%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL074-3 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Fri Jul 15 00:12:36 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL074-3 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 : Tue May 31 06:39:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09 [
% 0.71/1.09 [ =( apply( apply( k, X ), Y ), X ) ],
% 0.71/1.09 [ =( apply( projection1, pair( X, Y ) ), X ) ],
% 0.71/1.09 [ =( apply( projection2, pair( X, Y ) ), Y ) ],
% 0.71/1.09 [ =( pair( apply( projection1, X ), apply( projection2, X ) ), X ) ]
% 0.71/1.09 ,
% 0.71/1.09 [ =( apply( pair( X, Y ), Z ), pair( apply( X, Z ), apply( Y, Z ) ) ) ]
% 0.71/1.09 ,
% 0.71/1.09 [ =( apply( apply( apply( abstraction, X ), Y ), Z ), apply( apply( X,
% 0.71/1.09 apply( k, Z ) ), apply( Y, Z ) ) ) ],
% 0.71/1.09 [ =( apply( eq, pair( X, X ) ), projection1 ) ],
% 0.71/1.09 [ =( X, Y ), =( apply( eq, pair( X, Y ) ), projection2 ) ],
% 0.71/1.09 [ =( X, Y ), ~( =( apply( X, n( X, Y ) ), apply( Y, n( X, Y ) ) ) ) ]
% 0.71/1.09 ,
% 0.71/1.09 [ ~( =( projection1, projection2 ) ) ],
% 0.71/1.09 [ =( apply( k, projection1 ), 'k_projection1' ) ],
% 0.71/1.09 [ =( apply( k, projection2 ), 'k_projection2' ) ],
% 0.71/1.09 [ =( s, apply( eq, pair( apply( k, s ), apply( k, projection2 ) ) ) ) ]
% 0.71/1.09
% 0.71/1.09 ] .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 percentage equality = 1.000000, percentage horn = 0.923077
% 0.71/1.09 This is a pure equality problem
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Options Used:
% 0.71/1.09
% 0.71/1.09 useres = 1
% 0.71/1.09 useparamod = 1
% 0.71/1.09 useeqrefl = 1
% 0.71/1.09 useeqfact = 1
% 0.71/1.09 usefactor = 1
% 0.71/1.09 usesimpsplitting = 0
% 0.71/1.09 usesimpdemod = 5
% 0.71/1.09 usesimpres = 3
% 0.71/1.09
% 0.71/1.09 resimpinuse = 1000
% 0.71/1.09 resimpclauses = 20000
% 0.71/1.09 substype = eqrewr
% 0.71/1.09 backwardsubs = 1
% 0.71/1.09 selectoldest = 5
% 0.71/1.09
% 0.71/1.09 litorderings [0] = split
% 0.71/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.09
% 0.71/1.09 termordering = kbo
% 0.71/1.09
% 0.71/1.09 litapriori = 0
% 0.71/1.09 termapriori = 1
% 0.71/1.09 litaposteriori = 0
% 0.71/1.09 termaposteriori = 0
% 0.71/1.09 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = negord
% 0.71/1.09
% 0.71/1.09 maxweight = 15
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 1
% 0.71/1.09 increasemaxweight = 1
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 1
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 k [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.09 apply [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.71/1.09 projection1 [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.09 pair [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.71/1.09 projection2 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.09 abstraction [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.71/1.09 eq [48, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.71/1.09 n [49, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.71/1.09 'k_projection1' [50, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.09 'k_projection2' [51, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.09 s [52, 0] (w:1, o:5, a:1, s:1, b:0).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 clause( 0, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 6, [ =( apply( eq, pair( X, X ) ), projection1 ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 7, [ =( X, Y ), =( apply( eq, pair( X, Y ) ), projection2 ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 9, [ ~( =( projection2, projection1 ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 11, [ =( apply( k, projection2 ), 'k_projection2' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 12, [ =( apply( eq, pair( apply( k, s ), 'k_projection2' ) ), s ) ]
% 0.71/1.09 )
% 0.71/1.09 .
% 0.71/1.09 clause( 14, [ =( apply( 'k_projection2', X ), projection2 ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 42, [ =( projection2, s ), =( apply( k, s ), 'k_projection2' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 265, [ =( projection2, s ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 267, [ =( apply( k, s ), 'k_projection2' ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 274, [ ~( =( projection1, s ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 290, [] )
% 0.71/1.09 .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 initialclauses(
% 0.71/1.09 [ clause( 292, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.71/1.09 , clause( 293, [ =( apply( projection1, pair( X, Y ) ), X ) ] )
% 0.71/1.09 , clause( 294, [ =( apply( projection2, pair( X, Y ) ), Y ) ] )
% 0.71/1.09 , clause( 295, [ =( pair( apply( projection1, X ), apply( prCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------