TSTP Solution File: LCL154-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL154-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:50:58 EDT 2022
% Result : Unsatisfiable 0.66s 1.04s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL154-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.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 : Sun Jul 3 12:13:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/1.04 *** allocated 10000 integers for termspace/termends
% 0.66/1.04 *** allocated 10000 integers for clauses
% 0.66/1.04 *** allocated 10000 integers for justifications
% 0.66/1.04 Bliksem 1.12
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 Automatic Strategy Selection
% 0.66/1.04
% 0.66/1.04 Clauses:
% 0.66/1.04 [
% 0.66/1.04 [ =( implies( truth, X ), X ) ],
% 0.66/1.04 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.66/1.04 ) ), truth ) ],
% 0.66/1.04 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.66/1.04 ,
% 0.66/1.04 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.66/1.04 ],
% 0.66/1.04 [ =( or( X, Y ), implies( not( X ), Y ) ) ],
% 0.66/1.04 [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ],
% 0.66/1.04 [ =( or( X, Y ), or( Y, X ) ) ],
% 0.66/1.04 [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.66/1.04 [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ],
% 0.66/1.04 [ =( and( X, Y ), and( Y, X ) ) ],
% 0.66/1.04 [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y ) ) ) ],
% 0.66/1.04 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 0.66/1.04 [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.66/1.04 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 0.66/1.04 Z ) ) ) ],
% 0.66/1.04 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 0.66/1.04 [ =( not( truth ), falsehood ) ],
% 0.66/1.04 [ ~( =( xor( x, falsehood ), x ) ) ]
% 0.66/1.04 ] .
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 percentage equality = 1.000000, percentage horn = 1.000000
% 0.66/1.04 This is a pure equality problem
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 Options Used:
% 0.66/1.04
% 0.66/1.04 useres = 1
% 0.66/1.04 useparamod = 1
% 0.66/1.04 useeqrefl = 1
% 0.66/1.04 useeqfact = 1
% 0.66/1.04 usefactor = 1
% 0.66/1.04 usesimpsplitting = 0
% 0.66/1.04 usesimpdemod = 5
% 0.66/1.04 usesimpres = 3
% 0.66/1.04
% 0.66/1.04 resimpinuse = 1000
% 0.66/1.04 resimpclauses = 20000
% 0.66/1.04 substype = eqrewr
% 0.66/1.04 backwardsubs = 1
% 0.66/1.04 selectoldest = 5
% 0.66/1.04
% 0.66/1.04 litorderings [0] = split
% 0.66/1.04 litorderings [1] = extend the termordering, first sorting on arguments
% 0.66/1.04
% 0.66/1.04 termordering = kbo
% 0.66/1.04
% 0.66/1.04 litapriori = 0
% 0.66/1.04 termapriori = 1
% 0.66/1.04 litaposteriori = 0
% 0.66/1.04 termaposteriori = 0
% 0.66/1.04 demodaposteriori = 0
% 0.66/1.04 ordereqreflfact = 0
% 0.66/1.04
% 0.66/1.04 litselect = negord
% 0.66/1.04
% 0.66/1.04 maxweight = 15
% 0.66/1.04 maxdepth = 30000
% 0.66/1.04 maxlength = 115
% 0.66/1.04 maxnrvars = 195
% 0.66/1.04 excuselevel = 1
% 0.66/1.04 increasemaxweight = 1
% 0.66/1.04
% 0.66/1.04 maxselected = 10000000
% 0.66/1.04 maxnrclauses = 10000000
% 0.66/1.04
% 0.66/1.04 showgenerated = 0
% 0.66/1.04 showkept = 0
% 0.66/1.04 showselected = 0
% 0.66/1.04 showdeleted = 0
% 0.66/1.04 showresimp = 1
% 0.66/1.04 showstatus = 2000
% 0.66/1.04
% 0.66/1.04 prologoutput = 1
% 0.66/1.04 nrgoals = 5000000
% 0.66/1.04 totalproof = 1
% 0.66/1.04
% 0.66/1.04 Symbols occurring in the translation:
% 0.66/1.04
% 0.66/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.04 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.66/1.04 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.66/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.04 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.66/1.04 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.66/1.04 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.66/1.04 or [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.66/1.04 and [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.66/1.04 xor [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.66/1.04 'and_star' [48, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.66/1.04 falsehood [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.66/1.04 x [50, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 Starting Search:
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 Bliksems!, er is een bewijs:
% 0.66/1.04 % SZS status Unsatisfiable
% 0.66/1.04 % SZS output start Refutation
% 0.66/1.04
% 0.66/1.04 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.66/1.04 X, Z ) ) ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.66/1.04 ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.66/1.04 truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.66/1.04 ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 14, [ ~( =( xor( x, falsehood ), x ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 20, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.66/1.04 , not( X ) ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.66/1.04 )
% 0.66/1.04 .
% 0.66/1.04 clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.66/1.04 )
% 0.66/1.04 .
% 0.66/1.04 clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 .
% 0.66/1.04 clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.66/1.04 falsehood ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 .
% 0.66/1.04 clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 .
% 0.66/1.04 clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 865, [ =( xor( X, falsehood ), X ) ] )
% 0.66/1.04 .
% 0.66/1.04 clause( 866, [] )
% 0.66/1.04 .
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 % SZS output end Refutation
% 0.66/1.04 found a proof!
% 0.66/1.04
% 0.66/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.04
% 0.66/1.04 initialclauses(
% 0.66/1.04 [ clause( 868, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , clause( 869, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.66/1.04 implies( X, Z ) ) ), truth ) ] )
% 0.66/1.04 , clause( 870, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.66/1.04 , X ) ) ] )
% 0.66/1.04 , clause( 871, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.66/1.04 ), truth ) ] )
% 0.66/1.04 , clause( 872, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.66/1.04 , clause( 873, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 0.66/1.04 , clause( 874, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 , clause( 875, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , clause( 876, [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ] )
% 0.66/1.04 , clause( 877, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.66/1.04 , clause( 878, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , clause( 879, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.66/1.04 , clause( 880, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 881, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 0.66/1.04 'and_star'( Y, Z ) ) ) ] )
% 0.66/1.04 , clause( 882, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.66/1.04 , clause( 883, [ =( not( truth ), falsehood ) ] )
% 0.66/1.04 , clause( 884, [ ~( =( xor( x, falsehood ), x ) ) ] )
% 0.66/1.04 ] ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , clause( 868, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.66/1.04 X, Z ) ) ), truth ) ] )
% 0.66/1.04 , clause( 869, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.66/1.04 implies( X, Z ) ) ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , clause( 870, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.66/1.04 , X ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.66/1.04 truth ) ] )
% 0.66/1.04 , clause( 871, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.66/1.04 ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 896, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , clause( 872, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , clause( 896, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 , clause( 874, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 907, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.66/1.04 , clause( 875, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.66/1.04 , clause( 907, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.66/1.04 , clause( 877, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 922, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.66/1.04 ) ] )
% 0.66/1.04 , clause( 878, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.66/1.04 ) ] )
% 0.66/1.04 , clause( 922, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.66/1.04 , clause( 883, [ =( not( truth ), falsehood ) ] )
% 0.66/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 14, [ ~( =( xor( x, falsehood ), x ) ) ] )
% 0.66/1.04 , clause( 884, [ ~( =( xor( x, falsehood ), x ) ) ] )
% 0.66/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 947, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.66/1.04 , implies( X, Z ) ) ) ) ] )
% 0.66/1.04 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.66/1.04 implies( X, Z ) ) ), truth ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 951, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.66/1.04 , Y ), Y ) ) ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 947, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.66/1.04 , Z ), implies( X, Z ) ) ) ) ] )
% 0.66/1.04 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.66/1.04 ), :=( Y, X ), :=( Z, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 953, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 951, [ =( truth, implies( implies( truth, X ), implies(
% 0.66/1.04 implies( X, Y ), Y ) ) ) ] )
% 0.66/1.04 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.66/1.04 :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 954, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.66/1.04 , clause( 953, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 20, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.66/1.04 , clause( 954, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.66/1.04 )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 956, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 957, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.66/1.04 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.66/1.04 , 0, clause( 956, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.66/1.04 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.66/1.04 )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.66/1.04 , clause( 957, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 960, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.66/1.04 , not( X ) ) ) ] )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.66/1.04 ), X ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.66/1.04 :=( X, not( X ) ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.66/1.04 , not( X ) ) ) ] )
% 0.66/1.04 , clause( 960, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.66/1.04 ), not( X ) ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 963, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.66/1.04 ), X ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.66/1.04 , :=( Y, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 963, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.66/1.04 ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 965, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.66/1.04 , clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 966, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.66/1.04 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 , 0, clause( 965, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.66/1.04 , 0, 4, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 0.66/1.04 , [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 969, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.66/1.04 , clause( 966, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.66/1.04 , clause( 969, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 970, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.66/1.04 , clause( 20, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 974, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 970, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.66/1.04 ] )
% 0.66/1.04 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.66/1.04 , :=( Y, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 976, [ =( truth, implies( X, X ) ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 974, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.66/1.04 :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 977, [ =( implies( X, X ), truth ) ] )
% 0.66/1.04 , clause( 976, [ =( truth, implies( X, X ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.66/1.04 , clause( 977, [ =( implies( X, X ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 980, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 0.66/1.04 ) ), truth ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 0.66/1.04 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 980, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth )
% 0.66/1.04 ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.04 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 982, [ =( truth, implies( X, X ) ) ] )
% 0.66/1.04 , clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 984, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.66/1.04 , clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.66/1.04 ] )
% 0.66/1.04 , 0, clause( 982, [ =( truth, implies( X, X ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 985, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.66/1.04 , clause( 984, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.66/1.04 , clause( 985, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 986, [ =( truth, implies( X, X ) ) ] )
% 0.66/1.04 , clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 988, [ =( truth, or( X, not( X ) ) ) ] )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, clause( 986, [ =( truth, implies( X, X ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.66/1.04 1, [ :=( X, not( X ) )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 989, [ =( or( X, not( X ) ), truth ) ] )
% 0.66/1.04 , clause( 988, [ =( truth, or( X, not( X ) ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.66/1.04 , clause( 989, [ =( or( X, not( X ) ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 990, [ =( truth, or( X, not( X ) ) ) ] )
% 0.66/1.04 , clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 991, [ =( truth, or( not( X ), X ) ) ] )
% 0.66/1.04 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 , 0, clause( 990, [ =( truth, or( X, not( X ) ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.66/1.04 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 994, [ =( or( not( X ), X ), truth ) ] )
% 0.66/1.04 , clause( 991, [ =( truth, or( not( X ), X ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.66/1.04 , clause( 994, [ =( or( not( X ), X ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 996, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.66/1.04 , clause( 20, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 997, [ =( truth, implies( X, truth ) ) ] )
% 0.66/1.04 , clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.66/1.04 , 0, clause( 996, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.66/1.04 ] )
% 0.66/1.04 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.66/1.04 :=( Y, truth )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 999, [ =( implies( X, truth ), truth ) ] )
% 0.66/1.04 , clause( 997, [ =( truth, implies( X, truth ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.66/1.04 , clause( 999, [ =( implies( X, truth ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1001, [ =( truth, implies( X, truth ) ) ] )
% 0.66/1.04 , clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1004, [ =( truth, or( X, truth ) ) ] )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, clause( 1001, [ =( truth, implies( X, truth ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.66/1.04 , [ :=( X, not( X ) )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1005, [ =( truth, implies( falsehood, X ) ) ] )
% 0.66/1.04 , clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.66/1.04 , 0, clause( 1004, [ =( truth, or( X, truth ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1006, [ =( implies( falsehood, X ), truth ) ] )
% 0.66/1.04 , clause( 1005, [ =( truth, implies( falsehood, X ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.66/1.04 , clause( 1006, [ =( implies( falsehood, X ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1010, [ =( implies( implies( X, falsehood ), falsehood ), implies(
% 0.66/1.04 truth, X ) ) ] )
% 0.66/1.04 , clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.66/1.04 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.66/1.04 ), X ) ) ] )
% 0.66/1.04 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.66/1.04 :=( Y, falsehood )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1011, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 1010, [ =( implies( implies( X, falsehood ), falsehood ),
% 0.66/1.04 implies( truth, X ) ) ] )
% 0.66/1.04 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.66/1.04 , clause( 1011, [ =( implies( implies( X, falsehood ), falsehood ), X ) ]
% 0.66/1.04 )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1014, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1015, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 0.66/1.04 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.66/1.04 , 0, clause( 1014, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.66/1.04 )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1017, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.66/1.04 , clause( 1015, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.66/1.04 , clause( 1017, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1020, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1022, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ] )
% 0.66/1.04 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.66/1.04 , 0, clause( 1020, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, truth
% 0.66/1.04 )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1024, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 , clause( 1022, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 , clause( 1024, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1026, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ] )
% 0.66/1.04 , clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1027, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, clause( 1026, [ =( X, implies( implies( X, falsehood ), falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.66/1.04 substitution( 1, [ :=( X, not( X ) )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1028, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 1027, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.66/1.04 , clause( 1028, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1030, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1032, [ =( not( not( falsehood ) ), implies( truth, falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.66/1.04 , 0, clause( 1030, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 0.66/1.04 ) ] )
% 0.66/1.04 , 0, 5, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [ :=( X
% 0.66/1.04 , not( falsehood ) )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1033, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 1032, [ =( not( not( falsehood ) ), implies( truth, falsehood
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , 0, 4, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.66/1.04 , clause( 1033, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.66/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1035, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1036, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 , 0, clause( 1035, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 0.66/1.04 ) ] )
% 0.66/1.04 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.66/1.04 substitution( 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1039, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 1036, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.66/1.04 , clause( 1039, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1041, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1044, [ =( and( X, not( falsehood ) ), not( or( not( X ), falsehood
% 0.66/1.04 ) ) ) ] )
% 0.66/1.04 , clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.66/1.04 , 0, clause( 1041, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, not(
% 0.66/1.04 falsehood ) )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1045, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 , clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 , 0, clause( 1044, [ =( and( X, not( falsehood ) ), not( or( not( X ),
% 0.66/1.04 falsehood ) ) ) ] )
% 0.66/1.04 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 , clause( 1045, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1048, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1050, [ =( or( not( falsehood ), X ), implies( falsehood, X ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.66/1.04 , 0, clause( 1048, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.66/1.04 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, not( falsehood ) )
% 0.66/1.04 , :=( Y, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1051, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.66/1.04 , clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.66/1.04 , 0, clause( 1050, [ =( or( not( falsehood ), X ), implies( falsehood, X )
% 0.66/1.04 ) ] )
% 0.66/1.04 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.66/1.04 , clause( 1051, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1054, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1056, [ =( and( falsehood, X ), not( truth ) ) ] )
% 0.66/1.04 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.66/1.04 , 0, clause( 1054, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.66/1.04 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.66/1.04 falsehood ), :=( Y, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1057, [ =( and( falsehood, X ), falsehood ) ] )
% 0.66/1.04 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.66/1.04 , 0, clause( 1056, [ =( and( falsehood, X ), not( truth ) ) ] )
% 0.66/1.04 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.66/1.04 , clause( 1057, [ =( and( falsehood, X ), falsehood ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1059, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.66/1.04 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1060, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.66/1.04 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 , 0, clause( 1059, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, not( falsehood ) ), :=( Y, X )] ),
% 0.66/1.04 substitution( 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1063, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 , clause( 1060, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 , clause( 1063, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1064, [ =( falsehood, and( falsehood, X ) ) ] )
% 0.66/1.04 , clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1065, [ =( falsehood, and( X, falsehood ) ) ] )
% 0.66/1.04 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.66/1.04 , 0, clause( 1064, [ =( falsehood, and( falsehood, X ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 0.66/1.04 substitution( 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1068, [ =( and( X, falsehood ), falsehood ) ] )
% 0.66/1.04 , clause( 1065, [ =( falsehood, and( X, falsehood ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.66/1.04 , clause( 1068, [ =( and( X, falsehood ), falsehood ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1070, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1072, [ =( xor( X, falsehood ), or( and( X, not( falsehood ) ),
% 0.66/1.04 falsehood ) ) ] )
% 0.66/1.04 , clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.66/1.04 , 0, clause( 1070, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 0.66/1.04 , Y ) ) ) ] )
% 0.66/1.04 , 0, 9, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.66/1.04 X ), :=( Y, falsehood )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1073, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.66/1.04 , 0, clause( 1072, [ =( xor( X, falsehood ), or( and( X, not( falsehood ) )
% 0.66/1.04 , falsehood ) ) ] )
% 0.66/1.04 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1074, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 1073, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood )
% 0.66/1.04 ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 1074, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood )
% 0.66/1.04 ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1076, [ =( implies( implies( Y, not( X ) ), not( X ) ), implies( or(
% 0.66/1.04 X, Y ), Y ) ) ] )
% 0.66/1.04 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.66/1.04 ), not( X ) ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1079, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.66/1.04 ), implies( truth, not( falsehood ) ) ) ] )
% 0.66/1.04 , clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 , 0, clause( 1076, [ =( implies( implies( Y, not( X ) ), not( X ) ),
% 0.66/1.04 implies( or( X, Y ), Y ) ) ] )
% 0.66/1.04 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.66/1.04 :=( Y, not( falsehood ) )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1080, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.66/1.04 ), not( falsehood ) ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 1079, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.66/1.04 X ) ), implies( truth, not( falsehood ) ) ) ] )
% 0.66/1.04 , 0, 9, substitution( 0, [ :=( X, not( falsehood ) )] ), substitution( 1, [
% 0.66/1.04 :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1081, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.66/1.04 falsehood ) ) ] )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, clause( 1080, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.66/1.04 X ) ), not( falsehood ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.66/1.04 substitution( 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.66/1.04 falsehood ) ) ] )
% 0.66/1.04 , clause( 1081, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.66/1.04 falsehood ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1083, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1084, [ =( xor( X, falsehood ), or( falsehood, and( X, truth ) ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.04 , 0, clause( 1083, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , 0, 4, substitution( 0, [ :=( X, and( X, truth ) ), :=( Y, falsehood )] )
% 0.66/1.04 , substitution( 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1087, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 1084, [ =( xor( X, falsehood ), or( falsehood, and( X, truth ) )
% 0.66/1.04 ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 1087, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood )
% 0.66/1.04 ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1088, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1089, [ =( xor( X, falsehood ), or( and( truth, X ), falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.66/1.04 , 0, clause( 1088, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.66/1.04 , [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1092, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 1089, [ =( xor( X, falsehood ), or( and( truth, X ), falsehood )
% 0.66/1.04 ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 1092, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood )
% 0.66/1.04 ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1094, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X ) ) ) ]
% 0.66/1.04 )
% 0.66/1.04 , clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.66/1.04 )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1096, [ =( truth, implies( truth, implies( X, not( falsehood ) ) )
% 0.66/1.04 ) ] )
% 0.66/1.04 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.66/1.04 , 0, clause( 1094, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X )
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.66/1.04 not( falsehood ) ), :=( Y, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1097, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 1096, [ =( truth, implies( truth, implies( X, not( falsehood )
% 0.66/1.04 ) ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, implies( X, not( falsehood ) ) )] ),
% 0.66/1.04 substitution( 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1098, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 , clause( 1097, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 , clause( 1098, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1099, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.66/1.04 , clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1104, [ =( truth, implies( implies( not( falsehood ), not( X ) ),
% 0.66/1.04 not( X ) ) ) ] )
% 0.66/1.04 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.66/1.04 ), not( X ) ) ) ] )
% 0.66/1.04 , 0, clause( 1099, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( falsehood ) )] ),
% 0.66/1.04 substitution( 1, [ :=( X, or( X, not( falsehood ) ) )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1105, [ =( truth, implies( or( falsehood, not( X ) ), not( X ) ) )
% 0.66/1.04 ] )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, clause( 1104, [ =( truth, implies( implies( not( falsehood ), not( X )
% 0.66/1.04 ), not( X ) ) ) ] )
% 0.66/1.04 , 0, 3, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.66/1.04 substitution( 1, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1106, [ =( truth, not( falsehood ) ) ] )
% 0.66/1.04 , clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.66/1.04 falsehood ) ) ] )
% 0.66/1.04 , 0, clause( 1105, [ =( truth, implies( or( falsehood, not( X ) ), not( X )
% 0.66/1.04 ) ) ] )
% 0.66/1.04 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1107, [ =( not( falsehood ), truth ) ] )
% 0.66/1.04 , clause( 1106, [ =( truth, not( falsehood ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.66/1.04 , clause( 1107, [ =( not( falsehood ), truth ) ] )
% 0.66/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1109, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.66/1.04 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1111, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.66/1.04 , clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.66/1.04 , 0, clause( 1109, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.66/1.04 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, falsehood ), :=( Y
% 0.66/1.04 , X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1112, [ =( or( falsehood, X ), X ) ] )
% 0.66/1.04 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.66/1.04 , 0, clause( 1111, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.66/1.04 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.04 ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.66/1.04 , clause( 1112, [ =( or( falsehood, X ), X ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 eqswap(
% 0.66/1.04 clause( 1115, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 0.66/1.04 , clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.66/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 paramod(
% 0.66/1.04 clause( 1116, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.66/1.04 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.66/1.04 , 0, clause( 1115, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) )
% 0.66/1.04 ] )
% 0.66/1.04 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.66/1.04 X )] )).
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 subsumption(
% 0.66/1.04 clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.66/1.04 , clause( 1116, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.66/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1118, [ =( X, or( falsehood, X ) ) ] )
% 0.66/1.05 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1120, [ =( and( X, truth ), xor( X, falsehood ) ) ] )
% 0.66/1.05 , clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) )
% 0.66/1.05 ] )
% 0.66/1.05 , 0, clause( 1118, [ =( X, or( falsehood, X ) ) ] )
% 0.66/1.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and( X
% 0.66/1.05 , truth ) )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1121, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.66/1.05 , clause( 1120, [ =( and( X, truth ), xor( X, falsehood ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.66/1.05 , clause( 1121, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1123, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.66/1.05 )
% 0.66/1.05 , clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.66/1.05 )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1124, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.66/1.05 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.66/1.05 , 0, clause( 1123, [ =( not( X ), implies( or( falsehood, X ), falsehood )
% 0.66/1.05 ) ] )
% 0.66/1.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1125, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.66/1.05 , clause( 1124, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.66/1.05 , clause( 1125, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1126, [ =( X, or( falsehood, X ) ) ] )
% 0.66/1.05 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1127, [ =( X, or( X, falsehood ) ) ] )
% 0.66/1.05 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.66/1.05 , 0, clause( 1126, [ =( X, or( falsehood, X ) ) ] )
% 0.66/1.05 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 0.66/1.05 substitution( 1, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1130, [ =( or( X, falsehood ), X ) ] )
% 0.66/1.05 , clause( 1127, [ =( X, or( X, falsehood ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.66/1.05 , clause( 1130, [ =( or( X, falsehood ), X ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1131, [ =( X, or( X, falsehood ) ) ] )
% 0.66/1.05 , clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1135, [ =( and( truth, X ), xor( X, falsehood ) ) ] )
% 0.66/1.05 , clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) )
% 0.66/1.05 ] )
% 0.66/1.05 , 0, clause( 1131, [ =( X, or( X, falsehood ) ) ] )
% 0.66/1.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and(
% 0.66/1.05 truth, X ) )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1136, [ =( not( not( X ) ), xor( X, falsehood ) ) ] )
% 0.66/1.05 , clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.66/1.05 , 0, clause( 1135, [ =( and( truth, X ), xor( X, falsehood ) ) ] )
% 0.66/1.05 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1137, [ =( not( not( X ) ), and( X, truth ) ) ] )
% 0.66/1.05 , clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.66/1.05 , 0, clause( 1136, [ =( not( not( X ) ), xor( X, falsehood ) ) ] )
% 0.66/1.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1138, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.66/1.05 , clause( 1137, [ =( not( not( X ) ), and( X, truth ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.66/1.05 , clause( 1138, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1139, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.66/1.05 , clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1142, [ =( not( implies( X, falsehood ) ), X ) ] )
% 0.66/1.05 , clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.66/1.05 , 0, clause( 1139, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.66/1.05 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.66/1.05 X, falsehood ) )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1143, [ =( not( not( X ) ), X ) ] )
% 0.66/1.05 , clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.66/1.05 , 0, clause( 1142, [ =( not( implies( X, falsehood ) ), X ) ] )
% 0.66/1.05 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.66/1.05 , clause( 1143, [ =( not( not( X ) ), X ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1148, [ =( xor( X, falsehood ), not( not( X ) ) ) ] )
% 0.66/1.05 , clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.66/1.05 , 0, clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.66/1.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 paramod(
% 0.66/1.05 clause( 1149, [ =( xor( X, falsehood ), X ) ] )
% 0.66/1.05 , clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.66/1.05 , 0, clause( 1148, [ =( xor( X, falsehood ), not( not( X ) ) ) ] )
% 0.66/1.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 865, [ =( xor( X, falsehood ), X ) ] )
% 0.66/1.05 , clause( 1149, [ =( xor( X, falsehood ), X ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1151, [ =( X, xor( X, falsehood ) ) ] )
% 0.66/1.05 , clause( 865, [ =( xor( X, falsehood ), X ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 eqswap(
% 0.66/1.05 clause( 1152, [ ~( =( x, xor( x, falsehood ) ) ) ] )
% 0.66/1.05 , clause( 14, [ ~( =( xor( x, falsehood ), x ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 1153, [] )
% 0.66/1.05 , clause( 1152, [ ~( =( x, xor( x, falsehood ) ) ) ] )
% 0.66/1.05 , 0, clause( 1151, [ =( X, xor( X, falsehood ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 866, [] )
% 0.66/1.05 , clause( 1153, [] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 end.
% 0.66/1.05
% 0.66/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.05
% 0.66/1.05 Memory use:
% 0.66/1.05
% 0.66/1.05 space for terms: 10219
% 0.66/1.05 space for clauses: 93428
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 clauses generated: 7423
% 0.66/1.05 clauses kept: 867
% 0.66/1.05 clauses selected: 158
% 0.66/1.05 clauses deleted: 42
% 0.66/1.05 clauses inuse deleted: 0
% 0.66/1.05
% 0.66/1.05 subsentry: 1081
% 0.66/1.05 literals s-matched: 557
% 0.66/1.05 literals matched: 557
% 0.66/1.05 full subsumption: 0
% 0.66/1.05
% 0.66/1.05 checksum: 469407701
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 Bliksem ended
%------------------------------------------------------------------------------