TSTP Solution File: CAT014-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT014-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:54:13 EDT 2022
% Result : Unsatisfiable 0.72s 1.15s
% Output : Refutation 95.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : CAT014-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.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 18:02:12 EDT 2022
% 0.12/0.33 % 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 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.72/1.15 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.72/1.15 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.72/1.15 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.72/1.15 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.72/1.15 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.72/1.15 ],
% 0.72/1.15 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.72/1.15 ) ],
% 0.72/1.15 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.72/1.15 ), 'there_exists'( compose( X, Y ) ) ],
% 0.72/1.15 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.72/1.15 ,
% 0.72/1.15 [ =( compose( X, domain( X ) ), X ) ],
% 0.72/1.15 [ =( compose( codomain( X ), X ), X ) ],
% 0.72/1.15 [ 'there_exists'( codomain( a ) ) ],
% 0.72/1.15 [ ~( =( codomain( codomain( a ) ), codomain( a ) ) ) ]
% 0.72/1.15 ] .
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 percentage equality = 0.347826, percentage horn = 1.000000
% 0.72/1.15 This is a problem with some equality
% 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:21, a:1, s:1, b:0),
% 0.72/1.15 ! [4, 1] (w:0, o:13, 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 equivalent [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.15 'there_exists' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.72/1.15 domain [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.15 codomain [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.15 compose [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.15 a [47, 0] (w:1, o:12, 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 Resimplifying inuse:
% 0.72/1.15 Done
% 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( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 0.72/1.15 )
% 0.72/1.15 .
% 0.72/1.15 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.72/1.15 codomain( Y ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 11, [ 'there_exists'( codomain( a ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 12, [ ~( =( codomain( codomain( a ) ), codomain( a ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 19, [ 'there_exists'( a ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 24, [ 'there_exists'( X ), ~( equivalent( codomain( a ), X ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 46, [ ~( =( codomain( a ), X ) ), equivalent( codomain( a ), X ) ]
% 0.72/1.15 )
% 0.72/1.15 .
% 0.72/1.15 clause( 187, [ 'there_exists'( X ), ~( =( codomain( a ), X ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 202, [ ~( =( codomain( a ), domain( X ) ) ), 'there_exists'( X ) ]
% 0.72/1.15 )
% 0.72/1.15 .
% 0.72/1.15 clause( 227, [ =( compose( X, Y ), X ), ~( equivalent( Y, domain( X ) ) ) ]
% 0.72/1.15 )
% 0.72/1.15 .
% 0.72/1.15 clause( 319, [ ~( =( X, codomain( a ) ) ), ~( equivalent( X, codomain(
% 0.72/1.15 codomain( a ) ) ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 324, [ ~( equivalent( codomain( a ), codomain( codomain( a ) ) ) )
% 0.72/1.15 ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 656, [ ~( equivalent( codomain( a ), domain( X ) ) ), ~(
% 95.58/95.99 'there_exists'( X ) ) ] )
% 95.58/95.99 .
% 95.58/95.99 clause( 1745, [ ~( =( codomain( a ), domain( X ) ) ) ] )
% 95.58/95.99 .
% 95.58/95.99 clause( 1774, [ ~( =( codomain( a ), codomain( Y ) ) ), ~( 'there_exists'(
% 95.58/95.99 compose( X, Y ) ) ) ] )
% 95.58/95.99 .
% 95.58/95.99 clause( 1782, [ ~( 'there_exists'( compose( X, a ) ) ) ] )
% 95.58/95.99 .
% 95.58/95.99 clause( 1806, [] )
% 95.58/95.99 .
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 % SZS output end Refutation
% 95.58/95.99 found a proof!
% 95.58/95.99
% 95.58/95.99 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 95.58/95.99
% 95.58/95.99 initialclauses(
% 95.58/95.99 [ clause( 1808, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 95.58/95.99 , clause( 1809, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 95.58/95.99 , clause( 1810, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 95.58/95.99 Y ) ] )
% 95.58/95.99 , clause( 1811, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 95.58/95.99 )
% 95.58/95.99 , clause( 1812, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 95.58/95.99 ] )
% 95.58/95.99 , clause( 1813, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 95.58/95.99 domain( X ) ) ] )
% 95.58/95.99 , clause( 1814, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 95.58/95.99 codomain( Y ) ) ] )
% 95.58/95.99 , clause( 1815, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 95.58/95.99 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 95.58/95.99 , clause( 1816, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 95.58/95.99 ), Z ) ) ] )
% 95.58/95.99 , clause( 1817, [ =( compose( X, domain( X ) ), X ) ] )
% 95.58/95.99 , clause( 1818, [ =( compose( codomain( X ), X ), X ) ] )
% 95.58/95.99 , clause( 1819, [ 'there_exists'( codomain( a ) ) ] )
% 95.58/95.99 , clause( 1820, [ ~( =( codomain( codomain( a ) ), codomain( a ) ) ) ] )
% 95.58/95.99 ] ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 95.58/95.99 , clause( 1809, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 95.58/95.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 95.58/95.99 ), ==>( 1, 1 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 95.58/95.99 )
% 95.58/95.99 , clause( 1810, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 95.58/95.99 Y ) ] )
% 95.58/95.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 95.58/95.99 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 95.58/95.99 , clause( 1811, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 95.58/95.99 )
% 95.58/95.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 95.58/95.99 1 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 95.58/95.99 , clause( 1812, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 95.58/95.99 ] )
% 95.58/95.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 95.58/95.99 1 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 95.58/95.99 codomain( Y ) ) ] )
% 95.58/95.99 , clause( 1814, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 95.58/95.99 codomain( Y ) ) ] )
% 95.58/95.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 95.58/95.99 ), ==>( 1, 1 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 95.58/95.99 , clause( 1817, [ =( compose( X, domain( X ) ), X ) ] )
% 95.58/95.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 95.58/95.99 , clause( 1818, [ =( compose( codomain( X ), X ), X ) ] )
% 95.58/95.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 11, [ 'there_exists'( codomain( a ) ) ] )
% 95.58/95.99 , clause( 1819, [ 'there_exists'( codomain( a ) ) ] )
% 95.58/95.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 12, [ ~( =( codomain( codomain( a ) ), codomain( a ) ) ) ] )
% 95.58/95.99 , clause( 1820, [ ~( =( codomain( codomain( a ) ), codomain( a ) ) ) ] )
% 95.58/95.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 resolution(
% 95.58/95.99 clause( 1859, [ 'there_exists'( a ) ] )
% 95.58/95.99 , clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ]
% 95.58/95.99 )
% 95.58/95.99 , 0, clause( 11, [ 'there_exists'( codomain( a ) ) ] )
% 95.58/95.99 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 subsumption(
% 95.58/95.99 clause( 19, [ 'there_exists'( a ) ] )
% 95.58/95.99 , clause( 1859, [ 'there_exists'( a ) ] )
% 95.58/95.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 95.58/95.99
% 95.58/95.99
% 95.58/95.99 paramod(
% 95.58/95.99 clause( 13172, [ 'there_exists'( X ), ~( equivalent( codomain( a ), X ) ) ]
% 95.58/95.99 )
% 95.58/95.99 , clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 253.68/254.10 , 1, clause( 11, [ 'there_exists'( codomain( a ) ) ] )
% 253.68/254.10 , 0, 1, substitution( 0, [ :=( X, codomain( a ) ), :=( Y, X )] ),
% 253.68/254.10 substitution( 1, [] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 subsumption(
% 253.68/254.10 clause( 24, [ 'there_exists'( X ), ~( equivalent( codomain( a ), X ) ) ] )
% 253.68/254.10 , clause( 13172, [ 'there_exists'( X ), ~( equivalent( codomain( a ), X ) )
% 253.68/254.10 ] )
% 253.68/254.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 253.68/254.10 1 )] ) ).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 eqswap(
% 253.68/254.10 clause( 24483, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 253.68/254.10 ) ] )
% 253.68/254.10 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 253.68/254.10 ] )
% 253.68/254.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 resolution(
% 253.68/254.10 clause( 24484, [ ~( =( X, codomain( a ) ) ), equivalent( codomain( a ), X )
% 253.68/254.10 ] )
% 253.68/254.10 , clause( 24483, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X
% 253.68/254.10 , Y ) ] )
% 253.68/254.10 , 1, clause( 11, [ 'there_exists'( codomain( a ) ) ] )
% 253.68/254.10 , 0, substitution( 0, [ :=( X, codomain( a ) ), :=( Y, X )] ),
% 253.68/254.10 substitution( 1, [] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 eqswap(
% 253.68/254.10 clause( 24485, [ ~( =( codomain( a ), X ) ), equivalent( codomain( a ), X )
% 253.68/254.10 ] )
% 253.68/254.10 , clause( 24484, [ ~( =( X, codomain( a ) ) ), equivalent( codomain( a ), X
% 253.68/254.10 ) ] )
% 253.68/254.10 , 0, substitution( 0, [ :=( X, X )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 subsumption(
% 253.68/254.10 clause( 46, [ ~( =( codomain( a ), X ) ), equivalent( codomain( a ), X ) ]
% 253.68/254.10 )
% 253.68/254.10 , clause( 24485, [ ~( =( codomain( a ), X ) ), equivalent( codomain( a ), X
% 253.68/254.10 ) ] )
% 253.68/254.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 253.68/254.10 1 )] ) ).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 eqswap(
% 253.68/254.10 clause( 24486, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 253.68/254.10 ) ] )
% 253.68/254.10 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 253.68/254.10 ] )
% 253.68/254.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 resolution(
% 253.68/254.10 clause( 24487, [ 'there_exists'( X ), ~( =( X, codomain( a ) ) ), ~(
% 253.68/254.10 'there_exists'( codomain( a ) ) ) ] )
% 253.68/254.10 , clause( 24, [ 'there_exists'( X ), ~( equivalent( codomain( a ), X ) ) ]
% 253.68/254.10 )
% 253.68/254.10 , 1, clause( 24486, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent(
% 253.68/254.10 X, Y ) ] )
% 253.68/254.10 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, codomain(
% 253.68/254.10 a ) ), :=( Y, X )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 resolution(
% 253.68/254.10 clause( 24488, [ 'there_exists'( X ), ~( =( X, codomain( a ) ) ) ] )
% 253.68/254.10 , clause( 24487, [ 'there_exists'( X ), ~( =( X, codomain( a ) ) ), ~(
% 253.68/254.10 'there_exists'( codomain( a ) ) ) ] )
% 253.68/254.10 , 2, clause( 11, [ 'there_exists'( codomain( a ) ) ] )
% 253.68/254.10 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 eqswap(
% 253.68/254.10 clause( 24489, [ ~( =( codomain( a ), X ) ), 'there_exists'( X ) ] )
% 253.68/254.10 , clause( 24488, [ 'there_exists'( X ), ~( =( X, codomain( a ) ) ) ] )
% 253.68/254.10 , 1, substitution( 0, [ :=( X, X )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 subsumption(
% 253.68/254.10 clause( 187, [ 'there_exists'( X ), ~( =( codomain( a ), X ) ) ] )
% 253.68/254.10 , clause( 24489, [ ~( =( codomain( a ), X ) ), 'there_exists'( X ) ] )
% 253.68/254.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 253.68/254.10 0 )] ) ).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 eqswap(
% 253.68/254.10 clause( 24490, [ ~( =( X, codomain( a ) ) ), 'there_exists'( X ) ] )
% 253.68/254.10 , clause( 187, [ 'there_exists'( X ), ~( =( codomain( a ), X ) ) ] )
% 253.68/254.10 , 1, substitution( 0, [ :=( X, X )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 resolution(
% 253.68/254.10 clause( 24491, [ 'there_exists'( X ), ~( =( domain( X ), codomain( a ) ) )
% 253.68/254.10 ] )
% 253.68/254.10 , clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 253.68/254.10 , 0, clause( 24490, [ ~( =( X, codomain( a ) ) ), 'there_exists'( X ) ] )
% 253.68/254.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain( X
% 253.68/254.10 ) )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 eqswap(
% 253.68/254.10 clause( 24492, [ ~( =( codomain( a ), domain( X ) ) ), 'there_exists'( X )
% 253.68/254.10 ] )
% 253.68/254.10 , clause( 24491, [ 'there_exists'( X ), ~( =( domain( X ), codomain( a ) )
% 253.68/254.10 ) ] )
% 253.68/254.10 , 1, substitution( 0, [ :=( X, X )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 subsumption(
% 253.68/254.10 clause( 202, [ ~( =( codomain( a ), domain( X ) ) ), 'there_exists'( X ) ]
% 253.68/254.10 )
% 253.68/254.10 , clause( 24492, [ ~( =( codomain( a ), domain( X ) ) ), 'there_exists'( X
% 253.68/254.10 ) ] )
% 253.68/254.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 253.68/254.10 1 )] ) ).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 eqswap(
% 253.68/254.10 clause( 24493, [ =( Y, X ), ~( equivalent( X, Y ) ) ] )
% 253.68/254.10 , clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 253.68/254.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 253.68/254.10
% 253.68/254.10
% 253.68/254.10 eqswap(
% 253.68/254.10 clause( 24494, [ =( X, compose( X, domain( X Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------