%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 23:30:37 EDT 2022
% Result : Unsatisfiable 0.50s 0.94s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : BOO011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.09 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Wed Jun 1 17:16:59 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.50/0.94 *** allocated 10000 integers for termspace/termends
% 0.50/0.94 *** allocated 10000 integers for clauses
% 0.50/0.94 *** allocated 10000 integers for justifications
% 0.50/0.94 Bliksem 1.12
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 Automatic Strategy Selection
% 0.50/0.94
% 0.50/0.94 Clauses:
% 0.50/0.94 [
% 0.50/0.94 [ sum( X, Y, add( X, Y ) ) ],
% 0.50/0.94 [ product( X, Y, multiply( X, Y ) ) ],
% 0.50/0.94 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 0.50/0.94 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 0.50/0.94 [ sum( 'additive_identity', X, X ) ],
% 0.50/0.94 [ sum( X, 'additive_identity', X ) ],
% 0.50/0.94 [ product( 'multiplicative_identity', X, X ) ],
% 0.50/0.94 [ product( X, 'multiplicative_identity', X ) ],
% 0.50/0.94 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.50/0.94 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 0.50/0.94 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.50/0.94 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 0.50/0.94 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.50/0.94 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 0.50/0.94 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.50/0.94 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 0.50/0.94 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 0.50/0.94 sum( X, W, V0 ) ), product( Z, U, V0 ) ],
% 0.50/0.94 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 0.50/0.94 product( Z, U, V0 ) ), sum( X, W, V0 ) ],
% 0.50/0.94 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 0.50/0.94 sum( W, Y, V0 ) ), product( Z, U, V0 ) ],
% 0.50/0.94 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 0.50/0.94 product( Z, U, V0 ) ), sum( W, Y, V0 ) ],
% 0.50/0.94 [ sum( inverse( X ), X, 'multiplicative_identity' ) ],
% 0.50/0.94 [ sum( X, inverse( X ), 'multiplicative_identity' ) ],
% 0.50/0.94 [ product( inverse( X ), X, 'additive_identity' ) ],
% 0.50/0.94 [ product( X, inverse( X ), 'additive_identity' ) ],
% 0.50/0.94 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 0.50/0.94 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.50/0.94 [ ~( =( inverse( 'additive_identity' ), 'multiplicative_identity' ) ) ]
% 0.50/0.94
% 0.50/0.94 ] .
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 percentage equality = 0.049180, percentage horn = 1.000000
% 0.50/0.94 This is a problem with some equality
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 Options Used:
% 0.50/0.94
% 0.50/0.94 useres = 1
% 0.50/0.94 useparamod = 1
% 0.50/0.94 useeqrefl = 1
% 0.50/0.94 useeqfact = 1
% 0.50/0.94 usefactor = 1
% 0.50/0.94 usesimpsplitting = 0
% 0.50/0.94 usesimpdemod = 5
% 0.50/0.94 usesimpres = 3
% 0.50/0.94
% 0.50/0.94 resimpinuse = 1000
% 0.50/0.94 resimpclauses = 20000
% 0.50/0.94 substype = eqrewr
% 0.50/0.94 backwardsubs = 1
% 0.50/0.94 selectoldest = 5
% 0.50/0.94
% 0.50/0.94 litorderings [0] = split
% 0.50/0.94 litorderings [1] = extend the termordering, first sorting on arguments
% 0.50/0.94
% 0.50/0.94 termordering = kbo
% 0.50/0.94
% 0.50/0.94 litapriori = 0
% 0.50/0.94 termapriori = 1
% 0.50/0.94 litaposteriori = 0
% 0.50/0.94 termaposteriori = 0
% 0.50/0.94 demodaposteriori = 0
% 0.50/0.94 ordereqreflfact = 0
% 0.50/0.94
% 0.50/0.94 litselect = negord
% 0.50/0.94
% 0.50/0.94 maxweight = 15
% 0.50/0.94 maxdepth = 30000
% 0.50/0.94 maxlength = 115
% 0.50/0.94 maxnrvars = 195
% 0.50/0.94 excuselevel = 1
% 0.50/0.94 increasemaxweight = 1
% 0.50/0.94
% 0.50/0.94 maxselected = 10000000
% 0.50/0.94 maxnrclauses = 10000000
% 0.50/0.94
% 0.50/0.94 showgenerated = 0
% 0.50/0.94 showkept = 0
% 0.50/0.94 showselected = 0
% 0.50/0.94 showdeleted = 0
% 0.50/0.94 showresimp = 1
% 0.50/0.94 showstatus = 2000
% 0.50/0.94
% 0.50/0.94 prologoutput = 1
% 0.50/0.94 nrgoals = 5000000
% 0.50/0.94 totalproof = 1
% 0.50/0.94
% 0.50/0.94 Symbols occurring in the translation:
% 0.50/0.94
% 0.50/0.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.50/0.94 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.50/0.94 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.50/0.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/0.94 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/0.94 add [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.50/0.94 sum [42, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.50/0.94 multiply [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.50/0.94 product [44, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.50/0.94 'additive_identity' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.50/0.94 'multiplicative_identity' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.50/0.94 inverse [52, 1] (w:1, o:25, a:1, s:1, b:0).
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 Starting Search:
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 Bliksems!, er is een bewijs:
% 0.50/0.94 % SZS status Unsatisfiable
% 0.50/0.94 % SZS output start Refutation
% 0.50/0.94
% 0.50/0.94 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 6, [ product( 'multiplicative_identity', X, X ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 7, [ product( X, 'multiplicative_identity', X ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 17, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.50/0.94 )
% 0.50/0.94 .
% 0.50/0.94 clause( 22, [ ~( =( inverse( 'additive_identity' ),
% 0.50/0.94 'multiplicative_identity' ) ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 143, [ ~( product( 'multiplicative_identity', X, Y ) ), =( X, Y ) ]
% 0.50/0.94 )
% 0.50/0.94 .
% 0.50/0.94 clause( 208, [ ~( =( X, 'multiplicative_identity' ) ), ~( product(
% 0.50/0.94 'multiplicative_identity', inverse( 'additive_identity' ), X ) ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 213, [ sum( X, Y, Y ), ~( product( 'multiplicative_identity', X,
% 0.50/0.94 'additive_identity' ) ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 221, [ ~( product( 'multiplicative_identity', inverse(
% 0.50/0.94 'additive_identity' ), 'multiplicative_identity' ) ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 782, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 823, [ =( inverse( 'additive_identity' ), 'multiplicative_identity'
% 0.50/0.94 ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 896, [ ~( sum( 'additive_identity', 'multiplicative_identity', X )
% 0.50/0.94 ) ] )
% 0.50/0.94 .
% 0.50/0.94 clause( 939, [] )
% 0.50/0.94 .
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 % SZS output end Refutation
% 0.50/0.94 found a proof!
% 0.50/0.94
% 0.50/0.94 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/0.94
% 0.50/0.94 initialclauses(
% 0.50/0.94 [ clause( 941, [ sum( X, Y, add( X, Y ) ) ] )
% 0.50/0.94 , clause( 942, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.50/0.94 , clause( 943, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.50/0.94 , clause( 944, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 0.50/0.94 , clause( 945, [ sum( 'additive_identity', X, X ) ] )
% 0.50/0.94 , clause( 946, [ sum( X, 'additive_identity', X ) ] )
% 0.50/0.94 , clause( 947, [ product( 'multiplicative_identity', X, X ) ] )
% 0.50/0.94 , clause( 948, [ product( X, 'multiplicative_identity', X ) ] )
% 0.50/0.94 , clause( 949, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.50/0.94 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.50/0.94 , clause( 950, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.50/0.94 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 0.50/0.94 , clause( 951, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.50/0.94 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.50/0.94 , clause( 952, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.50/0.94 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 0.50/0.94 , clause( 953, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T
% 0.50/0.94 , W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 0.50/0.94 , clause( 954, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T
% 0.50/0.94 , W ) ), ~( product( Z, U, V0 ) ), sum( X, W, V0 ) ] )
% 0.50/0.94 , clause( 955, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 0.50/0.94 , W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 0.50/0.94 , clause( 956, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 0.50/0.94 , W ) ), ~( product( Z, U, V0 ) ), sum( W, Y, V0 ) ] )
% 0.50/0.94 , clause( 957, [ sum( inverse( X ), X, 'multiplicative_identity' ) ] )
% 0.50/0.94 , clause( 958, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 0.50/0.94 , clause( 959, [ product( inverse( X ), X, 'additive_identity' ) ] )
% 0.50/0.94 , clause( 960, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 0.50/0.94 , clause( 961, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.50/0.94 , clause( 962, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.50/0.94 ) ] )
% 0.50/0.94 , clause( 963, [ ~( =( inverse( 'additive_identity' ),
% 0.50/0.94 'multiplicative_identity' ) ) ] )
% 0.50/0.94 ] ).
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 subsumption(
% 0.50/0.94 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 0.50/0.94 , clause( 945, [ sum( 'additive_identity', X, X ) ] )
% 0.50/0.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 subsumption(
% 0.50/0.94 clause( 6, [ product( 'multiplicative_identity', X, X ) ] )
% 0.50/0.94 , clause( 947, [ product( 'multiplicative_identity', X, X ) ] )
% 0.50/0.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 subsumption(
% 0.50/0.94 clause( 7, [ product( X, 'multiplicative_identity', X ) ] )
% 0.50/0.94 , clause( 948, [ product( X, 'multiplicative_identity', X ) ] )
% 0.50/0.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 subsumption(
% 0.50/0.94 clause( 17, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 0.50/0.94 , clause( 958, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 0.50/0.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/0.94
% 0.50/0.94
% 0.50/0.94 subsumption(
% 0.50/0.94 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.50/0.94 , clause( 961, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.50/0.94 , sCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------