TSTP Solution File: LCL109-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL109-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:50:28 EDT 2022
% Result : Unsatisfiable 1.32s 1.69s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL109-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 03:45:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.32/1.69 *** allocated 10000 integers for termspace/termends
% 1.32/1.69 *** allocated 10000 integers for clauses
% 1.32/1.69 *** allocated 10000 integers for justifications
% 1.32/1.69 Bliksem 1.12
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 Automatic Strategy Selection
% 1.32/1.69
% 1.32/1.69 Clauses:
% 1.32/1.69 [
% 1.32/1.69 [ =( not( X ), xor( X, truth ) ) ],
% 1.32/1.69 [ =( xor( X, falsehood ), X ) ],
% 1.32/1.69 [ =( xor( X, X ), falsehood ) ],
% 1.32/1.69 [ =( 'and_star'( X, truth ), X ) ],
% 1.32/1.69 [ =( 'and_star'( X, falsehood ), falsehood ) ],
% 1.32/1.69 [ =( 'and_star'( xor( truth, X ), X ), falsehood ) ],
% 1.32/1.69 [ =( xor( X, xor( truth, Y ) ), xor( xor( X, truth ), Y ) ) ],
% 1.32/1.69 [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ), truth ), Y ),
% 1.32/1.69 'and_star'( xor( 'and_star'( xor( truth, Y ), X ), truth ), X ) ) ],
% 1.32/1.69 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 1.32/1.69 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 1.32/1.69 Z ) ) ) ],
% 1.32/1.69 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 1.32/1.69 [ =( not( truth ), falsehood ) ],
% 1.32/1.69 [ =( implies( X, Y ), xor( truth, 'and_star'( X, xor( truth, Y ) ) ) ) ]
% 1.32/1.69 ,
% 1.32/1.69 [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ), implies( b
% 1.32/1.69 , a ) ), truth ) ) ]
% 1.32/1.69 ] .
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 percentage equality = 1.000000, percentage horn = 1.000000
% 1.32/1.69 This is a pure equality problem
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 Options Used:
% 1.32/1.69
% 1.32/1.69 useres = 1
% 1.32/1.69 useparamod = 1
% 1.32/1.69 useeqrefl = 1
% 1.32/1.69 useeqfact = 1
% 1.32/1.69 usefactor = 1
% 1.32/1.69 usesimpsplitting = 0
% 1.32/1.69 usesimpdemod = 5
% 1.32/1.69 usesimpres = 3
% 1.32/1.69
% 1.32/1.69 resimpinuse = 1000
% 1.32/1.69 resimpclauses = 20000
% 1.32/1.69 substype = eqrewr
% 1.32/1.69 backwardsubs = 1
% 1.32/1.69 selectoldest = 5
% 1.32/1.69
% 1.32/1.69 litorderings [0] = split
% 1.32/1.69 litorderings [1] = extend the termordering, first sorting on arguments
% 1.32/1.69
% 1.32/1.69 termordering = kbo
% 1.32/1.69
% 1.32/1.69 litapriori = 0
% 1.32/1.69 termapriori = 1
% 1.32/1.69 litaposteriori = 0
% 1.32/1.69 termaposteriori = 0
% 1.32/1.69 demodaposteriori = 0
% 1.32/1.69 ordereqreflfact = 0
% 1.32/1.69
% 1.32/1.69 litselect = negord
% 1.32/1.69
% 1.32/1.69 maxweight = 15
% 1.32/1.69 maxdepth = 30000
% 1.32/1.69 maxlength = 115
% 1.32/1.69 maxnrvars = 195
% 1.32/1.69 excuselevel = 1
% 1.32/1.69 increasemaxweight = 1
% 1.32/1.69
% 1.32/1.69 maxselected = 10000000
% 1.32/1.69 maxnrclauses = 10000000
% 1.32/1.69
% 1.32/1.69 showgenerated = 0
% 1.32/1.69 showkept = 0
% 1.32/1.69 showselected = 0
% 1.32/1.69 showdeleted = 0
% 1.32/1.69 showresimp = 1
% 1.32/1.69 showstatus = 2000
% 1.32/1.69
% 1.32/1.69 prologoutput = 1
% 1.32/1.69 nrgoals = 5000000
% 1.32/1.69 totalproof = 1
% 1.32/1.69
% 1.32/1.69 Symbols occurring in the translation:
% 1.32/1.69
% 1.32/1.69 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.32/1.69 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 1.32/1.69 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 1.32/1.69 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.32/1.69 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.32/1.69 not [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.32/1.69 truth [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.32/1.69 xor [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.32/1.69 falsehood [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.32/1.69 'and_star' [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.32/1.69 implies [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.32/1.69 a [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.32/1.69 b [49, 0] (w:1, o:15, a:1, s:1, b:0).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 Starting Search:
% 1.32/1.69
% 1.32/1.69 Resimplifying inuse:
% 1.32/1.69 Done
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 Bliksems!, er is een bewijs:
% 1.32/1.69 % SZS status Unsatisfiable
% 1.32/1.69 % SZS output start Refutation
% 1.32/1.69
% 1.32/1.69 clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 1, [ =( xor( X, falsehood ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 3, [ =( 'and_star'( X, truth ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 4, [ =( 'and_star'( X, falsehood ), falsehood ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 5, [ =( 'and_star'( xor( truth, X ), X ), falsehood ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 6, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 7, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 8, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'( 'and_star'(
% 1.32/1.69 X, Y ), Z ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 11, [ =( not( truth ), falsehood ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 12, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ), implies( X
% 1.32/1.69 , Y ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 13, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 1.32/1.69 implies( b, a ) ), truth ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 14, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 15, [ =( 'and_star'( falsehood, X ), falsehood ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 17, [ =( xor( falsehood, X ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 18, [ =( 'and_star'( not( X ), X ), falsehood ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 19, [ =( not( falsehood ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 20, [ =( 'and_star'( X, not( X ) ), falsehood ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 21, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 24, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 25, [ =( 'and_star'( 'and_star'( Y, X ), not( X ) ), falsehood ) ]
% 1.32/1.69 )
% 1.32/1.69 .
% 1.32/1.69 clause( 27, [ =( 'and_star'( 'and_star'( Y, not( X ) ), X ), falsehood ) ]
% 1.32/1.69 )
% 1.32/1.69 .
% 1.32/1.69 clause( 28, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( Y, Z ), X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 29, [ =( 'and_star'( 'and_star'( Z, Y ), X ), 'and_star'(
% 1.32/1.69 'and_star'( Z, X ), Y ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 31, [ =( 'and_star'( 'and_star'( not( Y ), X ), Y ), falsehood ) ]
% 1.32/1.69 )
% 1.32/1.69 .
% 1.32/1.69 clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 42, [ =( implies( 'and_star'( X, Y ), Y ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 44, [ =( implies( 'and_star'( X, Y ), X ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 51, [ =( not( implies( 'and_star'( implies( X, Y ), X ), Y ) ),
% 1.32/1.69 falsehood ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 53, [ =( implies( falsehood, X ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 54, [ =( implies( truth, X ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X,
% 1.32/1.69 Y ), X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 76, [ =( implies( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 X, Y ) ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y )
% 1.32/1.69 , Z ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 79, [ =( implies( 'and_star'( Y, X ), Z ), implies( 'and_star'( X,
% 1.32/1.69 Y ), Z ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 91, [ =( 'and_star'( 'and_star'( Z, X ), Y ), 'and_star'(
% 1.32/1.69 'and_star'( X, Z ), Y ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 119, [ =( implies( 'and_star'( implies( X, Y ), X ), Y ), truth ) ]
% 1.32/1.69 )
% 1.32/1.69 .
% 1.32/1.69 clause( 124, [ =( implies( 'and_star'( X, implies( X, Y ) ), Y ), truth ) ]
% 1.32/1.69 )
% 1.32/1.69 .
% 1.32/1.69 clause( 128, [ =( implies( 'and_star'( 'and_star'( Y, X ), implies(
% 1.32/1.69 'and_star'( X, Y ), Z ) ), Z ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 145, [ ~( =( implies( 'and_star'( implies( 'and_star'( implies( a,
% 1.32/1.69 b ), b ), a ), b ), a ), truth ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 149, [ =( implies( 'and_star'( 'and_star'( implies( 'and_star'( Y,
% 1.32/1.69 X ), Z ), X ), Y ), Z ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 194, [ =( 'and_star'( implies( implies( Y, X ), X ), implies( Y, X
% 1.32/1.69 ) ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 197, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 1.32/1.69 X ), Y ), X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 199, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( X, implies(
% 1.32/1.69 X, Y ) ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 221, [ =( 'and_star'( implies( Y, X ), implies( implies( Y, X ), X
% 1.32/1.69 ) ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 296, [ =( implies( 'and_star'( Y, Z ), 'and_star'( Z, implies( X, Y
% 1.32/1.69 ) ) ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 327, [ =( implies( 'and_star'( implies( implies( Y, Z ), X ), Z ),
% 1.32/1.69 X ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 527, [ =( implies( implies( implies( X, Y ), Y ), X ), implies( Y,
% 1.32/1.69 X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 555, [ =( implies( implies( X, Y ), 'and_star'( implies( Y, X ), Y
% 1.32/1.69 ) ), X ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 559, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 1.32/1.69 X ) ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 572, [ =( 'and_star'( implies( X, Y ), implies( implies( Y, X ), X
% 1.32/1.69 ) ), Y ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 637, [ =( implies( 'and_star'( 'and_star'( implies( X, Z ), implies(
% 1.32/1.69 Y, X ) ), Y ), Z ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 1173, [ =( implies( 'and_star'( 'and_star'( Z, implies( X, Y ) ),
% 1.32/1.69 implies( Z, X ) ), Y ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 1204, [ =( implies( 'and_star'( Y, implies( 'and_star'( implies( X
% 1.32/1.69 , Y ), Y ), X ) ), X ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 1290, [ =( implies( 'and_star'( implies( 'and_star'( implies( Y, X
% 1.32/1.69 ), X ), Y ), X ), Y ), truth ) ] )
% 1.32/1.69 .
% 1.32/1.69 clause( 1294, [] )
% 1.32/1.69 .
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 % SZS output end Refutation
% 1.32/1.69 found a proof!
% 1.32/1.69
% 1.32/1.69 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.32/1.69
% 1.32/1.69 initialclauses(
% 1.32/1.69 [ clause( 1296, [ =( not( X ), xor( X, truth ) ) ] )
% 1.32/1.69 , clause( 1297, [ =( xor( X, falsehood ), X ) ] )
% 1.32/1.69 , clause( 1298, [ =( xor( X, X ), falsehood ) ] )
% 1.32/1.69 , clause( 1299, [ =( 'and_star'( X, truth ), X ) ] )
% 1.32/1.69 , clause( 1300, [ =( 'and_star'( X, falsehood ), falsehood ) ] )
% 1.32/1.69 , clause( 1301, [ =( 'and_star'( xor( truth, X ), X ), falsehood ) ] )
% 1.32/1.69 , clause( 1302, [ =( xor( X, xor( truth, Y ) ), xor( xor( X, truth ), Y ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 1303, [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ),
% 1.32/1.69 truth ), Y ), 'and_star'( xor( 'and_star'( xor( truth, Y ), X ), truth )
% 1.32/1.69 , X ) ) ] )
% 1.32/1.69 , clause( 1304, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.32/1.69 , clause( 1305, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 1.32/1.69 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , clause( 1306, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , clause( 1307, [ =( not( truth ), falsehood ) ] )
% 1.32/1.69 , clause( 1308, [ =( implies( X, Y ), xor( truth, 'and_star'( X, xor( truth
% 1.32/1.69 , Y ) ) ) ) ] )
% 1.32/1.69 , clause( 1309, [ ~( =( implies( implies( implies( a, b ), implies( b, a )
% 1.32/1.69 ), implies( b, a ) ), truth ) ) ] )
% 1.32/1.69 ] ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1310, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 , clause( 1296, [ =( not( X ), xor( X, truth ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 , clause( 1310, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 1, [ =( xor( X, falsehood ), X ) ] )
% 1.32/1.69 , clause( 1297, [ =( xor( X, falsehood ), X ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 3, [ =( 'and_star'( X, truth ), X ) ] )
% 1.32/1.69 , clause( 1299, [ =( 'and_star'( X, truth ), X ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 4, [ =( 'and_star'( X, falsehood ), falsehood ) ] )
% 1.32/1.69 , clause( 1300, [ =( 'and_star'( X, falsehood ), falsehood ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 5, [ =( 'and_star'( xor( truth, X ), X ), falsehood ) ] )
% 1.32/1.69 , clause( 1301, [ =( 'and_star'( xor( truth, X ), X ), falsehood ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1344, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 1302, [ =( xor( X, xor( truth, Y ) ), xor( xor( X, truth ), Y
% 1.32/1.69 ) ) ] )
% 1.32/1.69 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 6, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 , clause( 1344, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1374, [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ), truth
% 1.32/1.69 ), Y ), 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 1.32/1.69 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 1303, [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ),
% 1.32/1.69 truth ), Y ), 'and_star'( xor( 'and_star'( xor( truth, Y ), X ), truth )
% 1.32/1.69 , X ) ) ] )
% 1.32/1.69 , 0, 11, substitution( 0, [ :=( X, 'and_star'( xor( truth, Y ), X ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1376, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y )
% 1.32/1.69 , 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 1.32/1.69 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 1374, [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ),
% 1.32/1.69 truth ), Y ), 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, 'and_star'( xor( truth, X ), Y ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 7, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 1.32/1.69 , clause( 1376, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y
% 1.32/1.69 ), 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 8, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.32/1.69 , clause( 1304, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1391, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , clause( 1305, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 1.32/1.69 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'( 'and_star'(
% 1.32/1.69 X, Y ), Z ) ) ] )
% 1.32/1.69 , clause( 1391, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , clause( 1306, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 11, [ =( not( truth ), falsehood ) ] )
% 1.32/1.69 , clause( 1307, [ =( not( truth ), falsehood ) ] )
% 1.32/1.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1418, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ), implies(
% 1.32/1.69 X, Y ) ) ] )
% 1.32/1.69 , clause( 1308, [ =( implies( X, Y ), xor( truth, 'and_star'( X, xor( truth
% 1.32/1.69 , Y ) ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 12, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ), implies( X
% 1.32/1.69 , Y ) ) ] )
% 1.32/1.69 , clause( 1418, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ),
% 1.32/1.69 implies( X, Y ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 13, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 1.32/1.69 implies( b, a ) ), truth ) ) ] )
% 1.32/1.69 , clause( 1309, [ ~( =( implies( implies( implies( a, b ), implies( b, a )
% 1.32/1.69 ), implies( b, a ) ), truth ) ) ] )
% 1.32/1.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1430, [ =( X, 'and_star'( X, truth ) ) ] )
% 1.32/1.69 , clause( 3, [ =( 'and_star'( X, truth ), X ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1431, [ =( X, 'and_star'( truth, X ) ) ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1430, [ =( X, 'and_star'( X, truth ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 1.32/1.69 , [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1434, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.69 , clause( 1431, [ =( X, 'and_star'( truth, X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 14, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.69 , clause( 1434, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1435, [ =( falsehood, 'and_star'( X, falsehood ) ) ] )
% 1.32/1.69 , clause( 4, [ =( 'and_star'( X, falsehood ), falsehood ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1436, [ =( falsehood, 'and_star'( falsehood, X ) ) ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1435, [ =( falsehood, 'and_star'( X, falsehood ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1439, [ =( 'and_star'( falsehood, X ), falsehood ) ] )
% 1.32/1.69 , clause( 1436, [ =( falsehood, 'and_star'( falsehood, X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 15, [ =( 'and_star'( falsehood, X ), falsehood ) ] )
% 1.32/1.69 , clause( 1439, [ =( 'and_star'( falsehood, X ), falsehood ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1440, [ =( not( X ), xor( X, truth ) ) ] )
% 1.32/1.69 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1441, [ =( not( X ), xor( truth, X ) ) ] )
% 1.32/1.69 , clause( 8, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1440, [ =( not( X ), xor( X, truth ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 1.32/1.69 , [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1444, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , clause( 1441, [ =( not( X ), xor( truth, X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , clause( 1444, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1445, [ =( X, xor( X, falsehood ) ) ] )
% 1.32/1.69 , clause( 1, [ =( xor( X, falsehood ), X ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1446, [ =( X, xor( falsehood, X ) ) ] )
% 1.32/1.69 , clause( 8, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1445, [ =( X, xor( X, falsehood ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1449, [ =( xor( falsehood, X ), X ) ] )
% 1.32/1.69 , clause( 1446, [ =( X, xor( falsehood, X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 17, [ =( xor( falsehood, X ), X ) ] )
% 1.32/1.69 , clause( 1449, [ =( xor( falsehood, X ), X ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1452, [ =( 'and_star'( not( X ), X ), falsehood ) ] )
% 1.32/1.69 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 5, [ =( 'and_star'( xor( truth, X ), X ), falsehood ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.32/1.69 ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 18, [ =( 'and_star'( not( X ), X ), falsehood ) ] )
% 1.32/1.69 , clause( 1452, [ =( 'and_star'( not( X ), X ), falsehood ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1454, [ =( X, xor( falsehood, X ) ) ] )
% 1.32/1.69 , clause( 17, [ =( xor( falsehood, X ), X ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1456, [ =( truth, not( falsehood ) ) ] )
% 1.32/1.69 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 1454, [ =( X, xor( falsehood, X ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [ :=( X
% 1.32/1.69 , truth )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1457, [ =( not( falsehood ), truth ) ] )
% 1.32/1.69 , clause( 1456, [ =( truth, not( falsehood ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 19, [ =( not( falsehood ), truth ) ] )
% 1.32/1.69 , clause( 1457, [ =( not( falsehood ), truth ) ] )
% 1.32/1.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1458, [ =( falsehood, 'and_star'( not( X ), X ) ) ] )
% 1.32/1.69 , clause( 18, [ =( 'and_star'( not( X ), X ), falsehood ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1459, [ =( falsehood, 'and_star'( X, not( X ) ) ) ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1458, [ =( falsehood, 'and_star'( not( X ), X ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, not( X ) ), :=( Y, X )] ), substitution(
% 1.32/1.69 1, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1462, [ =( 'and_star'( X, not( X ) ), falsehood ) ] )
% 1.32/1.69 , clause( 1459, [ =( falsehood, 'and_star'( X, not( X ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 20, [ =( 'and_star'( X, not( X ) ), falsehood ) ] )
% 1.32/1.69 , clause( 1462, [ =( 'and_star'( X, not( X ) ), falsehood ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1465, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 6, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 21, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 , clause( 1465, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1467, [ =( xor( not( X ), Y ), xor( X, not( Y ) ) ) ] )
% 1.32/1.69 , clause( 21, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1471, [ =( xor( not( truth ), X ), not( not( X ) ) ) ] )
% 1.32/1.69 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 1467, [ =( xor( not( X ), Y ), xor( X, not( Y ) ) ) ] )
% 1.32/1.69 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.32/1.69 truth ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1472, [ =( xor( falsehood, X ), not( not( X ) ) ) ] )
% 1.32/1.69 , clause( 11, [ =( not( truth ), falsehood ) ] )
% 1.32/1.69 , 0, clause( 1471, [ =( xor( not( truth ), X ), not( not( X ) ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1473, [ =( X, not( not( X ) ) ) ] )
% 1.32/1.69 , clause( 17, [ =( xor( falsehood, X ), X ) ] )
% 1.32/1.69 , 0, clause( 1472, [ =( xor( falsehood, X ), not( not( X ) ) ) ] )
% 1.32/1.69 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.32/1.69 ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1474, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , clause( 1473, [ =( X, not( not( X ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , clause( 1474, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1478, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y )
% 1.32/1.69 , 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 1.32/1.69 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 7, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y
% 1.32/1.69 ), 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 1.32/1.69 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1480, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 1.32/1.69 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 1478, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) )
% 1.32/1.69 , Y ), 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 1.32/1.69 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 24, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 1.32/1.69 , clause( 1480, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1482, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 1.32/1.69 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1486, [ =( 'and_star'( 'and_star'( X, Y ), not( Y ) ), 'and_star'(
% 1.32/1.69 X, falsehood ) ) ] )
% 1.32/1.69 , clause( 20, [ =( 'and_star'( X, not( X ) ), falsehood ) ] )
% 1.32/1.69 , 0, clause( 1482, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X
% 1.32/1.69 , 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y ), :=( Z, not( Y ) )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1487, [ =( 'and_star'( 'and_star'( X, Y ), not( Y ) ), falsehood )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 4, [ =( 'and_star'( X, falsehood ), falsehood ) ] )
% 1.32/1.69 , 0, clause( 1486, [ =( 'and_star'( 'and_star'( X, Y ), not( Y ) ),
% 1.32/1.69 'and_star'( X, falsehood ) ) ] )
% 1.32/1.69 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 25, [ =( 'and_star'( 'and_star'( Y, X ), not( X ) ), falsehood ) ]
% 1.32/1.69 )
% 1.32/1.69 , clause( 1487, [ =( 'and_star'( 'and_star'( X, Y ), not( Y ) ), falsehood
% 1.32/1.69 ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1490, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 1.32/1.69 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1495, [ =( 'and_star'( 'and_star'( X, not( Y ) ), Y ), 'and_star'(
% 1.32/1.69 X, falsehood ) ) ] )
% 1.32/1.69 , clause( 18, [ =( 'and_star'( not( X ), X ), falsehood ) ] )
% 1.32/1.69 , 0, clause( 1490, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X
% 1.32/1.69 , 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, not( Y ) ), :=( Z, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1496, [ =( 'and_star'( 'and_star'( X, not( Y ) ), Y ), falsehood )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 4, [ =( 'and_star'( X, falsehood ), falsehood ) ] )
% 1.32/1.69 , 0, clause( 1495, [ =( 'and_star'( 'and_star'( X, not( Y ) ), Y ),
% 1.32/1.69 'and_star'( X, falsehood ) ) ] )
% 1.32/1.69 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 27, [ =( 'and_star'( 'and_star'( Y, not( X ) ), X ), falsehood ) ]
% 1.32/1.69 )
% 1.32/1.69 , clause( 1496, [ =( 'and_star'( 'and_star'( X, not( Y ) ), Y ), falsehood
% 1.32/1.69 ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1498, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 1.32/1.69 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1501, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( Y, Z ), X ) ) ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1498, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X
% 1.32/1.69 , 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'and_star'( Y, Z ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 28, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( Y, Z ), X ) ) ] )
% 1.32/1.69 , clause( 1501, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( Y, Z ), X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1515, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 1.32/1.69 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1520, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 1.32/1.69 'and_star'( Z, Y ) ) ) ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1515, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X
% 1.32/1.69 , 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1533, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( X, Z ), Y ) ) ] )
% 1.32/1.69 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1520, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X
% 1.32/1.69 , 'and_star'( Z, Y ) ) ) ] )
% 1.32/1.69 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 29, [ =( 'and_star'( 'and_star'( Z, Y ), X ), 'and_star'(
% 1.32/1.69 'and_star'( Z, X ), Y ) ) ] )
% 1.32/1.69 , clause( 1533, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( X, Z ), Y ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1534, [ =( falsehood, 'and_star'( 'and_star'( X, Y ), not( Y ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 25, [ =( 'and_star'( 'and_star'( Y, X ), not( X ) ), falsehood )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1536, [ =( falsehood, 'and_star'( not( Y ), 'and_star'( X, Y ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1534, [ =( falsehood, 'and_star'( 'and_star'( X, Y ), not( Y )
% 1.32/1.69 ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, 'and_star'( X, Y ) ), :=( Y, not( Y ) )] )
% 1.32/1.69 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1542, [ =( falsehood, 'and_star'( 'and_star'( not( X ), Y ), X ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1536, [ =( falsehood, 'and_star'( not( Y ), 'and_star'( X, Y )
% 1.32/1.69 ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y ), :=( Z, X )] ),
% 1.32/1.69 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1543, [ =( 'and_star'( 'and_star'( not( X ), Y ), X ), falsehood )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 1542, [ =( falsehood, 'and_star'( 'and_star'( not( X ), Y ), X )
% 1.32/1.69 ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 31, [ =( 'and_star'( 'and_star'( not( Y ), X ), Y ), falsehood ) ]
% 1.32/1.69 )
% 1.32/1.69 , clause( 1543, [ =( 'and_star'( 'and_star'( not( X ), Y ), X ), falsehood
% 1.32/1.69 ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1548, [ =( xor( truth, 'and_star'( X, not( Y ) ) ), implies( X, Y )
% 1.32/1.69 ) ] )
% 1.32/1.69 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 12, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ),
% 1.32/1.69 implies( X, Y ) ) ] )
% 1.32/1.69 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1550, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 1.32/1.69 , 0, clause( 1548, [ =( xor( truth, 'and_star'( X, not( Y ) ) ), implies( X
% 1.32/1.69 , Y ) ) ] )
% 1.32/1.69 , 0, 1, substitution( 0, [ :=( X, 'and_star'( X, not( Y ) ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , clause( 1550, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1553, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1557, [ =( implies( 'and_star'( X, not( not( Y ) ) ), Y ), not(
% 1.32/1.69 falsehood ) ) ] )
% 1.32/1.69 , clause( 27, [ =( 'and_star'( 'and_star'( Y, not( X ) ), X ), falsehood )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, clause( 1553, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 9, substitution( 0, [ :=( X, not( Y ) ), :=( Y, X )] ), substitution(
% 1.32/1.69 1, [ :=( X, 'and_star'( X, not( not( Y ) ) ) ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1558, [ =( implies( 'and_star'( X, not( not( Y ) ) ), Y ), truth )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 19, [ =( not( falsehood ), truth ) ] )
% 1.32/1.69 , 0, clause( 1557, [ =( implies( 'and_star'( X, not( not( Y ) ) ), Y ), not(
% 1.32/1.69 falsehood ) ) ] )
% 1.32/1.69 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.32/1.69 ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1559, [ =( implies( 'and_star'( X, Y ), Y ), truth ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, clause( 1558, [ =( implies( 'and_star'( X, not( not( Y ) ) ), Y ),
% 1.32/1.69 truth ) ] )
% 1.32/1.69 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 42, [ =( implies( 'and_star'( X, Y ), Y ), truth ) ] )
% 1.32/1.69 , clause( 1559, [ =( implies( 'and_star'( X, Y ), Y ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1562, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1566, [ =( implies( 'and_star'( not( not( X ) ), Y ), X ), not(
% 1.32/1.69 falsehood ) ) ] )
% 1.32/1.69 , clause( 31, [ =( 'and_star'( 'and_star'( not( Y ), X ), Y ), falsehood )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, clause( 1562, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ), substitution(
% 1.32/1.69 1, [ :=( X, 'and_star'( not( not( X ) ), Y ) ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1567, [ =( implies( 'and_star'( not( not( X ) ), Y ), X ), truth )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 19, [ =( not( falsehood ), truth ) ] )
% 1.32/1.69 , 0, clause( 1566, [ =( implies( 'and_star'( not( not( X ) ), Y ), X ), not(
% 1.32/1.69 falsehood ) ) ] )
% 1.32/1.69 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.32/1.69 ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1568, [ =( implies( 'and_star'( X, Y ), X ), truth ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, clause( 1567, [ =( implies( 'and_star'( not( not( X ) ), Y ), X ),
% 1.32/1.69 truth ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 44, [ =( implies( 'and_star'( X, Y ), X ), truth ) ] )
% 1.32/1.69 , clause( 1568, [ =( implies( 'and_star'( X, Y ), X ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1571, [ =( X, not( not( X ) ) ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1574, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, clause( 1571, [ =( X, not( not( X ) ) ) ] )
% 1.32/1.69 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, 'and_star'( X, not( Y ) ) )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 1574, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1577, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1580, [ =( implies( X, not( Y ) ), not( 'and_star'( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, clause( 1577, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, not( Y ) )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.69 , clause( 1580, [ =( implies( X, not( Y ) ), not( 'and_star'( X, Y ) ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1583, [ =( falsehood, 'and_star'( not( X ), X ) ) ] )
% 1.32/1.69 , clause( 18, [ =( 'and_star'( not( X ), X ), falsehood ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1587, [ =( falsehood, 'and_star'( implies( X, Y ), 'and_star'( X,
% 1.32/1.69 not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, clause( 1583, [ =( falsehood, 'and_star'( not( X ), X ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, 'and_star'( X, not( Y ) ) )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1588, [ =( falsehood, 'and_star'( 'and_star'( implies( X, Y ), X )
% 1.32/1.69 , not( Y ) ) ) ] )
% 1.32/1.69 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1587, [ =( falsehood, 'and_star'( implies( X, Y ), 'and_star'(
% 1.32/1.69 X, not( Y ) ) ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z, not(
% 1.32/1.69 Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1589, [ =( falsehood, not( implies( 'and_star'( implies( X, Y ), X
% 1.32/1.69 ), Y ) ) ) ] )
% 1.32/1.69 , clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1588, [ =( falsehood, 'and_star'( 'and_star'( implies( X, Y )
% 1.32/1.69 , X ), not( Y ) ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, 'and_star'( implies( X, Y ), X ) ), :=( Y
% 1.32/1.69 , Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1590, [ =( not( implies( 'and_star'( implies( X, Y ), X ), Y ) ),
% 1.32/1.69 falsehood ) ] )
% 1.32/1.69 , clause( 1589, [ =( falsehood, not( implies( 'and_star'( implies( X, Y ),
% 1.32/1.69 X ), Y ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 51, [ =( not( implies( 'and_star'( implies( X, Y ), X ), Y ) ),
% 1.32/1.69 falsehood ) ] )
% 1.32/1.69 , clause( 1590, [ =( not( implies( 'and_star'( implies( X, Y ), X ), Y ) )
% 1.32/1.69 , falsehood ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1592, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1594, [ =( implies( falsehood, X ), not( falsehood ) ) ] )
% 1.32/1.69 , clause( 15, [ =( 'and_star'( falsehood, X ), falsehood ) ] )
% 1.32/1.69 , 0, clause( 1592, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.32/1.69 falsehood ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1595, [ =( implies( falsehood, X ), truth ) ] )
% 1.32/1.69 , clause( 19, [ =( not( falsehood ), truth ) ] )
% 1.32/1.69 , 0, clause( 1594, [ =( implies( falsehood, X ), not( falsehood ) ) ] )
% 1.32/1.69 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 53, [ =( implies( falsehood, X ), truth ) ] )
% 1.32/1.69 , clause( 1595, [ =( implies( falsehood, X ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1598, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1600, [ =( implies( truth, X ), not( not( X ) ) ) ] )
% 1.32/1.69 , clause( 14, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.69 , 0, clause( 1598, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.32/1.69 truth ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1601, [ =( implies( truth, X ), X ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, clause( 1600, [ =( implies( truth, X ), not( not( X ) ) ) ] )
% 1.32/1.69 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.32/1.69 ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 54, [ =( implies( truth, X ), X ) ] )
% 1.32/1.69 , clause( 1601, [ =( implies( truth, X ), X ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1603, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1604, [ =( implies( X, Y ), not( 'and_star'( not( Y ), X ) ) ) ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1603, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 1.32/1.69 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1607, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , clause( 1604, [ =( implies( X, Y ), not( 'and_star'( not( Y ), X ) ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , clause( 1607, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1611, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( implies( X, Y ), X ) ) ] )
% 1.32/1.69 , clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, clause( 24, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 1.32/1.69 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1613, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X
% 1.32/1.69 , Y ), X ) ) ] )
% 1.32/1.69 , clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, clause( 1611, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 1.32/1.69 'and_star'( implies( X, Y ), X ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X,
% 1.32/1.69 Y ), X ) ) ] )
% 1.32/1.69 , clause( 1613, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies(
% 1.32/1.69 X, Y ), X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1615, [ =( truth, implies( 'and_star'( X, Y ), Y ) ) ] )
% 1.32/1.69 , clause( 42, [ =( implies( 'and_star'( X, Y ), Y ), truth ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1619, [ =( truth, implies( not( implies( X, Y ) ), not( Y ) ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1615, [ =( truth, implies( 'and_star'( X, Y ), Y ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, not( Y ) )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1620, [ =( truth, not( 'and_star'( not( implies( X, Y ) ), Y ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.69 , 0, clause( 1619, [ =( truth, implies( not( implies( X, Y ) ), not( Y ) )
% 1.32/1.69 ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, not( implies( X, Y ) ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1621, [ =( truth, implies( Y, implies( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, clause( 1620, [ =( truth, not( 'and_star'( not( implies( X, Y ) ), Y )
% 1.32/1.69 ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1622, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 1.32/1.69 , clause( 1621, [ =( truth, implies( Y, implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 1.32/1.69 , clause( 1622, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1623, [ =( not( implies( X, Y ) ), 'and_star'( X, not( Y ) ) ) ] )
% 1.32/1.69 , clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1624, [ =( not( implies( X, Y ) ), 'and_star'( not( Y ), X ) ) ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1623, [ =( not( implies( X, Y ) ), 'and_star'( X, not( Y ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 1.32/1.69 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1627, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 1624, [ =( not( implies( X, Y ) ), 'and_star'( not( Y ), X ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 1627, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1628, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , clause( 28, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( Y, Z ), X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1629, [ =( truth, implies( 'and_star'( X, Y ), X ) ) ] )
% 1.32/1.69 , clause( 44, [ =( implies( 'and_star'( X, Y ), X ), truth ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1630, [ =( truth, implies( 'and_star'( 'and_star'( Z, X ), Y ),
% 1.32/1.69 'and_star'( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 1628, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1629, [ =( truth, implies( 'and_star'( X, Y ), X ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.32/1.69 substitution( 1, [ :=( X, 'and_star'( X, Y ) ), :=( Y, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1631, [ =( truth, implies( 'and_star'( 'and_star'( Z, X ), Y ),
% 1.32/1.69 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , clause( 1628, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1630, [ =( truth, implies( 'and_star'( 'and_star'( Z, X ), Y )
% 1.32/1.69 , 'and_star'( X, Y ) ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.32/1.69 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1634, [ =( implies( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 Z, X ) ), truth ) ] )
% 1.32/1.69 , clause( 1631, [ =( truth, implies( 'and_star'( 'and_star'( Z, X ), Y ),
% 1.32/1.69 'and_star'( Y, Z ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 76, [ =( implies( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 X, Y ) ), truth ) ] )
% 1.32/1.69 , clause( 1634, [ =( implies( 'and_star'( 'and_star'( X, Y ), Z ),
% 1.32/1.69 'and_star'( Z, X ) ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1636, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , clause( 28, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( Y, Z ), X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1637, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1640, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'(
% 1.32/1.69 'and_star'( not( Z ), X ), Y ) ) ) ] )
% 1.32/1.69 , clause( 1636, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1637, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 7, substitution( 0, [ :=( X, not( Z ) ), :=( Y, X ), :=( Z, Y )] ),
% 1.32/1.69 substitution( 1, [ :=( X, 'and_star'( X, Y ) ), :=( Y, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1641, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'(
% 1.32/1.69 'and_star'( Y, not( Z ) ), X ) ) ) ] )
% 1.32/1.69 , clause( 1636, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1640, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'(
% 1.32/1.69 'and_star'( not( Z ), X ), Y ) ) ) ] )
% 1.32/1.69 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, not( Z ) ), :=( Z, X )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1643, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'( not(
% 1.32/1.69 implies( Y, Z ) ), X ) ) ) ] )
% 1.32/1.69 , clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1641, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'(
% 1.32/1.69 'and_star'( Y, not( Z ) ), X ) ) ) ] )
% 1.32/1.69 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1644, [ =( implies( 'and_star'( X, Y ), Z ), implies( X, implies( Y
% 1.32/1.69 , Z ) ) ) ] )
% 1.32/1.69 , clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, clause( 1643, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'(
% 1.32/1.69 not( implies( Y, Z ) ), X ) ) ) ] )
% 1.32/1.69 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, Z ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1645, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y
% 1.32/1.69 ), Z ) ) ] )
% 1.32/1.69 , clause( 1644, [ =( implies( 'and_star'( X, Y ), Z ), implies( X, implies(
% 1.32/1.69 Y, Z ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y )
% 1.32/1.69 , Z ) ) ] )
% 1.32/1.69 , clause( 1645, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X
% 1.32/1.69 , Y ), Z ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1646, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , clause( 28, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( Y, Z ), X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1647, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1651, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'(
% 1.32/1.69 'and_star'( not( Z ), X ), Y ) ) ) ] )
% 1.32/1.69 , clause( 1646, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1647, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 7, substitution( 0, [ :=( X, not( Z ) ), :=( Y, X ), :=( Z, Y )] ),
% 1.32/1.69 substitution( 1, [ :=( X, 'and_star'( X, Y ) ), :=( Y, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1654, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'( not(
% 1.32/1.69 implies( X, Z ) ), Y ) ) ) ] )
% 1.32/1.69 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1651, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'(
% 1.32/1.69 'and_star'( not( Z ), X ), Y ) ) ) ] )
% 1.32/1.69 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1656, [ =( implies( 'and_star'( X, Y ), Z ), implies( Y, implies( X
% 1.32/1.69 , Z ) ) ) ] )
% 1.32/1.69 , clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, clause( 1654, [ =( implies( 'and_star'( X, Y ), Z ), not( 'and_star'(
% 1.32/1.69 not( implies( X, Z ) ), Y ) ) ) ] )
% 1.32/1.69 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Z ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1657, [ =( implies( 'and_star'( X, Y ), Z ), implies( 'and_star'( Y
% 1.32/1.69 , X ), Z ) ) ] )
% 1.32/1.69 , clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y
% 1.32/1.69 ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1656, [ =( implies( 'and_star'( X, Y ), Z ), implies( Y,
% 1.32/1.69 implies( X, Z ) ) ) ] )
% 1.32/1.69 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 79, [ =( implies( 'and_star'( Y, X ), Z ), implies( 'and_star'( X,
% 1.32/1.69 Y ), Z ) ) ] )
% 1.32/1.69 , clause( 1657, [ =( implies( 'and_star'( X, Y ), Z ), implies( 'and_star'(
% 1.32/1.69 Y, X ), Z ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1658, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , clause( 28, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'(
% 1.32/1.69 'and_star'( Y, Z ), X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1659, [ =( 'and_star'( 'and_star'( X, Z ), Y ), 'and_star'(
% 1.32/1.69 'and_star'( Z, X ), Y ) ) ] )
% 1.32/1.69 , clause( 29, [ =( 'and_star'( 'and_star'( Z, Y ), X ), 'and_star'(
% 1.32/1.69 'and_star'( Z, X ), Y ) ) ] )
% 1.32/1.69 , 0, clause( 1658, [ =( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 1.32/1.69 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 91, [ =( 'and_star'( 'and_star'( Z, X ), Y ), 'and_star'(
% 1.32/1.69 'and_star'( X, Z ), Y ) ) ] )
% 1.32/1.69 , clause( 1659, [ =( 'and_star'( 'and_star'( X, Z ), Y ), 'and_star'(
% 1.32/1.69 'and_star'( Z, X ), Y ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1682, [ =( X, not( not( X ) ) ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1684, [ =( implies( 'and_star'( implies( X, Y ), X ), Y ), not(
% 1.32/1.69 falsehood ) ) ] )
% 1.32/1.69 , clause( 51, [ =( not( implies( 'and_star'( implies( X, Y ), X ), Y ) ),
% 1.32/1.69 falsehood ) ] )
% 1.32/1.69 , 0, clause( 1682, [ =( X, not( not( X ) ) ) ] )
% 1.32/1.69 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, implies( 'and_star'( implies( X, Y ), X ), Y ) )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1685, [ =( implies( 'and_star'( implies( X, Y ), X ), Y ), truth )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 19, [ =( not( falsehood ), truth ) ] )
% 1.32/1.69 , 0, clause( 1684, [ =( implies( 'and_star'( implies( X, Y ), X ), Y ), not(
% 1.32/1.69 falsehood ) ) ] )
% 1.32/1.69 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.32/1.69 ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 119, [ =( implies( 'and_star'( implies( X, Y ), X ), Y ), truth ) ]
% 1.32/1.69 )
% 1.32/1.69 , clause( 1685, [ =( implies( 'and_star'( implies( X, Y ), X ), Y ), truth
% 1.32/1.69 ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1687, [ =( truth, implies( 'and_star'( implies( X, Y ), X ), Y ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 119, [ =( implies( 'and_star'( implies( X, Y ), X ), Y ), truth )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1688, [ =( truth, implies( 'and_star'( X, implies( X, Y ) ), Y ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, clause( 1687, [ =( truth, implies( 'and_star'( implies( X, Y ), X ), Y
% 1.32/1.69 ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, X )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1691, [ =( implies( 'and_star'( X, implies( X, Y ) ), Y ), truth )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 1688, [ =( truth, implies( 'and_star'( X, implies( X, Y ) ), Y )
% 1.32/1.69 ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 124, [ =( implies( 'and_star'( X, implies( X, Y ) ), Y ), truth ) ]
% 1.32/1.69 )
% 1.32/1.69 , clause( 1691, [ =( implies( 'and_star'( X, implies( X, Y ) ), Y ), truth
% 1.32/1.69 ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1692, [ =( truth, implies( 'and_star'( X, implies( X, Y ) ), Y ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 124, [ =( implies( 'and_star'( X, implies( X, Y ) ), Y ), truth )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1693, [ =( truth, implies( 'and_star'( 'and_star'( Y, X ), implies(
% 1.32/1.69 'and_star'( X, Y ), Z ) ), Z ) ) ] )
% 1.32/1.69 , clause( 91, [ =( 'and_star'( 'and_star'( Z, X ), Y ), 'and_star'(
% 1.32/1.69 'and_star'( X, Z ), Y ) ) ] )
% 1.32/1.69 , 0, clause( 1692, [ =( truth, implies( 'and_star'( X, implies( X, Y ) ), Y
% 1.32/1.69 ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, implies( 'and_star'( X, Y ),
% 1.32/1.69 Z ) ), :=( Z, X )] ), substitution( 1, [ :=( X, 'and_star'( X, Y ) ),
% 1.32/1.69 :=( Y, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1696, [ =( implies( 'and_star'( 'and_star'( X, Y ), implies(
% 1.32/1.69 'and_star'( Y, X ), Z ) ), Z ), truth ) ] )
% 1.32/1.69 , clause( 1693, [ =( truth, implies( 'and_star'( 'and_star'( Y, X ),
% 1.32/1.69 implies( 'and_star'( X, Y ), Z ) ), Z ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 128, [ =( implies( 'and_star'( 'and_star'( Y, X ), implies(
% 1.32/1.69 'and_star'( X, Y ), Z ) ), Z ), truth ) ] )
% 1.32/1.69 , clause( 1696, [ =( implies( 'and_star'( 'and_star'( X, Y ), implies(
% 1.32/1.69 'and_star'( Y, X ), Z ) ), Z ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1698, [ ~( =( truth, implies( implies( implies( a, b ), implies( b
% 1.32/1.69 , a ) ), implies( b, a ) ) ) ) ] )
% 1.32/1.69 , clause( 13, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) )
% 1.32/1.69 , implies( b, a ) ), truth ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1701, [ ~( =( truth, implies( implies( 'and_star'( implies( a, b )
% 1.32/1.69 , b ), a ), implies( b, a ) ) ) ) ] )
% 1.32/1.69 , clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y
% 1.32/1.69 ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1698, [ ~( =( truth, implies( implies( implies( a, b ),
% 1.32/1.69 implies( b, a ) ), implies( b, a ) ) ) ) ] )
% 1.32/1.69 , 0, 4, substitution( 0, [ :=( X, implies( a, b ) ), :=( Y, b ), :=( Z, a )] )
% 1.32/1.69 , substitution( 1, [] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1703, [ ~( =( truth, implies( 'and_star'( implies( 'and_star'(
% 1.32/1.69 implies( a, b ), b ), a ), b ), a ) ) ) ] )
% 1.32/1.69 , clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y
% 1.32/1.69 ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1701, [ ~( =( truth, implies( implies( 'and_star'( implies( a
% 1.32/1.69 , b ), b ), a ), implies( b, a ) ) ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, implies( 'and_star'( implies( a, b ), b )
% 1.32/1.69 , a ) ), :=( Y, b ), :=( Z, a )] ), substitution( 1, [] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1704, [ ~( =( implies( 'and_star'( implies( 'and_star'( implies( a
% 1.32/1.69 , b ), b ), a ), b ), a ), truth ) ) ] )
% 1.32/1.69 , clause( 1703, [ ~( =( truth, implies( 'and_star'( implies( 'and_star'(
% 1.32/1.69 implies( a, b ), b ), a ), b ), a ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 145, [ ~( =( implies( 'and_star'( implies( 'and_star'( implies( a,
% 1.32/1.69 b ), b ), a ), b ), a ), truth ) ) ] )
% 1.32/1.69 , clause( 1704, [ ~( =( implies( 'and_star'( implies( 'and_star'( implies(
% 1.32/1.69 a, b ), b ), a ), b ), a ), truth ) ) ] )
% 1.32/1.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1705, [ =( truth, implies( 'and_star'( implies( X, Y ), X ), Y ) )
% 1.32/1.69 ] )
% 1.32/1.69 , clause( 119, [ =( implies( 'and_star'( implies( X, Y ), X ), Y ), truth )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1708, [ =( truth, implies( 'and_star'( implies( 'and_star'( Y, X )
% 1.32/1.69 , Z ), 'and_star'( X, Y ) ), Z ) ) ] )
% 1.32/1.69 , clause( 79, [ =( implies( 'and_star'( Y, X ), Z ), implies( 'and_star'( X
% 1.32/1.69 , Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1705, [ =( truth, implies( 'and_star'( implies( X, Y ), X ), Y
% 1.32/1.69 ) ) ] )
% 1.32/1.69 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.32/1.69 substitution( 1, [ :=( X, 'and_star'( X, Y ) ), :=( Y, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1712, [ =( truth, implies( 'and_star'( 'and_star'( implies(
% 1.32/1.69 'and_star'( X, Y ), Z ), Y ), X ), Z ) ) ] )
% 1.32/1.69 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.69 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1708, [ =( truth, implies( 'and_star'( implies( 'and_star'( Y
% 1.32/1.69 , X ), Z ), 'and_star'( X, Y ) ), Z ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, implies( 'and_star'( X, Y ), Z ) ), :=( Y
% 1.32/1.69 , Y ), :=( Z, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z
% 1.32/1.69 )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1713, [ =( implies( 'and_star'( 'and_star'( implies( 'and_star'( X
% 1.32/1.69 , Y ), Z ), Y ), X ), Z ), truth ) ] )
% 1.32/1.69 , clause( 1712, [ =( truth, implies( 'and_star'( 'and_star'( implies(
% 1.32/1.69 'and_star'( X, Y ), Z ), Y ), X ), Z ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 149, [ =( implies( 'and_star'( 'and_star'( implies( 'and_star'( Y,
% 1.32/1.69 X ), Z ), X ), Y ), Z ), truth ) ] )
% 1.32/1.69 , clause( 1713, [ =( implies( 'and_star'( 'and_star'( implies( 'and_star'(
% 1.32/1.69 X, Y ), Z ), Y ), X ), Z ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1717, [ =( 'and_star'( implies( implies( X, Y ), Y ), implies( X, Y
% 1.32/1.69 ) ), 'and_star'( truth, Y ) ) ] )
% 1.32/1.69 , clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 1.32/1.69 , 0, clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies(
% 1.32/1.69 X, Y ), X ) ) ] )
% 1.32/1.69 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, Y ), :=( Y, implies( X, Y ) )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1718, [ =( 'and_star'( implies( implies( X, Y ), Y ), implies( X, Y
% 1.32/1.69 ) ), Y ) ] )
% 1.32/1.69 , clause( 14, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.69 , 0, clause( 1717, [ =( 'and_star'( implies( implies( X, Y ), Y ), implies(
% 1.32/1.69 X, Y ) ), 'and_star'( truth, Y ) ) ] )
% 1.32/1.69 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 194, [ =( 'and_star'( implies( implies( Y, X ), X ), implies( Y, X
% 1.32/1.69 ) ), X ) ] )
% 1.32/1.69 , clause( 1718, [ =( 'and_star'( implies( implies( X, Y ), Y ), implies( X
% 1.32/1.69 , Y ) ), Y ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1720, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 1.32/1.69 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1724, [ =( implies( implies( not( X ), Y ), X ), not( 'and_star'(
% 1.32/1.69 implies( Y, not( X ) ), Y ) ) ) ] )
% 1.32/1.69 , clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X
% 1.32/1.69 , Y ), X ) ) ] )
% 1.32/1.69 , 0, clause( 1720, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 1.32/1.69 ] )
% 1.32/1.69 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ), substitution(
% 1.32/1.69 1, [ :=( X, implies( not( X ), Y ) ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1726, [ =( implies( implies( not( X ), Y ), X ), not( 'and_star'(
% 1.32/1.69 not( 'and_star'( Y, X ) ), Y ) ) ) ] )
% 1.32/1.69 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.69 , 0, clause( 1724, [ =( implies( implies( not( X ), Y ), X ), not(
% 1.32/1.69 'and_star'( implies( Y, not( X ) ), Y ) ) ) ] )
% 1.32/1.69 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1727, [ =( implies( implies( not( X ), Y ), X ), not( not( implies(
% 1.32/1.69 Y, 'and_star'( Y, X ) ) ) ) ) ] )
% 1.32/1.69 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1726, [ =( implies( implies( not( X ), Y ), X ), not(
% 1.32/1.69 'and_star'( not( 'and_star'( Y, X ) ), Y ) ) ) ] )
% 1.32/1.69 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, 'and_star'( Y, X ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1728, [ =( implies( implies( not( X ), Y ), X ), implies( Y,
% 1.32/1.69 'and_star'( Y, X ) ) ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, clause( 1727, [ =( implies( implies( not( X ), Y ), X ), not( not(
% 1.32/1.69 implies( Y, 'and_star'( Y, X ) ) ) ) ) ] )
% 1.32/1.69 , 0, 7, substitution( 0, [ :=( X, implies( Y, 'and_star'( Y, X ) ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1729, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 1.32/1.69 X ), Y ), X ) ) ] )
% 1.32/1.69 , clause( 1728, [ =( implies( implies( not( X ), Y ), X ), implies( Y,
% 1.32/1.69 'and_star'( Y, X ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 197, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 1.32/1.69 X ), Y ), X ) ) ] )
% 1.32/1.69 , clause( 1729, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies(
% 1.32/1.69 not( X ), Y ), X ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1730, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( X, implies(
% 1.32/1.69 X, Y ) ) ) ] )
% 1.32/1.69 , clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X
% 1.32/1.69 , Y ), X ) ) ] )
% 1.32/1.69 , 0, clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.32/1.69 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.69 :=( X, implies( X, Y ) ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 199, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( X, implies(
% 1.32/1.69 X, Y ) ) ) ] )
% 1.32/1.69 , clause( 1730, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( X,
% 1.32/1.69 implies( X, Y ) ) ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1735, [ =( 'and_star'( Y, implies( Y, X ) ), 'and_star'( implies( X
% 1.32/1.69 , Y ), X ) ) ] )
% 1.32/1.69 , clause( 199, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( X,
% 1.32/1.69 implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1738, [ =( 'and_star'( implies( X, Y ), implies( implies( X, Y ), Y
% 1.32/1.69 ) ), 'and_star'( truth, Y ) ) ] )
% 1.32/1.69 , clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 1.32/1.69 , 0, clause( 1735, [ =( 'and_star'( Y, implies( Y, X ) ), 'and_star'(
% 1.32/1.69 implies( X, Y ), X ) ) ] )
% 1.32/1.69 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, Y ), :=( Y, implies( X, Y ) )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1739, [ =( 'and_star'( implies( X, Y ), implies( implies( X, Y ), Y
% 1.32/1.69 ) ), Y ) ] )
% 1.32/1.69 , clause( 14, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.69 , 0, clause( 1738, [ =( 'and_star'( implies( X, Y ), implies( implies( X, Y
% 1.32/1.69 ), Y ) ), 'and_star'( truth, Y ) ) ] )
% 1.32/1.69 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 221, [ =( 'and_star'( implies( Y, X ), implies( implies( Y, X ), X
% 1.32/1.69 ) ), X ) ] )
% 1.32/1.69 , clause( 1739, [ =( 'and_star'( implies( X, Y ), implies( implies( X, Y )
% 1.32/1.69 , Y ) ), Y ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.69 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1742, [ =( truth, implies( 'and_star'( 'and_star'( X, Y ), Z ),
% 1.32/1.69 'and_star'( Z, X ) ) ) ] )
% 1.32/1.69 , clause( 76, [ =( implies( 'and_star'( 'and_star'( Y, Z ), X ), 'and_star'(
% 1.32/1.69 X, Y ) ), truth ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1749, [ =( truth, implies( 'and_star'( Y, Z ), 'and_star'( Z,
% 1.32/1.69 implies( X, Y ) ) ) ) ] )
% 1.32/1.69 , clause( 221, [ =( 'and_star'( implies( Y, X ), implies( implies( Y, X ),
% 1.32/1.69 X ) ), X ) ] )
% 1.32/1.69 , 0, clause( 1742, [ =( truth, implies( 'and_star'( 'and_star'( X, Y ), Z )
% 1.32/1.69 , 'and_star'( Z, X ) ) ) ] )
% 1.32/1.69 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.69 :=( X, implies( X, Y ) ), :=( Y, implies( implies( X, Y ), Y ) ), :=( Z,
% 1.32/1.69 Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1751, [ =( implies( 'and_star'( X, Y ), 'and_star'( Y, implies( Z,
% 1.32/1.69 X ) ) ), truth ) ] )
% 1.32/1.69 , clause( 1749, [ =( truth, implies( 'and_star'( Y, Z ), 'and_star'( Z,
% 1.32/1.69 implies( X, Y ) ) ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 296, [ =( implies( 'and_star'( Y, Z ), 'and_star'( Z, implies( X, Y
% 1.32/1.69 ) ) ), truth ) ] )
% 1.32/1.69 , clause( 1751, [ =( implies( 'and_star'( X, Y ), 'and_star'( Y, implies( Z
% 1.32/1.69 , X ) ) ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1754, [ =( truth, implies( 'and_star'( X, Y ), 'and_star'( Y,
% 1.32/1.69 implies( Z, X ) ) ) ) ] )
% 1.32/1.69 , clause( 296, [ =( implies( 'and_star'( Y, Z ), 'and_star'( Z, implies( X
% 1.32/1.69 , Y ) ) ), truth ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1762, [ =( truth, implies( 'and_star'( X, not( Y ) ), not( implies(
% 1.32/1.69 implies( Z, X ), Y ) ) ) ) ] )
% 1.32/1.69 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1754, [ =( truth, implies( 'and_star'( X, Y ), 'and_star'( Y,
% 1.32/1.69 implies( Z, X ) ) ) ) ] )
% 1.32/1.69 , 0, 7, substitution( 0, [ :=( X, implies( Z, X ) ), :=( Y, Y )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1763, [ =( truth, not( 'and_star'( 'and_star'( X, not( Y ) ),
% 1.32/1.69 implies( implies( Z, X ), Y ) ) ) ) ] )
% 1.32/1.69 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.69 , 0, clause( 1762, [ =( truth, implies( 'and_star'( X, not( Y ) ), not(
% 1.32/1.69 implies( implies( Z, X ), Y ) ) ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, implies( implies( Z, X ), Y ) ), :=( Y,
% 1.32/1.69 'and_star'( X, not( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 1.32/1.69 , :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1764, [ =( truth, not( 'and_star'( not( implies( X, Y ) ), implies(
% 1.32/1.69 implies( Z, X ), Y ) ) ) ) ] )
% 1.32/1.69 , clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1763, [ =( truth, not( 'and_star'( 'and_star'( X, not( Y ) ),
% 1.32/1.69 implies( implies( Z, X ), Y ) ) ) ) ] )
% 1.32/1.69 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1765, [ =( truth, not( not( implies( implies( implies( Z, X ), Y )
% 1.32/1.69 , implies( X, Y ) ) ) ) ) ] )
% 1.32/1.69 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1764, [ =( truth, not( 'and_star'( not( implies( X, Y ) ),
% 1.32/1.69 implies( implies( Z, X ), Y ) ) ) ) ] )
% 1.32/1.69 , 0, 3, substitution( 0, [ :=( X, implies( implies( Z, X ), Y ) ), :=( Y,
% 1.32/1.69 implies( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 1.32/1.69 )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1766, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 1.32/1.69 Y, Z ) ) ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, clause( 1765, [ =( truth, not( not( implies( implies( implies( Z, X )
% 1.32/1.69 , Y ), implies( X, Y ) ) ) ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 1.32/1.69 implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z
% 1.32/1.69 , X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1767, [ =( truth, implies( 'and_star'( implies( implies( X, Y ), Z
% 1.32/1.69 ), Y ), Z ) ) ] )
% 1.32/1.69 , clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y
% 1.32/1.69 ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1766, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 1.32/1.69 implies( Y, Z ) ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, implies( implies( X, Y ), Z ) ), :=( Y, Y
% 1.32/1.69 ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.32/1.69 ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1768, [ =( implies( 'and_star'( implies( implies( X, Y ), Z ), Y )
% 1.32/1.69 , Z ), truth ) ] )
% 1.32/1.69 , clause( 1767, [ =( truth, implies( 'and_star'( implies( implies( X, Y ),
% 1.32/1.69 Z ), Y ), Z ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 subsumption(
% 1.32/1.69 clause( 327, [ =( implies( 'and_star'( implies( implies( Y, Z ), X ), Z ),
% 1.32/1.69 X ), truth ) ] )
% 1.32/1.69 , clause( 1768, [ =( implies( 'and_star'( implies( implies( X, Y ), Z ), Y
% 1.32/1.69 ), Z ), truth ) ] )
% 1.32/1.69 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.32/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 eqswap(
% 1.32/1.69 clause( 1769, [ =( implies( implies( not( Y ), X ), Y ), implies( X,
% 1.32/1.69 'and_star'( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 197, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 1.32/1.69 X ), Y ), X ) ) ] )
% 1.32/1.69 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1785, [ =( implies( implies( implies( not( Y ), not( X ) ), Y ), X
% 1.32/1.69 ), implies( 'and_star'( not( X ), Y ), 'and_star'( 'and_star'( not( X )
% 1.32/1.69 , Y ), X ) ) ) ] )
% 1.32/1.69 , clause( 197, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 1.32/1.69 X ), Y ), X ) ) ] )
% 1.32/1.69 , 0, clause( 1769, [ =( implies( implies( not( Y ), X ), Y ), implies( X,
% 1.32/1.69 'and_star'( X, Y ) ) ) ] )
% 1.32/1.69 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ), substitution(
% 1.32/1.69 1, [ :=( X, 'and_star'( not( X ), Y ) ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1790, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), implies( 'and_star'( not( Y ), X ), 'and_star'( not( implies( X, Y )
% 1.32/1.69 ), Y ) ) ) ] )
% 1.32/1.69 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1785, [ =( implies( implies( implies( not( Y ), not( X ) ), Y
% 1.32/1.69 ), X ), implies( 'and_star'( not( X ), Y ), 'and_star'( 'and_star'( not(
% 1.32/1.69 X ), Y ), X ) ) ) ] )
% 1.32/1.69 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, Y ), :=( Y, X )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1795, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), implies( 'and_star'( not( Y ), X ), not( implies( Y, implies( X, Y )
% 1.32/1.69 ) ) ) ) ] )
% 1.32/1.69 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1790, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.69 ), Y ), implies( 'and_star'( not( Y ), X ), 'and_star'( not( implies( X
% 1.32/1.69 , Y ) ), Y ) ) ) ] )
% 1.32/1.69 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) )] ),
% 1.32/1.69 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1798, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), not( 'and_star'( 'and_star'( not( Y ), X ), implies( Y, implies( X, Y
% 1.32/1.69 ) ) ) ) ) ] )
% 1.32/1.69 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.69 , 0, clause( 1795, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.69 ), Y ), implies( 'and_star'( not( Y ), X ), not( implies( Y, implies( X
% 1.32/1.69 , Y ) ) ) ) ) ] )
% 1.32/1.69 , 0, 10, substitution( 0, [ :=( X, implies( Y, implies( X, Y ) ) ), :=( Y,
% 1.32/1.69 'and_star'( not( Y ), X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.32/1.69 ).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1800, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), not( 'and_star'( not( implies( X, Y ) ), implies( Y, implies( X, Y )
% 1.32/1.69 ) ) ) ) ] )
% 1.32/1.69 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1798, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.69 ), Y ), not( 'and_star'( 'and_star'( not( Y ), X ), implies( Y, implies(
% 1.32/1.69 X, Y ) ) ) ) ) ] )
% 1.32/1.69 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1801, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), not( not( implies( implies( Y, implies( X, Y ) ), implies( X, Y ) ) )
% 1.32/1.69 ) ) ] )
% 1.32/1.69 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, clause( 1800, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.69 ), Y ), not( 'and_star'( not( implies( X, Y ) ), implies( Y, implies( X
% 1.32/1.69 , Y ) ) ) ) ) ] )
% 1.32/1.69 , 0, 11, substitution( 0, [ :=( X, implies( Y, implies( X, Y ) ) ), :=( Y,
% 1.32/1.69 implies( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1802, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), implies( implies( Y, implies( X, Y ) ), implies( X, Y ) ) ) ] )
% 1.32/1.69 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.69 , 0, clause( 1801, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.69 ), Y ), not( not( implies( implies( Y, implies( X, Y ) ), implies( X, Y
% 1.32/1.69 ) ) ) ) ) ] )
% 1.32/1.69 , 0, 10, substitution( 0, [ :=( X, implies( implies( Y, implies( X, Y ) ),
% 1.32/1.69 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1803, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), implies( 'and_star'( implies( Y, implies( X, Y ) ), X ), Y ) ) ] )
% 1.32/1.69 , clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y
% 1.32/1.69 ), Z ) ) ] )
% 1.32/1.69 , 0, clause( 1802, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.69 ), Y ), implies( implies( Y, implies( X, Y ) ), implies( X, Y ) ) ) ] )
% 1.32/1.69 , 0, 10, substitution( 0, [ :=( X, implies( Y, implies( X, Y ) ) ), :=( Y,
% 1.32/1.69 X ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1806, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), implies( 'and_star'( truth, X ), Y ) ) ] )
% 1.32/1.69 , clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 1.32/1.69 , 0, clause( 1803, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.69 ), Y ), implies( 'and_star'( implies( Y, implies( X, Y ) ), X ), Y ) ) ]
% 1.32/1.69 )
% 1.32/1.69 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.69 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1807, [ =( implies( implies( implies( not( X ), not( Y ) ), X ), Y
% 1.32/1.69 ), implies( X, Y ) ) ] )
% 1.32/1.69 , clause( 14, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.69 , 0, clause( 1806, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.69 ), Y ), implies( 'and_star'( truth, X ), Y ) ) ] )
% 1.32/1.69 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.69 :=( Y, Y )] )).
% 1.32/1.69
% 1.32/1.69
% 1.32/1.69 paramod(
% 1.32/1.69 clause( 1808, [ =( implies( implies( not( 'and_star'( not( X ), Y ) ), X )
% 1.32/1.69 , Y ), implies( X, Y ) ) ] )
% 1.32/1.70 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.70 , 0, clause( 1807, [ =( implies( implies( implies( not( X ), not( Y ) ), X
% 1.32/1.70 ), Y ), implies( X, Y ) ) ] )
% 1.32/1.70 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ), substitution(
% 1.32/1.70 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1809, [ =( implies( implies( not( not( implies( Y, X ) ) ), X ), Y
% 1.32/1.70 ), implies( X, Y ) ) ] )
% 1.32/1.70 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.70 , 0, clause( 1808, [ =( implies( implies( not( 'and_star'( not( X ), Y ) )
% 1.32/1.70 , X ), Y ), implies( X, Y ) ) ] )
% 1.32/1.70 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.70 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1810, [ =( implies( implies( implies( X, Y ), Y ), X ), implies( Y
% 1.32/1.70 , X ) ) ] )
% 1.32/1.70 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.70 , 0, clause( 1809, [ =( implies( implies( not( not( implies( Y, X ) ) ), X
% 1.32/1.70 ), Y ), implies( X, Y ) ) ] )
% 1.32/1.70 , 0, 3, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 1.32/1.70 :=( X, Y ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 527, [ =( implies( implies( implies( X, Y ), Y ), X ), implies( Y,
% 1.32/1.70 X ) ) ] )
% 1.32/1.70 , clause( 1810, [ =( implies( implies( implies( X, Y ), Y ), X ), implies(
% 1.32/1.70 Y, X ) ) ] )
% 1.32/1.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.70 )] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1812, [ =( implies( implies( not( Y ), X ), Y ), implies( X,
% 1.32/1.70 'and_star'( X, Y ) ) ) ] )
% 1.32/1.70 , clause( 197, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 1.32/1.70 X ), Y ), X ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1817, [ =( implies( implies( not( X ), implies( X, Y ) ), X ),
% 1.32/1.70 implies( implies( X, Y ), 'and_star'( implies( Y, X ), Y ) ) ) ] )
% 1.32/1.70 , clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X
% 1.32/1.70 , Y ), X ) ) ] )
% 1.32/1.70 , 0, clause( 1812, [ =( implies( implies( not( Y ), X ), Y ), implies( X,
% 1.32/1.70 'and_star'( X, Y ) ) ) ] )
% 1.32/1.70 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.70 :=( X, implies( X, Y ) ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1819, [ =( implies( implies( 'and_star'( not( X ), X ), Y ), X ),
% 1.32/1.70 implies( implies( X, Y ), 'and_star'( implies( Y, X ), Y ) ) ) ] )
% 1.32/1.70 , clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y
% 1.32/1.70 ), Z ) ) ] )
% 1.32/1.70 , 0, clause( 1817, [ =( implies( implies( not( X ), implies( X, Y ) ), X )
% 1.32/1.70 , implies( implies( X, Y ), 'and_star'( implies( Y, X ), Y ) ) ) ] )
% 1.32/1.70 , 0, 2, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, Y )] ),
% 1.32/1.70 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1820, [ =( implies( implies( falsehood, Y ), X ), implies( implies(
% 1.32/1.70 X, Y ), 'and_star'( implies( Y, X ), Y ) ) ) ] )
% 1.32/1.70 , clause( 18, [ =( 'and_star'( not( X ), X ), falsehood ) ] )
% 1.32/1.70 , 0, clause( 1819, [ =( implies( implies( 'and_star'( not( X ), X ), Y ), X
% 1.32/1.70 ), implies( implies( X, Y ), 'and_star'( implies( Y, X ), Y ) ) ) ] )
% 1.32/1.70 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.32/1.70 :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1821, [ =( implies( truth, Y ), implies( implies( Y, X ),
% 1.32/1.70 'and_star'( implies( X, Y ), X ) ) ) ] )
% 1.32/1.70 , clause( 53, [ =( implies( falsehood, X ), truth ) ] )
% 1.32/1.70 , 0, clause( 1820, [ =( implies( implies( falsehood, Y ), X ), implies(
% 1.32/1.70 implies( X, Y ), 'and_star'( implies( Y, X ), Y ) ) ) ] )
% 1.32/1.70 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 1.32/1.70 :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1822, [ =( X, implies( implies( X, Y ), 'and_star'( implies( Y, X )
% 1.32/1.70 , Y ) ) ) ] )
% 1.32/1.70 , clause( 54, [ =( implies( truth, X ), X ) ] )
% 1.32/1.70 , 0, clause( 1821, [ =( implies( truth, Y ), implies( implies( Y, X ),
% 1.32/1.70 'and_star'( implies( X, Y ), X ) ) ) ] )
% 1.32/1.70 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 1.32/1.70 :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1823, [ =( implies( implies( X, Y ), 'and_star'( implies( Y, X ), Y
% 1.32/1.70 ) ), X ) ] )
% 1.32/1.70 , clause( 1822, [ =( X, implies( implies( X, Y ), 'and_star'( implies( Y, X
% 1.32/1.70 ), Y ) ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 555, [ =( implies( implies( X, Y ), 'and_star'( implies( Y, X ), Y
% 1.32/1.70 ) ), X ) ] )
% 1.32/1.70 , clause( 1823, [ =( implies( implies( X, Y ), 'and_star'( implies( Y, X )
% 1.32/1.70 , Y ) ), X ) ] )
% 1.32/1.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.70 )] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1825, [ =( implies( implies( not( Y ), X ), Y ), implies( X,
% 1.32/1.70 'and_star'( X, Y ) ) ) ] )
% 1.32/1.70 , clause( 197, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 1.32/1.70 X ), Y ), X ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1834, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), implies(
% 1.32/1.70 not( Y ), 'and_star'( not( Y ), X ) ) ) ] )
% 1.32/1.70 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.70 , 0, clause( 1825, [ =( implies( implies( not( Y ), X ), Y ), implies( X,
% 1.32/1.70 'and_star'( X, Y ) ) ) ] )
% 1.32/1.70 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ), substitution(
% 1.32/1.70 1, [ :=( X, not( Y ) ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1836, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), implies(
% 1.32/1.70 not( Y ), not( implies( X, Y ) ) ) ) ] )
% 1.32/1.70 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.70 , 0, clause( 1834, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ),
% 1.32/1.70 implies( not( Y ), 'and_star'( not( Y ), X ) ) ) ] )
% 1.32/1.70 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.70 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1838, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), not(
% 1.32/1.70 'and_star'( not( Y ), implies( X, Y ) ) ) ) ] )
% 1.32/1.70 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 1.32/1.70 , 0, clause( 1836, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ),
% 1.32/1.70 implies( not( Y ), not( implies( X, Y ) ) ) ) ] )
% 1.32/1.70 , 0, 8, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, not( Y ) )] ),
% 1.32/1.70 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1840, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), not( not(
% 1.32/1.70 implies( implies( X, Y ), Y ) ) ) ) ] )
% 1.32/1.70 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.70 , 0, clause( 1838, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), not(
% 1.32/1.70 'and_star'( not( Y ), implies( X, Y ) ) ) ) ] )
% 1.32/1.70 , 0, 9, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y )] ),
% 1.32/1.70 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1842, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), implies(
% 1.32/1.70 implies( X, Y ), Y ) ) ] )
% 1.32/1.70 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.70 , 0, clause( 1840, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), not(
% 1.32/1.70 not( implies( implies( X, Y ), Y ) ) ) ) ] )
% 1.32/1.70 , 0, 8, substitution( 0, [ :=( X, implies( implies( X, Y ), Y ) )] ),
% 1.32/1.70 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1843, [ =( implies( not( not( implies( Y, X ) ) ), X ), implies(
% 1.32/1.70 implies( X, Y ), Y ) ) ] )
% 1.32/1.70 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.32/1.70 , 0, clause( 1842, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ),
% 1.32/1.70 implies( implies( X, Y ), Y ) ) ] )
% 1.32/1.70 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.70 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1844, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 1.32/1.70 , X ) ) ] )
% 1.32/1.70 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 1.32/1.70 , 0, clause( 1843, [ =( implies( not( not( implies( Y, X ) ) ), X ),
% 1.32/1.70 implies( implies( X, Y ), Y ) ) ] )
% 1.32/1.70 , 0, 2, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 1.32/1.70 :=( X, Y ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 559, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 1.32/1.70 X ) ) ] )
% 1.32/1.70 , clause( 1844, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.32/1.70 ), X ) ) ] )
% 1.32/1.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.70 )] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1845, [ =( Y, 'and_star'( implies( implies( X, Y ), Y ), implies( X
% 1.32/1.70 , Y ) ) ) ] )
% 1.32/1.70 , clause( 194, [ =( 'and_star'( implies( implies( Y, X ), X ), implies( Y,
% 1.32/1.70 X ) ), X ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1849, [ =( X, 'and_star'( implies( implies( implies( Y, X ), X ), X
% 1.32/1.70 ), implies( implies( X, Y ), Y ) ) ) ] )
% 1.32/1.70 , clause( 559, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 1.32/1.70 , X ) ) ] )
% 1.32/1.70 , 0, clause( 1845, [ =( Y, 'and_star'( implies( implies( X, Y ), Y ),
% 1.32/1.70 implies( X, Y ) ) ) ] )
% 1.32/1.70 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.70 :=( X, implies( Y, X ) ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1851, [ =( X, 'and_star'( implies( implies( implies( X, Y ), Y ), X
% 1.32/1.70 ), implies( implies( X, Y ), Y ) ) ) ] )
% 1.32/1.70 , clause( 559, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 1.32/1.70 , X ) ) ] )
% 1.32/1.70 , 0, clause( 1849, [ =( X, 'and_star'( implies( implies( implies( Y, X ), X
% 1.32/1.70 ), X ), implies( implies( X, Y ), Y ) ) ) ] )
% 1.32/1.70 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.70 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1854, [ =( X, 'and_star'( implies( Y, X ), implies( implies( X, Y )
% 1.32/1.70 , Y ) ) ) ] )
% 1.32/1.70 , clause( 527, [ =( implies( implies( implies( X, Y ), Y ), X ), implies( Y
% 1.32/1.70 , X ) ) ] )
% 1.32/1.70 , 0, clause( 1851, [ =( X, 'and_star'( implies( implies( implies( X, Y ), Y
% 1.32/1.70 ), X ), implies( implies( X, Y ), Y ) ) ) ] )
% 1.32/1.70 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.70 :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1855, [ =( 'and_star'( implies( Y, X ), implies( implies( X, Y ), Y
% 1.32/1.70 ) ), X ) ] )
% 1.32/1.70 , clause( 1854, [ =( X, 'and_star'( implies( Y, X ), implies( implies( X, Y
% 1.32/1.70 ), Y ) ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 572, [ =( 'and_star'( implies( X, Y ), implies( implies( Y, X ), X
% 1.32/1.70 ) ), Y ) ] )
% 1.32/1.70 , clause( 1855, [ =( 'and_star'( implies( Y, X ), implies( implies( X, Y )
% 1.32/1.70 , Y ) ), X ) ] )
% 1.32/1.70 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.70 )] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1857, [ =( truth, implies( 'and_star'( implies( implies( X, Y ), Z
% 1.32/1.70 ), Y ), Z ) ) ] )
% 1.32/1.70 , clause( 327, [ =( implies( 'and_star'( implies( implies( Y, Z ), X ), Z )
% 1.32/1.70 , X ), truth ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1864, [ =( truth, implies( 'and_star'( implies( X, Z ), 'and_star'(
% 1.32/1.70 implies( Y, X ), Y ) ), Z ) ) ] )
% 1.32/1.70 , clause( 555, [ =( implies( implies( X, Y ), 'and_star'( implies( Y, X ),
% 1.32/1.70 Y ) ), X ) ] )
% 1.32/1.70 , 0, clause( 1857, [ =( truth, implies( 'and_star'( implies( implies( X, Y
% 1.32/1.70 ), Z ), Y ), Z ) ) ] )
% 1.32/1.70 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.70 :=( X, implies( X, Y ) ), :=( Y, 'and_star'( implies( Y, X ), Y ) ), :=(
% 1.32/1.70 Z, Z )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1865, [ =( truth, implies( 'and_star'( 'and_star'( implies( X, Y )
% 1.32/1.70 , implies( Z, X ) ), Z ), Y ) ) ] )
% 1.32/1.70 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.70 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.70 , 0, clause( 1864, [ =( truth, implies( 'and_star'( implies( X, Z ),
% 1.32/1.70 'and_star'( implies( Y, X ), Y ) ), Z ) ) ] )
% 1.32/1.70 , 0, 3, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( Z, X )
% 1.32/1.70 ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )
% 1.32/1.70 ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1866, [ =( implies( 'and_star'( 'and_star'( implies( X, Y ),
% 1.32/1.70 implies( Z, X ) ), Z ), Y ), truth ) ] )
% 1.32/1.70 , clause( 1865, [ =( truth, implies( 'and_star'( 'and_star'( implies( X, Y
% 1.32/1.70 ), implies( Z, X ) ), Z ), Y ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 637, [ =( implies( 'and_star'( 'and_star'( implies( X, Z ), implies(
% 1.32/1.70 Y, X ) ), Y ), Z ), truth ) ] )
% 1.32/1.70 , clause( 1866, [ =( implies( 'and_star'( 'and_star'( implies( X, Y ),
% 1.32/1.70 implies( Z, X ) ), Z ), Y ), truth ) ] )
% 1.32/1.70 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.32/1.70 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1868, [ =( truth, implies( 'and_star'( 'and_star'( X, Y ), implies(
% 1.32/1.70 'and_star'( Y, X ), Z ) ), Z ) ) ] )
% 1.32/1.70 , clause( 128, [ =( implies( 'and_star'( 'and_star'( Y, X ), implies(
% 1.32/1.70 'and_star'( X, Y ), Z ) ), Z ), truth ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1878, [ =( truth, implies( 'and_star'( 'and_star'( X, 'and_star'(
% 1.32/1.70 implies( Y, Z ), implies( X, Y ) ) ), truth ), Z ) ) ] )
% 1.32/1.70 , clause( 637, [ =( implies( 'and_star'( 'and_star'( implies( X, Z ),
% 1.32/1.70 implies( Y, X ) ), Y ), Z ), truth ) ] )
% 1.32/1.70 , 0, clause( 1868, [ =( truth, implies( 'and_star'( 'and_star'( X, Y ),
% 1.32/1.70 implies( 'and_star'( Y, X ), Z ) ), Z ) ) ] )
% 1.32/1.70 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.32/1.70 substitution( 1, [ :=( X, X ), :=( Y, 'and_star'( implies( Y, Z ),
% 1.32/1.70 implies( X, Y ) ) ), :=( Z, Z )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1879, [ =( truth, implies( 'and_star'( X, 'and_star'( implies( Y, Z
% 1.32/1.70 ), implies( X, Y ) ) ), Z ) ) ] )
% 1.32/1.70 , clause( 3, [ =( 'and_star'( X, truth ), X ) ] )
% 1.32/1.70 , 0, clause( 1878, [ =( truth, implies( 'and_star'( 'and_star'( X,
% 1.32/1.70 'and_star'( implies( Y, Z ), implies( X, Y ) ) ), truth ), Z ) ) ] )
% 1.32/1.70 , 0, 3, substitution( 0, [ :=( X, 'and_star'( X, 'and_star'( implies( Y, Z
% 1.32/1.70 ), implies( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 1.32/1.70 :=( Z, Z )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1880, [ =( truth, implies( 'and_star'( 'and_star'( X, implies( Y, Z
% 1.32/1.70 ) ), implies( X, Y ) ), Z ) ) ] )
% 1.32/1.70 , clause( 9, [ =( 'and_star'( X, 'and_star'( Y, Z ) ), 'and_star'(
% 1.32/1.70 'and_star'( X, Y ), Z ) ) ] )
% 1.32/1.70 , 0, clause( 1879, [ =( truth, implies( 'and_star'( X, 'and_star'( implies(
% 1.32/1.70 Y, Z ), implies( X, Y ) ) ), Z ) ) ] )
% 1.32/1.70 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, Z ) ), :=( Z,
% 1.32/1.70 implies( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 1.32/1.70 )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1881, [ =( implies( 'and_star'( 'and_star'( X, implies( Y, Z ) ),
% 1.32/1.70 implies( X, Y ) ), Z ), truth ) ] )
% 1.32/1.70 , clause( 1880, [ =( truth, implies( 'and_star'( 'and_star'( X, implies( Y
% 1.32/1.70 , Z ) ), implies( X, Y ) ), Z ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 1173, [ =( implies( 'and_star'( 'and_star'( Z, implies( X, Y ) ),
% 1.32/1.70 implies( Z, X ) ), Y ), truth ) ] )
% 1.32/1.70 , clause( 1881, [ =( implies( 'and_star'( 'and_star'( X, implies( Y, Z ) )
% 1.32/1.70 , implies( X, Y ) ), Z ), truth ) ] )
% 1.32/1.70 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.32/1.70 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1883, [ =( truth, implies( 'and_star'( 'and_star'( X, implies( Y, Z
% 1.32/1.70 ) ), implies( X, Y ) ), Z ) ) ] )
% 1.32/1.70 , clause( 1173, [ =( implies( 'and_star'( 'and_star'( Z, implies( X, Y ) )
% 1.32/1.70 , implies( Z, X ) ), Y ), truth ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1887, [ =( truth, implies( 'and_star'( Y, implies( implies( X, Y )
% 1.32/1.70 , implies( Y, X ) ) ), X ) ) ] )
% 1.32/1.70 , clause( 572, [ =( 'and_star'( implies( X, Y ), implies( implies( Y, X ),
% 1.32/1.70 X ) ), Y ) ] )
% 1.32/1.70 , 0, clause( 1883, [ =( truth, implies( 'and_star'( 'and_star'( X, implies(
% 1.32/1.70 Y, Z ) ), implies( X, Y ) ), Z ) ) ] )
% 1.32/1.70 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.32/1.70 :=( X, implies( X, Y ) ), :=( Y, implies( Y, X ) ), :=( Z, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1888, [ =( truth, implies( 'and_star'( X, implies( 'and_star'(
% 1.32/1.70 implies( Y, X ), X ), Y ) ), Y ) ) ] )
% 1.32/1.70 , clause( 78, [ =( implies( X, implies( Y, Z ) ), implies( 'and_star'( X, Y
% 1.32/1.70 ), Z ) ) ] )
% 1.32/1.70 , 0, clause( 1887, [ =( truth, implies( 'and_star'( Y, implies( implies( X
% 1.32/1.70 , Y ), implies( Y, X ) ) ), X ) ) ] )
% 1.32/1.70 , 0, 5, substitution( 0, [ :=( X, implies( Y, X ) ), :=( Y, X ), :=( Z, Y )] )
% 1.32/1.70 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1889, [ =( implies( 'and_star'( X, implies( 'and_star'( implies( Y
% 1.32/1.70 , X ), X ), Y ) ), Y ), truth ) ] )
% 1.32/1.70 , clause( 1888, [ =( truth, implies( 'and_star'( X, implies( 'and_star'(
% 1.32/1.70 implies( Y, X ), X ), Y ) ), Y ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 1204, [ =( implies( 'and_star'( Y, implies( 'and_star'( implies( X
% 1.32/1.70 , Y ), Y ), X ) ), X ), truth ) ] )
% 1.32/1.70 , clause( 1889, [ =( implies( 'and_star'( X, implies( 'and_star'( implies(
% 1.32/1.70 Y, X ), X ), Y ) ), Y ), truth ) ] )
% 1.32/1.70 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.70 )] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1891, [ =( truth, implies( 'and_star'( 'and_star'( implies(
% 1.32/1.70 'and_star'( X, Y ), Z ), Y ), X ), Z ) ) ] )
% 1.32/1.70 , clause( 149, [ =( implies( 'and_star'( 'and_star'( implies( 'and_star'( Y
% 1.32/1.70 , X ), Z ), X ), Y ), Z ), truth ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1896, [ =( truth, implies( 'and_star'( 'and_star'( truth, implies(
% 1.32/1.70 'and_star'( implies( Y, X ), X ), Y ) ), X ), Y ) ) ] )
% 1.32/1.70 , clause( 1204, [ =( implies( 'and_star'( Y, implies( 'and_star'( implies(
% 1.32/1.70 X, Y ), Y ), X ) ), X ), truth ) ] )
% 1.32/1.70 , 0, clause( 1891, [ =( truth, implies( 'and_star'( 'and_star'( implies(
% 1.32/1.70 'and_star'( X, Y ), Z ), Y ), X ), Z ) ) ] )
% 1.32/1.70 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.32/1.70 :=( X, X ), :=( Y, implies( 'and_star'( implies( Y, X ), X ), Y ) ), :=(
% 1.32/1.70 Z, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 paramod(
% 1.32/1.70 clause( 1897, [ =( truth, implies( 'and_star'( implies( 'and_star'( implies(
% 1.32/1.70 X, Y ), Y ), X ), Y ), X ) ) ] )
% 1.32/1.70 , clause( 14, [ =( 'and_star'( truth, X ), X ) ] )
% 1.32/1.70 , 0, clause( 1896, [ =( truth, implies( 'and_star'( 'and_star'( truth,
% 1.32/1.70 implies( 'and_star'( implies( Y, X ), X ), Y ) ), X ), Y ) ) ] )
% 1.32/1.70 , 0, 4, substitution( 0, [ :=( X, implies( 'and_star'( implies( X, Y ), Y )
% 1.32/1.70 , X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1898, [ =( implies( 'and_star'( implies( 'and_star'( implies( X, Y
% 1.32/1.70 ), Y ), X ), Y ), X ), truth ) ] )
% 1.32/1.70 , clause( 1897, [ =( truth, implies( 'and_star'( implies( 'and_star'(
% 1.32/1.70 implies( X, Y ), Y ), X ), Y ), X ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 1290, [ =( implies( 'and_star'( implies( 'and_star'( implies( Y, X
% 1.32/1.70 ), X ), Y ), X ), Y ), truth ) ] )
% 1.32/1.70 , clause( 1898, [ =( implies( 'and_star'( implies( 'and_star'( implies( X,
% 1.32/1.70 Y ), Y ), X ), Y ), X ), truth ) ] )
% 1.32/1.70 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.32/1.70 )] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1899, [ =( truth, implies( 'and_star'( implies( 'and_star'( implies(
% 1.32/1.70 X, Y ), Y ), X ), Y ), X ) ) ] )
% 1.32/1.70 , clause( 1290, [ =( implies( 'and_star'( implies( 'and_star'( implies( Y,
% 1.32/1.70 X ), X ), Y ), X ), Y ), truth ) ] )
% 1.32/1.70 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 eqswap(
% 1.32/1.70 clause( 1900, [ ~( =( truth, implies( 'and_star'( implies( 'and_star'(
% 1.32/1.70 implies( a, b ), b ), a ), b ), a ) ) ) ] )
% 1.32/1.70 , clause( 145, [ ~( =( implies( 'and_star'( implies( 'and_star'( implies( a
% 1.32/1.70 , b ), b ), a ), b ), a ), truth ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [] )).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 resolution(
% 1.32/1.70 clause( 1901, [] )
% 1.32/1.70 , clause( 1900, [ ~( =( truth, implies( 'and_star'( implies( 'and_star'(
% 1.32/1.70 implies( a, b ), b ), a ), b ), a ) ) ) ] )
% 1.32/1.70 , 0, clause( 1899, [ =( truth, implies( 'and_star'( implies( 'and_star'(
% 1.32/1.70 implies( X, Y ), Y ), X ), Y ), X ) ) ] )
% 1.32/1.70 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 1.32/1.70 ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 subsumption(
% 1.32/1.70 clause( 1294, [] )
% 1.32/1.70 , clause( 1901, [] )
% 1.32/1.70 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 end.
% 1.32/1.70
% 1.32/1.70 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.32/1.70
% 1.32/1.70 Memory use:
% 1.32/1.70
% 1.32/1.70 space for terms: 18344
% 1.32/1.70 space for clauses: 132308
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 clauses generated: 124853
% 1.32/1.70 clauses kept: 1295
% 1.32/1.70 clauses selected: 341
% 1.32/1.70 clauses deleted: 69
% 1.32/1.70 clauses inuse deleted: 13
% 1.32/1.70
% 1.32/1.70 subsentry: 8163
% 1.32/1.70 literals s-matched: 6389
% 1.32/1.70 literals matched: 5969
% 1.32/1.70 full subsumption: 0
% 1.32/1.70
% 1.32/1.70 checksum: 840198819
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 Bliksem ended
%------------------------------------------------------------------------------