TSTP Solution File: SET860-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET860-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 22:52:56 EDT 2022
% Result : Unsatisfiable 72.36s 72.77s
% Output : Refutation 72.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET860-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jul 9 16:22:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 72.36/72.77 *** allocated 10000 integers for termspace/termends
% 72.36/72.77 *** allocated 10000 integers for clauses
% 72.36/72.77 *** allocated 10000 integers for justifications
% 72.36/72.77 Bliksem 1.12
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Automatic Strategy Selection
% 72.36/72.77
% 72.36/72.77 Clauses:
% 72.36/72.77 [
% 72.36/72.77 [ ~( 'c_lessequals'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 'tc_set'( 't_a' )
% 72.36/72.77 ) ) ],
% 72.36/72.77 [ ~( 'c_lessequals'( 'v_B', 'c_Union'( 'v_C', 't_a' ), 'tc_set'( 't_a' )
% 72.36/72.77 ) ) ],
% 72.36/72.77 [ 'c_lessequals'( 'v_B', X, 'tc_set'( 't_a' ) ), 'c_lessequals'( X,
% 72.36/72.77 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) ) ]
% 72.36/72.77 ,
% 72.36/72.77 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 72.36/72.77 Z ) ) ],
% 72.36/72.77 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 72.36/72.77 ,
% 72.36/72.77 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 72.36/72.77 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 72.36/72.77 ],
% 72.36/72.77 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 72.36/72.77 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 72.36/72.77 ,
% 72.36/72.77 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 72.36/72.77 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 72.36/72.77 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 72.36/72.77 T, Y, Z ), Z ) ],
% 72.36/72.77 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 72.36/72.77 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 72.36/72.77 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 72.36/72.77 X, Y, T ) ],
% 72.36/72.77 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 72.36/72.77 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 72.36/72.77 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 72.36/72.77 X, Y, Z ), Z ) ],
% 72.36/72.77 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 72.36/72.77 , 'c_Union'( T, Z ), Z ) ],
% 72.36/72.77 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 72.36/72.77 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 72.36/72.77 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 72.36/72.77 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 72.36/72.77 ) ],
% 72.36/72.77 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 72.36/72.77 'c_in'( X, T, Z ) ],
% 72.36/72.77 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 72.36/72.77 , 'tc_set'( Z ) ) ],
% 72.36/72.77 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 72.36/72.77 X, Y, 'tc_set'( Z ) ) ],
% 72.36/72.77 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 72.36/72.77 'tc_set'( Z ) ) ), =( Y, X ) ]
% 72.36/72.77 ] .
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 percentage equality = 0.040000, percentage horn = 0.791667
% 72.36/72.77 This is a problem with some equality
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Options Used:
% 72.36/72.77
% 72.36/72.77 useres = 1
% 72.36/72.77 useparamod = 1
% 72.36/72.77 useeqrefl = 1
% 72.36/72.77 useeqfact = 1
% 72.36/72.77 usefactor = 1
% 72.36/72.77 usesimpsplitting = 0
% 72.36/72.77 usesimpdemod = 5
% 72.36/72.77 usesimpres = 3
% 72.36/72.77
% 72.36/72.77 resimpinuse = 1000
% 72.36/72.77 resimpclauses = 20000
% 72.36/72.77 substype = eqrewr
% 72.36/72.77 backwardsubs = 1
% 72.36/72.77 selectoldest = 5
% 72.36/72.77
% 72.36/72.77 litorderings [0] = split
% 72.36/72.77 litorderings [1] = extend the termordering, first sorting on arguments
% 72.36/72.77
% 72.36/72.77 termordering = kbo
% 72.36/72.77
% 72.36/72.77 litapriori = 0
% 72.36/72.77 termapriori = 1
% 72.36/72.77 litaposteriori = 0
% 72.36/72.77 termaposteriori = 0
% 72.36/72.77 demodaposteriori = 0
% 72.36/72.77 ordereqreflfact = 0
% 72.36/72.77
% 72.36/72.77 litselect = negord
% 72.36/72.77
% 72.36/72.77 maxweight = 15
% 72.36/72.77 maxdepth = 30000
% 72.36/72.77 maxlength = 115
% 72.36/72.77 maxnrvars = 195
% 72.36/72.77 excuselevel = 1
% 72.36/72.77 increasemaxweight = 1
% 72.36/72.77
% 72.36/72.77 maxselected = 10000000
% 72.36/72.77 maxnrclauses = 10000000
% 72.36/72.77
% 72.36/72.77 showgenerated = 0
% 72.36/72.77 showkept = 0
% 72.36/72.77 showselected = 0
% 72.36/72.77 showdeleted = 0
% 72.36/72.77 showresimp = 1
% 72.36/72.77 showstatus = 2000
% 72.36/72.77
% 72.36/72.77 prologoutput = 1
% 72.36/72.77 nrgoals = 5000000
% 72.36/72.77 totalproof = 1
% 72.36/72.77
% 72.36/72.77 Symbols occurring in the translation:
% 72.36/72.77
% 72.36/72.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 72.36/72.77 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 72.36/72.77 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 72.36/72.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 72.36/72.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 72.36/72.77 'v_C' [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 72.36/72.77 't_a' [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 72.36/72.77 'c_Union' [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 72.36/72.77 'v_A' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 72.36/72.77 'tc_set' [43, 1] (w:1, o:30, a:1, s:1, b:0),
% 72.36/72.77 'c_lessequals' [44, 3] (w:1, o:58, a:1, s:1, b:0),
% 72.36/72.77 'v_B' [45, 0] (w:1, o:9, a:1, s:1, b:0),
% 72.36/72.77 'c_in' [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 72.36/72.77 'c_uminus' [51, 2] (w:1, o:57, a:1, s:1, b:0),
% 72.36/72.77 'c_inter' [53, 3] (w:1, o:61, a:1, s:1, b:0),
% 72.36/72.77 'c_UNIV' [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 72.36/72.77 'c_union' [56, 3] (w:1, o:62, a:1, s:1, b:0),
% 72.36/72.77 'c_Main_OUnionE__1' [58, 3] (w:1, o:63, a:1, s:1, b:0),
% 72.36/72.77 'c_emptyset' [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 72.36/72.77 'c_insert' [63, 3] (w:1, o:60, a:1, s:1, b:0),
% 72.36/72.77 'c_Main_OsubsetI__1' [64, 3] (w:1, o:64, a:1, s:1, b:0).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Starting Search:
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 8443
% 72.36/72.77 Kept: 2001
% 72.36/72.77 Inuse: 182
% 72.36/72.77 Deleted: 13
% 72.36/72.77 Deletedinuse: 2
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 28685
% 72.36/72.77 Kept: 4003
% 72.36/72.77 Inuse: 374
% 72.36/72.77 Deleted: 142
% 72.36/72.77 Deletedinuse: 69
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 75439
% 72.36/72.77 Kept: 6004
% 72.36/72.77 Inuse: 659
% 72.36/72.77 Deleted: 304
% 72.36/72.77 Deletedinuse: 101
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 143375
% 72.36/72.77 Kept: 8027
% 72.36/72.77 Inuse: 834
% 72.36/72.77 Deleted: 428
% 72.36/72.77 Deletedinuse: 142
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 217256
% 72.36/72.77 Kept: 10031
% 72.36/72.77 Inuse: 1098
% 72.36/72.77 Deleted: 502
% 72.36/72.77 Deletedinuse: 155
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 344224
% 72.36/72.77 Kept: 12053
% 72.36/72.77 Inuse: 1285
% 72.36/72.77 Deleted: 601
% 72.36/72.77 Deletedinuse: 174
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 853015
% 72.36/72.77 Kept: 14053
% 72.36/72.77 Inuse: 1521
% 72.36/72.77 Deleted: 633
% 72.36/72.77 Deletedinuse: 174
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 1971891
% 72.36/72.77 Kept: 16053
% 72.36/72.77 Inuse: 2173
% 72.36/72.77 Deleted: 765
% 72.36/72.77 Deletedinuse: 174
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 2640809
% 72.36/72.77 Kept: 18054
% 72.36/72.77 Inuse: 2625
% 72.36/72.77 Deleted: 868
% 72.36/72.77 Deletedinuse: 196
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying clauses:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 3782679
% 72.36/72.77 Kept: 20056
% 72.36/72.77 Inuse: 3228
% 72.36/72.77 Deleted: 4232
% 72.36/72.77 Deletedinuse: 340
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Intermediate Status:
% 72.36/72.77 Generated: 7326575
% 72.36/72.77 Kept: 22060
% 72.36/72.77 Inuse: 4676
% 72.36/72.77 Deleted: 4742
% 72.36/72.77 Deletedinuse: 718
% 72.36/72.77
% 72.36/72.77 Resimplifying inuse:
% 72.36/72.77 Done
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Bliksems!, er is een bewijs:
% 72.36/72.77 % SZS status Unsatisfiable
% 72.36/72.77 % SZS output start Refutation
% 72.36/72.77
% 72.36/72.77 clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 1, [ ~( 'c_lessequals'( 'v_B', 'c_Union'( 'v_C', 't_a' ), 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 2, [ 'c_lessequals'( 'v_B', X, 'tc_set'( 't_a' ) ), 'c_lessequals'(
% 72.36/72.77 X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) )
% 72.36/72.77 ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 13, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 14, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 15, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ),
% 72.36/72.77 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 20, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 72.36/72.77 ) ) ), 'c_in'( X, T, Z ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 21, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 22, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 709, [ ~( 'c_in'( X, 'v_B', 't_a' ) ), 'c_in'( X, Y, 't_a' ),
% 72.36/72.77 'c_lessequals'( Y, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( Y, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 790, [ 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ),
% 72.36/72.77 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ),
% 72.36/72.77 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X,
% 72.36/72.77 Y ), Y ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 820, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'v_A', 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 821, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C', 't_a'
% 72.36/72.77 ), 't_a' ), 'v_B', 't_a' ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 895, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'v_A', 't_a' ), 'v_A', 't_a' ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 896, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 1573, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' )
% 72.36/72.77 , 'v_A', 't_a' ), X, 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 5078, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), X, 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) )
% 72.36/72.77 ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 5088, [ 'c_in'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C', 't_a' ), 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 16258, [ 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 72.36/72.77 X, 'v_C', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 21014, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 72.36/72.77 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 .
% 72.36/72.77 clause( 23396, [] )
% 72.36/72.77 .
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 % SZS output end Refutation
% 72.36/72.77 found a proof!
% 72.36/72.77
% 72.36/72.77 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 72.36/72.77
% 72.36/72.77 initialclauses(
% 72.36/72.77 [ clause( 23398, [ ~( 'c_lessequals'( 'c_Union'( 'v_C', 't_a' ), 'v_A',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23399, [ ~( 'c_lessequals'( 'v_B', 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23400, [ 'c_lessequals'( 'v_B', X, 'tc_set'( 't_a' ) ),
% 72.36/72.77 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23401, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 72.36/72.77 'tc_set'( Z ) ), Z ) ) ] )
% 72.36/72.77 , clause( 23402, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 72.36/72.77 ) ), Z ) ] )
% 72.36/72.77 , clause( 23403, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ),
% 72.36/72.77 'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X,
% 72.36/72.77 'tc_set'( Y ) ) ] )
% 72.36/72.77 , clause( 23404, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 72.36/72.77 'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'(
% 72.36/72.77 Z ) ), 'tc_set'( Z ) ) ] )
% 72.36/72.77 , clause( 23405, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 72.36/72.77 , T ) ] )
% 72.36/72.77 , clause( 23406, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 72.36/72.77 , T ) ] )
% 72.36/72.77 , clause( 23407, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'(
% 72.36/72.77 X, 'c_inter'( T, Y, Z ), Z ) ] )
% 72.36/72.77 , clause( 23408, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 72.36/72.77 , clause( 23409, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 72.36/72.77 , Z ) ] )
% 72.36/72.77 , clause( 23410, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 72.36/72.77 , T ), 'c_in'( X, Y, T ) ] )
% 72.36/72.77 , clause( 23411, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , clause( 23412, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 72.36/72.77 , clause( 23413, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 72.36/72.77 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 72.36/72.77 , clause( 23414, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 72.36/72.77 , clause( 23415, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 72.36/72.77 , Z ) ] )
% 72.36/72.77 , clause( 23416, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 72.36/72.77 , clause( 23417, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 72.36/72.77 , T ), =( X, Y ) ] )
% 72.36/72.77 , clause( 23418, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T,
% 72.36/72.77 'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 72.36/72.77 , clause( 23419, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , clause( 23420, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , clause( 23421, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 72.36/72.77 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 72.36/72.77 ] ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23398, [ ~( 'c_lessequals'( 'c_Union'( 'v_C', 't_a' ), 'v_A',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 1, [ ~( 'c_lessequals'( 'v_B', 'c_Union'( 'v_C', 't_a' ), 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23399, [ ~( 'c_lessequals'( 'v_B', 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 2, [ 'c_lessequals'( 'v_B', X, 'tc_set'( 't_a' ) ), 'c_lessequals'(
% 72.36/72.77 X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) )
% 72.36/72.77 ] )
% 72.36/72.77 , clause( 23400, [ 'c_lessequals'( 'v_B', X, 'tc_set'( 't_a' ) ),
% 72.36/72.77 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 72.36/72.77 1 ), ==>( 2, 2 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 13, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , clause( 23411, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 72.36/72.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 14, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 72.36/72.77 , clause( 23412, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 72.36/72.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 15, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ),
% 72.36/72.77 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 72.36/72.77 , clause( 23413, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 72.36/72.77 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 72.36/72.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 20, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 72.36/72.77 ) ) ), 'c_in'( X, T, Z ) ] )
% 72.36/72.77 , clause( 23418, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T,
% 72.36/72.77 'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 72.36/72.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 21, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , clause( 23419, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 72.36/72.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 22, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , clause( 23420, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 72.36/72.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23437, [ ~( 'c_in'( X, 'v_B', 't_a' ) ), 'c_in'( X, Y, 't_a' ),
% 72.36/72.77 'c_lessequals'( Y, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( Y, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 20, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 72.36/72.77 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 72.36/72.77 , 1, clause( 2, [ 'c_lessequals'( 'v_B', X, 'tc_set'( 't_a' ) ),
% 72.36/72.77 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_B' ), :=( Z, 't_a' ), :=( T,
% 72.36/72.77 Y )] ), substitution( 1, [ :=( X, Y )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 709, [ ~( 'c_in'( X, 'v_B', 't_a' ) ), 'c_in'( X, Y, 't_a' ),
% 72.36/72.77 'c_lessequals'( Y, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( Y, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23437, [ ~( 'c_in'( X, 'v_B', 't_a' ) ), 'c_in'( X, Y, 't_a' ),
% 72.36/72.77 'c_lessequals'( Y, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( Y, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 72.36/72.77 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23439, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ),
% 72.36/72.77 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X,
% 72.36/72.77 Y ), Y ), 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ] )
% 72.36/72.77 , clause( 14, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 72.36/72.77 , 0, clause( 21, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z,
% 72.36/72.77 Y ) ), :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X, 'c_Union'( X
% 72.36/72.77 , Y ) ), :=( Y, Z ), :=( Z, Y )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 790, [ 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ),
% 72.36/72.77 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ),
% 72.36/72.77 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X,
% 72.36/72.77 Y ), Y ) ] )
% 72.36/72.77 , clause( 23439, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y )
% 72.36/72.77 , 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X
% 72.36/72.77 , Y ), Y ), 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 72.36/72.77 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23440, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'v_A', 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ] )
% 72.36/72.77 , clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_C', 't_a' ), 'v_A',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 21, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ) ), :=( Y, 'v_A' ), :=( Z, 't_a' )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 820, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'v_A', 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ] )
% 72.36/72.77 , clause( 23440, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' )
% 72.36/72.77 , 'v_A', 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23441, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), 'v_B', 't_a' ) ] )
% 72.36/72.77 , clause( 1, [ ~( 'c_lessequals'( 'v_B', 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 21, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_B' ), :=( Y,
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ) ), :=( Z, 't_a' )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 821, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C', 't_a'
% 72.36/72.77 ), 't_a' ), 'v_B', 't_a' ) ] )
% 72.36/72.77 , clause( 23441, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), 'v_B', 't_a' ) ] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23442, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' )
% 72.36/72.77 , 'v_A', 't_a' ), 'v_A', 't_a' ) ) ] )
% 72.36/72.77 , clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_C', 't_a' ), 'v_A',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 22, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ) ), :=( Y, 'v_A' ), :=( Z, 't_a' )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 895, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'v_A', 't_a' ), 'v_A', 't_a' ) ) ] )
% 72.36/72.77 , clause( 23442, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a'
% 72.36/72.77 ), 'v_A', 't_a' ), 'v_A', 't_a' ) ) ] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23443, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ) ] )
% 72.36/72.77 , clause( 1, [ ~( 'c_lessequals'( 'v_B', 'c_Union'( 'v_C', 't_a' ),
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 22, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 72.36/72.77 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_B' ), :=( Y,
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ) ), :=( Z, 't_a' )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 896, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ) ] )
% 72.36/72.77 , clause( 23443, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C'
% 72.36/72.77 , 't_a' ), 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ) ] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23444, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' )
% 72.36/72.77 , 'v_A', 't_a' ), X, 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 895, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' )
% 72.36/72.77 , 'v_A', 't_a' ), 'v_A', 't_a' ) ) ] )
% 72.36/72.77 , 0, clause( 20, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T,
% 72.36/72.77 'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 72.36/72.77 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ) ), :=( Y, X ), :=( Z, 't_a' ),
% 72.36/72.77 :=( T, 'v_A' )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 1573, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' )
% 72.36/72.77 , 'v_A', 't_a' ), X, 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23444, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a'
% 72.36/72.77 ), 'v_A', 't_a' ), X, 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 72.36/72.77 1 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23445, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), X, 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) )
% 72.36/72.77 ) ] )
% 72.36/72.77 , clause( 896, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ) ] )
% 72.36/72.77 , 0, clause( 15, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 72.36/72.77 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 72.36/72.77 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'(
% 72.36/72.77 'v_B', 'c_Union'( 'v_C', 't_a' ), 't_a' ) ), :=( Y, X ), :=( Z, 't_a' ),
% 72.36/72.77 :=( T, 'v_C' )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 5078, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), X, 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) )
% 72.36/72.77 ) ] )
% 72.36/72.77 , clause( 23445, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C'
% 72.36/72.77 , 't_a' ), 't_a' ), X, 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' )
% 72.36/72.77 ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 72.36/72.77 1 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23446, [ 'c_in'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C', 't_a' ), 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 , clause( 13, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 72.36/72.77 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 72.36/72.77 , 0, clause( 820, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' )
% 72.36/72.77 , 'v_A', 't_a' ), 'c_Union'( 'v_C', 't_a' ), 't_a' ) ] )
% 72.36/72.77 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 't_a' ) ), :=( Y, 'v_C' ), :=( Z, 't_a' )] ),
% 72.36/72.77 substitution( 1, [] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 5088, [ 'c_in'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C', 't_a' ), 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 , clause( 23446, [ 'c_in'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C', 't_a' ), 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23447, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), X, 't_a' ), 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' )
% 72.36/72.77 ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 709, [ ~( 'c_in'( X, 'v_B', 't_a' ) ), 'c_in'( X, Y, 't_a' ),
% 72.36/72.77 'c_lessequals'( Y, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( Y, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 821, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 't_a' ), 'v_B', 't_a' ) ] )
% 72.36/72.77 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'(
% 72.36/72.77 'v_C', 't_a' ), 't_a' ) ), :=( Y, X )] ), substitution( 1, [] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23448, [ ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 72.36/72.77 X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) )
% 72.36/72.77 ] )
% 72.36/72.77 , clause( 5078, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C'
% 72.36/72.77 , 't_a' ), 't_a' ), X, 't_a' ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' )
% 72.36/72.77 ) ) ] )
% 72.36/72.77 , 0, clause( 23447, [ 'c_in'( 'c_Main_OsubsetI__1'( 'v_B', 'c_Union'( 'v_C'
% 72.36/72.77 , 't_a' ), 't_a' ), X, 't_a' ), 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a'
% 72.36/72.77 ) ), ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 72.36/72.77 ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 factor(
% 72.36/72.77 clause( 23449, [ ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 72.36/72.77 X, 'v_A', 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 , clause( 23448, [ ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) ),
% 72.36/72.77 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'( X, 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 16258, [ 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), ~( 'c_in'(
% 72.36/72.77 X, 'v_C', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23449, [ ~( 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) ),
% 72.36/72.77 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 72.36/72.77 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23450, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 72.36/72.77 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 , clause( 1573, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a'
% 72.36/72.77 ), 'v_A', 't_a' ), X, 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 72.36/72.77 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 790, [ 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ),
% 72.36/72.77 'c_in'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ),
% 72.36/72.77 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X,
% 72.36/72.77 Y ), Y ) ] )
% 72.36/72.77 , 1, substitution( 0, [ :=( X, 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C', 't_a' ) )] ),
% 72.36/72.77 substitution( 1, [ :=( X, 'v_C' ), :=( Y, 't_a' ), :=( Z, 'v_A' )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23452, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 72.36/72.77 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_C', 't_a' ), 'v_A',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 23450, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 72.36/72.77 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Union'( 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 21014, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 72.36/72.77 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 23452, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 72.36/72.77 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23453, [ ~( 'c_in'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C', 't_a' ), 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , clause( 21014, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 72.36/72.77 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C',
% 72.36/72.77 't_a' ), 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 16258, [ 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ), ~(
% 72.36/72.77 'c_in'( X, 'v_C', 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Main_OUnionE__1'(
% 72.36/72.77 'c_Main_OsubsetI__1'( 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C',
% 72.36/72.77 't_a' ) )] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 resolution(
% 72.36/72.77 clause( 23454, [] )
% 72.36/72.77 , clause( 23453, [ ~( 'c_in'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C', 't_a' ), 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ) ] )
% 72.36/72.77 , 0, clause( 5088, [ 'c_in'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 72.36/72.77 'c_Union'( 'v_C', 't_a' ), 'v_A', 't_a' ), 'v_C', 't_a' ), 'v_C',
% 72.36/72.77 'tc_set'( 't_a' ) ) ] )
% 72.36/72.77 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 subsumption(
% 72.36/72.77 clause( 23396, [] )
% 72.36/72.77 , clause( 23454, [] )
% 72.36/72.77 , substitution( 0, [] ), permutation( 0, [] ) ).
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 end.
% 72.36/72.77
% 72.36/72.77 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 72.36/72.77
% 72.36/72.77 Memory use:
% 72.36/72.77
% 72.36/72.77 space for terms: 360099
% 72.36/72.77 space for clauses: 1635973
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 clauses generated: 10230668
% 72.36/72.77 clauses kept: 23397
% 72.36/72.77 clauses selected: 5816
% 72.36/72.77 clauses deleted: 4814
% 72.36/72.77 clauses inuse deleted: 725
% 72.36/72.77
% 72.36/72.77 subsentry: 2787680
% 72.36/72.77 literals s-matched: 1758650
% 72.36/72.77 literals matched: 1721860
% 72.36/72.77 full subsumption: 100858
% 72.36/72.77
% 72.36/72.77 checksum: -123569201
% 72.36/72.77
% 72.36/72.77
% 72.36/72.77 Bliksem ended
%------------------------------------------------------------------------------