%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL102-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 00:12:43 EDT 2022
% Result : Unsatisfiable 0.43s 1.10s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL102-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 : Tue May 31 10:09:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.10 *** allocated 10000 integers for termspace/termends
% 0.43/1.10 *** allocated 10000 integers for clauses
% 0.43/1.10 *** allocated 10000 integers for justifications
% 0.43/1.10 Bliksem 1.12
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Automatic Strategy Selection
% 0.43/1.10
% 0.43/1.10 Clauses:
% 0.43/1.10 [
% 0.43/1.10 [ 'c_in'( 'c_Pair'( 'v_y', 'v_za', 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 0.43/1.10 ,
% 0.43/1.10 [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ],
% 0.43/1.10 [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ]
% 0.43/1.10 ,
% 0.43/1.10 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ),
% 0.43/1.10 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 0.43/1.10 ,
% 0.43/1.10 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.43/1.10 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.43/1.10 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.43/1.10 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.43/1.10 'tc_prod'( Z, Z ) ) ]
% 0.43/1.10 ] .
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 percentage equality = 0.000000, percentage horn = 1.000000
% 0.43/1.10 This is a near-Horn, non-equality problem
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Options Used:
% 0.43/1.10
% 0.43/1.10 useres = 1
% 0.43/1.10 useparamod = 0
% 0.43/1.10 useeqrefl = 0
% 0.43/1.10 useeqfact = 0
% 0.43/1.10 usefactor = 1
% 0.43/1.10 usesimpsplitting = 0
% 0.43/1.10 usesimpdemod = 0
% 0.43/1.10 usesimpres = 4
% 0.43/1.10
% 0.43/1.10 resimpinuse = 1000
% 0.43/1.10 resimpclauses = 20000
% 0.43/1.10 substype = standard
% 0.43/1.10 backwardsubs = 1
% 0.43/1.10 selectoldest = 5
% 0.43/1.10
% 0.43/1.10 litorderings [0] = split
% 0.43/1.10 litorderings [1] = liftord
% 0.43/1.10
% 0.43/1.10 termordering = none
% 0.43/1.10
% 0.43/1.10 litapriori = 1
% 0.43/1.10 termapriori = 0
% 0.43/1.10 litaposteriori = 0
% 0.43/1.10 termaposteriori = 0
% 0.43/1.10 demodaposteriori = 0
% 0.43/1.10 ordereqreflfact = 0
% 0.43/1.10
% 0.43/1.10 litselect = negative
% 0.43/1.10
% 0.43/1.10 maxweight = 30000
% 0.43/1.10 maxdepth = 30000
% 0.43/1.10 maxlength = 115
% 0.43/1.10 maxnrvars = 195
% 0.43/1.10 excuselevel = 0
% 0.43/1.10 increasemaxweight = 0
% 0.43/1.10
% 0.43/1.10 maxselected = 10000000
% 0.43/1.10 maxnrclauses = 10000000
% 0.43/1.10
% 0.43/1.10 showgenerated = 0
% 0.43/1.10 showkept = 0
% 0.43/1.10 showselected = 0
% 0.43/1.10 showdeleted = 0
% 0.43/1.10 showresimp = 1
% 0.43/1.10 showstatus = 2000
% 0.43/1.10
% 0.43/1.10 prologoutput = 1
% 0.43/1.10 nrgoals = 5000000
% 0.43/1.10 totalproof = 1
% 0.43/1.10
% 0.43/1.10 Symbols occurring in the translation:
% 0.43/1.10
% 0.43/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.10 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.10 ! [4, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.10 'v_y' [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.10 'v_za' [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.10 'tc_Comb_Ocomb' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.10 'c_Pair' [42, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.43/1.10 'c_Comb_Ocontract' [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.10 'tc_prod' [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.10 'c_in' [45, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.43/1.10 'v_x' [46, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.10 'v_z' [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D' [48, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl' [49, 2] (w:1, o:56, a:1, s:1, b:0)
% 0.43/1.10 .
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Starting Search:
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Bliksems!, er is een bewijs:
% 0.43/1.10 % SZS status Unsatisfiable
% 0.43/1.10 % SZS output start Refutation
% 0.43/1.10
% 0.43/1.10 clause( 0, [ 'c_in'( 'c_Pair'( 'v_y', 'v_za', 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 .
% 0.43/1.10 clause( 1, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 .
% 0.43/1.10 clause( 2, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' )
% 0.43/1.10 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.43/1.10 .
% 0.43/1.10 clause( 3, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ), ~(
% 0.43/1.10 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ]
% 0.43/1.10 )
% 0.43/1.10 .
% 0.43/1.10 clause( 4, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.43/1.10 Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.43/1.10 .
% 0.43/1.10 clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.43/1.10 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.43/1.10 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.43/1.10 .
% 0.43/1.10 clause( 14, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 .
% 0.43/1.10 clause( 16, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 .
% 0.43/1.10 clause( 27, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ), X
% 0.43/1.10 , 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'(
% 0.43/1.10 'c_Comb_Ocontract', 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ), ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y'
% 0.43/1.10 , 'v_z' ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.43/1.10 .
% 0.43/1.10 clause( 93, [] )
% 0.43/1.10 .
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 % SZS output end Refutation
% 0.43/1.10 found a proof!
% 0.43/1.10
% 0.43/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.10
% 0.43/1.10 initialclauses(
% 0.43/1.10 [ clause( 95, [ 'c_in'( 'c_Pair'( 'v_y', 'v_za', 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 96, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' )
% 0.43/1.10 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 97, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z'
% 0.43/1.10 ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.43/1.10 , clause( 98, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 0.43/1.10 ), 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 0.43/1.10 , 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 99, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.43/1.10 , clause( 100, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.43/1.10 'c_in'( 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.43/1.10 , 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.43/1.10 ] ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 0, [ 'c_in'( 'c_Pair'( 'v_y', 'v_za', 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 95, [ 'c_in'( 'c_Pair'( 'v_y', 'v_za', 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 1, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 96, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' )
% 0.43/1.10 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 2, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' )
% 0.43/1.10 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.43/1.10 , clause( 97, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z'
% 0.43/1.10 ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 3, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ), ~(
% 0.43/1.10 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , clause( 98, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 0.43/1.10 ), 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 0.43/1.10 , 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 4, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.43/1.10 Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.43/1.10 , clause( 99, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.43/1.10 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.43/1.10 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.43/1.10 , clause( 100, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.43/1.10 'c_in'( 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.43/1.10 , 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.10 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 102, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , clause( 3, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ), ~(
% 0.43/1.10 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , 1, clause( 0, [ 'c_in'( 'c_Pair'( 'v_y', 'v_za', 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , 0, substitution( 0, [ :=( X, 'v_y' ), :=( Y, 'v_za' ), :=( Z, X )] ),
% 0.43/1.10 substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 14, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , clause( 102, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 103, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 4, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.43/1.10 'tc_prod'( Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.43/1.10 , 1, clause( 14, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Comb_Ocontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , 0, substitution( 0, [ :=( X, 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X
% 0.43/1.10 ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ), :=( Y, 'c_Comb_Ocontract' ), :=( Z, 'tc_Comb_Ocomb'
% 0.43/1.10 )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 16, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 103, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 105, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', 'v_z'
% 0.43/1.10 ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'(
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ), X, 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.43/1.10 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.43/1.10 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.43/1.10 , 2, clause( 1, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z'
% 0.43/1.10 ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , 0, substitution( 0, [ :=( X, 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', 'v_z' ) ),
% 0.43/1.10 :=( Y, X ), :=( Z, 'tc_Comb_Ocomb' ), :=( T, 'c_Comb_Ocontract' ), :=( U
% 0.43/1.10 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ) )] ), substitution( 1, [] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 27, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ), X
% 0.43/1.10 , 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'(
% 0.43/1.10 'c_Comb_Ocontract', 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ), ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y'
% 0.43/1.10 , 'v_z' ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.43/1.10 , clause( 105, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y',
% 0.43/1.10 'v_z' ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'(
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ), X, 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.10 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 106, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , clause( 27, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z' )
% 0.43/1.10 , X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'(
% 0.43/1.10 'c_Comb_Ocontract', 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ) ), ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y'
% 0.43/1.10 , 'v_z' ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' ),
% 0.43/1.10 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.43/1.10 , 1, clause( 16, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y', X ),
% 0.43/1.10 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', X ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 'tc_Comb_Ocomb' )
% 0.43/1.10 , 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , 0, substitution( 0, [ :=( X, 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ) )] )
% 0.43/1.10 , substitution( 1, [ :=( X, 'v_z' )] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 107, [] )
% 0.43/1.10 , clause( 2, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x', 'v_z'
% 0.43/1.10 ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.43/1.10 , 0, clause( 106, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x',
% 0.43/1.10 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_za', 'v_z' ), 'tc_Comb_Ocomb',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract',
% 0.43/1.10 'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 93, [] )
% 0.43/1.10 , clause( 107, [] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 end.
% 0.43/1.10
% 0.43/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.10
% 0.43/1.10 Memory use:
% 0.43/1.10
% 0.43/1.10 space for terms: 3128
% 0.43/1.10 space for clauses: 12514
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 clauses generated: 96
% 0.43/1.10 clauses kept: 94
% 0.43/1.10 clauses selected: 55
% 0.43/1.10 clauses deleted: 0
% 0.43/1.10 clauses inuse deleted: 0
% 0.43/1.10
% 0.43/1.10 subsentry: 96
% 0.43/1.10 literals s-matched: 49
% 0.43/1.10 literals matched: 49
% 0.43/1.10 full subsumption: 2
% 0.43/1.10
% 0.43/1.10 checksum: -735728768
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Bliksem ended
%------------------------------------------------------------------------------