TSTP Solution File: LCL159-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:51:06 EDT 2022
% Result : Unsatisfiable 1.01s 1.37s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Jul 2 10:17:40 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.01/1.37 *** allocated 10000 integers for termspace/termends
% 1.01/1.37 *** allocated 10000 integers for clauses
% 1.01/1.37 *** allocated 10000 integers for justifications
% 1.01/1.37 Bliksem 1.12
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 Automatic Strategy Selection
% 1.01/1.37
% 1.01/1.37 Clauses:
% 1.01/1.37 [
% 1.01/1.37 [ =( implies( truth, X ), X ) ],
% 1.01/1.37 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 1.01/1.37 ) ), truth ) ],
% 1.01/1.37 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 1.01/1.37 ,
% 1.01/1.37 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 1.01/1.37 ],
% 1.01/1.37 [ =( or( X, Y ), implies( not( X ), Y ) ) ],
% 1.01/1.37 [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ],
% 1.01/1.37 [ =( or( X, Y ), or( Y, X ) ) ],
% 1.01/1.37 [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 1.01/1.37 [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ],
% 1.01/1.37 [ =( and( X, Y ), and( Y, X ) ) ],
% 1.01/1.37 [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y ) ) ) ],
% 1.01/1.37 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 1.01/1.37 [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 1.01/1.37 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 1.01/1.37 Z ) ) ) ],
% 1.01/1.37 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 1.01/1.37 [ =( not( truth ), falsehood ) ],
% 1.01/1.37 [ ~( =( xor( x, xor( truth, y ) ), xor( xor( x, truth ), y ) ) ) ]
% 1.01/1.37 ] .
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 percentage equality = 1.000000, percentage horn = 1.000000
% 1.01/1.37 This is a pure equality problem
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 Options Used:
% 1.01/1.37
% 1.01/1.37 useres = 1
% 1.01/1.37 useparamod = 1
% 1.01/1.37 useeqrefl = 1
% 1.01/1.37 useeqfact = 1
% 1.01/1.37 usefactor = 1
% 1.01/1.37 usesimpsplitting = 0
% 1.01/1.37 usesimpdemod = 5
% 1.01/1.37 usesimpres = 3
% 1.01/1.37
% 1.01/1.37 resimpinuse = 1000
% 1.01/1.37 resimpclauses = 20000
% 1.01/1.37 substype = eqrewr
% 1.01/1.37 backwardsubs = 1
% 1.01/1.37 selectoldest = 5
% 1.01/1.37
% 1.01/1.37 litorderings [0] = split
% 1.01/1.37 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.37
% 1.01/1.37 termordering = kbo
% 1.01/1.37
% 1.01/1.37 litapriori = 0
% 1.01/1.37 termapriori = 1
% 1.01/1.37 litaposteriori = 0
% 1.01/1.37 termaposteriori = 0
% 1.01/1.37 demodaposteriori = 0
% 1.01/1.37 ordereqreflfact = 0
% 1.01/1.37
% 1.01/1.37 litselect = negord
% 1.01/1.37
% 1.01/1.37 maxweight = 15
% 1.01/1.37 maxdepth = 30000
% 1.01/1.37 maxlength = 115
% 1.01/1.37 maxnrvars = 195
% 1.01/1.37 excuselevel = 1
% 1.01/1.37 increasemaxweight = 1
% 1.01/1.37
% 1.01/1.37 maxselected = 10000000
% 1.01/1.37 maxnrclauses = 10000000
% 1.01/1.37
% 1.01/1.37 showgenerated = 0
% 1.01/1.37 showkept = 0
% 1.01/1.37 showselected = 0
% 1.01/1.37 showdeleted = 0
% 1.01/1.37 showresimp = 1
% 1.01/1.37 showstatus = 2000
% 1.01/1.37
% 1.01/1.37 prologoutput = 1
% 1.01/1.37 nrgoals = 5000000
% 1.01/1.37 totalproof = 1
% 1.01/1.37
% 1.01/1.37 Symbols occurring in the translation:
% 1.01/1.37
% 1.01/1.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.37 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 1.01/1.37 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 1.01/1.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.37 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.01/1.37 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.01/1.37 not [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.01/1.37 or [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.01/1.37 and [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.01/1.37 xor [47, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.01/1.37 'and_star' [48, 2] (w:1, o:51, a:1, s:1, b:0),
% 1.01/1.37 falsehood [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.01/1.37 x [50, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.01/1.37 y [51, 0] (w:1, o:15, a:1, s:1, b:0).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 Starting Search:
% 1.01/1.37
% 1.01/1.37 Resimplifying inuse:
% 1.01/1.37 Done
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 Intermediate Status:
% 1.01/1.37 Generated: 19569
% 1.01/1.37 Kept: 2000
% 1.01/1.37 Inuse: 253
% 1.01/1.37 Deleted: 312
% 1.01/1.37 Deletedinuse: 107
% 1.01/1.37
% 1.01/1.37 Resimplifying inuse:
% 1.01/1.37 Done
% 1.01/1.37
% 1.01/1.37 Resimplifying inuse:
% 1.01/1.37 Done
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 Intermediate Status:
% 1.01/1.37 Generated: 50060
% 1.01/1.37 Kept: 4000
% 1.01/1.37 Inuse: 398
% 1.01/1.37 Deleted: 544
% 1.01/1.37 Deletedinuse: 150
% 1.01/1.37
% 1.01/1.37 Resimplifying inuse:
% 1.01/1.37 Done
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 Bliksems!, er is een bewijs:
% 1.01/1.37 % SZS status Unsatisfiable
% 1.01/1.37 % SZS output start Refutation
% 1.01/1.37
% 1.01/1.37 clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 1.01/1.37 X, Z ) ) ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 1.01/1.37 ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 1.01/1.37 truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 5, [ =( or( X, or( Y, Z ) ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 8, [ =( and( X, and( Y, Z ) ), and( and( X, Y ), Z ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 1.01/1.37 ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 11, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 13, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 14, [ ~( =( xor( x, xor( truth, y ) ), xor( xor( x, truth ), y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 23, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 24, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 1.01/1.37 , not( X ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 30, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 1.01/1.37 ) ), implies( X, Y ) ), implies( X, Y ) ), implies( implies( Y, Z ),
% 1.01/1.37 implies( X, Z ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 1.01/1.37 )
% 1.01/1.37 .
% 1.01/1.37 clause( 49, [ =( implies( implies( Z, X ), implies( Z, implies( implies( X
% 1.01/1.37 , Y ), Y ) ) ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 51, [ =( implies( X, X ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 52, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 53, [ =( or( X, not( X ) ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 55, [ =( or( not( X ), X ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 56, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 .
% 1.01/1.37 clause( 57, [ =( implies( X, truth ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 58, [ =( implies( falsehood, X ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 60, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 65, [ =( or( or( X, Y ), Z ), or( or( Y, Z ), X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 82, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 93, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 94, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 111, [ =( not( not( falsehood ) ), falsehood ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 112, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 133, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 134, [ =( or( not( falsehood ), X ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 135, [ =( and( falsehood, X ), falsehood ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 137, [ =( or( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 140, [ =( and( X, falsehood ), falsehood ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 141, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 .
% 1.01/1.37 clause( 325, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 .
% 1.01/1.37 clause( 326, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 .
% 1.01/1.37 clause( 346, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 1.01/1.37 falsehood ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 847, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 861, [ =( not( falsehood ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 863, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 868, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 873, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 874, [ =( implies( X, falsehood ), not( X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 876, [ =( or( or( Y, falsehood ), X ), or( Y, X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 877, [ =( or( X, falsehood ), X ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 885, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 919, [ =( not( or( Y, X ) ), not( or( X, Y ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 938, [ =( not( or( X, not( Y ) ) ), and( not( X ), Y ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 939, [ =( not( or( not( Y ), X ) ), and( Y, not( X ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 941, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 967, [ =( and( X, truth ), X ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 968, [ =( xor( X, truth ), not( X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 969, [ =( xor( truth, X ), not( X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 970, [ ~( =( xor( x, not( y ) ), xor( not( x ), y ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 985, [ =( and( truth, X ), X ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1034, [ =( or( implies( X, Y ), Z ), implies( X, or( Y, Z ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 .
% 1.01/1.37 clause( 1036, [ =( or( Y, not( X ) ), implies( X, Y ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1093, [ =( implies( or( Y, X ), Z ), implies( or( X, Y ), Z ) ) ]
% 1.01/1.37 )
% 1.01/1.37 .
% 1.01/1.37 clause( 1094, [ =( and( Y, not( X ) ), not( implies( Y, X ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1095, [ =( and( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1105, [ =( not( implies( Y, not( X ) ) ), and( Y, X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1107, [ =( implies( or( X, Y ), and( X, Y ) ), xor( X, not( Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1130, [ ~( =( xor( not( x ), y ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1131, [ ~( =( xor( y, not( x ) ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1168, [ =( and( Z, implies( X, not( Y ) ) ), not( implies( Z, and(
% 1.01/1.37 X, Y ) ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1175, [ =( implies( X, not( Y ) ), not( and( X, Y ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1181, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z )
% 1.01/1.37 ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1204, [ =( implies( and( Y, X ), and( X, Y ) ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1293, [ =( implies( and( implies( Z, and( X, Y ) ), Z ), and( Y, X
% 1.01/1.37 ) ), truth ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 1294, [ =( implies( Z, and( X, Y ) ), implies( Z, and( Y, X ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 .
% 1.01/1.37 clause( 4513, [ =( implies( or( Y, X ), and( X, Y ) ), xor( X, not( Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 4514, [ =( xor( X, not( Y ) ), xor( Y, not( X ) ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 4543, [ =( xor( Y, not( X ) ), xor( not( Y ), X ) ) ] )
% 1.01/1.37 .
% 1.01/1.37 clause( 4544, [] )
% 1.01/1.37 .
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 % SZS output end Refutation
% 1.01/1.37 found a proof!
% 1.01/1.37
% 1.01/1.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.01/1.37
% 1.01/1.37 initialclauses(
% 1.01/1.37 [ clause( 4546, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , clause( 4547, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.01/1.37 implies( X, Z ) ) ), truth ) ] )
% 1.01/1.37 , clause( 4548, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.01/1.37 ), X ) ) ] )
% 1.01/1.37 , clause( 4549, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 1.01/1.37 ) ), truth ) ] )
% 1.01/1.37 , clause( 4550, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 4551, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 1.01/1.37 , clause( 4552, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , clause( 4553, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 4554, [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ] )
% 1.01/1.37 , clause( 4555, [ =( and( X, Y ), and( Y, X ) ) ] )
% 1.01/1.37 , clause( 4556, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , clause( 4557, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.01/1.37 , clause( 4558, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 4559, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 1.01/1.37 'and_star'( Y, Z ) ) ) ] )
% 1.01/1.37 , clause( 4560, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 1.01/1.37 , clause( 4561, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 , clause( 4562, [ ~( =( xor( x, xor( truth, y ) ), xor( xor( x, truth ), y
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 ] ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , clause( 4546, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 1.01/1.37 X, Z ) ) ), truth ) ] )
% 1.01/1.37 , clause( 4547, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.01/1.37 implies( X, Z ) ) ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , clause( 4548, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.01/1.37 ), X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 1.01/1.37 truth ) ] )
% 1.01/1.37 , clause( 4549, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 1.01/1.37 ) ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4574, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , clause( 4550, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , clause( 4574, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4579, [ =( or( X, or( Y, Z ) ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , clause( 4551, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 5, [ =( or( X, or( Y, Z ) ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , clause( 4579, [ =( or( X, or( Y, Z ) ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , clause( 4552, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4590, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , clause( 4553, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , clause( 4590, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4597, [ =( and( X, and( Y, Z ) ), and( and( X, Y ), Z ) ) ] )
% 1.01/1.37 , clause( 4554, [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 8, [ =( and( X, and( Y, Z ) ), and( and( X, Y ), Z ) ) ] )
% 1.01/1.37 , clause( 4597, [ =( and( X, and( Y, Z ) ), and( and( X, Y ), Z ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 1.01/1.37 , clause( 4555, [ =( and( X, Y ), and( Y, X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4612, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , clause( 4556, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 4612, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X,
% 1.01/1.37 Y ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 11, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.01/1.37 , clause( 4557, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 13, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 , clause( 4561, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 14, [ ~( =( xor( x, xor( truth, y ) ), xor( xor( x, truth ), y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 4562, [ ~( =( xor( x, xor( truth, y ) ), xor( xor( x, truth ), y
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4645, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 1.01/1.37 ), implies( X, Z ) ) ) ) ] )
% 1.01/1.37 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.01/1.37 implies( X, Z ) ) ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4649, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 1.01/1.37 , Y ), Y ) ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4645, [ =( truth, implies( implies( X, Y ), implies( implies(
% 1.01/1.37 Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.01/1.37 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 1.01/1.37 ), :=( Y, X ), :=( Z, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4651, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4649, [ =( truth, implies( implies( truth, X ), implies(
% 1.01/1.37 implies( X, Y ), Y ) ) ) ] )
% 1.01/1.37 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4652, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4651, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 1.01/1.37 , clause( 4652, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4654, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4655, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 1.01/1.37 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4654, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 1.01/1.37 )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 23, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 1.01/1.37 , clause( 4655, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4657, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 1.01/1.37 , clause( 23, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4658, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 1.01/1.37 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4657, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 1.01/1.37 , [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4661, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 1.01/1.37 , clause( 4658, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 24, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 1.01/1.37 , clause( 4661, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4663, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 1.01/1.37 ), not( X ) ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.01/1.37 ), X ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, not( X ) ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 1.01/1.37 , not( X ) ) ) ] )
% 1.01/1.37 , clause( 4663, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X
% 1.01/1.37 ) ), not( X ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4674, [ =( implies( implies( implies( implies( X, Y ), implies( Z,
% 1.01/1.37 Y ) ), implies( Z, X ) ), implies( Z, X ) ), implies( truth, implies(
% 1.01/1.37 implies( X, Y ), implies( Z, Y ) ) ) ) ] )
% 1.01/1.37 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.01/1.37 implies( X, Z ) ) ), truth ) ] )
% 1.01/1.37 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.01/1.37 ), X ) ) ] )
% 1.01/1.37 , 0, 17, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.01/1.37 substitution( 1, [ :=( X, implies( implies( X, Y ), implies( Z, Y ) ) ),
% 1.01/1.37 :=( Y, implies( Z, X ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4675, [ =( implies( implies( implies( implies( X, Y ), implies( Z,
% 1.01/1.37 Y ) ), implies( Z, X ) ), implies( Z, X ) ), implies( implies( X, Y ),
% 1.01/1.37 implies( Z, Y ) ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4674, [ =( implies( implies( implies( implies( X, Y ), implies(
% 1.01/1.37 Z, Y ) ), implies( Z, X ) ), implies( Z, X ) ), implies( truth, implies(
% 1.01/1.37 implies( X, Y ), implies( Z, Y ) ) ) ) ] )
% 1.01/1.37 , 0, 16, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z, Y
% 1.01/1.37 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 30, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 1.01/1.37 ) ), implies( X, Y ) ), implies( X, Y ) ), implies( implies( Y, Z ),
% 1.01/1.37 implies( X, Z ) ) ) ] )
% 1.01/1.37 , clause( 4675, [ =( implies( implies( implies( implies( X, Y ), implies( Z
% 1.01/1.37 , Y ) ), implies( Z, X ) ), implies( Z, X ) ), implies( implies( X, Y ),
% 1.01/1.37 implies( Z, Y ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4678, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.01/1.37 ), X ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 1.01/1.37 , :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4678, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 1.01/1.37 ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4681, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 1.01/1.37 ), implies( X, Z ) ) ) ) ] )
% 1.01/1.37 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.01/1.37 implies( X, Z ) ) ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4688, [ =( truth, implies( implies( X, Y ), implies( truth, implies(
% 1.01/1.37 X, implies( implies( Y, Z ), Z ) ) ) ) ) ] )
% 1.01/1.37 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, clause( 4681, [ =( truth, implies( implies( X, Y ), implies( implies(
% 1.01/1.37 Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.01/1.37 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( Y, Z ), Z ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4690, [ =( truth, implies( implies( X, Y ), implies( X, implies(
% 1.01/1.37 implies( Y, Z ), Z ) ) ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4688, [ =( truth, implies( implies( X, Y ), implies( truth,
% 1.01/1.37 implies( X, implies( implies( Y, Z ), Z ) ) ) ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, implies( X, implies( implies( Y, Z ), Z )
% 1.01/1.37 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4691, [ =( implies( implies( X, Y ), implies( X, implies( implies(
% 1.01/1.37 Y, Z ), Z ) ) ), truth ) ] )
% 1.01/1.37 , clause( 4690, [ =( truth, implies( implies( X, Y ), implies( X, implies(
% 1.01/1.37 implies( Y, Z ), Z ) ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 49, [ =( implies( implies( Z, X ), implies( Z, implies( implies( X
% 1.01/1.37 , Y ), Y ) ) ), truth ) ] )
% 1.01/1.37 , clause( 4691, [ =( implies( implies( X, Y ), implies( X, implies( implies(
% 1.01/1.37 Y, Z ), Z ) ) ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4692, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4696, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4692, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 1.01/1.37 , :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4698, [ =( truth, implies( X, X ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4696, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 1.01/1.37 :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4699, [ =( implies( X, X ), truth ) ] )
% 1.01/1.37 , clause( 4698, [ =( truth, implies( X, X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 51, [ =( implies( X, X ), truth ) ] )
% 1.01/1.37 , clause( 4699, [ =( implies( X, X ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4700, [ =( truth, implies( X, X ) ) ] )
% 1.01/1.37 , clause( 51, [ =( implies( X, X ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4702, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 1.01/1.37 , clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, clause( 4700, [ =( truth, implies( X, X ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4703, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 1.01/1.37 , clause( 4702, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 52, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 1.01/1.37 , clause( 4703, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4704, [ =( truth, implies( X, X ) ) ] )
% 1.01/1.37 , clause( 51, [ =( implies( X, X ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4706, [ =( truth, or( X, not( X ) ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4704, [ =( truth, implies( X, X ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 1.01/1.37 1, [ :=( X, not( X ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4707, [ =( or( X, not( X ) ), truth ) ] )
% 1.01/1.37 , clause( 4706, [ =( truth, or( X, not( X ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 53, [ =( or( X, not( X ) ), truth ) ] )
% 1.01/1.37 , clause( 4707, [ =( or( X, not( X ) ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4708, [ =( truth, or( X, not( X ) ) ) ] )
% 1.01/1.37 , clause( 53, [ =( or( X, not( X ) ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4709, [ =( truth, or( not( X ), X ) ) ] )
% 1.01/1.37 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4708, [ =( truth, or( X, not( X ) ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 1.01/1.37 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4712, [ =( or( not( X ), X ), truth ) ] )
% 1.01/1.37 , clause( 4709, [ =( truth, or( not( X ), X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 55, [ =( or( not( X ), X ), truth ) ] )
% 1.01/1.37 , clause( 4712, [ =( or( not( X ), X ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4715, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 1.01/1.37 ) ), truth ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 1.01/1.37 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 56, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4715, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth )
% 1.01/1.37 ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4718, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4719, [ =( truth, implies( X, truth ) ) ] )
% 1.01/1.37 , clause( 52, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 1.01/1.37 , 0, clause( 4718, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, truth )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4721, [ =( implies( X, truth ), truth ) ] )
% 1.01/1.37 , clause( 4719, [ =( truth, implies( X, truth ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 57, [ =( implies( X, truth ), truth ) ] )
% 1.01/1.37 , clause( 4721, [ =( implies( X, truth ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4723, [ =( truth, implies( X, truth ) ) ] )
% 1.01/1.37 , clause( 57, [ =( implies( X, truth ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4726, [ =( truth, or( X, truth ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4723, [ =( truth, implies( X, truth ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 1.01/1.37 , [ :=( X, not( X ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4727, [ =( truth, implies( falsehood, X ) ) ] )
% 1.01/1.37 , clause( 24, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 1.01/1.37 , 0, clause( 4726, [ =( truth, or( X, truth ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4728, [ =( implies( falsehood, X ), truth ) ] )
% 1.01/1.37 , clause( 4727, [ =( truth, implies( falsehood, X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 58, [ =( implies( falsehood, X ), truth ) ] )
% 1.01/1.37 , clause( 4728, [ =( implies( falsehood, X ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4732, [ =( implies( implies( X, falsehood ), falsehood ), implies(
% 1.01/1.37 truth, X ) ) ] )
% 1.01/1.37 , clause( 58, [ =( implies( falsehood, X ), truth ) ] )
% 1.01/1.37 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.01/1.37 ), X ) ) ] )
% 1.01/1.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, falsehood )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4733, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4732, [ =( implies( implies( X, falsehood ), falsehood ),
% 1.01/1.37 implies( truth, X ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 60, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 1.01/1.37 , clause( 4733, [ =( implies( implies( X, falsehood ), falsehood ), X ) ]
% 1.01/1.37 )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4735, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 1.01/1.37 , clause( 5, [ =( or( X, or( Y, Z ) ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4738, [ =( or( or( X, Y ), Z ), or( or( Y, Z ), X ) ) ] )
% 1.01/1.37 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4735, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 65, [ =( or( or( X, Y ), Z ), or( or( Y, Z ), X ) ) ] )
% 1.01/1.37 , clause( 4738, [ =( or( or( X, Y ), Z ), or( or( Y, Z ), X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4753, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ] )
% 1.01/1.37 , clause( 60, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4754, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4753, [ =( X, implies( implies( X, falsehood ), falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 1.01/1.37 substitution( 1, [ :=( X, not( X ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4755, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4754, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 82, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 1.01/1.37 , clause( 4755, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4757, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4758, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 1.01/1.37 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4757, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 1.01/1.37 )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4760, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 1.01/1.37 , clause( 4758, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 93, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 1.01/1.37 , clause( 4760, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4763, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4765, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ] )
% 1.01/1.37 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4763, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, truth
% 1.01/1.37 )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4767, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 , clause( 4765, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 94, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 , clause( 4767, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4769, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 82, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4771, [ =( not( not( falsehood ) ), implies( truth, falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 55, [ =( or( not( X ), X ), truth ) ] )
% 1.01/1.37 , 0, clause( 4769, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [ :=( X
% 1.01/1.37 , not( falsehood ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4772, [ =( not( not( falsehood ) ), falsehood ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4771, [ =( not( not( falsehood ) ), implies( truth, falsehood
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 111, [ =( not( not( falsehood ) ), falsehood ) ] )
% 1.01/1.37 , clause( 4772, [ =( not( not( falsehood ) ), falsehood ) ] )
% 1.01/1.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4774, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 82, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4775, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4774, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4778, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4775, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 112, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 1.01/1.37 , clause( 4778, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4780, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4783, [ =( and( X, not( falsehood ) ), not( or( not( X ), falsehood
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , clause( 111, [ =( not( not( falsehood ) ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4780, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, not(
% 1.01/1.37 falsehood ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4784, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 , clause( 94, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 , 0, clause( 4783, [ =( and( X, not( falsehood ) ), not( or( not( X ),
% 1.01/1.37 falsehood ) ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 133, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 , clause( 4784, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4787, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4789, [ =( or( not( falsehood ), X ), implies( falsehood, X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 111, [ =( not( not( falsehood ) ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4787, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, not( falsehood ) )
% 1.01/1.37 , :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4790, [ =( or( not( falsehood ), X ), truth ) ] )
% 1.01/1.37 , clause( 58, [ =( implies( falsehood, X ), truth ) ] )
% 1.01/1.37 , 0, clause( 4789, [ =( or( not( falsehood ), X ), implies( falsehood, X )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 134, [ =( or( not( falsehood ), X ), truth ) ] )
% 1.01/1.37 , clause( 4790, [ =( or( not( falsehood ), X ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4793, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4795, [ =( and( falsehood, X ), not( truth ) ) ] )
% 1.01/1.37 , clause( 134, [ =( or( not( falsehood ), X ), truth ) ] )
% 1.01/1.37 , 0, clause( 4793, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.01/1.37 falsehood ), :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4796, [ =( and( falsehood, X ), falsehood ) ] )
% 1.01/1.37 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4795, [ =( and( falsehood, X ), not( truth ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 135, [ =( and( falsehood, X ), falsehood ) ] )
% 1.01/1.37 , clause( 4796, [ =( and( falsehood, X ), falsehood ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4798, [ =( truth, or( not( falsehood ), X ) ) ] )
% 1.01/1.37 , clause( 134, [ =( or( not( falsehood ), X ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4799, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 1.01/1.37 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4798, [ =( truth, or( not( falsehood ), X ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, not( falsehood ) ), :=( Y, X )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4802, [ =( or( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 , clause( 4799, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 137, [ =( or( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 , clause( 4802, [ =( or( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4803, [ =( falsehood, and( falsehood, X ) ) ] )
% 1.01/1.37 , clause( 135, [ =( and( falsehood, X ), falsehood ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4804, [ =( falsehood, and( X, falsehood ) ) ] )
% 1.01/1.37 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4803, [ =( falsehood, and( falsehood, X ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4807, [ =( and( X, falsehood ), falsehood ) ] )
% 1.01/1.37 , clause( 4804, [ =( falsehood, and( X, falsehood ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 140, [ =( and( X, falsehood ), falsehood ) ] )
% 1.01/1.37 , clause( 4807, [ =( and( X, falsehood ), falsehood ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4809, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4811, [ =( xor( X, falsehood ), or( and( X, not( falsehood ) ),
% 1.01/1.37 falsehood ) ) ] )
% 1.01/1.37 , clause( 140, [ =( and( X, falsehood ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4809, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 1.01/1.37 , Y ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.01/1.37 X ), :=( Y, falsehood )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4812, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 133, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 1.01/1.37 , 0, clause( 4811, [ =( xor( X, falsehood ), or( and( X, not( falsehood ) )
% 1.01/1.37 , falsehood ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4813, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 4812, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 141, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4813, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4814, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 141, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4815, [ =( xor( X, falsehood ), or( falsehood, and( X, truth ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4814, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, and( X, truth ) ), :=( Y, falsehood )] )
% 1.01/1.37 , substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4818, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 4815, [ =( xor( X, falsehood ), or( falsehood, and( X, truth ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 325, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4818, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4819, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 141, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4820, [ =( xor( X, falsehood ), or( and( truth, X ), falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4819, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 1.01/1.37 , [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4823, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 4820, [ =( xor( X, falsehood ), or( and( truth, X ), falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 326, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4823, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4825, [ =( implies( implies( Y, not( X ) ), not( X ) ), implies( or(
% 1.01/1.37 X, Y ), Y ) ) ] )
% 1.01/1.37 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 1.01/1.37 ), not( X ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4828, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 1.01/1.37 ), implies( truth, not( falsehood ) ) ) ] )
% 1.01/1.37 , clause( 137, [ =( or( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 , 0, clause( 4825, [ =( implies( implies( Y, not( X ) ), not( X ) ),
% 1.01/1.37 implies( or( X, Y ), Y ) ) ] )
% 1.01/1.37 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, not( falsehood ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4829, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 1.01/1.37 ), not( falsehood ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4828, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 1.01/1.37 X ) ), implies( truth, not( falsehood ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, not( falsehood ) )] ), substitution( 1, [
% 1.01/1.37 :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4830, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 1.01/1.37 falsehood ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4829, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 1.01/1.37 X ) ), not( falsehood ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 346, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 1.01/1.37 falsehood ) ) ] )
% 1.01/1.37 , clause( 4830, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 1.01/1.37 falsehood ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4833, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 56, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4835, [ =( truth, implies( truth, implies( X, not( falsehood ) ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 134, [ =( or( not( falsehood ), X ), truth ) ] )
% 1.01/1.37 , 0, clause( 4833, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.01/1.37 not( falsehood ) ), :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4836, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4835, [ =( truth, implies( truth, implies( X, not( falsehood )
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, implies( X, not( falsehood ) ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4837, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 , clause( 4836, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 847, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 , clause( 4837, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4838, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 1.01/1.37 , clause( 847, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4843, [ =( truth, implies( implies( not( falsehood ), not( X ) ),
% 1.01/1.37 not( X ) ) ) ] )
% 1.01/1.37 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 1.01/1.37 ), not( X ) ) ) ] )
% 1.01/1.37 , 0, clause( 4838, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( falsehood ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, or( X, not( falsehood ) ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4844, [ =( truth, implies( or( falsehood, not( X ) ), not( X ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4843, [ =( truth, implies( implies( not( falsehood ), not( X )
% 1.01/1.37 ), not( X ) ) ) ] )
% 1.01/1.37 , 0, 3, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4845, [ =( truth, not( falsehood ) ) ] )
% 1.01/1.37 , clause( 346, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 1.01/1.37 falsehood ) ) ] )
% 1.01/1.37 , 0, clause( 4844, [ =( truth, implies( or( falsehood, not( X ) ), not( X )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4846, [ =( not( falsehood ), truth ) ] )
% 1.01/1.37 , clause( 4845, [ =( truth, not( falsehood ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 861, [ =( not( falsehood ), truth ) ] )
% 1.01/1.37 , clause( 4846, [ =( not( falsehood ), truth ) ] )
% 1.01/1.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4848, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4850, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 1.01/1.37 , clause( 861, [ =( not( falsehood ), truth ) ] )
% 1.01/1.37 , 0, clause( 4848, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, falsehood ), :=( Y
% 1.01/1.37 , X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4851, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4850, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 863, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , clause( 4851, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4854, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 1.01/1.37 , clause( 93, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4855, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 1.01/1.37 , clause( 863, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4854, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.01/1.37 X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 868, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 1.01/1.37 , clause( 4855, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4857, [ =( X, or( falsehood, X ) ) ] )
% 1.01/1.37 , clause( 863, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4859, [ =( and( X, truth ), xor( X, falsehood ) ) ] )
% 1.01/1.37 , clause( 325, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, clause( 4857, [ =( X, or( falsehood, X ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and( X
% 1.01/1.37 , truth ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4860, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 1.01/1.37 , clause( 4859, [ =( and( X, truth ), xor( X, falsehood ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 873, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 1.01/1.37 , clause( 4860, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4862, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 112, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4863, [ =( not( X ), implies( X, falsehood ) ) ] )
% 1.01/1.37 , clause( 863, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4862, [ =( not( X ), implies( or( falsehood, X ), falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4864, [ =( implies( X, falsehood ), not( X ) ) ] )
% 1.01/1.37 , clause( 4863, [ =( not( X ), implies( X, falsehood ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 874, [ =( implies( X, falsehood ), not( X ) ) ] )
% 1.01/1.37 , clause( 4864, [ =( implies( X, falsehood ), not( X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4866, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 1.01/1.37 , clause( 5, [ =( or( X, or( Y, Z ) ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4871, [ =( or( or( X, falsehood ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , clause( 863, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4866, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 1.01/1.37 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, falsehood ), :=( Z, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 876, [ =( or( or( Y, falsehood ), X ), or( Y, X ) ) ] )
% 1.01/1.37 , clause( 4871, [ =( or( or( X, falsehood ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4876, [ =( X, or( falsehood, X ) ) ] )
% 1.01/1.37 , clause( 863, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4877, [ =( X, or( X, falsehood ) ) ] )
% 1.01/1.37 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4876, [ =( X, or( falsehood, X ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4880, [ =( or( X, falsehood ), X ) ] )
% 1.01/1.37 , clause( 4877, [ =( X, or( X, falsehood ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 877, [ =( or( X, falsehood ), X ) ] )
% 1.01/1.37 , clause( 4880, [ =( or( X, falsehood ), X ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4881, [ =( X, or( X, falsehood ) ) ] )
% 1.01/1.37 , clause( 877, [ =( or( X, falsehood ), X ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4885, [ =( and( truth, X ), xor( X, falsehood ) ) ] )
% 1.01/1.37 , clause( 326, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, clause( 4881, [ =( X, or( X, falsehood ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and(
% 1.01/1.37 truth, X ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4886, [ =( not( not( X ) ), xor( X, falsehood ) ) ] )
% 1.01/1.37 , clause( 868, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 1.01/1.37 , 0, clause( 4885, [ =( and( truth, X ), xor( X, falsehood ) ) ] )
% 1.01/1.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4887, [ =( not( not( X ) ), and( X, truth ) ) ] )
% 1.01/1.37 , clause( 873, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 1.01/1.37 , 0, clause( 4886, [ =( not( not( X ) ), xor( X, falsehood ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4888, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 1.01/1.37 , clause( 4887, [ =( not( not( X ) ), and( X, truth ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 885, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 1.01/1.37 , clause( 4888, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4889, [ =( or( or( Y, Z ), X ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , clause( 65, [ =( or( or( X, Y ), Z ), or( or( Y, Z ), X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4890, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 82, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4893, [ =( not( or( X, Y ) ), implies( or( or( falsehood, X ), Y )
% 1.01/1.37 , falsehood ) ) ] )
% 1.01/1.37 , clause( 4889, [ =( or( or( Y, Z ), X ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , 0, clause( 4890, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, falsehood ), :=( Y, X ), :=( Z, Y )] ),
% 1.01/1.37 substitution( 1, [ :=( X, or( X, Y ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4894, [ =( not( or( X, Y ) ), implies( or( or( Y, falsehood ), X )
% 1.01/1.37 , falsehood ) ) ] )
% 1.01/1.37 , clause( 4889, [ =( or( or( Y, Z ), X ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , 0, clause( 4893, [ =( not( or( X, Y ) ), implies( or( or( falsehood, X )
% 1.01/1.37 , Y ), falsehood ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, falsehood ), :=( Z, X )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4897, [ =( not( or( X, Y ) ), not( or( or( Y, falsehood ), X ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 874, [ =( implies( X, falsehood ), not( X ) ) ] )
% 1.01/1.37 , 0, clause( 4894, [ =( not( or( X, Y ) ), implies( or( or( Y, falsehood )
% 1.01/1.37 , X ), falsehood ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, or( or( Y, falsehood ), X ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4898, [ =( not( or( X, Y ) ), not( or( Y, X ) ) ) ] )
% 1.01/1.37 , clause( 876, [ =( or( or( Y, falsehood ), X ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4897, [ =( not( or( X, Y ) ), not( or( or( Y, falsehood ), X )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 919, [ =( not( or( Y, X ) ), not( or( X, Y ) ) ) ] )
% 1.01/1.37 , clause( 4898, [ =( not( or( X, Y ) ), not( or( Y, X ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4899, [ =( not( X ), implies( X, falsehood ) ) ] )
% 1.01/1.37 , clause( 874, [ =( implies( X, falsehood ), not( X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4902, [ =( not( implies( X, falsehood ) ), X ) ] )
% 1.01/1.37 , clause( 60, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 1.01/1.37 , 0, clause( 4899, [ =( not( X ), implies( X, falsehood ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 1.01/1.37 X, falsehood ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4903, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , clause( 874, [ =( implies( X, falsehood ), not( X ) ) ] )
% 1.01/1.37 , 0, clause( 4902, [ =( not( implies( X, falsehood ) ), X ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , clause( 4903, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4906, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4909, [ =( and( not( X ), Y ), not( or( X, not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , 0, clause( 4906, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 1.01/1.37 ) ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4911, [ =( not( or( X, not( Y ) ) ), and( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 4909, [ =( and( not( X ), Y ), not( or( X, not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 938, [ =( not( or( X, not( Y ) ) ), and( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 4911, [ =( not( or( X, not( Y ) ) ), and( not( X ), Y ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4914, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4918, [ =( and( X, not( Y ) ), not( or( not( X ), Y ) ) ) ] )
% 1.01/1.37 , clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , 0, clause( 4914, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, not( Y ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4920, [ =( not( or( not( X ), Y ) ), and( X, not( Y ) ) ) ] )
% 1.01/1.37 , clause( 4918, [ =( and( X, not( Y ) ), not( or( not( X ), Y ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 939, [ =( not( or( not( Y ), X ) ), and( Y, not( X ) ) ) ] )
% 1.01/1.37 , clause( 4920, [ =( not( or( not( X ), Y ) ), and( X, not( Y ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4922, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4923, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 , clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , 0, clause( 4922, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 1.01/1.37 ) ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 941, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 , clause( 4923, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4927, [ =( and( X, truth ), X ) ] )
% 1.01/1.37 , clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , 0, clause( 885, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 967, [ =( and( X, truth ), X ) ] )
% 1.01/1.37 , clause( 4927, [ =( and( X, truth ), X ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4930, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4934, [ =( xor( X, truth ), or( and( X, not( truth ) ), not( X ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 967, [ =( and( X, truth ), X ) ] )
% 1.01/1.37 , 0, clause( 4930, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 1.01/1.37 , Y ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.01/1.37 X ), :=( Y, truth )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4935, [ =( xor( X, truth ), or( and( X, falsehood ), not( X ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4934, [ =( xor( X, truth ), or( and( X, not( truth ) ), not( X
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4936, [ =( xor( X, truth ), or( falsehood, not( X ) ) ) ] )
% 1.01/1.37 , clause( 140, [ =( and( X, falsehood ), falsehood ) ] )
% 1.01/1.37 , 0, clause( 4935, [ =( xor( X, truth ), or( and( X, falsehood ), not( X )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4937, [ =( xor( X, truth ), not( X ) ) ] )
% 1.01/1.37 , clause( 863, [ =( or( falsehood, X ), X ) ] )
% 1.01/1.37 , 0, clause( 4936, [ =( xor( X, truth ), or( falsehood, not( X ) ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 1.01/1.37 X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 968, [ =( xor( X, truth ), not( X ) ) ] )
% 1.01/1.37 , clause( 4937, [ =( xor( X, truth ), not( X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4939, [ =( not( X ), xor( X, truth ) ) ] )
% 1.01/1.37 , clause( 968, [ =( xor( X, truth ), not( X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4940, [ =( not( X ), xor( truth, X ) ) ] )
% 1.01/1.37 , clause( 11, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4939, [ =( not( X ), xor( X, truth ) ) ] )
% 1.01/1.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 1.01/1.37 , [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4943, [ =( xor( truth, X ), not( X ) ) ] )
% 1.01/1.37 , clause( 4940, [ =( not( X ), xor( truth, X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 969, [ =( xor( truth, X ), not( X ) ) ] )
% 1.01/1.37 , clause( 4943, [ =( xor( truth, X ), not( X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4945, [ ~( =( xor( xor( x, truth ), y ), xor( x, xor( truth, y ) )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , clause( 14, [ ~( =( xor( x, xor( truth, y ) ), xor( xor( x, truth ), y )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4947, [ ~( =( xor( xor( x, truth ), y ), xor( x, not( y ) ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 969, [ =( xor( truth, X ), not( X ) ) ] )
% 1.01/1.37 , 0, clause( 4945, [ ~( =( xor( xor( x, truth ), y ), xor( x, xor( truth, y
% 1.01/1.37 ) ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, y )] ), substitution( 1, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4948, [ ~( =( xor( not( x ), y ), xor( x, not( y ) ) ) ) ] )
% 1.01/1.37 , clause( 968, [ =( xor( X, truth ), not( X ) ) ] )
% 1.01/1.37 , 0, clause( 4947, [ ~( =( xor( xor( x, truth ), y ), xor( x, not( y ) ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 3, substitution( 0, [ :=( X, x )] ), substitution( 1, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4949, [ ~( =( xor( x, not( y ) ), xor( not( x ), y ) ) ) ] )
% 1.01/1.37 , clause( 4948, [ ~( =( xor( not( x ), y ), xor( x, not( y ) ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 970, [ ~( =( xor( x, not( y ) ), xor( not( x ), y ) ) ) ] )
% 1.01/1.37 , clause( 4949, [ ~( =( xor( x, not( y ) ), xor( not( x ), y ) ) ) ] )
% 1.01/1.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4952, [ =( and( truth, X ), X ) ] )
% 1.01/1.37 , clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , 0, clause( 868, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 985, [ =( and( truth, X ), X ) ] )
% 1.01/1.37 , clause( 4952, [ =( and( truth, X ), X ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4954, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 941, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4957, [ =( implies( X, or( Y, Z ) ), or( or( not( X ), Y ), Z ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 5, [ =( or( X, or( Y, Z ) ), or( or( X, Y ), Z ) ) ] )
% 1.01/1.37 , 0, clause( 4954, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, or( Y, Z ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4958, [ =( implies( X, or( Y, Z ) ), or( implies( X, Y ), Z ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 941, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4957, [ =( implies( X, or( Y, Z ) ), or( or( not( X ), Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4959, [ =( or( implies( X, Y ), Z ), implies( X, or( Y, Z ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4958, [ =( implies( X, or( Y, Z ) ), or( implies( X, Y ), Z ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1034, [ =( or( implies( X, Y ), Z ), implies( X, or( Y, Z ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4959, [ =( or( implies( X, Y ), Z ), implies( X, or( Y, Z ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4960, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 941, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4961, [ =( implies( X, Y ), or( Y, not( X ) ) ) ] )
% 1.01/1.37 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 4960, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y )] ), substitution(
% 1.01/1.37 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4964, [ =( or( Y, not( X ) ), implies( X, Y ) ) ] )
% 1.01/1.37 , clause( 4961, [ =( implies( X, Y ), or( Y, not( X ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1036, [ =( or( Y, not( X ) ), implies( X, Y ) ) ] )
% 1.01/1.37 , clause( 4964, [ =( or( Y, not( X ) ), implies( X, Y ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4965, [ =( implies( Y, X ), or( X, not( Y ) ) ) ] )
% 1.01/1.37 , clause( 1036, [ =( or( Y, not( X ) ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4967, [ =( implies( or( X, Y ), Z ), or( Z, not( or( Y, X ) ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 919, [ =( not( or( Y, X ) ), not( or( X, Y ) ) ) ] )
% 1.01/1.37 , 0, clause( 4965, [ =( implies( Y, X ), or( X, not( Y ) ) ) ] )
% 1.01/1.37 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, Z ), :=( Y, or( X, Y ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4969, [ =( implies( or( X, Y ), Z ), implies( or( Y, X ), Z ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 1036, [ =( or( Y, not( X ) ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4967, [ =( implies( or( X, Y ), Z ), or( Z, not( or( Y, X ) )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, or( Y, X ) ), :=( Y, Z )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1093, [ =( implies( or( Y, X ), Z ), implies( or( X, Y ), Z ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 4969, [ =( implies( or( X, Y ), Z ), implies( or( Y, X ), Z ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4975, [ =( not( or( not( X ), Y ) ), not( implies( X, Y ) ) ) ] )
% 1.01/1.37 , clause( 1036, [ =( or( Y, not( X ) ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 919, [ =( not( or( Y, X ) ), not( or( X, Y ) ) ) ] )
% 1.01/1.37 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, Y ), :=( Y, not( X ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4976, [ =( and( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.01/1.37 , clause( 939, [ =( not( or( not( Y ), X ) ), and( Y, not( X ) ) ) ] )
% 1.01/1.37 , 0, clause( 4975, [ =( not( or( not( X ), Y ) ), not( implies( X, Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1094, [ =( and( Y, not( X ) ), not( implies( Y, X ) ) ) ] )
% 1.01/1.37 , clause( 4976, [ =( and( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4983, [ =( not( or( X, not( Y ) ) ), not( implies( Y, X ) ) ) ] )
% 1.01/1.37 , clause( 941, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 919, [ =( not( or( Y, X ) ), not( or( X, Y ) ) ) ] )
% 1.01/1.37 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, not( Y ) ), :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4984, [ =( and( not( X ), Y ), not( implies( Y, X ) ) ) ] )
% 1.01/1.37 , clause( 938, [ =( not( or( X, not( Y ) ) ), and( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, clause( 4983, [ =( not( or( X, not( Y ) ) ), not( implies( Y, X ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1095, [ =( and( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.01/1.37 , clause( 4984, [ =( and( not( X ), Y ), not( implies( Y, X ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4987, [ =( not( implies( X, Y ) ), and( X, not( Y ) ) ) ] )
% 1.01/1.37 , clause( 1094, [ =( and( Y, not( X ) ), not( implies( Y, X ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4988, [ =( not( implies( X, not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , 0, clause( 4987, [ =( not( implies( X, Y ) ), and( X, not( Y ) ) ) ] )
% 1.01/1.37 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, not( Y ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1105, [ =( not( implies( Y, not( X ) ) ), and( Y, X ) ) ] )
% 1.01/1.37 , clause( 4988, [ =( not( implies( X, not( Y ) ) ), and( X, Y ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 4991, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4997, [ =( xor( X, not( Y ) ), or( and( X, not( not( Y ) ) ), not(
% 1.01/1.37 implies( not( X ), Y ) ) ) ) ] )
% 1.01/1.37 , clause( 1094, [ =( and( Y, not( X ) ), not( implies( Y, X ) ) ) ] )
% 1.01/1.37 , 0, clause( 4991, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 1.01/1.37 , Y ) ) ) ] )
% 1.01/1.37 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 4999, [ =( xor( X, not( Y ) ), implies( implies( not( X ), Y ), and(
% 1.01/1.37 X, not( not( Y ) ) ) ) ) ] )
% 1.01/1.37 , clause( 1036, [ =( or( Y, not( X ) ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4997, [ =( xor( X, not( Y ) ), or( and( X, not( not( Y ) ) ),
% 1.01/1.37 not( implies( not( X ), Y ) ) ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, implies( not( X ), Y ) ), :=( Y, and( X,
% 1.01/1.37 not( not( Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5000, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( X, not(
% 1.01/1.37 not( Y ) ) ) ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 4999, [ =( xor( X, not( Y ) ), implies( implies( not( X ), Y )
% 1.01/1.37 , and( X, not( not( Y ) ) ) ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5001, [ =( xor( X, not( Y ) ), implies( or( X, Y ), not( implies( X
% 1.01/1.37 , not( Y ) ) ) ) ) ] )
% 1.01/1.37 , clause( 1094, [ =( and( Y, not( X ) ), not( implies( Y, X ) ) ) ] )
% 1.01/1.37 , 0, clause( 5000, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( X,
% 1.01/1.37 not( not( Y ) ) ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, not( Y ) ), :=( Y, X )] ), substitution(
% 1.01/1.37 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5002, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( X, Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 1105, [ =( not( implies( Y, not( X ) ) ), and( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 5001, [ =( xor( X, not( Y ) ), implies( or( X, Y ), not(
% 1.01/1.37 implies( X, not( Y ) ) ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5003, [ =( implies( or( X, Y ), and( X, Y ) ), xor( X, not( Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 5002, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( X, Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1107, [ =( implies( or( X, Y ), and( X, Y ) ), xor( X, not( Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 5003, [ =( implies( or( X, Y ), and( X, Y ) ), xor( X, not( Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5004, [ ~( =( xor( not( x ), y ), xor( x, not( y ) ) ) ) ] )
% 1.01/1.37 , clause( 970, [ ~( =( xor( x, not( y ) ), xor( not( x ), y ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5006, [ ~( =( xor( not( x ), y ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 , clause( 11, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 5004, [ ~( =( xor( not( x ), y ), xor( x, not( y ) ) ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, x ), :=( Y, not( y ) )] ), substitution(
% 1.01/1.37 1, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1130, [ ~( =( xor( not( x ), y ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 , clause( 5006, [ ~( =( xor( not( x ), y ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5013, [ ~( =( xor( not( y ), x ), xor( not( x ), y ) ) ) ] )
% 1.01/1.37 , clause( 1130, [ ~( =( xor( not( x ), y ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5015, [ ~( =( xor( not( y ), x ), xor( y, not( x ) ) ) ) ] )
% 1.01/1.37 , clause( 11, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 5013, [ ~( =( xor( not( y ), x ), xor( not( x ), y ) ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, not( x ) ), :=( Y, y )] ), substitution(
% 1.01/1.37 1, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5021, [ ~( =( xor( y, not( x ) ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 , clause( 5015, [ ~( =( xor( not( y ), x ), xor( y, not( x ) ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1131, [ ~( =( xor( y, not( x ) ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 , clause( 5021, [ ~( =( xor( y, not( x ) ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5022, [ =( and( X, Y ), not( implies( X, not( Y ) ) ) ) ] )
% 1.01/1.37 , clause( 1105, [ =( not( implies( Y, not( X ) ) ), and( Y, X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5025, [ =( and( X, implies( Y, not( Z ) ) ), not( implies( X, and(
% 1.01/1.37 Y, Z ) ) ) ) ] )
% 1.01/1.37 , clause( 1105, [ =( not( implies( Y, not( X ) ) ), and( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 5022, [ =( and( X, Y ), not( implies( X, not( Y ) ) ) ) ] )
% 1.01/1.37 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, implies( Y, not( Z ) ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1168, [ =( and( Z, implies( X, not( Y ) ) ), not( implies( Z, and(
% 1.01/1.37 X, Y ) ) ) ) ] )
% 1.01/1.37 , clause( 5025, [ =( and( X, implies( Y, not( Z ) ) ), not( implies( X, and(
% 1.01/1.37 Y, Z ) ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5028, [ =( X, not( not( X ) ) ) ] )
% 1.01/1.37 , clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5031, [ =( implies( X, not( Y ) ), not( and( X, Y ) ) ) ] )
% 1.01/1.37 , clause( 1105, [ =( not( implies( Y, not( X ) ) ), and( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 5028, [ =( X, not( not( X ) ) ) ] )
% 1.01/1.37 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, implies( X, not( Y ) ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1175, [ =( implies( X, not( Y ) ), not( and( X, Y ) ) ) ] )
% 1.01/1.37 , clause( 5031, [ =( implies( X, not( Y ) ), not( and( X, Y ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5034, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5038, [ =( or( implies( X, not( Y ) ), Z ), implies( and( X, Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , clause( 1105, [ =( not( implies( Y, not( X ) ) ), and( Y, X ) ) ] )
% 1.01/1.37 , 0, clause( 5034, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 1.01/1.37 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, implies( X, not( Y ) ) ), :=( Y, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5039, [ =( implies( X, or( not( Y ), Z ) ), implies( and( X, Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , clause( 1034, [ =( or( implies( X, Y ), Z ), implies( X, or( Y, Z ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, clause( 5038, [ =( or( implies( X, not( Y ) ), Z ), implies( and( X, Y
% 1.01/1.37 ), Z ) ) ] )
% 1.01/1.37 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, Z )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5040, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 941, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.01/1.37 , 0, clause( 5039, [ =( implies( X, or( not( Y ), Z ) ), implies( and( X, Y
% 1.01/1.37 ), Z ) ) ] )
% 1.01/1.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1181, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 5040, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5043, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5050, [ =( truth, implies( X, not( and( implies( X, not( Y ) ), Y )
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , clause( 1175, [ =( implies( X, not( Y ) ), not( and( X, Y ) ) ) ] )
% 1.01/1.37 , 0, clause( 5043, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, implies( X, not( Y ) ) ), :=( Y, Y )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5060, [ =( truth, not( and( X, and( implies( X, not( Y ) ), Y ) ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 1175, [ =( implies( X, not( Y ) ), not( and( X, Y ) ) ) ] )
% 1.01/1.37 , 0, clause( 5050, [ =( truth, implies( X, not( and( implies( X, not( Y ) )
% 1.01/1.37 , Y ) ) ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, and( implies( X, not( Y ) ),
% 1.01/1.37 Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5064, [ =( truth, not( and( and( X, implies( X, not( Y ) ) ), Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 8, [ =( and( X, and( Y, Z ) ), and( and( X, Y ), Z ) ) ] )
% 1.01/1.37 , 0, clause( 5060, [ =( truth, not( and( X, and( implies( X, not( Y ) ), Y
% 1.01/1.37 ) ) ) ) ] )
% 1.01/1.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, implies( X, not( Y ) ) ),
% 1.01/1.37 :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5065, [ =( truth, not( and( not( implies( X, and( X, Y ) ) ), Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , clause( 1168, [ =( and( Z, implies( X, not( Y ) ) ), not( implies( Z, and(
% 1.01/1.37 X, Y ) ) ) ) ] )
% 1.01/1.37 , 0, clause( 5064, [ =( truth, not( and( and( X, implies( X, not( Y ) ) ),
% 1.01/1.37 Y ) ) ) ] )
% 1.01/1.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5066, [ =( truth, not( not( implies( Y, implies( X, and( X, Y ) ) )
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , clause( 1095, [ =( and( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 1.01/1.37 , 0, clause( 5065, [ =( truth, not( and( not( implies( X, and( X, Y ) ) ),
% 1.01/1.37 Y ) ) ) ] )
% 1.01/1.37 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, and( X, Y ) ) )] )
% 1.01/1.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5067, [ =( truth, implies( X, implies( Y, and( Y, X ) ) ) ) ] )
% 1.01/1.37 , clause( 932, [ =( not( not( X ) ), X ) ] )
% 1.01/1.37 , 0, clause( 5066, [ =( truth, not( not( implies( Y, implies( X, and( X, Y
% 1.01/1.37 ) ) ) ) ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( Y, and( Y, X ) ) ) )] )
% 1.01/1.37 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5068, [ =( truth, implies( and( X, Y ), and( Y, X ) ) ) ] )
% 1.01/1.37 , clause( 1181, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, clause( 5067, [ =( truth, implies( X, implies( Y, and( Y, X ) ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, and( Y, X ) )] )
% 1.01/1.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5069, [ =( implies( and( X, Y ), and( Y, X ) ), truth ) ] )
% 1.01/1.37 , clause( 5068, [ =( truth, implies( and( X, Y ), and( Y, X ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1204, [ =( implies( and( Y, X ), and( X, Y ) ), truth ) ] )
% 1.01/1.37 , clause( 5069, [ =( implies( and( X, Y ), and( Y, X ) ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5071, [ =( truth, implies( implies( X, Y ), implies( X, implies(
% 1.01/1.37 implies( Y, Z ), Z ) ) ) ) ] )
% 1.01/1.37 , clause( 49, [ =( implies( implies( Z, X ), implies( Z, implies( implies(
% 1.01/1.37 X, Y ), Y ) ) ), truth ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5076, [ =( truth, implies( implies( X, and( Y, Z ) ), implies( X,
% 1.01/1.37 implies( truth, and( Z, Y ) ) ) ) ) ] )
% 1.01/1.37 , clause( 1204, [ =( implies( and( Y, X ), and( X, Y ) ), truth ) ] )
% 1.01/1.37 , 0, clause( 5071, [ =( truth, implies( implies( X, Y ), implies( X,
% 1.01/1.37 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 1.01/1.37 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, and( Y, Z ) ), :=( Z, and( Z, Y ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5078, [ =( truth, implies( implies( X, and( Y, Z ) ), implies( and(
% 1.01/1.37 X, truth ), and( Z, Y ) ) ) ) ] )
% 1.01/1.37 , clause( 1181, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, clause( 5076, [ =( truth, implies( implies( X, and( Y, Z ) ), implies(
% 1.01/1.37 X, implies( truth, and( Z, Y ) ) ) ) ) ] )
% 1.01/1.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, truth ), :=( Z, and( Z, Y ) )] )
% 1.01/1.37 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5081, [ =( truth, implies( and( implies( X, and( Y, Z ) ), and( X,
% 1.01/1.37 truth ) ), and( Z, Y ) ) ) ] )
% 1.01/1.37 , clause( 1181, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, clause( 5078, [ =( truth, implies( implies( X, and( Y, Z ) ), implies(
% 1.01/1.37 and( X, truth ), and( Z, Y ) ) ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, implies( X, and( Y, Z ) ) ), :=( Y, and(
% 1.01/1.37 X, truth ) ), :=( Z, and( Z, Y ) )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5082, [ =( truth, implies( and( implies( X, and( Y, Z ) ), X ), and(
% 1.01/1.37 Z, Y ) ) ) ] )
% 1.01/1.37 , clause( 967, [ =( and( X, truth ), X ) ] )
% 1.01/1.37 , 0, clause( 5081, [ =( truth, implies( and( implies( X, and( Y, Z ) ), and(
% 1.01/1.37 X, truth ) ), and( Z, Y ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5083, [ =( implies( and( implies( X, and( Y, Z ) ), X ), and( Z, Y
% 1.01/1.37 ) ), truth ) ] )
% 1.01/1.37 , clause( 5082, [ =( truth, implies( and( implies( X, and( Y, Z ) ), X ),
% 1.01/1.37 and( Z, Y ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1293, [ =( implies( and( implies( Z, and( X, Y ) ), Z ), and( Y, X
% 1.01/1.37 ) ), truth ) ] )
% 1.01/1.37 , clause( 5083, [ =( implies( and( implies( X, and( Y, Z ) ), X ), and( Z,
% 1.01/1.37 Y ) ), truth ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5085, [ =( implies( implies( X, Y ), implies( Z, Y ) ), implies(
% 1.01/1.37 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Z, X ) ),
% 1.01/1.37 implies( Z, X ) ) ) ] )
% 1.01/1.37 , clause( 30, [ =( implies( implies( implies( implies( Y, Z ), implies( X,
% 1.01/1.37 Z ) ), implies( X, Y ) ), implies( X, Y ) ), implies( implies( Y, Z ),
% 1.01/1.37 implies( X, Z ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5092, [ =( implies( implies( and( X, Y ), and( Y, X ) ), implies( Z
% 1.01/1.37 , and( Y, X ) ) ), implies( implies( implies( truth, implies( Z, and( Y,
% 1.01/1.37 X ) ) ), implies( Z, and( X, Y ) ) ), implies( Z, and( X, Y ) ) ) ) ] )
% 1.01/1.37 , clause( 1204, [ =( implies( and( Y, X ), and( X, Y ) ), truth ) ] )
% 1.01/1.37 , 0, clause( 5085, [ =( implies( implies( X, Y ), implies( Z, Y ) ),
% 1.01/1.37 implies( implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Z
% 1.01/1.37 , X ) ), implies( Z, X ) ) ) ] )
% 1.01/1.37 , 0, 17, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, and( X, Y ) ), :=( Y, and( Y, X ) ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5099, [ =( implies( truth, implies( Z, and( Y, X ) ) ), implies(
% 1.01/1.37 implies( implies( truth, implies( Z, and( Y, X ) ) ), implies( Z, and( X
% 1.01/1.37 , Y ) ) ), implies( Z, and( X, Y ) ) ) ) ] )
% 1.01/1.37 , clause( 1204, [ =( implies( and( Y, X ), and( X, Y ) ), truth ) ] )
% 1.01/1.37 , 0, clause( 5092, [ =( implies( implies( and( X, Y ), and( Y, X ) ),
% 1.01/1.37 implies( Z, and( Y, X ) ) ), implies( implies( implies( truth, implies( Z
% 1.01/1.37 , and( Y, X ) ) ), implies( Z, and( X, Y ) ) ), implies( Z, and( X, Y ) )
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5284, [ =( implies( truth, implies( X, and( Y, Z ) ) ), implies(
% 1.01/1.37 implies( and( implies( truth, implies( X, and( Y, Z ) ) ), X ), and( Z, Y
% 1.01/1.37 ) ), implies( X, and( Z, Y ) ) ) ) ] )
% 1.01/1.37 , clause( 1181, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, clause( 5099, [ =( implies( truth, implies( Z, and( Y, X ) ) ),
% 1.01/1.37 implies( implies( implies( truth, implies( Z, and( Y, X ) ) ), implies( Z
% 1.01/1.37 , and( X, Y ) ) ), implies( Z, and( X, Y ) ) ) ) ] )
% 1.01/1.37 , 0, 9, substitution( 0, [ :=( X, implies( truth, implies( X, and( Y, Z ) )
% 1.01/1.37 ) ), :=( Y, X ), :=( Z, and( Z, Y ) )] ), substitution( 1, [ :=( X, Z )
% 1.01/1.37 , :=( Y, Y ), :=( Z, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5297, [ =( implies( truth, implies( X, and( Y, Z ) ) ), implies(
% 1.01/1.37 and( implies( and( implies( truth, implies( X, and( Y, Z ) ) ), X ), and(
% 1.01/1.37 Z, Y ) ), X ), and( Z, Y ) ) ) ] )
% 1.01/1.37 , clause( 1181, [ =( implies( X, implies( Y, Z ) ), implies( and( X, Y ), Z
% 1.01/1.37 ) ) ] )
% 1.01/1.37 , 0, clause( 5284, [ =( implies( truth, implies( X, and( Y, Z ) ) ),
% 1.01/1.37 implies( implies( and( implies( truth, implies( X, and( Y, Z ) ) ), X ),
% 1.01/1.37 and( Z, Y ) ), implies( X, and( Z, Y ) ) ) ) ] )
% 1.01/1.37 , 0, 8, substitution( 0, [ :=( X, implies( and( implies( truth, implies( X
% 1.01/1.37 , and( Y, Z ) ) ), X ), and( Z, Y ) ) ), :=( Y, X ), :=( Z, and( Z, Y ) )] )
% 1.01/1.37 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5303, [ =( implies( truth, implies( X, and( Y, Z ) ) ), implies(
% 1.01/1.37 and( implies( and( implies( X, and( Y, Z ) ), X ), and( Z, Y ) ), X ),
% 1.01/1.37 and( Z, Y ) ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 5297, [ =( implies( truth, implies( X, and( Y, Z ) ) ),
% 1.01/1.37 implies( and( implies( and( implies( truth, implies( X, and( Y, Z ) ) ),
% 1.01/1.37 X ), and( Z, Y ) ), X ), and( Z, Y ) ) ) ] )
% 1.01/1.37 , 0, 12, substitution( 0, [ :=( X, implies( X, and( Y, Z ) ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5304, [ =( implies( X, and( Y, Z ) ), implies( and( implies( and(
% 1.01/1.37 implies( X, and( Y, Z ) ), X ), and( Z, Y ) ), X ), and( Z, Y ) ) ) ] )
% 1.01/1.37 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 5303, [ =( implies( truth, implies( X, and( Y, Z ) ) ),
% 1.01/1.37 implies( and( implies( and( implies( X, and( Y, Z ) ), X ), and( Z, Y ) )
% 1.01/1.37 , X ), and( Z, Y ) ) ) ] )
% 1.01/1.37 , 0, 1, substitution( 0, [ :=( X, implies( X, and( Y, Z ) ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5308, [ =( implies( X, and( Y, Z ) ), implies( and( truth, X ), and(
% 1.01/1.37 Z, Y ) ) ) ] )
% 1.01/1.37 , clause( 1293, [ =( implies( and( implies( Z, and( X, Y ) ), Z ), and( Y,
% 1.01/1.37 X ) ), truth ) ] )
% 1.01/1.37 , 0, clause( 5304, [ =( implies( X, and( Y, Z ) ), implies( and( implies(
% 1.01/1.37 and( implies( X, and( Y, Z ) ), X ), and( Z, Y ) ), X ), and( Z, Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5309, [ =( implies( X, and( Y, Z ) ), implies( X, and( Z, Y ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 985, [ =( and( truth, X ), X ) ] )
% 1.01/1.37 , 0, clause( 5308, [ =( implies( X, and( Y, Z ) ), implies( and( truth, X )
% 1.01/1.37 , and( Z, Y ) ) ) ] )
% 1.01/1.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.01/1.37 :=( Y, Y ), :=( Z, Z )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 1294, [ =( implies( Z, and( X, Y ) ), implies( Z, and( Y, X ) ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , clause( 5309, [ =( implies( X, and( Y, Z ) ), implies( X, and( Z, Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.01/1.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5310, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( X, Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 1107, [ =( implies( or( X, Y ), and( X, Y ) ), xor( X, not( Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5311, [ =( xor( X, not( Y ) ), implies( or( Y, X ), and( X, Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 1093, [ =( implies( or( Y, X ), Z ), implies( or( X, Y ), Z ) ) ]
% 1.01/1.37 )
% 1.01/1.37 , 0, clause( 5310, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( X, Y
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, and( X, Y ) )] )
% 1.01/1.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5314, [ =( implies( or( Y, X ), and( X, Y ) ), xor( X, not( Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 5311, [ =( xor( X, not( Y ) ), implies( or( Y, X ), and( X, Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 4513, [ =( implies( or( Y, X ), and( X, Y ) ), xor( X, not( Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 5314, [ =( implies( or( Y, X ), and( X, Y ) ), xor( X, not( Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5315, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( X, Y ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 1107, [ =( implies( or( X, Y ), and( X, Y ) ), xor( X, not( Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5317, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( Y, X ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , clause( 1294, [ =( implies( Z, and( X, Y ) ), implies( Z, and( Y, X ) ) )
% 1.01/1.37 ] )
% 1.01/1.37 , 0, clause( 5315, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( X, Y
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( X, Y ) )] ),
% 1.01/1.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5319, [ =( xor( X, not( Y ) ), xor( Y, not( X ) ) ) ] )
% 1.01/1.37 , clause( 4513, [ =( implies( or( Y, X ), and( X, Y ) ), xor( X, not( Y ) )
% 1.01/1.37 ) ] )
% 1.01/1.37 , 0, clause( 5317, [ =( xor( X, not( Y ) ), implies( or( X, Y ), and( Y, X
% 1.01/1.37 ) ) ) ] )
% 1.01/1.37 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, Y )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 4514, [ =( xor( X, not( Y ) ), xor( Y, not( X ) ) ) ] )
% 1.01/1.37 , clause( 5319, [ =( xor( X, not( Y ) ), xor( Y, not( X ) ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 paramod(
% 1.01/1.37 clause( 5320, [ =( xor( Y, not( X ) ), xor( not( Y ), X ) ) ] )
% 1.01/1.37 , clause( 4514, [ =( xor( X, not( Y ) ), xor( Y, not( X ) ) ) ] )
% 1.01/1.37 , 0, clause( 11, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 1.01/1.37 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.01/1.37 :=( X, X ), :=( Y, not( Y ) )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 4543, [ =( xor( Y, not( X ) ), xor( not( Y ), X ) ) ] )
% 1.01/1.37 , clause( 5320, [ =( xor( Y, not( X ) ), xor( not( Y ), X ) ) ] )
% 1.01/1.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.37 )] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5324, [ =( xor( not( X ), Y ), xor( X, not( Y ) ) ) ] )
% 1.01/1.37 , clause( 4543, [ =( xor( Y, not( X ) ), xor( not( Y ), X ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 eqswap(
% 1.01/1.37 clause( 5325, [ ~( =( xor( not( y ), x ), xor( y, not( x ) ) ) ) ] )
% 1.01/1.37 , clause( 1131, [ ~( =( xor( y, not( x ) ), xor( not( y ), x ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [] )).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 resolution(
% 1.01/1.37 clause( 5326, [] )
% 1.01/1.37 , clause( 5325, [ ~( =( xor( not( y ), x ), xor( y, not( x ) ) ) ) ] )
% 1.01/1.37 , 0, clause( 5324, [ =( xor( not( X ), Y ), xor( X, not( Y ) ) ) ] )
% 1.01/1.37 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, y ), :=( Y, x )] )
% 1.01/1.37 ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 subsumption(
% 1.01/1.37 clause( 4544, [] )
% 1.01/1.37 , clause( 5326, [] )
% 1.01/1.37 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 end.
% 1.01/1.37
% 1.01/1.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.01/1.37
% 1.01/1.37 Memory use:
% 1.01/1.37
% 1.01/1.37 space for terms: 61296
% 1.01/1.37 space for clauses: 479969
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 clauses generated: 60152
% 1.01/1.37 clauses kept: 4545
% 1.01/1.37 clauses selected: 438
% 1.01/1.37 clauses deleted: 626
% 1.01/1.37 clauses inuse deleted: 150
% 1.01/1.37
% 1.01/1.37 subsentry: 6171
% 1.01/1.37 literals s-matched: 4090
% 1.01/1.37 literals matched: 3955
% 1.01/1.37 full subsumption: 0
% 1.01/1.37
% 1.01/1.37 checksum: -454869659
% 1.01/1.37
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% 1.01/1.37 Bliksem ended
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