%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT014-3 : 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 0.68s 1.12s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT014-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.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 20:59:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.68/1.12 *** allocated 10000 integers for termspace/termends
% 0.68/1.12 *** allocated 10000 integers for clauses
% 0.68/1.12 *** allocated 10000 integers for justifications
% 0.68/1.12 Bliksem 1.12
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Automatic Strategy Selection
% 0.68/1.12
% 0.68/1.12 Clauses:
% 0.68/1.12 [
% 0.68/1.12 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.68/1.12 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.68/1.12 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.68/1.12 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.68/1.12 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.68/1.12 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.68/1.12 ],
% 0.68/1.12 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.68/1.12 ) ],
% 0.68/1.12 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.68/1.12 ), 'there_exists'( compose( X, Y ) ) ],
% 0.68/1.12 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.68/1.12 ,
% 0.68/1.12 [ =( compose( X, domain( X ) ), X ) ],
% 0.68/1.12 [ =( compose( codomain( X ), X ), X ) ],
% 0.68/1.12 [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 0.68/1.12 [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ),
% 0.68/1.12 equivalent( X, Y ) ],
% 0.68/1.12 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 0.68/1.12 ) ],
% 0.68/1.12 [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 0.68/1.12 [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 0.68/1.12 [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 0.68/1.12 [ 'there_exists'( codomain( a ) ) ],
% 0.68/1.12 [ ~( =( codomain( codomain( a ) ), codomain( a ) ) ) ]
% 0.68/1.12 ] .
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 percentage equality = 0.428571, percentage horn = 0.888889
% 0.68/1.12 This is a problem with some equality
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Options Used:
% 0.68/1.12
% 0.68/1.12 useres = 1
% 0.68/1.12 useparamod = 1
% 0.68/1.12 useeqrefl = 1
% 0.68/1.12 useeqfact = 1
% 0.68/1.12 usefactor = 1
% 0.68/1.12 usesimpsplitting = 0
% 0.68/1.12 usesimpdemod = 5
% 0.68/1.12 usesimpres = 3
% 0.68/1.12
% 0.68/1.12 resimpinuse = 1000
% 0.68/1.12 resimpclauses = 20000
% 0.68/1.12 substype = eqrewr
% 0.68/1.12 backwardsubs = 1
% 0.68/1.12 selectoldest = 5
% 0.68/1.12
% 0.68/1.12 litorderings [0] = split
% 0.68/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.12
% 0.68/1.12 termordering = kbo
% 0.68/1.12
% 0.68/1.12 litapriori = 0
% 0.68/1.12 termapriori = 1
% 0.68/1.12 litaposteriori = 0
% 0.68/1.12 termaposteriori = 0
% 0.68/1.12 demodaposteriori = 0
% 0.68/1.12 ordereqreflfact = 0
% 0.68/1.12
% 0.68/1.12 litselect = negord
% 0.68/1.12
% 0.68/1.12 maxweight = 15
% 0.68/1.12 maxdepth = 30000
% 0.68/1.12 maxlength = 115
% 0.68/1.12 maxnrvars = 195
% 0.68/1.12 excuselevel = 1
% 0.68/1.12 increasemaxweight = 1
% 0.68/1.12
% 0.68/1.12 maxselected = 10000000
% 0.68/1.12 maxnrclauses = 10000000
% 0.68/1.12
% 0.68/1.12 showgenerated = 0
% 0.68/1.12 showkept = 0
% 0.68/1.12 showselected = 0
% 0.68/1.12 showdeleted = 0
% 0.68/1.12 showresimp = 1
% 0.68/1.12 showstatus = 2000
% 0.68/1.12
% 0.68/1.12 prologoutput = 1
% 0.68/1.12 nrgoals = 5000000
% 0.68/1.12 totalproof = 1
% 0.68/1.12
% 0.68/1.12 Symbols occurring in the translation:
% 0.68/1.12
% 0.68/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.12 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.68/1.12 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.68/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.12 equivalent [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.68/1.12 'there_exists' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.68/1.12 domain [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.12 codomain [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.68/1.12 compose [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.68/1.12 f1 [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.68/1.12 a [48, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Starting Search:
% 0.68/1.12
% 0.68/1.12 Resimplifying inuse:
% 0.68/1.12 Done
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Bliksems!, er is een bewijs:
% 0.68/1.12 % SZS status Unsatisfiable
% 0.68/1.12 % SZS output start Refutation
% 0.68/1.12
% 0.68/1.12 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.68/1.12 codomain( Y ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 13, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 14, [ =( f1( X, Y ), X ), =( f1( X, Y ), Y ), =( X, Y ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 15, [ ~( =( f1( X, Y ), X ) ), ~( =( f1( X, Y ), Y ) ), =( X, Y ) ]
% 0.68/1.12 )
% 0.68/1.12 .
% 0.68/1.12 clause( 16, [ 'there_exists'( codomain( a ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 17, [ ~( =( codomain( codomain( a ) ), codomain( a ) ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 19, [ ~( =( X, Y ) ), =( f1( Y, X ), Y ), =( Y, X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 31, [ 'there_exists'( a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 544, [ 'there_exists'( X ), =( X, Y ), =( f1( X, Y ), Y ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 607, [ 'there_exists'( X ), =( f1( X, codomain( a ) ), X ), =( f1(
% 0.68/1.12 X, codomain( a ) ), codomain( a ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 609, [ 'there_exists'( X ), =( f1( X, codomain( a ) ), codomain( a
% 0.68/1.12 ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 753, [ ~( =( Z, X ) ), ~( =( Z, Y ) ), =( X, Y ), ~( =( f1( Z, f1(
% 0.68/1.12 X, Y ) ), Z ) ), ~( =( f1( Z, f1( X, Y ) ), f1( X, Y ) ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 830, [ 'there_exists'( X ), ~( =( codomain( a ), X ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 832, [ ~( =( X, Y ) ), =( Y, X ), ~( =( X, Y ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 833, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 883, [ =( compose( X, Y ), X ), ~( =( Y, domain( X ) ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 973, [ ~( =( domain( X ), codomain( a ) ) ), ~( 'there_exists'( X )
% 0.68/1.12 ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 993, [ ~( =( codomain( a ), domain( X ) ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 1021, [ ~( =( codomain( a ), codomain( Y ) ) ), ~( 'there_exists'(
% 0.68/1.12 compose( X, Y ) ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 1029, [ ~( 'there_exists'( compose( X, a ) ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 1055, [] )
% 0.68/1.12 .
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 % SZS output end Refutation
% 0.68/1.12 found a proof!
% 0.68/1.12
% 0.68/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.12
% 0.68/1.12 initialclauses(
% 0.68/1.12 [ clause( 1057, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.68/1.12 , clause( 1058, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.68/1.12 , clause( 1059, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 0.68/1.12 Y ) ] )
% 0.68/1.12 , clause( 1060, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 1061, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 1062, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.68/1.12 domain( X ) ) ] )
% 0.68/1.12 , clause( 1063, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.68/1.12 codomain( Y ) ) ] )
% 0.68/1.12 , clause( 1064, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 0.68/1.12 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.68/1.12 , clause( 1065, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.68/1.12 ), Z ) ) ] )
% 0.68/1.12 , clause( 1066, [ =( compose( X, domain( X ) ), X ) ] )
% 0.68/1.12 , clause( 1067, [ =( compose( codomain( X ), X ), X ) ] )
% 0.68/1.12 , clause( 1068, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 0.68/1.12 , clause( 1069, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~(
% 0.68/1.12 =( X, Y ) ), equivalent( X, Y ) ] )
% 0.68/1.12 , clause( 1070, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.68/1.12 codomain( X ) ) ] )
% 0.68/1.12 , clause( 1071, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.68/1.12 , clause( 1072, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.68/1.12 , clause( 1073, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 1074, [ 'there_exists'( codomain( a ) ) ] )
% 0.68/1.12 , clause( 1075, [ ~( =( codomain( codomain( a ) ), codomain( a ) ) ) ] )
% 0.68/1.12 ] ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.68/1.12 , clause( 1060, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.68/1.12 )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.12 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.68/1.12 , clause( 1061, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.68/1.12 ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.12 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.68/1.12 codomain( Y ) ) ] )
% 0.68/1.12 , clause( 1063, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.68/1.12 codomain( Y ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.12 ), ==>( 1, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.68/1.12 , clause( 1066, [ =( compose( X, domain( X ) ), X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.68/1.12 , clause( 1067, [ =( compose( codomain( X ), X ), X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 13, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.68/1.12 , clause( 1071, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.12 ), ==>( 1, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 eqswap(
% 0.68/1.12 clauseCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------