TSTP Solution File: LCL153-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL153-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 0.82s 1.20s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL153-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 21:21:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.82/1.20 *** allocated 10000 integers for termspace/termends
% 0.82/1.20 *** allocated 10000 integers for clauses
% 0.82/1.20 *** allocated 10000 integers for justifications
% 0.82/1.20 Bliksem 1.12
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Automatic Strategy Selection
% 0.82/1.20
% 0.82/1.20 Clauses:
% 0.82/1.20 [
% 0.82/1.20 [ =( implies( truth, X ), X ) ],
% 0.82/1.20 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.82/1.20 ) ), truth ) ],
% 0.82/1.20 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.82/1.20 ],
% 0.82/1.20 [ =( or( X, Y ), implies( not( X ), Y ) ) ],
% 0.82/1.20 [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ],
% 0.82/1.20 [ =( or( X, Y ), or( Y, X ) ) ],
% 0.82/1.20 [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.82/1.20 [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ],
% 0.82/1.20 [ =( and( X, Y ), and( Y, X ) ) ],
% 0.82/1.20 [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y ) ) ) ],
% 0.82/1.20 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 0.82/1.20 [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.82/1.20 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 0.82/1.20 Z ) ) ) ],
% 0.82/1.20 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 0.82/1.20 [ =( not( truth ), falsehood ) ],
% 0.82/1.20 [ ~( =( not( x ), xor( x, truth ) ) ) ]
% 0.82/1.20 ] .
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 percentage equality = 1.000000, percentage horn = 1.000000
% 0.82/1.20 This is a pure equality problem
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Options Used:
% 0.82/1.20
% 0.82/1.20 useres = 1
% 0.82/1.20 useparamod = 1
% 0.82/1.20 useeqrefl = 1
% 0.82/1.20 useeqfact = 1
% 0.82/1.20 usefactor = 1
% 0.82/1.20 usesimpsplitting = 0
% 0.82/1.20 usesimpdemod = 5
% 0.82/1.20 usesimpres = 3
% 0.82/1.20
% 0.82/1.20 resimpinuse = 1000
% 0.82/1.20 resimpclauses = 20000
% 0.82/1.20 substype = eqrewr
% 0.82/1.20 backwardsubs = 1
% 0.82/1.20 selectoldest = 5
% 0.82/1.20
% 0.82/1.20 litorderings [0] = split
% 0.82/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.20
% 0.82/1.20 termordering = kbo
% 0.82/1.20
% 0.82/1.20 litapriori = 0
% 0.82/1.20 termapriori = 1
% 0.82/1.20 litaposteriori = 0
% 0.82/1.20 termaposteriori = 0
% 0.82/1.20 demodaposteriori = 0
% 0.82/1.20 ordereqreflfact = 0
% 0.82/1.20
% 0.82/1.20 litselect = negord
% 0.82/1.20
% 0.82/1.20 maxweight = 15
% 0.82/1.20 maxdepth = 30000
% 0.82/1.20 maxlength = 115
% 0.82/1.20 maxnrvars = 195
% 0.82/1.20 excuselevel = 1
% 0.82/1.20 increasemaxweight = 1
% 0.82/1.20
% 0.82/1.20 maxselected = 10000000
% 0.82/1.20 maxnrclauses = 10000000
% 0.82/1.20
% 0.82/1.20 showgenerated = 0
% 0.82/1.20 showkept = 0
% 0.82/1.20 showselected = 0
% 0.82/1.20 showdeleted = 0
% 0.82/1.20 showresimp = 1
% 0.82/1.20 showstatus = 2000
% 0.82/1.20
% 0.82/1.20 prologoutput = 1
% 0.82/1.20 nrgoals = 5000000
% 0.82/1.20 totalproof = 1
% 0.82/1.20
% 0.82/1.20 Symbols occurring in the translation:
% 0.82/1.20
% 0.82/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.20 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.82/1.20 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.82/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.82/1.20 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.82/1.20 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.82/1.20 or [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.82/1.20 and [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.82/1.20 xor [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.82/1.20 'and_star' [48, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.82/1.20 falsehood [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.82/1.20 x [50, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Starting Search:
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Bliksems!, er is een bewijs:
% 0.82/1.20 % SZS status Unsatisfiable
% 0.82/1.20 % SZS output start Refutation
% 0.82/1.20
% 0.82/1.20 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.82/1.20 X, Z ) ) ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.82/1.20 ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.82/1.20 truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.82/1.20 ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 14, [ ~( =( xor( x, truth ), not( x ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 20, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.82/1.20 , not( X ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.82/1.20 falsehood ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 877, [ =( and( X, truth ), X ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 879, [ =( xor( X, truth ), not( X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 880, [] )
% 0.82/1.20 .
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 % SZS output end Refutation
% 0.82/1.20 found a proof!
% 0.82/1.20
% 0.82/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.20
% 0.82/1.20 initialclauses(
% 0.82/1.20 [ clause( 882, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , clause( 883, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.82/1.20 implies( X, Z ) ) ), truth ) ] )
% 0.82/1.20 , clause( 884, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.82/1.20 , X ) ) ] )
% 0.82/1.20 , clause( 885, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.82/1.20 ), truth ) ] )
% 0.82/1.20 , clause( 886, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.82/1.20 , clause( 887, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 0.82/1.20 , clause( 888, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.20 , clause( 889, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.20 , clause( 890, [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ] )
% 0.82/1.20 , clause( 891, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.82/1.20 , clause( 892, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.82/1.20 ) ) ] )
% 0.82/1.20 , clause( 893, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.82/1.20 , clause( 894, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ]
% 0.82/1.20 )
% 0.82/1.20 , clause( 895, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 0.82/1.20 'and_star'( Y, Z ) ) ) ] )
% 0.82/1.20 , clause( 896, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.82/1.20 , clause( 897, [ =( not( truth ), falsehood ) ] )
% 0.82/1.20 , clause( 898, [ ~( =( not( x ), xor( x, truth ) ) ) ] )
% 0.82/1.20 ] ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , clause( 882, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.82/1.20 X, Z ) ) ), truth ) ] )
% 0.82/1.20 , clause( 883, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.82/1.20 implies( X, Z ) ) ), truth ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.82/1.20 ) ) ] )
% 0.82/1.20 , clause( 884, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.82/1.20 , X ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.82/1.20 truth ) ] )
% 0.82/1.20 , clause( 885, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.82/1.20 ), truth ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 910, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 , clause( 886, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 , clause( 910, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.20 , clause( 888, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 921, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.82/1.20 , clause( 889, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.82/1.20 , clause( 921, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.82/1.20 , clause( 891, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 936, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.82/1.20 ) ] )
% 0.82/1.20 , clause( 892, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.82/1.20 ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.82/1.20 ) ] )
% 0.82/1.20 , clause( 936, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.82/1.20 ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.82/1.20 , clause( 897, [ =( not( truth ), falsehood ) ] )
% 0.82/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 959, [ ~( =( xor( x, truth ), not( x ) ) ) ] )
% 0.82/1.20 , clause( 898, [ ~( =( not( x ), xor( x, truth ) ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 14, [ ~( =( xor( x, truth ), not( x ) ) ) ] )
% 0.82/1.20 , clause( 959, [ ~( =( xor( x, truth ), not( x ) ) ) ] )
% 0.82/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 961, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.82/1.20 , implies( X, Z ) ) ) ) ] )
% 0.82/1.20 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.82/1.20 implies( X, Z ) ) ), truth ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 965, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.82/1.20 , Y ), Y ) ) ) ] )
% 0.82/1.20 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , 0, clause( 961, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.82/1.20 , Z ), implies( X, Z ) ) ) ) ] )
% 0.82/1.20 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.82/1.20 ), :=( Y, X ), :=( Z, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 967, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.82/1.20 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , 0, clause( 965, [ =( truth, implies( implies( truth, X ), implies(
% 0.82/1.20 implies( X, Y ), Y ) ) ) ] )
% 0.82/1.20 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.82/1.20 :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 968, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.82/1.20 , clause( 967, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.82/1.20 )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 20, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.82/1.20 , clause( 968, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.82/1.20 )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 970, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.82/1.20 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 971, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.82/1.20 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.82/1.20 , 0, clause( 970, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.82/1.20 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.82/1.20 )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.82/1.20 , clause( 971, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 974, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.82/1.20 , not( X ) ) ) ] )
% 0.82/1.20 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.82/1.20 ), X ) ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.82/1.20 :=( X, not( X ) ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.82/1.20 , not( X ) ) ) ] )
% 0.82/1.20 , clause( 974, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.82/1.20 ), not( X ) ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 977, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.82/1.20 ] )
% 0.82/1.20 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.82/1.20 ), X ) ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.82/1.20 , :=( Y, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.82/1.20 )
% 0.82/1.20 , clause( 977, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.82/1.20 ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 979, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.82/1.20 , clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 980, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.82/1.20 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.20 , 0, clause( 979, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.82/1.20 , 0, 4, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 0.82/1.20 , [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 983, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.82/1.20 , clause( 980, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.82/1.20 , clause( 983, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 984, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.82/1.20 , clause( 20, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.82/1.20 )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 988, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.82/1.20 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , 0, clause( 984, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.82/1.20 ] )
% 0.82/1.20 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.82/1.20 , :=( Y, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 990, [ =( truth, implies( X, X ) ) ] )
% 0.82/1.20 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , 0, clause( 988, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.82/1.20 :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 991, [ =( implies( X, X ), truth ) ] )
% 0.82/1.20 , clause( 990, [ =( truth, implies( X, X ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.82/1.20 , clause( 991, [ =( implies( X, X ), truth ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 994, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.82/1.20 )
% 0.82/1.20 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 , 0, clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 0.82/1.20 ) ), truth ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 0.82/1.20 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.82/1.20 )
% 0.82/1.20 , clause( 994, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth )
% 0.82/1.20 ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 996, [ =( truth, implies( X, X ) ) ] )
% 0.82/1.20 , clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 998, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.82/1.20 , clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.82/1.20 ] )
% 0.82/1.20 , 0, clause( 996, [ =( truth, implies( X, X ) ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.20 ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 999, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.82/1.20 , clause( 998, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.82/1.20 , clause( 999, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1000, [ =( truth, implies( X, X ) ) ] )
% 0.82/1.20 , clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1002, [ =( truth, or( X, not( X ) ) ) ] )
% 0.82/1.20 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 , 0, clause( 1000, [ =( truth, implies( X, X ) ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.82/1.20 1, [ :=( X, not( X ) )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1003, [ =( or( X, not( X ) ), truth ) ] )
% 0.82/1.20 , clause( 1002, [ =( truth, or( X, not( X ) ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.82/1.20 , clause( 1003, [ =( or( X, not( X ) ), truth ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1004, [ =( truth, or( X, not( X ) ) ) ] )
% 0.82/1.20 , clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1005, [ =( truth, or( not( X ), X ) ) ] )
% 0.82/1.20 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.20 , 0, clause( 1004, [ =( truth, or( X, not( X ) ) ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.82/1.20 1, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1008, [ =( or( not( X ), X ), truth ) ] )
% 0.82/1.20 , clause( 1005, [ =( truth, or( not( X ), X ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.82/1.20 , clause( 1008, [ =( or( not( X ), X ), truth ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1010, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.82/1.20 )
% 0.82/1.20 , clause( 20, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.82/1.20 )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1011, [ =( truth, implies( X, truth ) ) ] )
% 0.82/1.20 , clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.82/1.20 , 0, clause( 1010, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 0.82/1.20 ) ] )
% 0.82/1.20 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.82/1.20 :=( Y, truth )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1013, [ =( implies( X, truth ), truth ) ] )
% 0.82/1.20 , clause( 1011, [ =( truth, implies( X, truth ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.82/1.20 , clause( 1013, [ =( implies( X, truth ), truth ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1015, [ =( truth, implies( X, truth ) ) ] )
% 0.82/1.20 , clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1018, [ =( truth, or( X, truth ) ) ] )
% 0.82/1.20 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.20 , 0, clause( 1015, [ =( truth, implies( X, truth ) ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.82/1.20 , [ :=( X, not( X ) )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1019, [ =( truth, implies( falsehood, X ) ) ] )
% 0.82/1.20 , clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.82/1.20 , 0, clause( 1018, [ =( truth, or( X, truth ) ) ] )
% 0.82/1.20 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.20 ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1020, [ =( implies( falsehood, X ), truth ) ] )
% 0.82/1.20 , clause( 1019, [ =( truth, implies( falsehood, X ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.82/1.20 , clause( 1020, [ =( implies( falsehood, X ), truth ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1024, [ =( implies( implies( X, falsehood ), falsehood ), implies(
% 0.82/1.20 truth, X ) ) ] )
% 0.82/1.20 , clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.82/1.20 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.82/1.20 ), X ) ) ] )
% 0.82/1.20 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.82/1.20 :=( Y, falsehood )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1025, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.82/1.20 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.20 , 0, clause( 1024, [ =( implies( implies( X, falsehood ), falsehood ),
% 0.82/1.20 implies( truth, X ) ) ] )
% 0.82/1.20 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.20 ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.82/1.20 , clause( 1025, [ =( implies( implies( X, falsehood ), falsehood ), X ) ]
% 0.82/1.20 )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1028, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.20 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1029, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 0.82/1.20 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.82/1.20 , 0, clause( 1028, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.20 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.82/1.20 )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1031, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.82/1.20 , clause( 1029, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ]
% 0.82/1.20 )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.82/1.20 , clause( 1031, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ]
% 0.82/1.20 )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 eqswap(
% 0.82/1.20 clause( 1034, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.20 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 paramod(
% 0.82/1.20 clause( 1036, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ] )
% 0.82/1.20 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.82/1.20 , 0, clause( 1034, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.20 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, truth
% 0.82/1.21 )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1038, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.21 , clause( 1036, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.21 , clause( 1038, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1040, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ] )
% 0.82/1.21 , clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1041, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.21 , 0, clause( 1040, [ =( X, implies( implies( X, falsehood ), falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.82/1.21 substitution( 1, [ :=( X, not( X ) )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1042, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 1041, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.82/1.21 , clause( 1042, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1044, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1046, [ =( not( not( falsehood ) ), implies( truth, falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.82/1.21 , 0, clause( 1044, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 0.82/1.21 ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [ :=( X
% 0.82/1.21 , not( falsehood ) )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1047, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.82/1.21 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.21 , 0, clause( 1046, [ =( not( not( falsehood ) ), implies( truth, falsehood
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.82/1.21 , clause( 1047, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.82/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1049, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1050, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.21 , 0, clause( 1049, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 0.82/1.21 ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.82/1.21 substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1053, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 1050, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.82/1.21 , clause( 1053, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1055, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.21 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1058, [ =( and( X, not( falsehood ) ), not( or( not( X ), falsehood
% 0.82/1.21 ) ) ) ] )
% 0.82/1.21 , clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.82/1.21 , 0, clause( 1055, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.21 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, not(
% 0.82/1.21 falsehood ) )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1059, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.21 , clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.21 , 0, clause( 1058, [ =( and( X, not( falsehood ) ), not( or( not( X ),
% 0.82/1.21 falsehood ) ) ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.21 , clause( 1059, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1062, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.82/1.21 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1064, [ =( or( not( falsehood ), X ), implies( falsehood, X ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.82/1.21 , 0, clause( 1062, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.82/1.21 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, not( falsehood ) )
% 0.82/1.21 , :=( Y, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1065, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.82/1.21 , clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.82/1.21 , 0, clause( 1064, [ =( or( not( falsehood ), X ), implies( falsehood, X )
% 0.82/1.21 ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.82/1.21 , clause( 1065, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1068, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.21 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1070, [ =( and( falsehood, X ), not( truth ) ) ] )
% 0.82/1.21 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.82/1.21 , 0, clause( 1068, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.82/1.21 falsehood ), :=( Y, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1071, [ =( and( falsehood, X ), falsehood ) ] )
% 0.82/1.21 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.82/1.21 , 0, clause( 1070, [ =( and( falsehood, X ), not( truth ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.82/1.21 , clause( 1071, [ =( and( falsehood, X ), falsehood ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1073, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.82/1.21 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1074, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.82/1.21 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.21 , 0, clause( 1073, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.82/1.21 , 0, 2, substitution( 0, [ :=( X, not( falsehood ) ), :=( Y, X )] ),
% 0.82/1.21 substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1077, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.82/1.21 , clause( 1074, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.82/1.21 , clause( 1077, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1078, [ =( falsehood, and( falsehood, X ) ) ] )
% 0.82/1.21 , clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1079, [ =( falsehood, and( X, falsehood ) ) ] )
% 0.82/1.21 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.82/1.21 , 0, clause( 1078, [ =( falsehood, and( falsehood, X ) ) ] )
% 0.82/1.21 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 0.82/1.21 substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1082, [ =( and( X, falsehood ), falsehood ) ] )
% 0.82/1.21 , clause( 1079, [ =( falsehood, and( X, falsehood ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.82/1.21 , clause( 1082, [ =( and( X, falsehood ), falsehood ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1084, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1086, [ =( xor( X, falsehood ), or( and( X, not( falsehood ) ),
% 0.82/1.21 falsehood ) ) ] )
% 0.82/1.21 , clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.82/1.21 , 0, clause( 1084, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 0.82/1.21 , Y ) ) ) ] )
% 0.82/1.21 , 0, 9, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.82/1.21 X ), :=( Y, falsehood )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1087, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.82/1.21 , 0, clause( 1086, [ =( xor( X, falsehood ), or( and( X, not( falsehood ) )
% 0.82/1.21 , falsehood ) ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1088, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 1087, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood )
% 0.82/1.21 ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 1088, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood )
% 0.82/1.21 ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1090, [ =( implies( implies( Y, not( X ) ), not( X ) ), implies( or(
% 0.82/1.21 X, Y ), Y ) ) ] )
% 0.82/1.21 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.82/1.21 ), not( X ) ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1093, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.82/1.21 ), implies( truth, not( falsehood ) ) ) ] )
% 0.82/1.21 , clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.82/1.21 , 0, clause( 1090, [ =( implies( implies( Y, not( X ) ), not( X ) ),
% 0.82/1.21 implies( or( X, Y ), Y ) ) ] )
% 0.82/1.21 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.82/1.21 :=( Y, not( falsehood ) )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1094, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.82/1.21 ), not( falsehood ) ) ] )
% 0.82/1.21 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.21 , 0, clause( 1093, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.82/1.21 X ) ), implies( truth, not( falsehood ) ) ) ] )
% 0.82/1.21 , 0, 9, substitution( 0, [ :=( X, not( falsehood ) )] ), substitution( 1, [
% 0.82/1.21 :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1095, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.82/1.21 falsehood ) ) ] )
% 0.82/1.21 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.21 , 0, clause( 1094, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.82/1.21 X ) ), not( falsehood ) ) ] )
% 0.82/1.21 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.82/1.21 substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.82/1.21 falsehood ) ) ] )
% 0.82/1.21 , clause( 1095, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.82/1.21 falsehood ) ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1097, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1098, [ =( xor( X, falsehood ), or( falsehood, and( X, truth ) ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.21 , 0, clause( 1097, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, and( X, truth ) ), :=( Y, falsehood )] )
% 0.82/1.21 , substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1101, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 1098, [ =( xor( X, falsehood ), or( falsehood, and( X, truth ) )
% 0.82/1.21 ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 1101, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood )
% 0.82/1.21 ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1102, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1103, [ =( xor( X, falsehood ), or( and( truth, X ), falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.82/1.21 , 0, clause( 1102, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.82/1.21 , [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1106, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 1103, [ =( xor( X, falsehood ), or( and( truth, X ), falsehood )
% 0.82/1.21 ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 1106, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood )
% 0.82/1.21 ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1108, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X ) ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.82/1.21 )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1110, [ =( truth, implies( truth, implies( X, not( falsehood ) ) )
% 0.82/1.21 ) ] )
% 0.82/1.21 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.82/1.21 , 0, clause( 1108, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X )
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.82/1.21 not( falsehood ) ), :=( Y, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1111, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.82/1.21 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.21 , 0, clause( 1110, [ =( truth, implies( truth, implies( X, not( falsehood )
% 0.82/1.21 ) ) ) ] )
% 0.82/1.21 , 0, 2, substitution( 0, [ :=( X, implies( X, not( falsehood ) ) )] ),
% 0.82/1.21 substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1112, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.82/1.21 , clause( 1111, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.82/1.21 , clause( 1112, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1113, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.82/1.21 , clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1118, [ =( truth, implies( implies( not( falsehood ), not( X ) ),
% 0.82/1.21 not( X ) ) ) ] )
% 0.82/1.21 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.82/1.21 ), not( X ) ) ) ] )
% 0.82/1.21 , 0, clause( 1113, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.82/1.21 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( falsehood ) )] ),
% 0.82/1.21 substitution( 1, [ :=( X, or( X, not( falsehood ) ) )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1119, [ =( truth, implies( or( falsehood, not( X ) ), not( X ) ) )
% 0.82/1.21 ] )
% 0.82/1.21 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.21 , 0, clause( 1118, [ =( truth, implies( implies( not( falsehood ), not( X )
% 0.82/1.21 ), not( X ) ) ) ] )
% 0.82/1.21 , 0, 3, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.82/1.21 substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1120, [ =( truth, not( falsehood ) ) ] )
% 0.82/1.21 , clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.82/1.21 falsehood ) ) ] )
% 0.82/1.21 , 0, clause( 1119, [ =( truth, implies( or( falsehood, not( X ) ), not( X )
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1121, [ =( not( falsehood ), truth ) ] )
% 0.82/1.21 , clause( 1120, [ =( truth, not( falsehood ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.82/1.21 , clause( 1121, [ =( not( falsehood ), truth ) ] )
% 0.82/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1123, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.82/1.21 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1125, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.82/1.21 , clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.82/1.21 , 0, clause( 1123, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, falsehood ), :=( Y
% 0.82/1.21 , X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1126, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.21 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.82/1.21 , 0, clause( 1125, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.21 , clause( 1126, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1129, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 0.82/1.21 , clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1130, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.82/1.21 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.21 , 0, clause( 1129, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) )
% 0.82/1.21 ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.82/1.21 X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.82/1.21 , clause( 1130, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1132, [ =( X, or( falsehood, X ) ) ] )
% 0.82/1.21 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1134, [ =( and( X, truth ), xor( X, falsehood ) ) ] )
% 0.82/1.21 , clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , 0, clause( 1132, [ =( X, or( falsehood, X ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and( X
% 0.82/1.21 , truth ) )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1135, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.82/1.21 , clause( 1134, [ =( and( X, truth ), xor( X, falsehood ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.82/1.21 , clause( 1135, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1137, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1138, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.82/1.21 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.21 , 0, clause( 1137, [ =( not( X ), implies( or( falsehood, X ), falsehood )
% 0.82/1.21 ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1139, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.82/1.21 , clause( 1138, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.82/1.21 , clause( 1139, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1140, [ =( X, or( falsehood, X ) ) ] )
% 0.82/1.21 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1141, [ =( X, or( X, falsehood ) ) ] )
% 0.82/1.21 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.82/1.21 , 0, clause( 1140, [ =( X, or( falsehood, X ) ) ] )
% 0.82/1.21 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 0.82/1.21 substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1144, [ =( or( X, falsehood ), X ) ] )
% 0.82/1.21 , clause( 1141, [ =( X, or( X, falsehood ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.82/1.21 , clause( 1144, [ =( or( X, falsehood ), X ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1145, [ =( X, or( X, falsehood ) ) ] )
% 0.82/1.21 , clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1149, [ =( and( truth, X ), xor( X, falsehood ) ) ] )
% 0.82/1.21 , clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) )
% 0.82/1.21 ] )
% 0.82/1.21 , 0, clause( 1145, [ =( X, or( X, falsehood ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and(
% 0.82/1.21 truth, X ) )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1150, [ =( not( not( X ) ), xor( X, falsehood ) ) ] )
% 0.82/1.21 , clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.82/1.21 , 0, clause( 1149, [ =( and( truth, X ), xor( X, falsehood ) ) ] )
% 0.82/1.21 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1151, [ =( not( not( X ) ), and( X, truth ) ) ] )
% 0.82/1.21 , clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.82/1.21 , 0, clause( 1150, [ =( not( not( X ) ), xor( X, falsehood ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1152, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.82/1.21 , clause( 1151, [ =( not( not( X ) ), and( X, truth ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.82/1.21 , clause( 1152, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1153, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.82/1.21 , clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1156, [ =( not( implies( X, falsehood ) ), X ) ] )
% 0.82/1.21 , clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.82/1.21 , 0, clause( 1153, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.82/1.21 X, falsehood ) )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1157, [ =( not( not( X ) ), X ) ] )
% 0.82/1.21 , clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.82/1.21 , 0, clause( 1156, [ =( not( implies( X, falsehood ) ), X ) ] )
% 0.82/1.21 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.82/1.21 , clause( 1157, [ =( not( not( X ) ), X ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1161, [ =( and( X, truth ), X ) ] )
% 0.82/1.21 , clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.82/1.21 , 0, clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 877, [ =( and( X, truth ), X ) ] )
% 0.82/1.21 , clause( 1161, [ =( and( X, truth ), X ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1164, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1168, [ =( xor( X, truth ), or( and( X, not( truth ) ), not( X ) )
% 0.82/1.21 ) ] )
% 0.82/1.21 , clause( 877, [ =( and( X, truth ), X ) ] )
% 0.82/1.21 , 0, clause( 1164, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 0.82/1.21 , Y ) ) ) ] )
% 0.82/1.21 , 0, 9, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.82/1.21 X ), :=( Y, truth )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1169, [ =( xor( X, truth ), or( and( X, falsehood ), not( X ) ) ) ]
% 0.82/1.21 )
% 0.82/1.21 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.82/1.21 , 0, clause( 1168, [ =( xor( X, truth ), or( and( X, not( truth ) ), not( X
% 0.82/1.21 ) ) ) ] )
% 0.82/1.21 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1170, [ =( xor( X, truth ), or( falsehood, not( X ) ) ) ] )
% 0.82/1.21 , clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.82/1.21 , 0, clause( 1169, [ =( xor( X, truth ), or( and( X, falsehood ), not( X )
% 0.82/1.21 ) ) ] )
% 0.82/1.21 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.21 ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 paramod(
% 0.82/1.21 clause( 1171, [ =( xor( X, truth ), not( X ) ) ] )
% 0.82/1.21 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.82/1.21 , 0, clause( 1170, [ =( xor( X, truth ), or( falsehood, not( X ) ) ) ] )
% 0.82/1.21 , 0, 4, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.82/1.21 X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 879, [ =( xor( X, truth ), not( X ) ) ] )
% 0.82/1.21 , clause( 1171, [ =( xor( X, truth ), not( X ) ) ] )
% 0.82/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1173, [ =( not( X ), xor( X, truth ) ) ] )
% 0.82/1.21 , clause( 879, [ =( xor( X, truth ), not( X ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 eqswap(
% 0.82/1.21 clause( 1174, [ ~( =( not( x ), xor( x, truth ) ) ) ] )
% 0.82/1.21 , clause( 14, [ ~( =( xor( x, truth ), not( x ) ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 resolution(
% 0.82/1.21 clause( 1175, [] )
% 0.82/1.21 , clause( 1174, [ ~( =( not( x ), xor( x, truth ) ) ) ] )
% 0.82/1.21 , 0, clause( 1173, [ =( not( X ), xor( X, truth ) ) ] )
% 0.82/1.21 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 subsumption(
% 0.82/1.21 clause( 880, [] )
% 0.82/1.21 , clause( 1175, [] )
% 0.82/1.21 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 end.
% 0.82/1.21
% 0.82/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.21
% 0.82/1.21 Memory use:
% 0.82/1.21
% 0.82/1.21 space for terms: 10363
% 0.82/1.21 space for clauses: 94776
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 clauses generated: 7786
% 0.82/1.21 clauses kept: 881
% 0.82/1.21 clauses selected: 162
% 0.82/1.21 clauses deleted: 46
% 0.82/1.21 clauses inuse deleted: 0
% 0.82/1.21
% 0.82/1.21 subsentry: 1097
% 0.82/1.21 literals s-matched: 563
% 0.82/1.21 literals matched: 563
% 0.82/1.21 full subsumption: 0
% 0.82/1.21
% 0.82/1.21 checksum: -262406823
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 Bliksem ended
%------------------------------------------------------------------------------