TSTP Solution File: LCL155-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL155-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 07:50:59 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL155-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 23:13:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13 [
% 0.72/1.13 [ =( implies( truth, X ), X ) ],
% 0.72/1.13 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.72/1.13 ) ), truth ) ],
% 0.72/1.13 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.72/1.13 ],
% 0.72/1.13 [ =( or( X, Y ), implies( not( X ), Y ) ) ],
% 0.72/1.13 [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ],
% 0.72/1.13 [ =( or( X, Y ), or( Y, X ) ) ],
% 0.72/1.13 [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.72/1.13 [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ],
% 0.72/1.13 [ =( and( X, Y ), and( Y, X ) ) ],
% 0.72/1.13 [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y ) ) ) ],
% 0.72/1.13 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 0.72/1.13 [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.72/1.13 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 0.72/1.13 Z ) ) ) ],
% 0.72/1.13 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 0.72/1.13 [ =( not( truth ), falsehood ) ],
% 0.72/1.13 [ ~( =( xor( x, x ), falsehood ) ) ]
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.13 This is a pure equality problem
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 1
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.13 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.13 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.13 or [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.13 and [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.13 xor [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.13 'and_star' [48, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.13 falsehood [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.13 x [50, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.72/1.13 X, Z ) ) ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.72/1.13 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.72/1.13 truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.72/1.13 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 14, [ ~( =( xor( x, x ), falsehood ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 23, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 24, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.72/1.13 , not( X ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.72/1.13 )
% 0.72/1.13 .
% 0.72/1.13 clause( 51, [ =( implies( X, X ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 52, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 53, [ =( or( X, not( X ) ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 55, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.72/1.13 )
% 0.72/1.13 .
% 0.72/1.13 clause( 56, [ =( or( not( X ), X ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 57, [ =( implies( X, truth ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 58, [ =( implies( falsehood, X ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 65, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 85, [ =( and( not( X ), X ), falsehood ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 87, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 101, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 114, [ =( or( falsehood, falsehood ), xor( X, X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 128, [ ~( =( or( falsehood, falsehood ), falsehood ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 144, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 153, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 156, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 303, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.72/1.13 falsehood ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 845, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 859, [ =( not( falsehood ), truth ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 861, [ =( or( falsehood, X ), X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 862, [] )
% 0.72/1.13 .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 initialclauses(
% 0.72/1.13 [ clause( 864, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , clause( 865, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.72/1.13 implies( X, Z ) ) ), truth ) ] )
% 0.72/1.13 , clause( 866, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.72/1.13 , X ) ) ] )
% 0.72/1.13 , clause( 867, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.72/1.13 ), truth ) ] )
% 0.72/1.13 , clause( 868, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.72/1.13 , clause( 869, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 0.72/1.13 , clause( 870, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.72/1.13 , clause( 871, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.72/1.13 , clause( 872, [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ] )
% 0.72/1.13 , clause( 873, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.72/1.13 , clause( 874, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , clause( 875, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.72/1.13 , clause( 876, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 877, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 0.72/1.13 'and_star'( Y, Z ) ) ) ] )
% 0.72/1.13 , clause( 878, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.72/1.13 , clause( 879, [ =( not( truth ), falsehood ) ] )
% 0.72/1.13 , clause( 880, [ ~( =( xor( x, x ), falsehood ) ) ] )
% 0.72/1.13 ] ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , clause( 864, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.72/1.13 X, Z ) ) ), truth ) ] )
% 0.72/1.13 , clause( 865, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.72/1.13 implies( X, Z ) ) ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , clause( 866, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.72/1.13 , X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.72/1.13 truth ) ] )
% 0.72/1.13 , clause( 867, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.72/1.13 ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 892, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , clause( 868, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , clause( 892, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.72/1.13 , clause( 870, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 903, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.72/1.13 , clause( 871, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.72/1.13 , clause( 903, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 911, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 874, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y )
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 911, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.72/1.13 , clause( 879, [ =( not( truth ), falsehood ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 14, [ ~( =( xor( x, x ), falsehood ) ) ] )
% 0.72/1.13 , clause( 880, [ ~( =( xor( x, x ), falsehood ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 936, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.72/1.13 , implies( X, Z ) ) ) ) ] )
% 0.72/1.13 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.72/1.13 implies( X, Z ) ) ), truth ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 940, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.72/1.13 , Y ), Y ) ) ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 936, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.72/1.13 , Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.72/1.13 ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 942, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 940, [ =( truth, implies( implies( truth, X ), implies(
% 0.72/1.13 implies( X, Y ), Y ) ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 943, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.72/1.13 , clause( 942, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.72/1.13 , clause( 943, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 945, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 946, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.72/1.13 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.72/1.13 , 0, clause( 945, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.72/1.13 )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 23, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.72/1.13 , clause( 946, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 948, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.72/1.13 , clause( 23, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 949, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.72/1.13 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 948, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 0.72/1.13 , [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 952, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.72/1.13 , clause( 949, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 24, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.72/1.13 , clause( 952, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 954, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.72/1.13 , not( X ) ) ) ] )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, not( X ) ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X ) )
% 0.72/1.13 , not( X ) ) ) ] )
% 0.72/1.13 , clause( 954, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.72/1.13 ), not( X ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 957, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.72/1.13 , :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 957, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.72/1.13 ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 959, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.72/1.13 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 963, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 959, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.72/1.13 , :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 965, [ =( truth, implies( X, X ) ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 963, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.72/1.13 :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 966, [ =( implies( X, X ), truth ) ] )
% 0.72/1.13 , clause( 965, [ =( truth, implies( X, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 51, [ =( implies( X, X ), truth ) ] )
% 0.72/1.13 , clause( 966, [ =( implies( X, X ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 967, [ =( truth, implies( X, X ) ) ] )
% 0.72/1.13 , clause( 51, [ =( implies( X, X ), truth ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 969, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.72/1.13 , clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 967, [ =( truth, implies( X, X ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 970, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.72/1.13 , clause( 969, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 52, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.72/1.13 , clause( 970, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 971, [ =( truth, implies( X, X ) ) ] )
% 0.72/1.13 , clause( 51, [ =( implies( X, X ), truth ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 973, [ =( truth, or( X, not( X ) ) ) ] )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 971, [ =( truth, implies( X, X ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.72/1.13 1, [ :=( X, not( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 974, [ =( or( X, not( X ) ), truth ) ] )
% 0.72/1.13 , clause( 973, [ =( truth, or( X, not( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 53, [ =( or( X, not( X ) ), truth ) ] )
% 0.72/1.13 , clause( 974, [ =( or( X, not( X ) ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 977, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 0.72/1.13 ) ), truth ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 0.72/1.13 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 55, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 977, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth )
% 0.72/1.13 ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 979, [ =( truth, or( X, not( X ) ) ) ] )
% 0.72/1.13 , clause( 53, [ =( or( X, not( X ) ), truth ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 980, [ =( truth, or( not( X ), X ) ) ] )
% 0.72/1.13 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 979, [ =( truth, or( X, not( X ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.72/1.13 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 983, [ =( or( not( X ), X ), truth ) ] )
% 0.72/1.13 , clause( 980, [ =( truth, or( not( X ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 56, [ =( or( not( X ), X ), truth ) ] )
% 0.72/1.13 , clause( 983, [ =( or( not( X ), X ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 985, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.72/1.13 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 986, [ =( truth, implies( X, truth ) ) ] )
% 0.72/1.13 , clause( 52, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.72/1.13 , 0, clause( 985, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, truth )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 988, [ =( implies( X, truth ), truth ) ] )
% 0.72/1.13 , clause( 986, [ =( truth, implies( X, truth ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 57, [ =( implies( X, truth ), truth ) ] )
% 0.72/1.13 , clause( 988, [ =( implies( X, truth ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 990, [ =( truth, implies( X, truth ) ) ] )
% 0.72/1.13 , clause( 57, [ =( implies( X, truth ), truth ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 993, [ =( truth, or( X, truth ) ) ] )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 990, [ =( truth, implies( X, truth ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.72/1.13 , [ :=( X, not( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 994, [ =( truth, implies( falsehood, X ) ) ] )
% 0.72/1.13 , clause( 24, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.72/1.13 , 0, clause( 993, [ =( truth, or( X, truth ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 995, [ =( implies( falsehood, X ), truth ) ] )
% 0.72/1.13 , clause( 994, [ =( truth, implies( falsehood, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 58, [ =( implies( falsehood, X ), truth ) ] )
% 0.72/1.13 , clause( 995, [ =( implies( falsehood, X ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 999, [ =( implies( implies( X, falsehood ), falsehood ), implies(
% 0.72/1.13 truth, X ) ) ] )
% 0.72/1.13 , clause( 58, [ =( implies( falsehood, X ), truth ) ] )
% 0.72/1.13 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, falsehood )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1000, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 999, [ =( implies( implies( X, falsehood ), falsehood ),
% 0.72/1.13 implies( truth, X ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 65, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.72/1.13 , clause( 1000, [ =( implies( implies( X, falsehood ), falsehood ), X ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1003, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.72/1.13 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1006, [ =( and( not( X ), X ), not( truth ) ) ] )
% 0.72/1.13 , clause( 56, [ =( or( not( X ), X ), truth ) ] )
% 0.72/1.13 , 0, clause( 1003, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.72/1.13 not( X ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1007, [ =( and( not( X ), X ), falsehood ) ] )
% 0.72/1.13 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.72/1.13 , 0, clause( 1006, [ =( and( not( X ), X ), not( truth ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 85, [ =( and( not( X ), X ), falsehood ) ] )
% 0.72/1.13 , clause( 1007, [ =( and( not( X ), X ), falsehood ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1010, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.72/1.13 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1013, [ =( and( X, not( X ) ), not( truth ) ) ] )
% 0.72/1.13 , clause( 53, [ =( or( X, not( X ) ), truth ) ] )
% 0.72/1.13 , 0, clause( 1010, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.72/1.13 X ), :=( Y, not( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1014, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.72/1.13 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.72/1.13 , 0, clause( 1013, [ =( and( X, not( X ) ), not( truth ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 87, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.72/1.13 , clause( 1014, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1017, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ] )
% 0.72/1.13 , clause( 65, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1018, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 1017, [ =( X, implies( implies( X, falsehood ), falsehood ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.72/1.13 substitution( 1, [ :=( X, not( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1019, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 1018, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 101, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.72/1.13 , clause( 1019, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1021, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , clause( 10, [ =( or( and( X, not( Y ) ), and( not( X ), Y ) ), xor( X, Y
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1023, [ =( xor( X, X ), or( falsehood, and( not( X ), X ) ) ) ] )
% 0.72/1.13 , clause( 87, [ =( and( X, not( X ) ), falsehood ) ] )
% 0.72/1.13 , 0, clause( 1021, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X )
% 0.72/1.13 , Y ) ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1025, [ =( xor( X, X ), or( falsehood, falsehood ) ) ] )
% 0.72/1.13 , clause( 85, [ =( and( not( X ), X ), falsehood ) ] )
% 0.72/1.13 , 0, clause( 1023, [ =( xor( X, X ), or( falsehood, and( not( X ), X ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1026, [ =( or( falsehood, falsehood ), xor( X, X ) ) ] )
% 0.72/1.13 , clause( 1025, [ =( xor( X, X ), or( falsehood, falsehood ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 114, [ =( or( falsehood, falsehood ), xor( X, X ) ) ] )
% 0.72/1.13 , clause( 1026, [ =( or( falsehood, falsehood ), xor( X, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1027, [ =( xor( X, X ), or( falsehood, falsehood ) ) ] )
% 0.72/1.13 , clause( 114, [ =( or( falsehood, falsehood ), xor( X, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1028, [ ~( =( falsehood, xor( x, x ) ) ) ] )
% 0.72/1.13 , clause( 14, [ ~( =( xor( x, x ), falsehood ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1029, [ ~( =( falsehood, or( falsehood, falsehood ) ) ) ] )
% 0.72/1.13 , clause( 1027, [ =( xor( X, X ), or( falsehood, falsehood ) ) ] )
% 0.72/1.13 , 0, clause( 1028, [ ~( =( falsehood, xor( x, x ) ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, x )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1030, [ ~( =( or( falsehood, falsehood ), falsehood ) ) ] )
% 0.72/1.13 , clause( 1029, [ ~( =( falsehood, or( falsehood, falsehood ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 128, [ ~( =( or( falsehood, falsehood ), falsehood ) ) ] )
% 0.72/1.13 , clause( 1030, [ ~( =( or( falsehood, falsehood ), falsehood ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1032, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 101, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1034, [ =( not( not( falsehood ) ), implies( truth, falsehood ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 56, [ =( or( not( X ), X ), truth ) ] )
% 0.72/1.13 , 0, clause( 1032, [ =( not( X ), implies( or( X, falsehood ), falsehood )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [ :=( X
% 0.72/1.13 , not( falsehood ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1035, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 1034, [ =( not( not( falsehood ) ), implies( truth, falsehood
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 144, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.72/1.13 , clause( 1035, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1038, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1040, [ =( or( not( falsehood ), X ), implies( falsehood, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 144, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.72/1.13 , 0, clause( 1038, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, not( falsehood ) )
% 0.72/1.13 , :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1041, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.72/1.13 , clause( 58, [ =( implies( falsehood, X ), truth ) ] )
% 0.72/1.13 , 0, clause( 1040, [ =( or( not( falsehood ), X ), implies( falsehood, X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 153, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.72/1.13 , clause( 1041, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1043, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.72/1.13 , clause( 153, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1044, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.72/1.13 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 1043, [ =( truth, or( not( falsehood ), X ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, not( falsehood ) ), :=( Y, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1047, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 , clause( 1044, [ =( truth, or( X, not( falsehood ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 156, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 , clause( 1047, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1049, [ =( implies( implies( Y, not( X ) ), not( X ) ), implies( or(
% 0.72/1.13 X, Y ), Y ) ) ] )
% 0.72/1.13 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.72/1.13 ), not( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1052, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.72/1.13 ), implies( truth, not( falsehood ) ) ) ] )
% 0.72/1.13 , clause( 156, [ =( or( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 , 0, clause( 1049, [ =( implies( implies( Y, not( X ) ), not( X ) ),
% 0.72/1.13 implies( or( X, Y ), Y ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, not( falsehood ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1053, [ =( implies( implies( not( falsehood ), not( X ) ), not( X )
% 0.72/1.13 ), not( falsehood ) ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 1052, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.72/1.13 X ) ), implies( truth, not( falsehood ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, not( falsehood ) )] ), substitution( 1, [
% 0.72/1.13 :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1054, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.72/1.13 falsehood ) ) ] )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 1053, [ =( implies( implies( not( falsehood ), not( X ) ), not(
% 0.72/1.13 X ) ), not( falsehood ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 303, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.72/1.13 falsehood ) ) ] )
% 0.72/1.13 , clause( 1054, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.72/1.13 falsehood ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1057, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 55, [ =( implies( or( X, not( Y ) ), implies( Y, X ) ), truth ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1059, [ =( truth, implies( truth, implies( X, not( falsehood ) ) )
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 153, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.72/1.13 , 0, clause( 1057, [ =( truth, implies( or( X, not( Y ) ), implies( Y, X )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.72/1.13 not( falsehood ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1060, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 1059, [ =( truth, implies( truth, implies( X, not( falsehood )
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, implies( X, not( falsehood ) ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1061, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 , clause( 1060, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 845, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 , clause( 1061, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1062, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.72/1.13 , clause( 845, [ =( implies( X, not( falsehood ) ), truth ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1067, [ =( truth, implies( implies( not( falsehood ), not( X ) ),
% 0.72/1.13 not( X ) ) ) ] )
% 0.72/1.13 , clause( 26, [ =( implies( or( X, Y ), Y ), implies( implies( Y, not( X )
% 0.72/1.13 ), not( X ) ) ) ] )
% 0.72/1.13 , 0, clause( 1062, [ =( truth, implies( X, not( falsehood ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( falsehood ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, or( X, not( falsehood ) ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1068, [ =( truth, implies( or( falsehood, not( X ) ), not( X ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 1067, [ =( truth, implies( implies( not( falsehood ), not( X )
% 0.72/1.13 ), not( X ) ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, falsehood ), :=( Y, not( X ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1069, [ =( truth, not( falsehood ) ) ] )
% 0.72/1.13 , clause( 303, [ =( implies( or( falsehood, not( X ) ), not( X ) ), not(
% 0.72/1.13 falsehood ) ) ] )
% 0.72/1.13 , 0, clause( 1068, [ =( truth, implies( or( falsehood, not( X ) ), not( X )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1070, [ =( not( falsehood ), truth ) ] )
% 0.72/1.13 , clause( 1069, [ =( truth, not( falsehood ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 859, [ =( not( falsehood ), truth ) ] )
% 0.72/1.13 , clause( 1070, [ =( not( falsehood ), truth ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1072, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.72/1.13 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1074, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.72/1.13 , clause( 859, [ =( not( falsehood ), truth ) ] )
% 0.72/1.13 , 0, clause( 1072, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, falsehood ), :=( Y
% 0.72/1.13 , X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1075, [ =( or( falsehood, X ), X ) ] )
% 0.72/1.13 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.72/1.13 , 0, clause( 1074, [ =( or( falsehood, X ), implies( truth, X ) ) ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 861, [ =( or( falsehood, X ), X ) ] )
% 0.72/1.13 , clause( 1075, [ =( or( falsehood, X ), X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1077, [ =( X, or( falsehood, X ) ) ] )
% 0.72/1.13 , clause( 861, [ =( or( falsehood, X ), X ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1078, [ ~( =( falsehood, or( falsehood, falsehood ) ) ) ] )
% 0.72/1.13 , clause( 128, [ ~( =( or( falsehood, falsehood ), falsehood ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 1079, [] )
% 0.72/1.13 , clause( 1078, [ ~( =( falsehood, or( falsehood, falsehood ) ) ) ] )
% 0.72/1.13 , 0, clause( 1077, [ =( X, or( falsehood, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, falsehood )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 862, [] )
% 0.72/1.13 , clause( 1079, [] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 end.
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 10253
% 0.72/1.13 space for clauses: 93539
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 7161
% 0.72/1.13 clauses kept: 863
% 0.72/1.13 clauses selected: 154
% 0.72/1.13 clauses deleted: 40
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 861
% 0.72/1.13 literals s-matched: 482
% 0.72/1.13 literals matched: 482
% 0.72/1.13 full subsumption: 0
% 0.72/1.13
% 0.72/1.13 checksum: -1655764240
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------