TSTP Solution File: LCL163-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:51:08 EDT 2022
% Result : Unsatisfiable 0.73s 1.13s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 19:12:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13 [
% 0.73/1.13 [ =( not( X ), xor( X, truth ) ) ],
% 0.73/1.13 [ =( xor( X, falsehood ), X ) ],
% 0.73/1.13 [ =( xor( X, X ), falsehood ) ],
% 0.73/1.13 [ =( 'and_star'( X, truth ), X ) ],
% 0.73/1.13 [ =( 'and_star'( X, falsehood ), falsehood ) ],
% 0.73/1.13 [ =( 'and_star'( xor( truth, X ), X ), falsehood ) ],
% 0.73/1.13 [ =( xor( X, xor( truth, Y ) ), xor( xor( X, truth ), Y ) ) ],
% 0.73/1.13 [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ), truth ), Y ),
% 0.73/1.13 'and_star'( xor( 'and_star'( xor( truth, Y ), X ), truth ), X ) ) ],
% 0.73/1.13 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 0.73/1.13 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 0.73/1.13 Z ) ) ) ],
% 0.73/1.13 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 0.73/1.13 [ =( not( truth ), falsehood ) ],
% 0.73/1.13 [ =( implies( X, Y ), xor( truth, 'and_star'( X, xor( truth, Y ) ) ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( implies( implies( x, y ), y ), implies( implies( y, x ), x ) ) )
% 0.73/1.13 ]
% 0.73/1.13 ] .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.13 This is a pure equality problem
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Options Used:
% 0.73/1.13
% 0.73/1.13 useres = 1
% 0.73/1.13 useparamod = 1
% 0.73/1.13 useeqrefl = 1
% 0.73/1.13 useeqfact = 1
% 0.73/1.13 usefactor = 1
% 0.73/1.13 usesimpsplitting = 0
% 0.73/1.13 usesimpdemod = 5
% 0.73/1.13 usesimpres = 3
% 0.73/1.13
% 0.73/1.13 resimpinuse = 1000
% 0.73/1.13 resimpclauses = 20000
% 0.73/1.13 substype = eqrewr
% 0.73/1.13 backwardsubs = 1
% 0.73/1.13 selectoldest = 5
% 0.73/1.13
% 0.73/1.13 litorderings [0] = split
% 0.73/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.13
% 0.73/1.13 termordering = kbo
% 0.73/1.13
% 0.73/1.13 litapriori = 0
% 0.73/1.13 termapriori = 1
% 0.73/1.13 litaposteriori = 0
% 0.73/1.13 termaposteriori = 0
% 0.73/1.13 demodaposteriori = 0
% 0.73/1.13 ordereqreflfact = 0
% 0.73/1.13
% 0.73/1.13 litselect = negord
% 0.73/1.13
% 0.73/1.13 maxweight = 15
% 0.73/1.13 maxdepth = 30000
% 0.73/1.13 maxlength = 115
% 0.73/1.13 maxnrvars = 195
% 0.73/1.13 excuselevel = 1
% 0.73/1.13 increasemaxweight = 1
% 0.73/1.13
% 0.73/1.13 maxselected = 10000000
% 0.73/1.13 maxnrclauses = 10000000
% 0.73/1.13
% 0.73/1.13 showgenerated = 0
% 0.73/1.13 showkept = 0
% 0.73/1.13 showselected = 0
% 0.73/1.13 showdeleted = 0
% 0.73/1.13 showresimp = 1
% 0.73/1.13 showstatus = 2000
% 0.73/1.13
% 0.73/1.13 prologoutput = 1
% 0.73/1.13 nrgoals = 5000000
% 0.73/1.13 totalproof = 1
% 0.73/1.13
% 0.73/1.13 Symbols occurring in the translation:
% 0.73/1.13
% 0.73/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.13 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.13 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.73/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 not [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.13 truth [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.13 xor [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.13 falsehood [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.13 'and_star' [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.13 implies [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.73/1.13 x [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.13 y [49, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Starting Search:
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksems!, er is een bewijs:
% 0.73/1.13 % SZS status Unsatisfiable
% 0.73/1.13 % SZS output start Refutation
% 0.73/1.13
% 0.73/1.13 clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 1, [ =( xor( X, falsehood ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 6, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 7, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 8, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 11, [ =( not( truth ), falsehood ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 12, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ), implies( X
% 0.73/1.13 , Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 13, [ ~( =( implies( implies( x, y ), y ), implies( implies( y, x )
% 0.73/1.13 , x ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 17, [ =( xor( falsehood, X ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 21, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 22, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 24, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X,
% 0.73/1.13 Y ), X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 196, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 0.73/1.13 X ), Y ), X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 558, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 0.73/1.13 X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 586, [] )
% 0.73/1.13 .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 % SZS output end Refutation
% 0.73/1.13 found a proof!
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 initialclauses(
% 0.73/1.13 [ clause( 588, [ =( not( X ), xor( X, truth ) ) ] )
% 0.73/1.13 , clause( 589, [ =( xor( X, falsehood ), X ) ] )
% 0.73/1.13 , clause( 590, [ =( xor( X, X ), falsehood ) ] )
% 0.73/1.13 , clause( 591, [ =( 'and_star'( X, truth ), X ) ] )
% 0.73/1.13 , clause( 592, [ =( 'and_star'( X, falsehood ), falsehood ) ] )
% 0.73/1.13 , clause( 593, [ =( 'and_star'( xor( truth, X ), X ), falsehood ) ] )
% 0.73/1.13 , clause( 594, [ =( xor( X, xor( truth, Y ) ), xor( xor( X, truth ), Y ) )
% 0.73/1.13 ] )
% 0.73/1.13 , clause( 595, [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ),
% 0.73/1.13 truth ), Y ), 'and_star'( xor( 'and_star'( xor( truth, Y ), X ), truth )
% 0.73/1.13 , X ) ) ] )
% 0.73/1.13 , clause( 596, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.73/1.13 , clause( 597, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 0.73/1.13 'and_star'( Y, Z ) ) ) ] )
% 0.73/1.13 , clause( 598, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.73/1.13 , clause( 599, [ =( not( truth ), falsehood ) ] )
% 0.73/1.13 , clause( 600, [ =( implies( X, Y ), xor( truth, 'and_star'( X, xor( truth
% 0.73/1.13 , Y ) ) ) ) ] )
% 0.73/1.13 , clause( 601, [ ~( =( implies( implies( x, y ), y ), implies( implies( y,
% 0.73/1.13 x ), x ) ) ) ] )
% 0.73/1.13 ] ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 602, [ =( xor( X, truth ), not( X ) ) ] )
% 0.73/1.13 , clause( 588, [ =( not( X ), xor( X, truth ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 0.73/1.13 , clause( 602, [ =( xor( X, truth ), not( X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 1, [ =( xor( X, falsehood ), X ) ] )
% 0.73/1.13 , clause( 589, [ =( xor( X, falsehood ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 621, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 594, [ =( xor( X, xor( truth, Y ) ), xor( xor( X, truth ), Y )
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 6, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 , clause( 621, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 651, [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ), truth
% 0.73/1.13 ), Y ), 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 0.73/1.13 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 595, [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ),
% 0.73/1.13 truth ), Y ), 'and_star'( xor( 'and_star'( xor( truth, Y ), X ), truth )
% 0.73/1.13 , X ) ) ] )
% 0.73/1.13 , 0, 11, substitution( 0, [ :=( X, 'and_star'( xor( truth, Y ), X ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 653, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y )
% 0.73/1.13 , 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 0.73/1.13 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 651, [ =( 'and_star'( xor( 'and_star'( xor( truth, X ), Y ),
% 0.73/1.13 truth ), Y ), 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) )
% 0.73/1.13 ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, 'and_star'( xor( truth, X ), Y ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 7, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 0.73/1.13 , clause( 653, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y
% 0.73/1.13 ), 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 8, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.73/1.13 , clause( 596, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.73/1.13 , clause( 598, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 11, [ =( not( truth ), falsehood ) ] )
% 0.73/1.13 , clause( 599, [ =( not( truth ), falsehood ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 687, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ), implies(
% 0.73/1.13 X, Y ) ) ] )
% 0.73/1.13 , clause( 600, [ =( implies( X, Y ), xor( truth, 'and_star'( X, xor( truth
% 0.73/1.13 , Y ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 12, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ), implies( X
% 0.73/1.13 , Y ) ) ] )
% 0.73/1.13 , clause( 687, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ), implies(
% 0.73/1.13 X, Y ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 13, [ ~( =( implies( implies( x, y ), y ), implies( implies( y, x )
% 0.73/1.13 , x ) ) ) ] )
% 0.73/1.13 , clause( 601, [ ~( =( implies( implies( x, y ), y ), implies( implies( y,
% 0.73/1.13 x ), x ) ) ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 699, [ =( not( X ), xor( X, truth ) ) ] )
% 0.73/1.13 , clause( 0, [ =( xor( X, truth ), not( X ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 700, [ =( not( X ), xor( truth, X ) ) ] )
% 0.73/1.13 , clause( 8, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.73/1.13 , 0, clause( 699, [ =( not( X ), xor( X, truth ) ) ] )
% 0.73/1.13 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.73/1.13 , [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 703, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , clause( 700, [ =( not( X ), xor( truth, X ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , clause( 703, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 704, [ =( X, xor( X, falsehood ) ) ] )
% 0.73/1.13 , clause( 1, [ =( xor( X, falsehood ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 705, [ =( X, xor( falsehood, X ) ) ] )
% 0.73/1.13 , clause( 8, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.73/1.13 , 0, clause( 704, [ =( X, xor( X, falsehood ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 708, [ =( xor( falsehood, X ), X ) ] )
% 0.73/1.13 , clause( 705, [ =( X, xor( falsehood, X ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 17, [ =( xor( falsehood, X ), X ) ] )
% 0.73/1.13 , clause( 708, [ =( xor( falsehood, X ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 711, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 6, [ =( xor( X, xor( truth, Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 21, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 , clause( 711, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 713, [ =( xor( not( X ), Y ), xor( X, not( Y ) ) ) ] )
% 0.73/1.13 , clause( 21, [ =( xor( X, not( Y ) ), xor( not( X ), Y ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 717, [ =( xor( not( truth ), X ), not( not( X ) ) ) ] )
% 0.73/1.13 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 713, [ =( xor( not( X ), Y ), xor( X, not( Y ) ) ) ] )
% 0.73/1.13 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.73/1.13 truth ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 718, [ =( xor( falsehood, X ), not( not( X ) ) ) ] )
% 0.73/1.13 , clause( 11, [ =( not( truth ), falsehood ) ] )
% 0.73/1.13 , 0, clause( 717, [ =( xor( not( truth ), X ), not( not( X ) ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 719, [ =( X, not( not( X ) ) ) ] )
% 0.73/1.13 , clause( 17, [ =( xor( falsehood, X ), X ) ] )
% 0.73/1.13 , 0, clause( 718, [ =( xor( falsehood, X ), not( not( X ) ) ) ] )
% 0.73/1.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.13 ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 720, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 , clause( 719, [ =( X, not( not( X ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 22, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 , clause( 720, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 724, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y )
% 0.73/1.13 , 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 0.73/1.13 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 7, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) ), Y
% 0.73/1.13 ), 'and_star'( not( 'and_star'( xor( truth, Y ), X ) ), X ) ) ] )
% 0.73/1.13 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 726, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 0.73/1.13 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 724, [ =( 'and_star'( not( 'and_star'( xor( truth, X ), Y ) )
% 0.73/1.13 , Y ), 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 0.73/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 24, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 0.73/1.13 , clause( 726, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 731, [ =( xor( truth, 'and_star'( X, not( Y ) ) ), implies( X, Y )
% 0.73/1.13 ) ] )
% 0.73/1.13 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 12, [ =( xor( truth, 'and_star'( X, xor( truth, Y ) ) ),
% 0.73/1.13 implies( X, Y ) ) ] )
% 0.73/1.13 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 733, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , clause( 16, [ =( xor( truth, X ), not( X ) ) ] )
% 0.73/1.13 , 0, clause( 731, [ =( xor( truth, 'and_star'( X, not( Y ) ) ), implies( X
% 0.73/1.13 , Y ) ) ] )
% 0.73/1.13 , 0, 1, substitution( 0, [ :=( X, 'and_star'( X, not( Y ) ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , clause( 733, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 736, [ =( X, not( not( X ) ) ) ] )
% 0.73/1.13 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 739, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , 0, clause( 736, [ =( X, not( not( X ) ) ) ] )
% 0.73/1.13 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, 'and_star'( X, not( Y ) ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , clause( 739, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 742, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 0.73/1.13 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 745, [ =( implies( X, not( Y ) ), not( 'and_star'( X, Y ) ) ) ] )
% 0.73/1.13 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 , 0, clause( 742, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, not( Y ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 0.73/1.13 , clause( 745, [ =( implies( X, not( Y ) ), not( 'and_star'( X, Y ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 747, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 0.73/1.13 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 748, [ =( implies( X, Y ), not( 'and_star'( not( Y ), X ) ) ) ] )
% 0.73/1.13 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.73/1.13 , 0, clause( 747, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 0.73/1.13 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 751, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , clause( 748, [ =( implies( X, Y ), not( 'and_star'( not( Y ), X ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , clause( 751, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 755, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( implies( X, Y ), X ) ) ] )
% 0.73/1.13 , clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , 0, clause( 24, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( not( 'and_star'( not( Y ), X ) ), X ) ) ] )
% 0.73/1.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 757, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X
% 0.73/1.13 , Y ), X ) ) ] )
% 0.73/1.13 , clause( 55, [ =( not( 'and_star'( not( Y ), X ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , 0, clause( 755, [ =( 'and_star'( not( 'and_star'( not( X ), Y ) ), Y ),
% 0.73/1.13 'and_star'( implies( X, Y ), X ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X,
% 0.73/1.13 Y ), X ) ) ] )
% 0.73/1.13 , clause( 757, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies(
% 0.73/1.13 X, Y ), X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 758, [ =( not( implies( X, Y ) ), 'and_star'( X, not( Y ) ) ) ] )
% 0.73/1.13 , clause( 48, [ =( 'and_star'( X, not( Y ) ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 759, [ =( not( implies( X, Y ) ), 'and_star'( not( Y ), X ) ) ] )
% 0.73/1.13 , clause( 10, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.73/1.13 , 0, clause( 758, [ =( not( implies( X, Y ) ), 'and_star'( X, not( Y ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 0.73/1.13 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 762, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , clause( 759, [ =( not( implies( X, Y ) ), 'and_star'( not( Y ), X ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , clause( 762, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 763, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) ) ] )
% 0.73/1.13 , clause( 38, [ =( not( 'and_star'( X, not( Y ) ) ), implies( X, Y ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 767, [ =( implies( implies( not( X ), Y ), X ), not( 'and_star'(
% 0.73/1.13 implies( Y, not( X ) ), Y ) ) ) ] )
% 0.73/1.13 , clause( 58, [ =( 'and_star'( implies( Y, X ), Y ), 'and_star'( implies( X
% 0.73/1.13 , Y ), X ) ) ] )
% 0.73/1.13 , 0, clause( 763, [ =( implies( X, Y ), not( 'and_star'( X, not( Y ) ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ), substitution(
% 0.73/1.13 1, [ :=( X, implies( not( X ), Y ) ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 769, [ =( implies( implies( not( X ), Y ), X ), not( 'and_star'(
% 0.73/1.13 not( 'and_star'( Y, X ) ), Y ) ) ) ] )
% 0.73/1.13 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 0.73/1.13 , 0, clause( 767, [ =( implies( implies( not( X ), Y ), X ), not(
% 0.73/1.13 'and_star'( implies( Y, not( X ) ), Y ) ) ) ] )
% 0.73/1.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 770, [ =( implies( implies( not( X ), Y ), X ), not( not( implies(
% 0.73/1.13 Y, 'and_star'( Y, X ) ) ) ) ) ] )
% 0.73/1.13 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , 0, clause( 769, [ =( implies( implies( not( X ), Y ), X ), not(
% 0.73/1.13 'and_star'( not( 'and_star'( Y, X ) ), Y ) ) ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, 'and_star'( Y, X ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 771, [ =( implies( implies( not( X ), Y ), X ), implies( Y,
% 0.73/1.13 'and_star'( Y, X ) ) ) ] )
% 0.73/1.13 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 , 0, clause( 770, [ =( implies( implies( not( X ), Y ), X ), not( not(
% 0.73/1.13 implies( Y, 'and_star'( Y, X ) ) ) ) ) ] )
% 0.73/1.13 , 0, 7, substitution( 0, [ :=( X, implies( Y, 'and_star'( Y, X ) ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 772, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 0.73/1.13 X ), Y ), X ) ) ] )
% 0.73/1.13 , clause( 771, [ =( implies( implies( not( X ), Y ), X ), implies( Y,
% 0.73/1.13 'and_star'( Y, X ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 196, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 0.73/1.13 X ), Y ), X ) ) ] )
% 0.73/1.13 , clause( 772, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 0.73/1.13 X ), Y ), X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 774, [ =( implies( implies( not( Y ), X ), Y ), implies( X,
% 0.73/1.13 'and_star'( X, Y ) ) ) ] )
% 0.73/1.13 , clause( 196, [ =( implies( Y, 'and_star'( Y, X ) ), implies( implies( not(
% 0.73/1.13 X ), Y ), X ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 783, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), implies(
% 0.73/1.13 not( Y ), 'and_star'( not( Y ), X ) ) ) ] )
% 0.73/1.13 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 0.73/1.13 , 0, clause( 774, [ =( implies( implies( not( Y ), X ), Y ), implies( X,
% 0.73/1.13 'and_star'( X, Y ) ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) )] ), substitution(
% 0.73/1.13 1, [ :=( X, not( Y ) ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 785, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), implies(
% 0.73/1.13 not( Y ), not( implies( X, Y ) ) ) ) ] )
% 0.73/1.13 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , 0, clause( 783, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ),
% 0.73/1.13 implies( not( Y ), 'and_star'( not( Y ), X ) ) ) ] )
% 0.73/1.13 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 787, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), not(
% 0.73/1.13 'and_star'( not( Y ), implies( X, Y ) ) ) ) ] )
% 0.73/1.13 , clause( 49, [ =( implies( Y, not( X ) ), not( 'and_star'( Y, X ) ) ) ] )
% 0.73/1.13 , 0, clause( 785, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ),
% 0.73/1.13 implies( not( Y ), not( implies( X, Y ) ) ) ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, not( Y ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 789, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), not( not(
% 0.73/1.13 implies( implies( X, Y ), Y ) ) ) ) ] )
% 0.73/1.13 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , 0, clause( 787, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), not(
% 0.73/1.13 'and_star'( not( Y ), implies( X, Y ) ) ) ) ] )
% 0.73/1.13 , 0, 9, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 791, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), implies(
% 0.73/1.13 implies( X, Y ), Y ) ) ] )
% 0.73/1.13 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 , 0, clause( 789, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ), not(
% 0.73/1.13 not( implies( implies( X, Y ), Y ) ) ) ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, implies( implies( X, Y ), Y ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 792, [ =( implies( not( not( implies( Y, X ) ) ), X ), implies(
% 0.73/1.13 implies( X, Y ), Y ) ) ] )
% 0.73/1.13 , clause( 65, [ =( 'and_star'( not( Y ), X ), not( implies( X, Y ) ) ) ] )
% 0.73/1.13 , 0, clause( 791, [ =( implies( not( 'and_star'( not( X ), Y ) ), X ),
% 0.73/1.13 implies( implies( X, Y ), Y ) ) ] )
% 0.73/1.13 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 793, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 0.73/1.13 X ) ) ] )
% 0.73/1.13 , clause( 22, [ =( not( not( X ) ), X ) ] )
% 0.73/1.13 , 0, clause( 792, [ =( implies( not( not( implies( Y, X ) ) ), X ), implies(
% 0.73/1.13 implies( X, Y ), Y ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 0.73/1.13 :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 558, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 0.73/1.13 X ) ) ] )
% 0.73/1.13 , clause( 793, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.73/1.13 , X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 794, [ ~( =( implies( implies( y, x ), x ), implies( implies( x, y
% 0.73/1.13 ), y ) ) ) ] )
% 0.73/1.13 , clause( 13, [ ~( =( implies( implies( x, y ), y ), implies( implies( y, x
% 0.73/1.13 ), x ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 796, [ ~( =( implies( implies( y, x ), x ), implies( implies( y, x
% 0.73/1.13 ), x ) ) ) ] )
% 0.73/1.13 , clause( 558, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.73/1.13 , X ) ) ] )
% 0.73/1.13 , 0, clause( 794, [ ~( =( implies( implies( y, x ), x ), implies( implies(
% 0.73/1.13 x, y ), y ) ) ) ] )
% 0.73/1.13 , 0, 7, substitution( 0, [ :=( X, x ), :=( Y, y )] ), substitution( 1, [] )
% 0.73/1.13 ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqrefl(
% 0.73/1.13 clause( 799, [] )
% 0.73/1.13 , clause( 796, [ ~( =( implies( implies( y, x ), x ), implies( implies( y,
% 0.73/1.13 x ), x ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 586, [] )
% 0.73/1.13 , clause( 799, [] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 end.
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 Memory use:
% 0.73/1.13
% 0.73/1.13 space for terms: 7995
% 0.73/1.13 space for clauses: 61031
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 clauses generated: 9136
% 0.73/1.13 clauses kept: 587
% 0.73/1.13 clauses selected: 100
% 0.73/1.13 clauses deleted: 28
% 0.73/1.13 clauses inuse deleted: 0
% 0.73/1.13
% 0.73/1.13 subsentry: 1607
% 0.73/1.13 literals s-matched: 1212
% 0.73/1.13 literals matched: 1212
% 0.73/1.13 full subsumption: 0
% 0.73/1.13
% 0.73/1.13 checksum: 1749626427
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksem ended
%------------------------------------------------------------------------------