TSTP Solution File: LCL109-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:50:27 EDT 2022
% Result : Unsatisfiable 0.78s 1.41s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sat Jul 2 23:14:23 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.78/1.41 *** allocated 10000 integers for termspace/termends
% 0.78/1.41 *** allocated 10000 integers for clauses
% 0.78/1.41 *** allocated 10000 integers for justifications
% 0.78/1.41 Bliksem 1.12
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 Automatic Strategy Selection
% 0.78/1.41
% 0.78/1.41 Clauses:
% 0.78/1.41 [
% 0.78/1.41 [ =( implies( truth, X ), X ) ],
% 0.78/1.41 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.78/1.41 ) ), truth ) ],
% 0.78/1.41 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.78/1.41 ,
% 0.78/1.41 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.78/1.41 ],
% 0.78/1.41 [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ), implies( b
% 0.78/1.41 , a ) ), truth ) ) ]
% 0.78/1.41 ] .
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 percentage equality = 1.000000, percentage horn = 1.000000
% 0.78/1.41 This is a pure equality problem
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 Options Used:
% 0.78/1.41
% 0.78/1.41 useres = 1
% 0.78/1.41 useparamod = 1
% 0.78/1.41 useeqrefl = 1
% 0.78/1.41 useeqfact = 1
% 0.78/1.41 usefactor = 1
% 0.78/1.41 usesimpsplitting = 0
% 0.78/1.41 usesimpdemod = 5
% 0.78/1.41 usesimpres = 3
% 0.78/1.41
% 0.78/1.41 resimpinuse = 1000
% 0.78/1.41 resimpclauses = 20000
% 0.78/1.41 substype = eqrewr
% 0.78/1.41 backwardsubs = 1
% 0.78/1.41 selectoldest = 5
% 0.78/1.41
% 0.78/1.41 litorderings [0] = split
% 0.78/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.41
% 0.78/1.41 termordering = kbo
% 0.78/1.41
% 0.78/1.41 litapriori = 0
% 0.78/1.41 termapriori = 1
% 0.78/1.41 litaposteriori = 0
% 0.78/1.41 termaposteriori = 0
% 0.78/1.41 demodaposteriori = 0
% 0.78/1.41 ordereqreflfact = 0
% 0.78/1.41
% 0.78/1.41 litselect = negord
% 0.78/1.41
% 0.78/1.41 maxweight = 15
% 0.78/1.41 maxdepth = 30000
% 0.78/1.41 maxlength = 115
% 0.78/1.41 maxnrvars = 195
% 0.78/1.41 excuselevel = 1
% 0.78/1.41 increasemaxweight = 1
% 0.78/1.41
% 0.78/1.41 maxselected = 10000000
% 0.78/1.41 maxnrclauses = 10000000
% 0.78/1.41
% 0.78/1.41 showgenerated = 0
% 0.78/1.41 showkept = 0
% 0.78/1.41 showselected = 0
% 0.78/1.41 showdeleted = 0
% 0.78/1.41 showresimp = 1
% 0.78/1.41 showstatus = 2000
% 0.78/1.41
% 0.78/1.41 prologoutput = 1
% 0.78/1.41 nrgoals = 5000000
% 0.78/1.41 totalproof = 1
% 0.78/1.41
% 0.78/1.41 Symbols occurring in the translation:
% 0.78/1.41
% 0.78/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.41 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.78/1.41 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.78/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.41 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.78/1.41 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.78/1.41 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.78/1.41 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.78/1.41 b [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 Starting Search:
% 0.78/1.41
% 0.78/1.41 Resimplifying inuse:
% 0.78/1.41 Done
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 Bliksems!, er is een bewijs:
% 0.78/1.41 % SZS status Unsatisfiable
% 0.78/1.41 % SZS output start Refutation
% 0.78/1.41
% 0.78/1.41 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.78/1.41 X, Z ) ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.78/1.41 ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.78/1.41 truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 4, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 0.78/1.41 implies( b, a ) ), truth ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.78/1.41 )
% 0.78/1.41 .
% 0.78/1.41 clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X ), not(
% 0.78/1.41 Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 .
% 0.78/1.41 clause( 20, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 0.78/1.41 ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 46, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.78/1.41 implies( X, Z ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 62, [ ~( =( implies( implies( implies( b, a ), implies( a, b ) ),
% 0.78/1.41 implies( a, b ) ), truth ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 63, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 72, [ =( implies( not( truth ), X ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 73, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 76, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.78/1.41 )
% 0.78/1.41 .
% 0.78/1.41 clause( 86, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 .
% 0.78/1.41 clause( 94, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 .
% 0.78/1.41 clause( 99, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 100, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 104, [ =( implies( implies( Y, not( X ) ), implies( X, not( Y ) ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 106, [ =( not( not( X ) ), X ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 108, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 153, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 167, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies( X
% 0.78/1.41 , Y ), not( X ) ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 568, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.78/1.41 implies( X, Y ) ) ), X ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 581, [ =( not( implies( X, not( Y ) ) ), not( implies( Y, not( X )
% 0.78/1.41 ) ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 601, [ =( implies( implies( Y, not( X ) ), Z ), implies( implies( X
% 0.78/1.41 , not( Y ) ), Z ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 633, [ =( implies( implies( X, not( implies( X, Y ) ) ), not(
% 0.78/1.41 implies( Y, X ) ) ), Y ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 840, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.78/1.41 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 841, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 0.78/1.41 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 924, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z
% 0.78/1.41 ) ) ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 1079, [ =( implies( implies( Y, Z ), implies( X, implies( implies(
% 0.78/1.41 X, Y ), Z ) ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 1168, [ =( implies( implies( implies( Y, X ), implies( X, Y ) ),
% 0.78/1.41 implies( X, Y ) ), truth ) ] )
% 0.78/1.41 .
% 0.78/1.41 clause( 1169, [] )
% 0.78/1.41 .
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 % SZS output end Refutation
% 0.78/1.41 found a proof!
% 0.78/1.41
% 0.78/1.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.41
% 0.78/1.41 initialclauses(
% 0.78/1.41 [ clause( 1171, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , clause( 1172, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , clause( 1173, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.78/1.41 ), X ) ) ] )
% 0.78/1.41 , clause( 1174, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 0.78/1.41 ) ), truth ) ] )
% 0.78/1.41 , clause( 1175, [ ~( =( implies( implies( implies( a, b ), implies( b, a )
% 0.78/1.41 ), implies( b, a ) ), truth ) ) ] )
% 0.78/1.41 ] ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , clause( 1171, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.78/1.41 X, Z ) ) ), truth ) ] )
% 0.78/1.41 , clause( 1172, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.78/1.41 ) ) ] )
% 0.78/1.41 , clause( 1173, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.78/1.41 ), X ) ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.41 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.78/1.41 truth ) ] )
% 0.78/1.41 , clause( 1174, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 0.78/1.41 ) ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.41 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 4, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 0.78/1.41 implies( b, a ) ), truth ) ) ] )
% 0.78/1.41 , clause( 1175, [ ~( =( implies( implies( implies( a, b ), implies( b, a )
% 0.78/1.41 ), implies( b, a ) ), truth ) ) ] )
% 0.78/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1189, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.78/1.41 ), X ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.78/1.41 , :=( Y, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 1189, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.78/1.41 ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1196, [ =( implies( implies( implies( X, Y ), implies( not( Y ),
% 0.78/1.41 not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( truth, implies( X
% 0.78/1.41 , Y ) ) ) ] )
% 0.78/1.41 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.78/1.41 ), X ) ) ] )
% 0.78/1.41 , 0, 17, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.41 :=( X, implies( X, Y ) ), :=( Y, implies( not( Y ), not( X ) ) )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1197, [ =( implies( implies( implies( X, Y ), implies( not( Y ),
% 0.78/1.41 not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( X, Y ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1196, [ =( implies( implies( implies( X, Y ), implies( not( Y
% 0.78/1.41 ), not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( truth,
% 0.78/1.41 implies( X, Y ) ) ) ] )
% 0.78/1.41 , 0, 16, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 0.78/1.41 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X ), not(
% 0.78/1.41 Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.78/1.41 , clause( 1197, [ =( implies( implies( implies( X, Y ), implies( not( Y ),
% 0.78/1.41 not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( X, Y ) ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.41 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1200, [ =( truth, implies( implies( not( X ), not( Y ) ), implies(
% 0.78/1.41 Y, X ) ) ) ] )
% 0.78/1.41 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1201, [ =( truth, implies( implies( not( X ), not( truth ) ), X ) )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1200, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.78/1.41 implies( Y, X ) ) ) ] )
% 0.78/1.41 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.41 :=( Y, truth )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1202, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 1201, [ =( truth, implies( implies( not( X ), not( truth ) ), X )
% 0.78/1.41 ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 1202, [ =( implies( implies( not( X ), not( truth ) ), X ), truth
% 0.78/1.41 ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1203, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.78/1.41 ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1207, [ =( truth, implies( truth, implies( implies( implies(
% 0.78/1.41 implies( Y, Z ), implies( X, Z ) ), T ), implies( implies( X, Y ), T ) )
% 0.78/1.41 ) ) ] )
% 0.78/1.41 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , 0, clause( 1203, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.41 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.41 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies( Y,
% 0.78/1.41 Z ), implies( X, Z ) ) ), :=( Z, T )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1213, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.78/1.41 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1207, [ =( truth, implies( truth, implies( implies( implies(
% 0.78/1.41 implies( Y, Z ), implies( X, Z ) ), T ), implies( implies( X, Y ), T ) )
% 0.78/1.41 ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y
% 0.78/1.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) )] ),
% 0.78/1.41 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1214, [ =( implies( implies( implies( implies( X, Y ), implies( Z,
% 0.78/1.41 Y ) ), T ), implies( implies( Z, X ), T ) ), truth ) ] )
% 0.78/1.41 , clause( 1213, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.78/1.41 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.78/1.41 ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 20, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 0.78/1.41 ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.78/1.41 , clause( 1214, [ =( implies( implies( implies( implies( X, Y ), implies( Z
% 0.78/1.41 , Y ) ), T ), implies( implies( Z, X ), T ) ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 0.78/1.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1216, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.78/1.41 ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1220, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.78/1.41 , Y ), Y ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1216, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.41 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.78/1.41 ), :=( Y, X ), :=( Z, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1222, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1220, [ =( truth, implies( implies( truth, X ), implies(
% 0.78/1.41 implies( X, Y ), Y ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.41 :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1223, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 1222, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.78/1.41 )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.78/1.41 , clause( 1223, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.41 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1225, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.78/1.41 ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1230, [ =( truth, implies( truth, implies( implies( implies(
% 0.78/1.41 implies( X, Y ), Y ), Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 , 0, clause( 1225, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.41 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.41 :=( X, X ), :=( Y, implies( implies( X, Y ), Y ) ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1236, [ =( truth, implies( implies( implies( implies( X, Y ), Y ),
% 0.78/1.41 Z ), implies( X, Z ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1230, [ =( truth, implies( truth, implies( implies( implies(
% 0.78/1.41 implies( X, Y ), Y ), Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y
% 0.78/1.41 ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 0.78/1.41 Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1237, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.78/1.41 implies( X, Z ) ), truth ) ] )
% 0.78/1.41 , clause( 1236, [ =( truth, implies( implies( implies( implies( X, Y ), Y )
% 0.78/1.41 , Z ), implies( X, Z ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 46, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.78/1.41 implies( X, Z ) ), truth ) ] )
% 0.78/1.41 , clause( 1237, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.78/1.41 implies( X, Z ) ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1238, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1242, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1238, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 0.78/1.41 ) ] )
% 0.78/1.41 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.78/1.41 , :=( Y, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1244, [ =( truth, implies( X, X ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1242, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.78/1.41 :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1245, [ =( implies( X, X ), truth ) ] )
% 0.78/1.41 , clause( 1244, [ =( truth, implies( X, X ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.78/1.41 , clause( 1245, [ =( implies( X, X ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1246, [ =( truth, implies( X, X ) ) ] )
% 0.78/1.41 , clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1248, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.78/1.41 , clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.78/1.41 ] )
% 0.78/1.41 , 0, clause( 1246, [ =( truth, implies( X, X ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.41 ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1249, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.78/1.41 , clause( 1248, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.78/1.41 , clause( 1249, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1251, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1252, [ =( truth, implies( X, truth ) ) ] )
% 0.78/1.41 , clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.78/1.41 , 0, clause( 1251, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 0.78/1.41 ) ] )
% 0.78/1.41 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.41 :=( Y, truth )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1254, [ =( implies( X, truth ), truth ) ] )
% 0.78/1.41 , clause( 1252, [ =( truth, implies( X, truth ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.78/1.41 , clause( 1254, [ =( implies( X, truth ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1257, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.78/1.41 ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1260, [ =( truth, implies( truth, implies( implies( truth, Y ),
% 0.78/1.41 implies( X, Y ) ) ) ) ] )
% 0.78/1.41 , clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.78/1.41 , 0, clause( 1257, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.41 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.41 :=( Y, truth ), :=( Z, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1269, [ =( truth, implies( truth, implies( X, implies( Y, X ) ) ) )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1260, [ =( truth, implies( truth, implies( implies( truth, Y )
% 0.78/1.41 , implies( X, Y ) ) ) ) ] )
% 0.78/1.41 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.78/1.41 :=( Y, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1271, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1269, [ =( truth, implies( truth, implies( X, implies( Y, X )
% 0.78/1.41 ) ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) )] ),
% 0.78/1.41 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1272, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.78/1.41 , clause( 1271, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.78/1.41 , clause( 1272, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.41 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1273, [ ~( =( truth, implies( implies( implies( a, b ), implies( b
% 0.78/1.41 , a ) ), implies( b, a ) ) ) ) ] )
% 0.78/1.41 , clause( 4, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 0.78/1.41 implies( b, a ) ), truth ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1274, [ ~( =( truth, implies( implies( implies( b, a ), implies( a
% 0.78/1.41 , b ) ), implies( a, b ) ) ) ) ] )
% 0.78/1.41 , clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 0.78/1.41 X ) ) ] )
% 0.78/1.41 , 0, clause( 1273, [ ~( =( truth, implies( implies( implies( a, b ),
% 0.78/1.41 implies( b, a ) ), implies( b, a ) ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, implies( a, b ) ), :=( Y, implies( b, a )
% 0.78/1.41 )] ), substitution( 1, [] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1277, [ ~( =( implies( implies( implies( b, a ), implies( a, b ) )
% 0.78/1.41 , implies( a, b ) ), truth ) ) ] )
% 0.78/1.41 , clause( 1274, [ ~( =( truth, implies( implies( implies( b, a ), implies(
% 0.78/1.41 a, b ) ), implies( a, b ) ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 62, [ ~( =( implies( implies( implies( b, a ), implies( a, b ) ),
% 0.78/1.41 implies( a, b ) ), truth ) ) ] )
% 0.78/1.41 , clause( 1277, [ ~( =( implies( implies( implies( b, a ), implies( a, b )
% 0.78/1.41 ), implies( a, b ) ), truth ) ) ] )
% 0.78/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1279, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.78/1.41 ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1284, [ =( truth, implies( truth, implies( implies( implies( Y, X )
% 0.78/1.41 , Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.78/1.41 , 0, clause( 1279, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.41 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.41 :=( X, X ), :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1289, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.78/1.41 Y, Z ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1284, [ =( truth, implies( truth, implies( implies( implies( Y
% 0.78/1.41 , X ), Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.78/1.41 implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z
% 0.78/1.41 , Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1290, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z )
% 0.78/1.41 ), truth ) ] )
% 0.78/1.41 , clause( 1289, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.78/1.41 Y, Z ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 63, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 , clause( 1290, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z
% 0.78/1.41 ) ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.78/1.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1292, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.78/1.41 Y, Z ) ) ) ] )
% 0.78/1.41 , clause( 63, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.78/1.41 ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1294, [ =( truth, implies( truth, implies( not( truth ), X ) ) ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.78/1.41 ] )
% 0.78/1.41 , 0, clause( 1292, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.78/1.41 implies( Y, Z ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.78/1.41 ) ), :=( Y, not( truth ) ), :=( Z, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1299, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1294, [ =( truth, implies( truth, implies( not( truth ), X ) )
% 0.78/1.41 ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, implies( not( truth ), X ) )] ),
% 0.78/1.41 substitution( 1, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1300, [ =( implies( not( truth ), X ), truth ) ] )
% 0.78/1.41 , clause( 1299, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 72, [ =( implies( not( truth ), X ), truth ) ] )
% 0.78/1.41 , clause( 1300, [ =( implies( not( truth ), X ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1302, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.78/1.41 Y, Z ) ) ) ] )
% 0.78/1.41 , clause( 63, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.78/1.41 ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1305, [ =( truth, implies( truth, implies( not( Y ), implies( Y, X
% 0.78/1.41 ) ) ) ) ] )
% 0.78/1.41 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 , 0, clause( 1302, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.78/1.41 implies( Y, Z ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.41 :=( X, not( X ) ), :=( Y, not( Y ) ), :=( Z, implies( Y, X ) )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1310, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1305, [ =( truth, implies( truth, implies( not( Y ), implies(
% 0.78/1.41 Y, X ) ) ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) )] )
% 0.78/1.41 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1311, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.78/1.41 , clause( 1310, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 73, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.78/1.41 , clause( 1311, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.41 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1315, [ =( implies( implies( X, not( truth ) ), not( truth ) ),
% 0.78/1.41 implies( truth, X ) ) ] )
% 0.78/1.41 , clause( 72, [ =( implies( not( truth ), X ), truth ) ] )
% 0.78/1.41 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.78/1.41 ), X ) ) ] )
% 0.78/1.41 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.41 :=( Y, not( truth ) )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1316, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1315, [ =( implies( implies( X, not( truth ) ), not( truth ) )
% 0.78/1.41 , implies( truth, X ) ) ] )
% 0.78/1.41 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.41 ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 76, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 1316, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X
% 0.78/1.41 ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1319, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.78/1.41 , clause( 73, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1320, [ =( truth, implies( not( implies( X, not( truth ) ) ), X ) )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 76, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.78/1.41 ] )
% 0.78/1.41 , 0, clause( 1319, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.78/1.41 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.78/1.41 X, not( truth ) ) ), :=( Y, not( truth ) )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1321, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 1320, [ =( truth, implies( not( implies( X, not( truth ) ) ), X )
% 0.78/1.41 ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 86, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 1321, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth
% 0.78/1.41 ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1323, [ =( truth, implies( implies( not( X ), not( Y ) ), implies(
% 0.78/1.41 Y, X ) ) ) ] )
% 0.78/1.41 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1325, [ =( truth, implies( truth, implies( X, implies( not( X ),
% 0.78/1.41 not( truth ) ) ) ) ) ] )
% 0.78/1.41 , clause( 86, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.78/1.41 ] )
% 0.78/1.41 , 0, clause( 1323, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.78/1.41 implies( Y, X ) ) ) ] )
% 0.78/1.41 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.78/1.41 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1327, [ =( truth, implies( X, implies( not( X ), not( truth ) ) ) )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1325, [ =( truth, implies( truth, implies( X, implies( not( X
% 0.78/1.41 ), not( truth ) ) ) ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( not( X ), not( truth
% 0.78/1.41 ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1328, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 1327, [ =( truth, implies( X, implies( not( X ), not( truth ) ) )
% 0.78/1.41 ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 94, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.78/1.41 )
% 0.78/1.41 , clause( 1328, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth
% 0.78/1.41 ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1334, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.78/1.41 , X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.78/1.41 , clause( 94, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.78/1.41 ] )
% 0.78/1.41 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.78/1.41 ), X ) ) ] )
% 0.78/1.41 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.78/1.41 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1335, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.78/1.41 , X ), implies( not( X ), not( truth ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1334, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.78/1.41 , X ), X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.78/1.41 , 0, 10, substitution( 0, [ :=( X, implies( not( X ), not( truth ) ) )] ),
% 0.78/1.41 substitution( 1, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1336, [ =( implies( truth, X ), implies( not( X ), not( truth ) ) )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.78/1.41 ] )
% 0.78/1.41 , 0, clause( 1335, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.78/1.41 , X ), X ), implies( not( X ), not( truth ) ) ) ] )
% 0.78/1.41 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.41 ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1337, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.78/1.41 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.41 , 0, clause( 1336, [ =( implies( truth, X ), implies( not( X ), not( truth
% 0.78/1.41 ) ) ) ] )
% 0.78/1.41 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.41 ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1338, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.78/1.41 , clause( 1337, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 99, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.78/1.41 , clause( 1338, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1340, [ =( X, implies( implies( X, not( truth ) ), not( truth ) ) )
% 0.78/1.41 ] )
% 0.78/1.41 , clause( 76, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.78/1.41 ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1341, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.78/1.41 , clause( 99, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.78/1.41 , 0, clause( 1340, [ =( X, implies( implies( X, not( truth ) ), not( truth
% 0.78/1.41 ) ) ) ] )
% 0.78/1.41 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.78/1.41 ) )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1342, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.78/1.41 , clause( 1341, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 100, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.78/1.41 , clause( 1342, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1344, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.78/1.41 ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1347, [ =( truth, implies( implies( X, not( Y ) ), implies( Y,
% 0.78/1.41 implies( X, not( truth ) ) ) ) ) ] )
% 0.78/1.41 , clause( 99, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.78/1.41 , 0, clause( 1344, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.41 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.41 :=( Y, not( Y ) ), :=( Z, not( truth ) )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1351, [ =( truth, implies( implies( X, not( Y ) ), implies( Y, not(
% 0.78/1.41 X ) ) ) ) ] )
% 0.78/1.41 , clause( 100, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.78/1.41 , 0, clause( 1347, [ =( truth, implies( implies( X, not( Y ) ), implies( Y
% 0.78/1.41 , implies( X, not( truth ) ) ) ) ) ] )
% 0.78/1.41 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.41 :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1352, [ =( implies( implies( X, not( Y ) ), implies( Y, not( X ) )
% 0.78/1.41 ), truth ) ] )
% 0.78/1.41 , clause( 1351, [ =( truth, implies( implies( X, not( Y ) ), implies( Y,
% 0.78/1.41 not( X ) ) ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 104, [ =( implies( implies( Y, not( X ) ), implies( X, not( Y ) ) )
% 0.78/1.41 , truth ) ] )
% 0.78/1.41 , clause( 1352, [ =( implies( implies( X, not( Y ) ), implies( Y, not( X )
% 0.78/1.41 ) ), truth ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.41 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1353, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.78/1.41 , clause( 100, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1355, [ =( not( not( X ) ), X ) ] )
% 0.78/1.41 , clause( 99, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.78/1.41 , 0, clause( 1353, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.78/1.41 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.78/1.41 ) )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 subsumption(
% 0.78/1.41 clause( 106, [ =( not( not( X ) ), X ) ] )
% 0.78/1.41 , clause( 1355, [ =( not( not( X ) ), X ) ] )
% 0.78/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 eqswap(
% 0.78/1.41 clause( 1358, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.78/1.41 ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.78/1.41 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.41
% 0.78/1.41
% 0.78/1.41 paramod(
% 0.78/1.41 clause( 1362, [ =( truth, implies( implies( X, Y ), implies( implies( Y,
% 0.78/1.41 not( truth ) ), not( X ) ) ) ) ] )
% 0.78/1.41 , clause( 100, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.78/1.41 , 0, clause( 1358, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.41 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.78/1.41 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.41 :=( Y, Y ), :=( Z, not( truth ) )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1364, [ =( truth, implies( implies( X, Y ), implies( not( Y ), not(
% 0.78/1.42 X ) ) ) ) ] )
% 0.78/1.42 , clause( 100, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.78/1.42 , 0, clause( 1362, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.42 Y, not( truth ) ), not( X ) ) ) ) ] )
% 0.78/1.42 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.42 :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1365, [ =( implies( implies( X, Y ), implies( not( Y ), not( X ) )
% 0.78/1.42 ), truth ) ] )
% 0.78/1.42 , clause( 1364, [ =( truth, implies( implies( X, Y ), implies( not( Y ),
% 0.78/1.42 not( X ) ) ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 108, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) ) )
% 0.78/1.42 , truth ) ] )
% 0.78/1.42 , clause( 1365, [ =( implies( implies( X, Y ), implies( not( Y ), not( X )
% 0.78/1.42 ) ), truth ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.42 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1369, [ =( implies( truth, implies( not( Y ), not( X ) ) ), implies(
% 0.78/1.42 X, Y ) ) ] )
% 0.78/1.42 , clause( 108, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) )
% 0.78/1.42 ), truth ) ] )
% 0.78/1.42 , 0, clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X )
% 0.78/1.42 , not( Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.42 :=( X, Y ), :=( Y, X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1370, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.42 , 0, clause( 1369, [ =( implies( truth, implies( not( Y ), not( X ) ) ),
% 0.78/1.42 implies( X, Y ) ) ] )
% 0.78/1.42 , 0, 1, substitution( 0, [ :=( X, implies( not( X ), not( Y ) ) )] ),
% 0.78/1.42 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 153, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , clause( 1370, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.42 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1379, [ =( implies( implies( not( X ), not( Y ) ), not( Y ) ),
% 0.78/1.42 implies( implies( X, Y ), not( X ) ) ) ] )
% 0.78/1.42 , clause( 153, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.78/1.42 ), X ) ) ] )
% 0.78/1.42 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.42 :=( X, not( X ) ), :=( Y, not( Y ) )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1381, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies(
% 0.78/1.42 X, Y ), not( X ) ) ) ] )
% 0.78/1.42 , clause( 153, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , 0, clause( 1379, [ =( implies( implies( not( X ), not( Y ) ), not( Y ) )
% 0.78/1.42 , implies( implies( X, Y ), not( X ) ) ) ] )
% 0.78/1.42 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.42 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 167, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies( X
% 0.78/1.42 , Y ), not( X ) ) ) ] )
% 0.78/1.42 , clause( 1381, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies(
% 0.78/1.42 X, Y ), not( X ) ) ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.42 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1387, [ =( implies( implies( not( X ), implies( X, Y ) ), not( not(
% 0.78/1.42 X ) ) ), implies( implies( implies( Y, X ), not( Y ) ), not( implies( X,
% 0.78/1.42 Y ) ) ) ) ] )
% 0.78/1.42 , clause( 167, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies(
% 0.78/1.42 X, Y ), not( X ) ) ) ] )
% 0.78/1.42 , 0, clause( 167, [ =( implies( implies( Y, X ), not( Y ) ), implies(
% 0.78/1.42 implies( X, Y ), not( X ) ) ) ] )
% 0.78/1.42 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.42 :=( X, implies( X, Y ) ), :=( Y, not( X ) )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1394, [ =( implies( truth, not( not( X ) ) ), implies( implies(
% 0.78/1.42 implies( Y, X ), not( Y ) ), not( implies( X, Y ) ) ) ) ] )
% 0.78/1.42 , clause( 73, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.78/1.42 , 0, clause( 1387, [ =( implies( implies( not( X ), implies( X, Y ) ), not(
% 0.78/1.42 not( X ) ) ), implies( implies( implies( Y, X ), not( Y ) ), not( implies(
% 0.78/1.42 X, Y ) ) ) ) ] )
% 0.78/1.42 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.42 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1395, [ =( not( not( X ) ), implies( implies( implies( Y, X ), not(
% 0.78/1.42 Y ) ), not( implies( X, Y ) ) ) ) ] )
% 0.78/1.42 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.42 , 0, clause( 1394, [ =( implies( truth, not( not( X ) ) ), implies( implies(
% 0.78/1.42 implies( Y, X ), not( Y ) ), not( implies( X, Y ) ) ) ) ] )
% 0.78/1.42 , 0, 1, substitution( 0, [ :=( X, not( not( X ) ) )] ), substitution( 1, [
% 0.78/1.42 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1396, [ =( X, implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.78/1.42 implies( X, Y ) ) ) ) ] )
% 0.78/1.42 , clause( 106, [ =( not( not( X ) ), X ) ] )
% 0.78/1.42 , 0, clause( 1395, [ =( not( not( X ) ), implies( implies( implies( Y, X )
% 0.78/1.42 , not( Y ) ), not( implies( X, Y ) ) ) ) ] )
% 0.78/1.42 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.42 :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1397, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.78/1.42 implies( X, Y ) ) ), X ) ] )
% 0.78/1.42 , clause( 1396, [ =( X, implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.78/1.42 implies( X, Y ) ) ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 568, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.78/1.42 implies( X, Y ) ) ), X ) ] )
% 0.78/1.42 , clause( 1397, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.78/1.42 implies( X, Y ) ) ), X ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.42 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1407, [ =( implies( implies( implies( X, not( Y ) ), implies( Y,
% 0.78/1.42 not( X ) ) ), not( implies( X, not( Y ) ) ) ), implies( truth, not(
% 0.78/1.42 implies( Y, not( X ) ) ) ) ) ] )
% 0.78/1.42 , clause( 104, [ =( implies( implies( Y, not( X ) ), implies( X, not( Y ) )
% 0.78/1.42 ), truth ) ] )
% 0.78/1.42 , 0, clause( 167, [ =( implies( implies( Y, X ), not( Y ) ), implies(
% 0.78/1.42 implies( X, Y ), not( X ) ) ) ] )
% 0.78/1.42 , 0, 17, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.42 :=( X, implies( Y, not( X ) ) ), :=( Y, implies( X, not( Y ) ) )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1409, [ =( implies( implies( implies( X, not( Y ) ), implies( Y,
% 0.78/1.42 not( X ) ) ), not( implies( X, not( Y ) ) ) ), not( implies( Y, not( X )
% 0.78/1.42 ) ) ) ] )
% 0.78/1.42 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.42 , 0, clause( 1407, [ =( implies( implies( implies( X, not( Y ) ), implies(
% 0.78/1.42 Y, not( X ) ) ), not( implies( X, not( Y ) ) ) ), implies( truth, not(
% 0.78/1.42 implies( Y, not( X ) ) ) ) ) ] )
% 0.78/1.42 , 0, 16, substitution( 0, [ :=( X, not( implies( Y, not( X ) ) ) )] ),
% 0.78/1.42 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1410, [ =( implies( truth, not( implies( X, not( Y ) ) ) ), not(
% 0.78/1.42 implies( Y, not( X ) ) ) ) ] )
% 0.78/1.42 , clause( 104, [ =( implies( implies( Y, not( X ) ), implies( X, not( Y ) )
% 0.78/1.42 ), truth ) ] )
% 0.78/1.42 , 0, clause( 1409, [ =( implies( implies( implies( X, not( Y ) ), implies(
% 0.78/1.42 Y, not( X ) ) ), not( implies( X, not( Y ) ) ) ), not( implies( Y, not( X
% 0.78/1.42 ) ) ) ) ] )
% 0.78/1.42 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.42 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1411, [ =( not( implies( X, not( Y ) ) ), not( implies( Y, not( X )
% 0.78/1.42 ) ) ) ] )
% 0.78/1.42 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.42 , 0, clause( 1410, [ =( implies( truth, not( implies( X, not( Y ) ) ) ),
% 0.78/1.42 not( implies( Y, not( X ) ) ) ) ] )
% 0.78/1.42 , 0, 1, substitution( 0, [ :=( X, not( implies( X, not( Y ) ) ) )] ),
% 0.78/1.42 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 581, [ =( not( implies( X, not( Y ) ) ), not( implies( Y, not( X )
% 0.78/1.42 ) ) ) ] )
% 0.78/1.42 , clause( 1411, [ =( not( implies( X, not( Y ) ) ), not( implies( Y, not( X
% 0.78/1.42 ) ) ) ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.42 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1412, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ] )
% 0.78/1.42 , clause( 153, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1415, [ =( implies( implies( X, not( Y ) ), Z ), implies( not( Z )
% 0.78/1.42 , not( implies( Y, not( X ) ) ) ) ) ] )
% 0.78/1.42 , clause( 581, [ =( not( implies( X, not( Y ) ) ), not( implies( Y, not( X
% 0.78/1.42 ) ) ) ) ] )
% 0.78/1.42 , 0, clause( 1412, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ]
% 0.78/1.42 )
% 0.78/1.42 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.42 :=( X, Z ), :=( Y, implies( X, not( Y ) ) )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1418, [ =( implies( implies( X, not( Y ) ), Z ), implies( implies(
% 0.78/1.42 Y, not( X ) ), Z ) ) ] )
% 0.78/1.42 , clause( 153, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , 0, clause( 1415, [ =( implies( implies( X, not( Y ) ), Z ), implies( not(
% 0.78/1.42 Z ), not( implies( Y, not( X ) ) ) ) ) ] )
% 0.78/1.42 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, implies( Y, not( X ) ) )] ),
% 0.78/1.42 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 601, [ =( implies( implies( Y, not( X ) ), Z ), implies( implies( X
% 0.78/1.42 , not( Y ) ), Z ) ) ] )
% 0.78/1.42 , clause( 1418, [ =( implies( implies( X, not( Y ) ), Z ), implies( implies(
% 0.78/1.42 Y, not( X ) ), Z ) ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.78/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1419, [ =( Y, implies( implies( implies( X, Y ), not( X ) ), not(
% 0.78/1.42 implies( Y, X ) ) ) ) ] )
% 0.78/1.42 , clause( 568, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.78/1.42 implies( X, Y ) ) ), X ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1420, [ =( X, implies( implies( Y, not( implies( Y, X ) ) ), not(
% 0.78/1.42 implies( X, Y ) ) ) ) ] )
% 0.78/1.42 , clause( 601, [ =( implies( implies( Y, not( X ) ), Z ), implies( implies(
% 0.78/1.42 X, not( Y ) ), Z ) ) ] )
% 0.78/1.42 , 0, clause( 1419, [ =( Y, implies( implies( implies( X, Y ), not( X ) ),
% 0.78/1.42 not( implies( Y, X ) ) ) ) ] )
% 0.78/1.42 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, implies( Y, X ) ), :=( Z, not(
% 0.78/1.42 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1432, [ =( implies( implies( Y, not( implies( Y, X ) ) ), not(
% 0.78/1.42 implies( X, Y ) ) ), X ) ] )
% 0.78/1.42 , clause( 1420, [ =( X, implies( implies( Y, not( implies( Y, X ) ) ), not(
% 0.78/1.42 implies( X, Y ) ) ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 633, [ =( implies( implies( X, not( implies( X, Y ) ) ), not(
% 0.78/1.42 implies( Y, X ) ) ), Y ) ] )
% 0.78/1.42 , clause( 1432, [ =( implies( implies( Y, not( implies( Y, X ) ) ), not(
% 0.78/1.42 implies( X, Y ) ) ), X ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.42 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1445, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.78/1.42 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.78/1.42 , clause( 20, [ =( implies( implies( implies( implies( Y, Z ), implies( X,
% 0.78/1.42 Z ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.78/1.42 ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1454, [ =( truth, implies( truth, implies( implies( Z, implies( X,
% 0.78/1.42 Y ) ), implies( X, implies( Z, Y ) ) ) ) ) ] )
% 0.78/1.42 , clause( 46, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.78/1.42 implies( X, Z ) ), truth ) ] )
% 0.78/1.42 , 0, clause( 1445, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.78/1.42 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.78/1.42 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( Z, Y ) )] )
% 0.78/1.42 , substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z, Z ),
% 0.78/1.42 :=( T, implies( X, implies( Z, Y ) ) )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1466, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies(
% 0.78/1.42 Y, implies( X, Z ) ) ) ) ] )
% 0.78/1.42 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.42 , 0, clause( 1454, [ =( truth, implies( truth, implies( implies( Z, implies(
% 0.78/1.42 X, Y ) ), implies( X, implies( Z, Y ) ) ) ) ) ] )
% 0.78/1.42 , 0, 2, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 0.78/1.42 implies( Y, implies( X, Z ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 0.78/1.42 Y, Z ), :=( Z, X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1467, [ =( implies( implies( X, implies( Y, Z ) ), implies( Y,
% 0.78/1.42 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.42 , clause( 1466, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies(
% 0.78/1.42 Y, implies( X, Z ) ) ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 840, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.78/1.42 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.42 , clause( 1467, [ =( implies( implies( X, implies( Y, Z ) ), implies( Y,
% 0.78/1.42 implies( X, Z ) ) ), truth ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.78/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1469, [ =( truth, implies( implies( implies( implies( X, Y ), Y ),
% 0.78/1.42 Z ), implies( X, Z ) ) ) ] )
% 0.78/1.42 , clause( 46, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.78/1.42 implies( X, Z ) ), truth ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1485, [ =( truth, implies( truth, implies( implies( X, Y ), implies(
% 0.78/1.42 implies( Z, X ), implies( Z, Y ) ) ) ) ) ] )
% 0.78/1.42 , clause( 20, [ =( implies( implies( implies( implies( Y, Z ), implies( X,
% 0.78/1.42 Z ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.78/1.42 , 0, clause( 1469, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.78/1.42 Y ), Z ), implies( X, Z ) ) ) ] )
% 0.78/1.42 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T,
% 0.78/1.42 implies( Z, Y ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y
% 0.78/1.42 , implies( Z, Y ) ), :=( Z, implies( implies( Z, X ), implies( Z, Y ) ) )] )
% 0.78/1.42 ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1490, [ =( truth, implies( implies( X, Y ), implies( implies( Z, X
% 0.78/1.42 ), implies( Z, Y ) ) ) ) ] )
% 0.78/1.42 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.42 , 0, clause( 1485, [ =( truth, implies( truth, implies( implies( X, Y ),
% 0.78/1.42 implies( implies( Z, X ), implies( Z, Y ) ) ) ) ) ] )
% 0.78/1.42 , 0, 2, substitution( 0, [ :=( X, implies( implies( X, Y ), implies(
% 0.78/1.42 implies( Z, X ), implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, X )
% 0.78/1.42 , :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1491, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 0.78/1.42 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.42 , clause( 1490, [ =( truth, implies( implies( X, Y ), implies( implies( Z,
% 0.78/1.42 X ), implies( Z, Y ) ) ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 841, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 0.78/1.42 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.42 , clause( 1491, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 0.78/1.42 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1493, [ =( Y, implies( implies( implies( X, Y ), not( X ) ), not(
% 0.78/1.42 implies( Y, X ) ) ) ) ] )
% 0.78/1.42 , clause( 568, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.78/1.42 implies( X, Y ) ) ), X ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1500, [ =( implies( X, implies( Y, Z ) ), implies( implies( truth,
% 0.78/1.42 not( implies( Y, implies( X, Z ) ) ) ), not( implies( implies( X, implies(
% 0.78/1.42 Y, Z ) ), implies( Y, implies( X, Z ) ) ) ) ) ) ] )
% 0.78/1.42 , clause( 840, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.78/1.42 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.42 , 0, clause( 1493, [ =( Y, implies( implies( implies( X, Y ), not( X ) ),
% 0.78/1.42 not( implies( Y, X ) ) ) ) ] )
% 0.78/1.42 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.78/1.42 substitution( 1, [ :=( X, implies( Y, implies( X, Z ) ) ), :=( Y, implies(
% 0.78/1.42 X, implies( Y, Z ) ) )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1505, [ =( implies( X, implies( Y, Z ) ), implies( not( implies( Y
% 0.78/1.42 , implies( X, Z ) ) ), not( implies( implies( X, implies( Y, Z ) ),
% 0.78/1.42 implies( Y, implies( X, Z ) ) ) ) ) ) ] )
% 0.78/1.42 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.42 , 0, clause( 1500, [ =( implies( X, implies( Y, Z ) ), implies( implies(
% 0.78/1.42 truth, not( implies( Y, implies( X, Z ) ) ) ), not( implies( implies( X,
% 0.78/1.42 implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) ) ) ) ] )
% 0.78/1.42 , 0, 7, substitution( 0, [ :=( X, not( implies( Y, implies( X, Z ) ) ) )] )
% 0.78/1.42 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1506, [ =( implies( X, implies( Y, Z ) ), implies( implies( implies(
% 0.78/1.42 X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ), implies( Y,
% 0.78/1.42 implies( X, Z ) ) ) ) ] )
% 0.78/1.42 , clause( 153, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , 0, clause( 1505, [ =( implies( X, implies( Y, Z ) ), implies( not(
% 0.78/1.42 implies( Y, implies( X, Z ) ) ), not( implies( implies( X, implies( Y, Z
% 0.78/1.42 ) ), implies( Y, implies( X, Z ) ) ) ) ) ) ] )
% 0.78/1.42 , 0, 6, substitution( 0, [ :=( X, implies( Y, implies( X, Z ) ) ), :=( Y,
% 0.78/1.42 implies( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.78/1.42 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1507, [ =( implies( X, implies( Y, Z ) ), implies( truth, implies(
% 0.78/1.42 Y, implies( X, Z ) ) ) ) ] )
% 0.78/1.42 , clause( 840, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.78/1.42 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.42 , 0, clause( 1506, [ =( implies( X, implies( Y, Z ) ), implies( implies(
% 0.78/1.42 implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ), implies(
% 0.78/1.42 Y, implies( X, Z ) ) ) ) ] )
% 0.78/1.42 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.78/1.42 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1508, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z
% 0.78/1.42 ) ) ) ] )
% 0.78/1.42 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.78/1.42 , 0, clause( 1507, [ =( implies( X, implies( Y, Z ) ), implies( truth,
% 0.78/1.42 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.78/1.42 , 0, 6, substitution( 0, [ :=( X, implies( Y, implies( X, Z ) ) )] ),
% 0.78/1.42 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 924, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z
% 0.78/1.42 ) ) ) ] )
% 0.78/1.42 , clause( 1508, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X
% 0.78/1.42 , Z ) ) ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1509, [ =( truth, implies( implies( X, Y ), implies( implies( Z, X
% 0.78/1.42 ), implies( Z, Y ) ) ) ) ] )
% 0.78/1.42 , clause( 841, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 0.78/1.42 implies( Z, Y ) ) ), truth ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1512, [ =( truth, implies( implies( X, Y ), implies( Z, implies(
% 0.78/1.42 implies( Z, X ), Y ) ) ) ) ] )
% 0.78/1.42 , clause( 924, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X,
% 0.78/1.42 Z ) ) ) ] )
% 0.78/1.42 , 0, clause( 1509, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.78/1.42 Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.78/1.42 , 0, 6, substitution( 0, [ :=( X, implies( Z, X ) ), :=( Y, Z ), :=( Z, Y )] )
% 0.78/1.42 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1537, [ =( implies( implies( X, Y ), implies( Z, implies( implies(
% 0.78/1.42 Z, X ), Y ) ) ), truth ) ] )
% 0.78/1.42 , clause( 1512, [ =( truth, implies( implies( X, Y ), implies( Z, implies(
% 0.78/1.42 implies( Z, X ), Y ) ) ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 1079, [ =( implies( implies( Y, Z ), implies( X, implies( implies(
% 0.78/1.42 X, Y ), Z ) ) ), truth ) ] )
% 0.78/1.42 , clause( 1537, [ =( implies( implies( X, Y ), implies( Z, implies( implies(
% 0.78/1.42 Z, X ), Y ) ) ), truth ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.78/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1561, [ =( truth, implies( implies( X, Y ), implies( Z, implies(
% 0.78/1.42 implies( Z, X ), Y ) ) ) ) ] )
% 0.78/1.42 , clause( 1079, [ =( implies( implies( Y, Z ), implies( X, implies( implies(
% 0.78/1.42 X, Y ), Z ) ) ), truth ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1566, [ =( truth, implies( implies( not( implies( X, Y ) ), not(
% 0.78/1.42 implies( Y, X ) ) ), implies( X, Y ) ) ) ] )
% 0.78/1.42 , clause( 633, [ =( implies( implies( X, not( implies( X, Y ) ) ), not(
% 0.78/1.42 implies( Y, X ) ) ), Y ) ] )
% 0.78/1.42 , 0, clause( 1561, [ =( truth, implies( implies( X, Y ), implies( Z,
% 0.78/1.42 implies( implies( Z, X ), Y ) ) ) ) ] )
% 0.78/1.42 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.42 :=( X, not( implies( X, Y ) ) ), :=( Y, not( implies( Y, X ) ) ), :=( Z,
% 0.78/1.42 X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 paramod(
% 0.78/1.42 clause( 1568, [ =( truth, implies( implies( implies( Y, X ), implies( X, Y
% 0.78/1.42 ) ), implies( X, Y ) ) ) ] )
% 0.78/1.42 , clause( 153, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.78/1.42 , 0, clause( 1566, [ =( truth, implies( implies( not( implies( X, Y ) ),
% 0.78/1.42 not( implies( Y, X ) ) ), implies( X, Y ) ) ) ] )
% 0.78/1.42 , 0, 3, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( Y, X )
% 0.78/1.42 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1569, [ =( implies( implies( implies( X, Y ), implies( Y, X ) ),
% 0.78/1.42 implies( Y, X ) ), truth ) ] )
% 0.78/1.42 , clause( 1568, [ =( truth, implies( implies( implies( Y, X ), implies( X,
% 0.78/1.42 Y ) ), implies( X, Y ) ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 1168, [ =( implies( implies( implies( Y, X ), implies( X, Y ) ),
% 0.78/1.42 implies( X, Y ) ), truth ) ] )
% 0.78/1.42 , clause( 1569, [ =( implies( implies( implies( X, Y ), implies( Y, X ) ),
% 0.78/1.42 implies( Y, X ) ), truth ) ] )
% 0.78/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.42 )] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1570, [ =( truth, implies( implies( implies( X, Y ), implies( Y, X
% 0.78/1.42 ) ), implies( Y, X ) ) ) ] )
% 0.78/1.42 , clause( 1168, [ =( implies( implies( implies( Y, X ), implies( X, Y ) ),
% 0.78/1.42 implies( X, Y ) ), truth ) ] )
% 0.78/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 eqswap(
% 0.78/1.42 clause( 1571, [ ~( =( truth, implies( implies( implies( b, a ), implies( a
% 0.78/1.42 , b ) ), implies( a, b ) ) ) ) ] )
% 0.78/1.42 , clause( 62, [ ~( =( implies( implies( implies( b, a ), implies( a, b ) )
% 0.78/1.42 , implies( a, b ) ), truth ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [] )).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 resolution(
% 0.78/1.42 clause( 1572, [] )
% 0.78/1.42 , clause( 1571, [ ~( =( truth, implies( implies( implies( b, a ), implies(
% 0.78/1.42 a, b ) ), implies( a, b ) ) ) ) ] )
% 0.78/1.42 , 0, clause( 1570, [ =( truth, implies( implies( implies( X, Y ), implies(
% 0.78/1.42 Y, X ) ), implies( Y, X ) ) ) ] )
% 0.78/1.42 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 0.78/1.42 ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 subsumption(
% 0.78/1.42 clause( 1169, [] )
% 0.78/1.42 , clause( 1572, [] )
% 0.78/1.42 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 end.
% 0.78/1.42
% 0.78/1.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.42
% 0.78/1.42 Memory use:
% 0.78/1.42
% 0.78/1.42 space for terms: 16573
% 0.78/1.42 space for clauses: 126739
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 clauses generated: 62913
% 0.78/1.42 clauses kept: 1170
% 0.78/1.42 clauses selected: 181
% 0.78/1.42 clauses deleted: 134
% 0.78/1.42 clauses inuse deleted: 63
% 0.78/1.42
% 0.78/1.42 subsentry: 3783
% 0.78/1.42 literals s-matched: 1322
% 0.78/1.42 literals matched: 1098
% 0.78/1.42 full subsumption: 0
% 0.78/1.42
% 0.78/1.42 checksum: 976871997
% 0.78/1.42
% 0.78/1.42
% 0.78/1.42 Bliksem ended
%------------------------------------------------------------------------------