TSTP Solution File: NUM002-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 06:19:09 EDT 2022
% Result : Unsatisfiable 0.75s 1.20s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jul 6 09:01:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.20 *** allocated 10000 integers for termspace/termends
% 0.75/1.20 *** allocated 10000 integers for clauses
% 0.75/1.20 *** allocated 10000 integers for justifications
% 0.75/1.20 Bliksem 1.12
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Automatic Strategy Selection
% 0.75/1.20
% 0.75/1.20 Clauses:
% 0.75/1.20 [
% 0.75/1.20 [ equalish( X, X ) ],
% 0.75/1.20 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.75/1.20 [ equalish( add( X, Y ), add( Y, X ) ) ],
% 0.75/1.20 [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.75/1.20 [ equalish( subtract( add( X, Y ), Y ), X ) ],
% 0.75/1.20 [ equalish( X, subtract( add( X, Y ), Y ) ) ],
% 0.75/1.20 [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z ), Y ) ) ]
% 0.75/1.20 ,
% 0.75/1.20 [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y ) ) ]
% 0.75/1.20 ,
% 0.75/1.20 [ ~( equalish( X, Y ) ), ~( equalish( Z, add( X, T ) ) ), equalish( Z,
% 0.75/1.20 add( Y, T ) ) ],
% 0.75/1.20 [ ~( equalish( X, Y ) ), ~( equalish( Z, add( T, X ) ) ), equalish( Z,
% 0.75/1.20 add( T, Y ) ) ],
% 0.75/1.20 [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T ) ) ), equalish(
% 0.75/1.20 Z, subtract( Y, T ) ) ],
% 0.75/1.20 [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( T, X ) ) ), equalish(
% 0.75/1.20 Z, subtract( T, Y ) ) ],
% 0.75/1.20 [ ~( equalish( add( subtract( a, b ), c ), add( a, subtract( c, b ) ) )
% 0.75/1.20 ) ]
% 0.75/1.20 ] .
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 percentage equality = 0.000000, percentage horn = 1.000000
% 0.75/1.20 This is a near-Horn, non-equality problem
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Options Used:
% 0.75/1.20
% 0.75/1.20 useres = 1
% 0.75/1.20 useparamod = 0
% 0.75/1.20 useeqrefl = 0
% 0.75/1.20 useeqfact = 0
% 0.75/1.20 usefactor = 1
% 0.75/1.20 usesimpsplitting = 0
% 0.75/1.20 usesimpdemod = 0
% 0.75/1.20 usesimpres = 4
% 0.75/1.20
% 0.75/1.20 resimpinuse = 1000
% 0.75/1.20 resimpclauses = 20000
% 0.75/1.20 substype = standard
% 0.75/1.20 backwardsubs = 1
% 0.75/1.20 selectoldest = 5
% 0.75/1.20
% 0.75/1.20 litorderings [0] = split
% 0.75/1.20 litorderings [1] = liftord
% 0.75/1.20
% 0.75/1.20 termordering = none
% 0.75/1.20
% 0.75/1.20 litapriori = 1
% 0.75/1.20 termapriori = 0
% 0.75/1.20 litaposteriori = 0
% 0.75/1.20 termaposteriori = 0
% 0.75/1.20 demodaposteriori = 0
% 0.75/1.20 ordereqreflfact = 0
% 0.75/1.20
% 0.75/1.20 litselect = negative
% 0.75/1.20
% 0.75/1.20 maxweight = 30000
% 0.75/1.20 maxdepth = 30000
% 0.75/1.20 maxlength = 115
% 0.75/1.20 maxnrvars = 195
% 0.75/1.20 excuselevel = 0
% 0.75/1.20 increasemaxweight = 0
% 0.75/1.20
% 0.75/1.20 maxselected = 10000000
% 0.75/1.20 maxnrclauses = 10000000
% 0.75/1.20
% 0.75/1.20 showgenerated = 0
% 0.75/1.20 showkept = 0
% 0.75/1.20 showselected = 0
% 0.75/1.20 showdeleted = 0
% 0.75/1.20 showresimp = 1
% 0.75/1.20 showstatus = 2000
% 0.75/1.20
% 0.75/1.20 prologoutput = 1
% 0.75/1.20 nrgoals = 5000000
% 0.75/1.20 totalproof = 1
% 0.75/1.20
% 0.75/1.20 Symbols occurring in the translation:
% 0.75/1.20
% 0.75/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.20 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.20 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.75/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.20 equalish [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.20 add [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.20 subtract [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.20 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.20 b [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.20 c [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Starting Search:
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Intermediate Status:
% 0.75/1.20 Generated: 2487
% 0.75/1.20 Kept: 2006
% 0.75/1.20 Inuse: 138
% 0.75/1.20 Deleted: 1
% 0.75/1.20 Deletedinuse: 0
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Intermediate Status:
% 0.75/1.20 Generated: 5001
% 0.75/1.20 Kept: 4062
% 0.75/1.20 Inuse: 183
% 0.75/1.20 Deleted: 1
% 0.75/1.20 Deletedinuse: 0
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Intermediate Status:
% 0.75/1.20 Generated: 7212
% 0.75/1.20 Kept: 6085
% 0.75/1.20 Inuse: 235
% 0.75/1.20 Deleted: 1
% 0.75/1.20 Deletedinuse: 0
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Bliksems!, er is een bewijs:
% 0.75/1.20 % SZS status Unsatisfiable
% 0.75/1.20 % SZS output start Refutation
% 0.75/1.20
% 0.75/1.20 clause( 0, [ equalish( X, X ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 0.75/1.20 ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 4, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 5, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 6, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z ), Y
% 0.75/1.20 ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y
% 0.75/1.20 ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 8, [ ~( equalish( X, Y ) ), equalish( Z, add( Y, T ) ), ~( equalish(
% 0.75/1.20 Z, add( X, T ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.75/1.20 equalish( Z, subtract( X, T ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 12, [ ~( equalish( add( subtract( a, b ), c ), add( a, subtract( c
% 0.75/1.20 , b ) ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 17, [ equalish( X, Y ), ~( equalish( X, subtract( add( Y, Z ), Z )
% 0.75/1.20 ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) ) ]
% 0.75/1.20 )
% 0.75/1.20 .
% 0.75/1.20 clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X, Z
% 0.75/1.20 ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.75/1.20 subtract( add( Y, Z ), T ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 28, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 32, [ equalish( X, Y ), ~( equalish( X, add( subtract( Y, Z ), Z )
% 0.75/1.20 ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 50, [ equalish( add( X, Z ), add( Y, Z ) ), ~( equalish( X, Y ) ) ]
% 0.75/1.20 )
% 0.75/1.20 .
% 0.75/1.20 clause( 63, [ equalish( add( add( subtract( X, Y ), Z ), T ), add( subtract(
% 0.75/1.20 add( X, Z ), Y ), T ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 134, [ equalish( X, subtract( Z, Y ) ), ~( equalish( add( X, Y ), Z
% 0.75/1.20 ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 6279, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X, Z )
% 0.75/1.20 ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 6317, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z, X )
% 0.75/1.20 ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 7930, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z, X )
% 0.75/1.20 , Y ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 8006, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract( Z,
% 0.75/1.20 Y ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 8045, [] )
% 0.75/1.20 .
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 % SZS output end Refutation
% 0.75/1.20 found a proof!
% 0.75/1.20
% 0.75/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.20
% 0.75/1.20 initialclauses(
% 0.75/1.20 [ clause( 8047, [ equalish( X, X ) ] )
% 0.75/1.20 , clause( 8048, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.75/1.20 , Z ) ] )
% 0.75/1.20 , clause( 8049, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.75/1.20 , clause( 8050, [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) )
% 0.75/1.20 ] )
% 0.75/1.20 , clause( 8051, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.75/1.20 , clause( 8052, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.75/1.20 , clause( 8053, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , clause( 8054, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , clause( 8055, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( X, T ) ) ),
% 0.75/1.20 equalish( Z, add( Y, T ) ) ] )
% 0.75/1.20 , clause( 8056, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( T, X ) ) ),
% 0.75/1.20 equalish( Z, add( T, Y ) ) ] )
% 0.75/1.20 , clause( 8057, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T ) )
% 0.75/1.20 ), equalish( Z, subtract( Y, T ) ) ] )
% 0.75/1.20 , clause( 8058, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( T, X ) )
% 0.75/1.20 ), equalish( Z, subtract( T, Y ) ) ] )
% 0.75/1.20 , clause( 8059, [ ~( equalish( add( subtract( a, b ), c ), add( a, subtract(
% 0.75/1.20 c, b ) ) ) ) ] )
% 0.75/1.20 ] ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 0, [ equalish( X, X ) ] )
% 0.75/1.20 , clause( 8047, [ equalish( X, X ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 0.75/1.20 ] )
% 0.75/1.20 , clause( 8048, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.75/1.20 , Z ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.75/1.20 , clause( 8049, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.20 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 4, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.75/1.20 , clause( 8051, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.20 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 5, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.75/1.20 , clause( 8052, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.20 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 6, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z ), Y
% 0.75/1.20 ) ) ] )
% 0.75/1.20 , clause( 8053, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y
% 0.75/1.20 ) ) ] )
% 0.75/1.20 , clause( 8054, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 8, [ ~( equalish( X, Y ) ), equalish( Z, add( Y, T ) ), ~( equalish(
% 0.75/1.20 Z, add( X, T ) ) ) ] )
% 0.75/1.20 , clause( 8055, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( X, T ) ) ),
% 0.75/1.20 equalish( Z, add( Y, T ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.75/1.20 equalish( Z, subtract( X, T ) ) ) ] )
% 0.75/1.20 , clause( 8057, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T ) )
% 0.75/1.20 ), equalish( Z, subtract( Y, T ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 12, [ ~( equalish( add( subtract( a, b ), c ), add( a, subtract( c
% 0.75/1.20 , b ) ) ) ) ] )
% 0.75/1.20 , clause( 8059, [ ~( equalish( add( subtract( a, b ), c ), add( a, subtract(
% 0.75/1.20 c, b ) ) ) ) ] )
% 0.75/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8078, [ ~( equalish( X, subtract( add( Y, Z ), Z ) ) ), equalish( X
% 0.75/1.20 , Y ) ] )
% 0.75/1.20 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.75/1.20 ) ] )
% 0.75/1.20 , 2, clause( 4, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, subtract( add( Y, Z ), Z ) ),
% 0.75/1.20 :=( Z, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 17, [ equalish( X, Y ), ~( equalish( X, subtract( add( Y, Z ), Z )
% 0.75/1.20 ) ) ] )
% 0.75/1.20 , clause( 8078, [ ~( equalish( X, subtract( add( Y, Z ), Z ) ) ), equalish(
% 0.75/1.20 X, Y ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8080, [ ~( equalish( X, add( Y, Z ) ) ), equalish( X, add( Z, Y ) )
% 0.75/1.20 ] )
% 0.75/1.20 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.75/1.20 ) ] )
% 0.75/1.20 , 2, clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, add( Y, Z ) ), :=( Z, add( Z, Y
% 0.75/1.20 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , clause( 8080, [ ~( equalish( X, add( Y, Z ) ) ), equalish( X, add( Z, Y )
% 0.75/1.20 ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8081, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X,
% 0.75/1.20 Z ) ) ) ] )
% 0.75/1.20 , clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) )
% 0.75/1.20 ] )
% 0.75/1.20 , 1, clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, subtract( add( X, Y ), Z ) ), :=( Y,
% 0.75/1.20 subtract( X, Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.75/1.20 Y ), :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X, Z
% 0.75/1.20 ) ) ) ] )
% 0.75/1.20 , clause( 8081, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X
% 0.75/1.20 , Z ) ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8083, [ ~( equalish( X, subtract( add( Y, Z ), T ) ) ), equalish( X
% 0.75/1.20 , add( Z, subtract( Y, T ) ) ) ] )
% 0.75/1.20 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.75/1.20 ) ] )
% 0.75/1.20 , 2, clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract(
% 0.75/1.20 X, Z ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, subtract( add( Y, Z ), T ) ),
% 0.75/1.20 :=( Z, add( Z, subtract( Y, T ) ) )] ), substitution( 1, [ :=( X, Y ),
% 0.75/1.20 :=( Y, Z ), :=( Z, T )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.75/1.20 subtract( add( Y, Z ), T ) ) ) ] )
% 0.75/1.20 , clause( 8083, [ ~( equalish( X, subtract( add( Y, Z ), T ) ) ), equalish(
% 0.75/1.20 X, add( Z, subtract( Y, T ) ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8084, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.75/1.20 , clause( 17, [ equalish( X, Y ), ~( equalish( X, subtract( add( Y, Z ), Z
% 0.75/1.20 ) ) ) ] )
% 0.75/1.20 , 1, clause( 6, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, add( subtract( X, Y ), Y ) ), :=( Y, X ),
% 0.75/1.20 :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )
% 0.75/1.20 ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 28, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.75/1.20 , clause( 8084, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.20 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8086, [ ~( equalish( X, add( subtract( Y, Z ), Z ) ) ), equalish( X
% 0.75/1.20 , Y ) ] )
% 0.75/1.20 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.75/1.20 ) ] )
% 0.75/1.20 , 2, clause( 28, [ equalish( add( subtract( X, Y ), Y ), X ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, add( subtract( Y, Z ), Z ) ),
% 0.75/1.20 :=( Z, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 32, [ equalish( X, Y ), ~( equalish( X, add( subtract( Y, Z ), Z )
% 0.75/1.20 ) ) ] )
% 0.75/1.20 , clause( 8086, [ ~( equalish( X, add( subtract( Y, Z ), Z ) ) ), equalish(
% 0.75/1.20 X, Y ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8088, [ ~( equalish( X, Y ) ), equalish( add( X, Z ), add( Y, Z ) )
% 0.75/1.20 ] )
% 0.75/1.20 , clause( 8, [ ~( equalish( X, Y ) ), equalish( Z, add( Y, T ) ), ~(
% 0.75/1.20 equalish( Z, add( X, T ) ) ) ] )
% 0.75/1.20 , 2, clause( 0, [ equalish( X, X ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Z ) ), :=( T
% 0.75/1.20 , Z )] ), substitution( 1, [ :=( X, add( X, Z ) )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 50, [ equalish( add( X, Z ), add( Y, Z ) ), ~( equalish( X, Y ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , clause( 8088, [ ~( equalish( X, Y ) ), equalish( add( X, Z ), add( Y, Z )
% 0.75/1.20 ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8089, [ equalish( add( add( subtract( X, Y ), Z ), T ), add(
% 0.75/1.20 subtract( add( X, Z ), Y ), T ) ) ] )
% 0.75/1.20 , clause( 50, [ equalish( add( X, Z ), add( Y, Z ) ), ~( equalish( X, Y ) )
% 0.75/1.20 ] )
% 0.75/1.20 , 1, clause( 6, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, add( subtract( X, Y ), Z ) ), :=( Y,
% 0.75/1.20 subtract( add( X, Z ), Y ) ), :=( Z, T )] ), substitution( 1, [ :=( X, X
% 0.75/1.20 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 63, [ equalish( add( add( subtract( X, Y ), Z ), T ), add( subtract(
% 0.75/1.20 add( X, Z ), Y ), T ) ) ] )
% 0.75/1.20 , clause( 8089, [ equalish( add( add( subtract( X, Y ), Z ), T ), add(
% 0.75/1.20 subtract( add( X, Z ), Y ), T ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8091, [ ~( equalish( add( X, Y ), Z ) ), equalish( X, subtract( Z,
% 0.75/1.20 Y ) ) ] )
% 0.75/1.20 , clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.75/1.20 equalish( Z, subtract( X, T ) ) ) ] )
% 0.75/1.20 , 2, clause( 5, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, add( X, Y ) ), :=( Y, Z ), :=( Z, X ), :=( T
% 0.75/1.20 , Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 134, [ equalish( X, subtract( Z, Y ) ), ~( equalish( add( X, Y ), Z
% 0.75/1.20 ) ) ] )
% 0.75/1.20 , clause( 8091, [ ~( equalish( add( X, Y ), Z ) ), equalish( X, subtract( Z
% 0.75/1.20 , Y ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8092, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X, Z )
% 0.75/1.20 ) ] )
% 0.75/1.20 , clause( 32, [ equalish( X, Y ), ~( equalish( X, add( subtract( Y, Z ), Z
% 0.75/1.20 ) ) ) ] )
% 0.75/1.20 , 1, clause( 63, [ equalish( add( add( subtract( X, Y ), Z ), T ), add(
% 0.75/1.20 subtract( add( X, Z ), Y ), T ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, add( add( subtract( X, Y ), Z ), Y ) ), :=(
% 0.75/1.20 Y, add( X, Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.75/1.20 ), :=( Z, Z ), :=( T, Y )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 6279, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X, Z )
% 0.75/1.20 ) ] )
% 0.75/1.20 , clause( 8092, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X, Z
% 0.75/1.20 ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8093, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z, X )
% 0.75/1.20 ) ] )
% 0.75/1.20 , clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) )
% 0.75/1.20 ] )
% 0.75/1.20 , 1, clause( 6279, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( X
% 0.75/1.20 , Z ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, add( add( subtract( X, Y ), Z ), Y ) ), :=(
% 0.75/1.20 Y, X ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.75/1.20 Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 6317, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z, X )
% 0.75/1.20 ) ] )
% 0.75/1.20 , clause( 8093, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z, X
% 0.75/1.20 ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8094, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z, X )
% 0.75/1.20 , Y ) ) ] )
% 0.75/1.20 , clause( 134, [ equalish( X, subtract( Z, Y ) ), ~( equalish( add( X, Y )
% 0.75/1.20 , Z ) ) ] )
% 0.75/1.20 , 1, clause( 6317, [ equalish( add( add( subtract( X, Y ), Z ), Y ), add( Z
% 0.75/1.20 , X ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, add( subtract( X, Y ), Z ) ), :=( Y, Y ),
% 0.75/1.20 :=( Z, add( Z, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.75/1.20 , Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 7930, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z, X )
% 0.75/1.20 , Y ) ) ] )
% 0.75/1.20 , clause( 8094, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z, X
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8095, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract( Z,
% 0.75/1.20 Y ) ) ) ] )
% 0.75/1.20 , clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.75/1.20 subtract( add( Y, Z ), T ) ) ) ] )
% 0.75/1.20 , 1, clause( 7930, [ equalish( add( subtract( X, Y ), Z ), subtract( add( Z
% 0.75/1.20 , X ), Y ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, add( subtract( X, Y ), Z ) ), :=( Y, Z ),
% 0.75/1.20 :=( Z, X ), :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.75/1.20 :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 8006, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract( Z,
% 0.75/1.20 Y ) ) ) ] )
% 0.75/1.20 , clause( 8095, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract( Z
% 0.75/1.20 , Y ) ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 8096, [] )
% 0.75/1.20 , clause( 12, [ ~( equalish( add( subtract( a, b ), c ), add( a, subtract(
% 0.75/1.20 c, b ) ) ) ) ] )
% 0.75/1.20 , 0, clause( 8006, [ equalish( add( subtract( X, Y ), Z ), add( X, subtract(
% 0.75/1.20 Z, Y ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.75/1.20 Z, c )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 8045, [] )
% 0.75/1.20 , clause( 8096, [] )
% 0.75/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 end.
% 0.75/1.20
% 0.75/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.20
% 0.75/1.20 Memory use:
% 0.75/1.20
% 0.75/1.20 space for terms: 125191
% 0.75/1.20 space for clauses: 677658
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 clauses generated: 9467
% 0.75/1.20 clauses kept: 8046
% 0.75/1.20 clauses selected: 287
% 0.75/1.20 clauses deleted: 1
% 0.75/1.20 clauses inuse deleted: 0
% 0.75/1.20
% 0.75/1.20 subsentry: 4008
% 0.75/1.20 literals s-matched: 2556
% 0.75/1.20 literals matched: 2454
% 0.75/1.20 full subsumption: 106
% 0.75/1.20
% 0.75/1.20 checksum: -956748380
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Bliksem ended
%------------------------------------------------------------------------------