TSTP Solution File: CAT006-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 23:54:10 EDT 2022
% Result : Unsatisfiable 2.16s 2.56s
% Output : Refutation 2.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CAT006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun May 29 19:07:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.16/2.56 *** allocated 10000 integers for termspace/termends
% 2.16/2.56 *** allocated 10000 integers for clauses
% 2.16/2.56 *** allocated 10000 integers for justifications
% 2.16/2.56 Bliksem 1.12
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Automatic Strategy Selection
% 2.16/2.56
% 2.16/2.56 Clauses:
% 2.16/2.56 [
% 2.16/2.56 [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ],
% 2.16/2.56 [ ~( product( X, Y, Z ) ), defined( X, Y ) ],
% 2.16/2.56 [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T ) ],
% 2.16/2.56 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined( Z, T ) )
% 2.16/2.56 , defined( X, U ) ],
% 2.16/2.56 [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product( Y, T, W
% 2.16/2.56 ) ), product( X, W, U ) ],
% 2.16/2.56 [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X ) ],
% 2.16/2.56 [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~( defined( T, Z ) )
% 2.16/2.56 , defined( U, Y ) ],
% 2.16/2.56 [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~( product( T, X, W
% 2.16/2.56 ) ), product( W, Y, U ) ],
% 2.16/2.56 [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'( Y ) ),
% 2.16/2.56 defined( X, Z ) ],
% 2.16/2.56 [ 'identity_map'( domain( X ) ) ],
% 2.16/2.56 [ 'identity_map'( codomain( X ) ) ],
% 2.16/2.56 [ defined( X, domain( X ) ) ],
% 2.16/2.56 [ defined( codomain( X ), X ) ],
% 2.16/2.56 [ product( X, domain( X ), X ) ],
% 2.16/2.56 [ product( codomain( X ), X, X ) ],
% 2.16/2.56 [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y, Y ) ]
% 2.16/2.56 ,
% 2.16/2.56 [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y, X ) ]
% 2.16/2.56 ,
% 2.16/2.56 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 2.16/2.56 [ defined( h, a ) ],
% 2.16/2.56 [ 'identity_map'( h ) ],
% 2.16/2.56 [ ~( =( codomain( a ), h ) ) ]
% 2.16/2.56 ] .
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 percentage equality = 0.041667, percentage horn = 1.000000
% 2.16/2.56 This is a problem with some equality
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Options Used:
% 2.16/2.56
% 2.16/2.56 useres = 1
% 2.16/2.56 useparamod = 1
% 2.16/2.56 useeqrefl = 1
% 2.16/2.56 useeqfact = 1
% 2.16/2.56 usefactor = 1
% 2.16/2.56 usesimpsplitting = 0
% 2.16/2.56 usesimpdemod = 5
% 2.16/2.56 usesimpres = 3
% 2.16/2.56
% 2.16/2.56 resimpinuse = 1000
% 2.16/2.56 resimpclauses = 20000
% 2.16/2.56 substype = eqrewr
% 2.16/2.56 backwardsubs = 1
% 2.16/2.56 selectoldest = 5
% 2.16/2.56
% 2.16/2.56 litorderings [0] = split
% 2.16/2.56 litorderings [1] = extend the termordering, first sorting on arguments
% 2.16/2.56
% 2.16/2.56 termordering = kbo
% 2.16/2.56
% 2.16/2.56 litapriori = 0
% 2.16/2.56 termapriori = 1
% 2.16/2.56 litaposteriori = 0
% 2.16/2.56 termaposteriori = 0
% 2.16/2.56 demodaposteriori = 0
% 2.16/2.56 ordereqreflfact = 0
% 2.16/2.56
% 2.16/2.56 litselect = negord
% 2.16/2.56
% 2.16/2.56 maxweight = 15
% 2.16/2.56 maxdepth = 30000
% 2.16/2.56 maxlength = 115
% 2.16/2.56 maxnrvars = 195
% 2.16/2.56 excuselevel = 1
% 2.16/2.56 increasemaxweight = 1
% 2.16/2.56
% 2.16/2.56 maxselected = 10000000
% 2.16/2.56 maxnrclauses = 10000000
% 2.16/2.56
% 2.16/2.56 showgenerated = 0
% 2.16/2.56 showkept = 0
% 2.16/2.56 showselected = 0
% 2.16/2.56 showdeleted = 0
% 2.16/2.56 showresimp = 1
% 2.16/2.56 showstatus = 2000
% 2.16/2.56
% 2.16/2.56 prologoutput = 1
% 2.16/2.56 nrgoals = 5000000
% 2.16/2.56 totalproof = 1
% 2.16/2.56
% 2.16/2.56 Symbols occurring in the translation:
% 2.16/2.56
% 2.16/2.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.16/2.56 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 2.16/2.56 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 2.16/2.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.16/2.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.16/2.56 defined [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 2.16/2.56 compose [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 2.16/2.56 product [43, 3] (w:1, o:53, a:1, s:1, b:0),
% 2.16/2.56 'identity_map' [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.16/2.56 domain [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.16/2.56 codomain [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.16/2.56 h [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.16/2.56 a [53, 0] (w:1, o:17, a:1, s:1, b:0).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Starting Search:
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Intermediate Status:
% 2.16/2.56 Generated: 6081
% 2.16/2.56 Kept: 2000
% 2.16/2.56 Inuse: 128
% 2.16/2.56 Deleted: 7
% 2.16/2.56 Deletedinuse: 2
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Intermediate Status:
% 2.16/2.56 Generated: 10817
% 2.16/2.56 Kept: 4013
% 2.16/2.56 Inuse: 207
% 2.16/2.56 Deleted: 21
% 2.16/2.56 Deletedinuse: 10
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Intermediate Status:
% 2.16/2.56 Generated: 18420
% 2.16/2.56 Kept: 6032
% 2.16/2.56 Inuse: 273
% 2.16/2.56 Deleted: 24
% 2.16/2.56 Deletedinuse: 10
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Intermediate Status:
% 2.16/2.56 Generated: 24903
% 2.16/2.56 Kept: 8039
% 2.16/2.56 Inuse: 336
% 2.16/2.56 Deleted: 34
% 2.16/2.56 Deletedinuse: 13
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Intermediate Status:
% 2.16/2.56 Generated: 32211
% 2.16/2.56 Kept: 10040
% 2.16/2.56 Inuse: 391
% 2.16/2.56 Deleted: 39
% 2.16/2.56 Deletedinuse: 14
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Intermediate Status:
% 2.16/2.56 Generated: 39650
% 2.16/2.56 Kept: 12049
% 2.16/2.56 Inuse: 453
% 2.16/2.56 Deleted: 47
% 2.16/2.56 Deletedinuse: 16
% 2.16/2.56
% 2.16/2.56 Resimplifying inuse:
% 2.16/2.56 Done
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Bliksems!, er is een bewijs:
% 2.16/2.56 % SZS status Unsatisfiable
% 2.16/2.56 % SZS output start Refutation
% 2.16/2.56
% 2.16/2.56 clause( 1, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T )
% 2.16/2.56 ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 5, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X )
% 2.16/2.56 ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 10, [ 'identity_map'( codomain( X ) ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 12, [ defined( codomain( X ), X ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 14, [ product( codomain( X ), X, X ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 2.16/2.56 , Y ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y
% 2.16/2.56 , X ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 2.16/2.56 )
% 2.16/2.56 .
% 2.16/2.56 clause( 18, [ defined( h, a ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 19, [ 'identity_map'( h ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 20, [ ~( =( codomain( a ), h ) ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 38, [ ~( defined( X, h ) ), product( X, h, X ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 45, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z, T, U
% 2.16/2.56 ) ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 52, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 122, [ ~( defined( X, h ) ), defined( h, h ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 125, [ product( X, h, X ), ~( product( X, h, Y ) ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 184, [ defined( h, h ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 185, [ product( h, h, h ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 203, [ ~( product( X, Y, h ) ), defined( h, X ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 223, [ ~( product( X, Y, a ) ), defined( h, X ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 238, [ ~( product( X, Y, h ) ), ~( product( Z, T, h ) ), defined( T
% 2.16/2.56 , X ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 242, [ ~( product( X, Y, h ) ), defined( Y, X ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 567, [ defined( h, codomain( a ) ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 626, [ product( h, codomain( a ), h ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 631, [ defined( codomain( a ), h ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 642, [ product( codomain( a ), h, h ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 12878, [ ~( product( X, h, Y ) ), ~( product( X, h, Z ) ), =( X, Z
% 2.16/2.56 ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 12882, [ ~( product( X, h, Y ) ), =( X, Y ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 12906, [ =( codomain( a ), h ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 13645, [ ~( =( X, h ) ), ~( product( X, h, h ) ) ] )
% 2.16/2.56 .
% 2.16/2.56 clause( 13658, [] )
% 2.16/2.56 .
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 % SZS output end Refutation
% 2.16/2.56 found a proof!
% 2.16/2.56
% 2.16/2.56 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.16/2.56
% 2.16/2.56 initialclauses(
% 2.16/2.56 [ clause( 13660, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 2.16/2.56 )
% 2.16/2.56 , clause( 13661, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.16/2.56 , clause( 13662, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined(
% 2.16/2.56 Y, T ) ] )
% 2.16/2.56 , clause( 13663, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 2.16/2.56 defined( Z, T ) ), defined( X, U ) ] )
% 2.16/2.56 , clause( 13664, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 2.16/2.56 product( Y, T, W ) ), product( X, W, U ) ] )
% 2.16/2.56 , clause( 13665, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined(
% 2.16/2.56 T, X ) ] )
% 2.16/2.56 , clause( 13666, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~(
% 2.16/2.56 defined( T, Z ) ), defined( U, Y ) ] )
% 2.16/2.56 , clause( 13667, [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~(
% 2.16/2.56 product( T, X, W ) ), product( W, Y, U ) ] )
% 2.16/2.56 , clause( 13668, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 2.16/2.56 'identity_map'( Y ) ), defined( X, Z ) ] )
% 2.16/2.56 , clause( 13669, [ 'identity_map'( domain( X ) ) ] )
% 2.16/2.56 , clause( 13670, [ 'identity_map'( codomain( X ) ) ] )
% 2.16/2.56 , clause( 13671, [ defined( X, domain( X ) ) ] )
% 2.16/2.56 , clause( 13672, [ defined( codomain( X ), X ) ] )
% 2.16/2.56 , clause( 13673, [ product( X, domain( X ), X ) ] )
% 2.16/2.56 , clause( 13674, [ product( codomain( X ), X, X ) ] )
% 2.16/2.56 , clause( 13675, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 2.16/2.56 X, Y, Y ) ] )
% 2.16/2.56 , clause( 13676, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 2.16/2.56 X, Y, X ) ] )
% 2.16/2.56 , clause( 13677, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 2.16/2.56 T ) ] )
% 2.16/2.56 , clause( 13678, [ defined( h, a ) ] )
% 2.16/2.56 , clause( 13679, [ 'identity_map'( h ) ] )
% 2.16/2.56 , clause( 13680, [ ~( =( codomain( a ), h ) ) ] )
% 2.16/2.56 ] ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 1, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.16/2.56 , clause( 13661, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.16/2.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T )
% 2.16/2.56 ] )
% 2.16/2.56 , clause( 13662, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined(
% 2.16/2.56 Y, T ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.16/2.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 5, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X )
% 2.16/2.56 ] )
% 2.16/2.56 , clause( 13665, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined(
% 2.16/2.56 T, X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.16/2.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 10, [ 'identity_map'( codomain( X ) ) ] )
% 2.16/2.56 , clause( 13670, [ 'identity_map'( codomain( X ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 12, [ defined( codomain( X ), X ) ] )
% 2.16/2.56 , clause( 13672, [ defined( codomain( X ), X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 14, [ product( codomain( X ), X, X ) ] )
% 2.16/2.56 , clause( 13674, [ product( codomain( X ), X, X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 2.16/2.56 , Y ) ] )
% 2.16/2.56 , clause( 13675, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 2.16/2.56 X, Y, Y ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y
% 2.16/2.56 , X ) ] )
% 2.16/2.56 , clause( 13676, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 2.16/2.56 X, Y, X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 2.16/2.56 )
% 2.16/2.56 , clause( 13677, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 2.16/2.56 T ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.16/2.56 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 18, [ defined( h, a ) ] )
% 2.16/2.56 , clause( 13678, [ defined( h, a ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 19, [ 'identity_map'( h ) ] )
% 2.16/2.56 , clause( 13679, [ 'identity_map'( h ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 20, [ ~( =( codomain( a ), h ) ) ] )
% 2.16/2.56 , clause( 13680, [ ~( =( codomain( a ), h ) ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13790, [ ~( defined( X, h ) ), product( X, h, X ) ] )
% 2.16/2.56 , clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 2.16/2.56 , Y, X ) ] )
% 2.16/2.56 , 1, clause( 19, [ 'identity_map'( h ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, h )] ), substitution( 1, [] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 38, [ ~( defined( X, h ) ), product( X, h, X ) ] )
% 2.16/2.56 , clause( 13790, [ ~( defined( X, h ) ), product( X, h, X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.16/2.56 1 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13791, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z, T
% 2.16/2.56 , U ) ) ] )
% 2.16/2.56 , clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T
% 2.16/2.56 ) ] )
% 2.16/2.56 , 1, clause( 1, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.16/2.56 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.16/2.56 substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z, U )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 45, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z, T, U
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 13791, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z
% 2.16/2.56 , T, U ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.16/2.56 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 factor(
% 2.16/2.56 clause( 13793, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.16/2.56 , clause( 45, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z, T
% 2.16/2.56 , U ) ) ] )
% 2.16/2.56 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Y ),
% 2.16/2.56 :=( U, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 52, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.16/2.56 , clause( 13793, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 ), ==>( 1, 1 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13795, [ defined( h, h ), ~( defined( X, h ) ) ] )
% 2.16/2.56 , clause( 52, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.16/2.56 , 0, clause( 38, [ ~( defined( X, h ) ), product( X, h, X ) ] )
% 2.16/2.56 , 1, substitution( 0, [ :=( X, X ), :=( Y, h )] ), substitution( 1, [ :=( X
% 2.16/2.56 , X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 122, [ ~( defined( X, h ) ), defined( h, h ) ] )
% 2.16/2.56 , clause( 13795, [ defined( h, h ), ~( defined( X, h ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.16/2.56 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13796, [ product( X, h, X ), ~( product( X, h, Y ) ) ] )
% 2.16/2.56 , clause( 38, [ ~( defined( X, h ) ), product( X, h, X ) ] )
% 2.16/2.56 , 0, clause( 1, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.16/2.56 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 2.16/2.56 , h ), :=( Z, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 125, [ product( X, h, X ), ~( product( X, h, Y ) ) ] )
% 2.16/2.56 , clause( 13796, [ product( X, h, X ), ~( product( X, h, Y ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 ), ==>( 1, 1 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13797, [ defined( h, h ) ] )
% 2.16/2.56 , clause( 122, [ ~( defined( X, h ) ), defined( h, h ) ] )
% 2.16/2.56 , 0, clause( 12, [ defined( codomain( X ), X ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, codomain( h ) )] ), substitution( 1, [ :=( X
% 2.16/2.56 , h )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 184, [ defined( h, h ) ] )
% 2.16/2.56 , clause( 13797, [ defined( h, h ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13798, [ product( h, h, h ) ] )
% 2.16/2.56 , clause( 38, [ ~( defined( X, h ) ), product( X, h, X ) ] )
% 2.16/2.56 , 0, clause( 184, [ defined( h, h ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 185, [ product( h, h, h ) ] )
% 2.16/2.56 , clause( 13798, [ product( h, h, h ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13799, [ ~( product( X, Y, h ) ), defined( h, X ) ] )
% 2.16/2.56 , clause( 5, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X
% 2.16/2.56 ) ] )
% 2.16/2.56 , 1, clause( 184, [ defined( h, h ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, h ), :=( T, h )] ),
% 2.16/2.56 substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 203, [ ~( product( X, Y, h ) ), defined( h, X ) ] )
% 2.16/2.56 , clause( 13799, [ ~( product( X, Y, h ) ), defined( h, X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 ), ==>( 1, 1 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13800, [ ~( product( X, Y, a ) ), defined( h, X ) ] )
% 2.16/2.56 , clause( 5, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X
% 2.16/2.56 ) ] )
% 2.16/2.56 , 1, clause( 18, [ defined( h, a ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a ), :=( T, h )] ),
% 2.16/2.56 substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 223, [ ~( product( X, Y, a ) ), defined( h, X ) ] )
% 2.16/2.56 , clause( 13800, [ ~( product( X, Y, a ) ), defined( h, X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 ), ==>( 1, 1 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13801, [ ~( product( X, Y, h ) ), defined( Y, Z ), ~( product( Z, T
% 2.16/2.56 , h ) ) ] )
% 2.16/2.56 , clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T
% 2.16/2.56 ) ] )
% 2.16/2.56 , 1, clause( 203, [ ~( product( X, Y, h ) ), defined( h, X ) ] )
% 2.16/2.56 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, h ), :=( T, Z )] ),
% 2.16/2.56 substitution( 1, [ :=( X, Z ), :=( Y, T )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 238, [ ~( product( X, Y, h ) ), ~( product( Z, T, h ) ), defined( T
% 2.16/2.56 , X ) ] )
% 2.16/2.56 , clause( 13801, [ ~( product( X, Y, h ) ), defined( Y, Z ), ~( product( Z
% 2.16/2.56 , T, h ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] ),
% 2.16/2.56 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 factor(
% 2.16/2.56 clause( 13803, [ ~( product( X, Y, h ) ), defined( Y, X ) ] )
% 2.16/2.56 , clause( 238, [ ~( product( X, Y, h ) ), ~( product( Z, T, h ) ), defined(
% 2.16/2.56 T, X ) ] )
% 2.16/2.56 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 242, [ ~( product( X, Y, h ) ), defined( Y, X ) ] )
% 2.16/2.56 , clause( 13803, [ ~( product( X, Y, h ) ), defined( Y, X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 ), ==>( 1, 1 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13804, [ defined( h, codomain( a ) ) ] )
% 2.16/2.56 , clause( 223, [ ~( product( X, Y, a ) ), defined( h, X ) ] )
% 2.16/2.56 , 0, clause( 14, [ product( codomain( X ), X, X ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, codomain( a ) ), :=( Y, a )] ),
% 2.16/2.56 substitution( 1, [ :=( X, a )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 567, [ defined( h, codomain( a ) ) ] )
% 2.16/2.56 , clause( 13804, [ defined( h, codomain( a ) ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13805, [ ~( 'identity_map'( codomain( a ) ) ), product( h, codomain(
% 2.16/2.56 a ), h ) ] )
% 2.16/2.56 , clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 2.16/2.56 , Y, X ) ] )
% 2.16/2.56 , 0, clause( 567, [ defined( h, codomain( a ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, h ), :=( Y, codomain( a ) )] ),
% 2.16/2.56 substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13806, [ product( h, codomain( a ), h ) ] )
% 2.16/2.56 , clause( 13805, [ ~( 'identity_map'( codomain( a ) ) ), product( h,
% 2.16/2.56 codomain( a ), h ) ] )
% 2.16/2.56 , 0, clause( 10, [ 'identity_map'( codomain( X ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 626, [ product( h, codomain( a ), h ) ] )
% 2.16/2.56 , clause( 13806, [ product( h, codomain( a ), h ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13807, [ defined( codomain( a ), h ) ] )
% 2.16/2.56 , clause( 242, [ ~( product( X, Y, h ) ), defined( Y, X ) ] )
% 2.16/2.56 , 0, clause( 626, [ product( h, codomain( a ), h ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, h ), :=( Y, codomain( a ) )] ),
% 2.16/2.56 substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 631, [ defined( codomain( a ), h ) ] )
% 2.16/2.56 , clause( 13807, [ defined( codomain( a ), h ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13808, [ ~( 'identity_map'( codomain( a ) ) ), product( codomain( a
% 2.16/2.56 ), h, h ) ] )
% 2.16/2.56 , clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X
% 2.16/2.56 , Y, Y ) ] )
% 2.16/2.56 , 0, clause( 631, [ defined( codomain( a ), h ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, codomain( a ) ), :=( Y, h )] ),
% 2.16/2.56 substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13809, [ product( codomain( a ), h, h ) ] )
% 2.16/2.56 , clause( 13808, [ ~( 'identity_map'( codomain( a ) ) ), product( codomain(
% 2.16/2.56 a ), h, h ) ] )
% 2.16/2.56 , 0, clause( 10, [ 'identity_map'( codomain( X ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 642, [ product( codomain( a ), h, h ) ] )
% 2.16/2.56 , clause( 13809, [ product( codomain( a ), h, h ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 resolution(
% 2.16/2.56 clause( 13810, [ ~( product( X, h, Y ) ), =( X, Y ), ~( product( X, h, Z )
% 2.16/2.56 ) ] )
% 2.16/2.56 , clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 2.16/2.56 ] )
% 2.16/2.56 , 0, clause( 125, [ product( X, h, X ), ~( product( X, h, Y ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, h ), :=( Z, X ), :=( T, Y )] ),
% 2.16/2.56 substitution( 1, [ :=( X, X ), :=( Y, Z )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 12878, [ ~( product( X, h, Y ) ), ~( product( X, h, Z ) ), =( X, Z
% 2.16/2.56 ) ] )
% 2.16/2.56 , clause( 13810, [ ~( product( X, h, Y ) ), =( X, Y ), ~( product( X, h, Z
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 2.16/2.56 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 factor(
% 2.16/2.56 clause( 13815, [ ~( product( X, h, Y ) ), =( X, Y ) ] )
% 2.16/2.56 , clause( 12878, [ ~( product( X, h, Y ) ), ~( product( X, h, Z ) ), =( X,
% 2.16/2.56 Z ) ] )
% 2.16/2.56 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 12882, [ ~( product( X, h, Y ) ), =( X, Y ) ] )
% 2.16/2.56 , clause( 13815, [ ~( product( X, h, Y ) ), =( X, Y ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 ), ==>( 1, 1 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 13817, [ =( Y, X ), ~( product( X, h, Y ) ) ] )
% 2.16/2.56 , clause( 12882, [ ~( product( X, h, YCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------