TSTP Solution File: LCL109-10 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL109-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:50:26 EDT 2022
% Result : Unsatisfiable 1.02s 1.40s
% Output : Refutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL109-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.31 % Computer : n010.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sun Jul 3 08:50:18 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.02/1.40 *** allocated 10000 integers for termspace/termends
% 1.02/1.40 *** allocated 10000 integers for clauses
% 1.02/1.40 *** allocated 10000 integers for justifications
% 1.02/1.40 Bliksem 1.12
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Automatic Strategy Selection
% 1.02/1.40
% 1.02/1.40 Clauses:
% 1.02/1.40 [
% 1.02/1.40 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 1.02/1.40 [ =( implies( truth, X ), X ) ],
% 1.02/1.40 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 1.02/1.40 ) ), truth ) ],
% 1.02/1.40 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 1.02/1.40 ,
% 1.02/1.40 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 1.02/1.40 ],
% 1.02/1.40 [ =( implies( X, X ), truth ) ],
% 1.02/1.40 [ =( ifeq( implies( X, Y ), implies( Y, X ), X, Y ), Y ) ],
% 1.02/1.40 [ =( implies( X, truth ), truth ) ],
% 1.02/1.40 [ =( implies( X, implies( Y, X ) ), truth ) ],
% 1.02/1.40 [ =( ifeq( implies( X, Y ), implies( Y, Z ), implies( X, Z ), truth ),
% 1.02/1.40 truth ) ],
% 1.02/1.40 [ =( implies( implies( X, Y ), implies( implies( Z, X ), implies( Z, Y )
% 1.02/1.40 ) ), truth ) ],
% 1.02/1.40 [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) ]
% 1.02/1.40 ,
% 1.02/1.40 [ =( implies( X, not( truth ) ), not( X ) ) ],
% 1.02/1.40 [ =( not( not( X ) ), X ) ],
% 1.02/1.40 [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ],
% 1.02/1.40 [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ), implies( b
% 1.02/1.40 , a ) ), truth ) ) ]
% 1.02/1.40 ] .
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 percentage equality = 1.000000, percentage horn = 1.000000
% 1.02/1.40 This is a pure equality problem
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Options Used:
% 1.02/1.40
% 1.02/1.40 useres = 1
% 1.02/1.40 useparamod = 1
% 1.02/1.40 useeqrefl = 1
% 1.02/1.40 useeqfact = 1
% 1.02/1.40 usefactor = 1
% 1.02/1.40 usesimpsplitting = 0
% 1.02/1.40 usesimpdemod = 5
% 1.02/1.40 usesimpres = 3
% 1.02/1.40
% 1.02/1.40 resimpinuse = 1000
% 1.02/1.40 resimpclauses = 20000
% 1.02/1.40 substype = eqrewr
% 1.02/1.40 backwardsubs = 1
% 1.02/1.40 selectoldest = 5
% 1.02/1.40
% 1.02/1.40 litorderings [0] = split
% 1.02/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 1.02/1.40
% 1.02/1.40 termordering = kbo
% 1.02/1.40
% 1.02/1.40 litapriori = 0
% 1.02/1.40 termapriori = 1
% 1.02/1.40 litaposteriori = 0
% 1.02/1.40 termaposteriori = 0
% 1.02/1.40 demodaposteriori = 0
% 1.02/1.40 ordereqreflfact = 0
% 1.02/1.40
% 1.02/1.40 litselect = negord
% 1.02/1.40
% 1.02/1.40 maxweight = 15
% 1.02/1.40 maxdepth = 30000
% 1.02/1.40 maxlength = 115
% 1.02/1.40 maxnrvars = 195
% 1.02/1.40 excuselevel = 1
% 1.02/1.40 increasemaxweight = 1
% 1.02/1.40
% 1.02/1.40 maxselected = 10000000
% 1.02/1.40 maxnrclauses = 10000000
% 1.02/1.40
% 1.02/1.40 showgenerated = 0
% 1.02/1.40 showkept = 0
% 1.02/1.40 showselected = 0
% 1.02/1.40 showdeleted = 0
% 1.02/1.40 showresimp = 1
% 1.02/1.40 showstatus = 2000
% 1.02/1.40
% 1.02/1.40 prologoutput = 1
% 1.02/1.40 nrgoals = 5000000
% 1.02/1.40 totalproof = 1
% 1.02/1.40
% 1.02/1.40 Symbols occurring in the translation:
% 1.02/1.40
% 1.02/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.02/1.40 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 1.02/1.40 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.02/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.40 ifeq [42, 4] (w:1, o:50, a:1, s:1, b:0),
% 1.02/1.40 truth [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.02/1.40 implies [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.02/1.40 not [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.02/1.40 a [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.02/1.40 b [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Starting Search:
% 1.02/1.40
% 1.02/1.40 Resimplifying inuse:
% 1.02/1.40 Done
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Bliksems!, er is een bewijs:
% 1.02/1.40 % SZS status Unsatisfiable
% 1.02/1.40 % SZS output start Refutation
% 1.02/1.40
% 1.02/1.40 clause( 1, [ =( implies( truth, X ), X ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 3, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 8, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 10, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 1.02/1.40 implies( Z, Y ) ) ), truth ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 11, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z )
% 1.02/1.40 ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 13, [ =( not( not( X ) ), X ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 15, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 1.02/1.40 implies( b, a ) ), truth ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 22, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 26, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 27, [ =( implies( not( Y ), X ), implies( not( X ), Y ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 30, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 44, [ =( implies( Y, not( implies( X, not( Y ) ) ) ), implies(
% 1.02/1.40 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 45, [ =( implies( implies( Y, not( X ) ), not( Y ) ), implies(
% 1.02/1.40 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 49, [ =( implies( not( implies( X, Y ) ), X ), truth ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 192, [ =( implies( implies( Y, Z ), implies( X, implies( implies( X
% 1.02/1.40 , Y ), Z ) ) ), truth ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 211, [ ~( =( implies( implies( implies( b, a ), implies( a, b ) ),
% 1.02/1.40 implies( a, b ) ), truth ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 673, [ =( implies( implies( X, not( implies( X, Y ) ) ), not(
% 1.02/1.40 implies( Y, X ) ) ), Y ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 1186, [ =( implies( implies( implies( Y, X ), implies( X, Y ) ),
% 1.02/1.40 implies( X, Y ) ), truth ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 1188, [] )
% 1.02/1.40 .
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 % SZS output end Refutation
% 1.02/1.40 found a proof!
% 1.02/1.40
% 1.02/1.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.02/1.40
% 1.02/1.40 initialclauses(
% 1.02/1.40 [ clause( 1190, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.02/1.40 , clause( 1191, [ =( implies( truth, X ), X ) ] )
% 1.02/1.40 , clause( 1192, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.02/1.40 implies( X, Z ) ) ), truth ) ] )
% 1.02/1.40 , clause( 1193, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1194, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 1.02/1.40 ) ), truth ) ] )
% 1.02/1.40 , clause( 1195, [ =( implies( X, X ), truth ) ] )
% 1.02/1.40 , clause( 1196, [ =( ifeq( implies( X, Y ), implies( Y, X ), X, Y ), Y ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1197, [ =( implies( X, truth ), truth ) ] )
% 1.02/1.40 , clause( 1198, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 1.02/1.40 , clause( 1199, [ =( ifeq( implies( X, Y ), implies( Y, Z ), implies( X, Z
% 1.02/1.40 ), truth ), truth ) ] )
% 1.02/1.40 , clause( 1200, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 1.02/1.40 implies( Z, Y ) ) ), truth ) ] )
% 1.02/1.40 , clause( 1201, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X
% 1.02/1.40 , Z ) ) ) ] )
% 1.02/1.40 , clause( 1202, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 1.02/1.40 , clause( 1203, [ =( not( not( X ) ), X ) ] )
% 1.02/1.40 , clause( 1204, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.40 , clause( 1205, [ ~( =( implies( implies( implies( a, b ), implies( b, a )
% 1.02/1.40 ), implies( b, a ) ), truth ) ) ] )
% 1.02/1.40 ] ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 1, [ =( implies( truth, X ), X ) ] )
% 1.02/1.40 , clause( 1191, [ =( implies( truth, X ), X ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 3, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1193, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 8, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 1.02/1.40 , clause( 1198, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 10, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 1.02/1.40 implies( Z, Y ) ) ), truth ) ] )
% 1.02/1.40 , clause( 1200, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 1.02/1.40 implies( Z, Y ) ) ), truth ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 11, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z )
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1201, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X
% 1.02/1.40 , Z ) ) ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 13, [ =( not( not( X ) ), X ) ] )
% 1.02/1.40 , clause( 1203, [ =( not( not( X ) ), X ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.40 , clause( 1204, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 15, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 1.02/1.40 implies( b, a ) ), truth ) ) ] )
% 1.02/1.40 , clause( 1205, [ ~( =( implies( implies( implies( a, b ), implies( b, a )
% 1.02/1.40 ), implies( b, a ) ), truth ) ) ] )
% 1.02/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1279, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 1.02/1.40 , clause( 8, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1282, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 1.02/1.40 , clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.40 , 0, clause( 1279, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 1.02/1.40 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.02/1.40 :=( X, not( X ) ), :=( Y, not( Y ) )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1283, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 1.02/1.40 , clause( 1282, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 22, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 1.02/1.40 , clause( 1283, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1285, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ] )
% 1.02/1.40 , clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1286, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 1.02/1.40 , clause( 13, [ =( not( not( X ) ), X ) ] )
% 1.02/1.40 , 0, clause( 1285, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, not( Y
% 1.02/1.40 ) ), :=( Y, X )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 26, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 1.02/1.40 , clause( 1286, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1289, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ] )
% 1.02/1.40 , clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1291, [ =( implies( not( X ), Y ), implies( not( Y ), X ) ) ] )
% 1.02/1.40 , clause( 13, [ =( not( not( X ) ), X ) ] )
% 1.02/1.40 , 0, clause( 1289, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 1.02/1.40 :=( Y, not( X ) )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 27, [ =( implies( not( Y ), X ), implies( not( X ), Y ) ) ] )
% 1.02/1.40 , clause( 1291, [ =( implies( not( X ), Y ), implies( not( Y ), X ) ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1293, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 1.02/1.40 , clause( 22, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1294, [ =( truth, implies( X, implies( not( X ), Y ) ) ) ] )
% 1.02/1.40 , clause( 13, [ =( not( not( X ) ), X ) ] )
% 1.02/1.40 , 0, clause( 1293, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 1.02/1.40 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 1.02/1.40 ) ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1295, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 1.02/1.40 , clause( 1294, [ =( truth, implies( X, implies( not( X ), Y ) ) ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 30, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 1.02/1.40 , clause( 1295, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1296, [ =( implies( Y, not( implies( X, not( Y ) ) ) ), implies(
% 1.02/1.40 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.40 , clause( 26, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 1.02/1.40 , 0, clause( 3, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , 0, 1, substitution( 0, [ :=( X, implies( X, not( Y ) ) ), :=( Y, Y )] ),
% 1.02/1.40 substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 44, [ =( implies( Y, not( implies( X, not( Y ) ) ) ), implies(
% 1.02/1.40 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.40 , clause( 1296, [ =( implies( Y, not( implies( X, not( Y ) ) ) ), implies(
% 1.02/1.40 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1305, [ =( implies( implies( Y, not( X ) ), not( Y ) ), implies(
% 1.02/1.40 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.40 , clause( 26, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 1.02/1.40 , 0, clause( 3, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.40 :=( X, X ), :=( Y, not( Y ) )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 45, [ =( implies( implies( Y, not( X ) ), not( Y ) ), implies(
% 1.02/1.40 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.40 , clause( 1305, [ =( implies( implies( Y, not( X ) ), not( Y ) ), implies(
% 1.02/1.40 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1312, [ =( truth, implies( X, implies( not( X ), Y ) ) ) ] )
% 1.02/1.40 , clause( 30, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1314, [ =( truth, implies( not( implies( not( not( X ) ), Y ) ), X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 27, [ =( implies( not( Y ), X ), implies( not( X ), Y ) ) ] )
% 1.02/1.40 , 0, clause( 1312, [ =( truth, implies( X, implies( not( X ), Y ) ) ) ] )
% 1.02/1.40 , 0, 2, substitution( 0, [ :=( X, implies( not( not( X ) ), Y ) ), :=( Y, X
% 1.02/1.40 )] ), substitution( 1, [ :=( X, not( X ) ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1318, [ =( truth, implies( not( implies( X, Y ) ), X ) ) ] )
% 1.02/1.40 , clause( 13, [ =( not( not( X ) ), X ) ] )
% 1.02/1.40 , 0, clause( 1314, [ =( truth, implies( not( implies( not( not( X ) ), Y )
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.02/1.40 :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1319, [ =( implies( not( implies( X, Y ) ), X ), truth ) ] )
% 1.02/1.40 , clause( 1318, [ =( truth, implies( not( implies( X, Y ) ), X ) ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 49, [ =( implies( not( implies( X, Y ) ), X ), truth ) ] )
% 1.02/1.40 , clause( 1319, [ =( implies( not( implies( X, Y ) ), X ), truth ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1320, [ =( truth, implies( implies( X, Y ), implies( implies( Z, X
% 1.02/1.40 ), implies( Z, Y ) ) ) ) ] )
% 1.02/1.40 , clause( 10, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 1.02/1.40 implies( Z, Y ) ) ), truth ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 paramod(
% 1.02/1.40 clause( 1323, [ =( truth, implies( implies( X, Y ), implies( Z, implies(
% 1.02/1.40 implies( Z, X ), Y ) ) ) ) ] )
% 1.02/1.40 , clause( 11, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z
% 1.02/1.40 ) ) ) ] )
% 1.02/1.40 , 0, clause( 1320, [ =( truth, implies( implies( X, Y ), implies( implies(
% 1.02/1.40 Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.02/1.40 , 0, 6, substitution( 0, [ :=( X, implies( Z, X ) ), :=( Y, Z ), :=( Z, Y )] )
% 1.02/1.40 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 1348, [ =( implies( implies( X, Y ), implies( Z, implies( implies(
% 1.02/1.40 Z, X ), Y ) ) ), truth ) ] )
% 1.02/1.40 , clause( 1323, [ =( truth, implies( implies( X, Y ), implies( Z, implies(
% 1.02/1.40 implies( Z, X ), Y ) ) ) ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 192, [ =( implies( implies( Y, Z ), implies( X, implies( implies( X
% 1.02/1.40 , Y ), Z ) ) ), truth ) ] )
% 1.02/1.41 , clause( 1348, [ =( implies( implies( X, Y ), implies( Z, implies( implies(
% 1.02/1.41 Z, X ), Y ) ) ), truth ) ] )
% 1.02/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.02/1.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1371, [ ~( =( truth, implies( implies( implies( a, b ), implies( b
% 1.02/1.41 , a ) ), implies( b, a ) ) ) ) ] )
% 1.02/1.41 , clause( 15, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) )
% 1.02/1.41 , implies( b, a ) ), truth ) ) ] )
% 1.02/1.41 , 0, substitution( 0, [] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1372, [ ~( =( truth, implies( implies( implies( b, a ), implies( a
% 1.02/1.41 , b ) ), implies( a, b ) ) ) ) ] )
% 1.02/1.41 , clause( 3, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , 0, clause( 1371, [ ~( =( truth, implies( implies( implies( a, b ),
% 1.02/1.41 implies( b, a ) ), implies( b, a ) ) ) ) ] )
% 1.02/1.41 , 0, 3, substitution( 0, [ :=( X, implies( a, b ) ), :=( Y, implies( b, a )
% 1.02/1.41 )] ), substitution( 1, [] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1375, [ ~( =( implies( implies( implies( b, a ), implies( a, b ) )
% 1.02/1.41 , implies( a, b ) ), truth ) ) ] )
% 1.02/1.41 , clause( 1372, [ ~( =( truth, implies( implies( implies( b, a ), implies(
% 1.02/1.41 a, b ) ), implies( a, b ) ) ) ) ] )
% 1.02/1.41 , 0, substitution( 0, [] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 subsumption(
% 1.02/1.41 clause( 211, [ ~( =( implies( implies( implies( b, a ), implies( a, b ) ),
% 1.02/1.41 implies( a, b ) ), truth ) ) ] )
% 1.02/1.41 , clause( 1375, [ ~( =( implies( implies( implies( b, a ), implies( a, b )
% 1.02/1.41 ), implies( a, b ) ), truth ) ) ] )
% 1.02/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1376, [ =( implies( implies( not( X ), Y ), Y ), implies( X, not(
% 1.02/1.41 implies( Y, not( X ) ) ) ) ) ] )
% 1.02/1.41 , clause( 44, [ =( implies( Y, not( implies( X, not( Y ) ) ) ), implies(
% 1.02/1.41 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1377, [ =( implies( implies( not( X ), Y ), Y ), implies( implies(
% 1.02/1.41 X, not( Y ) ), not( X ) ) ) ] )
% 1.02/1.41 , clause( 45, [ =( implies( implies( Y, not( X ) ), not( Y ) ), implies(
% 1.02/1.41 implies( not( Y ), X ), X ) ) ] )
% 1.02/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1384, [ =( implies( implies( not( implies( not( X ), not( Y ) ) ),
% 1.02/1.41 Y ), Y ), implies( implies( X, not( implies( not( Y ), not( X ) ) ) ),
% 1.02/1.41 not( implies( not( X ), not( Y ) ) ) ) ) ] )
% 1.02/1.41 , clause( 1376, [ =( implies( implies( not( X ), Y ), Y ), implies( X, not(
% 1.02/1.41 implies( Y, not( X ) ) ) ) ) ] )
% 1.02/1.41 , 0, clause( 1377, [ =( implies( implies( not( X ), Y ), Y ), implies(
% 1.02/1.41 implies( X, not( Y ) ), not( X ) ) ) ] )
% 1.02/1.41 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ),
% 1.02/1.41 substitution( 1, [ :=( X, implies( not( X ), not( Y ) ) ), :=( Y, Y )] )
% 1.02/1.41 ).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1389, [ =( implies( implies( not( implies( not( X ), not( Y ) ) ),
% 1.02/1.41 Y ), Y ), implies( implies( X, not( implies( X, Y ) ) ), not( implies(
% 1.02/1.41 not( X ), not( Y ) ) ) ) ) ] )
% 1.02/1.41 , clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.41 , 0, clause( 1384, [ =( implies( implies( not( implies( not( X ), not( Y )
% 1.02/1.41 ) ), Y ), Y ), implies( implies( X, not( implies( not( Y ), not( X ) ) )
% 1.02/1.41 ), not( implies( not( X ), not( Y ) ) ) ) ) ] )
% 1.02/1.41 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.02/1.41 :=( X, X ), :=( Y, Y )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1395, [ =( implies( implies( not( implies( not( X ), not( Y ) ) ),
% 1.02/1.41 Y ), Y ), implies( implies( X, not( implies( X, Y ) ) ), not( implies( Y
% 1.02/1.41 , X ) ) ) ) ] )
% 1.02/1.41 , clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.41 , 0, clause( 1389, [ =( implies( implies( not( implies( not( X ), not( Y )
% 1.02/1.41 ) ), Y ), Y ), implies( implies( X, not( implies( X, Y ) ) ), not(
% 1.02/1.41 implies( not( X ), not( Y ) ) ) ) ) ] )
% 1.02/1.41 , 0, 19, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.41 :=( X, X ), :=( Y, Y )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1396, [ =( implies( implies( not( implies( Y, X ) ), Y ), Y ),
% 1.02/1.41 implies( implies( X, not( implies( X, Y ) ) ), not( implies( Y, X ) ) ) )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.41 , 0, clause( 1395, [ =( implies( implies( not( implies( not( X ), not( Y )
% 1.02/1.41 ) ), Y ), Y ), implies( implies( X, not( implies( X, Y ) ) ), not(
% 1.02/1.41 implies( Y, X ) ) ) ) ] )
% 1.02/1.41 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.41 :=( X, X ), :=( Y, Y )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1397, [ =( implies( truth, X ), implies( implies( Y, not( implies(
% 1.02/1.41 Y, X ) ) ), not( implies( X, Y ) ) ) ) ] )
% 1.02/1.41 , clause( 49, [ =( implies( not( implies( X, Y ) ), X ), truth ) ] )
% 1.02/1.41 , 0, clause( 1396, [ =( implies( implies( not( implies( Y, X ) ), Y ), Y )
% 1.02/1.41 , implies( implies( X, not( implies( X, Y ) ) ), not( implies( Y, X ) ) )
% 1.02/1.41 ) ] )
% 1.02/1.41 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.41 :=( X, Y ), :=( Y, X )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1398, [ =( X, implies( implies( Y, not( implies( Y, X ) ) ), not(
% 1.02/1.41 implies( X, Y ) ) ) ) ] )
% 1.02/1.41 , clause( 1, [ =( implies( truth, X ), X ) ] )
% 1.02/1.41 , 0, clause( 1397, [ =( implies( truth, X ), implies( implies( Y, not(
% 1.02/1.41 implies( Y, X ) ) ), not( implies( X, Y ) ) ) ) ] )
% 1.02/1.41 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.02/1.41 :=( Y, Y )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1399, [ =( implies( implies( Y, not( implies( Y, X ) ) ), not(
% 1.02/1.41 implies( X, Y ) ) ), X ) ] )
% 1.02/1.41 , clause( 1398, [ =( X, implies( implies( Y, not( implies( Y, X ) ) ), not(
% 1.02/1.41 implies( X, Y ) ) ) ) ] )
% 1.02/1.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 subsumption(
% 1.02/1.41 clause( 673, [ =( implies( implies( X, not( implies( X, Y ) ) ), not(
% 1.02/1.41 implies( Y, X ) ) ), Y ) ] )
% 1.02/1.41 , clause( 1399, [ =( implies( implies( Y, not( implies( Y, X ) ) ), not(
% 1.02/1.41 implies( X, Y ) ) ), X ) ] )
% 1.02/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.41 )] ) ).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1401, [ =( truth, implies( implies( X, Y ), implies( Z, implies(
% 1.02/1.41 implies( Z, X ), Y ) ) ) ) ] )
% 1.02/1.41 , clause( 192, [ =( implies( implies( Y, Z ), implies( X, implies( implies(
% 1.02/1.41 X, Y ), Z ) ) ), truth ) ] )
% 1.02/1.41 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1406, [ =( truth, implies( implies( not( implies( X, Y ) ), not(
% 1.02/1.41 implies( Y, X ) ) ), implies( X, Y ) ) ) ] )
% 1.02/1.41 , clause( 673, [ =( implies( implies( X, not( implies( X, Y ) ) ), not(
% 1.02/1.41 implies( Y, X ) ) ), Y ) ] )
% 1.02/1.41 , 0, clause( 1401, [ =( truth, implies( implies( X, Y ), implies( Z,
% 1.02/1.41 implies( implies( Z, X ), Y ) ) ) ) ] )
% 1.02/1.41 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.41 :=( X, not( implies( X, Y ) ) ), :=( Y, not( implies( Y, X ) ) ), :=( Z,
% 1.02/1.41 X )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 paramod(
% 1.02/1.41 clause( 1408, [ =( truth, implies( implies( implies( Y, X ), implies( X, Y
% 1.02/1.41 ) ), implies( X, Y ) ) ) ] )
% 1.02/1.41 , clause( 14, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 1.02/1.41 , 0, clause( 1406, [ =( truth, implies( implies( not( implies( X, Y ) ),
% 1.02/1.41 not( implies( Y, X ) ) ), implies( X, Y ) ) ) ] )
% 1.02/1.41 , 0, 3, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( Y, X )
% 1.02/1.41 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1409, [ =( implies( implies( implies( X, Y ), implies( Y, X ) ),
% 1.02/1.41 implies( Y, X ) ), truth ) ] )
% 1.02/1.41 , clause( 1408, [ =( truth, implies( implies( implies( Y, X ), implies( X,
% 1.02/1.41 Y ) ), implies( X, Y ) ) ) ] )
% 1.02/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 subsumption(
% 1.02/1.41 clause( 1186, [ =( implies( implies( implies( Y, X ), implies( X, Y ) ),
% 1.02/1.41 implies( X, Y ) ), truth ) ] )
% 1.02/1.41 , clause( 1409, [ =( implies( implies( implies( X, Y ), implies( Y, X ) ),
% 1.02/1.41 implies( Y, X ) ), truth ) ] )
% 1.02/1.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.41 )] ) ).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1410, [ =( truth, implies( implies( implies( X, Y ), implies( Y, X
% 1.02/1.41 ) ), implies( Y, X ) ) ) ] )
% 1.02/1.41 , clause( 1186, [ =( implies( implies( implies( Y, X ), implies( X, Y ) ),
% 1.02/1.41 implies( X, Y ) ), truth ) ] )
% 1.02/1.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 eqswap(
% 1.02/1.41 clause( 1411, [ ~( =( truth, implies( implies( implies( b, a ), implies( a
% 1.02/1.41 , b ) ), implies( a, b ) ) ) ) ] )
% 1.02/1.41 , clause( 211, [ ~( =( implies( implies( implies( b, a ), implies( a, b ) )
% 1.02/1.41 , implies( a, b ) ), truth ) ) ] )
% 1.02/1.41 , 0, substitution( 0, [] )).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 resolution(
% 1.02/1.41 clause( 1412, [] )
% 1.02/1.41 , clause( 1411, [ ~( =( truth, implies( implies( implies( b, a ), implies(
% 1.02/1.41 a, b ) ), implies( a, b ) ) ) ) ] )
% 1.02/1.41 , 0, clause( 1410, [ =( truth, implies( implies( implies( X, Y ), implies(
% 1.02/1.41 Y, X ) ), implies( Y, X ) ) ) ] )
% 1.02/1.41 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 1.02/1.41 ).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 subsumption(
% 1.02/1.41 clause( 1188, [] )
% 1.02/1.41 , clause( 1412, [] )
% 1.02/1.41 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 end.
% 1.02/1.41
% 1.02/1.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.02/1.41
% 1.02/1.41 Memory use:
% 1.02/1.41
% 1.02/1.41 space for terms: 17212
% 1.02/1.41 space for clauses: 135329
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 clauses generated: 65647
% 1.02/1.41 clauses kept: 1189
% 1.02/1.41 clauses selected: 231
% 1.02/1.41 clauses deleted: 38
% 1.02/1.41 clauses inuse deleted: 6
% 1.02/1.41
% 1.02/1.41 subsentry: 3782
% 1.02/1.41 literals s-matched: 1700
% 1.02/1.41 literals matched: 1546
% 1.02/1.41 full subsumption: 0
% 1.02/1.41
% 1.02/1.41 checksum: -1597347531
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 Bliksem ended
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