TSTP Solution File: LCL112-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL112-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 07:50:31 EDT 2022
% Result : Unsatisfiable 0.43s 0.81s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL112-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.07 % Command : bliksem %s
% 0.06/0.25 % Computer : n016.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % DateTime : Sun Jul 3 09:48:45 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.43/0.81 *** allocated 10000 integers for termspace/termends
% 0.43/0.81 *** allocated 10000 integers for clauses
% 0.43/0.81 *** allocated 10000 integers for justifications
% 0.43/0.81 Bliksem 1.12
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 Automatic Strategy Selection
% 0.43/0.81
% 0.43/0.81 Clauses:
% 0.43/0.81 [
% 0.43/0.81 [ =( implies( truth, X ), X ) ],
% 0.43/0.81 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.43/0.81 ) ), truth ) ],
% 0.43/0.81 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.43/0.81 ,
% 0.43/0.81 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.43/0.81 ],
% 0.43/0.81 [ ~( =( implies( x, not( not( x ) ) ), truth ) ) ]
% 0.43/0.81 ] .
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/0.81 This is a pure equality problem
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 Options Used:
% 0.43/0.81
% 0.43/0.81 useres = 1
% 0.43/0.81 useparamod = 1
% 0.43/0.81 useeqrefl = 1
% 0.43/0.81 useeqfact = 1
% 0.43/0.81 usefactor = 1
% 0.43/0.81 usesimpsplitting = 0
% 0.43/0.81 usesimpdemod = 5
% 0.43/0.81 usesimpres = 3
% 0.43/0.81
% 0.43/0.81 resimpinuse = 1000
% 0.43/0.81 resimpclauses = 20000
% 0.43/0.81 substype = eqrewr
% 0.43/0.81 backwardsubs = 1
% 0.43/0.81 selectoldest = 5
% 0.43/0.81
% 0.43/0.81 litorderings [0] = split
% 0.43/0.81 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/0.81
% 0.43/0.81 termordering = kbo
% 0.43/0.81
% 0.43/0.81 litapriori = 0
% 0.43/0.81 termapriori = 1
% 0.43/0.81 litaposteriori = 0
% 0.43/0.81 termaposteriori = 0
% 0.43/0.81 demodaposteriori = 0
% 0.43/0.81 ordereqreflfact = 0
% 0.43/0.81
% 0.43/0.81 litselect = negord
% 0.43/0.81
% 0.43/0.81 maxweight = 15
% 0.43/0.81 maxdepth = 30000
% 0.43/0.81 maxlength = 115
% 0.43/0.81 maxnrvars = 195
% 0.43/0.81 excuselevel = 1
% 0.43/0.81 increasemaxweight = 1
% 0.43/0.81
% 0.43/0.81 maxselected = 10000000
% 0.43/0.81 maxnrclauses = 10000000
% 0.43/0.81
% 0.43/0.81 showgenerated = 0
% 0.43/0.81 showkept = 0
% 0.43/0.81 showselected = 0
% 0.43/0.81 showdeleted = 0
% 0.43/0.81 showresimp = 1
% 0.43/0.81 showstatus = 2000
% 0.43/0.81
% 0.43/0.81 prologoutput = 1
% 0.43/0.81 nrgoals = 5000000
% 0.43/0.81 totalproof = 1
% 0.43/0.81
% 0.43/0.81 Symbols occurring in the translation:
% 0.43/0.81
% 0.43/0.81 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/0.81 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.43/0.81 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.43/0.81 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/0.81 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/0.81 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/0.81 implies [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.43/0.81 not [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/0.81 x [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 Starting Search:
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 Bliksems!, er is een bewijs:
% 0.43/0.81 % SZS status Unsatisfiable
% 0.43/0.81 % SZS output start Refutation
% 0.43/0.81
% 0.43/0.81 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.43/0.81 X, Z ) ) ), truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.43/0.81 ) ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.43/0.81 truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 4, [ ~( =( implies( x, not( not( x ) ) ), truth ) ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.43/0.81 )
% 0.43/0.81 .
% 0.43/0.81 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 .
% 0.43/0.81 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.43/0.81 , truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 60, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 66, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 69, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.43/0.81 )
% 0.43/0.81 .
% 0.43/0.81 clause( 79, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 .
% 0.43/0.81 clause( 87, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 .
% 0.43/0.81 clause( 92, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 93, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 99, [ =( not( not( X ) ), X ) ] )
% 0.43/0.81 .
% 0.43/0.81 clause( 102, [] )
% 0.43/0.81 .
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 % SZS output end Refutation
% 0.43/0.81 found a proof!
% 0.43/0.81
% 0.43/0.81 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/0.81
% 0.43/0.81 initialclauses(
% 0.43/0.81 [ clause( 104, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , clause( 105, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/0.81 implies( X, Z ) ) ), truth ) ] )
% 0.43/0.81 , clause( 106, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.43/0.81 , X ) ) ] )
% 0.43/0.81 , clause( 107, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.43/0.81 ), truth ) ] )
% 0.43/0.81 , clause( 108, [ ~( =( implies( x, not( not( x ) ) ), truth ) ) ] )
% 0.43/0.81 ] ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , clause( 104, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.43/0.81 X, Z ) ) ), truth ) ] )
% 0.43/0.81 , clause( 105, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/0.81 implies( X, Z ) ) ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/0.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.43/0.81 ) ) ] )
% 0.43/0.81 , clause( 106, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.43/0.81 , X ) ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/0.81 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.43/0.81 truth ) ] )
% 0.43/0.81 , clause( 107, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.43/0.81 ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/0.81 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 4, [ ~( =( implies( x, not( not( x ) ) ), truth ) ) ] )
% 0.43/0.81 , clause( 108, [ ~( =( implies( x, not( not( x ) ) ), truth ) ) ] )
% 0.43/0.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 122, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.43/0.81 ), X ) ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.43/0.81 , :=( Y, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.43/0.81 )
% 0.43/0.81 , clause( 122, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.43/0.81 ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 125, [ =( truth, implies( implies( not( X ), not( Y ) ), implies( Y
% 0.43/0.81 , X ) ) ) ] )
% 0.43/0.81 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.43/0.81 , truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 126, [ =( truth, implies( implies( not( X ), not( truth ) ), X ) )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 125, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.43/0.81 implies( Y, X ) ) ) ] )
% 0.43/0.81 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/0.81 :=( Y, truth )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 127, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 126, [ =( truth, implies( implies( not( X ), not( truth ) ), X )
% 0.43/0.81 ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 , clause( 127, [ =( implies( implies( not( X ), not( truth ) ), X ), truth
% 0.43/0.81 ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 129, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.43/0.81 , implies( X, Z ) ) ) ) ] )
% 0.43/0.81 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/0.81 implies( X, Z ) ) ), truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 133, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.43/0.81 , Y ), Y ) ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 129, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.43/0.81 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/0.81 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.43/0.81 ), :=( Y, X ), :=( Z, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 135, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 133, [ =( truth, implies( implies( truth, X ), implies(
% 0.43/0.81 implies( X, Y ), Y ) ) ) ] )
% 0.43/0.81 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/0.81 :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 136, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.43/0.81 , clause( 135, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.43/0.81 )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.43/0.81 , clause( 136, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/0.81 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 137, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.43/0.81 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 141, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 137, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.43/0.81 , :=( Y, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 143, [ =( truth, implies( X, X ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 141, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.43/0.81 :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 144, [ =( implies( X, X ), truth ) ] )
% 0.43/0.81 , clause( 143, [ =( truth, implies( X, X ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.43/0.81 , clause( 144, [ =( implies( X, X ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 145, [ =( truth, implies( X, X ) ) ] )
% 0.43/0.81 , clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 147, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.43/0.81 , clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, clause( 145, [ =( truth, implies( X, X ) ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/0.81 ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 148, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/0.81 , clause( 147, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/0.81 , clause( 148, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 150, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.43/0.81 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 151, [ =( truth, implies( X, truth ) ) ] )
% 0.43/0.81 , clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.43/0.81 , 0, clause( 150, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/0.81 :=( Y, truth )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 153, [ =( implies( X, truth ), truth ) ] )
% 0.43/0.81 , clause( 151, [ =( truth, implies( X, truth ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.43/0.81 , clause( 153, [ =( implies( X, truth ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 156, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.43/0.81 , implies( X, Z ) ) ) ) ] )
% 0.43/0.81 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/0.81 implies( X, Z ) ) ), truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 159, [ =( truth, implies( truth, implies( implies( truth, Y ),
% 0.43/0.81 implies( X, Y ) ) ) ) ] )
% 0.43/0.81 , clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.43/0.81 , 0, clause( 156, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.43/0.81 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/0.81 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/0.81 :=( Y, truth ), :=( Z, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 168, [ =( truth, implies( truth, implies( X, implies( Y, X ) ) ) )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 159, [ =( truth, implies( truth, implies( implies( truth, Y )
% 0.43/0.81 , implies( X, Y ) ) ) ) ] )
% 0.43/0.81 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.43/0.81 :=( Y, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 170, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 168, [ =( truth, implies( truth, implies( X, implies( Y, X ) )
% 0.43/0.81 ) ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) )] ),
% 0.43/0.81 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 171, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.43/0.81 , clause( 170, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.43/0.81 , clause( 171, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/0.81 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 173, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.43/0.81 , implies( X, Z ) ) ) ) ] )
% 0.43/0.81 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.43/0.81 implies( X, Z ) ) ), truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 178, [ =( truth, implies( truth, implies( implies( implies( Y, X )
% 0.43/0.81 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/0.81 , clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.43/0.81 , 0, clause( 173, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.43/0.81 , Z ), implies( X, Z ) ) ) ) ] )
% 0.43/0.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.43/0.81 :=( X, X ), :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 183, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.43/0.81 , Z ) ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 178, [ =( truth, implies( truth, implies( implies( implies( Y
% 0.43/0.81 , X ), Z ), implies( X, Z ) ) ) ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.43/0.81 implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z
% 0.43/0.81 , Z )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 184, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z ) )
% 0.43/0.81 , truth ) ] )
% 0.43/0.81 , clause( 183, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.43/0.81 Y, Z ) ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.43/0.81 , truth ) ] )
% 0.43/0.81 , clause( 184, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z )
% 0.43/0.81 ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.43/0.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 186, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.43/0.81 , Z ) ) ) ] )
% 0.43/0.81 , clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.43/0.81 ), truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 188, [ =( truth, implies( truth, implies( not( truth ), X ) ) ) ]
% 0.43/0.81 )
% 0.43/0.81 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, clause( 186, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.43/0.81 implies( Y, Z ) ) ) ] )
% 0.43/0.81 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.43/0.81 ) ), :=( Y, not( truth ) ), :=( Z, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 193, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 188, [ =( truth, implies( truth, implies( not( truth ), X ) )
% 0.43/0.81 ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, implies( not( truth ), X ) )] ),
% 0.43/0.81 substitution( 1, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 194, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/0.81 , clause( 193, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 60, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/0.81 , clause( 194, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 196, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.43/0.81 , Z ) ) ) ] )
% 0.43/0.81 , clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.43/0.81 ), truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 199, [ =( truth, implies( truth, implies( not( Y ), implies( Y, X )
% 0.43/0.81 ) ) ) ] )
% 0.43/0.81 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.43/0.81 , truth ) ] )
% 0.43/0.81 , 0, clause( 196, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.43/0.81 implies( Y, Z ) ) ) ] )
% 0.43/0.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.43/0.81 :=( X, not( X ) ), :=( Y, not( Y ) ), :=( Z, implies( Y, X ) )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 204, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 199, [ =( truth, implies( truth, implies( not( Y ), implies( Y
% 0.43/0.81 , X ) ) ) ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) )] )
% 0.43/0.81 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 205, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.43/0.81 , clause( 204, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 66, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.43/0.81 , clause( 205, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/0.81 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 209, [ =( implies( implies( X, not( truth ) ), not( truth ) ),
% 0.43/0.81 implies( truth, X ) ) ] )
% 0.43/0.81 , clause( 60, [ =( implies( not( truth ), X ), truth ) ] )
% 0.43/0.81 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.43/0.81 ), X ) ) ] )
% 0.43/0.81 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/0.81 :=( Y, not( truth ) )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 210, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 209, [ =( implies( implies( X, not( truth ) ), not( truth ) )
% 0.43/0.81 , implies( truth, X ) ) ] )
% 0.43/0.81 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/0.81 ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 69, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.43/0.81 )
% 0.43/0.81 , clause( 210, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X
% 0.43/0.81 ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 213, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.43/0.81 , clause( 66, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 214, [ =( truth, implies( not( implies( X, not( truth ) ) ), X ) )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 69, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, clause( 213, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.43/0.81 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.43/0.81 X, not( truth ) ) ), :=( Y, not( truth ) )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 215, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 214, [ =( truth, implies( not( implies( X, not( truth ) ) ), X )
% 0.43/0.81 ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 79, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 , clause( 215, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth
% 0.43/0.81 ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 217, [ =( truth, implies( implies( not( X ), not( Y ) ), implies( Y
% 0.43/0.81 , X ) ) ) ] )
% 0.43/0.81 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.43/0.81 , truth ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 219, [ =( truth, implies( truth, implies( X, implies( not( X ), not(
% 0.43/0.81 truth ) ) ) ) ) ] )
% 0.43/0.81 , clause( 79, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, clause( 217, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.43/0.81 implies( Y, X ) ) ) ] )
% 0.43/0.81 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.43/0.81 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 221, [ =( truth, implies( X, implies( not( X ), not( truth ) ) ) )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 219, [ =( truth, implies( truth, implies( X, implies( not( X )
% 0.43/0.81 , not( truth ) ) ) ) ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( not( X ), not( truth
% 0.43/0.81 ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 222, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 221, [ =( truth, implies( X, implies( not( X ), not( truth ) ) )
% 0.43/0.81 ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 87, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.43/0.81 )
% 0.43/0.81 , clause( 222, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth
% 0.43/0.81 ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 228, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.43/0.81 , X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.43/0.81 , clause( 87, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.43/0.81 ), X ) ) ] )
% 0.43/0.81 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.43/0.81 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 229, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.43/0.81 , X ), implies( not( X ), not( truth ) ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 228, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.43/0.81 , X ), X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.43/0.81 , 0, 10, substitution( 0, [ :=( X, implies( not( X ), not( truth ) ) )] ),
% 0.43/0.81 substitution( 1, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 230, [ =( implies( truth, X ), implies( not( X ), not( truth ) ) )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, clause( 229, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.43/0.81 , X ), X ), implies( not( X ), not( truth ) ) ) ] )
% 0.43/0.81 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/0.81 ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 231, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.43/0.81 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.43/0.81 , 0, clause( 230, [ =( implies( truth, X ), implies( not( X ), not( truth )
% 0.43/0.81 ) ) ] )
% 0.43/0.81 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/0.81 ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 232, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/0.81 , clause( 231, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 92, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/0.81 , clause( 232, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 234, [ =( X, implies( implies( X, not( truth ) ), not( truth ) ) )
% 0.43/0.81 ] )
% 0.43/0.81 , clause( 69, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.43/0.81 ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 235, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.43/0.81 , clause( 92, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/0.81 , 0, clause( 234, [ =( X, implies( implies( X, not( truth ) ), not( truth )
% 0.43/0.81 ) ) ] )
% 0.43/0.81 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.43/0.81 ) )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 236, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/0.81 , clause( 235, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 93, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/0.81 , clause( 236, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 237, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.43/0.81 , clause( 93, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 239, [ =( not( not( X ) ), X ) ] )
% 0.43/0.81 , clause( 92, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.43/0.81 , 0, clause( 237, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.43/0.81 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.43/0.81 ) )] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 99, [ =( not( not( X ) ), X ) ] )
% 0.43/0.81 , clause( 239, [ =( not( not( X ) ), X ) ] )
% 0.43/0.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqswap(
% 0.43/0.81 clause( 242, [ ~( =( truth, implies( x, not( not( x ) ) ) ) ) ] )
% 0.43/0.81 , clause( 4, [ ~( =( implies( x, not( not( x ) ) ), truth ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 244, [ ~( =( truth, implies( x, x ) ) ) ] )
% 0.43/0.81 , clause( 99, [ =( not( not( X ) ), X ) ] )
% 0.43/0.81 , 0, clause( 242, [ ~( =( truth, implies( x, not( not( x ) ) ) ) ) ] )
% 0.43/0.81 , 0, 5, substitution( 0, [ :=( X, x )] ), substitution( 1, [] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 paramod(
% 0.43/0.81 clause( 245, [ ~( =( truth, truth ) ) ] )
% 0.43/0.81 , clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.43/0.81 , 0, clause( 244, [ ~( =( truth, implies( x, x ) ) ) ] )
% 0.43/0.81 , 0, 3, substitution( 0, [ :=( X, x )] ), substitution( 1, [] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 eqrefl(
% 0.43/0.81 clause( 246, [] )
% 0.43/0.81 , clause( 245, [ ~( =( truth, truth ) ) ] )
% 0.43/0.81 , 0, substitution( 0, [] )).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 subsumption(
% 0.43/0.81 clause( 102, [] )
% 0.43/0.81 , clause( 246, [] )
% 0.43/0.81 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 end.
% 0.43/0.81
% 0.43/0.81 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/0.81
% 0.43/0.81 Memory use:
% 0.43/0.81
% 0.43/0.81 space for terms: 1350
% 0.43/0.81 space for clauses: 11902
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 clauses generated: 585
% 0.43/0.81 clauses kept: 103
% 0.43/0.81 clauses selected: 23
% 0.43/0.81 clauses deleted: 7
% 0.43/0.81 clauses inuse deleted: 0
% 0.43/0.81
% 0.43/0.81 subsentry: 341
% 0.43/0.81 literals s-matched: 120
% 0.43/0.81 literals matched: 120
% 0.43/0.81 full subsumption: 0
% 0.43/0.81
% 0.43/0.81 checksum: 1093023022
% 0.43/0.81
% 0.43/0.81
% 0.43/0.81 Bliksem ended
%------------------------------------------------------------------------------