%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET837-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 22:52:33 EDT 2022
% Result : Unsatisfiable 3.06s 3.43s
% Output : Refutation 3.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET837-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % DateTime : Sat Jul 9 16:50:53 EDT 2022
% 0.19/0.34 % CPUTime :
% 3.06/3.43 *** allocated 10000 integers for termspace/termends
% 3.06/3.43 *** allocated 10000 integers for clauses
% 3.06/3.43 *** allocated 10000 integers for justifications
% 3.06/3.43 Bliksem 1.12
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 Automatic Strategy Selection
% 3.06/3.43
% 3.06/3.43 Clauses:
% 3.06/3.43 [
% 3.06/3.43 [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), 'c_lessequals'( 'v_Y',
% 3.06/3.43 'v_X', 'tc_set'( 't_a' ) ) ],
% 3.06/3.43 [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), 'c_lessequals'( 'v_Z',
% 3.06/3.43 'v_X', 'tc_set'( 't_a' ) ) ],
% 3.06/3.43 [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) )
% 3.06/3.43 ],
% 3.06/3.43 [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) )
% 3.06/3.43 ],
% 3.06/3.43 [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z'
% 3.06/3.43 , 't_a' ) ) ) ],
% 3.06/3.43 [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), 'c_lessequals'( 'v_X', X
% 3.06/3.43 , 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z', X, 'tc_set'( 't_a' ) ) )
% 3.06/3.43 , ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' ) ) ) ],
% 3.06/3.43 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 3.06/3.43 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 3.06/3.43 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 3.06/3.43 X, Y, T ) ],
% 3.06/3.43 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 3.06/3.43 'c_in'( X, T, Z ) ],
% 3.06/3.43 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 3.06/3.43 , 'tc_set'( Z ) ) ],
% 3.06/3.43 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 3.06/3.43 X, Y, 'tc_set'( Z ) ) ],
% 3.06/3.43 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 3.06/3.43 'tc_set'( Z ) ) ), =( Y, X ) ]
% 3.06/3.43 ] .
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 percentage equality = 0.189189, percentage horn = 0.615385
% 3.06/3.43 This is a problem with some equality
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 Options Used:
% 3.06/3.43
% 3.06/3.43 useres = 1
% 3.06/3.43 useparamod = 1
% 3.06/3.43 useeqrefl = 1
% 3.06/3.43 useeqfact = 1
% 3.06/3.43 usefactor = 1
% 3.06/3.43 usesimpsplitting = 0
% 3.06/3.43 usesimpdemod = 5
% 3.06/3.43 usesimpres = 3
% 3.06/3.43
% 3.06/3.43 resimpinuse = 1000
% 3.06/3.43 resimpclauses = 20000
% 3.06/3.43 substype = eqrewr
% 3.06/3.43 backwardsubs = 1
% 3.06/3.43 selectoldest = 5
% 3.06/3.43
% 3.06/3.43 litorderings [0] = split
% 3.06/3.43 litorderings [1] = extend the termordering, first sorting on arguments
% 3.06/3.43
% 3.06/3.43 termordering = kbo
% 3.06/3.43
% 3.06/3.43 litapriori = 0
% 3.06/3.43 termapriori = 1
% 3.06/3.43 litaposteriori = 0
% 3.06/3.43 termaposteriori = 0
% 3.06/3.43 demodaposteriori = 0
% 3.06/3.43 ordereqreflfact = 0
% 3.06/3.43
% 3.06/3.43 litselect = negord
% 3.06/3.43
% 3.06/3.43 maxweight = 15
% 3.06/3.43 maxdepth = 30000
% 3.06/3.43 maxlength = 115
% 3.06/3.43 maxnrvars = 195
% 3.06/3.43 excuselevel = 1
% 3.06/3.43 increasemaxweight = 1
% 3.06/3.43
% 3.06/3.43 maxselected = 10000000
% 3.06/3.43 maxnrclauses = 10000000
% 3.06/3.43
% 3.06/3.43 showgenerated = 0
% 3.06/3.43 showkept = 0
% 3.06/3.43 showselected = 0
% 3.06/3.43 showdeleted = 0
% 3.06/3.43 showresimp = 1
% 3.06/3.43 showstatus = 2000
% 3.06/3.43
% 3.06/3.43 prologoutput = 1
% 3.06/3.43 nrgoals = 5000000
% 3.06/3.43 totalproof = 1
% 3.06/3.43
% 3.06/3.43 Symbols occurring in the translation:
% 3.06/3.43
% 3.06/3.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.06/3.43 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 3.06/3.43 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 3.06/3.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.06/3.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.06/3.43 'v_X' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.06/3.43 'v_Y' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 3.06/3.43 'v_Z' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.06/3.43 't_a' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.06/3.43 'c_union' [43, 3] (w:1, o:50, a:1, s:1, b:0),
% 3.06/3.43 'tc_set' [44, 1] (w:1, o:24, a:1, s:1, b:0),
% 3.06/3.43 'c_lessequals' [45, 3] (w:1, o:51, a:1, s:1, b:0),
% 3.06/3.43 'v_x' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.06/3.43 'c_in' [51, 3] (w:1, o:52, a:1, s:1, b:0),
% 3.06/3.43 'c_Main_OsubsetI__1' [53, 3] (w:1, o:53, a:1, s:1, b:0).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 Starting Search:
% 3.06/3.43
% 3.06/3.43 Resimplifying inuse:
% 3.06/3.43 Done
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 Intermediate Status:
% 3.06/3.43 Generated: 309195
% 3.06/3.43 Kept: 2006
% 3.06/3.43 Inuse: 1088
% 3.06/3.43 Deleted: 414
% 3.06/3.43 Deletedinuse: 142
% 3.06/3.43
% 3.06/3.43 Resimplifying inuse:
% 3.06/3.43 Done
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 Bliksems!, er is een bewijs:
% 3.06/3.43 % SZS status Unsatisfiable
% 3.06/3.43 % SZS output start Refutation
% 3.06/3.43
% 3.06/3.43 clause( 0, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 1, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 2, [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 3, [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 4, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 5, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z', X, 'tc_set'(
% 3.06/3.43 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 6, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 3.06/3.43 )
% 3.06/3.43 .
% 3.06/3.43 clause( 7, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ]
% 3.06/3.43 )
% 3.06/3.43 .
% 3.06/3.43 clause( 8, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ),
% 3.06/3.43 'c_in'( X, Y, T ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 3.06/3.43 ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 13, [ ~( 'c_in'( X, 'c_union'( Y, Y, Z ), Z ) ), 'c_in'( X, Y, Z )
% 3.06/3.43 ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 26, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( Y, Y, Z ), Z ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 28, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 32, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( T, X, Z ), Z ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 52, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( X, Y ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( Y, X, Z ), Y, Z ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 137, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 3.06/3.43 )
% 3.06/3.43 .
% 3.06/3.43 clause( 144, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 145, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' ) ]
% 3.06/3.43 )
% 3.06/3.43 .
% 3.06/3.43 clause( 153, [ 'c_in'( X, 'v_X', 't_a' ), ~( 'c_in'( X, 'c_union'( Y, 'v_Z'
% 3.06/3.43 , 't_a' ), 't_a' ) ), 'c_in'( X, Y, 't_a' ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 181, [ 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y ) ) ]
% 3.06/3.43 )
% 3.06/3.43 .
% 3.06/3.43 clause( 182, [ =( 'c_union'( X, X, Y ), X ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 193, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ]
% 3.06/3.43 )
% 3.06/3.43 .
% 3.06/3.43 clause( 198, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 199, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.43 =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 200, [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 201, [ ~( 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' ) ]
% 3.06/3.43 )
% 3.06/3.43 .
% 3.06/3.43 clause( 202, [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 215, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'v_Y',
% 3.06/3.43 't_a' ) ), 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 235, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 238, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 244, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 248, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 513, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 516, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 816, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ),
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 't_a' ) ), 'c_lessequals'( X, 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 1546, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ]
% 3.06/3.43 )
% 3.06/3.43 .
% 3.06/3.43 clause( 1572, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 1585, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 1595, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 1597, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 1606, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X'
% 3.06/3.43 , 't_a' ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 1618, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ),
% 3.06/3.43 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 2339, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y'
% 3.06/3.43 , 't_a' ) ] )
% 3.06/3.43 .
% 3.06/3.43 clause( 2375, [] )
% 3.06/3.43 .
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 % SZS output end Refutation
% 3.06/3.43 found a proof!
% 3.06/3.43
% 3.06/3.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.06/3.43
% 3.06/3.43 initialclauses(
% 3.06/3.43 [ clause( 2377, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2378, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2379, [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z'
% 3.06/3.43 , 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2380, [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z'
% 3.06/3.43 , 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2381, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ),
% 3.06/3.43 ~( 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z'
% 3.06/3.43 , 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2382, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z',
% 3.06/3.43 X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' )
% 3.06/3.43 ) ) ] )
% 3.06/3.43 , clause( 2383, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ),
% 3.06/3.43 Z ) ] )
% 3.06/3.43 , clause( 2384, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 3.06/3.43 Z ) ] )
% 3.06/3.43 , clause( 2385, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 3.06/3.43 T ), 'c_in'( X, Y, T ) ] )
% 3.06/3.43 , clause( 2386, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 3.06/3.43 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.43 , clause( 2387, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , clause( 2388, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , clause( 2389, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.43 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.43 ] ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2390, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2377, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 0, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2390, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2392, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2378, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 1, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2392, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2395, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2379, [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z'
% 3.06/3.43 , 't_a' ) ) ) ] )
% 3.06/3.43 , 3, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 2, [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 , clause( 2395, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 3.06/3.43 , 1 ), ==>( 3, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2399, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2380, [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z'
% 3.06/3.43 , 't_a' ) ) ) ] )
% 3.06/3.43 , 3, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 3, [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 , clause( 2399, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 3.06/3.43 , 1 ), ==>( 3, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2404, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2381, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ),
% 3.06/3.43 ~( 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z'
% 3.06/3.43 , 't_a' ) ) ) ] )
% 3.06/3.43 , 3, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 4, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 , clause( 2404, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 3.06/3.43 , 1 ), ==>( 3, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2410, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z',
% 3.06/3.43 X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' )
% 3.06/3.43 ) ) ] )
% 3.06/3.43 , clause( 2382, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z',
% 3.06/3.43 X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' )
% 3.06/3.43 ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 5, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z', X, 'tc_set'(
% 3.06/3.43 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2410, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z',
% 3.06/3.43 X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' )
% 3.06/3.43 ) ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.43 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 6, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2383, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ),
% 3.06/3.43 Z ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 7, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2384, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 3.06/3.43 Z ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 8, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ),
% 3.06/3.43 'c_in'( X, Y, T ) ] )
% 3.06/3.43 , clause( 2385, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 3.06/3.43 T ), 'c_in'( X, Y, T ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 3.06/3.43 ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.43 , clause( 2386, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 3.06/3.43 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , clause( 2387, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , clause( 2388, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.43 , clause( 2389, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.43 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2459, [ ~( 'c_in'( X, 'c_union'( Y, Y, Z ), Z ) ), 'c_in'( X, Y, Z
% 3.06/3.43 ) ] )
% 3.06/3.43 , clause( 8, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 3.06/3.43 , 'c_in'( X, Y, T ) ] )
% 3.06/3.43 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 13, [ ~( 'c_in'( X, 'c_union'( Y, Y, Z ), Z ) ), 'c_in'( X, Y, Z )
% 3.06/3.43 ] )
% 3.06/3.43 , clause( 2459, [ ~( 'c_in'( X, 'c_union'( Y, Y, Z ), Z ) ), 'c_in'( X, Y,
% 3.06/3.43 Z ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2460, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( Y, Y, Z ), Z ) ) ] )
% 3.06/3.43 , clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, clause( 13, [ ~( 'c_in'( X, 'c_union'( Y, Y, Z ), Z ) ), 'c_in'( X, Y
% 3.06/3.43 , Z ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, Y ),
% 3.06/3.43 :=( Z, Z )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 26, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( Y, Y, Z ), Z ) ) ] )
% 3.06/3.43 , clause( 2460, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( Y, Y, Z ), Z ) ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2461, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 3.06/3.43 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, clause( 7, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 3.06/3.43 Z ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_union'( Y, Z, T ) ), :=( Z, T
% 3.06/3.43 )] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z
% 3.06/3.43 , T ), T ) ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 28, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ] )
% 3.06/3.43 , clause( 2461, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) )
% 3.06/3.43 , ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) )
% 3.06/3.43 ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2462, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( T, X, Z
% 3.06/3.43 ), Z ), 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , clause( 6, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z )
% 3.06/3.43 ] )
% 3.06/3.43 , 0, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, X
% 3.06/3.43 ), :=( Z, Z ), :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 3.06/3.43 , :=( Z, Z )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 32, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( T, X, Z ), Z ) ] )
% 3.06/3.43 , clause( 2462, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( T, X
% 3.06/3.43 , Z ), Z ), 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2463, [ ~( 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ),
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 3.06/3.43 , clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.43 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.43 , 0, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 52, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( X, Y ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( Y, X, Z ), Y, Z ) ] )
% 3.06/3.43 , clause( 2463, [ ~( 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ),
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2465, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ),
% 3.06/3.43 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ] )
% 3.06/3.43 , clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, clause( 32, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( T, X, Z ), Z ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_union'( Y, X, Z ) ), :=( Z, Z
% 3.06/3.43 )] ), substitution( 1, [ :=( X, X ), :=( Y, 'c_union'( Y, X, Z ) ), :=(
% 3.06/3.43 Z, Z ), :=( T, Y )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2466, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2465, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) )
% 3.06/3.43 , 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 137, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2466, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z ) )
% 3.06/3.43 ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 paramod(
% 3.06/3.43 clause( 2468, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 1, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, clause( 137, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z )
% 3.06/3.43 ) ] )
% 3.06/3.43 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Z' ), :=( Y,
% 3.06/3.43 'v_Y' ), :=( Z, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2469, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2468, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 144, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2469, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2470, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 3.06/3.43 ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.43 , 1, clause( 144, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_Z' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.43 'v_X' )] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 145, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2470, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' )
% 3.06/3.43 ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.43 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2471, [ 'c_in'( X, 'v_X', 't_a' ), ~( 'c_in'( X, 'c_union'( Y,
% 3.06/3.43 'v_Z', 't_a' ), 't_a' ) ), 'c_in'( X, Y, 't_a' ) ] )
% 3.06/3.43 , clause( 145, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' )
% 3.06/3.43 ] )
% 3.06/3.43 , 0, clause( 8, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 3.06/3.43 T ), 'c_in'( X, Y, T ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 3.06/3.43 , Y ), :=( Z, 'v_Z' ), :=( T, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 153, [ 'c_in'( X, 'v_X', 't_a' ), ~( 'c_in'( X, 'c_union'( Y, 'v_Z'
% 3.06/3.43 , 't_a' ), 't_a' ) ), 'c_in'( X, Y, 't_a' ) ] )
% 3.06/3.43 , clause( 2471, [ 'c_in'( X, 'v_X', 't_a' ), ~( 'c_in'( X, 'c_union'( Y,
% 3.06/3.43 'v_Z', 't_a' ), 't_a' ) ), 'c_in'( X, Y, 't_a' ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.06/3.43 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2475, [ 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y ) ),
% 3.06/3.43 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y ) ) ] )
% 3.06/3.43 , clause( 26, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( Y, Y, Z ), Z ) ) ] )
% 3.06/3.43 , 1, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, 'c_union'( X, X, Y ) ), :=( Y, X ), :=( Z, Y
% 3.06/3.43 )] ), substitution( 1, [ :=( X, 'c_union'( X, X, Y ) ), :=( Y, X ), :=(
% 3.06/3.43 Z, Y )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2476, [ 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2475, [ 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y ) )
% 3.06/3.43 , 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 181, [ 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2476, [ 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y ) )
% 3.06/3.43 ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.06/3.43 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2477, [ ~( 'c_lessequals'( X, 'c_union'( X, X, Y ), 'tc_set'( Y ) )
% 3.06/3.43 ), =( X, 'c_union'( X, X, Y ) ) ] )
% 3.06/3.43 , clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.43 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.43 , 0, clause( 181, [ 'c_lessequals'( 'c_union'( X, X, Y ), X, 'tc_set'( Y )
% 3.06/3.43 ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, 'c_union'( X, X, Y ) ), :=( Y, X ), :=( Z, Y
% 3.06/3.43 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2479, [ =( X, 'c_union'( X, X, Y ) ) ] )
% 3.06/3.43 , clause( 2477, [ ~( 'c_lessequals'( X, 'c_union'( X, X, Y ), 'tc_set'( Y )
% 3.06/3.43 ) ), =( X, 'c_union'( X, X, Y ) ) ] )
% 3.06/3.43 , 0, clause( 137, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z )
% 3.06/3.43 ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 3.06/3.43 , X ), :=( Y, X ), :=( Z, Y )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2480, [ =( 'c_union'( X, X, Y ), X ) ] )
% 3.06/3.43 , clause( 2479, [ =( X, 'c_union'( X, X, Y ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 182, [ =( 'c_union'( X, X, Y ), X ) ] )
% 3.06/3.43 , clause( 2480, [ =( 'c_union'( X, X, Y ), X ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.06/3.43 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2481, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ),
% 3.06/3.43 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ] )
% 3.06/3.43 , clause( 28, [ 'c_lessequals'( X, 'c_union'( Y, Z, T ), 'tc_set'( T ) ),
% 3.06/3.43 ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'c_union'( Y, Z, T ), T ), Y, T ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 1, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 3.06/3.43 substitution( 1, [ :=( X, X ), :=( Y, 'c_union'( X, Y, Z ) ), :=( Z, Z )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2482, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2481, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) )
% 3.06/3.43 , 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 193, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2482, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z ) )
% 3.06/3.43 ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.06/3.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 paramod(
% 3.06/3.43 clause( 2484, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 0, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, clause( 193, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z )
% 3.06/3.43 ) ] )
% 3.06/3.43 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Y' ), :=( Y,
% 3.06/3.43 'v_Z' ), :=( Z, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2485, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2484, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 198, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2485, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2486, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 4, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 , 3, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2487, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2486, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 3, clause( 198, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2488, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2487, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 2, clause( 144, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2489, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2488, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 199, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ), ~(
% 3.06/3.43 =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 , clause( 2489, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2490, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 3, [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 , 3, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2491, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2490, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 3, clause( 198, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2492, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2491, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 2, clause( 144, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2493, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2492, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 200, [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 , clause( 2493, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2494, [ ~( 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 3.06/3.43 ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.43 , 1, clause( 198, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_Y' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.43 'v_X' )] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 201, [ ~( 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2494, [ ~( 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_X', 't_a' )
% 3.06/3.43 ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.43 1 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2495, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2, [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ), ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'v_X' ) ) ] )
% 3.06/3.43 , 3, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2496, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2495, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 3, clause( 198, [ 'c_lessequals'( 'v_Y', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2497, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2496, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( 'c_lessequals'(
% 3.06/3.43 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 2, clause( 144, [ 'c_lessequals'( 'v_Z', 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2498, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2497, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 202, [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 , clause( 2498, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2499, [ 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, clause( 201, [ ~( 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_X', 't_a'
% 3.06/3.43 ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_X' ), :=( Z, 't_a' )] ),
% 3.06/3.43 substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ) )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 215, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'v_Y',
% 3.06/3.43 't_a' ) ), 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2499, [ 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 3.06/3.43 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2500, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 199, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ),
% 3.06/3.43 ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2502, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'c_union'( 'v_x',
% 3.06/3.43 'v_x', 't_a' ), 't_a' ) ) ] )
% 3.06/3.43 , clause( 2500, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 1, clause( 26, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_union'( Y, Y, Z ), Z ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, 'v_x'
% 3.06/3.43 ), :=( Z, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 paramod(
% 3.06/3.43 clause( 2503, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_x', 't_a' ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 182, [ =( 'c_union'( X, X, Y ), X ) ] )
% 3.06/3.43 , 0, clause( 2502, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'c_union'( 'v_x',
% 3.06/3.43 'v_x', 't_a' ), 't_a' ) ) ] )
% 3.06/3.43 , 1, 6, substitution( 0, [ :=( X, 'v_x' ), :=( Y, 't_a' )] ),
% 3.06/3.43 substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2504, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2503, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_x', 't_a' ) ), ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 235, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2504, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2505, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 199, [ ~( 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ),
% 3.06/3.43 ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2506, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 , clause( 2505, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'v_x', 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 1, clause( 10, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, 'v_x'
% 3.06/3.43 ), :=( Z, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2507, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 , clause( 2506, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 238, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 , clause( 2507, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2508, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 200, [ 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2509, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ),
% 3.06/3.43 ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 3.06/3.43 ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.43 , 1, clause( 2508, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Z', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_Z' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.43 'v_x' )] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2510, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , clause( 2509, [ ~( 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' )
% 3.06/3.43 , ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.43 , 2, substitution( 0, [ :=( X, X )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 244, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , clause( 2510, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.43 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2511, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 202, [ 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ), ~( =(
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2512, [ ~( 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ),
% 3.06/3.43 ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 9, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 3.06/3.43 ) ) ), 'c_in'( X, T, Z ) ] )
% 3.06/3.43 , 1, clause( 2511, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ),
% 3.06/3.43 'c_lessequals'( 'v_Y', 'v_x', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_Y' ), :=( Z, 't_a' ), :=( T,
% 3.06/3.43 'v_x' )] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2513, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , clause( 2512, [ ~( 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' )
% 3.06/3.43 , ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ) ] )
% 3.06/3.43 , 2, substitution( 0, [ :=( X, X )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 248, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , clause( 2513, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.43 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2514, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , clause( 248, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2515, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 235, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2516, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~( =(
% 3.06/3.43 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2515, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 1, clause( 2514, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Y', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'(
% 3.06/3.43 'v_X', 'v_x', 't_a' ) )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2517, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2516, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~( =(
% 3.06/3.43 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2518, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2517, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 513, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2518, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2519, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , clause( 244, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2520, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 235, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2521, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~( =(
% 3.06/3.43 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2520, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_x', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 1, clause( 2519, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( X, 'v_Z', 't_a' ) ), 'c_in'( X, 'v_x', 't_a' ) ] )
% 3.06/3.43 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'(
% 3.06/3.43 'v_X', 'v_x', 't_a' ) )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2522, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2521, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~( =(
% 3.06/3.43 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2523, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2522, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 516, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2523, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2524, [ 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'v_X', 't_a' ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 't_a' ) ) ] )
% 3.06/3.43 , clause( 215, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'v_Y'
% 3.06/3.43 , 't_a' ) ), 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, clause( 153, [ 'c_in'( X, 'v_X', 't_a' ), ~( 'c_in'( X, 'c_union'( Y,
% 3.06/3.43 'v_Z', 't_a' ), 't_a' ) ), 'c_in'( X, Y, 't_a' ) ] )
% 3.06/3.43 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ) ), :=( Y, 'v_Y' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2525, [ 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ),
% 3.06/3.43 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 't_a' ) ) ] )
% 3.06/3.43 , clause( 11, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.06/3.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.06/3.43 , 0, clause( 2524, [ 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'v_X', 't_a' ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 't_a' ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_X' ), :=( Z, 't_a' )] ),
% 3.06/3.43 substitution( 1, [ :=( X, X )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2526, [ 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 't_a' ) ) ] )
% 3.06/3.43 , clause( 2525, [ 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ),
% 3.06/3.43 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 't_a' ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 816, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ),
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 't_a' ) ), 'c_lessequals'( X, 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , clause( 2526, [ 'c_lessequals'( X, 'v_X', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ), 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 3.06/3.43 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2527, [ =( Y, X ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( Y, X, Z ), Y, Z ) ] )
% 3.06/3.43 , clause( 52, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( X, Y ),
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( Y, X, Z ), Y, Z ) ] )
% 3.06/3.43 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2528, [ 'c_lessequals'( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , clause( 816, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_X', 't_a' ),
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 't_a' ) ), 'c_lessequals'( X, 'v_X',
% 3.06/3.43 'tc_set'( 't_a' ) ) ] )
% 3.06/3.43 , 0, clause( 2527, [ =( Y, X ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) )
% 3.06/3.43 , 'c_in'( 'c_Main_OsubsetI__1'( Y, X, Z ), Y, Z ) ] )
% 3.06/3.43 , 2, substitution( 0, [ :=( X, 'c_union'( 'v_Y', 'v_Z', 't_a' ) )] ),
% 3.06/3.43 substitution( 1, [ :=( X, 'v_X' ), :=( Y, 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ) ), :=( Z, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2530, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~( 'c_lessequals'( 'v_X',
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 12, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.06/3.43 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.06/3.43 , 1, clause( 2528, [ 'c_lessequals'( 'c_union'( 'v_Y', 'v_Z', 't_a' ),
% 3.06/3.43 'v_X', 'tc_set'( 't_a' ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' )
% 3.06/3.43 , ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'(
% 3.06/3.43 't_a' ) ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_union'( 'v_Y', 'v_Z',
% 3.06/3.43 't_a' ) ), :=( Z, 't_a' )] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2535, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , clause( 2530, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~( 'c_lessequals'( 'v_X',
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 0, 3, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2536, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2535, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ),
% 3.06/3.43 =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , 1, 2, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 1546, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' )
% 3.06/3.43 , 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 2536, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ]
% 3.06/3.43 )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2537, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , clause( 1546, [ ~( 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a'
% 3.06/3.43 ), 'tc_set'( 't_a' ) ) ), =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ]
% 3.06/3.43 )
% 3.06/3.43 , 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2538, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z',
% 3.06/3.43 X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' )
% 3.06/3.43 ) ) ] )
% 3.06/3.43 , clause( 5, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), 'c_lessequals'(
% 3.06/3.43 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z', X, 'tc_set'(
% 3.06/3.43 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2539, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), =( 'v_X',
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), ~( 'c_lessequals'( 'v_Z', 'c_union'(
% 3.06/3.43 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y',
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2537, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , 1, clause( 2538, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ),
% 3.06/3.43 'c_lessequals'( 'v_X', X, 'tc_set'( 't_a' ) ), ~( 'c_lessequals'( 'v_Z',
% 3.06/3.43 X, 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' )
% 3.06/3.43 ) ) ] )
% 3.06/3.43 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_union'( 'v_Y',
% 3.06/3.43 'v_Z', 't_a' ) )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 factor(
% 3.06/3.43 clause( 2540, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ), ~( 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ),
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , clause( 2539, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), =( 'v_X',
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), ~( 'c_lessequals'( 'v_Z', 'c_union'(
% 3.06/3.43 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( 'v_Y',
% 3.06/3.43 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 0, 1, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2543, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , clause( 2540, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Z', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ), ~( 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ),
% 3.06/3.43 'tc_set'( 't_a' ) ) ) ] )
% 3.06/3.43 , 1, clause( 137, [ 'c_lessequals'( X, 'c_union'( Y, X, Z ), 'tc_set'( Z )
% 3.06/3.43 ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Z' ), :=( Y, 'v_Y'
% 3.06/3.43 ), :=( Z, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2544, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , clause( 2543, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 1572, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , clause( 2544, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.06/3.43 ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2546, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , clause( 1572, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ), ~(
% 3.06/3.43 'c_lessequals'( 'v_Y', 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'tc_set'( 't_a'
% 3.06/3.43 ) ) ) ] )
% 3.06/3.43 , 1, clause( 193, [ 'c_lessequals'( X, 'c_union'( X, Y, Z ), 'tc_set'( Z )
% 3.06/3.43 ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Y' ), :=( Y, 'v_Z'
% 3.06/3.43 ), :=( Z, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 1585, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , clause( 2546, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2548, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , clause( 1585, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2549, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 516, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2550, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2549, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 0, clause( 2548, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 1595, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2550, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2551, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , clause( 1585, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2552, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , clause( 513, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2553, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2552, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), ~(
% 3.06/3.43 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y', 't_a' ) ) ]
% 3.06/3.43 )
% 3.06/3.43 , 0, clause( 2551, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 1597, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , clause( 2553, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2554, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , clause( 1585, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 eqswap(
% 3.06/3.43 clause( 2555, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 , clause( 238, [ ~( =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 , 0, substitution( 0, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2556, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X'
% 3.06/3.43 , 't_a' ) ] )
% 3.06/3.43 , clause( 2555, [ ~( =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ), 'c_in'(
% 3.06/3.43 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X', 't_a' ) ] )
% 3.06/3.43 , 0, clause( 2554, [ =( 'v_X', 'c_union'( 'v_Y', 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 1606, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_X'
% 3.06/3.43 , 't_a' ) ] )
% 3.06/3.43 , clause( 2556, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_X', 't_a' ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 paramod(
% 3.06/3.43 clause( 2558, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ),
% 3.06/3.43 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.43 , clause( 1585, [ =( 'c_union'( 'v_Y', 'v_Z', 't_a' ), 'v_X' ) ] )
% 3.06/3.43 , 0, clause( 8, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 3.06/3.43 T ), 'c_in'( X, Y, T ) ] )
% 3.06/3.43 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 'v_Y'
% 3.06/3.43 ), :=( Z, 'v_Z' ), :=( T, 't_a' )] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 1618, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' ),
% 3.06/3.43 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.43 , clause( 2558, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' )
% 3.06/3.43 , 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.06/3.43 1 ), ==>( 2, 2 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2559, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Z'
% 3.06/3.43 , 't_a' ), 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y',
% 3.06/3.43 't_a' ) ] )
% 3.06/3.43 , clause( 1618, [ ~( 'c_in'( X, 'v_X', 't_a' ) ), 'c_in'( X, 'v_Z', 't_a' )
% 3.06/3.43 , 'c_in'( X, 'v_Y', 't_a' ) ] )
% 3.06/3.43 , 0, clause( 1606, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_X', 't_a' ) ] )
% 3.06/3.43 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' )
% 3.06/3.43 )] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2560, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y'
% 3.06/3.43 , 't_a' ) ] )
% 3.06/3.43 , clause( 1595, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Z', 't_a' ) ) ] )
% 3.06/3.43 , 0, clause( 2559, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Z', 't_a' ), 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Y', 't_a' ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 2339, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ), 'v_Y'
% 3.06/3.43 , 't_a' ) ] )
% 3.06/3.43 , clause( 2560, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Y', 't_a' ) ] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 resolution(
% 3.06/3.43 clause( 2561, [] )
% 3.06/3.43 , clause( 1597, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Y', 't_a' ) ) ] )
% 3.06/3.43 , 0, clause( 2339, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_X', 'v_x', 't_a' ),
% 3.06/3.43 'v_Y', 't_a' ) ] )
% 3.06/3.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 subsumption(
% 3.06/3.43 clause( 2375, [] )
% 3.06/3.43 , clause( 2561, [] )
% 3.06/3.43 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 end.
% 3.06/3.43
% 3.06/3.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.06/3.43
% 3.06/3.43 Memory use:
% 3.06/3.43
% 3.06/3.43 space for terms: 36667
% 3.06/3.43 space for clauses: 129572
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 clauses generated: 323511
% 3.06/3.43 clauses kept: 2376
% 3.06/3.43 clauses selected: 1169
% 3.06/3.43 clauses deleted: 723
% 3.06/3.43 clauses inuse deleted: 424
% 3.06/3.43
% 3.06/3.43 subsentry: 70422
% 3.06/3.43 literals s-matched: 52980
% 3.06/3.43 literals matched: 52021
% 3.06/3.43 full subsumption: 5209
% 3.06/3.43
% 3.06/3.43 checksum: -465984118
% 3.06/3.43
% 3.06/3.43
% 3.06/3.43 Bliksem ended
%------------------------------------------------------------------------------