TSTP Solution File: COL121-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 00:12:53 EDT 2022
% Result : Unsatisfiable 0.80s 1.17s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue May 31 15:52:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.80/1.17 *** allocated 10000 integers for termspace/termends
% 0.80/1.17 *** allocated 10000 integers for clauses
% 0.80/1.17 *** allocated 10000 integers for justifications
% 0.80/1.17 Bliksem 1.12
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 Automatic Strategy Selection
% 0.80/1.17
% 0.80/1.17 Clauses:
% 0.80/1.17 [
% 0.80/1.17 [ ~( 'c_Comb_Odiamond'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.80/1.17 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( T, 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.80/1.17 [ ~( 'c_Comb_Odiamond'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.80/1.17 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( U, 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ), X
% 0.80/1.17 , 'tc_prod'( Y, Y ) ) ],
% 0.80/1.17 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.80/1.17 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.80/1.17 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.80/1.17 'tc_prod'( Z, Z ) ) ],
% 0.80/1.17 [ 'c_Comb_Odiamond'( 'v_r', 't_a' ) ],
% 0.80/1.17 [ 'c_in'( 'c_Pair'( 'v_ya', 'v_z', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ],
% 0.80/1.17 [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa', 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ],
% 0.80/1.17 [ 'c_in'( 'c_Pair'( X, 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ],
% 0.80/1.17 [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ]
% 0.80/1.17 ] .
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 percentage equality = 0.000000, percentage horn = 1.000000
% 0.80/1.17 This is a near-Horn, non-equality problem
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 Options Used:
% 0.80/1.17
% 0.80/1.17 useres = 1
% 0.80/1.17 useparamod = 0
% 0.80/1.17 useeqrefl = 0
% 0.80/1.17 useeqfact = 0
% 0.80/1.17 usefactor = 1
% 0.80/1.17 usesimpsplitting = 0
% 0.80/1.17 usesimpdemod = 0
% 0.80/1.17 usesimpres = 4
% 0.80/1.17
% 0.80/1.17 resimpinuse = 1000
% 0.80/1.17 resimpclauses = 20000
% 0.80/1.17 substype = standard
% 0.80/1.17 backwardsubs = 1
% 0.80/1.17 selectoldest = 5
% 0.80/1.17
% 0.80/1.17 litorderings [0] = split
% 0.80/1.17 litorderings [1] = liftord
% 0.80/1.17
% 0.80/1.17 termordering = none
% 0.80/1.17
% 0.80/1.17 litapriori = 1
% 0.80/1.17 termapriori = 0
% 0.80/1.17 litaposteriori = 0
% 0.80/1.17 termaposteriori = 0
% 0.80/1.17 demodaposteriori = 0
% 0.80/1.17 ordereqreflfact = 0
% 0.80/1.17
% 0.80/1.17 litselect = negative
% 0.80/1.17
% 0.80/1.17 maxweight = 30000
% 0.80/1.17 maxdepth = 30000
% 0.80/1.17 maxlength = 115
% 0.80/1.17 maxnrvars = 195
% 0.80/1.17 excuselevel = 0
% 0.80/1.17 increasemaxweight = 0
% 0.80/1.17
% 0.80/1.17 maxselected = 10000000
% 0.80/1.17 maxnrclauses = 10000000
% 0.80/1.17
% 0.80/1.17 showgenerated = 0
% 0.80/1.17 showkept = 0
% 0.80/1.17 showselected = 0
% 0.80/1.17 showdeleted = 0
% 0.80/1.17 showresimp = 1
% 0.80/1.17 showstatus = 2000
% 0.80/1.17
% 0.80/1.17 prologoutput = 1
% 0.80/1.17 nrgoals = 5000000
% 0.80/1.17 totalproof = 1
% 0.80/1.17
% 0.80/1.17 Symbols occurring in the translation:
% 0.80/1.17
% 0.80/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.17 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.80/1.17 ! [4, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.80/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.17 'c_Comb_Odiamond' [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.80/1.17 'c_Pair' [44, 4] (w:1, o:60, a:1, s:1, b:0),
% 0.80/1.17 'tc_prod' [45, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.80/1.17 'c_in' [46, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl' [48, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.80/1.17
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1' [49, 4] (w:1, o:61, a:1, s:1, b:0
% 0.80/1.17 ),
% 0.80/1.17 'v_r' [54, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.80/1.17 't_a' [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.80/1.17 'v_ya' [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.80/1.17 'v_z' [57, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.80/1.17 'v_y' [58, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.80/1.17 'v_xaa' [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.80/1.17 'v_x' [61, 1] (w:1, o:30, a:1, s:1, b:0).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 Starting Search:
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 Bliksems!, er is een bewijs:
% 0.80/1.17 % SZS status Unsatisfiable
% 0.80/1.17 % SZS output start Refutation
% 0.80/1.17
% 0.80/1.17 clause( 0, [ ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ),
% 0.80/1.17 ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.80/1.17 ), 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( T,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ), ~(
% 0.80/1.17 'c_Comb_Odiamond'( X, Y ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 1, [ ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ),
% 0.80/1.17 ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.80/1.17 ), 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( U,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ), X, 'tc_prod'(
% 0.80/1.17 Y, Y ) ), ~( 'c_Comb_Odiamond'( X, Y ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 2, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.80/1.17 Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 3, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.80/1.17 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 4, [ 'c_Comb_Odiamond'( 'v_r', 't_a' ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 5, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 6, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa', 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 7, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 8, [ 'c_in'( 'c_Pair'( X, 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 9, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 13, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', Z, Y, 't_a' ), 't_a', 't_a' )
% 0.80/1.17 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 18, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Z,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', Z, Y, 't_a' ), 't_a', 't_a' )
% 0.80/1.17 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a',
% 0.80/1.17 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 41, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( 'v_xaa' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 50, [ 'c_in'( 'c_Pair'( 'v_xaa', 'v_x'( 'v_xaa' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 51, [ 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ), X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 68, [ 'c_in'( 'c_Pair'( X, 'c_Comb_Odiamond__strip__lemmaE__1'(
% 0.80/1.17 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_ya', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 83, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' )
% 0.80/1.17 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.80/1.17 'v_ya', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 282, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 283, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 285, [ 'c_in'( 'c_Pair'( 'v_xaa',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 319, [ 'c_in'( 'c_Pair'( 'v_z', 'c_Comb_Odiamond__strip__lemmaE__1'(
% 0.80/1.17 'v_r', 'v_x'( 'v_xaa' ), 'v_z', 't_a' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 .
% 0.80/1.17 clause( 322, [] )
% 0.80/1.17 .
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 % SZS output end Refutation
% 0.80/1.17 found a proof!
% 0.80/1.17
% 0.80/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.17
% 0.80/1.17 initialclauses(
% 0.80/1.17 [ clause( 324, [ ~( 'c_Comb_Odiamond'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T
% 0.80/1.17 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( T, 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.80/1.17 , clause( 325, [ ~( 'c_Comb_Odiamond'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T
% 0.80/1.17 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( U, 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ), X
% 0.80/1.17 , 'tc_prod'( Y, Y ) ) ] )
% 0.80/1.17 , clause( 326, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.80/1.17 , clause( 327, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.80/1.17 'c_in'( 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.80/1.17 , 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.80/1.17 , clause( 328, [ 'c_Comb_Odiamond'( 'v_r', 't_a' ) ] )
% 0.80/1.17 , clause( 329, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 330, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa', 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , clause( 331, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , clause( 332, [ 'c_in'( 'c_Pair'( X, 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , clause( 333, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 ] ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 0, [ ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ),
% 0.80/1.17 ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.80/1.17 ), 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( T,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ), ~(
% 0.80/1.17 'c_Comb_Odiamond'( X, Y ) ) ] )
% 0.80/1.17 , clause( 324, [ ~( 'c_Comb_Odiamond'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T
% 0.80/1.17 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( T, 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.80/1.17 , U )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3
% 0.80/1.17 , 2 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 1, [ ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ),
% 0.80/1.17 ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.80/1.17 ), 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( U,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ), X, 'tc_prod'(
% 0.80/1.17 Y, Y ) ), ~( 'c_Comb_Odiamond'( X, Y ) ) ] )
% 0.80/1.17 , clause( 325, [ ~( 'c_Comb_Odiamond'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T
% 0.80/1.17 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( U, 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ), X
% 0.80/1.17 , 'tc_prod'( Y, Y ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.80/1.17 , U )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3
% 0.80/1.17 , 2 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 2, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.80/1.17 Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.80/1.17 , clause( 326, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.17 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 3, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.80/1.17 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.80/1.17 , clause( 327, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.80/1.17 'c_in'( 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.80/1.17 , 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.80/1.17 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 0.80/1.17 ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 4, [ 'c_Comb_Odiamond'( 'v_r', 't_a' ) ] )
% 0.80/1.17 , clause( 328, [ 'c_Comb_Odiamond'( 'v_r', 't_a' ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 5, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 329, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 6, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa', 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , clause( 330, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa', 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 7, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , clause( 331, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.80/1.17 1 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 8, [ 'c_in'( 'c_Pair'( X, 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , clause( 332, [ 'c_in'( 'c_Pair'( X, 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.80/1.17 1 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 9, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , clause( 333, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.80/1.17 1 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 341, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), 'c_in'( 'c_Pair'( Y, 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r',
% 0.80/1.17 Z, Y, 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r',
% 0.80/1.17 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 0, [ ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) )
% 0.80/1.17 , ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X
% 0.80/1.17 , Y ), 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( T,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ), ~(
% 0.80/1.17 'c_Comb_Odiamond'( X, Y ) ) ] )
% 0.80/1.17 , 3, clause( 4, [ 'c_Comb_Odiamond'( 'v_r', 't_a' ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_r' ), :=( Y, 't_a' ), :=( Z, X ), :=( T,
% 0.80/1.17 Y ), :=( U, Z )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 13, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', Z, Y, 't_a' ), 't_a', 't_a' )
% 0.80/1.17 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , clause( 341, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' )
% 0.80/1.17 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ) ), 'c_in'( 'c_Pair'( Y, 'c_Comb_Odiamond__strip__lemmaE__1'(
% 0.80/1.17 'v_r', Z, Y, 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'(
% 0.80/1.17 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 342, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), 'c_in'( 'c_Pair'( Z, 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r',
% 0.80/1.17 Z, Y, 't_a' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 1, [ ~( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) )
% 0.80/1.17 , ~( 'c_in'( 'c_Pair'( Z, U, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X
% 0.80/1.17 , Y ), 'tc_prod'( Y, Y ) ) ), 'c_in'( 'c_Pair'( U,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( X, U, T, Y ), Y, Y ), X, 'tc_prod'(
% 0.80/1.17 Y, Y ) ), ~( 'c_Comb_Odiamond'( X, Y ) ) ] )
% 0.80/1.17 , 3, clause( 4, [ 'c_Comb_Odiamond'( 'v_r', 't_a' ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_r' ), :=( Y, 't_a' ), :=( Z, X ), :=( T,
% 0.80/1.17 Y ), :=( U, Z )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 18, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Z,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', Z, Y, 't_a' ), 't_a', 't_a' )
% 0.80/1.17 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a',
% 0.80/1.17 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 , clause( 342, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' )
% 0.80/1.17 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ) ), 'c_in'( 'c_Pair'( Z, 'c_Comb_Odiamond__strip__lemmaE__1'(
% 0.80/1.17 'v_r', Z, Y, 't_a' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) )
% 0.80/1.17 ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 343, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( 'v_xaa' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , clause( 7, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , 1, clause( 6, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa', 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_xaa' )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 41, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( 'v_xaa' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , clause( 343, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( 'v_xaa' ), 't_a', 't_a' )
% 0.80/1.17 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 344, [ 'c_in'( 'c_Pair'( 'v_xaa', 'v_x'( 'v_xaa' ), 't_a', 't_a' )
% 0.80/1.17 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ) ] )
% 0.80/1.17 , clause( 8, [ 'c_in'( 'c_Pair'( X, 'v_x'( X ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , 1, clause( 6, [ 'c_in'( 'c_Pair'( 'v_y', 'v_xaa', 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_xaa' )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 50, [ 'c_in'( 'c_Pair'( 'v_xaa', 'v_x'( 'v_xaa' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , clause( 344, [ 'c_in'( 'c_Pair'( 'v_xaa', 'v_x'( 'v_xaa' ), 't_a', 't_a'
% 0.80/1.17 ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 346, [ ~( 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ), X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , clause( 3, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.80/1.17 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.80/1.17 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.80/1.17 , 2, clause( 50, [ 'c_in'( 'c_Pair'( 'v_xaa', 'v_x'( 'v_xaa' ), 't_a',
% 0.80/1.17 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_x'( 'v_xaa' ) ), :=( Y, X ), :=( Z, 't_a'
% 0.80/1.17 ), :=( T, 'v_r' ), :=( U, 'v_xaa' )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 51, [ 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ), X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , clause( 346, [ ~( 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ), X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.80/1.17 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 347, [ ~( 'c_in'( 'c_Pair'( 'v_ya', X, 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( X,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' )
% 0.80/1.17 , 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ),
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 13, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', Z, Y, 't_a' ), 't_a', 't_a' )
% 0.80/1.17 , 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , 2, clause( 41, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( 'v_xaa' ), 't_a', 't_a'
% 0.80/1.17 ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_ya' ), :=( Y, X ), :=( Z, 'v_x'( 'v_xaa'
% 0.80/1.17 ) )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 68, [ 'c_in'( 'c_Pair'( X, 'c_Comb_Odiamond__strip__lemmaE__1'(
% 0.80/1.17 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_ya', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 , clause( 347, [ ~( 'c_in'( 'c_Pair'( 'v_ya', X, 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( X,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' )
% 0.80/1.17 , 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ),
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.80/1.17 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 348, [ ~( 'c_in'( 'c_Pair'( 'v_ya', X, 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' )
% 0.80/1.17 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 18, [ ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Z,
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', Z, Y, 't_a' ), 't_a', 't_a' )
% 0.80/1.17 , 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Z, 't_a',
% 0.80/1.17 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 , 2, clause( 41, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_x'( 'v_xaa' ), 't_a', 't_a'
% 0.80/1.17 ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a',
% 0.80/1.17 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_ya' ), :=( Y, X ), :=( Z, 'v_x'( 'v_xaa'
% 0.80/1.17 ) )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 83, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' )
% 0.80/1.17 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.80/1.17 'v_ya', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 , clause( 348, [ ~( 'c_in'( 'c_Pair'( 'v_ya', X, 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' )
% 0.80/1.17 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.80/1.17 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 349, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 83, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' )
% 0.80/1.17 , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'(
% 0.80/1.17 'v_ya', X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 , 1, clause( 5, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_z' )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 282, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 349, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 350, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 2, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.80/1.17 'tc_prod'( Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.80/1.17 , 1, clause( 282, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ) ), :=( Y, 'v_r' ), :=( Z, 't_a' )] ),
% 0.80/1.17 substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 283, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 350, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 351, [ 'c_in'( 'c_Pair'( 'v_xaa',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 51, [ 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ), X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , 1, clause( 283, [ 'c_in'( 'c_Pair'( 'v_x'( 'v_xaa' ),
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r',
% 0.80/1.17 'v_x'( 'v_xaa' ), 'v_z', 't_a' ) )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 285, [ 'c_in'( 'c_Pair'( 'v_xaa',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , clause( 351, [ 'c_in'( 'c_Pair'( 'v_xaa',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 352, [ 'c_in'( 'c_Pair'( 'v_z', 'c_Comb_Odiamond__strip__lemmaE__1'(
% 0.80/1.17 'v_r', 'v_x'( 'v_xaa' ), 'v_z', 't_a' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , clause( 68, [ 'c_in'( 'c_Pair'( X, 'c_Comb_Odiamond__strip__lemmaE__1'(
% 0.80/1.17 'v_r', 'v_x'( 'v_xaa' ), X, 't_a' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ), ~( 'c_in'( 'c_Pair'( 'v_ya', X, 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 0.80/1.17 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 , 1, clause( 5, [ 'c_in'( 'c_Pair'( 'v_ya', 'v_z', 't_a', 't_a' ), 'v_r',
% 0.80/1.17 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'v_z' )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 319, [ 'c_in'( 'c_Pair'( 'v_z', 'c_Comb_Odiamond__strip__lemmaE__1'(
% 0.80/1.17 'v_r', 'v_x'( 'v_xaa' ), 'v_z', 't_a' ), 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ] )
% 0.80/1.17 , clause( 352, [ 'c_in'( 'c_Pair'( 'v_z',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 353, [ ~( 'c_in'( 'c_Pair'( 'v_xaa',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 , clause( 9, [ ~( 'c_in'( 'c_Pair'( 'v_xaa', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ), ~( 'c_in'( 'c_Pair'( 'v_z', X, 't_a', 't_a' ),
% 0.80/1.17 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.80/1.17 ) ) ) ] )
% 0.80/1.17 , 1, clause( 319, [ 'c_in'( 'c_Pair'( 'v_z',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [ :=( X, 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r',
% 0.80/1.17 'v_x'( 'v_xaa' ), 'v_z', 't_a' ) )] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 resolution(
% 0.80/1.17 clause( 354, [] )
% 0.80/1.17 , clause( 353, [ ~( 'c_in'( 'c_Pair'( 'v_xaa',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.80/1.17 , 0, clause( 285, [ 'c_in'( 'c_Pair'( 'v_xaa',
% 0.80/1.17 'c_Comb_Odiamond__strip__lemmaE__1'( 'v_r', 'v_x'( 'v_xaa' ), 'v_z',
% 0.80/1.17 't_a' ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' )
% 0.80/1.17 , 'tc_prod'( 't_a', 't_a' ) ) ] )
% 0.80/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 subsumption(
% 0.80/1.17 clause( 322, [] )
% 0.80/1.17 , clause( 354, [] )
% 0.80/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 end.
% 0.80/1.17
% 0.80/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.17
% 0.80/1.17 Memory use:
% 0.80/1.17
% 0.80/1.17 space for terms: 9823
% 0.80/1.17 space for clauses: 32132
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 clauses generated: 365
% 0.80/1.17 clauses kept: 323
% 0.80/1.17 clauses selected: 172
% 0.80/1.17 clauses deleted: 0
% 0.80/1.17 clauses inuse deleted: 0
% 0.80/1.17
% 0.80/1.17 subsentry: 381
% 0.80/1.17 literals s-matched: 228
% 0.80/1.17 literals matched: 228
% 0.80/1.17 full subsumption: 5
% 0.80/1.17
% 0.80/1.17 checksum: 1398615624
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 Bliksem ended
%------------------------------------------------------------------------------