TSTP Solution File: SET842-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 22:52:38 EDT 2022
% Result : Unsatisfiable 0.43s 1.09s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 10 05:22:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.09 *** allocated 10000 integers for termspace/termends
% 0.43/1.09 *** allocated 10000 integers for clauses
% 0.43/1.09 *** allocated 10000 integers for justifications
% 0.43/1.09 Bliksem 1.12
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Automatic Strategy Selection
% 0.43/1.09
% 0.43/1.09 Clauses:
% 0.43/1.09 [
% 0.43/1.09 [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m',
% 0.43/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 0.43/1.09 [ 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_in'(
% 0.43/1.09 X, 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 0.43/1.09 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.43/1.09 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.43/1.09 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 0.43/1.09 X, Y, Z ), Z ) ],
% 0.43/1.09 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 0.43/1.09 'c_in'( X, T, Z ) ],
% 0.43/1.09 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.43/1.09 , 'tc_set'( Z ) ) ],
% 0.43/1.09 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 0.43/1.09 X, Y, 'tc_set'( Z ) ) ]
% 0.43/1.09 ] .
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 percentage equality = 0.000000, percentage horn = 0.857143
% 0.43/1.09 This a non-horn, non-equality problem
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Options Used:
% 0.43/1.09
% 0.43/1.09 useres = 1
% 0.43/1.09 useparamod = 0
% 0.43/1.09 useeqrefl = 0
% 0.43/1.09 useeqfact = 0
% 0.43/1.09 usefactor = 1
% 0.43/1.09 usesimpsplitting = 0
% 0.43/1.09 usesimpdemod = 0
% 0.43/1.09 usesimpres = 3
% 0.43/1.09
% 0.43/1.09 resimpinuse = 1000
% 0.43/1.09 resimpclauses = 20000
% 0.43/1.09 substype = standard
% 0.43/1.09 backwardsubs = 1
% 0.43/1.09 selectoldest = 5
% 0.43/1.09
% 0.43/1.09 litorderings [0] = split
% 0.43/1.09 litorderings [1] = liftord
% 0.43/1.09
% 0.43/1.09 termordering = none
% 0.43/1.09
% 0.43/1.09 litapriori = 1
% 0.43/1.09 termapriori = 0
% 0.43/1.09 litaposteriori = 0
% 0.43/1.09 termaposteriori = 0
% 0.43/1.09 demodaposteriori = 0
% 0.43/1.09 ordereqreflfact = 0
% 0.43/1.09
% 0.43/1.09 litselect = none
% 0.43/1.09
% 0.43/1.09 maxweight = 15
% 0.43/1.09 maxdepth = 30000
% 0.43/1.09 maxlength = 115
% 0.43/1.09 maxnrvars = 195
% 0.43/1.09 excuselevel = 1
% 0.43/1.09 increasemaxweight = 1
% 0.43/1.09
% 0.43/1.09 maxselected = 10000000
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09
% 0.43/1.09 showgenerated = 0
% 0.43/1.09 showkept = 0
% 0.43/1.09 showselected = 0
% 0.43/1.09 showdeleted = 0
% 0.43/1.09 showresimp = 1
% 0.43/1.09 showstatus = 2000
% 0.43/1.09
% 0.43/1.09 prologoutput = 1
% 0.43/1.09 nrgoals = 5000000
% 0.43/1.09 totalproof = 1
% 0.43/1.09
% 0.43/1.09 Symbols occurring in the translation:
% 0.43/1.09
% 0.43/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.09 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.09 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.43/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.09 'v_Y' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.09 't_a' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.09 'tc_set' [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.09 'c_Union' [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.09 'v_m' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.09 'c_lessequals' [44, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.43/1.09 'c_in' [46, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.43/1.09 'c_Main_OUnionE__1' [50, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.43/1.09 'c_Main_OsubsetI__1' [53, 3] (w:1, o:53, a:1, s:1, b:0).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 15
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 143
% 0.43/1.09 Kept: 21
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 16
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 16
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 143
% 0.43/1.09 Kept: 21
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 17
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 17
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 143
% 0.43/1.09 Kept: 21
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 18
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 18
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 143
% 0.43/1.09 Kept: 21
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 19
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 19
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 143
% 0.43/1.09 Kept: 21
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 20
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 20
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 166
% 0.43/1.09 Kept: 22
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 21
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 21
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 178
% 0.43/1.09 Kept: 23
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 22
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 22
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 199
% 0.43/1.09 Kept: 25
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 23
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 23
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 303
% 0.43/1.09 Kept: 29
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 24
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 24
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 384
% 0.43/1.09 Kept: 32
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 25
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09 Resimplifying inuse:
% 0.43/1.09 Done
% 0.43/1.09
% 0.43/1.09 Failed to find proof!
% 0.43/1.09 maxweight = 25
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09 Generated: 643
% 0.43/1.09 Kept: 45
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 The strategy used was not complete!
% 0.43/1.09
% 0.43/1.09 Increased maxweight to 26
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Bliksems!, er is een bewijs:
% 0.43/1.09 % SZS status Unsatisfiable
% 0.43/1.09 % SZS output start Refutation
% 0.43/1.09
% 0.43/1.09 clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.43/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 1, [ 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~(
% 0.43/1.09 'c_in'( X, 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 2, [ 'c_in'( 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ),
% 0.43/1.09 ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 3, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 0.43/1.09 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 4, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z )
% 0.43/1.09 , ~( 'c_in'( X, Y, Z ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 6, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 7, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 10, [ 'c_lessequals'( 'c_Main_OUnionE__1'( X, 'v_Y', 'tc_set'(
% 0.43/1.09 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X,
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 17, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 0.43/1.09 , T, 'tc_set'( Z ) ), 'c_in'( 'c_Main_OsubsetI__1'( X, T, Z ), Y, Z ) ]
% 0.43/1.09 )
% 0.43/1.09 .
% 0.43/1.09 clause( 18, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( T
% 0.43/1.09 , Y, 'tc_set'( Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( T, Y, Z ), X, Z )
% 0.43/1.09 ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 22, [ 'c_lessequals'( T, Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( T,
% 0.43/1.09 X, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 24, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 X, Y, Z ), T, Z ), Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 0.43/1.09 Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_Union'( T, Z ), Z )
% 0.43/1.09 ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 39, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X,
% 0.43/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X, 'tc_set'(
% 0.43/1.09 't_a' ) ), 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 0.43/1.09 ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 45, [ 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ), ~(
% 0.43/1.09 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X,
% 0.43/1.09 Y ), Z, Y ), X, Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 46, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( X, Y ), Z, Y ), X, Y ), T, 'tc_set'( Y ) ) ), ~(
% 0.43/1.09 'c_lessequals'( T, Z, 'tc_set'( Y ) ) ), 'c_lessequals'( 'c_Union'( X, Y
% 0.43/1.09 ), Z, 'tc_set'( Y ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 47, [ ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.43/1.09 ), ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 't_a' ) ), 'v_Y'
% 0.43/1.09 , 'tc_set'( 't_a' ) ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 48, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 't_a' ) ), 'v_Y'
% 0.43/1.09 , 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 49, [] )
% 0.43/1.09 .
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 % SZS output end Refutation
% 0.43/1.09 found a proof!
% 0.43/1.09
% 0.43/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.09
% 0.43/1.09 initialclauses(
% 0.43/1.09 [ clause( 51, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.43/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , clause( 52, [ 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 0.43/1.09 ~( 'c_in'( X, 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , clause( 53, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 0.43/1.09 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 0.43/1.09 , clause( 54, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 0.43/1.09 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 0.43/1.09 , clause( 55, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 0.43/1.09 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 0.43/1.09 , clause( 56, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.43/1.09 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.43/1.09 , clause( 57, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.43/1.09 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.43/1.09 ] ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.43/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , clause( 51, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.43/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 1, [ 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~(
% 0.43/1.09 'c_in'( X, 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , clause( 52, [ 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 0.43/1.09 ~( 'c_in'( X, 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.09 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 2, [ 'c_in'( 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ),
% 0.43/1.09 ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ) ] )
% 0.43/1.09 , clause( 53, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 0.43/1.09 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 3, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 0.43/1.09 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 0.43/1.09 , clause( 54, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 0.43/1.09 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 4, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z )
% 0.43/1.09 , ~( 'c_in'( X, Y, Z ) ) ] )
% 0.43/1.09 , clause( 55, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 0.43/1.09 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 0.43/1.09 , clause( 56, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.43/1.09 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 6, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 0.43/1.09 , clause( 57, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.43/1.09 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 58, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ), 'c_lessequals'( X, X,
% 0.43/1.09 'tc_set'( Y ) ) ] )
% 0.43/1.09 , clause( 6, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 0.43/1.09 , 1, clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 0.43/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 0.43/1.09 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 factor(
% 0.43/1.09 clause( 59, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , clause( 58, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ), 'c_lessequals'( X, X
% 0.43/1.09 , 'tc_set'( Y ) ) ] )
% 0.43/1.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 7, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , clause( 59, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.09 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 60, [ 'c_lessequals'( 'c_Main_OUnionE__1'( X, 'v_Y', 'tc_set'(
% 0.43/1.09 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X,
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 , clause( 1, [ 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 0.43/1.09 ~( 'c_in'( X, 'v_Y', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , 1, clause( 2, [ 'c_in'( 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z )
% 0.43/1.09 ), ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'c_Main_OUnionE__1'( X, 'v_Y', 'tc_set'(
% 0.43/1.09 't_a' ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 'v_Y' ), :=( Z,
% 0.43/1.09 'tc_set'( 't_a' ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 10, [ 'c_lessequals'( 'c_Main_OUnionE__1'( X, 'v_Y', 'tc_set'(
% 0.43/1.09 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X,
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 , clause( 60, [ 'c_lessequals'( 'c_Main_OUnionE__1'( X, 'v_Y', 'tc_set'(
% 0.43/1.09 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X,
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.09 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 62, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, T, Z ), Y, Z ), 'c_lessequals'( X, T, 'tc_set'(
% 0.43/1.09 Z ) ) ] )
% 0.43/1.09 , clause( 4, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z
% 0.43/1.09 ), ~( 'c_in'( X, Y, Z ) ) ] )
% 0.43/1.09 , 2, clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 0.43/1.09 , 1, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( X, T, Z ) ), :=( Y, X
% 0.43/1.09 ), :=( Z, Z ), :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, T )
% 0.43/1.09 , :=( Z, Z )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 17, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 0.43/1.09 , T, 'tc_set'( Z ) ), 'c_in'( 'c_Main_OsubsetI__1'( X, T, Z ), Y, Z ) ]
% 0.43/1.09 )
% 0.43/1.09 , clause( 62, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, T, Z ), Y, Z ), 'c_lessequals'( X, T, 'tc_set'(
% 0.43/1.09 Z ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 66, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( T,
% 0.43/1.09 Y, 'tc_set'( Z ) ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), T, Z )
% 0.43/1.09 ) ] )
% 0.43/1.09 , clause( 6, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 0.43/1.09 , 1, clause( 4, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T
% 0.43/1.09 , Z ), ~( 'c_in'( X, Y, Z ) ) ] )
% 0.43/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, T ),
% 0.43/1.09 :=( Z, Z ), :=( T, Y )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 18, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( T
% 0.43/1.09 , Y, 'tc_set'( Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( T, Y, Z ), X, Z )
% 0.43/1.09 ) ] )
% 0.43/1.09 , clause( 66, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( T
% 0.43/1.09 , Y, 'tc_set'( Z ) ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), T, Z
% 0.43/1.09 ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 68, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( T
% 0.43/1.09 , Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( T, X, 'tc_set'( Z ) ) ),
% 0.43/1.09 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ] )
% 0.43/1.09 , clause( 18, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 0.43/1.09 T, Y, 'tc_set'( Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( T, Y, Z ), X, Z )
% 0.43/1.09 ) ] )
% 0.43/1.09 , 2, clause( 17, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 0.43/1.09 'c_lessequals'( X, T, 'tc_set'( Z ) ), 'c_in'( 'c_Main_OsubsetI__1'( X, T
% 0.43/1.09 , Z ), Y, Z ) ] )
% 0.43/1.09 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 factor(
% 0.43/1.09 clause( 70, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( T
% 0.43/1.09 , Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( T, X, 'tc_set'( Z ) ) ) ] )
% 0.43/1.09 , clause( 68, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 0.43/1.09 T, Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( T, X, 'tc_set'( Z ) ) ),
% 0.43/1.09 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ] )
% 0.43/1.09 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.43/1.09 ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 22, [ 'c_lessequals'( T, Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( T,
% 0.43/1.09 X, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ) ] )
% 0.43/1.09 , clause( 70, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 0.43/1.09 T, Y, 'tc_set'( Z ) ), ~( 'c_lessequals'( T, X, 'tc_set'( Z ) ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 72, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 X, Y, Z ), T, Z ), Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 0.43/1.09 Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_Union'( T, Z ), Z )
% 0.43/1.09 ) ] )
% 0.43/1.09 , clause( 18, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'(
% 0.43/1.09 T, Y, 'tc_set'( Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( T, Y, Z ), X, Z )
% 0.43/1.09 ) ] )
% 0.43/1.09 , 2, clause( 3, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 0.43/1.09 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 0.43/1.09 , 1, substitution( 0, [ :=( X, 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( X
% 0.43/1.09 , Y, Z ), T, Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ), substitution(
% 0.43/1.09 1, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, T ), :=( Z, Z )] )
% 0.43/1.09 ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 24, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 X, Y, Z ), T, Z ), Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 0.43/1.09 Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_Union'( T, Z ), Z )
% 0.43/1.09 ) ] )
% 0.43/1.09 , clause( 72, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), T, Z ), Y, 'tc_set'( Z ) ) ),
% 0.43/1.09 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X
% 0.43/1.09 , Y, Z ), 'c_Union'( T, Z ), Z ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 73, [ 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X, 'tc_set'( 't_a' ) ), 'v_Y',
% 0.43/1.09 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 0.43/1.09 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X, 'tc_set'(
% 0.43/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 , clause( 10, [ 'c_lessequals'( 'c_Main_OUnionE__1'( X, 'v_Y', 'tc_set'(
% 0.43/1.09 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_in'( X,
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 , 1, clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 0.43/1.09 , 1, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'c_Union'( 'v_Y',
% 0.43/1.09 'tc_set'( 't_a' ) ), X, 'tc_set'( 't_a' ) ) )] ), substitution( 1, [ :=(
% 0.43/1.09 X, 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ) ), :=( Y, X ), :=( Z, 'tc_set'(
% 0.43/1.09 't_a' ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 39, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X,
% 0.43/1.09 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X, 'tc_set'(
% 0.43/1.09 't_a' ) ), 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 0.43/1.09 ) ) ] )
% 0.43/1.09 , clause( 73, [ 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X, 'tc_set'( 't_a' ) ), 'v_Y',
% 0.43/1.09 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 0.43/1.09 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X, 'tc_set'(
% 0.43/1.09 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.09 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 75, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( X, Y ), Z, Y ), X, Y ), Z, 'tc_set'( Y ) ) ), 'c_lessequals'(
% 0.43/1.09 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ), 'c_lessequals'( 'c_Union'( X, Y )
% 0.43/1.09 , Z, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , clause( 24, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), T, Z ), Y, 'tc_set'( Z ) ) ),
% 0.43/1.09 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X
% 0.43/1.09 , Y, Z ), 'c_Union'( T, Z ), Z ) ) ] )
% 0.43/1.09 , 2, clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'(
% 0.43/1.09 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ) ] )
% 0.43/1.09 , 1, substitution( 0, [ :=( X, 'c_Union'( X, Y ) ), :=( Y, Z ), :=( Z, Y )
% 0.43/1.09 , :=( T, X )] ), substitution( 1, [ :=( X, 'c_Union'( X, Y ) ), :=( Y, Z
% 0.43/1.09 ), :=( Z, Y )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 factor(
% 0.43/1.09 clause( 76, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( X, Y ), Z, Y ), X, Y ), Z, 'tc_set'( Y ) ) ), 'c_lessequals'(
% 0.43/1.09 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , clause( 75, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X, Y ), Z, 'tc_set'( Y )
% 0.43/1.09 ) ), 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ),
% 0.43/1.09 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 45, [ 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ), ~(
% 0.43/1.09 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X,
% 0.43/1.09 Y ), Z, Y ), X, Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.43/1.09 , clause( 76, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X, Y ), Z, 'tc_set'( Y )
% 0.43/1.09 ) ), 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 77, [ 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ), ~(
% 0.43/1.09 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X,
% 0.43/1.09 Y ), Z, Y ), X, Y ), T, 'tc_set'( Y ) ) ), ~( 'c_lessequals'( T, Z,
% 0.43/1.09 'tc_set'( Y ) ) ) ] )
% 0.43/1.09 , clause( 45, [ 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ), ~(
% 0.43/1.09 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X,
% 0.43/1.09 Y ), Z, Y ), X, Y ), Z, 'tc_set'( Y ) ) ) ] )
% 0.43/1.09 , 1, clause( 22, [ 'c_lessequals'( T, Y, 'tc_set'( Z ) ), ~( 'c_lessequals'(
% 0.43/1.09 T, X, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 substitution( 1, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 0.43/1.09 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X,
% 0.43/1.09 Y ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 46, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( X, Y ), Z, Y ), X, Y ), T, 'tc_set'( Y ) ) ), ~(
% 0.43/1.09 'c_lessequals'( T, Z, 'tc_set'( Y ) ) ), 'c_lessequals'( 'c_Union'( X, Y
% 0.43/1.09 ), Z, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , clause( 77, [ 'c_lessequals'( 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ), ~(
% 0.43/1.09 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'( 'c_Union'( X,
% 0.43/1.09 Y ), Z, Y ), X, Y ), T, 'tc_set'( Y ) ) ), ~( 'c_lessequals'( T, Z,
% 0.43/1.09 'tc_set'( Y ) ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 78, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 't_a' ) ), 'v_Y'
% 0.43/1.09 , 'tc_set'( 't_a' ) ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~(
% 0.43/1.09 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.43/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , 0, clause( 46, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( X, Y ), Z, Y ), X, Y ), T, 'tc_set'( Y )
% 0.43/1.09 ) ), ~( 'c_lessequals'( T, Z, 'tc_set'( Y ) ) ), 'c_lessequals'(
% 0.43/1.09 'c_Union'( X, Y ), Z, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Y' ), :=( Y,
% 0.43/1.09 'tc_set'( 't_a' ) ), :=( Z, 'v_m' ), :=( T, X )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 47, [ ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.43/1.09 ), ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 't_a' ) ), 'v_Y'
% 0.43/1.09 , 'tc_set'( 't_a' ) ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , clause( 78, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m',
% 0.43/1.09 'tc_set'( 't_a' ) ), 'v_Y', 'tc_set'( 't_a' ) ), X, 'tc_set'( 'tc_set'(
% 0.43/1.09 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 0.43/1.09 ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.09 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 79, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 't_a' ) ), 'v_Y'
% 0.43/1.09 , 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , clause( 47, [ ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 0.43/1.09 ) ), ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 't_a' ) ), 'v_Y'
% 0.43/1.09 , 'tc_set'( 't_a' ) ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , 0, clause( 7, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'v_m' )] ), substitution( 1, [ :=( X, 'v_m'
% 0.43/1.09 ), :=( Y, 'tc_set'( 't_a' ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 48, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'( 'c_Main_OsubsetI__1'(
% 0.43/1.09 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 't_a' ) ), 'v_Y'
% 0.43/1.09 , 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , clause( 79, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m',
% 0.43/1.09 'tc_set'( 't_a' ) ), 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'(
% 0.43/1.09 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 80, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m'
% 0.43/1.09 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 , clause( 48, [ ~( 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_m',
% 0.43/1.09 'tc_set'( 't_a' ) ), 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'(
% 0.43/1.09 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , 0, clause( 39, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X
% 0.43/1.09 , 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Main_OUnionE__1'(
% 0.43/1.09 'c_Main_OsubsetI__1'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), X, 'tc_set'(
% 0.43/1.09 't_a' ) ), 'v_Y', 'tc_set'( 't_a' ) ), 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 0.43/1.09 ) ) ] )
% 0.43/1.09 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_m' )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 81, [] )
% 0.43/1.09 , clause( 0, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.43/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.09 , 0, clause( 80, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 0.43/1.09 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 49, [] )
% 0.43/1.09 , clause( 81, [] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 end.
% 0.43/1.09
% 0.43/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.09
% 0.43/1.09 Memory use:
% 0.43/1.09
% 0.43/1.09 space for terms: 1309
% 0.43/1.09 space for clauses: 3988
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 clauses generated: 724
% 0.43/1.09 clauses kept: 50
% 0.43/1.09 clauses selected: 49
% 0.43/1.09 clauses deleted: 0
% 0.43/1.09 clauses inuse deleted: 0
% 0.43/1.09
% 0.43/1.09 subsentry: 425
% 0.43/1.09 literals s-matched: 303
% 0.43/1.09 literals matched: 296
% 0.43/1.09 full subsumption: 197
% 0.43/1.09
% 0.43/1.09 checksum: 2031268700
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Bliksem ended
%------------------------------------------------------------------------------