translation:
% 0.74/1.52
% 0.74/1.52 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.52 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.74/1.52 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.74/1.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.52 equivalent [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.74/1.52 'there_exists' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.52 domain [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.52 codomain [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.52 compose [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.74/1.52 f1 [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.74/1.52 a [48, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.52 b [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.74/1.52 h [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.74/1.52 g [51, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 Starting Search:
% 0.74/1.52
% 0.74/1.52 Resimplifying inuse:
% 0.74/1.52 Done
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 Intermediate Status:
% 0.74/1.52 Generated: 5909
% 0.74/1.52 Kept: 2014
% 0.74/1.52 Inuse: 79
% 0.74/1.52 Deleted: 2
% 0.74/1.52 Deletedinuse: 2
% 0.74/1.52
% 0.74/1.52 Resimplifying inuse:
% 0.74/1.52 Done
% 0.74/1.52
% 0.74/1.52 Resimplifying inuse:
% 0.74/1.52 Done
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 Intermediate Status:
% 0.74/1.52 Generated: 14008
% 0.74/1.52 Kept: 4017
% 0.74/1.52 Inuse: 156
% 0.74/1.52 Deleted: 12
% 0.74/1.52 Deletedinuse: 2
% 0.74/1.52
% 0.74/1.52 Resimplifying inuse:
% 0.74/1.52 Done
% 0.74/1.52
% 0.74/1.52 Resimplifying inuse:
% 0.74/1.52 Done
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 Intermediate Status:
% 0.74/1.52 Generated: 20772
% 0.74/1.52 Kept: 6049
% 0.74/1.52 Inuse: 209
% 0.74/1.52 Deleted: 18
% 0.74/1.52 Deletedinuse: 5
% 0.74/1.52
% 0.74/1.52 Resimplifying inuse:
% 0.74/1.52 Done
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 Bliksems!, er is een bewijs:
% 0.74/1.52 % SZS status Unsatisfiable
% 0.74/1.52 % SZS output start Refutation
% 0.74/1.52
% 0.74/1.52 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 0.74/1.52 ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 14, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( X, Y ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 15, [ ~( =( f1( X, Y ), X ) ), ~( =( f1( X, Y ), Y ) ), =( X, Y ) ]
% 0.74/1.52 )
% 0.74/1.52 .
% 0.74/1.52 clause( 17, [ ~( =( compose( a, X ), Y ) ), ~( =( compose( a, Z ), Y ) ),
% 0.74/1.52 =( X, Z ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 18, [ ~( =( compose( b, X ), Y ) ), ~( =( compose( b, Z ), Y ) ),
% 0.74/1.52 =( X, Z ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 20, [ =( compose( compose( a, b ), h ), compose( compose( a, b ), g
% 0.74/1.52 ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 21, [ ~( =( h, g ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 23, [ ~( =( X, Y ) ), =( f1( Y, X ), Y ), =( Y, X ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 24, [ ~( =( compose( a, X ), compose( a, Y ) ) ), =( Y, X ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 805, [ ~( =( Z, X ) ), ~( =( Z, Y ) ), =( X, Y ), ~( =( f1( Z, f1(
% 0.74/1.52 X, Y ) ), Z ) ), ~( =( f1( Z, f1( X, Y ) ), f1( X, Y ) ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 932, [ ~( =( X, Y ) ), =( Y, X ), ~( =( X, Y ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 933, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 1553, [ ~( =( X, g ) ), ~( =( compose( b, h ), Y ) ), ~( =( compose(
% 0.74/1.52 b, X ), Y ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 1556, [ ~( =( X, g ) ), ~( =( compose( b, X ), compose( b, h ) ) )
% 0.74/1.52 ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 1557, [ ~( =( compose( b, h ), compose( b, g ) ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 2777, [ =( compose( T, Z ), compose( compose( T, X ), Y ) ), ~( =(
% 0.74/1.52 Z, compose( X, Y ) ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 6721, [ ~( =( X, compose( b, g ) ) ) ] )
% 0.74/1.52 .
% 0.74/1.52 clause( 6727, [] )
% 0.74/1.52 .
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 % SZS output end Refutation
% 0.74/1.52 found a proof!
% 0.74/1.52
% 0.74/1.52 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.52
% 0.74/1.52 initialclauses(
% 0.74/1.52 [ clause( 6729, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.74/1.52 , clause( 6730, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.74/1.52 , clause( 6731, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 0.74/1.52 Y ) ] )
% 0.74/1.52 , clause( 6732, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.74/1.52 )
% 0.74/1.52 , clause( 6733, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.74/1.52 ] )
% 0.74/1.52 , clause( 6734, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.74/1.52 domain( X ) ) ] )
% 0.74/1.52 , clause( 6735, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.74/1.52 codomain( Y ) ) ] )
% 0.74/1.52 , clause( 6736, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 0.74/1.52 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.74/1.52 , clause( 6737, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.74/1.52 ), Z ) ) ] )
% 0.74/1.52 , clause( 6738, [ =( compose( X, domain( X ) ), X ) ] )
% 0.74/1.52 , clause( 6739, [ =( compose( codomain( X ), X ), X ) ] )
% 0.74/1.52 , clause( 6740, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 0.74/1.52 , clause( 6741, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~(
% 0.74/1.52 =( X, Y ) ), equivalent( X, Y ) ] )
% 0.74/1.52 , clause( 6742, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.74/1.52 codomain( X ) ) ] )
% 0.74/1.52 , clause( 6743, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.74/1.52 , clause( 6744, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.74/1.52 , clause( 6745, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.74/1.52 ) ] )
% 0.74/1.52 , clause( 6746, [ 'there_exists'( compose( a, b ) ) ] )
% 0.74/1.52 , clause( 6747, [ ~( =( compose( a, X ), Y ) ), ~( =( compose( a, Z ), Y )
% 0.74/1.52 ), =( X, Z ) ] )
% 0.74/1.52 , clause( 6748, [ ~( =( compose( b, X ), Y ) ), ~( =( compose( b, Z ), Y )
% 0.74/1.52 ), =( X, Z ) ] )
% 0.74/1.52 , clause( 6749, [ 'there_exists'( h ) ] )
% 0.74/1.52 , clause( 6750, [ =( compose( compose( a, b ), h ), compose( compose( a, b
% 0.74/1.52 ), g ) ) ] )
% 0.74/1.52 , clause( 6751, [ ~( =( g, h ) ) ] )
% 0.74/1.52 ] ).
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 subsumption(
% 0.74/1.52 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 0.74/1.52 ) ) ] )
% 0.74/1.52 , clause( 6737, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.74/1.52 ), Z ) ) ] )
% 0.74/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.52 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 eqswap(
% 0.74/1.52 clause( 6769, [ =( Y, X ), =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ) ] )
% 0.74/1.52 , clause( 6744, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.74/1.52 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 eqswap(
% 0.74/1.52 clause( 6771, [ =( f1( Y, X ), X ), =( X, Y ), =( Y, f1( Y, X ) ) ] )
% 0.74/1.52 , clause( 6769, [ =( Y, X ), =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ) ] )
% 0.74/1.52 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.52
% 0.74/1.52
% 0.74/1.52 eqswap(
% 0.74/1.52 clause( 6772, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( Y, X ) ] )
% 0.74/1.53 , clause( 6771, [ =( f1( Y, X ), X ), =( X, Y ), =( Y, f1( Y, X ) ) ] )
% 0.74/1.53 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 6773, [ =( Y, X ), =( f1( Y, X ), Y ), =( f1( Y, X ), X ) ] )
% 0.74/1.53 , clause( 6772, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( Y, X ) ] )
% 0.74/1.53 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 subsumption(
% 0.74/1.53 clause( 14, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( X, Y ) ] )
% 0.74/1.53 , clause( 6773, [ =( Y, X ), =( f1( Y, X ), Y ), =( f1( Y, X ), X ) ] )
% 0.74/1.53 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 0.74/1.53 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 6797, [ =( Y, X ), ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) )
% 0.74/1.53 ] )
% 0.74/1.53 , clause( 6745, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.74/1.53 ) ] )
% 0.74/1.53 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 6799, [ ~( =( f1( Y, X ), X ) ), =( X, Y ), ~( =( Y, f1( Y, X ) ) )
% 0.74/1.53 ] )
% 0.74/1.53 , clause( 6797, [ =( Y, X ), ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) )
% 0.74/1.53 ) ] )
% 0.74/1.53 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 6800, [ ~( =( f1( X, Y ), X ) ), ~( =( f1( X, Y ), Y ) ), =( Y, X )
% 0.74/1.53 ] )
% 0.74/1.53 , clause( 6799, [ ~( =( f1( Y, X ), X ) ), =( X, Y ), ~( =( Y, f1( Y, X ) )
% 0.74/1.53 ) ] )
% 0.74/1.53 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 6801, [ =( Y, X ), ~( =( f1( Y, X ), Y ) ), ~( =( f1( Y, X ), X ) )
% 0.74/1.53 ] )
% 0.74/1.53 , clause( 6800, [ ~( =( f1( X, Y ), X ) ), ~( =( f1( X, Y ), Y ) ), =( Y, X
% 0.74/1.53 ) ] )
% 0.74/1.53 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 subsumption(
% 0.74/1.53 clause( 15, [ ~( =( f1( X, Y ), X ) ), ~( =( f1( X, Y ), Y ) ), =( X, Y ) ]
% 0.74/1.53 )
% 0.74/1.53 , clause( 6801, [ =( Y, X ), ~( =( f1( Y, X ), Y ) ), ~( =( f1( Y, X ), X )
% 0.74/1.53 ) ] )
% 0.74/1.53 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 0.74/1.53 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 subsumption(
% 0.74/1.53 clause( 17, [ ~( =( compose( a, X ), Y ) ), ~( =( compose( a, Z ), Y ) ),
% 0.74/1.53 =( X, Z ) ] )
% 0.74/1.53 , clause( 6747, [ ~( =( compose( a, X ), Y ) ), ~( =( compose( a, Z ), Y )
% 0.74/1.53 ), =( X, Z ) ] )
% 0.74/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 subsumption(
% 0.74/1.53 clause( 18, [ ~( =( compose( b, X ), Y ) ), ~( =( compose( b, Z ), Y ) ),
% 0.74/1.53 =( X, Z ) ] )
% 0.74/1.53 , clause( 6748, [ ~( =( compose( b, X ), Y ) ), ~( =( compose( b, Z ), Y )
% 0.74/1.53 ), =( X, Z ) ] )
% 0.74/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 subsumption(
% 0.74/1.53 clause( 20, [ =( compose( compose( a, b ), h ), compose( compose( a, b ), g
% 0.74/1.53 ) ) ] )
% 0.74/1.53 , clause( 6750, [ =( compose( compose( a, b ), h ), compose( compose( a, b
% 0.74/1.53 ), g ) ) ] )
% 0.74/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 6953, [ ~( =( h, g ) ) ] )
% 0.74/1.53 , clause( 6751, [ ~( =( g, h ) ) ] )
% 0.74/1.53 , 0, substitution( 0, [] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 subsumption(
% 0.74/1.53 clause( 21, [ ~( =( h, g ) ) ] )
% 0.74/1.53 , clause( 6953, [ ~( =( h, g ) ) ] )
% 0.74/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 6956, [ =( Y, X ), =( f1( X, Y ), X ), =( f1( X, Y ), Y ) ] )
% 0.74/1.53 , clause( 14, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( X, Y ) ] )
% 0.74/1.53 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqfact(
% 0.74/1.53 clause( 7076, [ ~( =( X, Y ) ), =( X, Y ), =( f1( Y, X ), Y ) ] )
% 0.74/1.53 , clause( 6956, [ =( Y, X ), =( f1( X, Y ), X ), =( f1( X, Y ), Y ) ] )
% 0.74/1.53 , 2, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 7078, [ =( Y, X ), ~( =( X, Y ) ), =( f1( Y, X ), Y ) ] )
% 0.74/1.53 , clause( 7076, [ ~( =( X, Y ) ), =( X, Y ), =( f1( Y, X ), Y ) ] )
% 0.74/1.53 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 subsumption(
% 0.74/1.53 clause( 23, [ ~( =( X, Y ) ), =( f1( Y, X ), Y ), =( Y, X ) ] )
% 0.74/1.53 , clause( 7078, [ =( Y, X ), ~( =( X, Y ) ), =( f1( Y, X ), Y ) ] )
% 0.74/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.74/1.53 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.74/1.53
% 0.74/1.53
% 0.74/1.53 eqswap(
% 0.74/1.53 clause( 7091, [ ~( =( Y, compose( a, X ) ) ), ~( =( compose( a, Z ), Y ) )
% 0.74/1.53 , =( X, Z ) ] )
% 0.74/1.53 , clause( 17, [ ~( =( compose( a, X ), Y ) ), ~( =( compose( a, Z ), Y ) )
% 0.74/1.53 , =( X, Z ) ] )
% 0.74/1.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------