TSTP Solution File: LCL116-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL116-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 07:50:34 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL116-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jul 4 04:37:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07 [
% 0.43/1.07 [ =( implies( truth, X ), X ) ],
% 0.43/1.07 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.43/1.07 ) ), truth ) ],
% 0.43/1.07 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.43/1.07 ,
% 0.43/1.07 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.43/1.07 ],
% 0.43/1.07 [ ~( =( implies( not( a ), implies( b, not( implies( b, a ) ) ) ), truth
% 0.43/1.07 ) ) ]
% 0.43/1.07 ] .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.07 This is a pure equality problem
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 1
% 0.43/1.07 useeqrefl = 1
% 0.43/1.07 useeqfact = 1
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 5
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = eqrewr
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.07
% 0.43/1.07 termordering = kbo
% 0.43/1.07
% 0.43/1.07 litapriori = 0
% 0.43/1.07 termapriori = 1
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = negord
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 1
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.07 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.07 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.07 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.07 b [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.43/1.07 X, Z ) ) ), truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.43/1.07 ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.43/1.07 truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 4, [ ~( =( implies( not( a ), implies( b, not( implies( b, a ) ) )
% 0.43/1.07 ), truth ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.43/1.07 )
% 0.43/1.07 .
% 0.43/1.07 clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X ), not(
% 0.43/1.07 Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 .
% 0.43/1.07 clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 62, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 71, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 72, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 75, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.43/1.07 )
% 0.43/1.07 .
% 0.43/1.07 clause( 85, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 .
% 0.43/1.07 clause( 93, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 .
% 0.43/1.07 clause( 98, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 105, [ =( not( not( X ) ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 107, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 159, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 162, [ =( implies( not( X ), implies( implies( Y, X ), not( Y ) ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 173, [] )
% 0.43/1.07 .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 initialclauses(
% 0.43/1.07 [ clause( 175, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , clause( 176, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.43/1.07 , clause( 177, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.43/1.07 , X ) ) ] )
% 0.43/1.07 , clause( 178, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , clause( 179, [ ~( =( implies( not( a ), implies( b, not( implies( b, a )
% 0.43/1.07 ) ) ), truth ) ) ] )
% 0.43/1.07 ] ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , clause( 175, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.43/1.07 X, Z ) ) ), truth ) ] )
% 0.43/1.07 , clause( 176, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , clause( 177, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.43/1.07 , X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.43/1.07 truth ) ] )
% 0.43/1.07 , clause( 178, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 4, [ ~( =( implies( not( a ), implies( b, not( implies( b, a ) ) )
% 0.43/1.07 ), truth ) ) ] )
% 0.43/1.07 , clause( 179, [ ~( =( implies( not( a ), implies( b, not( implies( b, a )
% 0.43/1.07 ) ) ), truth ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 193, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.43/1.07 ), X ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.43/1.07 , :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 193, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 200, [ =( implies( implies( implies( X, Y ), implies( not( Y ), not(
% 0.43/1.07 X ) ) ), implies( not( Y ), not( X ) ) ), implies( truth, implies( X, Y )
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.43/1.07 ), X ) ) ] )
% 0.43/1.07 , 0, 17, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.43/1.07 :=( X, implies( X, Y ) ), :=( Y, implies( not( Y ), not( X ) ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 201, [ =( implies( implies( implies( X, Y ), implies( not( Y ), not(
% 0.43/1.07 X ) ) ), implies( not( Y ), not( X ) ) ), implies( X, Y ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 200, [ =( implies( implies( implies( X, Y ), implies( not( Y )
% 0.43/1.07 , not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( truth, implies(
% 0.43/1.07 X, Y ) ) ) ] )
% 0.43/1.07 , 0, 16, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 0.43/1.07 :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X ), not(
% 0.43/1.07 Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.43/1.07 , clause( 201, [ =( implies( implies( implies( X, Y ), implies( not( Y ),
% 0.43/1.07 not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( X, Y ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 204, [ =( truth, implies( implies( not( X ), not( Y ) ), implies( Y
% 0.43/1.07 , X ) ) ) ] )
% 0.43/1.07 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 205, [ =( truth, implies( implies( not( X ), not( truth ) ), X ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 204, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.43/1.07 implies( Y, X ) ) ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, truth )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 206, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 205, [ =( truth, implies( implies( not( X ), not( truth ) ), X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 206, [ =( implies( implies( not( X ), not( truth ) ), X ), truth
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 208, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.43/1.07 , implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 212, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.43/1.07 , Y ), Y ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 208, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.43/1.07 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.43/1.07 ), :=( Y, X ), :=( Z, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 214, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 212, [ =( truth, implies( implies( truth, X ), implies(
% 0.43/1.07 implies( X, Y ), Y ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 215, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.43/1.07 , clause( 214, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.43/1.07 , clause( 215, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 216, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.43/1.07 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 220, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 216, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.43/1.07 , :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 222, [ =( truth, implies( X, X ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 220, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.43/1.07 :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 223, [ =( implies( X, X ), truth ) ] )
% 0.43/1.07 , clause( 222, [ =( truth, implies( X, X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.43/1.07 , clause( 223, [ =( implies( X, X ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 224, [ =( truth, implies( X, X ) ) ] )
% 0.43/1.07 , clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 226, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.43/1.07 , clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, clause( 224, [ =( truth, implies( X, X ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 227, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/1.07 , clause( 226, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/1.07 , clause( 227, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 229, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.43/1.07 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 230, [ =( truth, implies( X, truth ) ) ] )
% 0.43/1.07 , clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/1.07 , 0, clause( 229, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, truth )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 232, [ =( implies( X, truth ), truth ) ] )
% 0.43/1.07 , clause( 230, [ =( truth, implies( X, truth ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.43/1.07 , clause( 232, [ =( implies( X, truth ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 235, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.43/1.07 , implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 238, [ =( truth, implies( truth, implies( implies( truth, Y ),
% 0.43/1.07 implies( X, Y ) ) ) ) ] )
% 0.43/1.07 , clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.43/1.07 , 0, clause( 235, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.43/1.07 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, truth ), :=( Z, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 247, [ =( truth, implies( truth, implies( X, implies( Y, X ) ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 238, [ =( truth, implies( truth, implies( implies( truth, Y )
% 0.43/1.07 , implies( X, Y ) ) ) ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.43/1.07 :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 249, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 247, [ =( truth, implies( truth, implies( X, implies( Y, X ) )
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 250, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.43/1.07 , clause( 249, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.43/1.07 , clause( 250, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 252, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.43/1.07 , implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 257, [ =( truth, implies( truth, implies( implies( implies( Y, X )
% 0.43/1.07 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.43/1.07 , 0, clause( 252, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.43/1.07 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.43/1.07 :=( X, X ), :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 262, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.43/1.07 , Z ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 257, [ =( truth, implies( truth, implies( implies( implies( Y
% 0.43/1.07 , X ), Z ), implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.43/1.07 implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z
% 0.43/1.07 , Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 263, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , clause( 262, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.43/1.07 Y, Z ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 62, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , clause( 263, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 265, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.43/1.07 , Z ) ) ) ] )
% 0.43/1.07 , clause( 62, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 267, [ =( truth, implies( truth, implies( not( truth ), X ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, clause( 265, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.43/1.07 implies( Y, Z ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.43/1.07 ) ), :=( Y, not( truth ) ), :=( Z, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 272, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 267, [ =( truth, implies( truth, implies( not( truth ), X ) )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, implies( not( truth ), X ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 273, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/1.07 , clause( 272, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 71, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/1.07 , clause( 273, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 275, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.43/1.07 , Z ) ) ) ] )
% 0.43/1.07 , clause( 62, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 278, [ =( truth, implies( truth, implies( not( Y ), implies( Y, X )
% 0.43/1.07 ) ) ) ] )
% 0.43/1.07 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , 0, clause( 275, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.43/1.07 implies( Y, Z ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.43/1.07 :=( X, not( X ) ), :=( Y, not( Y ) ), :=( Z, implies( Y, X ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 283, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 278, [ =( truth, implies( truth, implies( not( Y ), implies( Y
% 0.43/1.07 , X ) ) ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) )] )
% 0.43/1.07 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 284, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.43/1.07 , clause( 283, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 72, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.43/1.07 , clause( 284, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 288, [ =( implies( implies( X, not( truth ) ), not( truth ) ),
% 0.43/1.07 implies( truth, X ) ) ] )
% 0.43/1.07 , clause( 71, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/1.07 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.43/1.07 ), X ) ) ] )
% 0.43/1.07 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, not( truth ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 289, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 288, [ =( implies( implies( X, not( truth ) ), not( truth ) )
% 0.43/1.07 , implies( truth, X ) ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 75, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 289, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 292, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.43/1.07 , clause( 72, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 293, [ =( truth, implies( not( implies( X, not( truth ) ) ), X ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 75, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, clause( 292, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.43/1.07 X, not( truth ) ) ), :=( Y, not( truth ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 294, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 293, [ =( truth, implies( not( implies( X, not( truth ) ) ), X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 85, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 294, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 296, [ =( truth, implies( implies( not( X ), not( Y ) ), implies( Y
% 0.43/1.07 , X ) ) ) ] )
% 0.43/1.07 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 298, [ =( truth, implies( truth, implies( X, implies( not( X ), not(
% 0.43/1.07 truth ) ) ) ) ) ] )
% 0.43/1.07 , clause( 85, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, clause( 296, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.43/1.07 implies( Y, X ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.43/1.07 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 300, [ =( truth, implies( X, implies( not( X ), not( truth ) ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 298, [ =( truth, implies( truth, implies( X, implies( not( X )
% 0.43/1.07 , not( truth ) ) ) ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( not( X ), not( truth
% 0.43/1.07 ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 301, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 300, [ =( truth, implies( X, implies( not( X ), not( truth ) ) )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 93, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 301, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 307, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.43/1.07 , X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.43/1.07 , clause( 93, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.43/1.07 ), X ) ) ] )
% 0.43/1.07 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.43/1.07 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 308, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.43/1.07 , X ), implies( not( X ), not( truth ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 307, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.43/1.07 , X ), X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.43/1.07 , 0, 10, substitution( 0, [ :=( X, implies( not( X ), not( truth ) ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 309, [ =( implies( truth, X ), implies( not( X ), not( truth ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, clause( 308, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.43/1.07 , X ), X ), implies( not( X ), not( truth ) ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 310, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 309, [ =( implies( truth, X ), implies( not( X ), not( truth )
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 311, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/1.07 , clause( 310, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 98, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/1.07 , clause( 311, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 313, [ =( X, implies( implies( X, not( truth ) ), not( truth ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 75, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 314, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.43/1.07 , clause( 98, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/1.07 , 0, clause( 313, [ =( X, implies( implies( X, not( truth ) ), not( truth )
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.43/1.07 ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 315, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/1.07 , clause( 314, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/1.07 , clause( 315, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 316, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.43/1.07 , clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 318, [ =( not( not( X ) ), X ) ] )
% 0.43/1.07 , clause( 98, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/1.07 , 0, clause( 316, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.43/1.07 ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 105, [ =( not( not( X ) ), X ) ] )
% 0.43/1.07 , clause( 318, [ =( not( not( X ) ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 321, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.43/1.07 , implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 325, [ =( truth, implies( implies( X, Y ), implies( implies( Y, not(
% 0.43/1.07 truth ) ), not( X ) ) ) ) ] )
% 0.43/1.07 , clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 321, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.43/1.07 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/1.07 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, not( truth ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 327, [ =( truth, implies( implies( X, Y ), implies( not( Y ), not(
% 0.43/1.07 X ) ) ) ) ] )
% 0.43/1.07 , clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 325, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.43/1.07 , not( truth ) ), not( X ) ) ) ) ] )
% 0.43/1.07 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 328, [ =( implies( implies( X, Y ), implies( not( Y ), not( X ) ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , clause( 327, [ =( truth, implies( implies( X, Y ), implies( not( Y ), not(
% 0.43/1.07 X ) ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 107, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , clause( 328, [ =( implies( implies( X, Y ), implies( not( Y ), not( X ) )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 332, [ =( implies( truth, implies( not( Y ), not( X ) ) ), implies(
% 0.43/1.07 X, Y ) ) ] )
% 0.43/1.07 , clause( 107, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , 0, clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X )
% 0.43/1.07 , not( Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.43/1.07 :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 333, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.43/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/1.07 , 0, clause( 332, [ =( implies( truth, implies( not( Y ), not( X ) ) ),
% 0.43/1.07 implies( X, Y ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, implies( not( X ), not( Y ) ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.43/1.07 , clause( 333, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 336, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ] )
% 0.43/1.07 , clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 337, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 0.43/1.07 , clause( 105, [ =( not( not( X ) ), X ) ] )
% 0.43/1.07 , 0, clause( 336, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, not( Y
% 0.43/1.07 ) ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 159, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 0.43/1.07 , clause( 337, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 340, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.43/1.07 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 343, [ =( truth, implies( not( X ), implies( implies( Y, X ), not(
% 0.43/1.07 Y ) ) ) ) ] )
% 0.43/1.07 , clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.43/1.07 , 0, clause( 340, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.43/1.07 :=( X, not( X ) ), :=( Y, not( Y ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 344, [ =( implies( not( X ), implies( implies( Y, X ), not( Y ) ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , clause( 343, [ =( truth, implies( not( X ), implies( implies( Y, X ), not(
% 0.43/1.07 Y ) ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 162, [ =( implies( not( X ), implies( implies( Y, X ), not( Y ) ) )
% 0.43/1.07 , truth ) ] )
% 0.43/1.07 , clause( 344, [ =( implies( not( X ), implies( implies( Y, X ), not( Y ) )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 345, [ ~( =( truth, implies( not( a ), implies( b, not( implies( b
% 0.43/1.07 , a ) ) ) ) ) ) ] )
% 0.43/1.07 , clause( 4, [ ~( =( implies( not( a ), implies( b, not( implies( b, a ) )
% 0.43/1.07 ) ), truth ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 347, [ ~( =( truth, implies( not( a ), implies( implies( b, a ),
% 0.43/1.07 not( b ) ) ) ) ) ] )
% 0.43/1.07 , clause( 159, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 0.43/1.07 , 0, clause( 345, [ ~( =( truth, implies( not( a ), implies( b, not(
% 0.43/1.07 implies( b, a ) ) ) ) ) ) ] )
% 0.43/1.07 , 0, 6, substitution( 0, [ :=( X, b ), :=( Y, implies( b, a ) )] ),
% 0.43/1.07 substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 349, [ ~( =( truth, truth ) ) ] )
% 0.43/1.07 , clause( 162, [ =( implies( not( X ), implies( implies( Y, X ), not( Y ) )
% 0.43/1.07 ), truth ) ] )
% 0.43/1.07 , 0, clause( 347, [ ~( =( truth, implies( not( a ), implies( implies( b, a
% 0.43/1.07 ), not( b ) ) ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqrefl(
% 0.43/1.07 clause( 350, [] )
% 0.43/1.07 , clause( 349, [ ~( =( truth, truth ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 173, [] )
% 0.43/1.07 , clause( 350, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 2249
% 0.43/1.07 space for clauses: 19372
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 1379
% 0.43/1.07 clauses kept: 174
% 0.43/1.07 clauses selected: 34
% 0.43/1.07 clauses deleted: 15
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 413
% 0.43/1.07 literals s-matched: 148
% 0.43/1.07 literals matched: 146
% 0.43/1.07 full subsumption: 0
% 0.43/1.07
% 0.43/1.07 checksum: 634693918
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------