TSTP Solution File: CAT011-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 23:54:12 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 97.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun May 29 17:19:48 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13 [
% 0.72/1.13 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.72/1.13 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.72/1.13 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.72/1.13 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.72/1.13 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.72/1.13 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.72/1.13 ],
% 0.72/1.13 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.72/1.13 ) ],
% 0.72/1.13 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.72/1.13 ), 'there_exists'( compose( X, Y ) ) ],
% 0.72/1.13 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ =( compose( X, domain( X ) ), X ) ],
% 0.72/1.13 [ =( compose( codomain( X ), X ), X ) ],
% 0.72/1.13 [ 'there_exists'( domain( a ) ) ],
% 0.72/1.13 [ ~( =( domain( domain( a ) ), domain( a ) ) ) ]
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.347826, percentage horn = 1.000000
% 0.72/1.13 This is a problem with some equality
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 1
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 equivalent [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.13 'there_exists' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.72/1.13 domain [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.13 codomain [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.13 compose [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.13 a [47, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 0.72/1.13 )
% 0.72/1.13 .
% 0.72/1.13 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.72/1.13 codomain( Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 11, [ 'there_exists'( domain( a ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 12, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 23, [ 'there_exists'( X ), ~( equivalent( domain( a ), X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 31, [ 'there_exists'( a ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 46, [ ~( =( domain( a ), X ) ), equivalent( domain( a ), X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 190, [ 'there_exists'( X ), ~( =( domain( a ), X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 207, [ ~( =( domain( a ), codomain( X ) ) ), 'there_exists'( X ) ]
% 0.72/1.13 )
% 0.72/1.13 .
% 0.72/1.13 clause( 283, [ =( compose( Y, X ), X ), ~( equivalent( Y, codomain( X ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 333, [ ~( =( X, domain( a ) ) ), ~( equivalent( X, domain( domain(
% 0.72/1.13 a ) ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 338, [ ~( equivalent( domain( a ), domain( domain( a ) ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 670, [ ~( equivalent( domain( a ), codomain( X ) ) ), ~(
% 97.05/97.48 'there_exists'( X ) ) ] )
% 97.05/97.48 .
% 97.05/97.48 clause( 1702, [ ~( =( domain( a ), codomain( X ) ) ) ] )
% 97.05/97.48 .
% 97.05/97.48 clause( 1735, [ ~( 'there_exists'( compose( a, X ) ) ) ] )
% 97.05/97.48 .
% 97.05/97.48 clause( 1768, [] )
% 97.05/97.48 .
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 % SZS output end Refutation
% 97.05/97.48 found a proof!
% 97.05/97.48
% 97.05/97.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 97.05/97.48
% 97.05/97.48 initialclauses(
% 97.05/97.48 [ clause( 1770, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 97.05/97.48 , clause( 1771, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 97.05/97.48 , clause( 1772, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 97.05/97.48 Y ) ] )
% 97.05/97.48 , clause( 1773, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 97.05/97.48 )
% 97.05/97.48 , clause( 1774, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 97.05/97.48 ] )
% 97.05/97.48 , clause( 1775, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 97.05/97.48 domain( X ) ) ] )
% 97.05/97.48 , clause( 1776, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 97.05/97.48 codomain( Y ) ) ] )
% 97.05/97.48 , clause( 1777, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 97.05/97.48 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 97.05/97.48 , clause( 1778, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 97.05/97.48 ), Z ) ) ] )
% 97.05/97.48 , clause( 1779, [ =( compose( X, domain( X ) ), X ) ] )
% 97.05/97.48 , clause( 1780, [ =( compose( codomain( X ), X ), X ) ] )
% 97.05/97.48 , clause( 1781, [ 'there_exists'( domain( a ) ) ] )
% 97.05/97.48 , clause( 1782, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 97.05/97.48 ] ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 97.05/97.48 , clause( 1771, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 97.05/97.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.05/97.48 ), ==>( 1, 1 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 97.05/97.48 )
% 97.05/97.48 , clause( 1772, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 97.05/97.48 Y ) ] )
% 97.05/97.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.05/97.48 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 97.05/97.48 , clause( 1773, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 97.05/97.48 )
% 97.05/97.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 97.05/97.48 1 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 97.05/97.48 , clause( 1774, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 97.05/97.48 ] )
% 97.05/97.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 97.05/97.48 1 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 97.05/97.48 codomain( Y ) ) ] )
% 97.05/97.48 , clause( 1776, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 97.05/97.48 codomain( Y ) ) ] )
% 97.05/97.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.05/97.48 ), ==>( 1, 1 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 97.05/97.48 , clause( 1779, [ =( compose( X, domain( X ) ), X ) ] )
% 97.05/97.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 97.05/97.48 , clause( 1780, [ =( compose( codomain( X ), X ), X ) ] )
% 97.05/97.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 11, [ 'there_exists'( domain( a ) ) ] )
% 97.05/97.48 , clause( 1781, [ 'there_exists'( domain( a ) ) ] )
% 97.05/97.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 12, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 97.05/97.48 , clause( 1782, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 97.05/97.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 paramod(
% 97.05/97.48 clause( 13133, [ 'there_exists'( X ), ~( equivalent( domain( a ), X ) ) ]
% 97.05/97.48 )
% 97.05/97.48 , clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 97.05/97.48 , 1, clause( 11, [ 'there_exists'( domain( a ) ) ] )
% 97.05/97.48 , 0, 1, substitution( 0, [ :=( X, domain( a ) ), :=( Y, X )] ),
% 97.05/97.48 substitution( 1, [] )).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 subsumption(
% 97.05/97.48 clause( 23, [ 'there_exists'( X ), ~( equivalent( domain( a ), X ) ) ] )
% 97.05/97.48 , clause( 13133, [ 'there_exists'( X ), ~( equivalent( domain( a ), X ) ) ]
% 97.05/97.48 )
% 97.05/97.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 97.05/97.48 1 )] ) ).
% 97.05/97.48
% 97.05/97.48
% 97.05/97.48 resolution(
% 97.05/97.48 clause( 24444, [ 'there_exists'( a ) ] )
% 97.05/97.48 , clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 97.05/97.48 , 0, clause( 11, [ 'there_exists'( domain( a ) ) ] )
% 258.30/258.70 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 subsumption(
% 258.30/258.70 clause( 31, [ 'there_exists'( a ) ] )
% 258.30/258.70 , clause( 24444, [ 'there_exists'( a ) ] )
% 258.30/258.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 eqswap(
% 258.30/258.70 clause( 24445, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 258.30/258.70 ) ] )
% 258.30/258.70 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 258.30/258.70 ] )
% 258.30/258.70 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 resolution(
% 258.30/258.70 clause( 24446, [ ~( =( X, domain( a ) ) ), equivalent( domain( a ), X ) ]
% 258.30/258.70 )
% 258.30/258.70 , clause( 24445, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X
% 258.30/258.70 , Y ) ] )
% 258.30/258.70 , 1, clause( 11, [ 'there_exists'( domain( a ) ) ] )
% 258.30/258.70 , 0, substitution( 0, [ :=( X, domain( a ) ), :=( Y, X )] ), substitution(
% 258.30/258.70 1, [] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 eqswap(
% 258.30/258.70 clause( 24447, [ ~( =( domain( a ), X ) ), equivalent( domain( a ), X ) ]
% 258.30/258.70 )
% 258.30/258.70 , clause( 24446, [ ~( =( X, domain( a ) ) ), equivalent( domain( a ), X ) ]
% 258.30/258.70 )
% 258.30/258.70 , 0, substitution( 0, [ :=( X, X )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 subsumption(
% 258.30/258.70 clause( 46, [ ~( =( domain( a ), X ) ), equivalent( domain( a ), X ) ] )
% 258.30/258.70 , clause( 24447, [ ~( =( domain( a ), X ) ), equivalent( domain( a ), X ) ]
% 258.30/258.70 )
% 258.30/258.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 258.30/258.70 1 )] ) ).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 eqswap(
% 258.30/258.70 clause( 24448, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 258.30/258.70 ) ] )
% 258.30/258.70 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 258.30/258.70 ] )
% 258.30/258.70 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 resolution(
% 258.30/258.70 clause( 24449, [ 'there_exists'( X ), ~( =( X, domain( a ) ) ), ~(
% 258.30/258.70 'there_exists'( domain( a ) ) ) ] )
% 258.30/258.70 , clause( 23, [ 'there_exists'( X ), ~( equivalent( domain( a ), X ) ) ] )
% 258.30/258.70 , 1, clause( 24448, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent(
% 258.30/258.70 X, Y ) ] )
% 258.30/258.70 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain( a
% 258.30/258.70 ) ), :=( Y, X )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 resolution(
% 258.30/258.70 clause( 24450, [ 'there_exists'( X ), ~( =( X, domain( a ) ) ) ] )
% 258.30/258.70 , clause( 24449, [ 'there_exists'( X ), ~( =( X, domain( a ) ) ), ~(
% 258.30/258.70 'there_exists'( domain( a ) ) ) ] )
% 258.30/258.70 , 2, clause( 11, [ 'there_exists'( domain( a ) ) ] )
% 258.30/258.70 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 eqswap(
% 258.30/258.70 clause( 24451, [ ~( =( domain( a ), X ) ), 'there_exists'( X ) ] )
% 258.30/258.70 , clause( 24450, [ 'there_exists'( X ), ~( =( X, domain( a ) ) ) ] )
% 258.30/258.70 , 1, substitution( 0, [ :=( X, X )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 subsumption(
% 258.30/258.70 clause( 190, [ 'there_exists'( X ), ~( =( domain( a ), X ) ) ] )
% 258.30/258.70 , clause( 24451, [ ~( =( domain( a ), X ) ), 'there_exists'( X ) ] )
% 258.30/258.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 258.30/258.70 0 )] ) ).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 eqswap(
% 258.30/258.70 clause( 24452, [ ~( =( X, domain( a ) ) ), 'there_exists'( X ) ] )
% 258.30/258.70 , clause( 190, [ 'there_exists'( X ), ~( =( domain( a ), X ) ) ] )
% 258.30/258.70 , 1, substitution( 0, [ :=( X, X )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 resolution(
% 258.30/258.70 clause( 24453, [ 'there_exists'( X ), ~( =( codomain( X ), domain( a ) ) )
% 258.30/258.70 ] )
% 258.30/258.70 , clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ]
% 258.30/258.70 )
% 258.30/258.70 , 0, clause( 24452, [ ~( =( X, domain( a ) ) ), 'there_exists'( X ) ] )
% 258.30/258.70 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, codomain(
% 258.30/258.70 X ) )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 eqswap(
% 258.30/258.70 clause( 24454, [ ~( =( domain( a ), codomain( X ) ) ), 'there_exists'( X )
% 258.30/258.70 ] )
% 258.30/258.70 , clause( 24453, [ 'there_exists'( X ), ~( =( codomain( X ), domain( a ) )
% 258.30/258.70 ) ] )
% 258.30/258.70 , 1, substitution( 0, [ :=( X, X )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 subsumption(
% 258.30/258.70 clause( 207, [ ~( =( domain( a ), codomain( X ) ) ), 'there_exists'( X ) ]
% 258.30/258.70 )
% 258.30/258.70 , clause( 24454, [ ~( =( domain( a ), codomain( X ) ) ), 'there_exists'( X
% 258.30/258.70 ) ] )
% 258.30/258.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 258.30/258.70 1 )] ) ).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 eqswap(
% 258.30/258.70 clause( 24455, [ =( Y, X ), ~( equivalent( X, Y ) ) ] )
% 258.30/258.70 , clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 258.30/258.70 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 eqswap(
% 258.30/258.70 clause( 24456, [ =( X, compose( codomain( X ), X ) ) ] )
% 258.30/258.70 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 258.30/258.70 , 0, substitution( 0, [ :=( X, X )] )).
% 258.30/258.70
% 258.30/258.70
% 258.30/258.70 paramod(
% 258.30/258.70 clause( 24458, [ =( X, compose( Y, X ) ), ~( equivalent( Y, codomain( X ) )
% 258.30/258.70 ) ] )
% 258.30/258.70 , clause( 24455, [ =( Y, X ), ~(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------