TSTP Solution File: COM011-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM011-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Fri Jul 15 00:51:04 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM011-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n028.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 : Thu Jun 16 17:35:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'v_A', 'c_union'( 'v_A', 'v_B',
% 0.42/1.06 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ],
% 0.42/1.06 [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'v_A', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ],
% 0.42/1.06 [ ~( 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ) ],
% 0.42/1.06 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.42/1.06 ) ],
% 0.42/1.06 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.42/1.06 , 'tc_set'( Z ) ) ],
% 0.42/1.06 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 0.42/1.06 X, Y, 'tc_set'( Z ) ) ],
% 0.42/1.06 [ ~( 'c_in'( X, 'c_UNITY_Oconstrains'( Y, Z, T ), 'tc_UNITY_Oprogram'( T
% 0.42/1.06 ) ) ), ~( 'c_lessequals'( U, Y, 'tc_set'( T ) ) ), 'c_in'( X,
% 0.42/1.06 'c_UNITY_Oconstrains'( U, Z, T ), 'tc_UNITY_Oprogram'( T ) ) ],
% 0.42/1.06 [ ~( 'c_in'( X, 'c_UNITY_Oconstrains'( 'c_minus'( Y, Z, 'tc_set'( T ) )
% 0.42/1.06 , 'c_union'( Y, Z, T ), T ), 'tc_UNITY_Oprogram'( T ) ) ), ~( 'c_in'( X,
% 0.42/1.06 'c_WFair_Otransient'( 'c_minus'( Y, Z, 'tc_set'( T ) ), T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ],
% 0.42/1.06 [ ~( 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T ), 'tc_UNITY_Oprogram'( T )
% 0.42/1.06 ) ), 'c_in'( X, 'c_WFair_OleadsTo'( Y, Z, T ), 'tc_UNITY_Oprogram'( T )
% 0.42/1.06 ) ],
% 0.42/1.06 [ ~( 'c_in'( X, 'c_WFair_Otransient'( Y, Z ), 'tc_UNITY_Oprogram'( Z ) )
% 0.42/1.06 ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 0.42/1.06 'c_WFair_Otransient'( T, Z ), 'tc_UNITY_Oprogram'( Z ) ) ]
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 0.000000, percentage horn = 0.900000
% 0.42/1.06 This is a near-Horn, non-equality problem
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 0
% 0.42/1.06 useeqrefl = 0
% 0.42/1.06 useeqfact = 0
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 0
% 0.42/1.06 usesimpres = 4
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = standard
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = liftord
% 0.42/1.06
% 0.42/1.06 termordering = none
% 0.42/1.06
% 0.42/1.06 litapriori = 1
% 0.42/1.06 termapriori = 0
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negative
% 0.42/1.06
% 0.42/1.06 maxweight = 30000
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 0
% 0.42/1.06 increasemaxweight = 0
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 'v_F' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.06 'v_A' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.06 'v_B' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.42/1.06 't_a' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.06 'c_union' [43, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.42/1.06 'c_UNITY_Oconstrains' [44, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.42/1.06 'tc_UNITY_Oprogram' [45, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.06 'c_in' [46, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.42/1.06 'c_WFair_Otransient' [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.42/1.06 'c_WFair_OleadsTo' [48, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.42/1.06 'tc_set' [53, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.42/1.06 'c_minus' [54, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.42/1.06 'c_Main_OsubsetI__1' [55, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.42/1.06 'c_lessequals' [56, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.42/1.06 'c_WFair_Oensures' [59, 3] (w:1, o:59, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 0, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'v_A', 'c_union'( 'v_A'
% 0.42/1.06 , 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 1, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'v_A', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 2, [ ~( 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 3, [ 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T
% 0.42/1.06 ) ), T ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.42/1.06 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 0.42/1.06 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 6, [ ~( 'c_lessequals'( U, Y, 'tc_set'( T ) ) ), 'c_in'( X,
% 0.42/1.06 'c_UNITY_Oconstrains'( U, Z, T ), 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'(
% 0.42/1.06 X, 'c_UNITY_Oconstrains'( Y, Z, T ), 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 7, [ ~( 'c_in'( X, 'c_WFair_Otransient'( 'c_minus'( Y, Z, 'tc_set'(
% 0.42/1.06 T ) ), T ), 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X, 'c_WFair_Oensures'(
% 0.42/1.06 Y, Z, T ), 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'( X,
% 0.42/1.06 'c_UNITY_Oconstrains'( 'c_minus'( Y, Z, 'tc_set'( T ) ), 'c_union'( Y, Z
% 0.42/1.06 , T ), T ), 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 8, [ 'c_in'( X, 'c_WFair_OleadsTo'( Y, Z, T ), 'tc_UNITY_Oprogram'(
% 0.42/1.06 T ) ), ~( 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T ), 'tc_UNITY_Oprogram'(
% 0.42/1.06 T ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 9, [ ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 0.42/1.06 'c_WFair_Otransient'( T, Z ), 'tc_UNITY_Oprogram'( Z ) ), ~( 'c_in'( X,
% 0.42/1.06 'c_WFair_Otransient'( Y, Z ), 'tc_UNITY_Oprogram'( Z ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 10, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.42/1.06 't_a' ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 11, [ 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_A', 't_a' ), X, 't_a' ),
% 0.42/1.06 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ), 'tc_UNITY_Oprogram'(
% 0.42/1.06 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 13, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A',
% 0.42/1.06 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ), ~(
% 0.42/1.06 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 14, [ 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_A', 't_a' ), X, 't_a' ),
% 0.42/1.06 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 18, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A', 'v_B', 'tc_set'(
% 0.42/1.06 't_a' ) ), 't_a' ), 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B',
% 0.42/1.06 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 19, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A', 'v_B', 'tc_set'(
% 0.42/1.06 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 20, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 21, [ 'c_lessequals'( 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' ) )
% 0.42/1.06 , 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 23, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'c_minus'( 'v_A', 'v_B'
% 0.42/1.06 , 'tc_set'( 't_a' ) ), 'c_union'( 'v_A', 'v_B', 't_a' ), 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 24, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A', 'v_B'
% 0.42/1.06 , 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 27, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 29, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 31, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'v_A', 'c_union'(
% 0.42/1.06 'v_A', 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 32, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'v_A', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 33, [ ~( 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 'tc_UNITY_Oprogram'( 't_a' ) ) ) ] )
% 0.42/1.06 , clause( 34, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 0.42/1.06 'c_in'( X, Y, T ) ] )
% 0.42/1.06 , clause( 35, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.42/1.06 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.42/1.06 , clause( 36, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.42/1.06 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.42/1.06 , clause( 37, [ ~( 'c_in'( X, 'c_UNITY_Oconstrains'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ), ~( 'c_lessequals'( U, Y, 'tc_set'( T ) ) )
% 0.42/1.06 , 'c_in'( X, 'c_UNITY_Oconstrains'( U, Z, T ), 'tc_UNITY_Oprogram'( T ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 38, [ ~( 'c_in'( X, 'c_UNITY_Oconstrains'( 'c_minus'( Y, Z,
% 0.42/1.06 'tc_set'( T ) ), 'c_union'( Y, Z, T ), T ), 'tc_UNITY_Oprogram'( T ) ) )
% 0.42/1.06 , ~( 'c_in'( X, 'c_WFair_Otransient'( 'c_minus'( Y, Z, 'tc_set'( T ) ), T
% 0.42/1.06 ), 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T
% 0.42/1.06 ), 'tc_UNITY_Oprogram'( T ) ) ] )
% 0.42/1.06 , clause( 39, [ ~( 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X, 'c_WFair_OleadsTo'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ] )
% 0.42/1.06 , clause( 40, [ ~( 'c_in'( X, 'c_WFair_Otransient'( Y, Z ),
% 0.42/1.06 'tc_UNITY_Oprogram'( Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) )
% 0.42/1.06 , 'c_in'( X, 'c_WFair_Otransient'( T, Z ), 'tc_UNITY_Oprogram'( Z ) ) ]
% 0.42/1.06 )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 0, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'v_A', 'c_union'( 'v_A'
% 0.42/1.06 , 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 31, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'v_A', 'c_union'(
% 0.42/1.06 'v_A', 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 1, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'v_A', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 32, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'v_A', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 2, [ ~( 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ) ] )
% 0.42/1.06 , clause( 33, [ ~( 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 'tc_UNITY_Oprogram'( 't_a' ) ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 3, [ 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T
% 0.42/1.06 ) ), T ) ) ] )
% 0.42/1.06 , clause( 34, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 0.42/1.06 'c_in'( X, Y, T ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 4, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.42/1.06 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.42/1.06 , clause( 35, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.42/1.06 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 0.42/1.06 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 0.42/1.06 , clause( 36, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.42/1.06 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 6, [ ~( 'c_lessequals'( U, Y, 'tc_set'( T ) ) ), 'c_in'( X,
% 0.42/1.06 'c_UNITY_Oconstrains'( U, Z, T ), 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'(
% 0.42/1.06 X, 'c_UNITY_Oconstrains'( Y, Z, T ), 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 , clause( 37, [ ~( 'c_in'( X, 'c_UNITY_Oconstrains'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ), ~( 'c_lessequals'( U, Y, 'tc_set'( T ) ) )
% 0.42/1.06 , 'c_in'( X, 'c_UNITY_Oconstrains'( U, Z, T ), 'tc_UNITY_Oprogram'( T ) )
% 0.42/1.06 ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.42/1.06 , U )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 7, [ ~( 'c_in'( X, 'c_WFair_Otransient'( 'c_minus'( Y, Z, 'tc_set'(
% 0.42/1.06 T ) ), T ), 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X, 'c_WFair_Oensures'(
% 0.42/1.06 Y, Z, T ), 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'( X,
% 0.42/1.06 'c_UNITY_Oconstrains'( 'c_minus'( Y, Z, 'tc_set'( T ) ), 'c_union'( Y, Z
% 0.42/1.06 , T ), T ), 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 , clause( 38, [ ~( 'c_in'( X, 'c_UNITY_Oconstrains'( 'c_minus'( Y, Z,
% 0.42/1.06 'tc_set'( T ) ), 'c_union'( Y, Z, T ), T ), 'tc_UNITY_Oprogram'( T ) ) )
% 0.42/1.06 , ~( 'c_in'( X, 'c_WFair_Otransient'( 'c_minus'( Y, Z, 'tc_set'( T ) ), T
% 0.42/1.06 ), 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T
% 0.42/1.06 ), 'tc_UNITY_Oprogram'( T ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 8, [ 'c_in'( X, 'c_WFair_OleadsTo'( Y, Z, T ), 'tc_UNITY_Oprogram'(
% 0.42/1.06 T ) ), ~( 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T ), 'tc_UNITY_Oprogram'(
% 0.42/1.06 T ) ) ) ] )
% 0.42/1.06 , clause( 39, [ ~( 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X, 'c_WFair_OleadsTo'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 9, [ ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 0.42/1.06 'c_WFair_Otransient'( T, Z ), 'tc_UNITY_Oprogram'( Z ) ), ~( 'c_in'( X,
% 0.42/1.06 'c_WFair_Otransient'( Y, Z ), 'tc_UNITY_Oprogram'( Z ) ) ) ] )
% 0.42/1.06 , clause( 40, [ ~( 'c_in'( X, 'c_WFair_Otransient'( Y, Z ),
% 0.42/1.06 'tc_UNITY_Oprogram'( Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) )
% 0.42/1.06 , 'c_in'( X, 'c_WFair_Otransient'( T, Z ), 'tc_UNITY_Oprogram'( Z ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 41, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.42/1.06 'v_F', 'c_WFair_Otransient'( X, 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 9, [ ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 0.42/1.06 'c_WFair_Otransient'( T, Z ), 'tc_UNITY_Oprogram'( Z ) ), ~( 'c_in'( X,
% 0.42/1.06 'c_WFair_Otransient'( Y, Z ), 'tc_UNITY_Oprogram'( Z ) ) ) ] )
% 0.42/1.06 , 2, clause( 1, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'v_A', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'v_F' ), :=( Y, 'v_A' ), :=( Z, 't_a' ),
% 0.42/1.06 :=( T, X )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 10, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.42/1.06 't_a' ) ) ) ] )
% 0.42/1.06 , clause( 41, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.42/1.06 'v_F', 'c_WFair_Otransient'( X, 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 42, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_A',
% 0.42/1.06 't_a' ), X, 't_a' ) ] )
% 0.42/1.06 , clause( 10, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.42/1.06 't_a' ) ) ) ] )
% 0.42/1.06 , 1, clause( 4, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.42/1.06 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.42/1.06 , 'v_A' ), :=( Z, 't_a' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 11, [ 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_A', 't_a' ), X, 't_a' ),
% 0.42/1.06 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ), 'tc_UNITY_Oprogram'(
% 0.42/1.06 't_a' ) ) ] )
% 0.42/1.06 , clause( 42, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_A',
% 0.42/1.06 't_a' ), X, 't_a' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 43, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.42/1.06 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A', 'v_B', 't_a' ), 't_a'
% 0.42/1.06 ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 6, [ ~( 'c_lessequals'( U, Y, 'tc_set'( T ) ) ), 'c_in'( X,
% 0.42/1.06 'c_UNITY_Oconstrains'( U, Z, T ), 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'(
% 0.42/1.06 X, 'c_UNITY_Oconstrains'( Y, Z, T ), 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 , 2, clause( 0, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'v_A', 'c_union'(
% 0.42/1.06 'v_A', 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'v_F' ), :=( Y, 'v_A' ), :=( Z, 'c_union'(
% 0.42/1.06 'v_A', 'v_B', 't_a' ) ), :=( T, 't_a' ), :=( U, X )] ), substitution( 1
% 0.42/1.06 , [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 13, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A',
% 0.42/1.06 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ), ~(
% 0.42/1.06 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 , clause( 43, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'(
% 0.42/1.06 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A', 'v_B', 't_a' ), 't_a'
% 0.42/1.06 ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 44, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A',
% 0.42/1.06 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'(
% 0.42/1.06 'c_Main_OsubsetI__1'( X, 'v_A', 't_a' ), X, 't_a' ) ] )
% 0.42/1.06 , clause( 13, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A',
% 0.42/1.06 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ), ~(
% 0.42/1.06 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 , 1, clause( 4, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.42/1.06 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.42/1.06 , 'v_A' ), :=( Z, 't_a' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 14, [ 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_A', 't_a' ), X, 't_a' ),
% 0.42/1.06 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 44, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A',
% 0.42/1.06 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'(
% 0.42/1.06 'c_Main_OsubsetI__1'( X, 'v_A', 't_a' ), X, 't_a' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 45, [ ~( 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ),
% 0.42/1.06 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , clause( 7, [ ~( 'c_in'( X, 'c_WFair_Otransient'( 'c_minus'( Y, Z,
% 0.42/1.06 'tc_set'( T ) ), T ), 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X,
% 0.42/1.06 'c_WFair_Oensures'( Y, Z, T ), 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'( X,
% 0.42/1.06 'c_UNITY_Oconstrains'( 'c_minus'( Y, Z, 'tc_set'( T ) ), 'c_union'( Y, Z
% 0.42/1.06 , T ), T ), 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 , 2, clause( 14, [ 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_A', 't_a' ), X,
% 0.42/1.06 't_a' ), 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A', 'v_B'
% 0.42/1.06 , 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'v_F' ), :=( Y, 'v_A' ), :=( Z, 'v_B' ),
% 0.42/1.06 :=( T, 't_a' )] ), substitution( 1, [ :=( X, 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ) )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 46, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ), 'c_in'( 'c_Main_OsubsetI__1'(
% 0.42/1.06 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , clause( 45, [ ~( 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ),
% 0.42/1.06 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , 0, clause( 11, [ 'c_in'( 'c_Main_OsubsetI__1'( X, 'v_A', 't_a' ), X,
% 0.42/1.06 't_a' ), 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ) )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 47, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , clause( 46, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ), 'c_in'( 'c_Main_OsubsetI__1'(
% 0.42/1.06 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , 1, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 18, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A', 'v_B', 'tc_set'(
% 0.42/1.06 't_a' ) ), 't_a' ), 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B',
% 0.42/1.06 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 47, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 48, [ 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , clause( 8, [ 'c_in'( X, 'c_WFair_OleadsTo'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 , 1, clause( 18, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A', 'v_B', 'tc_set'(
% 0.42/1.06 't_a' ) ), 't_a' ), 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B',
% 0.42/1.06 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'v_F' ), :=( Y, 'v_A' ), :=( Z, 'v_B' ),
% 0.42/1.06 :=( T, 't_a' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 49, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A', 'v_B', 'tc_set'(
% 0.42/1.06 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , clause( 2, [ ~( 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 'tc_UNITY_Oprogram'( 't_a' ) ) ) ] )
% 0.42/1.06 , 0, clause( 48, [ 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 'tc_UNITY_Oprogram'( 't_a' ) ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'(
% 0.42/1.06 'v_A', 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 19, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A', 'v_B', 'tc_set'(
% 0.42/1.06 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , clause( 49, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A', 'v_B', 'tc_set'(
% 0.42/1.06 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 50, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06 , clause( 3, [ 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'(
% 0.42/1.06 T ) ), T ) ) ] )
% 0.42/1.06 , 1, clause( 19, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'c_minus'( 'v_A', 'v_B', 'tc_set'(
% 0.42/1.06 't_a' ) ), 't_a' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 'v_A', 't_a' ) ), :=( Y, 'v_A' ), :=( Z,
% 0.42/1.06 'v_B' ), :=( T, 't_a' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 20, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06 , clause( 50, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 51, [ 'c_lessequals'( 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' ) )
% 0.42/1.06 , 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 5, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), ~( 'c_in'(
% 0.42/1.06 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ) ] )
% 0.42/1.06 , 1, clause( 20, [ 'c_in'( 'c_Main_OsubsetI__1'( 'c_minus'( 'v_A', 'v_B',
% 0.42/1.06 'tc_set'( 't_a' ) ), 'v_A', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' ) )
% 0.42/1.06 ), :=( Y, 'v_A' ), :=( Z, 't_a' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 21, [ 'c_lessequals'( 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' ) )
% 0.42/1.06 , 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 51, [ 'c_lessequals'( 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' )
% 0.42/1.06 ), 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 52, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'c_minus'( 'v_A', 'v_B'
% 0.42/1.06 , 'tc_set'( 't_a' ) ), 'c_union'( 'v_A', 'v_B', 't_a' ), 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 13, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( X, 'c_union'( 'v_A',
% 0.42/1.06 'v_B', 't_a' ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ), ~(
% 0.42/1.06 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06 , 1, clause( 21, [ 'c_lessequals'( 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a'
% 0.42/1.06 ) ), 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' ) )
% 0.42/1.06 )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 23, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'c_minus'( 'v_A', 'v_B'
% 0.42/1.06 , 'tc_set'( 't_a' ) ), 'c_union'( 'v_A', 'v_B', 't_a' ), 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 52, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 'c_union'( 'v_A', 'v_B', 't_a' ), 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 53, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A', 'v_B'
% 0.42/1.06 , 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 10, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( X, 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ), ~( 'c_lessequals'( X, 'v_A', 'tc_set'(
% 0.42/1.06 't_a' ) ) ) ] )
% 0.42/1.06 , 1, clause( 21, [ 'c_lessequals'( 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a'
% 0.42/1.06 ) ), 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'c_minus'( 'v_A', 'v_B', 'tc_set'( 't_a' ) )
% 0.42/1.06 )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 24, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A', 'v_B'
% 0.42/1.06 , 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 53, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 54, [ ~( 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ),
% 0.42/1.06 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 7, [ ~( 'c_in'( X, 'c_WFair_Otransient'( 'c_minus'( Y, Z,
% 0.42/1.06 'tc_set'( T ) ), T ), 'tc_UNITY_Oprogram'( T ) ) ), 'c_in'( X,
% 0.42/1.06 'c_WFair_Oensures'( Y, Z, T ), 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'( X,
% 0.42/1.06 'c_UNITY_Oconstrains'( 'c_minus'( Y, Z, 'tc_set'( T ) ), 'c_union'( Y, Z
% 0.42/1.06 , T ), T ), 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 , 2, clause( 23, [ 'c_in'( 'v_F', 'c_UNITY_Oconstrains'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 'c_union'( 'v_A', 'v_B', 't_a' ), 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'v_F' ), :=( Y, 'v_A' ), :=( Z, 'v_B' ),
% 0.42/1.06 :=( T, 't_a' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 55, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 54, [ ~( 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ),
% 0.42/1.06 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 0, clause( 24, [ 'c_in'( 'v_F', 'c_WFair_Otransient'( 'c_minus'( 'v_A',
% 0.42/1.06 'v_B', 'tc_set'( 't_a' ) ), 't_a' ), 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 27, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 55, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 56, [ 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' ),
% 0.42/1.06 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , clause( 8, [ 'c_in'( X, 'c_WFair_OleadsTo'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ), ~( 'c_in'( X, 'c_WFair_Oensures'( Y, Z, T ),
% 0.42/1.06 'tc_UNITY_Oprogram'( T ) ) ) ] )
% 0.42/1.06 , 1, clause( 27, [ 'c_in'( 'v_F', 'c_WFair_Oensures'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'v_F' ), :=( Y, 'v_A' ), :=( Z, 'v_B' ),
% 0.42/1.06 :=( T, 't_a' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 57, [] )
% 0.42/1.06 , clause( 2, [ ~( 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 'tc_UNITY_Oprogram'( 't_a' ) ) ) ] )
% 0.42/1.06 , 0, clause( 56, [ 'c_in'( 'v_F', 'c_WFair_OleadsTo'( 'v_A', 'v_B', 't_a' )
% 0.42/1.06 , 'tc_UNITY_Oprogram'( 't_a' ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 29, [] )
% 0.42/1.06 , clause( 57, [] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 end.
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 Memory use:
% 0.42/1.06
% 0.42/1.06 space for terms: 880
% 0.42/1.06 space for clauses: 2438
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 clauses generated: 34
% 0.42/1.06 clauses kept: 30
% 0.42/1.06 clauses selected: 24
% 0.42/1.06 clauses deleted: 0
% 0.42/1.06 clauses inuse deleted: 0
% 0.42/1.06
% 0.42/1.06 subsentry: 18
% 0.42/1.06 literals s-matched: 17
% 0.42/1.06 literals matched: 17
% 0.42/1.06 full subsumption: 1
% 0.42/1.06
% 0.42/1.06 checksum: -479274764
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksem ended
%------------------------------------------------------------------------------