TSTP Solution File: CAT017-3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT017-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 23:54:14 EDT 2022
% Result : Unsatisfiable 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CAT017-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.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 : Sun May 29 20:38:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.42/1.08 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.42/1.08 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.42/1.08 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.42/1.08 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.42/1.08 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.42/1.08 ],
% 0.42/1.08 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.42/1.08 ) ],
% 0.42/1.08 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.42/1.08 ), 'there_exists'( compose( X, Y ) ) ],
% 0.42/1.08 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.42/1.08 ,
% 0.42/1.08 [ =( compose( X, domain( X ) ), X ) ],
% 0.42/1.08 [ =( compose( codomain( X ), X ), X ) ],
% 0.42/1.08 [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 0.42/1.08 [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ),
% 0.42/1.08 equivalent( X, Y ) ],
% 0.42/1.08 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 0.42/1.08 ) ],
% 0.42/1.08 [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 0.42/1.08 [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 0.42/1.08 [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 0.42/1.08 [ 'there_exists'( a ) ],
% 0.42/1.08 [ ~( 'there_exists'( codomain( a ) ) ) ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 0.400000, percentage horn = 0.888889
% 0.42/1.08 This is a problem with some equality
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 1
% 0.42/1.08 useeqrefl = 1
% 0.42/1.08 useeqfact = 1
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 5
% 0.42/1.08 usesimpres = 3
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = eqrewr
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.08
% 0.42/1.08 termordering = kbo
% 0.42/1.08
% 0.42/1.08 litapriori = 0
% 0.42/1.08 termapriori = 1
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negord
% 0.42/1.08
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 1
% 0.42/1.08 increasemaxweight = 1
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 equivalent [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.08 'there_exists' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.42/1.08 domain [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.08 codomain [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.08 compose [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.42/1.08 f1 [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.42/1.08 a [48, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Unsatisfiable
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 0.42/1.08 X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 16, [ 'there_exists'( a ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 17, [ ~( 'there_exists'( codomain( a ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 55, [ ~( 'there_exists'( domain( codomain( a ) ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 64, [ ~( 'there_exists'( compose( codomain( a ), X ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 236, [] )
% 0.42/1.08 .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 initialclauses(
% 0.42/1.08 [ clause( 238, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.42/1.08 , clause( 239, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.42/1.08 , clause( 240, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 241, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 242, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 243, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.42/1.08 domain( X ) ) ] )
% 0.42/1.08 , clause( 244, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.42/1.08 codomain( Y ) ) ] )
% 0.42/1.08 , clause( 245, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 0.42/1.08 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.42/1.08 , clause( 246, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y )
% 0.42/1.08 , Z ) ) ] )
% 0.42/1.08 , clause( 247, [ =( compose( X, domain( X ) ), X ) ] )
% 0.42/1.08 , clause( 248, [ =( compose( codomain( X ), X ), X ) ] )
% 0.42/1.08 , clause( 249, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 0.42/1.08 , clause( 250, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =(
% 0.42/1.08 X, Y ) ), equivalent( X, Y ) ] )
% 0.42/1.08 , clause( 251, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.42/1.08 codomain( X ) ) ] )
% 0.42/1.08 , clause( 252, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.42/1.08 , clause( 253, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.42/1.08 , clause( 254, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 255, [ 'there_exists'( a ) ] )
% 0.42/1.08 , clause( 256, [ ~( 'there_exists'( codomain( a ) ) ) ] )
% 0.42/1.08 ] ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.42/1.08 , clause( 241, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.42/1.08 )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.08 1 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 0.42/1.08 X ) ) ] )
% 0.42/1.08 , clause( 243, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.42/1.08 domain( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 ), ==>( 1, 1 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.42/1.08 , clause( 248, [ =( compose( codomain( X ), X ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 16, [ 'there_exists'( a ) ] )
% 0.42/1.08 , clause( 255, [ 'there_exists'( a ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 17, [ ~( 'there_exists'( codomain( a ) ) ) ] )
% 0.42/1.08 , clause( 256, [ ~( 'there_exists'( codomain( a ) ) ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 324, [ ~( 'there_exists'( domain( codomain( a ) ) ) ) ] )
% 0.42/1.08 , clause( 17, [ ~( 'there_exists'( codomain( a ) ) ) ] )
% 0.42/1.08 , 0, clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.42/1.08 )
% 0.42/1.08 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, codomain( a ) )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 55, [ ~( 'there_exists'( domain( codomain( a ) ) ) ) ] )
% 0.42/1.08 , clause( 324, [ ~( 'there_exists'( domain( codomain( a ) ) ) ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 325, [ ~( 'there_exists'( compose( codomain( a ), X ) ) ) ] )
% 0.42/1.08 , clause( 55, [ ~( 'there_exists'( domain( codomain( a ) ) ) ) ] )
% 0.42/1.08 , 0, clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.42/1.08 domain( X ) ) ] )
% 0.42/1.08 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, codomain( a ) ), :=(
% 0.42/1.08 Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 64, [ ~( 'there_exists'( compose( codomain( a ), X ) ) ) ] )
% 0.42/1.08 , clause( 325, [ ~( 'there_exists'( compose( codomain( a ), X ) ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 327, [ ~( 'there_exists'( a ) ) ] )
% 0.42/1.08 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.42/1.08 , 0, clause( 64, [ ~( 'there_exists'( compose( codomain( a ), X ) ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, a )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 328, [] )
% 0.42/1.08 , clause( 327, [ ~( 'there_exists'( a ) ) ] )
% 0.42/1.08 , 0, clause( 16, [ 'there_exists'( a ) ] )
% 0.42/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 236, [] )
% 0.42/1.08 , clause( 328, [] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 end.
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 Memory use:
% 0.42/1.08
% 0.42/1.08 space for terms: 2682
% 0.42/1.08 space for clauses: 12608
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 clauses generated: 499
% 0.42/1.08 clauses kept: 237
% 0.42/1.08 clauses selected: 41
% 0.42/1.08 clauses deleted: 0
% 0.42/1.08 clauses inuse deleted: 0
% 0.42/1.08
% 0.42/1.08 subsentry: 1591
% 0.42/1.08 literals s-matched: 1235
% 0.42/1.08 literals matched: 933
% 0.42/1.08 full subsumption: 200
% 0.42/1.08
% 0.42/1.08 checksum: 180280110
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksem ended
%------------------------------------------------------------------------------