TSTP Solution File: NUM003-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 : Mon Jul 18 06:19:10 EDT 2022
% Result : Unsatisfiable 0.86s 1.27s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.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 : Thu Jul 7 22:22:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.86/1.27 *** allocated 10000 integers for termspace/termends
% 0.86/1.27 *** allocated 10000 integers for clauses
% 0.86/1.27 *** allocated 10000 integers for justifications
% 0.86/1.27 Bliksem 1.12
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Automatic Strategy Selection
% 0.86/1.27
% 0.86/1.27 Clauses:
% 0.86/1.27 [
% 0.86/1.27 [ equalish( X, X ) ],
% 0.86/1.27 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.86/1.27 [ equalish( add( X, Y ), add( Y, X ) ) ],
% 0.86/1.27 [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.86/1.27 [ equalish( subtract( add( X, Y ), Y ), X ) ],
% 0.86/1.27 [ equalish( X, subtract( add( X, Y ), Y ) ) ],
% 0.86/1.27 [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z ), Y ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( equalish( X, Y ) ), ~( equalish( Z, add( X, T ) ) ), equalish( Z,
% 0.86/1.27 add( Y, T ) ) ],
% 0.86/1.27 [ ~( equalish( X, Y ) ), ~( equalish( Z, add( T, X ) ) ), equalish( Z,
% 0.86/1.27 add( T, Y ) ) ],
% 0.86/1.27 [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T ) ) ), equalish(
% 0.86/1.27 Z, subtract( Y, T ) ) ],
% 0.86/1.27 [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( T, X ) ) ), equalish(
% 0.86/1.27 Z, subtract( T, Y ) ) ],
% 0.86/1.27 [ ~( equalish( add( a, subtract( b, c ) ), add( subtract( a, c ), b ) )
% 0.86/1.27 ) ]
% 0.86/1.27 ] .
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 percentage equality = 0.000000, percentage horn = 1.000000
% 0.86/1.27 This is a near-Horn, non-equality problem
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Options Used:
% 0.86/1.27
% 0.86/1.27 useres = 1
% 0.86/1.27 useparamod = 0
% 0.86/1.27 useeqrefl = 0
% 0.86/1.27 useeqfact = 0
% 0.86/1.27 usefactor = 1
% 0.86/1.27 usesimpsplitting = 0
% 0.86/1.27 usesimpdemod = 0
% 0.86/1.27 usesimpres = 4
% 0.86/1.27
% 0.86/1.27 resimpinuse = 1000
% 0.86/1.27 resimpclauses = 20000
% 0.86/1.27 substype = standard
% 0.86/1.27 backwardsubs = 1
% 0.86/1.27 selectoldest = 5
% 0.86/1.27
% 0.86/1.27 litorderings [0] = split
% 0.86/1.27 litorderings [1] = liftord
% 0.86/1.27
% 0.86/1.27 termordering = none
% 0.86/1.27
% 0.86/1.27 litapriori = 1
% 0.86/1.27 termapriori = 0
% 0.86/1.27 litaposteriori = 0
% 0.86/1.27 termaposteriori = 0
% 0.86/1.27 demodaposteriori = 0
% 0.86/1.27 ordereqreflfact = 0
% 0.86/1.27
% 0.86/1.27 litselect = negative
% 0.86/1.27
% 0.86/1.27 maxweight = 30000
% 0.86/1.27 maxdepth = 30000
% 0.86/1.27 maxlength = 115
% 0.86/1.27 maxnrvars = 195
% 0.86/1.27 excuselevel = 0
% 0.86/1.27 increasemaxweight = 0
% 0.86/1.27
% 0.86/1.27 maxselected = 10000000
% 0.86/1.27 maxnrclauses = 10000000
% 0.86/1.27
% 0.86/1.27 showgenerated = 0
% 0.86/1.27 showkept = 0
% 0.86/1.27 showselected = 0
% 0.86/1.27 showdeleted = 0
% 0.86/1.27 showresimp = 1
% 0.86/1.27 showstatus = 2000
% 0.86/1.27
% 0.86/1.27 prologoutput = 1
% 0.86/1.27 nrgoals = 5000000
% 0.86/1.27 totalproof = 1
% 0.86/1.27
% 0.86/1.27 Symbols occurring in the translation:
% 0.86/1.27
% 0.86/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.27 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.86/1.27 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.86/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.27 equalish [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.86/1.27 add [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.86/1.27 subtract [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.86/1.27 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.86/1.27 b [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.86/1.27 c [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Starting Search:
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 2487
% 0.86/1.27 Kept: 2006
% 0.86/1.27 Inuse: 138
% 0.86/1.27 Deleted: 1
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 5001
% 0.86/1.27 Kept: 4062
% 0.86/1.27 Inuse: 183
% 0.86/1.27 Deleted: 1
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 7212
% 0.86/1.27 Kept: 6085
% 0.86/1.27 Inuse: 235
% 0.86/1.27 Deleted: 1
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 9520
% 0.86/1.27 Kept: 8090
% 0.86/1.27 Inuse: 288
% 0.86/1.27 Deleted: 1
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 11985
% 0.86/1.27 Kept: 10098
% 0.86/1.27 Inuse: 329
% 0.86/1.27 Deleted: 1
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 14398
% 0.86/1.27 Kept: 12350
% 0.86/1.27 Inuse: 355
% 0.86/1.27 Deleted: 1
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 16604
% 0.86/1.27 Kept: 14371
% 0.86/1.27 Inuse: 392
% 0.86/1.27 Deleted: 1
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 18822
% 0.86/1.27 Kept: 16376
% 0.86/1.27 Inuse: 433
% 0.86/1.27 Deleted: 1
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Bliksems!, er is een bewijs:
% 0.86/1.27 % SZS status Unsatisfiable
% 0.86/1.27 % SZS output start Refutation
% 0.86/1.27
% 0.86/1.27 clause( 0, [ equalish( X, X ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 0.86/1.27 ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 4, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 5, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 6, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z ), Y
% 0.86/1.27 ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y
% 0.86/1.27 ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 8, [ ~( equalish( X, Y ) ), equalish( Z, add( Y, T ) ), ~( equalish(
% 0.86/1.27 Z, add( X, T ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 9, [ ~( equalish( X, Y ) ), equalish( Z, add( T, Y ) ), ~( equalish(
% 0.86/1.27 Z, add( T, X ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.86/1.27 equalish( Z, subtract( X, T ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 12, [ ~( equalish( add( a, subtract( b, c ) ), add( subtract( a, c
% 0.86/1.27 ), b ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 17, [ equalish( X, Y ), ~( equalish( X, subtract( add( Y, Z ), Z )
% 0.86/1.27 ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) ) ]
% 0.86/1.27 )
% 0.86/1.27 .
% 0.86/1.27 clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X, Z
% 0.86/1.27 ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 25, [ equalish( X, add( subtract( Y, T ), Z ) ), ~( equalish( X,
% 0.86/1.27 subtract( add( Y, Z ), T ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.86/1.27 subtract( add( Y, Z ), T ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 28, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 32, [ equalish( X, Y ), ~( equalish( X, add( subtract( Y, Z ), Z )
% 0.86/1.27 ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 37, [ equalish( add( X, subtract( Y, X ) ), Y ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 41, [ equalish( X, Z ), ~( equalish( X, add( Y, subtract( Z, Y ) )
% 0.86/1.27 ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 45, [ equalish( subtract( add( X, T ), Y ), add( Z, T ) ), ~(
% 0.86/1.27 equalish( subtract( X, Y ), Z ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 50, [ equalish( add( X, Z ), add( Y, Z ) ), ~( equalish( X, Y ) ) ]
% 0.86/1.27 )
% 0.86/1.27 .
% 0.86/1.27 clause( 63, [ equalish( add( add( subtract( X, Y ), Z ), T ), add( subtract(
% 0.86/1.27 add( X, Z ), Y ), T ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 134, [ equalish( X, subtract( Z, Y ) ), ~( equalish( add( X, Y ), Z
% 0.86/1.27 ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 768, [ equalish( X, add( subtract( X, Y ), Y ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 833, [ equalish( X, add( Y, subtract( X, Y ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 864, [ equalish( X, add( Y, Z ) ), ~( equalish( subtract( X, Y ), Z
% 0.86/1.27 ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 6279, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 6317, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z, X )
% 0.86/1.27 ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 7930, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z, X )
% 0.86/1.27 , Y ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 8006, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract( Z,
% 0.86/1.27 Y ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 8048, [ equalish( subtract( X, Y ), subtract( add( X, subtract( Z,
% 0.86/1.27 Y ) ), Z ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 8693, [ equalish( subtract( X, Y ), add( subtract( Z, Y ), subtract(
% 0.86/1.27 X, Z ) ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 8982, [ equalish( subtract( X, subtract( X, Y ) ), Y ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 8995, [ equalish( subtract( add( X, Y ), subtract( X, Z ) ), add( Z
% 0.86/1.27 , Y ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 9190, [ equalish( subtract( add( X, subtract( Y, Z ) ), subtract( X
% 0.86/1.27 , Z ) ), Y ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 17278, [ equalish( add( X, subtract( Y, Z ) ), add( subtract( X, Z
% 0.86/1.27 ), Y ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 17370, [] )
% 0.86/1.27 .
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 % SZS output end Refutation
% 0.86/1.27 found a proof!
% 0.86/1.27
% 0.86/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.27
% 0.86/1.27 initialclauses(
% 0.86/1.27 [ clause( 17372, [ equalish( X, X ) ] )
% 0.86/1.27 , clause( 17373, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish(
% 0.86/1.27 X, Z ) ] )
% 0.86/1.27 , clause( 17374, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.86/1.27 , clause( 17375, [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) )
% 0.86/1.27 ] )
% 0.86/1.27 , clause( 17376, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.86/1.27 , clause( 17377, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.86/1.27 , clause( 17378, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X,
% 0.86/1.27 Z ), Y ) ) ] )
% 0.86/1.27 , clause( 17379, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X,
% 0.86/1.27 Z ), Y ) ) ] )
% 0.86/1.27 , clause( 17380, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( X, T ) ) ),
% 0.86/1.27 equalish( Z, add( Y, T ) ) ] )
% 0.86/1.27 , clause( 17381, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( T, X ) ) ),
% 0.86/1.27 equalish( Z, add( T, Y ) ) ] )
% 0.86/1.27 , clause( 17382, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T )
% 0.86/1.27 ) ), equalish( Z, subtract( Y, T ) ) ] )
% 0.86/1.27 , clause( 17383, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( T, X )
% 0.86/1.27 ) ), equalish( Z, subtract( T, Y ) ) ] )
% 0.86/1.27 , clause( 17384, [ ~( equalish( add( a, subtract( b, c ) ), add( subtract(
% 0.86/1.27 a, c ), b ) ) ) ] )
% 0.86/1.27 ] ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 0, [ equalish( X, X ) ] )
% 0.86/1.27 , clause( 17372, [ equalish( X, X ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 0.86/1.27 ] )
% 0.86/1.27 , clause( 17373, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish(
% 0.86/1.27 X, Z ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.86/1.27 , clause( 17374, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.27 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 4, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.86/1.27 , clause( 17376, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.27 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 5, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.86/1.27 , clause( 17377, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.27 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 6, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z ), Y
% 0.86/1.27 ) ) ] )
% 0.86/1.27 , clause( 17378, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X,
% 0.86/1.27 Z ), Y ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y
% 0.86/1.27 ) ) ] )
% 0.86/1.27 , clause( 17379, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X,
% 0.86/1.27 Z ), Y ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 8, [ ~( equalish( X, Y ) ), equalish( Z, add( Y, T ) ), ~( equalish(
% 0.86/1.27 Z, add( X, T ) ) ) ] )
% 0.86/1.27 , clause( 17380, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( X, T ) ) ),
% 0.86/1.27 equalish( Z, add( Y, T ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 9, [ ~( equalish( X, Y ) ), equalish( Z, add( T, Y ) ), ~( equalish(
% 0.86/1.27 Z, add( T, X ) ) ) ] )
% 0.86/1.27 , clause( 17381, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( T, X ) ) ),
% 0.86/1.27 equalish( Z, add( T, Y ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.86/1.27 equalish( Z, subtract( X, T ) ) ) ] )
% 0.86/1.27 , clause( 17382, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T )
% 0.86/1.27 ) ), equalish( Z, subtract( Y, T ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 12, [ ~( equalish( add( a, subtract( b, c ) ), add( subtract( a, c
% 0.86/1.27 ), b ) ) ) ] )
% 0.86/1.27 , clause( 17384, [ ~( equalish( add( a, subtract( b, c ) ), add( subtract(
% 0.86/1.27 a, c ), b ) ) ) ] )
% 0.86/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17406, [ ~( equalish( X, subtract( add( Y, Z ), Z ) ) ), equalish(
% 0.86/1.27 X, Y ) ] )
% 0.86/1.27 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 4, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, subtract( add( Y, Z ), Z ) ),
% 0.86/1.27 :=( Z, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 17, [ equalish( X, Y ), ~( equalish( X, subtract( add( Y, Z ), Z )
% 0.86/1.27 ) ) ] )
% 0.86/1.27 , clause( 17406, [ ~( equalish( X, subtract( add( Y, Z ), Z ) ) ), equalish(
% 0.86/1.27 X, Y ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17408, [ ~( equalish( X, add( Y, Z ) ) ), equalish( X, add( Z, Y )
% 0.86/1.27 ) ] )
% 0.86/1.27 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, add( Y, Z ) ), :=( Z, add( Z, Y
% 0.86/1.27 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) ) ]
% 0.86/1.27 )
% 0.86/1.27 , clause( 17408, [ ~( equalish( X, add( Y, Z ) ) ), equalish( X, add( Z, Y
% 0.86/1.27 ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17409, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X
% 0.86/1.27 , Z ) ) ) ] )
% 0.86/1.27 , clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) )
% 0.86/1.27 ] )
% 0.86/1.27 , 1, clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.86/1.27 ), Y ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, subtract( add( X, Y ), Z ) ), :=( Y,
% 0.86/1.27 subtract( X, Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.86/1.27 Y ), :=( Z, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X, Z
% 0.86/1.27 ) ) ) ] )
% 0.86/1.27 , clause( 17409, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract(
% 0.86/1.27 X, Z ) ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17411, [ ~( equalish( X, subtract( add( Y, Z ), T ) ) ), equalish(
% 0.86/1.27 X, add( subtract( Y, T ), Z ) ) ] )
% 0.86/1.27 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.86/1.27 ), Y ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, subtract( add( Y, Z ), T ) ),
% 0.86/1.27 :=( Z, add( subtract( Y, T ), Z ) )] ), substitution( 1, [ :=( X, Y ),
% 0.86/1.27 :=( Y, Z ), :=( Z, T )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 25, [ equalish( X, add( subtract( Y, T ), Z ) ), ~( equalish( X,
% 0.86/1.27 subtract( add( Y, Z ), T ) ) ) ] )
% 0.86/1.27 , clause( 17411, [ ~( equalish( X, subtract( add( Y, Z ), T ) ) ), equalish(
% 0.86/1.27 X, add( subtract( Y, T ), Z ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17413, [ ~( equalish( X, subtract( add( Y, Z ), T ) ) ), equalish(
% 0.86/1.27 X, add( Z, subtract( Y, T ) ) ) ] )
% 0.86/1.27 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract(
% 0.86/1.27 X, Z ) ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, subtract( add( Y, Z ), T ) ),
% 0.86/1.27 :=( Z, add( Z, subtract( Y, T ) ) )] ), substitution( 1, [ :=( X, Y ),
% 0.86/1.27 :=( Y, Z ), :=( Z, T )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.86/1.27 subtract( add( Y, Z ), T ) ) ) ] )
% 0.86/1.27 , clause( 17413, [ ~( equalish( X, subtract( add( Y, Z ), T ) ) ), equalish(
% 0.86/1.27 X, add( Z, subtract( Y, T ) ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17414, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.86/1.27 , clause( 17, [ equalish( X, Y ), ~( equalish( X, subtract( add( Y, Z ), Z
% 0.86/1.27 ) ) ) ] )
% 0.86/1.27 , 1, clause( 6, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z
% 0.86/1.27 ), Y ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, add( subtract( X, Y ), Y ) ), :=( Y, X ),
% 0.86/1.27 :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )
% 0.86/1.27 ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 28, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.86/1.27 , clause( 17414, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.27 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17416, [ ~( equalish( X, add( subtract( Y, Z ), Z ) ) ), equalish(
% 0.86/1.27 X, Y ) ] )
% 0.86/1.27 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 28, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, add( subtract( Y, Z ), Z ) ),
% 0.86/1.27 :=( Z, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 32, [ equalish( X, Y ), ~( equalish( X, add( subtract( Y, Z ), Z )
% 0.86/1.27 ) ) ] )
% 0.86/1.27 , clause( 17416, [ ~( equalish( X, add( subtract( Y, Z ), Z ) ) ), equalish(
% 0.86/1.27 X, Y ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17417, [ equalish( add( X, subtract( Y, X ) ), Y ) ] )
% 0.86/1.27 , clause( 32, [ equalish( X, Y ), ~( equalish( X, add( subtract( Y, Z ), Z
% 0.86/1.27 ) ) ) ] )
% 0.86/1.27 , 1, clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, add( X, subtract( Y, X ) ) ), :=( Y, Y ),
% 0.86/1.27 :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, subtract( Y, X ) )] )
% 0.86/1.27 ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 37, [ equalish( add( X, subtract( Y, X ) ), Y ) ] )
% 0.86/1.27 , clause( 17417, [ equalish( add( X, subtract( Y, X ) ), Y ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.27 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17419, [ ~( equalish( X, add( Y, subtract( Z, Y ) ) ) ), equalish(
% 0.86/1.27 X, Z ) ] )
% 0.86/1.27 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 37, [ equalish( add( X, subtract( Y, X ) ), Y ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, add( Y, subtract( Z, Y ) ) ),
% 0.86/1.27 :=( Z, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 41, [ equalish( X, Z ), ~( equalish( X, add( Y, subtract( Z, Y ) )
% 0.86/1.27 ) ) ] )
% 0.86/1.27 , clause( 17419, [ ~( equalish( X, add( Y, subtract( Z, Y ) ) ) ), equalish(
% 0.86/1.27 X, Z ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17421, [ ~( equalish( subtract( X, Y ), Z ) ), equalish( subtract(
% 0.86/1.27 add( X, T ), Y ), add( Z, T ) ) ] )
% 0.86/1.27 , clause( 8, [ ~( equalish( X, Y ) ), equalish( Z, add( Y, T ) ), ~(
% 0.86/1.27 equalish( Z, add( X, T ) ) ) ] )
% 0.86/1.27 , 2, clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.86/1.27 ), Y ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, subtract( X, Y ) ), :=( Y, Z ), :=( Z,
% 0.86/1.27 subtract( add( X, T ), Y ) ), :=( T, T )] ), substitution( 1, [ :=( X, X
% 0.86/1.27 ), :=( Y, T ), :=( Z, Y )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 45, [ equalish( subtract( add( X, T ), Y ), add( Z, T ) ), ~(
% 0.86/1.27 equalish( subtract( X, Y ), Z ) ) ] )
% 0.86/1.27 , clause( 17421, [ ~( equalish( subtract( X, Y ), Z ) ), equalish( subtract(
% 0.86/1.27 add( X, T ), Y ), add( Z, T ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17423, [ ~( equalish( X, Y ) ), equalish( add( X, Z ), add( Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , clause( 8, [ ~( equalish( X, Y ) ), equalish( Z, add( Y, T ) ), ~(
% 0.86/1.27 equalish( Z, add( X, T ) ) ) ] )
% 0.86/1.27 , 2, clause( 0, [ equalish( X, X ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Z ) ), :=( T
% 0.86/1.27 , Z )] ), substitution( 1, [ :=( X, add( X, Z ) )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 50, [ equalish( add( X, Z ), add( Y, Z ) ), ~( equalish( X, Y ) ) ]
% 0.86/1.27 )
% 0.86/1.27 , clause( 17423, [ ~( equalish( X, Y ) ), equalish( add( X, Z ), add( Y, Z
% 0.86/1.27 ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 17424, [ equalish( add( add( subtract( X, Y ), Z ), T ), add(
% 0.86/1.27 subtract( add( X, Z ), Y ), T ) ) ] )
% 0.86/1.27 , clause( 50, [ equalish( add( X, Z ), add( Y, Z ) ), ~( equalish( X, Y ) )
% 0.86/1.27 ] )
% 0.86/1.27 , 1, clause( 6, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z
% 0.86/1.27 ), Y ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, add( subtract( X, Y ), Z ) ), :=( Y,
% 0.86/1.27 subtract( add( X, Z ), Y ) ), :=( Z, T )] ), substitution( 1, [ :=( X, X
% 0.86/1.27 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 63, [ equalish( add( add( subtract( X, Y ), Z ), T ), add( subtract(
% 0.86/1.27 add( X, Z ), Y ), T ) ) ] )
% 0.86/1.27 , clause( 17424, [ equalish( add( add( subtract( X, Y ), Z ), T ), add(
% 0.86/1.27 subtract( add( X, Z ), Y ), T ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17426, [ ~( equalish( add( X, Y ), Z ) ), equalish( X, subtract( Z
% 0.86/1.28 , Y ) ) ] )
% 0.86/1.28 , clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.86/1.28 equalish( Z, subtract( X, T ) ) ) ] )
% 0.86/1.28 , 2, clause( 5, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, add( X, Y ) ), :=( Y, Z ), :=( Z, X ), :=( T
% 0.86/1.28 , Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 134, [ equalish( X, subtract( Z, Y ) ), ~( equalish( add( X, Y ), Z
% 0.86/1.28 ) ) ] )
% 0.86/1.28 , clause( 17426, [ ~( equalish( add( X, Y ), Z ) ), equalish( X, subtract(
% 0.86/1.28 Z, Y ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17427, [ equalish( X, add( subtract( X, Y ), Y ) ) ] )
% 0.86/1.28 , clause( 25, [ equalish( X, add( subtract( Y, T ), Z ) ), ~( equalish( X,
% 0.86/1.28 subtract( add( Y, Z ), T ) ) ) ] )
% 0.86/1.28 , 1, clause( 5, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.86/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 768, [ equalish( X, add( subtract( X, Y ), Y ) ) ] )
% 0.86/1.28 , clause( 17427, [ equalish( X, add( subtract( X, Y ), Y ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.28 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17428, [ equalish( X, add( Y, subtract( X, Y ) ) ) ] )
% 0.86/1.28 , clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) )
% 0.86/1.28 ] )
% 0.86/1.28 , 1, clause( 768, [ equalish( X, add( subtract( X, Y ), Y ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, subtract( X, Y ) ), :=( Z, Y )] )
% 0.86/1.28 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 833, [ equalish( X, add( Y, subtract( X, Y ) ) ) ] )
% 0.86/1.28 , clause( 17428, [ equalish( X, add( Y, subtract( X, Y ) ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.28 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17430, [ ~( equalish( subtract( X, Y ), Z ) ), equalish( X, add( Y
% 0.86/1.28 , Z ) ) ] )
% 0.86/1.28 , clause( 9, [ ~( equalish( X, Y ) ), equalish( Z, add( T, Y ) ), ~(
% 0.86/1.28 equalish( Z, add( T, X ) ) ) ] )
% 0.86/1.28 , 2, clause( 833, [ equalish( X, add( Y, subtract( X, Y ) ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, subtract( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 0.86/1.28 :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 864, [ equalish( X, add( Y, Z ) ), ~( equalish( subtract( X, Y ), Z
% 0.86/1.28 ) ) ] )
% 0.86/1.28 , clause( 17430, [ ~( equalish( subtract( X, Y ), Z ) ), equalish( X, add(
% 0.86/1.28 Y, Z ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17431, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X, Z
% 0.86/1.28 ) ) ] )
% 0.86/1.28 , clause( 32, [ equalish( X, Y ), ~( equalish( X, add( subtract( Y, Z ), Z
% 0.86/1.28 ) ) ) ] )
% 0.86/1.28 , 1, clause( 63, [ equalish( add( add( subtract( X, Y ), Z ), T ), add(
% 0.86/1.28 subtract( add( X, Z ), Y ), T ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, add( add( subtract( X, Y ), Z ), Y ) ), :=(
% 0.86/1.28 Y, add( X, Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.86/1.28 ), :=( Z, Z ), :=( T, Y )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 6279, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X, Z )
% 0.86/1.28 ) ] )
% 0.86/1.28 , clause( 17431, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X,
% 0.86/1.28 Z ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17432, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z, X
% 0.86/1.28 ) ) ] )
% 0.86/1.28 , clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) )
% 0.86/1.28 ] )
% 0.86/1.28 , 1, clause( 6279, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X
% 0.86/1.28 , Z ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, add( add( subtract( X, Y ), Z ), Y ) ), :=(
% 0.86/1.28 Y, X ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.86/1.28 Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 6317, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z, X )
% 0.86/1.28 ) ] )
% 0.86/1.28 , clause( 17432, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z,
% 0.86/1.28 X ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17433, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z, X
% 0.86/1.28 ), Y ) ) ] )
% 0.86/1.28 , clause( 134, [ equalish( X, subtract( Z, Y ) ), ~( equalish( add( X, Y )
% 0.86/1.28 , Z ) ) ] )
% 0.86/1.28 , 1, clause( 6317, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z
% 0.86/1.28 , X ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, add( subtract( X, Y ), Z ) ), :=( Y, Y ),
% 0.86/1.28 :=( Z, add( Z, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.86/1.28 , Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 7930, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z, X )
% 0.86/1.28 , Y ) ) ] )
% 0.86/1.28 , clause( 17433, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z,
% 0.86/1.28 X ), Y ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17434, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract( Z
% 0.86/1.28 , Y ) ) ) ] )
% 0.86/1.28 , clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.86/1.28 subtract( add( Y, Z ), T ) ) ) ] )
% 0.86/1.28 , 1, clause( 7930, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z
% 0.86/1.28 , X ), Y ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, add( subtract( X, Y ), Z ) ), :=( Y, Z ),
% 0.86/1.28 :=( Z, X ), :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.86/1.28 :=( Z, Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 8006, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract( Z,
% 0.86/1.28 Y ) ) ) ] )
% 0.86/1.28 , clause( 17434, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract(
% 0.86/1.28 Z, Y ) ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17435, [ equalish( subtract( X, Y ), subtract( add( X, subtract( Z
% 0.86/1.28 , Y ) ), Z ) ) ] )
% 0.86/1.28 , clause( 134, [ equalish( X, subtract( Z, Y ) ), ~( equalish( add( X, Y )
% 0.86/1.28 , Z ) ) ] )
% 0.86/1.28 , 1, clause( 8006, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract(
% 0.86/1.28 Z, Y ) ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, subtract( X, Y ) ), :=( Y, Z ), :=( Z, add(
% 0.86/1.28 X, subtract( Z, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.86/1.28 :=( Z, Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 8048, [ equalish( subtract( X, Y ), subtract( add( X, subtract( Z,
% 0.86/1.28 Y ) ), Z ) ) ] )
% 0.86/1.28 , clause( 17435, [ equalish( subtract( X, Y ), subtract( add( X, subtract(
% 0.86/1.28 Z, Y ) ), Z ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17436, [ equalish( subtract( X, Y ), add( subtract( Z, Y ),
% 0.86/1.28 subtract( X, Z ) ) ) ] )
% 0.86/1.28 , clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.86/1.28 subtract( add( Y, Z ), T ) ) ) ] )
% 0.86/1.28 , 1, clause( 8048, [ equalish( subtract( X, Y ), subtract( add( X, subtract(
% 0.86/1.28 Z, Y ) ), Z ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, subtract( X, Y ) ), :=( Y, X ), :=( Z,
% 0.86/1.28 subtract( Z, Y ) ), :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.86/1.28 Y ), :=( Z, Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 8693, [ equalish( subtract( X, Y ), add( subtract( Z, Y ), subtract(
% 0.86/1.28 X, Z ) ) ) ] )
% 0.86/1.28 , clause( 17436, [ equalish( subtract( X, Y ), add( subtract( Z, Y ),
% 0.86/1.28 subtract( X, Z ) ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17437, [ equalish( subtract( X, subtract( X, Y ) ), Y ) ] )
% 0.86/1.28 , clause( 32, [ equalish( X, Y ), ~( equalish( X, add( subtract( Y, Z ), Z
% 0.86/1.28 ) ) ) ] )
% 0.86/1.28 , 1, clause( 8693, [ equalish( subtract( X, Y ), add( subtract( Z, Y ),
% 0.86/1.28 subtract( X, Z ) ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, subtract( X, subtract( X, Y ) ) ), :=( Y, Y
% 0.86/1.28 ), :=( Z, subtract( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.86/1.28 subtract( X, Y ) ), :=( Z, Y )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 8982, [ equalish( subtract( X, subtract( X, Y ) ), Y ) ] )
% 0.86/1.28 , clause( 17437, [ equalish( subtract( X, subtract( X, Y ) ), Y ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.28 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17438, [ equalish( subtract( add( X, Y ), subtract( X, Z ) ), add(
% 0.86/1.28 Z, Y ) ) ] )
% 0.86/1.28 , clause( 45, [ equalish( subtract( add( X, T ), Y ), add( Z, T ) ), ~(
% 0.86/1.28 equalish( subtract( X, Y ), Z ) ) ] )
% 0.86/1.28 , 1, clause( 8982, [ equalish( subtract( X, subtract( X, Y ) ), Y ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, subtract( X, Z ) ), :=( Z, Z ),
% 0.86/1.28 :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 8995, [ equalish( subtract( add( X, Y ), subtract( X, Z ) ), add( Z
% 0.86/1.28 , Y ) ) ] )
% 0.86/1.28 , clause( 17438, [ equalish( subtract( add( X, Y ), subtract( X, Z ) ), add(
% 0.86/1.28 Z, Y ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17439, [ equalish( subtract( add( X, subtract( Y, Z ) ), subtract(
% 0.86/1.28 X, Z ) ), Y ) ] )
% 0.86/1.28 , clause( 41, [ equalish( X, Z ), ~( equalish( X, add( Y, subtract( Z, Y )
% 0.86/1.28 ) ) ) ] )
% 0.86/1.28 , 1, clause( 8995, [ equalish( subtract( add( X, Y ), subtract( X, Z ) ),
% 0.86/1.28 add( Z, Y ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, subtract( add( X, subtract( Y, Z ) ),
% 0.86/1.28 subtract( X, Z ) ) ), :=( Y, Z ), :=( Z, Y )] ), substitution( 1, [ :=( X
% 0.86/1.28 , X ), :=( Y, subtract( Y, Z ) ), :=( Z, Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 9190, [ equalish( subtract( add( X, subtract( Y, Z ) ), subtract( X
% 0.86/1.28 , Z ) ), Y ) ] )
% 0.86/1.28 , clause( 17439, [ equalish( subtract( add( X, subtract( Y, Z ) ), subtract(
% 0.86/1.28 X, Z ) ), Y ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17440, [ equalish( add( X, subtract( Y, Z ) ), add( subtract( X, Z
% 0.86/1.28 ), Y ) ) ] )
% 0.86/1.28 , clause( 864, [ equalish( X, add( Y, Z ) ), ~( equalish( subtract( X, Y )
% 0.86/1.28 , Z ) ) ] )
% 0.86/1.28 , 1, clause( 9190, [ equalish( subtract( add( X, subtract( Y, Z ) ),
% 0.86/1.28 subtract( X, Z ) ), Y ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, add( X, subtract( Y, Z ) ) ), :=( Y,
% 0.86/1.28 subtract( X, Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.86/1.28 Y ), :=( Z, Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 17278, [ equalish( add( X, subtract( Y, Z ) ), add( subtract( X, Z
% 0.86/1.28 ), Y ) ) ] )
% 0.86/1.28 , clause( 17440, [ equalish( add( X, subtract( Y, Z ) ), add( subtract( X,
% 0.86/1.28 Z ), Y ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 17441, [] )
% 0.86/1.28 , clause( 12, [ ~( equalish( add( a, subtract( b, c ) ), add( subtract( a,
% 0.86/1.28 c ), b ) ) ) ] )
% 0.86/1.28 , 0, clause( 17278, [ equalish( add( X, subtract( Y, Z ) ), add( subtract(
% 0.86/1.28 X, Z ), Y ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.86/1.28 Z, c )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 17370, [] )
% 0.86/1.28 , clause( 17441, [] )
% 0.86/1.28 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 end.
% 0.86/1.28
% 0.86/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.28
% 0.86/1.28 Memory use:
% 0.86/1.28
% 0.86/1.28 space for terms: 283166
% 0.86/1.28 space for clauses: 1444203
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 clauses generated: 19947
% 0.86/1.28 clauses kept: 17371
% 0.86/1.28 clauses selected: 454
% 0.86/1.28 clauses deleted: 1
% 0.86/1.28 clauses inuse deleted: 0
% 0.86/1.28
% 0.86/1.28 subsentry: 7475
% 0.86/1.28 literals s-matched: 4639
% 0.86/1.28 literals matched: 4493
% 0.86/1.28 full subsumption: 214
% 0.86/1.28
% 0.86/1.28 checksum: -1807382655
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Bliksem ended
%------------------------------------------------------------------------------