%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT013-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 0.79s 1.18s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CAT013-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sun May 29 23:37:26 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.79/1.18 *** allocated 10000 integers for termspace/termends
% 0.79/1.18 *** allocated 10000 integers for clauses
% 0.79/1.18 *** allocated 10000 integers for justifications
% 0.79/1.18 Bliksem 1.12
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Automatic Strategy Selection
% 0.79/1.18
% 0.79/1.18 Clauses:
% 0.79/1.18 [
% 0.79/1.18 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.79/1.18 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.79/1.18 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.79/1.18 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.79/1.18 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.79/1.18 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.79/1.18 ],
% 0.79/1.18 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.79/1.18 ) ],
% 0.79/1.18 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.79/1.18 ), 'there_exists'( compose( X, Y ) ) ],
% 0.79/1.18 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.79/1.18 ,
% 0.79/1.18 [ =( compose( X, domain( X ) ), X ) ],
% 0.79/1.18 [ =( compose( codomain( X ), X ), X ) ],
% 0.79/1.18 [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 0.79/1.18 [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ),
% 0.79/1.18 equivalent( X, Y ) ],
% 0.79/1.18 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 0.79/1.18 ) ],
% 0.79/1.18 [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 0.79/1.18 [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 0.79/1.18 [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 0.79/1.18 [ 'there_exists'( codomain( a ) ) ],
% 0.79/1.18 [ ~( =( domain( codomain( a ) ), codomain( a ) ) ) ]
% 0.79/1.18 ] .
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 percentage equality = 0.428571, percentage horn = 0.888889
% 0.79/1.18 This is a problem with some equality
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Options Used:
% 0.79/1.18
% 0.79/1.18 useres = 1
% 0.79/1.18 useparamod = 1
% 0.79/1.18 useeqrefl = 1
% 0.79/1.18 useeqfact = 1
% 0.79/1.18 usefactor = 1
% 0.79/1.18 usesimpsplitting = 0
% 0.79/1.18 usesimpdemod = 5
% 0.79/1.18 usesimpres = 3
% 0.79/1.18
% 0.79/1.18 resimpinuse = 1000
% 0.79/1.18 resimpclauses = 20000
% 0.79/1.18 substype = eqrewr
% 0.79/1.18 backwardsubs = 1
% 0.79/1.18 selectoldest = 5
% 0.79/1.18
% 0.79/1.18 litorderings [0] = split
% 0.79/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.18
% 0.79/1.18 termordering = kbo
% 0.79/1.18
% 0.79/1.18 litapriori = 0
% 0.79/1.18 termapriori = 1
% 0.79/1.18 litaposteriori = 0
% 0.79/1.18 termaposteriori = 0
% 0.79/1.18 demodaposteriori = 0
% 0.79/1.18 ordereqreflfact = 0
% 0.79/1.18
% 0.79/1.18 litselect = negord
% 0.79/1.18
% 0.79/1.18 maxweight = 15
% 0.79/1.18 maxdepth = 30000
% 0.79/1.18 maxlength = 115
% 0.79/1.18 maxnrvars = 195
% 0.79/1.18 excuselevel = 1
% 0.79/1.18 increasemaxweight = 1
% 0.79/1.18
% 0.79/1.18 maxselected = 10000000
% 0.79/1.18 maxnrclauses = 10000000
% 0.79/1.18
% 0.79/1.18 showgenerated = 0
% 0.79/1.18 showkept = 0
% 0.79/1.18 showselected = 0
% 0.79/1.18 showdeleted = 0
% 0.79/1.18 showresimp = 1
% 0.79/1.18 showstatus = 2000
% 0.79/1.18
% 0.79/1.18 prologoutput = 1
% 0.79/1.18 nrgoals = 5000000
% 0.79/1.18 totalproof = 1
% 0.79/1.18
% 0.79/1.18 Symbols occurring in the translation:
% 0.79/1.18
% 0.79/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.18 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.79/1.18 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.79/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.18 equivalent [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.79/1.18 'there_exists' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.79/1.18 domain [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.79/1.18 codomain [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.79/1.18 compose [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.79/1.18 f1 [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.79/1.18 a [48, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Bliksems!, er is een bewijs:
% 0.79/1.18 % SZS status Unsatisfiable
% 0.79/1.18 % SZS output start Refutation
% 0.79/1.18
% 0.79/1.18 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.79/1.18 codomain( Y ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 14, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( X, Y ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 15, [ ~( =( f1( X, Y ), X ) ), ~( =( f1( X, Y ), Y ) ), =( X, Y ) ]
% 0.79/1.18 )
% 0.79/1.18 .
% 0.79/1.18 clause( 16, [ 'there_exists'( codomain( a ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 17, [ ~( =( domain( codomain( a ) ), codomain( a ) ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 19, [ ~( =( X, Y ) ), =( f1( Y, X ), Y ), =( Y, X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 31, [ 'there_exists'( a ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 753, [ ~( =( Z, X ) ), ~( =( Z, Y ) ), =( X, Y ), ~( =( f1( Z, f1(
% 0.79/1.18 X, Y ) ), Z ) ), ~( =( f1( Z, f1( X, Y ) ), f1( X, Y ) ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 832, [ ~( =( X, Y ) ), =( Y, X ), ~( =( X, Y ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 833, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 887, [ =( compose( Y, X ), X ), ~( =( Y, codomain( X ) ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 973, [ ~( =( codomain( X ), codomain( a ) ) ), ~( 'there_exists'( X
% 0.79/1.18 ) ) ] )
% 0.79/1.18 .
% 0.79/1.18 clause( 983, [] )
% 0.79/1.18 .
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 % SZS output end Refutation
% 0.79/1.18 found a proof!
% 0.79/1.18
% 0.79/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.18
% 0.79/1.18 initialclauses(
% 0.79/1.18 [ clause( 985, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.79/1.18 , clause( 986, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.79/1.18 , clause( 987, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 988, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 989, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 990, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.79/1.18 domain( X ) ) ] )
% 0.79/1.18 , clause( 991, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.79/1.18 codomain( Y ) ) ] )
% 0.79/1.18 , clause( 992, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 0.79/1.18 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.79/1.18 , clause( 993, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y )
% 0.79/1.18 , Z ) ) ] )
% 0.79/1.18 , clause( 994, [ =( compose( X, domain( X ) ), X ) ] )
% 0.79/1.18 , clause( 995, [ =( compose( codomain( X ), X ), X ) ] )
% 0.79/1.18 , clause( 996, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 0.79/1.18 , clause( 997, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =(
% 0.79/1.18 X, Y ) ), equivalent( X, Y ) ] )
% 0.79/1.18 , clause( 998, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.79/1.18 codomain( X ) ) ] )
% 0.79/1.18 , clause( 999, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.79/1.18 , clause( 1000, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.79/1.18 , clause( 1001, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 1002, [ 'there_exists'( codomain( a ) ) ] )
% 0.79/1.18 , clause( 1003, [ ~( =( domain( codomain( a ) ), codomain( a ) ) ) ] )
% 0.79/1.18 ] ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.79/1.18 , clause( 989, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.79/1.18 ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.79/1.18 1 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.79/1.18 codomain( Y ) ) ] )
% 0.79/1.18 , clause( 991, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.79/1.18 codomain( Y ) ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.18 ), ==>( 1, 1 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.79/1.18 , clause( 995, [ =( compose( codomain( X ), X ), X ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 1028, [ =( Y, X ), =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ) ] )
% 0.79/1.18 , clause( 1000, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.79/1.18 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 1030, [ =( f1( Y, X ), X ), =( X, Y ), =( Y, f1( Y, X ) ) ] )
% 0.79/1.18 , clause( 1028, [ =( Y, X ), =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ) ] )
% 0.79/1.18 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 1031, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( Y, X ) ] )
% 0.79/1.18 , clause( 1030, [ =( f1( Y, X ), X ), =( X, Y ), =( Y, f1( Y, X ) ) ] )
% 0.79/1.18 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 1032, [ =( Y, X ), =( f1( Y, X ), Y ), =( f1( Y, X ), X ) ] )
% 0.79/1.18 , clause( 1031, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( Y, X ) ] )
% 0.79/1.18 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 14, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( X, Y ) ] )
% 0.79/1.18 , clause( 1032, [ =( Y, X ), =( f1( Y, X ), Y ), =( f1( Y, X ), X ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 0.79/1.18 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 1056, [ =( Y, X ), ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 1001, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.79/1.18 ) ] )
% 0.79/1.18 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 1058, [ ~( =( f1( Y, X ), X ) ), =( X, Y ), ~( =( Y, f1( Y, X ) ) )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 1056, [ =( Y, X ), ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) )
% 0.79/1.18 ) ] )
% 0.79/1.18 , 2, substitution(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------