TSTP Solution File: SET831-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET831-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 : Mon Jul 18 22:52:27 EDT 2022
% Result : Unsatisfiable 3.06s 3.47s
% Output : Refutation 3.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET831-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jul 11 02:53:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.06/3.47 *** allocated 10000 integers for termspace/termends
% 3.06/3.47 *** allocated 10000 integers for clauses
% 3.06/3.47 *** allocated 10000 integers for justifications
% 3.06/3.47 Bliksem 1.12
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 Automatic Strategy Selection
% 3.06/3.47
% 3.06/3.47 Clauses:
% 3.06/3.47 [
% 3.06/3.47 [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), 'c_lessequals'( 'v_X',
% 3.06/3.47 'v_Y', 'tc_set'( 't_a' ) ) ],
% 3.06/3.47 [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), 'c_lessequals'( 'v_X',
% 3.06/3.47 'v_Z', 'tc_set'( 't_a' ) ) ],
% 3.06/3.47 [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) )
% 3.06/3.47 ],
% 3.06/3.47 [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) )
% 3.06/3.47 ],
% 3.06/3.47 [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z'
% 3.06/3.47 , 't_a' ) ) ) ],
% 3.06/3.47 [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), 'c_lessequals'( X, 'v_X'
% 3.06/3.47 , 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X, 'v_Z', 'tc_set'( 't_a' ) ) )
% 3.06/3.47 , ~( 'c_lessequals'( X, 'v_Y', 'tc_set'( 't_a' ) ) ) ],
% 3.06/3.47 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 3.06/3.47 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 3.06/3.47 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 3.06/3.47 T, Y, Z ), Z ) ],
% 3.06/3.47 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 3.06/3.47 'c_in'( X, T, Z ) ],
% 3.06/3.47 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 3.06/3.47 , 'tc_set'( Z ) ) ],
% 3.06/3.47 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 3.06/3.47 X, Y, 'tc_set'( Z ) ) ],
% 3.06/3.47 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 3.06/3.47 'tc_set'( Z ) ) ), =( Y, X ) ]
% 3.06/3.47 ] .
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 percentage equality = 0.189189, percentage horn = 0.692308
% 3.06/3.47 This is a problem with some equality
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 Options Used:
% 3.06/3.47
% 3.06/3.47 useres = 1
% 3.06/3.47 useparamod = 1
% 3.06/3.47 useeqrefl = 1
% 3.06/3.47 useeqfact = 1
% 3.06/3.47 usefactor = 1
% 3.06/3.47 usesimpsplitting = 0
% 3.06/3.47 usesimpdemod = 5
% 3.06/3.47 usesimpres = 3
% 3.06/3.47
% 3.06/3.47 resimpinuse = 1000
% 3.06/3.47 resimpclauses = 20000
% 3.06/3.47 substype = eqrewr
% 3.06/3.47 backwardsubs = 1
% 3.06/3.47 selectoldest = 5
% 3.06/3.47
% 3.06/3.47 litorderings [0] = split
% 3.06/3.47 litorderings [1] = extend the termordering, first sorting on arguments
% 3.06/3.47
% 3.06/3.47 termordering = kbo
% 3.06/3.47
% 3.06/3.47 litapriori = 0
% 3.06/3.47 termapriori = 1
% 3.06/3.47 litaposteriori = 0
% 3.06/3.47 termaposteriori = 0
% 3.06/3.47 demodaposteriori = 0
% 3.06/3.47 ordereqreflfact = 0
% 3.06/3.47
% 3.06/3.47 litselect = negord
% 3.06/3.47
% 3.06/3.47 maxweight = 15
% 3.06/3.47 maxdepth = 30000
% 3.06/3.47 maxlength = 115
% 3.06/3.47 maxnrvars = 195
% 3.06/3.47 excuselevel = 1
% 3.06/3.47 increasemaxweight = 1
% 3.06/3.47
% 3.06/3.47 maxselected = 10000000
% 3.06/3.47 maxnrclauses = 10000000
% 3.06/3.47
% 3.06/3.47 showgenerated = 0
% 3.06/3.47 showkept = 0
% 3.06/3.47 showselected = 0
% 3.06/3.47 showdeleted = 0
% 3.06/3.47 showresimp = 1
% 3.06/3.47 showstatus = 2000
% 3.06/3.47
% 3.06/3.47 prologoutput = 1
% 3.06/3.47 nrgoals = 5000000
% 3.06/3.47 totalproof = 1
% 3.06/3.47
% 3.06/3.47 Symbols occurring in the translation:
% 3.06/3.47
% 3.06/3.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.06/3.47 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 3.06/3.47 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 3.06/3.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.06/3.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.06/3.47 'v_X' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.06/3.47 'v_Y' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 3.06/3.47 'v_Z' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.06/3.47 't_a' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.06/3.47 'c_inter' [43, 3] (w:1, o:50, a:1, s:1, b:0),
% 3.06/3.47 'tc_set' [44, 1] (w:1, o:24, a:1, s:1, b:0),
% 3.06/3.47 'c_lessequals' [45, 3] (w:1, o:51, a:1, s:1, b:0),
% 3.06/3.47 'v_x' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.06/3.47 'c_in' [52, 3] (w:1, o:52, a:1, s:1, b:0),
% 3.06/3.47 'c_Main_OsubsetI__1' [53, 3] (w:1, o:53, a:1, s:1, b:0).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 Starting Search:
% 3.06/3.47
% 3.06/3.47 Resimplifying inuse:
% 3.06/3.47 Done
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 Intermediate Status:
% 3.06/3.47 Generated: 302586
% 3.06/3.47 Kept: 2024
% 3.06/3.47 Inuse: 1072
% 3.06/3.47 Deleted: 361
% 3.06/3.47 Deletedinuse: 144
% 3.06/3.47
% 3.06/3.47 Resimplifying inuse:
% 3.06/3.47 Done
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 Bliksems!, er is een bewijs:
% 3.06/3.47 % SZS status Unsatisfiable
% 3.06/3.47 % SZS output start Refutation
% 3.06/3.47
% 3.06/3.47 clause( 0, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 1, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 2, [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.47 ), 'v_X' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 3, [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.47 ), 'v_X' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 4, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.47 ), 'v_X' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 5, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.47 X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X, 'v_Z', 'tc_set'(
% 3.06/3.47 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 6, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ]
% 3.06/3.47 )
% 3.06/3.47 .
% 3.06/3.47 clause( 7, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ]
% 3.06/3.47 )
% 3.06/3.47 .
% 3.06/3.47 clause( 8, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X,
% 3.06/3.47 'c_inter'( T, Y, Z ), Z ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 3.06/3.47 ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 13, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_inter'( Y, Y, Z ), Z )
% 3.06/3.47 ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 26, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( T, Y, Z ), Z ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 27, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( Y, T, Z ), Z ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 31, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( X, X, Z ), Z ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 53, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( X, Y ), ~(
% 3.06/3.47 'c_in'( 'c_Main_OsubsetI__1'( Y, X, Z ), X, Z ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 137, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z ) ) ]
% 3.06/3.47 )
% 3.06/3.47 .
% 3.06/3.47 clause( 144, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 145, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ]
% 3.06/3.47 )
% 3.06/3.47 .
% 3.06/3.47 clause( 153, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), ~( 'c_in'( X, Y, 't_a' ) ),
% 3.06/3.47 'c_in'( X, 'c_inter'( Y, 'v_Z', 't_a' ), 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 181, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z ) ) ]
% 3.06/3.47 )
% 3.06/3.47 .
% 3.06/3.47 clause( 186, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 187, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.47 =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 188, [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.47 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 189, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ]
% 3.06/3.47 )
% 3.06/3.47 .
% 3.06/3.47 clause( 190, [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.47 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 202, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'v_Y',
% 3.06/3.47 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 228, [ 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y ) ) ]
% 3.06/3.47 )
% 3.06/3.47 .
% 3.06/3.47 clause( 229, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 231, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 234, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 238, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.47 X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 244, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.47 X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 519, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 522, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 819, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'c_inter'(
% 3.06/3.47 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a'
% 3.06/3.47 ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 1470, [ ~( 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X'
% 3.06/3.47 , 'tc_set'( 't_a' ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ]
% 3.06/3.47 )
% 3.06/3.47 .
% 3.06/3.47 clause( 1496, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.47 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a'
% 3.06/3.47 ) ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 1509, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 1519, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z'
% 3.06/3.47 , 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 1521, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y'
% 3.06/3.47 , 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 1530, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.47 'v_X', 't_a' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 1542, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), ~( 'c_in'( X, 'v_Y', 't_a'
% 3.06/3.47 ) ), 'c_in'( X, 'v_X', 't_a' ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 2260, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.47 'v_Y', 't_a' ) ) ] )
% 3.06/3.47 .
% 3.06/3.47 clause( 2296, [] )
% 3.06/3.47 .
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 % SZS output end Refutation
% 3.06/3.47 found a proof!
% 3.06/3.47
% 3.06/3.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.06/3.47
% 3.06/3.47 initialclauses(
% 3.06/3.47 [ clause( 2298, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2299, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2300, [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z'
% 3.06/3.47 , 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2301, [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z'
% 3.06/3.47 , 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2302, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ),
% 3.06/3.47 ~( 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z'
% 3.06/3.47 , 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2303, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.47 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X,
% 3.06/3.47 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'(
% 3.06/3.47 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2304, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 3.06/3.47 T ) ] )
% 3.06/3.47 , clause( 2305, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y,
% 3.06/3.47 T ) ] )
% 3.06/3.47 , clause( 2306, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X
% 3.06/3.47 , 'c_inter'( T, Y, Z ), Z ) ] )
% 3.06/3.47 , clause( 2307, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 3.06/3.47 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.47 , clause( 2308, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , clause( 2309, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , clause( 2310, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.47 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.47 ] ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 eqswap(
% 3.06/3.47 clause( 2311, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2298, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , 0, substitution( 0, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 0, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2311, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.47 ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 eqswap(
% 3.06/3.47 clause( 2313, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2299, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , 0, substitution( 0, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 1, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2313, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.47 ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 eqswap(
% 3.06/3.47 clause( 2316, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2300, [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z'
% 3.06/3.47 , 't_a' ) ) ) ] )
% 3.06/3.47 , 3, substitution( 0, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 2, [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.47 ), 'v_X' ) ) ] )
% 3.06/3.47 , clause( 2316, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 3.06/3.47 , 1 ), ==>( 3, 2 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 eqswap(
% 3.06/3.47 clause( 2320, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2301, [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z'
% 3.06/3.47 , 't_a' ) ) ) ] )
% 3.06/3.47 , 3, substitution( 0, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 3, [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.47 ), 'v_X' ) ) ] )
% 3.06/3.47 , clause( 2320, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 3.06/3.47 , 1 ), ==>( 3, 2 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 eqswap(
% 3.06/3.47 clause( 2325, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2302, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ),
% 3.06/3.47 ~( 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z'
% 3.06/3.47 , 't_a' ) ) ) ] )
% 3.06/3.47 , 3, substitution( 0, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 4, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.47 ), 'v_X' ) ) ] )
% 3.06/3.47 , clause( 2325, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 3.06/3.47 , 1 ), ==>( 3, 2 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 eqswap(
% 3.06/3.47 clause( 2331, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.47 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X,
% 3.06/3.47 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'(
% 3.06/3.47 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2303, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.47 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X,
% 3.06/3.47 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'(
% 3.06/3.47 't_a' ) ) ) ] )
% 3.06/3.47 , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 5, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.47 X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X, 'v_Z', 'tc_set'(
% 3.06/3.47 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2331, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.47 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X,
% 3.06/3.47 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'(
% 3.06/3.47 't_a' ) ) ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.47 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 6, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ]
% 3.06/3.47 )
% 3.06/3.47 , clause( 2304, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 3.06/3.47 T ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 7, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ]
% 3.06/3.47 )
% 3.06/3.47 , clause( 2305, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y,
% 3.06/3.47 T ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 8, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X,
% 3.06/3.47 'c_inter'( T, Y, Z ), Z ) ] )
% 3.06/3.47 , clause( 2306, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X
% 3.06/3.47 , 'c_inter'( T, Y, Z ), Z ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 3.06/3.47 ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.47 , clause( 2307, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 3.06/3.47 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , clause( 2308, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , clause( 2309, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.47 , clause( 2310, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.47 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 factor(
% 3.06/3.47 clause( 2380, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_inter'( Y, Y, Z ), Z
% 3.06/3.47 ) ] )
% 3.06/3.47 , clause( 8, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X,
% 3.06/3.47 'c_inter'( T, Y, Z ), Z ) ] )
% 3.06/3.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 3.06/3.47 ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 13, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_inter'( Y, Y, Z ), Z )
% 3.06/3.47 ] )
% 3.06/3.47 , clause( 2380, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_inter'( Y, Y, Z ),
% 3.06/3.47 Z ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2381, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( T, Y, Z ), Z ) ) ] )
% 3.06/3.47 , clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , 0, clause( 6, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 3.06/3.47 T ) ] )
% 3.06/3.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, T ),
% 3.06/3.47 :=( Z, Y ), :=( T, Z )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 26, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( T, Y, Z ), Z ) ) ] )
% 3.06/3.47 , clause( 2381, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( T, Y, Z ), Z ) ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2382, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( Y, T, Z ), Z ) ) ] )
% 3.06/3.47 , clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , 0, clause( 7, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y,
% 3.06/3.47 T ) ] )
% 3.06/3.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, Y ),
% 3.06/3.47 :=( Z, T ), :=( T, Z )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 27, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( Y, T, Z ), Z ) ) ] )
% 3.06/3.47 , clause( 2382, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( Y, T, Z ), Z ) ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2383, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( X, X, Z
% 3.06/3.47 ), Z ), 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , clause( 13, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_inter'( Y, Y, Z ), Z
% 3.06/3.47 ) ] )
% 3.06/3.47 , 0, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, X
% 3.06/3.47 ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 3.06/3.47 ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 31, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( X, X, Z ), Z ) ] )
% 3.06/3.47 , clause( 2383, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( X, X
% 3.06/3.47 , Z ), Z ), 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2384, [ ~( 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ), ~(
% 3.06/3.47 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 3.06/3.47 , clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.47 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.47 , 0, clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 53, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( X, Y ), ~(
% 3.06/3.47 'c_in'( 'c_Main_OsubsetI__1'( Y, X, Z ), X, Z ) ) ] )
% 3.06/3.47 , clause( 2384, [ ~( 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ),
% 3.06/3.47 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2386, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z ) ),
% 3.06/3.47 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , clause( 26, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( T, Y, Z ), Z ) ) ] )
% 3.06/3.47 , 1, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , 0, substitution( 0, [ :=( X, 'c_inter'( X, Y, Z ) ), :=( Y, Y ), :=( Z, Z
% 3.06/3.47 ), :=( T, X )] ), substitution( 1, [ :=( X, 'c_inter'( X, Y, Z ) ), :=(
% 3.06/3.47 Y, Y ), :=( Z, Z )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 factor(
% 3.06/3.47 clause( 2387, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z ) ) ]
% 3.06/3.47 )
% 3.06/3.47 , clause( 2386, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z ) )
% 3.06/3.47 , 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 137, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z ) ) ]
% 3.06/3.47 )
% 3.06/3.47 , clause( 2387, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z ) )
% 3.06/3.47 ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 paramod(
% 3.06/3.47 clause( 2389, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 1, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , 0, clause( 137, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z )
% 3.06/3.47 ) ] )
% 3.06/3.47 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Y' ), :=( Y,
% 3.06/3.47 'v_Z' ), :=( Z, 't_a' )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 factor(
% 3.06/3.47 clause( 2390, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2389, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , 0, 1, substitution( 0, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 144, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2390, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2391, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ]
% 3.06/3.47 )
% 3.06/3.47 , clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 3.06/3.47 ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.47 , 1, clause( 144, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_X' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.47 'v_Z' )] ), substitution( 1, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 145, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ]
% 3.06/3.47 )
% 3.06/3.47 , clause( 2391, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' )
% 3.06/3.47 ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.47 1 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2392, [ ~( 'c_in'( X, Y, 't_a' ) ), 'c_in'( X, 'c_inter'( Y, 'v_Z'
% 3.06/3.47 , 't_a' ), 't_a' ), ~( 'c_in'( X, 'v_X', 't_a' ) ) ] )
% 3.06/3.47 , clause( 8, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X,
% 3.06/3.47 'c_inter'( T, Y, Z ), Z ) ] )
% 3.06/3.47 , 0, clause( 145, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a'
% 3.06/3.47 ) ] )
% 3.06/3.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_Z' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.47 Y )] ), substitution( 1, [ :=( X, X )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 153, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), ~( 'c_in'( X, Y, 't_a' ) ),
% 3.06/3.47 'c_in'( X, 'c_inter'( Y, 'v_Z', 't_a' ), 't_a' ) ] )
% 3.06/3.47 , clause( 2392, [ ~( 'c_in'( X, Y, 't_a' ) ), 'c_in'( X, 'c_inter'( Y,
% 3.06/3.47 'v_Z', 't_a' ), 't_a' ), ~( 'c_in'( X, 'v_X', 't_a' ) ) ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 3.06/3.47 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2396, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z ) ),
% 3.06/3.47 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , clause( 27, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.47 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( Y, T, Z ), Z ) ) ] )
% 3.06/3.47 , 1, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.47 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , 0, substitution( 0, [ :=( X, 'c_inter'( X, Y, Z ) ), :=( Y, X ), :=( Z, Z
% 3.06/3.47 ), :=( T, Y )] ), substitution( 1, [ :=( X, 'c_inter'( X, Y, Z ) ), :=(
% 3.06/3.47 Y, X ), :=( Z, Z )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 factor(
% 3.06/3.47 clause( 2397, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z ) ) ]
% 3.06/3.47 )
% 3.06/3.47 , clause( 2396, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z ) )
% 3.06/3.47 , 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z ) ) ] )
% 3.06/3.47 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 181, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z ) ) ]
% 3.06/3.47 )
% 3.06/3.47 , clause( 2397, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z ) )
% 3.06/3.47 ] )
% 3.06/3.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 paramod(
% 3.06/3.47 clause( 2399, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 0, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , 0, clause( 181, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z )
% 3.06/3.47 ) ] )
% 3.06/3.47 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Y' ), :=( Y,
% 3.06/3.47 'v_Z' ), :=( Z, 't_a' )] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 factor(
% 3.06/3.47 clause( 2400, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2399, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ),
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , 0, 1, substitution( 0, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 subsumption(
% 3.06/3.47 clause( 186, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , clause( 2400, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 eqswap(
% 3.06/3.47 clause( 2401, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.47 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 4, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.47 ), 'v_X' ) ) ] )
% 3.06/3.47 , 3, substitution( 0, [] )).
% 3.06/3.47
% 3.06/3.47
% 3.06/3.47 resolution(
% 3.06/3.47 clause( 2402, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.47 , clause( 2401, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.47 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.47 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.48 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 3, clause( 186, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2403, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2402, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 2, clause( 144, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2404, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2403, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 187, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.48 =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.48 , clause( 2404, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2405, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.48 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 3, [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.48 ), 'v_X' ) ) ] )
% 3.06/3.48 , 3, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2406, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2405, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.48 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 3, clause( 186, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2407, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 2406, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 2, clause( 144, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2408, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 2407, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 188, [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.48 , clause( 2408, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2409, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ]
% 3.06/3.48 )
% 3.06/3.48 , clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 3.06/3.48 ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.48 , 1, clause( 186, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_X' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.48 'v_Y' )] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 189, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ]
% 3.06/3.48 )
% 3.06/3.48 , clause( 2409, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' )
% 3.06/3.48 ] )
% 3.06/3.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.48 1 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2410, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.48 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2, [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ), ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.48 ), 'v_X' ) ) ] )
% 3.06/3.48 , 3, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2411, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2410, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_X', 'v_Y',
% 3.06/3.48 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 3, clause( 186, [ 'c_lessequals'( 'v_X', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2412, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 2411, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 2, clause( 144, [ 'c_lessequals'( 'v_X', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2413, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 2412, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 190, [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.48 , clause( 2413, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2414, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'v_Y',
% 3.06/3.48 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 189, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' )
% 3.06/3.48 ] )
% 3.06/3.48 , 0, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.48 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ) )] )
% 3.06/3.48 , substitution( 1, [ :=( X, 'v_X' ), :=( Y, X ), :=( Z, 't_a' )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 202, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'v_Y',
% 3.06/3.48 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 2414, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'v_Y',
% 3.06/3.48 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.48 1 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2415, [ 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y ) ),
% 3.06/3.48 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y ) ) ] )
% 3.06/3.48 , clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.48 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.48 , 0, clause( 31, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( X, X, Z ), Z ) ] )
% 3.06/3.48 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_inter'( X, X, Y ) ), :=( Z, Y
% 3.06/3.48 )] ), substitution( 1, [ :=( X, X ), :=( Y, 'c_inter'( X, X, Y ) ), :=(
% 3.06/3.48 Z, Y )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 factor(
% 3.06/3.48 clause( 2416, [ 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , clause( 2415, [ 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y ) )
% 3.06/3.48 , 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y ) ) ] )
% 3.06/3.48 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 228, [ 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , clause( 2416, [ 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y ) )
% 3.06/3.48 ] )
% 3.06/3.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.06/3.48 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2417, [ ~( 'c_lessequals'( 'c_inter'( X, X, Y ), X, 'tc_set'( Y ) )
% 3.06/3.48 ), =( 'c_inter'( X, X, Y ), X ) ] )
% 3.06/3.48 , clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.48 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.48 , 0, clause( 228, [ 'c_lessequals'( X, 'c_inter'( X, X, Y ), 'tc_set'( Y )
% 3.06/3.48 ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_inter'( X, X, Y ) ), :=( Z, Y
% 3.06/3.48 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2419, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 3.06/3.48 , clause( 2417, [ ~( 'c_lessequals'( 'c_inter'( X, X, Y ), X, 'tc_set'( Y )
% 3.06/3.48 ) ), =( 'c_inter'( X, X, Y ), X ) ] )
% 3.06/3.48 , 0, clause( 137, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z )
% 3.06/3.48 ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 3.06/3.48 , X ), :=( Y, X ), :=( Z, Y )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 229, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 3.06/3.48 , clause( 2419, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 3.06/3.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.06/3.48 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2421, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 187, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ),
% 3.06/3.48 ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2423, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'c_inter'( 'v_x', 'v_x',
% 3.06/3.48 't_a' ), 't_a' ) ] )
% 3.06/3.48 , clause( 2421, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 1, clause( 31, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_inter'( X, X, Z ), Z ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 'v_X'
% 3.06/3.48 ), :=( Z, 't_a' )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 paramod(
% 3.06/3.48 clause( 2424, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x'
% 3.06/3.48 , 't_a' ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 229, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 3.06/3.48 , 0, clause( 2423, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'c_inter'( 'v_x',
% 3.06/3.48 'v_x', 't_a' ), 't_a' ) ] )
% 3.06/3.48 , 1, 5, substitution( 0, [ :=( X, 'v_x' ), :=( Y, 't_a' )] ),
% 3.06/3.48 substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2425, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , clause( 2424, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_x', 't_a' ), ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 231, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , clause( 2425, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2426, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 187, [ ~( 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ),
% 3.06/3.48 ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2427, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , clause( 2426, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 1, clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.48 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 'v_X'
% 3.06/3.48 ), :=( Z, 't_a' )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2428, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , clause( 2427, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 234, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ] )
% 3.06/3.48 , clause( 2428, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2429, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 188, [ 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2430, [ ~( 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ),
% 3.06/3.48 ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 3.06/3.48 ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.48 , 1, clause( 2429, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Z', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_x' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.48 'v_Z' )] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2431, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ] )
% 3.06/3.48 , clause( 2430, [ ~( 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' )
% 3.06/3.48 , ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , 2, substitution( 0, [ :=( X, X )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 238, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.48 X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ] )
% 3.06/3.48 , clause( 2431, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ] )
% 3.06/3.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.48 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2432, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 190, [ 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2433, [ ~( 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ),
% 3.06/3.48 ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 3.06/3.48 ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.48 , 1, clause( 2432, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_lessequals'( 'v_x', 'v_Y', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_x' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.48 'v_Y' )] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2434, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.48 , clause( 2433, [ ~( 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' )
% 3.06/3.48 , ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , 2, substitution( 0, [ :=( X, X )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 244, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.48 X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.48 , clause( 2434, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.48 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2435, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.48 , clause( 244, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2436, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , clause( 231, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2437, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ), ~( =( 'v_X'
% 3.06/3.48 , 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2435, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.48 , 1, clause( 2436, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , 1, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' )
% 3.06/3.48 )] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 factor(
% 3.06/3.48 clause( 2438, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.48 , clause( 2437, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ), ~( =( 'v_X'
% 3.06/3.48 , 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , 0, 2, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2439, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.48 , clause( 2438, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 519, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.48 , clause( 2439, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2440, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ] )
% 3.06/3.48 , clause( 238, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2441, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , clause( 231, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2442, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ), ~( =( 'v_X'
% 3.06/3.48 , 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2440, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_in'( X, 'v_x', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ) ] )
% 3.06/3.48 , 1, clause( 2441, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_x', 't_a' ) ] )
% 3.06/3.48 , 1, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' )
% 3.06/3.48 )] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 factor(
% 3.06/3.48 clause( 2443, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.48 , clause( 2442, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ), ~( =( 'v_X'
% 3.06/3.48 , 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.48 , 0, 2, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2444, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.48 , clause( 2443, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 522, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.48 , clause( 2444, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2445, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'v_X',
% 3.06/3.48 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'c_inter'(
% 3.06/3.48 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a'
% 3.06/3.48 ) ) ] )
% 3.06/3.48 , clause( 153, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), ~( 'c_in'( X, Y, 't_a' ) )
% 3.06/3.48 , 'c_in'( X, 'c_inter'( Y, 'v_Z', 't_a' ), 't_a' ) ] )
% 3.06/3.48 , 1, clause( 202, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'v_Y'
% 3.06/3.48 , 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ) ),
% 3.06/3.48 :=( Y, 'v_Y' )] ), substitution( 1, [ :=( X, X )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2446, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'c_inter'(
% 3.06/3.48 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a'
% 3.06/3.48 ) ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , clause( 2445, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'v_X'
% 3.06/3.48 , 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'c_inter'(
% 3.06/3.48 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a'
% 3.06/3.48 ) ) ] )
% 3.06/3.48 , 0, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.48 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'v_X' ),
% 3.06/3.48 :=( Y, X ), :=( Z, 't_a' )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 factor(
% 3.06/3.48 clause( 2447, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'c_inter'(
% 3.06/3.48 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a'
% 3.06/3.48 ) ) ] )
% 3.06/3.48 , clause( 2446, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ),
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X,
% 3.06/3.48 'tc_set'( 't_a' ) ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 819, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ), 'c_inter'(
% 3.06/3.48 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a'
% 3.06/3.48 ) ) ] )
% 3.06/3.48 , clause( 2447, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ),
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X,
% 3.06/3.48 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.48 1 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2448, [ =( Y, X ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( Y, X, Z ), X, Z ) ) ] )
% 3.06/3.48 , clause( 53, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( X, Y ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( Y, X, Z ), X, Z ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2450, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ), 'c_lessequals'( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'(
% 3.06/3.48 't_a' ) ) ] )
% 3.06/3.48 , clause( 2448, [ =( Y, X ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 3.06/3.48 ~( 'c_in'( 'c_Main_OsubsetI__1'( Y, X, Z ), X, Z ) ) ] )
% 3.06/3.48 , 2, clause( 819, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', X, 't_a' ),
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 't_a' ), 'c_lessequals'( 'v_X', X,
% 3.06/3.48 'tc_set'( 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), :=( Y,
% 3.06/3.48 'v_X' ), :=( Z, 't_a' )] ), substitution( 1, [ :=( X, 'c_inter'( 'v_Y',
% 3.06/3.48 'v_Z', 't_a' ) )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2451, [ ~( 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X'
% 3.06/3.48 , 'tc_set'( 't_a' ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.48 =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.48 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.48 , 0, clause( 2450, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ), 'c_lessequals'( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'(
% 3.06/3.48 't_a' ) ) ] )
% 3.06/3.48 , 2, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_inter'( 'v_Y', 'v_Z',
% 3.06/3.48 't_a' ) ), :=( Z, 't_a' )] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2453, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~( 'c_lessequals'(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2451, [ ~( 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ),
% 3.06/3.48 'v_X', 'tc_set'( 't_a' ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X'
% 3.06/3.48 ), =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 2, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 factor(
% 3.06/3.48 clause( 2455, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , clause( 2453, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~( 'c_lessequals'(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 1, 3, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 factor(
% 3.06/3.48 clause( 2456, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , clause( 2455, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , 0, 2, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 1470, [ ~( 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X'
% 3.06/3.48 , 'tc_set'( 't_a' ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ]
% 3.06/3.48 )
% 3.06/3.48 , clause( 2456, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2459, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , clause( 1470, [ ~( 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ),
% 3.06/3.48 'v_X', 'tc_set'( 't_a' ) ) ), =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X'
% 3.06/3.48 ) ] )
% 3.06/3.48 , 1, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2460, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.48 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X,
% 3.06/3.48 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'(
% 3.06/3.48 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 5, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.48 X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X, 'v_Z', 'tc_set'(
% 3.06/3.48 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2461, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), =( 'v_X',
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~( 'c_lessequals'( 'c_inter'( 'v_Y',
% 3.06/3.48 'v_Z', 't_a' ), 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2459, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , 1, clause( 2460, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.48 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( X,
% 3.06/3.48 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X, 'v_Y', 'tc_set'(
% 3.06/3.48 't_a' ) ) ) ] )
% 3.06/3.48 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_inter'( 'v_Y',
% 3.06/3.48 'v_Z', 't_a' ) )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 factor(
% 3.06/3.48 clause( 2462, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Z', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ), ~( 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y',
% 3.06/3.48 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , clause( 2461, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), =( 'v_X',
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~( 'c_lessequals'( 'c_inter'( 'v_Y',
% 3.06/3.48 'v_Z', 't_a' ), 'v_Z', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.48 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 0, 1, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2465, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , clause( 2462, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Z', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ), ~( 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y',
% 3.06/3.48 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.48 , 1, clause( 137, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), Y, 'tc_set'( Z )
% 3.06/3.48 ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Y' ), :=( Y, 'v_Z'
% 3.06/3.48 ), :=( Z, 't_a' )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2466, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , clause( 2465, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 1496, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , clause( 2466, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.48 ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2468, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , clause( 1496, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.48 'c_lessequals'( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_Y', 'tc_set'( 't_a'
% 3.06/3.48 ) ) ) ] )
% 3.06/3.48 , 1, clause( 181, [ 'c_lessequals'( 'c_inter'( X, Y, Z ), X, 'tc_set'( Z )
% 3.06/3.48 ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Y' ), :=( Y, 'v_Z'
% 3.06/3.48 ), :=( Z, 't_a' )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 1509, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , clause( 2468, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2470, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.48 , clause( 1509, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2471, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.48 , clause( 522, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2472, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z'
% 3.06/3.48 , 't_a' ) ] )
% 3.06/3.48 , clause( 2471, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z', 't_a' ) ] )
% 3.06/3.48 , 0, clause( 2470, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 1519, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Z'
% 3.06/3.48 , 't_a' ) ] )
% 3.06/3.48 , clause( 2472, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Z', 't_a' ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2473, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.48 , clause( 1509, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2474, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.48 , clause( 519, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2475, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y'
% 3.06/3.48 , 't_a' ) ] )
% 3.06/3.48 , clause( 2474, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.48 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y', 't_a' ) ] )
% 3.06/3.48 , 0, clause( 2473, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 1521, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_Y'
% 3.06/3.48 , 't_a' ) ] )
% 3.06/3.48 , clause( 2475, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Y', 't_a' ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2476, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.48 , clause( 1509, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 eqswap(
% 3.06/3.48 clause( 2477, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , clause( 234, [ ~( =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , 0, substitution( 0, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2478, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_X', 't_a' ) ) ] )
% 3.06/3.48 , clause( 2477, [ ~( =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.48 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ), 'v_X', 't_a' ) ) ]
% 3.06/3.48 )
% 3.06/3.48 , 0, clause( 2476, [ =( 'v_X', 'c_inter'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 1530, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_X', 't_a' ) ) ] )
% 3.06/3.48 , clause( 2478, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_X', 't_a' ) ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 paramod(
% 3.06/3.48 clause( 2480, [ 'c_in'( X, 'v_X', 't_a' ), ~( 'c_in'( X, 'v_Z', 't_a' ) ),
% 3.06/3.48 ~( 'c_in'( X, 'v_Y', 't_a' ) ) ] )
% 3.06/3.48 , clause( 1509, [ =( 'c_inter'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.48 , 0, clause( 8, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X
% 3.06/3.48 , 'c_inter'( T, Y, Z ), Z ) ] )
% 3.06/3.48 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 'v_Z'
% 3.06/3.48 ), :=( Z, 't_a' ), :=( T, 'v_Y' )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 1542, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), ~( 'c_in'( X, 'v_Y', 't_a'
% 3.06/3.48 ) ), 'c_in'( X, 'v_X', 't_a' ) ] )
% 3.06/3.48 , clause( 2480, [ 'c_in'( X, 'v_X', 't_a' ), ~( 'c_in'( X, 'v_Z', 't_a' ) )
% 3.06/3.48 , ~( 'c_in'( X, 'v_Y', 't_a' ) ) ] )
% 3.06/3.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 3.06/3.48 0 ), ==>( 2, 1 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2481, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Z', 't_a' ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' )
% 3.06/3.48 , 'v_Y', 't_a' ) ) ] )
% 3.06/3.48 , clause( 1530, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_X', 't_a' ) ) ] )
% 3.06/3.48 , 0, clause( 1542, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), ~( 'c_in'( X, 'v_Y',
% 3.06/3.48 't_a' ) ), 'c_in'( X, 'v_X', 't_a' ) ] )
% 3.06/3.48 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'(
% 3.06/3.48 'v_x', 'v_X', 't_a' ) )] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2482, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Y', 't_a' ) ) ] )
% 3.06/3.48 , clause( 2481, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Z', 't_a' ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' )
% 3.06/3.48 , 'v_Y', 't_a' ) ) ] )
% 3.06/3.48 , 0, clause( 1519, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Z', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 2260, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Y', 't_a' ) ) ] )
% 3.06/3.48 , clause( 2482, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Y', 't_a' ) ) ] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 resolution(
% 3.06/3.48 clause( 2483, [] )
% 3.06/3.48 , clause( 2260, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Y', 't_a' ) ) ] )
% 3.06/3.48 , 0, clause( 1521, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_x', 'v_X', 't_a' ),
% 3.06/3.48 'v_Y', 't_a' ) ] )
% 3.06/3.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 subsumption(
% 3.06/3.48 clause( 2296, [] )
% 3.06/3.48 , clause( 2483, [] )
% 3.06/3.48 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 end.
% 3.06/3.48
% 3.06/3.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.06/3.48
% 3.06/3.48 Memory use:
% 3.06/3.48
% 3.06/3.48 space for terms: 35637
% 3.06/3.48 space for clauses: 127240
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 clauses generated: 316654
% 3.06/3.48 clauses kept: 2297
% 3.06/3.48 clauses selected: 1151
% 3.06/3.48 clauses deleted: 649
% 3.06/3.48 clauses inuse deleted: 408
% 3.06/3.48
% 3.06/3.48 subsentry: 78607
% 3.06/3.48 literals s-matched: 55239
% 3.06/3.48 literals matched: 53785
% 3.06/3.48 full subsumption: 5176
% 3.06/3.48
% 3.06/3.48 checksum: 1786607644
% 3.06/3.48
% 3.06/3.48
% 3.06/3.48 Bliksem ended
%------------------------------------------------------------------------------