%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT012-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 0.81s 1.20s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT012-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n021.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 22:16:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.81/1.20 *** allocated 10000 integers for termspace/termends
% 0.81/1.20 *** allocated 10000 integers for clauses
% 0.81/1.20 *** allocated 10000 integers for justifications
% 0.81/1.20 Bliksem 1.12
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Automatic Strategy Selection
% 0.81/1.20
% 0.81/1.20 Clauses:
% 0.81/1.20 [
% 0.81/1.20 [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ],
% 0.81/1.20 [ ~( product( X, Y, Z ) ), defined( X, Y ) ],
% 0.81/1.20 [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T ) ],
% 0.81/1.20 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined( Z, T ) )
% 0.81/1.20 , defined( X, U ) ],
% 0.81/1.20 [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product( Y, T, W
% 0.81/1.20 ) ), product( X, W, U ) ],
% 0.81/1.20 [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X ) ],
% 0.81/1.20 [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~( defined( T, Z ) )
% 0.81/1.20 , defined( U, Y ) ],
% 0.81/1.20 [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~( product( T, X, W
% 0.81/1.20 ) ), product( W, Y, U ) ],
% 0.81/1.20 [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'( Y ) ),
% 0.81/1.20 defined( X, Z ) ],
% 0.81/1.20 [ 'identity_map'( domain( X ) ) ],
% 0.81/1.20 [ 'identity_map'( codomain( X ) ) ],
% 0.81/1.20 [ defined( X, domain( X ) ) ],
% 0.81/1.20 [ defined( codomain( X ), X ) ],
% 0.81/1.20 [ product( X, domain( X ), X ) ],
% 0.81/1.20 [ product( codomain( X ), X, X ) ],
% 0.81/1.20 [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y, Y ) ]
% 0.81/1.20 ,
% 0.81/1.20 [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y, X ) ]
% 0.81/1.20 ,
% 0.81/1.20 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.81/1.20 [ ~( =( codomain( domain( a ) ), domain( a ) ) ) ]
% 0.81/1.20 ] .
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 percentage equality = 0.043478, percentage horn = 1.000000
% 0.81/1.20 This is a problem with some equality
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Options Used:
% 0.81/1.20
% 0.81/1.20 useres = 1
% 0.81/1.20 useparamod = 1
% 0.81/1.20 useeqrefl = 1
% 0.81/1.20 useeqfact = 1
% 0.81/1.20 usefactor = 1
% 0.81/1.20 usesimpsplitting = 0
% 0.81/1.20 usesimpdemod = 5
% 0.81/1.20 usesimpres = 3
% 0.81/1.20
% 0.81/1.20 resimpinuse = 1000
% 0.81/1.20 resimpclauses = 20000
% 0.81/1.20 substype = eqrewr
% 0.81/1.20 backwardsubs = 1
% 0.81/1.20 selectoldest = 5
% 0.81/1.20
% 0.81/1.20 litorderings [0] = split
% 0.81/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.20
% 0.81/1.20 termordering = kbo
% 0.81/1.20
% 0.81/1.20 litapriori = 0
% 0.81/1.20 termapriori = 1
% 0.81/1.20 litaposteriori = 0
% 0.81/1.20 termaposteriori = 0
% 0.81/1.20 demodaposteriori = 0
% 0.81/1.20 ordereqreflfact = 0
% 0.81/1.20
% 0.81/1.20 litselect = negord
% 0.81/1.20
% 0.81/1.20 maxweight = 15
% 0.81/1.20 maxdepth = 30000
% 0.81/1.20 maxlength = 115
% 0.81/1.20 maxnrvars = 195
% 0.81/1.20 excuselevel = 1
% 0.81/1.20 increasemaxweight = 1
% 0.81/1.20
% 0.81/1.20 maxselected = 10000000
% 0.81/1.20 maxnrclauses = 10000000
% 0.81/1.20
% 0.81/1.20 showgenerated = 0
% 0.81/1.20 showkept = 0
% 0.81/1.20 showselected = 0
% 0.81/1.20 showdeleted = 0
% 0.81/1.20 showresimp = 1
% 0.81/1.20 showstatus = 2000
% 0.81/1.20
% 0.81/1.20 prologoutput = 1
% 0.81/1.20 nrgoals = 5000000
% 0.81/1.20 totalproof = 1
% 0.81/1.20
% 0.81/1.20 Symbols occurring in the translation:
% 0.81/1.20
% 0.81/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.20 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.81/1.20 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.81/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.20 defined [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.81/1.20 compose [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.81/1.20 product [43, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.81/1.20 'identity_map' [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.81/1.20 domain [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.81/1.20 codomain [50, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.81/1.20 a [52, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Starting Search:
% 0.81/1.20
% 0.81/1.20 Resimplifying inuse:
% 0.81/1.20 Done
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Intermediate Status:
% 0.81/1.20 Generated: 5037
% 0.81/1.20 Kept: 2250
% 0.81/1.20 Inuse: 126
% 0.81/1.20 Deleted: 1
% 0.81/1.20 Deletedinuse: 0
% 0.81/1.20
% 0.81/1.20 Resimplifying inuse:
% 0.81/1.20 Done
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Bliksems!, er is een bewijs:
% 0.81/1.20 % SZS status Unsatisfiable
% 0.81/1.20 % SZS output start Refutation
% 0.81/1.20
% 0.81/1.20 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 12, [ defined( codomain( X ), X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 14, [ product( codomain( X ), X, X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y
% 0.81/1.20 , X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.81/1.20 )
% 0.81/1.20 .
% 0.81/1.20 clause( 18, [ ~( =( codomain( domain( a ) ), domain( a ) ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 664, [ ~( product( codomain( X ), X, Y ) ), =( X, Y ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 2369, [ =( codomain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 2701, [] )
% 0.81/1.20 .
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 % SZS output end Refutation
% 0.81/1.20 found a proof!
% 0.81/1.20
% 0.81/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.20
% 0.81/1.20 initialclauses(
% 0.81/1.20 [ clause( 2703, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 0.81/1.20 )
% 0.81/1.20 , clause( 2704, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 0.81/1.20 , clause( 2705, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y
% 0.81/1.20 , T ) ] )
% 0.81/1.20 , clause( 2706, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.81/1.20 defined( Z, T ) ), defined( X, U ) ] )
% 0.81/1.20 , clause( 2707, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 0.81/1.20 product( Y, T, W ) ), product( X, W, U ) ] )
% 0.81/1.20 , clause( 2708, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T
% 0.81/1.20 , X ) ] )
% 0.81/1.20 , clause( 2709, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~(
% 0.81/1.20 defined( T, Z ) ), defined( U, Y ) ] )
% 0.81/1.20 , clause( 2710, [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~(
% 0.81/1.20 product( T, X, W ) ), product( W, Y, U ) ] )
% 0.81/1.20 , clause( 2711, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.81/1.20 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.81/1.20 , clause( 2712, [ 'identity_map'( domain( X ) ) ] )
% 0.81/1.20 , clause( 2713, [ 'identity_map'( codomain( X ) ) ] )
% 0.81/1.20 , clause( 2714, [ defined( X, domain( X ) ) ] )
% 0.81/1.20 , clause( 2715, [ defined( codomain( X ), X ) ] )
% 0.81/1.20 , clause( 2716, [ product( X, domain( X ), X ) ] )
% 0.81/1.20 , clause( 2717, [ product( codomain( X ), X, X ) ] )
% 0.81/1.20 , clause( 2718, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 0.81/1.20 X, Y, Y ) ] )
% 0.81/1.20 , clause( 2719, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 0.81/1.20 X, Y, X ) ] )
% 0.81/1.20 , clause( 2720, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.81/1.20 ) ] )
% 0.81/1.20 , clause( 2721, [ ~( =( codomain( domain( a ) ), domain( a ) ) ) ] )
% 0.81/1.20 ] ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.81/1.20 , clause( 2712, [ 'identity_map'( domain( X ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 12, [ defined( codomain( X ), X ) ] )
% 0.81/1.20 , clause( 2715, [ defined( codomain( X ), X ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 14, [ product( codomain( X ), X, X ) ] )
% 0.81/1.20 , clause( 2717, [ product( codomain( X ), X, X ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y
% 0.81/1.20 , X ) ] )
% 0.81/1.20 , clause( 2719, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 0.81/1.20 X, Y, X ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.81/1.20 )
% 0.81/1.20 , clause( 2720, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.81/1.20 ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 18, [ ~( =( codomain( domain( a ) ), domain( a ) ) ) ] )
% 0.81/1.20 , clause( 2721, [ ~( =( codomain( domain( a ) ), domain( a ) ) ) ] )
% 0.81/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 resolution(
% 0.81/1.20 clause( 2791, [ ~( product( codomain( X ), X, Y ) ), =( X, Y ) ] )
% 0.81/1.20 , clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.81/1.20 ] )
% 0.81/1.20 , 0, clause( 14, [ product( codomain( X ), X, X ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, codomain( X ) ), :=( Y, X ), :=( Z, X ),
% 0.81/1.20 :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 664, [ ~( product( codomain( X ), X, Y ) ), =( X, Y ) ] )
% 0.81/1.20 , clause( 2791, [ ~( product( codomain( X ), X, Y ) ), =( X, Y ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 ), ==>( 1, 1 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2793, [ =( Y, X ), ~( product( codomain( X ), X, Y ) ) ] )
% 0.81/1.20 , clause( 664, [ ~( product( codomain( X ), X, Y ) ), =( X, Y ) ] )
% 0.81/1.20 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 resolution(
% 0.81/1.20 clause( 2794, [ =( codomain( X ), X ), ~( defined( codomain( X ), X ) ),
% 0.81/1.20 ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 , clause( 2793, [ =( Y, X ), ~( product( codomain( X ), X, Y ) ) ] )
% 0.81/1.20 , 1, clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 0.81/1.20 X, Y, X ) ] )
% 0.81/1.20 , 2, substitution( 0, [ :=( X, X ), :=( Y, codomain( X ) )] ),
% 0.81/1.20 substitution( 1, [ :=( X, codomain( X ) ), :=( Y, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 resolution(
% 0.81/1.20 clause( 2795, [ =( codomain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 , clause( 2794, [ =( codomain( X ), X ), ~( defined( codomain( X ), X ) ),
% 0.81/1.20 ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 , 1, clause( 12, [ defined( codomain( X ), X ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.81/1.20 ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 2369, [ =( codomain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 , clause( 2795, [ =( codomain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.81/1.20 1 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2797, [ =( X, codomain( X ) ), ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 , clause( 2369, [ =( codomain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2798, [ ~( =( domain( a ), codomain( domain( a ) ) ) ) ] )
% 0.81/1.20 , clause( 18, [ ~( =( codomain( domain( a ) ), domain( a ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 resolution(
% 0.81/1.20 clause( 2799, [ ~( 'identity_map'( domain( a ) ) ) ] )
% 0.81/1.20 , clause( 2798, [ ~( =( domain( a ), codomain( domain( a ) ) ) ) ] )
% 0.81/1.20 , 0, clause( 2797, [ =( X, codomain( X ) ), ~( 'identity_map'( X ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, domain( a ) )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 resolution(
% 0.81/1.20 clause( 2800, [] )
% 0.81/1.20 , clause( 2799, [ ~( 'identity_map'( domain( a ) ) ) ] )
% 0.81/1.20 , 0, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 2701, [] )
% 0.81/1.20 , clause( 2800, [] )
% 0.81/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 end.
% 0.81/1.20
% 0.81/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.20
% 0.81/1.20 Memory use:
% 0.81/1.20
% 0.81/1.20 space for terms: 38061
% 0.81/1.20 space for clauses: 125268
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 clauses generated: 6652
% 0.81/1.20 clauses kept: 2702
% 0.81/1.20 clauses selected: 147
% 0.81/1.20 clauses deleted: 11
% 0.81/1.20 clauses inuse deleted: 9
% 0.81/1.20
% 0.81/1.20 subsentry: 107835
% 0.81/1.20 literals s-matched: 39238
% 0.81/1.20 literals matched: 32476
% 0.81/1.20 full subsumption: 18313
% 0.81/1.20
% 0.81/1.20 checksum: -1836899114
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Bliksem ended
%------------------------------------------------------------------------------