%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 23:30:41 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 1 23:05:19 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07 [
% 0.43/1.07 [ =( multiply( add( X, Y ), Y ), Y ) ],
% 0.43/1.07 [ =( multiply( X, add( Y, Z ) ), add( multiply( Y, X ), multiply( Z, X )
% 0.43/1.07 ) ) ],
% 0.43/1.07 [ =( add( X, inverse( X ) ), n1 ) ],
% 0.43/1.07 [ =( add( multiply( X, Y ), Y ), Y ) ],
% 0.43/1.07 [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add( Z, X ) ) )
% 0.43/1.07 ],
% 0.43/1.07 [ =( multiply( X, inverse( X ) ), n0 ) ],
% 0.43/1.07 [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ]
% 0.43/1.07 ] .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.07 This is a pure equality problem
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 1
% 0.43/1.07 useeqrefl = 1
% 0.43/1.07 useeqfact = 1
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 5
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = eqrewr
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.07
% 0.43/1.07 termordering = kbo
% 0.43/1.07
% 0.43/1.07 litapriori = 0
% 0.43/1.07 termapriori = 1
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = negord
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 1
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.07 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.07 inverse [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.07 n1 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.07 n0 [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.07 b [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.07 a [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 clause( 0, [ =( multiply( add( X, Y ), Y ), Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 1, [ =( add( multiply( Y, X ), multiply( Z, X ) ), multiply( X, add(
% 0.43/1.07 Y, Z ) ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 3, [ =( add( multiply( X, Y ), Y ), Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 6, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 8, [ =( add( Y, Y ), Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 16, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 22, [] )
% 0.43/1.07 .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 initialclauses(
% 0.43/1.07 [ clause( 24, [ =( multiply( add( X, Y ), Y ), Y ) ] )
% 0.43/1.07 , clause( 25, [ =( multiply( X, add( Y, Z ) ), add( multiply( Y, X ),
% 0.43/1.07 multiply( Z, X ) ) ) ] )
% 0.43/1.07 , clause( 26, [ =( add( X, inverse( X ) ), n1 ) ] )
% 0.43/1.07 , clause( 27, [ =( add( multiply( X, Y ), Y ), Y ) ] )
% 0.43/1.07 , clause( 28, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add(
% 0.43/1.07 Z, X ) ) ) ] )
% 0.43/1.07 , clause( 29, [ =( multiply( X, inverse( X ) ), n0 ) ] )
% 0.43/1.07 , clause( 30, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.43/1.07 ] ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 0, [ =( multiply( add( X, Y ), Y ), Y ) ] )
% 0.43/1.07 , clause( 24, [ =( multiply( add( X, Y ), Y ), Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 33, [ =( add( multiply( Y, X ), multiply( Z, X ) ), multiply( X,
% 0.43/1.07 add( Y, Z ) ) ) ] )
% 0.43/1.07 , clause( 25, [ =( multiply( X, add( Y, Z ) ), add( multiply( Y, X ),
% 0.43/1.07 multiply( Z, X ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ =( add( multiply( Y, X ), multiply( Z, X ) ), multiply( X, add(
% 0.43/1.07 Y, Z ) ) ) ] )
% 0.43/1.07 , clause( 33, [ =( add( multiply( Y, X ), multiply( Z, X ) ), multiply( X,
% 0.43/1.07 add( Y, Z ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ =( add( multiply( X, Y ), Y ), Y ) ] )
% 0.43/1.07 , clause( 27, [ =( add( multiply( X, Y ), Y ), Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 44, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07 , clause( 30, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07 , clause( 44, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 46, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.43/1.07 , clause( 3, [ =( add( multiply( X, Y ), Y ), Y ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 49, [ =( X, add( X, X ) ) ] )
% 0.43/1.07 , clause( 0, [ =( multiply( add( X, Y ), Y ), Y ) ] )
% 0.43/1.07 , 0, clause( 46, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.43/1.07 :=( X, add( Y, X ) ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 50, [ =( add( X, X ), X ) ] )
% 0.43/1.07 , clause( 49, [ =( X, add( X, X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 8, [ =( add( Y, Y ), Y ) ] )
% 0.43/1.07 , clause( 50, [ =( add( X, X ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 51, [ =( X, add( X, X ) ) ] )
% 0.43/1.07 , clause( 8, [ =( add( Y, Y ), Y ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 54, [ =( multiply( X, Y ), multiply( Y, add( X, X ) ) ) ] )
% 0.43/1.07 , clause( 1, [ =( add( multiply( Y, X ), multiply( Z, X ) ), multiply( X,
% 0.43/1.07 add( Y, Z ) ) ) ] )
% 0.43/1.07 , 0, clause( 51, [ =( X, add( X, X ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.43/1.07 substitution( 1, [ :=( X, multiply( X, Y ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 55, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 , clause( 8, [ =( add( Y, Y ), Y ) ] )
% 0.43/1.07 , 0, clause( 54, [ =( multiply( X, Y ), multiply( Y, add( X, X ) ) ) ] )
% 0.43/1.07 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.43/1.07 :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 16, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 , clause( 55, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 56, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.43/1.07 , clause( 6, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 58, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.43/1.07 , clause( 16, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 , 0, clause( 56, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqrefl(
% 0.43/1.07 clause( 61, [] )
% 0.43/1.07 , clause( 58, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 22, [] )
% 0.43/1.07 , clause( 61, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 358
% 0.43/1.07 space for clauses: 2278
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 59
% 0.43/1.07 clauses kept: 23
% 0.43/1.07 clauses selected: 9
% 0.43/1.07 clauses deleted: 0
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 145
% 0.43/1.07 literals s-matched: 63
% 0.43/1.07 literals matched: 63
% 0.43/1.07 full subsumption: 0
% 0.43/1.07
% 0.43/1.07 checksum: -68153338
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------