TSTP Solution File: LCL158-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL158-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:51:06 EDT 2022
% Result : Unsatisfiable 0.47s 1.17s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL158-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jul 2 19:33:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.47/1.17 *** allocated 10000 integers for termspace/termends
% 0.47/1.17 *** allocated 10000 integers for clauses
% 0.47/1.17 *** allocated 10000 integers for justifications
% 0.47/1.17 Bliksem 1.12
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 Automatic Strategy Selection
% 0.47/1.17
% 0.47/1.17 Clauses:
% 0.47/1.17 [
% 0.47/1.17 [ =( implies( truth, X ), X ) ],
% 0.47/1.17 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.47/1.17 ) ), truth ) ],
% 0.47/1.17 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.47/1.17 ,
% 0.47/1.17 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.47/1.17 ],
% 0.47/1.17 [ =( or( X, Y ), implies( not( X ), Y ) ) ],
% 0.47/1.17 [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ],
% 0.47/1.17 [ =( or( X, Y ), or( Y, X ) ) ],
% 0.47/1.17 [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.47/1.17 [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ],
% 0.47/1.17 [ =( and( X, Y ), and( Y, X ) ) ],
% 0.47/1.17 [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y ) ) ) ],
% 0.47/1.17 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 0.47/1.17 [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.47/1.17 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 0.47/1.17 Z ) ) ) ],
% 0.47/1.17 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 0.47/1.17 [ =( not( truth ), falsehood ) ],
% 0.47/1.17 [ ~( =( 'and_star'( xor( truth, x ), x ), falsehood ) ) ]
% 0.47/1.17 ] .
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 percentage equality = 1.000000, percentage horn = 1.000000
% 0.47/1.17 This is a pure equality problem
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 Options Used:
% 0.47/1.17
% 0.47/1.17 useres = 1
% 0.47/1.17 useparamod = 1
% 0.47/1.17 useeqrefl = 1
% 0.47/1.17 useeqfact = 1
% 0.47/1.17 usefactor = 1
% 0.47/1.17 usesimpsplitting = 0
% 0.47/1.17 usesimpdemod = 5
% 0.47/1.17 usesimpres = 3
% 0.47/1.17
% 0.47/1.17 resimpinuse = 1000
% 0.47/1.17 resimpclauses = 20000
% 0.47/1.17 substype = eqrewr
% 0.47/1.17 backwardsubs = 1
% 0.47/1.17 selectoldest = 5
% 0.47/1.17
% 0.47/1.17 litorderings [0] = split
% 0.47/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.47/1.17
% 0.47/1.17 termordering = kbo
% 0.47/1.17
% 0.47/1.17 litapriori = 0
% 0.47/1.17 termapriori = 1
% 0.47/1.17 litaposteriori = 0
% 0.47/1.17 termaposteriori = 0
% 0.47/1.17 demodaposteriori = 0
% 0.47/1.17 ordereqreflfact = 0
% 0.47/1.17
% 0.47/1.17 litselect = negord
% 0.47/1.17
% 0.47/1.17 maxweight = 15
% 0.47/1.17 maxdepth = 30000
% 0.47/1.17 maxlength = 115
% 0.47/1.17 maxnrvars = 195
% 0.47/1.17 excuselevel = 1
% 0.47/1.17 increasemaxweight = 1
% 0.47/1.17
% 0.47/1.17 maxselected = 10000000
% 0.47/1.17 maxnrclauses = 10000000
% 0.47/1.17
% 0.47/1.17 showgenerated = 0
% 0.47/1.17 showkept = 0
% 0.47/1.17 showselected = 0
% 0.47/1.17 showdeleted = 0
% 0.47/1.17 showresimp = 1
% 0.47/1.17 showstatus = 2000
% 0.47/1.17
% 0.47/1.17 prologoutput = 1
% 0.47/1.17 nrgoals = 5000000
% 0.47/1.17 totalproof = 1
% 0.47/1.17
% 0.47/1.17 Symbols occurring in the translation:
% 0.47/1.17
% 0.47/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/1.17 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.47/1.17 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.47/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.17 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.47/1.17 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.47/1.17 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.47/1.17 or [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.47/1.17 and [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.47/1.17 xor [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.47/1.17 'and_star' [48, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.47/1.17 falsehood [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.47/1.17 x [50, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 Starting Search:
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 Bliksems!, er is een bewijs:
% 0.47/1.17 % SZS status Unsatisfiable
% 0.47/1.17 % SZS output start Refutation
% 0.47/1.17
% 0.47/1.17 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.47/1.17 X, Z ) ) ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.47/1.17 ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.47/1.17 truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.47/1.17 ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 14, [ ~( =( and( xor( truth, x ), x ), falsehood ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 21, [ ~( =( and( x, xor( truth, x ) ), falsehood ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 28, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 0.47/1.17 ) ), implies( X, Y ) ), implies( X, Y ) ), implies( implies( Y, Z ),
% 0.47/1.17 implies( X, Z ) ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 29, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.47/1.17 )
% 0.47/1.17 .
% 0.47/1.17 clause( 30, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.47/1.17 , not( X ) ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 33, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 34, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 35, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.47/1.17 )
% 0.47/1.17 .
% 0.47/1.17 clause( 55, [ =( implies( X, X ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 56, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 57, [ =( or( X, not( X ) ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 59, [ =( or( not( X ), X ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 67, [ =( implies( X, truth ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 68, [ =( implies( falsehood, X ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 70, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 77, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 79, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 80, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 106, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 143, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 144, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 151, [ =( and( not( falsehood ), X ), and( truth, X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 152, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 153, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 156, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 327, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.47/1.17 falsehood ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 460, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 471, [ =( not( falsehood ), truth ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 477, [ =( or( falsehood, X ), X ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 488, [ =( or( X, not( Y ) ), implies( Y, X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 497, [ =( not( not( X ) ), X ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 503, [ =( and( not( X ), Y ), not( implies( Y, X ) ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 505, [ =( implies( Y, not( X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 506, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 525, [ =( not( and( X, Y ) ), not( and( Y, X ) ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 534, [ =( not( and( X, truth ) ), not( X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 535, [ =( not( and( truth, X ) ), not( X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 544, [ =( and( X, truth ), X ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 549, [ =( and( truth, X ), X ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 550, [ =( xor( truth, X ), not( X ) ) ] )
% 0.47/1.17 .
% 0.47/1.17 clause( 551, [] )
% 0.47/1.17 .
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 % SZS output end Refutation
% 0.47/1.17 found a proof!
% 0.47/1.17
% 0.47/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.17
% 0.47/1.17 initialclauses(
% 0.47/1.17 [ clause( 553, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , clause( 554, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.47/1.17 implies( X, Z ) ) ), truth ) ] )
% 0.47/1.17 , clause( 555, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.47/1.17 , X ) ) ] )
% 0.47/1.17 , clause( 556, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.47/1.17 ), truth ) ] )
% 0.47/1.17 , clause( 557, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.17 , clause( 558, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 0.47/1.17 , clause( 559, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.47/1.17 , clause( 560, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.17 , clause( 561, [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ] )
% 0.47/1.17 , clause( 562, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.47/1.17 , clause( 563, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.47/1.17 ) ) ] )
% 0.47/1.17 , clause( 564, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.47/1.17 , clause( 565, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ]
% 0.47/1.17 )
% 0.47/1.17 , clause( 566, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 0.47/1.17 'and_star'( Y, Z ) ) ) ] )
% 0.47/1.17 , clause( 567, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.47/1.17 , clause( 568, [ =( not( truth ), falsehood ) ] )
% 0.47/1.17 , clause( 569, [ ~( =( 'and_star'( xor( truth, x ), x ), falsehood ) ) ] )
% 0.47/1.17 ] ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , clause( 553, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.47/1.17 X, Z ) ) ), truth ) ] )
% 0.47/1.17 , clause( 554, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.47/1.17 implies( X, Z ) ) ), truth ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.47/1.17 ) ) ] )
% 0.47/1.17 , clause( 555, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.47/1.17 , X ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.47/1.17 truth ) ] )
% 0.47/1.17 , clause( 556, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.47/1.17 ), truth ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 581, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 , clause( 557, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 , clause( 581, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.47/1.17 , clause( 559, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 592, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.17 , clause( 560, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.17 , clause( 592, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.47/1.17 , clause( 562, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 607, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.47/1.17 ) ] )
% 0.47/1.17 , clause( 563, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.47/1.17 ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.47/1.17 ) ] )
% 0.47/1.17 , clause( 607, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.47/1.17 ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 632, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.47/1.17 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.17 , 0, clause( 565, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) )
% 0.47/1.17 ) ] )
% 0.47/1.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.47/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.47/1.17 , clause( 632, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.47/1.17 , clause( 568, [ =( not( truth ), falsehood ) ] )
% 0.47/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 737, [ ~( =( and( xor( truth, x ), x ), falsehood ) ) ] )
% 0.47/1.17 , clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.47/1.17 , 0, clause( 569, [ ~( =( 'and_star'( xor( truth, x ), x ), falsehood ) ) ]
% 0.47/1.17 )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, xor( truth, x ) ), :=( Y, x )] ),
% 0.47/1.17 substitution( 1, [] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 14, [ ~( =( and( xor( truth, x ), x ), falsehood ) ) ] )
% 0.47/1.17 , clause( 737, [ ~( =( and( xor( truth, x ), x ), falsehood ) ) ] )
% 0.47/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 740, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.47/1.17 , implies( X, Z ) ) ) ) ] )
% 0.47/1.17 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.47/1.17 implies( X, Z ) ) ), truth ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 744, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.47/1.17 , Y ), Y ) ) ) ] )
% 0.47/1.17 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , 0, clause( 740, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.47/1.17 , Z ), implies( X, Z ) ) ) ) ] )
% 0.47/1.17 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.47/1.17 ), :=( Y, X ), :=( Z, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 746, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.47/1.17 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , 0, clause( 744, [ =( truth, implies( implies( truth, X ), implies(
% 0.47/1.17 implies( X, Y ), Y ) ) ) ] )
% 0.47/1.17 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.17 :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 747, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.47/1.17 , clause( 746, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.47/1.17 )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.47/1.17 , clause( 747, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.47/1.17 )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 748, [ ~( =( falsehood, and( xor( truth, x ), x ) ) ) ] )
% 0.47/1.17 , clause( 14, [ ~( =( and( xor( truth, x ), x ), falsehood ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 749, [ ~( =( falsehood, and( x, xor( truth, x ) ) ) ) ] )
% 0.47/1.17 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.47/1.17 , 0, clause( 748, [ ~( =( falsehood, and( xor( truth, x ), x ) ) ) ] )
% 0.47/1.17 , 0, 3, substitution( 0, [ :=( X, xor( truth, x ) ), :=( Y, x )] ),
% 0.47/1.17 substitution( 1, [] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 752, [ ~( =( and( x, xor( truth, x ) ), falsehood ) ) ] )
% 0.47/1.17 , clause( 749, [ ~( =( falsehood, and( x, xor( truth, x ) ) ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 21, [ ~( =( and( x, xor( truth, x ) ), falsehood ) ) ] )
% 0.47/1.17 , clause( 752, [ ~( =( and( x, xor( truth, x ) ), falsehood ) ) ] )
% 0.47/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 762, [ =( implies( implies( implies( implies( X, Y ), implies( Z, Y
% 0.47/1.17 ) ), implies( Z, X ) ), implies( Z, X ) ), implies( truth, implies(
% 0.47/1.17 implies( X, Y ), implies( Z, Y ) ) ) ) ] )
% 0.47/1.17 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.47/1.17 implies( X, Z ) ) ), truth ) ] )
% 0.47/1.17 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.47/1.17 ), X ) ) ] )
% 0.47/1.17 , 0, 17, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.47/1.17 substitution( 1, [ :=( X, implies( implies( X, Y ), implies( Z, Y ) ) ),
% 0.47/1.17 :=( Y, implies( Z, X ) )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 763, [ =( implies( implies( implies( implies( X, Y ), implies( Z, Y
% 0.47/1.17 ) ), implies( Z, X ) ), implies( Z, X ) ), implies( implies( X, Y ),
% 0.47/1.17 implies( Z, Y ) ) ) ] )
% 0.47/1.17 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , 0, clause( 762, [ =( implies( implies( implies( implies( X, Y ), implies(
% 0.47/1.17 Z, Y ) ), implies( Z, X ) ), implies( Z, X ) ), implies( truth, implies(
% 0.47/1.17 implies( X, Y ), implies( Z, Y ) ) ) ) ] )
% 0.47/1.17 , 0, 16, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z, Y
% 0.47/1.17 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 28, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 0.47/1.17 ) ), implies( X, Y ) ), implies( X, Y ) ), implies( implies( Y, Z ),
% 0.47/1.17 implies( X, Z ) ) ) ] )
% 0.47/1.17 , clause( 763, [ =( implies( implies( implies( implies( X, Y ), implies( Z
% 0.47/1.17 , Y ) ), implies( Z, X ) ), implies( Z, X ) ), implies( implies( X, Y ),
% 0.47/1.17 implies( Z, Y ) ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.47/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 766, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.47/1.17 ] )
% 0.47/1.17 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.47/1.17 ), X ) ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.47/1.17 , :=( Y, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 29, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.47/1.17 )
% 0.47/1.17 , clause( 766, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.47/1.17 ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 769, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.47/1.17 , not( X ) ) ) ] )
% 0.47/1.17 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.47/1.17 ), X ) ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.47/1.17 :=( X, not( X ) ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 30, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.47/1.17 , not( X ) ) ) ] )
% 0.47/1.17 , clause( 769, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.47/1.17 ), not( X ) ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 772, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.17 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 773, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.47/1.17 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.47/1.17 , 0, clause( 772, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.17 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.47/1.17 )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 33, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.47/1.17 , clause( 773, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 775, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.47/1.17 , clause( 33, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 776, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.47/1.17 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.47/1.17 , 0, clause( 775, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.47/1.17 , 0, 4, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 0.47/1.17 , [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 779, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.47/1.17 , clause( 776, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 34, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.47/1.17 , clause( 779, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 782, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.47/1.17 )
% 0.47/1.17 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 , 0, clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 0.47/1.17 ) ), truth ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 0.47/1.17 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 35, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.47/1.17 )
% 0.47/1.17 , clause( 782, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth )
% 0.47/1.17 ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.17 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 784, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.47/1.17 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.47/1.17 )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 788, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.47/1.17 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , 0, clause( 784, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.47/1.17 ] )
% 0.47/1.17 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.47/1.17 , :=( Y, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 790, [ =( truth, implies( X, X ) ) ] )
% 0.47/1.17 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , 0, clause( 788, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.47/1.17 :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 791, [ =( implies( X, X ), truth ) ] )
% 0.47/1.17 , clause( 790, [ =( truth, implies( X, X ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 55, [ =( implies( X, X ), truth ) ] )
% 0.47/1.17 , clause( 791, [ =( implies( X, X ), truth ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 792, [ =( truth, implies( X, X ) ) ] )
% 0.47/1.17 , clause( 55, [ =( implies( X, X ), truth ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 794, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.47/1.17 , clause( 29, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.47/1.17 ] )
% 0.47/1.17 , 0, clause( 792, [ =( truth, implies( X, X ) ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.17 ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 795, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.47/1.17 , clause( 794, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 56, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.47/1.17 , clause( 795, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 796, [ =( truth, implies( X, X ) ) ] )
% 0.47/1.17 , clause( 55, [ =( implies( X, X ), truth ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 798, [ =( truth, or( X, not( X ) ) ) ] )
% 0.47/1.17 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 , 0, clause( 796, [ =( truth, implies( X, X ) ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.47/1.17 1, [ :=( X, not( X ) )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 799, [ =( or( X, not( X ) ), truth ) ] )
% 0.47/1.17 , clause( 798, [ =( truth, or( X, not( X ) ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 57, [ =( or( X, not( X ) ), truth ) ] )
% 0.47/1.17 , clause( 799, [ =( or( X, not( X ) ), truth ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 800, [ =( truth, or( X, not( X ) ) ) ] )
% 0.47/1.17 , clause( 57, [ =( or( X, not( X ) ), truth ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 801, [ =( truth, or( not( X ), X ) ) ] )
% 0.47/1.17 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.47/1.17 , 0, clause( 800, [ =( truth, or( X, not( X ) ) ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.47/1.17 1, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 804, [ =( or( not( X ), X ), truth ) ] )
% 0.47/1.17 , clause( 801, [ =( truth, or( not( X ), X ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 59, [ =( or( not( X ), X ), truth ) ] )
% 0.47/1.17 , clause( 804, [ =( or( not( X ), X ), truth ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 806, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.47/1.17 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.47/1.17 )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 807, [ =( truth, implies( X, truth ) ) ] )
% 0.47/1.17 , clause( 56, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.47/1.17 , 0, clause( 806, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.47/1.17 ] )
% 0.47/1.17 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.17 :=( Y, truth )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 809, [ =( implies( X, truth ), truth ) ] )
% 0.47/1.17 , clause( 807, [ =( truth, implies( X, truth ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 67, [ =( implies( X, truth ), truth ) ] )
% 0.47/1.17 , clause( 809, [ =( implies( X, truth ), truth ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 811, [ =( truth, implies( X, truth ) ) ] )
% 0.47/1.17 , clause( 67, [ =( implies( X, truth ), truth ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 814, [ =( truth, or( X, truth ) ) ] )
% 0.47/1.17 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.17 , 0, clause( 811, [ =( truth, implies( X, truth ) ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.47/1.17 , [ :=( X, not( X ) )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 815, [ =( truth, implies( falsehood, X ) ) ] )
% 0.47/1.17 , clause( 34, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.47/1.17 , 0, clause( 814, [ =( truth, or( X, truth ) ) ] )
% 0.47/1.17 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.17 ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 816, [ =( implies( falsehood, X ), truth ) ] )
% 0.47/1.17 , clause( 815, [ =( truth, implies( falsehood, X ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 68, [ =( implies( falsehood, X ), truth ) ] )
% 0.47/1.17 , clause( 816, [ =( implies( falsehood, X ), truth ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 820, [ =( implies( implies( X, falsehood ), falsehood ), implies(
% 0.47/1.17 truth, X ) ) ] )
% 0.47/1.17 , clause( 68, [ =( implies( falsehood, X ), truth ) ] )
% 0.47/1.17 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.47/1.17 ), X ) ) ] )
% 0.47/1.17 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.17 :=( Y, falsehood )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 821, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.47/1.17 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.17 , 0, clause( 820, [ =( implies( implies( X, falsehood ), falsehood ),
% 0.47/1.17 implies( truth, X ) ) ] )
% 0.47/1.17 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.17 ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 70, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.47/1.17 , clause( 821, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 824, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.17 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 827, [ =( and( X, not( X ) ), not( truth ) ) ] )
% 0.47/1.17 , clause( 57, [ =( or( X, not( X ) ), truth ) ] )
% 0.47/1.17 , 0, clause( 824, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.17 , 0, 6, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.47/1.17 X ), :=( Y, not( X ) )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 828, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.47/1.17 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.47/1.17 , 0, clause( 827, [ =( and( X, not( X ) ), not( truth ) ) ] )
% 0.47/1.17 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 77, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.47/1.17 , clause( 828, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 831, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.17 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 832, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 0.47/1.17 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.47/1.17 , 0, clause( 831, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.17 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.47/1.17 )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 834, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.47/1.17 , clause( 832, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ]
% 0.47/1.17 )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 79, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.47/1.17 , clause( 834, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ]
% 0.47/1.17 )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 837, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.17 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 839, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ] )
% 0.47/1.17 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.47/1.17 , 0, clause( 837, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.17 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, truth
% 0.47/1.17 )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 841, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.17 , clause( 839, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ]
% 0.47/1.17 )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 subsumption(
% 0.47/1.17 clause( 80, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.17 , clause( 841, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ]
% 0.47/1.17 )
% 0.47/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 eqswap(
% 0.47/1.17 clause( 843, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ] )
% 0.47/1.17 , clause( 70, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.47/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 paramod(
% 0.47/1.17 clause( 844, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ] )
% 0.47/1.18 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.18 , 0, clause( 843, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.47/1.18 substitution( 1, [ :=( X, not( X ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 845, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.47/1.18 , clause( 844, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 106, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.47/1.18 , clause( 845, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 847, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ] )
% 0.47/1.18 , clause( 106, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 849, [ =( not( not( falsehood ) ), implies( truth, falsehood ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , clause( 59, [ =( or( not( X ), X ), truth ) ] )
% 0.47/1.18 , 0, clause( 847, [ =( not( X ), implies( or( X, falsehood ), falsehood ) )
% 0.47/1.18 ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [ :=( X
% 0.47/1.18 , not( falsehood ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 850, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.47/1.18 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.18 , 0, clause( 849, [ =( not( not( falsehood ) ), implies( truth, falsehood )
% 0.47/1.18 ) ] )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 143, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.47/1.18 , clause( 850, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.47/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 852, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ] )
% 0.47/1.18 , clause( 106, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 853, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ] )
% 0.47/1.18 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.47/1.18 , 0, clause( 852, [ =( not( X ), implies( or( X, falsehood ), falsehood ) )
% 0.47/1.18 ] )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 856, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.47/1.18 , clause( 853, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 144, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.47/1.18 , clause( 856, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 858, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.18 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 860, [ =( and( not( falsehood ), X ), not( or( falsehood, not( X )
% 0.47/1.18 ) ) ) ] )
% 0.47/1.18 , clause( 143, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.47/1.18 , 0, clause( 858, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.18 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, not( falsehood ) )
% 0.47/1.18 , :=( Y, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 862, [ =( and( not( falsehood ), X ), and( truth, X ) ) ] )
% 0.47/1.18 , clause( 79, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.47/1.18 , 0, clause( 860, [ =( and( not( falsehood ), X ), not( or( falsehood, not(
% 0.47/1.18 X ) ) ) ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 151, [ =( and( not( falsehood ), X ), and( truth, X ) ) ] )
% 0.47/1.18 , clause( 862, [ =( and( not( falsehood ), X ), and( truth, X ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 865, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.18 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 868, [ =( and( X, not( falsehood ) ), not( or( not( X ), falsehood
% 0.47/1.18 ) ) ) ] )
% 0.47/1.18 , clause( 143, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.47/1.18 , 0, clause( 865, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.18 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, not(
% 0.47/1.18 falsehood ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 869, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.18 , clause( 80, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.18 , 0, clause( 868, [ =( and( X, not( falsehood ) ), not( or( not( X ),
% 0.47/1.18 falsehood ) ) ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 152, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.18 , clause( 869, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 872, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.18 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 874, [ =( or( not( falsehood ), X ), implies( falsehood, X ) ) ] )
% 0.47/1.18 , clause( 143, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.47/1.18 , 0, clause( 872, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.18 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, not( falsehood ) )
% 0.47/1.18 , :=( Y, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 875, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.47/1.18 , clause( 68, [ =( implies( falsehood, X ), truth ) ] )
% 0.47/1.18 , 0, clause( 874, [ =( or( not( falsehood ), X ), implies( falsehood, X ) )
% 0.47/1.18 ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 153, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.47/1.18 , clause( 875, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 877, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.47/1.18 , clause( 153, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 878, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.47/1.18 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.47/1.18 , 0, clause( 877, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, not( falsehood ) ), :=( Y, X )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 881, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.47/1.18 , clause( 878, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 156, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.47/1.18 , clause( 881, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 883, [ =( implies( implies( Y, not( X ) ), not( X ) ), implies( or(
% 0.47/1.18 X, Y ), Y ) ) ] )
% 0.47/1.18 , clause( 30, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.47/1.18 ), not( X ) ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 886, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.47/1.18 ), implies( truth, not( falsehood ) ) ) ] )
% 0.47/1.18 , clause( 156, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.47/1.18 , 0, clause( 883, [ =( implies( implies( Y, not( X ) ), not( X ) ), implies(
% 0.47/1.18 or( X, Y ), Y ) ) ] )
% 0.47/1.18 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.18 :=( Y, not( falsehood ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 887, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.47/1.18 ), not( falsehood ) ) ] )
% 0.47/1.18 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.18 , 0, clause( 886, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.47/1.18 X ) ), implies( truth, not( falsehood ) ) ) ] )
% 0.47/1.18 , 0, 9, substitution( 0, [ :=( X, not( falsehood ) )] ), substitution( 1, [
% 0.47/1.18 :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 888, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.47/1.18 falsehood ) ) ] )
% 0.47/1.18 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.18 , 0, clause( 887, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.47/1.18 X ) ), not( falsehood ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 327, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.47/1.18 falsehood ) ) ] )
% 0.47/1.18 , clause( 888, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.47/1.18 falsehood ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 891, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X ) ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , clause( 35, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 893, [ =( truth, implies( truth, implies( X, not( falsehood ) ) ) )
% 0.47/1.18 ] )
% 0.47/1.18 , clause( 153, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.47/1.18 , 0, clause( 891, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X ) )
% 0.47/1.18 ) ] )
% 0.47/1.18 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.47/1.18 not( falsehood ) ), :=( Y, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 894, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.47/1.18 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.18 , 0, clause( 893, [ =( truth, implies( truth, implies( X, not( falsehood )
% 0.47/1.18 ) ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, implies( X, not( falsehood ) ) )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 895, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.47/1.18 , clause( 894, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 460, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.47/1.18 , clause( 895, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 896, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.47/1.18 , clause( 460, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 901, [ =( truth, implies( implies( not( falsehood ), not( X ) ),
% 0.47/1.18 not( X ) ) ) ] )
% 0.47/1.18 , clause( 30, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.47/1.18 ), not( X ) ) ) ] )
% 0.47/1.18 , 0, clause( 896, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( falsehood ) )] ),
% 0.47/1.18 substitution( 1, [ :=( X, or( X, not( falsehood ) ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 902, [ =( truth, implies( or( falsehood, not( X ) ), not( X ) ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.18 , 0, clause( 901, [ =( truth, implies( implies( not( falsehood ), not( X )
% 0.47/1.18 ), not( X ) ) ) ] )
% 0.47/1.18 , 0, 3, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 903, [ =( truth, not( falsehood ) ) ] )
% 0.47/1.18 , clause( 327, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.47/1.18 falsehood ) ) ] )
% 0.47/1.18 , 0, clause( 902, [ =( truth, implies( or( falsehood, not( X ) ), not( X )
% 0.47/1.18 ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 904, [ =( not( falsehood ), truth ) ] )
% 0.47/1.18 , clause( 903, [ =( truth, not( falsehood ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 471, [ =( not( falsehood ), truth ) ] )
% 0.47/1.18 , clause( 904, [ =( not( falsehood ), truth ) ] )
% 0.47/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 906, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.18 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 908, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.47/1.18 , clause( 471, [ =( not( falsehood ), truth ) ] )
% 0.47/1.18 , 0, clause( 906, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, falsehood ), :=( Y
% 0.47/1.18 , X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 909, [ =( or( falsehood, X ), X ) ] )
% 0.47/1.18 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.18 , 0, clause( 908, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 477, [ =( or( falsehood, X ), X ) ] )
% 0.47/1.18 , clause( 909, [ =( or( falsehood, X ), X ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 912, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ] )
% 0.47/1.18 , clause( 144, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 913, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.47/1.18 , clause( 477, [ =( or( falsehood, X ), X ) ] )
% 0.47/1.18 , 0, clause( 912, [ =( not( X ), implies( or( falsehood, X ), falsehood ) )
% 0.47/1.18 ] )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 914, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , clause( 913, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , clause( 914, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 916, [ =( implies( implies( X, Y ), implies( Z, Y ) ), implies(
% 0.47/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Z, X ) ),
% 0.47/1.18 implies( Z, X ) ) ) ] )
% 0.47/1.18 , clause( 28, [ =( implies( implies( implies( implies( Y, Z ), implies( X,
% 0.47/1.18 Z ) ), implies( X, Y ) ), implies( X, Y ) ), implies( implies( Y, Z ),
% 0.47/1.18 implies( X, Z ) ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 924, [ =( implies( implies( X, falsehood ), implies( Y, falsehood )
% 0.47/1.18 ), implies( implies( implies( implies( X, falsehood ), not( Y ) ),
% 0.47/1.18 implies( Y, X ) ), implies( Y, X ) ) ) ] )
% 0.47/1.18 , clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 916, [ =( implies( implies( X, Y ), implies( Z, Y ) ), implies(
% 0.47/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Z, X ) ),
% 0.47/1.18 implies( Z, X ) ) ) ] )
% 0.47/1.18 , 0, 14, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.18 :=( Y, falsehood ), :=( Z, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 929, [ =( implies( implies( X, falsehood ), implies( Y, falsehood )
% 0.47/1.18 ), implies( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.47/1.18 implies( Y, X ) ) ) ] )
% 0.47/1.18 , clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 924, [ =( implies( implies( X, falsehood ), implies( Y,
% 0.47/1.18 falsehood ) ), implies( implies( implies( implies( X, falsehood ), not( Y
% 0.47/1.18 ) ), implies( Y, X ) ), implies( Y, X ) ) ) ] )
% 0.47/1.18 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.18 :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 934, [ =( implies( not( X ), implies( Y, falsehood ) ), implies(
% 0.47/1.18 implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), implies( Y, X
% 0.47/1.18 ) ) ) ] )
% 0.47/1.18 , clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 929, [ =( implies( implies( X, falsehood ), implies( Y,
% 0.47/1.18 falsehood ) ), implies( implies( implies( not( X ), not( Y ) ), implies(
% 0.47/1.18 Y, X ) ), implies( Y, X ) ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.18 :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 959, [ =( implies( not( X ), implies( Y, falsehood ) ), implies(
% 0.47/1.18 implies( or( X, not( Y ) ), implies( Y, X ) ), implies( Y, X ) ) ) ] )
% 0.47/1.18 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.18 , 0, clause( 934, [ =( implies( not( X ), implies( Y, falsehood ) ),
% 0.47/1.18 implies( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.47/1.18 implies( Y, X ) ) ) ] )
% 0.47/1.18 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 0.47/1.18 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 960, [ =( or( X, implies( Y, falsehood ) ), implies( implies( or( X
% 0.47/1.18 , not( Y ) ), implies( Y, X ) ), implies( Y, X ) ) ) ] )
% 0.47/1.18 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.18 , 0, clause( 959, [ =( implies( not( X ), implies( Y, falsehood ) ),
% 0.47/1.18 implies( implies( or( X, not( Y ) ), implies( Y, X ) ), implies( Y, X ) )
% 0.47/1.18 ) ] )
% 0.47/1.18 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, falsehood ) )] )
% 0.47/1.18 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 965, [ =( or( X, not( Y ) ), implies( implies( or( X, not( Y ) ),
% 0.47/1.18 implies( Y, X ) ), implies( Y, X ) ) ) ] )
% 0.47/1.18 , clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 960, [ =( or( X, implies( Y, falsehood ) ), implies( implies(
% 0.47/1.18 or( X, not( Y ) ), implies( Y, X ) ), implies( Y, X ) ) ) ] )
% 0.47/1.18 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.18 :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 966, [ =( or( X, not( Y ) ), implies( truth, implies( Y, X ) ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , clause( 35, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, clause( 965, [ =( or( X, not( Y ) ), implies( implies( or( X, not( Y )
% 0.47/1.18 ), implies( Y, X ) ), implies( Y, X ) ) ) ] )
% 0.47/1.18 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.47/1.18 :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 967, [ =( or( X, not( Y ) ), implies( Y, X ) ) ] )
% 0.47/1.18 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.47/1.18 , 0, clause( 966, [ =( or( X, not( Y ) ), implies( truth, implies( Y, X ) )
% 0.47/1.18 ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, implies( Y, X ) )] ), substitution( 1, [
% 0.47/1.18 :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 488, [ =( or( X, not( Y ) ), implies( Y, X ) ) ] )
% 0.47/1.18 , clause( 967, [ =( or( X, not( Y ) ), implies( Y, X ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.18 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 969, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.47/1.18 , clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 972, [ =( not( implies( X, falsehood ) ), X ) ] )
% 0.47/1.18 , clause( 70, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.47/1.18 , 0, clause( 969, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.47/1.18 X, falsehood ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 973, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 972, [ =( not( implies( X, falsehood ) ), X ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 497, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , clause( 973, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 976, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.18 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 981, [ =( and( not( X ), Y ), not( or( X, not( Y ) ) ) ) ] )
% 0.47/1.18 , clause( 497, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , 0, clause( 976, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.47/1.18 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.47/1.18 ) ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 983, [ =( and( not( X ), Y ), not( implies( Y, X ) ) ) ] )
% 0.47/1.18 , clause( 488, [ =( or( X, not( Y ) ), implies( Y, X ) ) ] )
% 0.47/1.18 , 0, clause( 981, [ =( and( not( X ), Y ), not( or( X, not( Y ) ) ) ) ] )
% 0.47/1.18 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.47/1.18 :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 503, [ =( and( not( X ), Y ), not( implies( Y, X ) ) ) ] )
% 0.47/1.18 , clause( 983, [ =( and( not( X ), Y ), not( implies( Y, X ) ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.18 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 986, [ =( X, not( not( X ) ) ) ] )
% 0.47/1.18 , clause( 497, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 992, [ =( or( not( X ), not( Y ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.47/1.18 , 0, clause( 986, [ =( X, not( not( X ) ) ) ] )
% 0.47/1.18 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.47/1.18 :=( X, or( not( X ), not( Y ) ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 993, [ =( implies( Y, not( X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , clause( 488, [ =( or( X, not( Y ) ), implies( Y, X ) ) ] )
% 0.47/1.18 , 0, clause( 992, [ =( or( not( X ), not( Y ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , 0, 1, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y )] ), substitution(
% 0.47/1.18 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 505, [ =( implies( Y, not( X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , clause( 993, [ =( implies( Y, not( X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.18 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 996, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.18 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 997, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.47/1.18 , clause( 497, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , 0, clause( 996, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.47/1.18 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.47/1.18 ) ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 506, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.47/1.18 , clause( 997, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.18 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 999, [ =( implies( Y, X ), or( X, not( Y ) ) ) ] )
% 0.47/1.18 , clause( 488, [ =( or( X, not( Y ) ), implies( Y, X ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1003, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 0.47/1.18 , clause( 506, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.47/1.18 , 0, clause( 999, [ =( implies( Y, X ), or( X, not( Y ) ) ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ), substitution(
% 0.47/1.18 1, [ :=( X, not( Y ) ), :=( Y, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1005, [ =( implies( X, not( Y ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , clause( 505, [ =( implies( Y, not( X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , 0, clause( 1003, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.47/1.18 :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1007, [ =( not( and( Y, X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , clause( 505, [ =( implies( Y, not( X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , 0, clause( 1005, [ =( implies( X, not( Y ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.47/1.18 :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 525, [ =( not( and( X, Y ) ), not( and( Y, X ) ) ) ] )
% 0.47/1.18 , clause( 1007, [ =( not( and( Y, X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.18 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1013, [ =( not( and( not( falsehood ), X ) ), not( and( X, truth )
% 0.47/1.18 ) ) ] )
% 0.47/1.18 , clause( 152, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.18 , 0, clause( 525, [ =( not( and( X, Y ) ), not( and( Y, X ) ) ) ] )
% 0.47/1.18 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not(
% 0.47/1.18 falsehood ) ), :=( Y, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1014, [ =( not( not( implies( X, falsehood ) ) ), not( and( X,
% 0.47/1.18 truth ) ) ) ] )
% 0.47/1.18 , clause( 503, [ =( and( not( X ), Y ), not( implies( Y, X ) ) ) ] )
% 0.47/1.18 , 0, clause( 1013, [ =( not( and( not( falsehood ), X ) ), not( and( X,
% 0.47/1.18 truth ) ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1015, [ =( implies( X, falsehood ), not( and( X, truth ) ) ) ] )
% 0.47/1.18 , clause( 497, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , 0, clause( 1014, [ =( not( not( implies( X, falsehood ) ) ), not( and( X
% 0.47/1.18 , truth ) ) ) ] )
% 0.47/1.18 , 0, 1, substitution( 0, [ :=( X, implies( X, falsehood ) )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1016, [ =( not( X ), not( and( X, truth ) ) ) ] )
% 0.47/1.18 , clause( 482, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 1015, [ =( implies( X, falsehood ), not( and( X, truth ) ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 1017, [ =( not( and( X, truth ) ), not( X ) ) ] )
% 0.47/1.18 , clause( 1016, [ =( not( X ), not( and( X, truth ) ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 534, [ =( not( and( X, truth ) ), not( X ) ) ] )
% 0.47/1.18 , clause( 1017, [ =( not( and( X, truth ) ), not( X ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1022, [ =( not( and( X, not( falsehood ) ) ), not( and( truth, X )
% 0.47/1.18 ) ) ] )
% 0.47/1.18 , clause( 151, [ =( and( not( falsehood ), X ), and( truth, X ) ) ] )
% 0.47/1.18 , 0, clause( 525, [ =( not( and( X, Y ) ), not( and( Y, X ) ) ) ] )
% 0.47/1.18 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.18 :=( Y, not( falsehood ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1023, [ =( not( and( X, truth ) ), not( and( truth, X ) ) ) ] )
% 0.47/1.18 , clause( 152, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.47/1.18 , 0, clause( 1022, [ =( not( and( X, not( falsehood ) ) ), not( and( truth
% 0.47/1.18 , X ) ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1024, [ =( not( X ), not( and( truth, X ) ) ) ] )
% 0.47/1.18 , clause( 534, [ =( not( and( X, truth ) ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 1023, [ =( not( and( X, truth ) ), not( and( truth, X ) ) ) ]
% 0.47/1.18 )
% 0.47/1.18 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 1025, [ =( not( and( truth, X ) ), not( X ) ) ] )
% 0.47/1.18 , clause( 1024, [ =( not( X ), not( and( truth, X ) ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 535, [ =( not( and( truth, X ) ), not( X ) ) ] )
% 0.47/1.18 , clause( 1025, [ =( not( and( truth, X ) ), not( X ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 1027, [ =( X, not( not( X ) ) ) ] )
% 0.47/1.18 , clause( 497, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1030, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.47/1.18 , clause( 534, [ =( not( and( X, truth ) ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 1027, [ =( X, not( not( X ) ) ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and( X
% 0.47/1.18 , truth ) )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1031, [ =( and( X, truth ), X ) ] )
% 0.47/1.18 , clause( 497, [ =( not( not( X ) ), X ) ] )
% 0.47/1.18 , 0, clause( 1030, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 544, [ =( and( X, truth ), X ) ] )
% 0.47/1.18 , clause( 1031, [ =( and( X, truth ), X ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 1033, [ =( X, and( X, truth ) ) ] )
% 0.47/1.18 , clause( 544, [ =( and( X, truth ), X ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1034, [ =( X, and( truth, X ) ) ] )
% 0.47/1.18 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.47/1.18 , 0, clause( 1033, [ =( X, and( X, truth ) ) ] )
% 0.47/1.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.47/1.18 , [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 1037, [ =( and( truth, X ), X ) ] )
% 0.47/1.18 , clause( 1034, [ =( X, and( truth, X ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 549, [ =( and( truth, X ), X ) ] )
% 0.47/1.18 , clause( 1037, [ =( and( truth, X ), X ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 1039, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.47/1.18 ) ) ] )
% 0.47/1.18 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.47/1.18 ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1045, [ =( xor( truth, X ), or( not( X ), and( not( truth ), X ) )
% 0.47/1.18 ) ] )
% 0.47/1.18 , clause( 549, [ =( and( truth, X ), X ) ] )
% 0.47/1.18 , 0, clause( 1039, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 0.47/1.18 , Y ) ) ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.47/1.18 truth ), :=( Y, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1046, [ =( xor( truth, X ), implies( X, and( not( truth ), X ) ) )
% 0.47/1.18 ] )
% 0.47/1.18 , clause( 506, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 0.47/1.18 , 0, clause( 1045, [ =( xor( truth, X ), or( not( X ), and( not( truth ), X
% 0.47/1.18 ) ) ) ] )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, and( not( truth ), X ) )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1047, [ =( xor( truth, X ), implies( X, not( implies( X, truth ) )
% 0.47/1.18 ) ) ] )
% 0.47/1.18 , clause( 503, [ =( and( not( X ), Y ), not( implies( Y, X ) ) ) ] )
% 0.47/1.18 , 0, clause( 1046, [ =( xor( truth, X ), implies( X, and( not( truth ), X )
% 0.47/1.18 ) ) ] )
% 0.47/1.18 , 0, 6, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 0.47/1.18 , [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1048, [ =( xor( truth, X ), not( and( implies( X, truth ), X ) ) )
% 0.47/1.18 ] )
% 0.47/1.18 , clause( 505, [ =( implies( Y, not( X ) ), not( and( X, Y ) ) ) ] )
% 0.47/1.18 , 0, clause( 1047, [ =( xor( truth, X ), implies( X, not( implies( X, truth
% 0.47/1.18 ) ) ) ) ] )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, implies( X, truth ) ), :=( Y, X )] ),
% 0.47/1.18 substitution( 1, [ :=( X, X )] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1049, [ =( xor( truth, X ), not( and( truth, X ) ) ) ] )
% 0.47/1.18 , clause( 67, [ =( implies( X, truth ), truth ) ] )
% 0.47/1.18 , 0, clause( 1048, [ =( xor( truth, X ), not( and( implies( X, truth ), X )
% 0.47/1.18 ) ) ] )
% 0.47/1.18 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1050, [ =( xor( truth, X ), not( X ) ) ] )
% 0.47/1.18 , clause( 535, [ =( not( and( truth, X ) ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 1049, [ =( xor( truth, X ), not( and( truth, X ) ) ) ] )
% 0.47/1.18 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.18 ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 550, [ =( xor( truth, X ), not( X ) ) ] )
% 0.47/1.18 , clause( 1050, [ =( xor( truth, X ), not( X ) ) ] )
% 0.47/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqswap(
% 0.47/1.18 clause( 1053, [ ~( =( falsehood, and( x, xor( truth, x ) ) ) ) ] )
% 0.47/1.18 , clause( 21, [ ~( =( and( x, xor( truth, x ) ), falsehood ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1055, [ ~( =( falsehood, and( x, not( x ) ) ) ) ] )
% 0.47/1.18 , clause( 550, [ =( xor( truth, X ), not( X ) ) ] )
% 0.47/1.18 , 0, clause( 1053, [ ~( =( falsehood, and( x, xor( truth, x ) ) ) ) ] )
% 0.47/1.18 , 0, 5, substitution( 0, [ :=( X, x )] ), substitution( 1, [] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 paramod(
% 0.47/1.18 clause( 1056, [ ~( =( falsehood, falsehood ) ) ] )
% 0.47/1.18 , clause( 77, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.47/1.18 , 0, clause( 1055, [ ~( =( falsehood, and( x, not( x ) ) ) ) ] )
% 0.47/1.18 , 0, 3, substitution( 0, [ :=( X, x )] ), substitution( 1, [] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 eqrefl(
% 0.47/1.18 clause( 1057, [] )
% 0.47/1.18 , clause( 1056, [ ~( =( falsehood, falsehood ) ) ] )
% 0.47/1.18 , 0, substitution( 0, [] )).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 subsumption(
% 0.47/1.18 clause( 551, [] )
% 0.47/1.18 , clause( 1057, [] )
% 0.47/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 end.
% 0.47/1.18
% 0.47/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.18
% 0.47/1.18 Memory use:
% 0.47/1.18
% 0.47/1.18 space for terms: 6635
% 0.47/1.18 space for clauses: 60078
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 clauses generated: 4311
% 0.47/1.18 clauses kept: 552
% 0.47/1.18 clauses selected: 112
% 0.47/1.18 clauses deleted: 28
% 0.47/1.18 clauses inuse deleted: 0
% 0.47/1.18
% 0.47/1.18 subsentry: 2504
% 0.47/1.18 literals s-matched: 669
% 0.47/1.18 literals matched: 659
% 0.47/1.18 full subsumption: 0
% 0.47/1.18
% 0.47/1.18 checksum: 587578175
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 Bliksem ended
%------------------------------------------------------------------------------