TSTP Solution File: LCL156-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL156-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:51:00 EDT 2022
% Result : Unsatisfiable 0.39s 0.86s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL156-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.07 % Command : bliksem %s
% 0.07/0.26 % Computer : n005.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % DateTime : Sun Jul 3 11:30:07 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.39/0.86 *** allocated 10000 integers for termspace/termends
% 0.39/0.86 *** allocated 10000 integers for clauses
% 0.39/0.86 *** allocated 10000 integers for justifications
% 0.39/0.86 Bliksem 1.12
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 Automatic Strategy Selection
% 0.39/0.86
% 0.39/0.86 Clauses:
% 0.39/0.86 [
% 0.39/0.86 [ =( implies( truth, X ), X ) ],
% 0.39/0.86 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.39/0.86 ) ), truth ) ],
% 0.39/0.86 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.39/0.86 ,
% 0.39/0.86 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.39/0.86 ],
% 0.39/0.86 [ =( or( X, Y ), implies( not( X ), Y ) ) ],
% 0.39/0.86 [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ],
% 0.39/0.86 [ =( or( X, Y ), or( Y, X ) ) ],
% 0.39/0.86 [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.39/0.86 [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ],
% 0.39/0.86 [ =( and( X, Y ), and( Y, X ) ) ],
% 0.39/0.86 [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y ) ) ) ],
% 0.39/0.86 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 0.39/0.86 [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.39/0.86 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 0.39/0.86 Z ) ) ) ],
% 0.39/0.86 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 0.39/0.86 [ =( not( truth ), falsehood ) ],
% 0.39/0.86 [ ~( =( 'and_star'( x, truth ), x ) ) ]
% 0.39/0.86 ] .
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 percentage equality = 1.000000, percentage horn = 1.000000
% 0.39/0.86 This is a pure equality problem
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 Options Used:
% 0.39/0.86
% 0.39/0.86 useres = 1
% 0.39/0.86 useparamod = 1
% 0.39/0.86 useeqrefl = 1
% 0.39/0.86 useeqfact = 1
% 0.39/0.86 usefactor = 1
% 0.39/0.86 usesimpsplitting = 0
% 0.39/0.86 usesimpdemod = 5
% 0.39/0.86 usesimpres = 3
% 0.39/0.86
% 0.39/0.86 resimpinuse = 1000
% 0.39/0.86 resimpclauses = 20000
% 0.39/0.86 substype = eqrewr
% 0.39/0.86 backwardsubs = 1
% 0.39/0.86 selectoldest = 5
% 0.39/0.86
% 0.39/0.86 litorderings [0] = split
% 0.39/0.86 litorderings [1] = extend the termordering, first sorting on arguments
% 0.39/0.86
% 0.39/0.86 termordering = kbo
% 0.39/0.86
% 0.39/0.86 litapriori = 0
% 0.39/0.86 termapriori = 1
% 0.39/0.86 litaposteriori = 0
% 0.39/0.86 termaposteriori = 0
% 0.39/0.86 demodaposteriori = 0
% 0.39/0.86 ordereqreflfact = 0
% 0.39/0.86
% 0.39/0.86 litselect = negord
% 0.39/0.86
% 0.39/0.86 maxweight = 15
% 0.39/0.86 maxdepth = 30000
% 0.39/0.86 maxlength = 115
% 0.39/0.86 maxnrvars = 195
% 0.39/0.86 excuselevel = 1
% 0.39/0.86 increasemaxweight = 1
% 0.39/0.86
% 0.39/0.86 maxselected = 10000000
% 0.39/0.86 maxnrclauses = 10000000
% 0.39/0.86
% 0.39/0.86 showgenerated = 0
% 0.39/0.86 showkept = 0
% 0.39/0.86 showselected = 0
% 0.39/0.86 showdeleted = 0
% 0.39/0.86 showresimp = 1
% 0.39/0.86 showstatus = 2000
% 0.39/0.86
% 0.39/0.86 prologoutput = 1
% 0.39/0.86 nrgoals = 5000000
% 0.39/0.86 totalproof = 1
% 0.39/0.86
% 0.39/0.86 Symbols occurring in the translation:
% 0.39/0.86
% 0.39/0.86 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.39/0.86 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.39/0.86 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.39/0.86 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.39/0.86 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.39/0.86 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.39/0.86 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.39/0.86 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.39/0.86 or [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.39/0.86 and [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.39/0.86 xor [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.39/0.86 'and_star' [48, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.39/0.86 falsehood [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.39/0.86 x [50, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 Starting Search:
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 Bliksems!, er is een bewijs:
% 0.39/0.86 % SZS status Unsatisfiable
% 0.39/0.86 % SZS output start Refutation
% 0.39/0.86
% 0.39/0.86 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.39/0.86 X, Z ) ) ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.39/0.86 ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.39/0.86 truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.39/0.86 ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 14, [ ~( =( and( x, truth ), x ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.39/0.86 , not( X ) ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.39/0.86 )
% 0.39/0.86 .
% 0.39/0.86 clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.39/0.86 )
% 0.39/0.86 .
% 0.39/0.86 clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) ) ]
% 0.39/0.86 )
% 0.39/0.86 .
% 0.39/0.86 clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.39/0.86 falsehood ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) ) ]
% 0.39/0.86 )
% 0.39/0.86 .
% 0.39/0.86 clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) ) ]
% 0.39/0.86 )
% 0.39/0.86 .
% 0.39/0.86 clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 877, [ =( and( X, truth ), X ) ] )
% 0.39/0.86 .
% 0.39/0.86 clause( 879, [] )
% 0.39/0.86 .
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 % SZS output end Refutation
% 0.39/0.86 found a proof!
% 0.39/0.86
% 0.39/0.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/0.86
% 0.39/0.86 initialclauses(
% 0.39/0.86 [ clause( 881, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , clause( 882, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.39/0.86 implies( X, Z ) ) ), truth ) ] )
% 0.39/0.86 , clause( 883, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.39/0.86 , X ) ) ] )
% 0.39/0.86 , clause( 884, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.39/0.86 ), truth ) ] )
% 0.39/0.86 , clause( 885, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.39/0.86 , clause( 886, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 0.39/0.86 , clause( 887, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.86 , clause( 888, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.86 , clause( 889, [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ] )
% 0.39/0.86 , clause( 890, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.39/0.86 , clause( 891, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.39/0.86 ) ) ] )
% 0.39/0.86 , clause( 892, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.39/0.86 , clause( 893, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ]
% 0.39/0.86 )
% 0.39/0.86 , clause( 894, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 0.39/0.86 'and_star'( Y, Z ) ) ) ] )
% 0.39/0.86 , clause( 895, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.39/0.86 , clause( 896, [ =( not( truth ), falsehood ) ] )
% 0.39/0.86 , clause( 897, [ ~( =( 'and_star'( x, truth ), x ) ) ] )
% 0.39/0.86 ] ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , clause( 881, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.39/0.86 X, Z ) ) ), truth ) ] )
% 0.39/0.86 , clause( 882, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.39/0.86 implies( X, Z ) ) ), truth ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/0.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.39/0.86 ) ) ] )
% 0.39/0.86 , clause( 883, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.39/0.86 , X ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.39/0.86 truth ) ] )
% 0.39/0.86 , clause( 884, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.39/0.86 ), truth ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 909, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 , clause( 885, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 , clause( 909, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.86 , clause( 887, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 920, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.86 , clause( 888, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.86 , clause( 920, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.39/0.86 , clause( 890, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 935, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.39/0.86 ) ] )
% 0.39/0.86 , clause( 891, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.39/0.86 ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.39/0.86 ) ] )
% 0.39/0.86 , clause( 935, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.39/0.86 ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 960, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.39/0.86 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.86 , 0, clause( 893, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) )
% 0.39/0.86 ) ] )
% 0.39/0.86 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.39/0.86 :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.39/0.86 , clause( 960, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.39/0.86 , clause( 896, [ =( not( truth ), falsehood ) ] )
% 0.39/0.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1065, [ ~( =( and( x, truth ), x ) ) ] )
% 0.39/0.86 , clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.39/0.86 , 0, clause( 897, [ ~( =( 'and_star'( x, truth ), x ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, truth )] ), substitution( 1
% 0.39/0.86 , [] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 14, [ ~( =( and( x, truth ), x ) ) ] )
% 0.39/0.86 , clause( 1065, [ ~( =( and( x, truth ), x ) ) ] )
% 0.39/0.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1068, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.39/0.86 ), implies( X, Z ) ) ) ) ] )
% 0.39/0.86 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.39/0.86 implies( X, Z ) ) ), truth ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1072, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.39/0.86 , Y ), Y ) ) ) ] )
% 0.39/0.86 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , 0, clause( 1068, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.39/0.86 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.39/0.86 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.39/0.86 ), :=( Y, X ), :=( Z, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1074, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.39/0.86 )
% 0.39/0.86 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , 0, clause( 1072, [ =( truth, implies( implies( truth, X ), implies(
% 0.39/0.86 implies( X, Y ), Y ) ) ) ] )
% 0.39/0.86 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.39/0.86 :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1075, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.39/0.86 )
% 0.39/0.86 , clause( 1074, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.39/0.86 )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.39/0.86 , clause( 1075, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.39/0.86 )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1077, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.39/0.86 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1078, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.39/0.86 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.39/0.86 , 0, clause( 1077, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.39/0.86 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.39/0.86 )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.39/0.86 , clause( 1078, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1081, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.39/0.86 ), not( X ) ) ) ] )
% 0.39/0.86 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.39/0.86 ), X ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.39/0.86 :=( X, not( X ) ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.39/0.86 , not( X ) ) ) ] )
% 0.39/0.86 , clause( 1081, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X
% 0.39/0.86 ) ), not( X ) ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1084, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.39/0.86 ] )
% 0.39/0.86 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.39/0.86 ), X ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.39/0.86 , :=( Y, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.39/0.86 )
% 0.39/0.86 , clause( 1084, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.39/0.86 ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1086, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.39/0.86 , clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1087, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.39/0.86 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.86 , 0, clause( 1086, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.39/0.86 , 0, 4, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 0.39/0.86 , [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1090, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.39/0.86 , clause( 1087, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.39/0.86 , clause( 1090, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1091, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.39/0.86 )
% 0.39/0.86 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.39/0.86 )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1095, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.39/0.86 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , 0, clause( 1091, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 0.39/0.86 ) ] )
% 0.39/0.86 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.39/0.86 , :=( Y, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1097, [ =( truth, implies( X, X ) ) ] )
% 0.39/0.86 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , 0, clause( 1095, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.39/0.86 :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1098, [ =( implies( X, X ), truth ) ] )
% 0.39/0.86 , clause( 1097, [ =( truth, implies( X, X ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.39/0.86 , clause( 1098, [ =( implies( X, X ), truth ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1101, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.39/0.86 )
% 0.39/0.86 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 , 0, clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 0.39/0.86 ) ), truth ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 0.39/0.86 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.39/0.86 )
% 0.39/0.86 , clause( 1101, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth )
% 0.39/0.86 ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/0.86 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1103, [ =( truth, implies( X, X ) ) ] )
% 0.39/0.86 , clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1105, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.39/0.86 , clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.39/0.86 ] )
% 0.39/0.86 , 0, clause( 1103, [ =( truth, implies( X, X ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.86 ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1106, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.39/0.86 , clause( 1105, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.39/0.86 , clause( 1106, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1107, [ =( truth, implies( X, X ) ) ] )
% 0.39/0.86 , clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1109, [ =( truth, or( X, not( X ) ) ) ] )
% 0.39/0.86 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 , 0, clause( 1107, [ =( truth, implies( X, X ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.39/0.86 1, [ :=( X, not( X ) )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1110, [ =( or( X, not( X ) ), truth ) ] )
% 0.39/0.86 , clause( 1109, [ =( truth, or( X, not( X ) ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.39/0.86 , clause( 1110, [ =( or( X, not( X ) ), truth ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1111, [ =( truth, or( X, not( X ) ) ) ] )
% 0.39/0.86 , clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1112, [ =( truth, or( not( X ), X ) ) ] )
% 0.39/0.86 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.86 , 0, clause( 1111, [ =( truth, or( X, not( X ) ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.39/0.86 1, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1115, [ =( or( not( X ), X ), truth ) ] )
% 0.39/0.86 , clause( 1112, [ =( truth, or( not( X ), X ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.39/0.86 , clause( 1115, [ =( or( not( X ), X ), truth ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1117, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.39/0.86 )
% 0.39/0.86 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.39/0.86 )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1118, [ =( truth, implies( X, truth ) ) ] )
% 0.39/0.86 , clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.39/0.86 , 0, clause( 1117, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 0.39/0.86 ) ] )
% 0.39/0.86 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.39/0.86 :=( Y, truth )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1120, [ =( implies( X, truth ), truth ) ] )
% 0.39/0.86 , clause( 1118, [ =( truth, implies( X, truth ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.39/0.86 , clause( 1120, [ =( implies( X, truth ), truth ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1122, [ =( truth, implies( X, truth ) ) ] )
% 0.39/0.86 , clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1125, [ =( truth, or( X, truth ) ) ] )
% 0.39/0.86 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.86 , 0, clause( 1122, [ =( truth, implies( X, truth ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.39/0.86 , [ :=( X, not( X ) )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1126, [ =( truth, implies( falsehood, X ) ) ] )
% 0.39/0.86 , clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.39/0.86 , 0, clause( 1125, [ =( truth, or( X, truth ) ) ] )
% 0.39/0.86 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.86 ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 eqswap(
% 0.39/0.86 clause( 1127, [ =( implies( falsehood, X ), truth ) ] )
% 0.39/0.86 , clause( 1126, [ =( truth, implies( falsehood, X ) ) ] )
% 0.39/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 subsumption(
% 0.39/0.86 clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.39/0.86 , clause( 1127, [ =( implies( falsehood, X ), truth ) ] )
% 0.39/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1131, [ =( implies( implies( X, falsehood ), falsehood ), implies(
% 0.39/0.86 truth, X ) ) ] )
% 0.39/0.86 , clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.39/0.86 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.39/0.86 ), X ) ) ] )
% 0.39/0.86 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.39/0.86 :=( Y, falsehood )] )).
% 0.39/0.86
% 0.39/0.86
% 0.39/0.86 paramod(
% 0.39/0.86 clause( 1132, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.39/0.86 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.86 , 0, clause( 1131, [ =( implies( implies( X, falsehood ), falsehood ),
% 0.39/0.86 implies( truth, X ) ) ] )
% 0.39/0.86 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.39/0.87 , clause( 1132, [ =( implies( implies( X, falsehood ), falsehood ), X ) ]
% 0.39/0.87 )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1135, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.87 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1136, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 0.39/0.87 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.39/0.87 , 0, clause( 1135, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.87 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.39/0.87 )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1138, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.39/0.87 , clause( 1136, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.39/0.87 , clause( 1138, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1141, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.87 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1143, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ] )
% 0.39/0.87 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.39/0.87 , 0, clause( 1141, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.87 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, truth
% 0.39/0.87 )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1145, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.87 , clause( 1143, [ =( and( X, truth ), not( or( not( X ), falsehood ) ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.87 , clause( 1145, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1147, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ] )
% 0.39/0.87 , clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1148, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.87 , 0, clause( 1147, [ =( X, implies( implies( X, falsehood ), falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.39/0.87 substitution( 1, [ :=( X, not( X ) )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1149, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 1148, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.39/0.87 , clause( 1149, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1151, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1153, [ =( not( not( falsehood ) ), implies( truth, falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.39/0.87 , 0, clause( 1151, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 0.39/0.87 ) ] )
% 0.39/0.87 , 0, 5, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [ :=( X
% 0.39/0.87 , not( falsehood ) )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1154, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.39/0.87 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.87 , 0, clause( 1153, [ =( not( not( falsehood ) ), implies( truth, falsehood
% 0.39/0.87 ) ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.39/0.87 , clause( 1154, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.39/0.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1156, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1157, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.87 , 0, clause( 1156, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 0.39/0.87 ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.39/0.87 substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1160, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 1157, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ] )
% 0.39/0.87 , clause( 1160, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1162, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.87 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1165, [ =( and( X, not( falsehood ) ), not( or( not( X ), falsehood
% 0.39/0.87 ) ) ) ] )
% 0.39/0.87 , clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.39/0.87 , 0, clause( 1162, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.87 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, not(
% 0.39/0.87 falsehood ) )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1166, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.87 , clause( 89, [ =( not( or( not( X ), falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.87 , 0, clause( 1165, [ =( and( X, not( falsehood ) ), not( or( not( X ),
% 0.39/0.87 falsehood ) ) ) ] )
% 0.39/0.87 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.87 , clause( 1166, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1169, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.39/0.87 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1171, [ =( or( not( falsehood ), X ), implies( falsehood, X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.39/0.87 , 0, clause( 1169, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.39/0.87 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, not( falsehood ) )
% 0.39/0.87 , :=( Y, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1172, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.39/0.87 , clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.39/0.87 , 0, clause( 1171, [ =( or( not( falsehood ), X ), implies( falsehood, X )
% 0.39/0.87 ) ] )
% 0.39/0.87 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.39/0.87 , clause( 1172, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1175, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.87 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1177, [ =( and( falsehood, X ), not( truth ) ) ] )
% 0.39/0.87 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.39/0.87 , 0, clause( 1175, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.39/0.87 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.39/0.87 falsehood ), :=( Y, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1178, [ =( and( falsehood, X ), falsehood ) ] )
% 0.39/0.87 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.39/0.87 , 0, clause( 1177, [ =( and( falsehood, X ), not( truth ) ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.39/0.87 , clause( 1178, [ =( and( falsehood, X ), falsehood ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1180, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.39/0.87 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1181, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.39/0.87 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.87 , 0, clause( 1180, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.39/0.87 , 0, 2, substitution( 0, [ :=( X, not( falsehood ) ), :=( Y, X )] ),
% 0.39/0.87 substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1184, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.39/0.87 , clause( 1181, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.39/0.87 , clause( 1184, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1185, [ =( falsehood, and( falsehood, X ) ) ] )
% 0.39/0.87 , clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1186, [ =( falsehood, and( X, falsehood ) ) ] )
% 0.39/0.87 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.39/0.87 , 0, clause( 1185, [ =( falsehood, and( falsehood, X ) ) ] )
% 0.39/0.87 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 0.39/0.87 substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1189, [ =( and( X, falsehood ), falsehood ) ] )
% 0.39/0.87 , clause( 1186, [ =( falsehood, and( X, falsehood ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.39/0.87 , clause( 1189, [ =( and( X, falsehood ), falsehood ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1191, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.39/0.87 ) ) ] )
% 0.39/0.87 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.39/0.87 ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1193, [ =( xor( X, falsehood ), or( and( X, not( falsehood ) ),
% 0.39/0.87 falsehood ) ) ] )
% 0.39/0.87 , clause( 157, [ =( and( X, falsehood ), falsehood ) ] )
% 0.39/0.87 , 0, clause( 1191, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 0.39/0.87 , Y ) ) ) ] )
% 0.39/0.87 , 0, 9, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.39/0.87 X ), :=( Y, falsehood )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1194, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 150, [ =( and( X, not( falsehood ) ), and( X, truth ) ) ] )
% 0.39/0.87 , 0, clause( 1193, [ =( xor( X, falsehood ), or( and( X, not( falsehood ) )
% 0.39/0.87 , falsehood ) ) ] )
% 0.39/0.87 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1195, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 1194, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood )
% 0.39/0.87 ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 1195, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood )
% 0.39/0.87 ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1197, [ =( implies( implies( Y, not( X ) ), not( X ) ), implies( or(
% 0.39/0.87 X, Y ), Y ) ) ] )
% 0.39/0.87 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.39/0.87 ), not( X ) ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1200, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.39/0.87 ), implies( truth, not( falsehood ) ) ) ] )
% 0.39/0.87 , clause( 154, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.39/0.87 , 0, clause( 1197, [ =( implies( implies( Y, not( X ) ), not( X ) ),
% 0.39/0.87 implies( or( X, Y ), Y ) ) ] )
% 0.39/0.87 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.39/0.87 :=( Y, not( falsehood ) )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1201, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.39/0.87 ), not( falsehood ) ) ] )
% 0.39/0.87 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.87 , 0, clause( 1200, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.39/0.87 X ) ), implies( truth, not( falsehood ) ) ) ] )
% 0.39/0.87 , 0, 9, substitution( 0, [ :=( X, not( falsehood ) )] ), substitution( 1, [
% 0.39/0.87 :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1202, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.39/0.87 falsehood ) ) ] )
% 0.39/0.87 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.87 , 0, clause( 1201, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.39/0.87 X ) ), not( falsehood ) ) ] )
% 0.39/0.87 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.39/0.87 substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.39/0.87 falsehood ) ) ] )
% 0.39/0.87 , clause( 1202, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.39/0.87 falsehood ) ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1204, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1205, [ =( xor( X, falsehood ), or( falsehood, and( X, truth ) ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.87 , 0, clause( 1204, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood
% 0.39/0.87 ) ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, and( X, truth ) ), :=( Y, falsehood )] )
% 0.39/0.87 , substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1208, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 1205, [ =( xor( X, falsehood ), or( falsehood, and( X, truth ) )
% 0.39/0.87 ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 1208, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood )
% 0.39/0.87 ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1209, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 158, [ =( or( and( X, truth ), falsehood ), xor( X, falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1210, [ =( xor( X, falsehood ), or( and( truth, X ), falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.39/0.87 , 0, clause( 1209, [ =( xor( X, falsehood ), or( and( X, truth ), falsehood
% 0.39/0.87 ) ) ] )
% 0.39/0.87 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.39/0.87 , [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1213, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 1210, [ =( xor( X, falsehood ), or( and( truth, X ), falsehood )
% 0.39/0.87 ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 1213, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood )
% 0.39/0.87 ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1215, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X ) ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 53, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.39/0.87 )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1217, [ =( truth, implies( truth, implies( X, not( falsehood ) ) )
% 0.39/0.87 ) ] )
% 0.39/0.87 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.39/0.87 , 0, clause( 1215, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X )
% 0.39/0.87 ) ) ] )
% 0.39/0.87 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.39/0.87 not( falsehood ) ), :=( Y, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1218, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.39/0.87 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.87 , 0, clause( 1217, [ =( truth, implies( truth, implies( X, not( falsehood )
% 0.39/0.87 ) ) ) ] )
% 0.39/0.87 , 0, 2, substitution( 0, [ :=( X, implies( X, not( falsehood ) ) )] ),
% 0.39/0.87 substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1219, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.39/0.87 , clause( 1218, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.39/0.87 , clause( 1219, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1220, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.39/0.87 , clause( 805, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1225, [ =( truth, implies( implies( not( falsehood ), not( X ) ),
% 0.39/0.87 not( X ) ) ) ] )
% 0.39/0.87 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.39/0.87 ), not( X ) ) ) ] )
% 0.39/0.87 , 0, clause( 1220, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.39/0.87 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( falsehood ) )] ),
% 0.39/0.87 substitution( 1, [ :=( X, or( X, not( falsehood ) ) )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1226, [ =( truth, implies( or( falsehood, not( X ) ), not( X ) ) )
% 0.39/0.87 ] )
% 0.39/0.87 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.87 , 0, clause( 1225, [ =( truth, implies( implies( not( falsehood ), not( X )
% 0.39/0.87 ), not( X ) ) ) ] )
% 0.39/0.87 , 0, 3, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.39/0.87 substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1227, [ =( truth, not( falsehood ) ) ] )
% 0.39/0.87 , clause( 300, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.39/0.87 falsehood ) ) ] )
% 0.39/0.87 , 0, clause( 1226, [ =( truth, implies( or( falsehood, not( X ) ), not( X )
% 0.39/0.87 ) ) ] )
% 0.39/0.87 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1228, [ =( not( falsehood ), truth ) ] )
% 0.39/0.87 , clause( 1227, [ =( truth, not( falsehood ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.39/0.87 , clause( 1228, [ =( not( falsehood ), truth ) ] )
% 0.39/0.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1230, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.39/0.87 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1232, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.39/0.87 , clause( 819, [ =( not( falsehood ), truth ) ] )
% 0.39/0.87 , 0, clause( 1230, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.39/0.87 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, falsehood ), :=( Y
% 0.39/0.87 , X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1233, [ =( or( falsehood, X ), X ) ] )
% 0.39/0.87 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.39/0.87 , 0, clause( 1232, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.39/0.87 , clause( 1233, [ =( or( falsehood, X ), X ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1236, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) ) ] )
% 0.39/0.87 , clause( 88, [ =( not( or( falsehood, not( X ) ) ), and( truth, X ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1237, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.39/0.87 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.39/0.87 , 0, clause( 1236, [ =( and( truth, X ), not( or( falsehood, not( X ) ) ) )
% 0.39/0.87 ] )
% 0.39/0.87 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.39/0.87 X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.39/0.87 , clause( 1237, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1239, [ =( X, or( falsehood, X ) ) ] )
% 0.39/0.87 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1241, [ =( and( X, truth ), xor( X, falsehood ) ) ] )
% 0.39/0.87 , clause( 320, [ =( or( falsehood, and( X, truth ) ), xor( X, falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , 0, clause( 1239, [ =( X, or( falsehood, X ) ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and( X
% 0.39/0.87 , truth ) )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1242, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.39/0.87 , clause( 1241, [ =( and( X, truth ), xor( X, falsehood ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.39/0.87 , clause( 1242, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1244, [ =( not( X ), implies( or( falsehood, X ), falsehood ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , clause( 142, [ =( implies( or( falsehood, X ), falsehood ), not( X ) ) ]
% 0.39/0.87 )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1245, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.39/0.87 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.39/0.87 , 0, clause( 1244, [ =( not( X ), implies( or( falsehood, X ), falsehood )
% 0.39/0.87 ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1246, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.39/0.87 , clause( 1245, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.39/0.87 , clause( 1246, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1247, [ =( X, or( falsehood, X ) ) ] )
% 0.39/0.87 , clause( 821, [ =( or( falsehood, X ), X ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1248, [ =( X, or( X, falsehood ) ) ] )
% 0.39/0.87 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.39/0.87 , 0, clause( 1247, [ =( X, or( falsehood, X ) ) ] )
% 0.39/0.87 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 0.39/0.87 substitution( 1, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1251, [ =( or( X, falsehood ), X ) ] )
% 0.39/0.87 , clause( 1248, [ =( X, or( X, falsehood ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.39/0.87 , clause( 1251, [ =( or( X, falsehood ), X ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1252, [ =( X, or( X, falsehood ) ) ] )
% 0.39/0.87 , clause( 834, [ =( or( X, falsehood ), X ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1256, [ =( and( truth, X ), xor( X, falsehood ) ) ] )
% 0.39/0.87 , clause( 321, [ =( or( and( truth, X ), falsehood ), xor( X, falsehood ) )
% 0.39/0.87 ] )
% 0.39/0.87 , 0, clause( 1252, [ =( X, or( X, falsehood ) ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and(
% 0.39/0.87 truth, X ) )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1257, [ =( not( not( X ) ), xor( X, falsehood ) ) ] )
% 0.39/0.87 , clause( 825, [ =( and( truth, X ), not( not( X ) ) ) ] )
% 0.39/0.87 , 0, clause( 1256, [ =( and( truth, X ), xor( X, falsehood ) ) ] )
% 0.39/0.87 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1258, [ =( not( not( X ) ), and( X, truth ) ) ] )
% 0.39/0.87 , clause( 830, [ =( xor( X, falsehood ), and( X, truth ) ) ] )
% 0.39/0.87 , 0, clause( 1257, [ =( not( not( X ) ), xor( X, falsehood ) ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1259, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.39/0.87 , clause( 1258, [ =( not( not( X ) ), and( X, truth ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.39/0.87 , clause( 1259, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1260, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.39/0.87 , clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1263, [ =( not( implies( X, falsehood ) ), X ) ] )
% 0.39/0.87 , clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.39/0.87 , 0, clause( 1260, [ =( not( X ), implies( X, falsehood ) ) ] )
% 0.39/0.87 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.39/0.87 X, falsehood ) )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1264, [ =( not( not( X ) ), X ) ] )
% 0.39/0.87 , clause( 831, [ =( implies( X, falsehood ), not( X ) ) ] )
% 0.39/0.87 , 0, clause( 1263, [ =( not( implies( X, falsehood ) ), X ) ] )
% 0.39/0.87 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.39/0.87 , clause( 1264, [ =( not( not( X ) ), X ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 paramod(
% 0.39/0.87 clause( 1268, [ =( and( X, truth ), X ) ] )
% 0.39/0.87 , clause( 854, [ =( not( not( X ) ), X ) ] )
% 0.39/0.87 , 0, clause( 835, [ =( and( X, truth ), not( not( X ) ) ) ] )
% 0.39/0.87 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.39/0.87 ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 877, [ =( and( X, truth ), X ) ] )
% 0.39/0.87 , clause( 1268, [ =( and( X, truth ), X ) ] )
% 0.39/0.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1270, [ =( X, and( X, truth ) ) ] )
% 0.39/0.87 , clause( 877, [ =( and( X, truth ), X ) ] )
% 0.39/0.87 , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 eqswap(
% 0.39/0.87 clause( 1271, [ ~( =( x, and( x, truth ) ) ) ] )
% 0.39/0.87 , clause( 14, [ ~( =( and( x, truth ), x ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 resolution(
% 0.39/0.87 clause( 1272, [] )
% 0.39/0.87 , clause( 1271, [ ~( =( x, and( x, truth ) ) ) ] )
% 0.39/0.87 , 0, clause( 1270, [ =( X, and( X, truth ) ) ] )
% 0.39/0.87 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 subsumption(
% 0.39/0.87 clause( 879, [] )
% 0.39/0.87 , clause( 1272, [] )
% 0.39/0.87 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 end.
% 0.39/0.87
% 0.39/0.87 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/0.87
% 0.39/0.87 Memory use:
% 0.39/0.87
% 0.39/0.87 space for terms: 10353
% 0.39/0.87 space for clauses: 94687
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 clauses generated: 7746
% 0.39/0.87 clauses kept: 880
% 0.39/0.87 clauses selected: 161
% 0.39/0.87 clauses deleted: 46
% 0.39/0.87 clauses inuse deleted: 0
% 0.39/0.87
% 0.39/0.87 subsentry: 2243
% 0.39/0.87 literals s-matched: 623
% 0.39/0.87 literals matched: 623
% 0.39/0.87 full subsumption: 0
% 0.39/0.87
% 0.39/0.87 checksum: -877357422
% 0.39/0.87
% 0.39/0.87
% 0.39/0.87 Bliksem ended
%------------------------------------------------------------------------------