%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL123-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Fri Jul 15 00:12:54 EDT 2022
% Result : Unsatisfiable 0.71s 1.10s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL123-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % 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 : Tue May 31 10:04:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.10 *** allocated 10000 integers for termspace/termends
% 0.71/1.10 *** allocated 10000 integers for clauses
% 0.71/1.10 *** allocated 10000 integers for justifications
% 0.71/1.10 Bliksem 1.12
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Automatic Strategy Selection
% 0.71/1.10
% 0.71/1.10 Clauses:
% 0.71/1.10 [
% 0.71/1.10 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.71/1.10 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.71/1.10 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.71/1.10 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.71/1.10 'tc_prod'( Z, Z ) ) ],
% 0.71/1.10 [ 'c_in'( 'c_Pair'( 'v_y', 'v_z', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ],
% 0.71/1.10 [ 'c_in'( 'c_Pair'( 'v_x', 'v_xb', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ],
% 0.71/1.10 [ 'c_in'( 'c_Pair'( X, 'v_xaa'( X ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ],
% 0.71/1.10 [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( X ), 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.71/1.10 [ ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a'
% 0.71/1.10 , 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ) ],
% 0.71/1.10 [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, X, Z ), 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.71/1.10 [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, Z, X ), 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ]
% 0.71/1.10 ] .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 percentage equality = 0.000000, percentage horn = 1.000000
% 0.71/1.10 This is a near-Horn, non-equality problem
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Options Used:
% 0.71/1.10
% 0.71/1.10 useres = 1
% 0.71/1.10 useparamod = 0
% 0.71/1.10 useeqrefl = 0
% 0.71/1.10 useeqfact = 0
% 0.71/1.10 usefactor = 1
% 0.71/1.10 usesimpsplitting = 0
% 0.71/1.10 usesimpdemod = 0
% 0.71/1.10 usesimpres = 4
% 0.71/1.10
% 0.71/1.10 resimpinuse = 1000
% 0.71/1.10 resimpclauses = 20000
% 0.71/1.10 substype = standard
% 0.71/1.10 backwardsubs = 1
% 0.71/1.10 selectoldest = 5
% 0.71/1.10
% 0.71/1.10 litorderings [0] = split
% 0.71/1.10 litorderings [1] = liftord
% 0.71/1.10
% 0.71/1.10 termordering = none
% 0.71/1.10
% 0.71/1.10 litapriori = 1
% 0.71/1.10 termapriori = 0
% 0.71/1.10 litaposteriori = 0
% 0.71/1.10 termaposteriori = 0
% 0.71/1.10 demodaposteriori = 0
% 0.71/1.10 ordereqreflfact = 0
% 0.71/1.10
% 0.71/1.10 litselect = negative
% 0.71/1.10
% 0.71/1.10 maxweight = 30000
% 0.71/1.10 maxdepth = 30000
% 0.71/1.10 maxlength = 115
% 0.71/1.10 maxnrvars = 195
% 0.71/1.10 excuselevel = 0
% 0.71/1.10 increasemaxweight = 0
% 0.71/1.10
% 0.71/1.10 maxselected = 10000000
% 0.71/1.10 maxnrclauses = 10000000
% 0.71/1.10
% 0.71/1.10 showgenerated = 0
% 0.71/1.10 showkept = 0
% 0.71/1.10 showselected = 0
% 0.71/1.10 showdeleted = 0
% 0.71/1.10 showresimp = 1
% 0.71/1.10 showstatus = 2000
% 0.71/1.10
% 0.71/1.10 prologoutput = 1
% 0.71/1.10 nrgoals = 5000000
% 0.71/1.10 totalproof = 1
% 0.71/1.10
% 0.71/1.10 Symbols occurring in the translation:
% 0.71/1.10
% 0.71/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.10 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.71/1.10 ! [4, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.10 'tc_prod' [42, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.71/1.10 'c_in' [43, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl' [44, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.71/1.10
% 0.71/1.10 'c_Pair' [47, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.10 'v_y' [49, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.71/1.10 'v_z' [50, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.10 't_a' [51, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.10 'v_r' [52, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.10 'v_x' [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.10 'v_xb' [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.71/1.10 'v_xaa' [56, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.71/1.10 'v_xa' [59, 3] (w:1, o:58, a:1, s:1, b:0).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Starting Search:
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksems!, er is een bewijs:
% 0.71/1.10 % SZS status Unsatisfiable
% 0.71/1.10 % SZS output start Refutation
% 0.71/1.10
% 0.71/1.10 clause( 0, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.71/1.10 Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 1, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.71/1.10 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.71/1.10 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 2, [ 'c_in'( 'c_Pair'( 'v_y', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 3, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xb', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 4, [ 'c_in'( 'c_Pair'( X, 'v_xaa'( X ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 5, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( X ), 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 7, [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, X, Z ), 't_a', 't_a' ), 'v_r'
% 0.71/1.10 , 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a', 't_a' )
% 0.71/1.10 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a'
% 0.71/1.10 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 8, [ ~( 'c_in'( 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( X, 'v_xa'( Y, Z, X ), 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a'
% 0.71/1.10 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 24, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xaa'( 'v_xb' ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 25, [ 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 33, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( 'v_xb' ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 49, [ 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', X, 'v_xaa'( 'v_xb' ) ),
% 0.71/1.10 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.71/1.10 'v_y', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 61, [ 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', 'v_z', X ), 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X,
% 0.71/1.10 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 181, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y', 'v_z',
% 0.71/1.10 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ]
% 0.71/1.10 )
% 0.71/1.10 .
% 0.71/1.10 clause( 185, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y', 'v_z',
% 0.71/1.10 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'(
% 0.71/1.10 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 187, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r',
% 0.71/1.10 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 226, [ 'c_in'( 'c_Pair'( 'v_z', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 230, [] )
% 0.71/1.10 .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 % SZS output end Refutation
% 0.71/1.10 found a proof!
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 initialclauses(
% 0.71/1.10 [ clause( 232, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.71/1.10 , clause( 233, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.71/1.10 'c_in'( 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.71/1.10 , 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.71/1.10 , clause( 234, [ 'c_in'( 'c_Pair'( 'v_y', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 235, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xb', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 236, [ 'c_in'( 'c_Pair'( X, 'v_xaa'( X ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 237, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( X ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a'
% 0.71/1.10 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 238, [ ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_xb', X, 't_a',
% 0.71/1.10 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 239, [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, X, Z ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, X
% 0.71/1.10 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 240, [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, Z, X ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.71/1.10 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 ] ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 0, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.71/1.10 Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.71/1.10 , clause( 232, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 1, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.71/1.10 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.71/1.10 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.71/1.10 , clause( 233, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.71/1.10 'c_in'( 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.71/1.10 , 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.10 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 2, [ 'c_in'( 'c_Pair'( 'v_y', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 234, [ 'c_in'( 'c_Pair'( 'v_y', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 3, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xb', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 235, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xb', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 4, [ 'c_in'( 'c_Pair'( X, 'v_xaa'( X ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 236, [ 'c_in'( 'c_Pair'( X, 'v_xaa'( X ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.10 1 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 5, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( X ), 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 237, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( X ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a'
% 0.71/1.10 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.10 1 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 238, [ ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_xb', X, 't_a',
% 0.71/1.10 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.10 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 7, [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, X, Z ), 't_a', 't_a' ), 'v_r'
% 0.71/1.10 , 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a', 't_a' )
% 0.71/1.10 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a'
% 0.71/1.10 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 239, [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, X, Z ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, X
% 0.71/1.10 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 8, [ ~( 'c_in'( 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( X, 'v_xa'( Y, Z, X ), 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a'
% 0.71/1.10 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 240, [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, Z, X ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.71/1.10 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 252, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xaa'( 'v_xb' ), 't_a', 't_a' )
% 0.71/1.10 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.71/1.10 't_a' ) ) ] )
% 0.71/1.10 , clause( 4, [ 'c_in'( 'c_Pair'( X, 'v_xaa'( X ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , 1, clause( 3, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xb', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, 'v_xb' )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 24, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xaa'( 'v_xb' ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , clause( 252, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xaa'( 'v_xb' ), 't_a', 't_a'
% 0.71/1.10 ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.71/1.10 't_a' ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 254, [ ~( 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ), 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , clause( 1, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.71/1.10 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.71/1.10 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.71/1.10 , 2, clause( 24, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xaa'( 'v_xb' ), 't_a',
% 0.71/1.10 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, 'v_xaa'( 'v_xb' ) ), :=( Y, X ), :=( Z,
% 0.71/1.10 't_a' ), :=( T, 'v_r' ), :=( U, 'v_xb' )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 25, [ 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 254, [ ~( 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), X, 't_a', 't_a' )
% 0.71/1.10 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.71/1.10 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.10 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 255, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( 'v_xb' ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 5, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( X ), 't_a', 't_a' ), 'v_r'
% 0.71/1.10 , 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , 1, clause( 3, [ 'c_in'( 'c_Pair'( 'v_x', 'v_xb', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, 'v_xb' )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 33, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( 'v_xb' ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 255, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( 'v_xb' ), 't_a', 't_a' )
% 0.71/1.10 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 257, [ 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', X, 'v_xaa'( 'v_xb' ) ),
% 0.71/1.10 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.71/1.10 'v_y', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 7, [ 'c_in'( 'c_Pair'( X, 'v_xa'( Y, X, Z ), 't_a', 't_a' ),
% 0.71/1.10 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, X, 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.71/1.10 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , 2, clause( 33, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( 'v_xb' ), 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_y' ), :=( Z, 'v_xaa'( 'v_xb'
% 0.71/1.10 ) )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 49, [ 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', X, 'v_xaa'( 'v_xb' ) ),
% 0.71/1.10 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.71/1.10 'v_y', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 257, [ 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', X, 'v_xaa'( 'v_xb' ) )
% 0.71/1.10 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.71/1.10 'v_y', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.10 1 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 259, [ ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', 'v_z'
% 0.71/1.10 , X ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 8, [ ~( 'c_in'( 'c_Pair'( Y, X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( X, 'v_xa'( Y, Z, X ), 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 't_a'
% 0.71/1.10 , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , 2, clause( 2, [ 'c_in'( 'c_Pair'( 'v_y', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_y' ), :=( Z, 'v_z' )] ),
% 0.71/1.10 substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 61, [ 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', 'v_z', X ), 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X,
% 0.71/1.10 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 259, [ ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', 'v_z'
% 0.71/1.10 , X ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.10 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 260, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y', 'v_z',
% 0.71/1.10 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , clause( 61, [ 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', 'v_z', X ), 't_a',
% 0.71/1.10 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_y',
% 0.71/1.10 X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , 1, clause( 33, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa'( 'v_xb' ), 't_a', 't_a'
% 0.71/1.10 ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, 'v_xaa'( 'v_xb' ) )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 181, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y', 'v_z',
% 0.71/1.10 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , clause( 260, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y', 'v_z'
% 0.71/1.10 , 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) )
% 0.71/1.10 ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 261, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y', 'v_z',
% 0.71/1.10 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'(
% 0.71/1.10 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 0, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.71/1.10 'tc_prod'( Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.71/1.10 , 1, clause( 181, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y',
% 0.71/1.10 'v_z', 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a',
% 0.71/1.10 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y',
% 0.71/1.10 'v_z', 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ) ), :=( Y, 'v_r' ), :=( Z,
% 0.71/1.10 't_a' )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 185, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y', 'v_z',
% 0.71/1.10 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'(
% 0.71/1.10 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 261, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y', 'v_z'
% 0.71/1.10 , 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'(
% 0.71/1.10 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 262, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r',
% 0.71/1.10 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 25, [ 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ), ~( 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , 1, clause( 185, [ 'c_in'( 'c_Pair'( 'v_xaa'( 'v_xb' ), 'v_xa'( 'v_y',
% 0.71/1.10 'v_z', 'v_xaa'( 'v_xb' ) ), 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, 'v_xa'( 'v_y', 'v_z', 'v_xaa'( 'v_xb' ) ) )] )
% 0.71/1.10 , substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 187, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r',
% 0.71/1.10 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 262, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r',
% 0.71/1.10 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 263, [ 'c_in'( 'c_Pair'( 'v_z', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 49, [ 'c_in'( 'c_Pair'( X, 'v_xa'( 'v_y', X, 'v_xaa'( 'v_xb' ) )
% 0.71/1.10 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.71/1.10 'v_y', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , 1, clause( 2, [ 'c_in'( 'c_Pair'( 'v_y', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.71/1.10 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, 'v_z' )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 226, [ 'c_in'( 'c_Pair'( 'v_z', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , clause( 263, [ 'c_in'( 'c_Pair'( 'v_z', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 264, [ ~( 'c_in'( 'c_Pair'( 'v_xb', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r',
% 0.71/1.10 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_xb', X, 't_a', 't_a' ),
% 0.71/1.10 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.71/1.10 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.71/1.10 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , 1, clause( 226, [ 'c_in'( 'c_Pair'( 'v_z', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, 'v_xa'( 'v_y', 'v_z', 'v_xaa'( 'v_xb' ) ) )] )
% 0.71/1.10 , substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 265, [] )
% 0.71/1.10 , clause( 264, [ ~( 'c_in'( 'c_Pair'( 'v_xb', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r',
% 0.71/1.10 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.71/1.10 , 0, clause( 187, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_xa'( 'v_y', 'v_z', 'v_xaa'(
% 0.71/1.10 'v_xb' ) ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r',
% 0.71/1.10 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 230, [] )
% 0.71/1.10 , clause( 265, [] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 end.
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 Memory use:
% 0.71/1.10
% 0.71/1.10 space for terms: 6612
% 0.71/1.10 space for clauses: 24465
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 clauses generated: 263
% 0.71/1.10 clauses kept: 231
% 0.71/1.10 clauses selected: 122
% 0.71/1.10 clauses deleted: 0
% 0.71/1.10 clauses inuse deleted: 0
% 0.71/1.10
% 0.71/1.10 subsentry: 268
% 0.71/1.10 literals s-matched: 133
% 0.71/1.10 literals matched: 133
% 0.71/1.10 full subsumption: 2
% 0.71/1.10
% 0.71/1.10 checksum: -1133614336
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksem ended
%------------------------------------------------------------------------------