TSTP Solution File: LCL429-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL429-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 : Sun Jul 17 07:53:35 EDT 2022
% Result : Unsatisfiable 0.46s 1.11s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL429-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sat Jul 2 11:32:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.46/1.11 *** allocated 10000 integers for termspace/termends
% 0.46/1.11 *** allocated 10000 integers for clauses
% 0.46/1.11 *** allocated 10000 integers for justifications
% 0.46/1.11 Bliksem 1.12
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Automatic Strategy Selection
% 0.46/1.11
% 0.46/1.11 Clauses:
% 0.46/1.11 [
% 0.46/1.11 [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_minus'( Y, Z, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ), T ), 'tc_PropLog_Opl'( T ) ) ), ~(
% 0.46/1.11 'c_lessequals'( Y, U, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ), 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_minus'( U, Z, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ),
% 0.46/1.11 T ), 'tc_PropLog_Opl'( T ) ) ],
% 0.46/1.11 [ 'c_lessequals'( 'c_PropLog_Ohyps'( X, 'c_minus'( Y, 'c_insert'( Z,
% 0.46/1.11 'c_emptyset', T ), 'tc_set'( T ) ), T ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( Z, T ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', T ), 'c_minus'( 'c_PropLog_Ohyps'( X, Y, T ),
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Ovar'( Z, T ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.46/1.11 T ) ), 'tc_set'( 'tc_PropLog_Opl'( T ) ) ), 'tc_PropLog_Opl'( T ) ),
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ],
% 0.46/1.11 [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_insert'( T,
% 0.46/1.11 'c_minus'( X, 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), Z ), 'tc_set'( Z )
% 0.46/1.11 ) ],
% 0.46/1.11 [ 'c_lessequals'( 'c_minus'( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( Z
% 0.46/1.11 , 'c_emptyset', T ), 'tc_set'( T ) ), T ), U, 'tc_set'( T ) ), 'c_insert'(
% 0.46/1.11 X, 'c_minus'( Y, 'c_insert'( Z, U, T ), 'tc_set'( T ) ), T ), 'tc_set'( T
% 0.46/1.11 ) ) ],
% 0.46/1.11 [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T
% 0.46/1.11 ) ), T ), 'tc_PropLog_Opl'( T ) ) ), ~( 'c_in'( X, 'c_PropLog_Othms'(
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Ofalse', T ), Z
% 0.46/1.11 , 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ) ],
% 0.46/1.11 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 0.46/1.11 ~( 'c_lessequals'( Y, T, 'tc_set'( 'tc_PropLog_Opl'( Z ) ) ) ), 'c_in'( X
% 0.46/1.11 , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.46/1.11 [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_PropLog_Ohyps'( 'v_p'
% 0.46/1.11 , X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) ],
% 0.46/1.11 [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_PropLog_Ohyps'(
% 0.46/1.11 'v_p', 'v_t', 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( 'v_v', 't_a' ),
% 0.46/1.11 'v_F', 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ]
% 0.46/1.11 ] .
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 percentage equality = 0.000000, percentage horn = 1.000000
% 0.46/1.11 This is a near-Horn, non-equality problem
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Options Used:
% 0.46/1.11
% 0.46/1.11 useres = 1
% 0.46/1.11 useparamod = 0
% 0.46/1.11 useeqrefl = 0
% 0.46/1.11 useeqfact = 0
% 0.46/1.11 usefactor = 1
% 0.46/1.11 usesimpsplitting = 0
% 0.46/1.11 usesimpdemod = 0
% 0.46/1.11 usesimpres = 4
% 0.46/1.11
% 0.46/1.11 resimpinuse = 1000
% 0.46/1.11 resimpclauses = 20000
% 0.46/1.11 substype = standard
% 0.46/1.11 backwardsubs = 1
% 0.46/1.11 selectoldest = 5
% 0.46/1.11
% 0.46/1.11 litorderings [0] = split
% 0.46/1.11 litorderings [1] = liftord
% 0.46/1.11
% 0.46/1.11 termordering = none
% 0.46/1.11
% 0.46/1.11 litapriori = 1
% 0.46/1.11 termapriori = 0
% 0.46/1.11 litaposteriori = 0
% 0.46/1.11 termaposteriori = 0
% 0.46/1.11 demodaposteriori = 0
% 0.46/1.11 ordereqreflfact = 0
% 0.46/1.11
% 0.46/1.11 litselect = negative
% 0.46/1.11
% 0.46/1.11 maxweight = 30000
% 0.46/1.11 maxdepth = 30000
% 0.46/1.11 maxlength = 115
% 0.46/1.11 maxnrvars = 195
% 0.46/1.11 excuselevel = 0
% 0.46/1.11 increasemaxweight = 0
% 0.46/1.11
% 0.46/1.11 maxselected = 10000000
% 0.46/1.11 maxnrclauses = 10000000
% 0.46/1.11
% 0.46/1.11 showgenerated = 0
% 0.46/1.11 showkept = 0
% 0.46/1.11 showselected = 0
% 0.46/1.11 showdeleted = 0
% 0.46/1.11 showresimp = 1
% 0.46/1.11 showstatus = 2000
% 0.46/1.11
% 0.46/1.11 prologoutput = 1
% 0.46/1.11 nrgoals = 5000000
% 0.46/1.11 totalproof = 1
% 0.46/1.11
% 0.46/1.11 Symbols occurring in the translation:
% 0.46/1.11
% 0.46/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.11 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 0.46/1.11 ! [4, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.46/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.11 'tc_PropLog_Opl' [43, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.46/1.11 'tc_set' [44, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.46/1.11 'c_minus' [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.46/1.11 'c_PropLog_Othms' [46, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.46/1.11 'c_in' [47, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.46/1.11 'c_lessequals' [49, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.46/1.11 'c_emptyset' [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.46/1.11 'c_insert' [53, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.46/1.11 'c_PropLog_Ohyps' [54, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.46/1.11 'c_PropLog_Opl_Ovar' [55, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.46/1.11 'c_PropLog_Opl_Ofalse' [56, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62' [57, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.46/1.11 'v_p' [64, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.46/1.11 't_a' [66, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.46/1.11 'v_F' [67, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.46/1.11 'v_t' [68, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.46/1.11 'v_v' [69, 0] (w:1, o:29, a:1, s:1, b:0).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Starting Search:
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Bliksems!, er is een bewijs:
% 0.46/1.11 % SZS status Unsatisfiable
% 0.46/1.11 % SZS output start Refutation
% 0.46/1.11
% 0.46/1.11 clause( 0, [ ~( 'c_lessequals'( Y, U, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) )
% 0.46/1.11 , 'c_in'( X, 'c_PropLog_Othms'( 'c_minus'( U, Z, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ), T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_minus'( Y, Z, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ),
% 0.46/1.11 T ), 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 1, [ 'c_lessequals'( 'c_PropLog_Ohyps'( X, 'c_minus'( Y, 'c_insert'(
% 0.46/1.11 Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( Z, T ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', T ), 'c_minus'( 'c_PropLog_Ohyps'( X, Y, T ),
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Ovar'( Z, T ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.46/1.11 T ) ), 'tc_set'( 'tc_PropLog_Opl'( T ) ) ), 'tc_PropLog_Opl'( T ) ),
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 2, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_insert'(
% 0.46/1.11 T, 'c_minus'( X, 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), Z ), 'tc_set'( Z
% 0.46/1.11 ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 3, [ 'c_lessequals'( 'c_minus'( 'c_insert'( X, 'c_minus'( Y,
% 0.46/1.11 'c_insert'( Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), U, 'tc_set'( T )
% 0.46/1.11 ), 'c_insert'( X, 'c_minus'( Y, 'c_insert'( Z, U, T ), 'tc_set'( T ) ),
% 0.46/1.11 T ), 'tc_set'( T ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 4, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Ofalse', T ), Z,
% 0.46/1.11 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ),
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 5, [ ~( 'c_lessequals'( Y, T, 'tc_set'( 'tc_PropLog_Opl'( Z ) ) ) )
% 0.46/1.11 , 'c_in'( X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), ~(
% 0.46/1.11 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 6, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_PropLog_Ohyps'(
% 0.46/1.11 'v_p', X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a'
% 0.46/1.11 ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 7, [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', 'v_t', 't_a' ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Ovar'( 'v_v', 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 , 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 8, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( Y, 't_a' ), 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ), ~( 'c_lessequals'( 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', X,
% 0.46/1.11 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), Y, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 9, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 10, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( Y, 'v_F',
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a'
% 0.46/1.11 ) ), ~( 'c_lessequals'( 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), Y,
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 12, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 13, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 'v_p', 'c_PropLog_Othms'(
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', 't_a'
% 0.46/1.11 ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F'
% 0.46/1.11 , 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 15, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( Z, 't_a' ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_lessequals'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), Z, 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 16, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 18, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( Y
% 0.46/1.11 , 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 21, [] )
% 0.46/1.11 .
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 % SZS output end Refutation
% 0.46/1.11 found a proof!
% 0.46/1.11
% 0.46/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.11
% 0.46/1.11 initialclauses(
% 0.46/1.11 [ clause( 23, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_minus'( Y, Z, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ), T ), 'tc_PropLog_Opl'( T ) ) ), ~(
% 0.46/1.11 'c_lessequals'( Y, U, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ), 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_minus'( U, Z, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ),
% 0.46/1.11 T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.11 , clause( 24, [ 'c_lessequals'( 'c_PropLog_Ohyps'( X, 'c_minus'( Y,
% 0.46/1.11 'c_insert'( Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( Z, T ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', T ), 'c_minus'( 'c_PropLog_Ohyps'( X, Y, T ),
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Ovar'( Z, T ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.46/1.11 T ) ), 'tc_set'( 'tc_PropLog_Opl'( T ) ) ), 'tc_PropLog_Opl'( T ) ),
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 , clause( 25, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 0.46/1.11 'c_insert'( T, 'c_minus'( X, 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), Z )
% 0.46/1.11 , 'tc_set'( Z ) ) ] )
% 0.46/1.11 , clause( 26, [ 'c_lessequals'( 'c_minus'( 'c_insert'( X, 'c_minus'( Y,
% 0.46/1.11 'c_insert'( Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), U, 'tc_set'( T )
% 0.46/1.11 ), 'c_insert'( X, 'c_minus'( Y, 'c_insert'( Z, U, T ), 'tc_set'( T ) ),
% 0.46/1.11 T ), 'tc_set'( T ) ) ] )
% 0.46/1.11 , clause( 27, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z,
% 0.46/1.11 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), ~( 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( Y,
% 0.46/1.11 'c_PropLog_Opl_Ofalse', T ), Z, 'tc_PropLog_Opl'( T ) ), T ),
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ), 'c_in'( X, 'c_PropLog_Othms'( Z, T ),
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.11 , clause( 28, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.46/1.11 Z ) ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 'tc_PropLog_Opl'( Z ) ) ) ),
% 0.46/1.11 'c_in'( X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.11 , clause( 29, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 30, [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', 'v_t', 't_a' ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Ovar'( 'v_v', 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 , 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ) ] )
% 0.46/1.11 ] ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 0, [ ~( 'c_lessequals'( Y, U, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) )
% 0.46/1.11 , 'c_in'( X, 'c_PropLog_Othms'( 'c_minus'( U, Z, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ), T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_minus'( Y, Z, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ),
% 0.46/1.11 T ), 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 , clause( 23, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_minus'( Y, Z, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ), T ), 'tc_PropLog_Opl'( T ) ) ), ~(
% 0.46/1.11 'c_lessequals'( Y, U, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ), 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_minus'( U, Z, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ),
% 0.46/1.11 T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.46/1.11 , U )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 1, [ 'c_lessequals'( 'c_PropLog_Ohyps'( X, 'c_minus'( Y, 'c_insert'(
% 0.46/1.11 Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( Z, T ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', T ), 'c_minus'( 'c_PropLog_Ohyps'( X, Y, T ),
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Ovar'( Z, T ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.46/1.11 T ) ), 'tc_set'( 'tc_PropLog_Opl'( T ) ) ), 'tc_PropLog_Opl'( T ) ),
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 , clause( 24, [ 'c_lessequals'( 'c_PropLog_Ohyps'( X, 'c_minus'( Y,
% 0.46/1.11 'c_insert'( Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( Z, T ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', T ), 'c_minus'( 'c_PropLog_Ohyps'( X, Y, T ),
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Ovar'( Z, T ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.46/1.11 T ) ), 'tc_set'( 'tc_PropLog_Opl'( T ) ) ), 'tc_PropLog_Opl'( T ) ),
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 2, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_insert'(
% 0.46/1.11 T, 'c_minus'( X, 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), Z ), 'tc_set'( Z
% 0.46/1.11 ) ) ] )
% 0.46/1.11 , clause( 25, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 0.46/1.11 'c_insert'( T, 'c_minus'( X, 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), Z )
% 0.46/1.11 , 'tc_set'( Z ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 3, [ 'c_lessequals'( 'c_minus'( 'c_insert'( X, 'c_minus'( Y,
% 0.46/1.11 'c_insert'( Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), U, 'tc_set'( T )
% 0.46/1.11 ), 'c_insert'( X, 'c_minus'( Y, 'c_insert'( Z, U, T ), 'tc_set'( T ) ),
% 0.46/1.11 T ), 'tc_set'( T ) ) ] )
% 0.46/1.11 , clause( 26, [ 'c_lessequals'( 'c_minus'( 'c_insert'( X, 'c_minus'( Y,
% 0.46/1.11 'c_insert'( Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), U, 'tc_set'( T )
% 0.46/1.11 ), 'c_insert'( X, 'c_minus'( Y, 'c_insert'( Z, U, T ), 'tc_set'( T ) ),
% 0.46/1.11 T ), 'tc_set'( T ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.46/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 4, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Ofalse', T ), Z,
% 0.46/1.11 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ),
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 , clause( 27, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z,
% 0.46/1.11 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), ~( 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( Y,
% 0.46/1.11 'c_PropLog_Opl_Ofalse', T ), Z, 'tc_PropLog_Opl'( T ) ), T ),
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ), 'c_in'( X, 'c_PropLog_Othms'( Z, T ),
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 5, [ ~( 'c_lessequals'( Y, T, 'tc_set'( 'tc_PropLog_Opl'( Z ) ) ) )
% 0.46/1.11 , 'c_in'( X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), ~(
% 0.46/1.11 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.46/1.11 , clause( 28, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.46/1.11 Z ) ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 'tc_PropLog_Opl'( Z ) ) ) ),
% 0.46/1.11 'c_in'( X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 6, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_PropLog_Ohyps'(
% 0.46/1.11 'v_p', X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a'
% 0.46/1.11 ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 29, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 7, [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', 'v_t', 't_a' ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Ovar'( 'v_v', 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 , 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ) ] )
% 0.46/1.11 , clause( 30, [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', 'v_t', 't_a' ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Ovar'( 'v_v', 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 , 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ) ] )
% 0.46/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 31, [ ~( 'c_lessequals'( 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', X,
% 0.46/1.11 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), Y, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) ) ), 'c_in'( 'v_p', 'c_PropLog_Othms'( Y,
% 0.46/1.11 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 5, [ ~( 'c_lessequals'( Y, T, 'tc_set'( 'tc_PropLog_Opl'( Z ) ) )
% 0.46/1.11 ), 'c_in'( X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), ~(
% 0.46/1.11 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.46/1.11 , 2, clause( 6, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, 'v_p' ), :=( Y, 'c_minus'( 'c_PropLog_Ohyps'(
% 0.46/1.11 'v_p', X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ), :=(
% 0.46/1.11 Z, 't_a' ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 8, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( Y, 't_a' ), 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ), ~( 'c_lessequals'( 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', X,
% 0.46/1.11 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), Y, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 , clause( 31, [ ~( 'c_lessequals'( 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', X,
% 0.46/1.11 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), Y, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) ) ), 'c_in'( 'v_p', 'c_PropLog_Othms'( Y,
% 0.46/1.11 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.46/1.11 ), ==>( 1, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 32, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 8, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( Y, 't_a' ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_lessequals'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), Y, 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 , 1, clause( 2, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 0.46/1.11 'c_insert'( T, 'c_minus'( X, 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), Z )
% 0.46/1.11 , 'tc_set'( Z ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, 'c_insert'( X, 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) )] ), substitution( 1, [ :=( X,
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ) ), :=( Y, 'v_F' ), :=( Z,
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), :=( T, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 9, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 32, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 33, [ ~( 'c_lessequals'( 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), Y,
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ), 'c_in'( 'v_p',
% 0.46/1.11 'c_PropLog_Othms'( 'c_minus'( Y, 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a'
% 0.46/1.11 ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 0, [ ~( 'c_lessequals'( Y, U, 'tc_set'( 'tc_PropLog_Opl'( T ) ) )
% 0.46/1.11 ), 'c_in'( X, 'c_PropLog_Othms'( 'c_minus'( U, Z, 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ), T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_minus'( Y, Z, 'tc_set'( 'tc_PropLog_Opl'( T ) ) ),
% 0.46/1.11 T ), 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 , 2, clause( 6, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, 'v_p' ), :=( Y, 'c_PropLog_Ohyps'( 'v_p', X
% 0.46/1.11 , 't_a' ) ), :=( Z, 'v_F' ), :=( T, 't_a' ), :=( U, Y )] ),
% 0.46/1.11 substitution( 1, [ :=( X, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 10, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( Y, 'v_F',
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a'
% 0.46/1.11 ) ), ~( 'c_lessequals'( 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), Y,
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 , clause( 33, [ ~( 'c_lessequals'( 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), Y
% 0.46/1.11 , 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ), 'c_in'( 'v_p',
% 0.46/1.11 'c_PropLog_Othms'( 'c_minus'( Y, 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a'
% 0.46/1.11 ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.46/1.11 ), ==>( 1, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 34, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 10, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( Y, 'v_F',
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a'
% 0.46/1.11 ) ), ~( 'c_lessequals'( 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), Y,
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 , 1, clause( 1, [ 'c_lessequals'( 'c_PropLog_Ohyps'( X, 'c_minus'( Y,
% 0.46/1.11 'c_insert'( Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( Z, T ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', T ), 'c_minus'( 'c_PropLog_Ohyps'( X, Y, T ),
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Ovar'( Z, T ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.46/1.11 T ) ), 'tc_set'( 'tc_PropLog_Opl'( T ) ) ), 'tc_PropLog_Opl'( T ) ),
% 0.46/1.11 'tc_set'( 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset',
% 0.46/1.11 't_a' ), 'tc_set'( 't_a' ) ) ), :=( Y, 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) )] ), substitution( 1, [ :=( X, 'v_p' ), :=(
% 0.46/1.11 Y, Y ), :=( Z, X ), :=( T, 't_a' )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 12, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 34, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 36, [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y
% 0.46/1.11 , 't_a' ), 'c_insert'( X, 'v_F', 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 4, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Ofalse', T ), Z,
% 0.46/1.11 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.46/1.11 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ),
% 0.46/1.11 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.46/1.11 , 2, clause( 9, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X,
% 0.46/1.11 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, 'v_p' ), :=( Y, X ), :=( Z, 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ),
% 0.46/1.11 :=( T, 't_a' )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 13, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 'v_p', 'c_PropLog_Othms'(
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', 't_a'
% 0.46/1.11 ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F'
% 0.46/1.11 , 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.46/1.11 , clause( 36, [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y
% 0.46/1.11 , 't_a' ), 'c_insert'( X, 'v_F', 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'(
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.46/1.11 ), ==>( 1, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 37, [ ~( 'c_lessequals'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), Z, 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ), 'c_in'( 'v_p',
% 0.46/1.11 'c_PropLog_Othms'( Z, 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 5, [ ~( 'c_lessequals'( Y, T, 'tc_set'( 'tc_PropLog_Opl'( Z ) ) )
% 0.46/1.11 ), 'c_in'( X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), ~(
% 0.46/1.11 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.46/1.11 , 2, clause( 12, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, 'v_p' ), :=( Y, 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ) ), :=( Z, 't_a' ), :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.46/1.11 , Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 15, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( Z, 't_a' ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_lessequals'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), Z, 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 , clause( 37, [ ~( 'c_lessequals'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), Z, 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ), 'c_in'( 'v_p',
% 0.46/1.11 'c_PropLog_Othms'( Z, 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 38, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 15, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( Z, 't_a' ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_lessequals'( 'c_minus'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'c_emptyset',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'v_F', 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 ), Z, 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ) ) ] )
% 0.46/1.11 , 1, clause( 3, [ 'c_lessequals'( 'c_minus'( 'c_insert'( X, 'c_minus'( Y,
% 0.46/1.11 'c_insert'( Z, 'c_emptyset', T ), 'tc_set'( T ) ), T ), U, 'tc_set'( T )
% 0.46/1.11 ), 'c_insert'( X, 'c_minus'( Y, 'c_insert'( Z, U, T ), 'tc_set'( T ) ),
% 0.46/1.11 T ), 'tc_set'( T ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ) )] ), substitution( 1, [ :=( X,
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ) ), :=( Y, 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ) ), :=( Z, 'c_PropLog_Opl_Ovar'( X, 't_a' ) ), :=( T,
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), :=( U, 'v_F' )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 16, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 38, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 39, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( Y
% 0.46/1.11 , 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 13, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 'v_p', 'c_PropLog_Othms'(
% 0.46/1.11 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', 't_a'
% 0.46/1.11 ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y, 't_a' ), 'c_insert'( X, 'v_F'
% 0.46/1.11 , 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.46/1.11 , 1, clause( 16, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( X, 't_a' ),
% 0.46/1.11 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_minus'( 'c_PropLog_Ohyps'( 'v_p', Y,
% 0.46/1.11 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( X, 't_a' ), 'v_F',
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ),
% 0.46/1.11 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Ovar'( Y, 't_a' ) ), :=( Y, X
% 0.46/1.11 )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 18, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( Y
% 0.46/1.11 , 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , clause( 39, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( Y
% 0.46/1.11 , 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 resolution(
% 0.46/1.11 clause( 40, [] )
% 0.46/1.11 , clause( 7, [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', 'v_t', 't_a' ), 'c_insert'(
% 0.46/1.11 'c_PropLog_Opl_Ovar'( 'v_v', 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) )
% 0.46/1.11 , 'tc_set'( 'tc_PropLog_Opl'( 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ) ] )
% 0.46/1.11 , 0, clause( 18, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_minus'(
% 0.46/1.11 'c_PropLog_Ohyps'( 'v_p', X, 't_a' ), 'c_insert'( 'c_PropLog_Opl_Ovar'( Y
% 0.46/1.11 , 't_a' ), 'v_F', 'tc_PropLog_Opl'( 't_a' ) ), 'tc_set'( 'tc_PropLog_Opl'(
% 0.46/1.11 't_a' ) ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_t' ), :=( Y, 'v_v'
% 0.46/1.11 )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 21, [] )
% 0.46/1.11 , clause( 40, [] )
% 0.46/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 end.
% 0.46/1.11
% 0.46/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.11
% 0.46/1.11 Memory use:
% 0.46/1.11
% 0.46/1.11 space for terms: 1108
% 0.46/1.11 space for clauses: 4168
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 clauses generated: 23
% 0.46/1.11 clauses kept: 22
% 0.46/1.11 clauses selected: 18
% 0.46/1.11 clauses deleted: 0
% 0.46/1.11 clauses inuse deleted: 0
% 0.46/1.11
% 0.46/1.11 subsentry: 6
% 0.46/1.11 literals s-matched: 2
% 0.46/1.11 literals matched: 2
% 0.46/1.11 full subsumption: 0
% 0.46/1.11
% 0.46/1.11 checksum: 749224330
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Bliksem ended
%------------------------------------------------------------------------------