TSTP Solution File: LCL115-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL115-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:50:33 EDT 2022
% Result : Unsatisfiable 0.75s 1.14s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL115-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jul 3 14:09:00 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.75/1.14 *** allocated 10000 integers for termspace/termends
% 0.75/1.14 *** allocated 10000 integers for clauses
% 0.75/1.14 *** allocated 10000 integers for justifications
% 0.75/1.14 Bliksem 1.12
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Automatic Strategy Selection
% 0.75/1.14
% 0.75/1.14 Clauses:
% 0.75/1.14 [
% 0.75/1.14 [ =( implies( truth, X ), X ) ],
% 0.75/1.14 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.75/1.14 ) ), truth ) ],
% 0.75/1.14 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.75/1.14 ,
% 0.75/1.14 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.75/1.14 ],
% 0.75/1.14 [ ~( =( implies( not( implies( a, b ) ), not( b ) ), truth ) ) ]
% 0.75/1.14 ] .
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.14 This is a pure equality problem
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Options Used:
% 0.75/1.14
% 0.75/1.14 useres = 1
% 0.75/1.14 useparamod = 1
% 0.75/1.14 useeqrefl = 1
% 0.75/1.14 useeqfact = 1
% 0.75/1.14 usefactor = 1
% 0.75/1.14 usesimpsplitting = 0
% 0.75/1.14 usesimpdemod = 5
% 0.75/1.14 usesimpres = 3
% 0.75/1.14
% 0.75/1.14 resimpinuse = 1000
% 0.75/1.14 resimpclauses = 20000
% 0.75/1.14 substype = eqrewr
% 0.75/1.14 backwardsubs = 1
% 0.75/1.14 selectoldest = 5
% 0.75/1.14
% 0.75/1.14 litorderings [0] = split
% 0.75/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.14
% 0.75/1.14 termordering = kbo
% 0.75/1.14
% 0.75/1.14 litapriori = 0
% 0.75/1.14 termapriori = 1
% 0.75/1.14 litaposteriori = 0
% 0.75/1.14 termaposteriori = 0
% 0.75/1.14 demodaposteriori = 0
% 0.75/1.14 ordereqreflfact = 0
% 0.75/1.14
% 0.75/1.14 litselect = negord
% 0.75/1.14
% 0.75/1.14 maxweight = 15
% 0.75/1.14 maxdepth = 30000
% 0.75/1.14 maxlength = 115
% 0.75/1.14 maxnrvars = 195
% 0.75/1.14 excuselevel = 1
% 0.75/1.14 increasemaxweight = 1
% 0.75/1.14
% 0.75/1.14 maxselected = 10000000
% 0.75/1.14 maxnrclauses = 10000000
% 0.75/1.14
% 0.75/1.14 showgenerated = 0
% 0.75/1.14 showkept = 0
% 0.75/1.14 showselected = 0
% 0.75/1.14 showdeleted = 0
% 0.75/1.14 showresimp = 1
% 0.75/1.14 showstatus = 2000
% 0.75/1.14
% 0.75/1.14 prologoutput = 1
% 0.75/1.14 nrgoals = 5000000
% 0.75/1.14 totalproof = 1
% 0.75/1.14
% 0.75/1.14 Symbols occurring in the translation:
% 0.75/1.14
% 0.75/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.14 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.14 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.75/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.75/1.14 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.14 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.14 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.14 b [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Starting Search:
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Bliksems!, er is een bewijs:
% 0.75/1.14 % SZS status Unsatisfiable
% 0.75/1.14 % SZS output start Refutation
% 0.75/1.14
% 0.75/1.14 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.75/1.14 X, Z ) ) ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.75/1.14 ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.75/1.14 truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 4, [ ~( =( implies( not( implies( a, b ) ), not( b ) ), truth ) ) ]
% 0.75/1.14 )
% 0.75/1.14 .
% 0.75/1.14 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.75/1.14 )
% 0.75/1.14 .
% 0.75/1.14 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.75/1.14 )
% 0.75/1.14 .
% 0.75/1.14 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.75/1.14 , truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 60, [ =( implies( not( truth ), X ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 66, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 69, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.75/1.14 )
% 0.75/1.14 .
% 0.75/1.14 clause( 79, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.75/1.14 )
% 0.75/1.14 .
% 0.75/1.14 clause( 87, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.75/1.14 )
% 0.75/1.14 .
% 0.75/1.14 clause( 92, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 93, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 100, [ =( implies( not( implies( X, Y ) ), not( Y ) ), truth ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 106, [] )
% 0.75/1.14 .
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 % SZS output end Refutation
% 0.75/1.14 found a proof!
% 0.75/1.14
% 0.75/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.14
% 0.75/1.14 initialclauses(
% 0.75/1.14 [ clause( 108, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , clause( 109, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.75/1.14 implies( X, Z ) ) ), truth ) ] )
% 0.75/1.14 , clause( 110, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.75/1.14 , X ) ) ] )
% 0.75/1.14 , clause( 111, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.75/1.14 ), truth ) ] )
% 0.75/1.14 , clause( 112, [ ~( =( implies( not( implies( a, b ) ), not( b ) ), truth )
% 0.75/1.14 ) ] )
% 0.75/1.14 ] ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , clause( 108, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.75/1.14 X, Z ) ) ), truth ) ] )
% 0.75/1.14 , clause( 109, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.75/1.14 implies( X, Z ) ) ), truth ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.75/1.14 ) ) ] )
% 0.75/1.14 , clause( 110, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.75/1.14 , X ) ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.14 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.75/1.14 truth ) ] )
% 0.75/1.14 , clause( 111, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.75/1.14 ), truth ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.14 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 4, [ ~( =( implies( not( implies( a, b ) ), not( b ) ), truth ) ) ]
% 0.75/1.14 )
% 0.75/1.14 , clause( 112, [ ~( =( implies( not( implies( a, b ) ), not( b ) ), truth )
% 0.75/1.14 ) ] )
% 0.75/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 126, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.75/1.14 ] )
% 0.75/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.75/1.14 ), X ) ) ] )
% 0.75/1.14 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.75/1.14 , :=( Y, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.75/1.14 )
% 0.75/1.14 , clause( 126, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.75/1.14 ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 129, [ =( truth, implies( implies( not( X ), not( Y ) ), implies( Y
% 0.75/1.14 , X ) ) ) ] )
% 0.75/1.14 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.75/1.14 , truth ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 130, [ =( truth, implies( implies( not( X ), not( truth ) ), X ) )
% 0.75/1.14 ] )
% 0.75/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , 0, clause( 129, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.75/1.14 implies( Y, X ) ) ) ] )
% 0.75/1.14 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.14 :=( Y, truth )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 131, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.75/1.14 ] )
% 0.75/1.14 , clause( 130, [ =( truth, implies( implies( not( X ), not( truth ) ), X )
% 0.75/1.14 ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.75/1.14 )
% 0.75/1.14 , clause( 131, [ =( implies( implies( not( X ), not( truth ) ), X ), truth
% 0.75/1.14 ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 133, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.75/1.14 , implies( X, Z ) ) ) ) ] )
% 0.75/1.14 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.75/1.14 implies( X, Z ) ) ), truth ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 137, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.75/1.14 , Y ), Y ) ) ) ] )
% 0.75/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , 0, clause( 133, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.75/1.14 , Z ), implies( X, Z ) ) ) ) ] )
% 0.75/1.14 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.75/1.14 ), :=( Y, X ), :=( Z, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 139, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.75/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , 0, clause( 137, [ =( truth, implies( implies( truth, X ), implies(
% 0.75/1.14 implies( X, Y ), Y ) ) ) ] )
% 0.75/1.14 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.14 :=( Y, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 140, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.75/1.14 , clause( 139, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.75/1.14 )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.75/1.14 , clause( 140, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.75/1.14 )
% 0.75/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.14 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 141, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.75/1.14 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.75/1.14 )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 145, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.75/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , 0, clause( 141, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.75/1.14 ] )
% 0.75/1.14 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.75/1.14 , :=( Y, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 147, [ =( truth, implies( X, X ) ) ] )
% 0.75/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , 0, clause( 145, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.75/1.14 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.75/1.14 :=( X, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 148, [ =( implies( X, X ), truth ) ] )
% 0.75/1.14 , clause( 147, [ =( truth, implies( X, X ) ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.75/1.14 , clause( 148, [ =( implies( X, X ), truth ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 149, [ =( truth, implies( X, X ) ) ] )
% 0.75/1.14 , clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 151, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.75/1.14 , clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.75/1.14 ] )
% 0.75/1.14 , 0, clause( 149, [ =( truth, implies( X, X ) ) ] )
% 0.75/1.14 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.14 ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 152, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.75/1.14 , clause( 151, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.75/1.14 , clause( 152, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 154, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.75/1.14 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.75/1.14 )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 155, [ =( truth, implies( X, truth ) ) ] )
% 0.75/1.14 , clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.75/1.14 , 0, clause( 154, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.75/1.14 ] )
% 0.75/1.14 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.14 :=( Y, truth )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 157, [ =( implies( X, truth ), truth ) ] )
% 0.75/1.14 , clause( 155, [ =( truth, implies( X, truth ) ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.75/1.14 , clause( 157, [ =( implies( X, truth ), truth ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 160, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.75/1.14 , implies( X, Z ) ) ) ) ] )
% 0.75/1.14 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.75/1.14 implies( X, Z ) ) ), truth ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 163, [ =( truth, implies( truth, implies( implies( truth, Y ),
% 0.75/1.14 implies( X, Y ) ) ) ) ] )
% 0.75/1.14 , clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.75/1.14 , 0, clause( 160, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.75/1.14 , Z ), implies( X, Z ) ) ) ) ] )
% 0.75/1.14 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.14 :=( Y, truth ), :=( Z, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 172, [ =( truth, implies( truth, implies( X, implies( Y, X ) ) ) )
% 0.75/1.14 ] )
% 0.75/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , 0, clause( 163, [ =( truth, implies( truth, implies( implies( truth, Y )
% 0.75/1.14 , implies( X, Y ) ) ) ) ] )
% 0.75/1.14 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.75/1.14 :=( Y, X )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 paramod(
% 0.75/1.14 clause( 174, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.75/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.75/1.14 , 0, clause( 172, [ =( truth, implies( truth, implies( X, implies( Y, X ) )
% 0.75/1.14 ) ) ] )
% 0.75/1.14 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) )] ),
% 0.75/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 eqswap(
% 0.75/1.14 clause( 175, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.75/1.14 , clause( 174, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.75/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.75/1.14 , clause( 175, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.14 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 177, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.79/1.14 , implies( X, Z ) ) ) ) ] )
% 0.79/1.14 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.79/1.14 implies( X, Z ) ) ), truth ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 182, [ =( truth, implies( truth, implies( implies( implies( Y, X )
% 0.79/1.14 , Z ), implies( X, Z ) ) ) ) ] )
% 0.79/1.14 , clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.79/1.14 , 0, clause( 177, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.79/1.14 , Z ), implies( X, Z ) ) ) ) ] )
% 0.79/1.14 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.79/1.14 :=( X, X ), :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 187, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.79/1.14 , Z ) ) ) ] )
% 0.79/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.79/1.14 , 0, clause( 182, [ =( truth, implies( truth, implies( implies( implies( Y
% 0.79/1.14 , X ), Z ), implies( X, Z ) ) ) ) ] )
% 0.79/1.14 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.79/1.14 implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z
% 0.79/1.14 , Z )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 188, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z ) )
% 0.79/1.14 , truth ) ] )
% 0.79/1.14 , clause( 187, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.79/1.14 Y, Z ) ) ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.79/1.14 , truth ) ] )
% 0.79/1.14 , clause( 188, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z )
% 0.79/1.14 ), truth ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.79/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 190, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.79/1.14 , Z ) ) ) ] )
% 0.79/1.14 , clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.79/1.14 ), truth ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 192, [ =( truth, implies( truth, implies( not( truth ), X ) ) ) ]
% 0.79/1.14 )
% 0.79/1.14 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.79/1.14 ] )
% 0.79/1.14 , 0, clause( 190, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.79/1.14 implies( Y, Z ) ) ) ] )
% 0.79/1.14 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.79/1.14 ) ), :=( Y, not( truth ) ), :=( Z, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 197, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.79/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.79/1.14 , 0, clause( 192, [ =( truth, implies( truth, implies( not( truth ), X ) )
% 0.79/1.14 ) ] )
% 0.79/1.14 , 0, 2, substitution( 0, [ :=( X, implies( not( truth ), X ) )] ),
% 0.79/1.14 substitution( 1, [ :=( X, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 198, [ =( implies( not( truth ), X ), truth ) ] )
% 0.79/1.14 , clause( 197, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 60, [ =( implies( not( truth ), X ), truth ) ] )
% 0.79/1.14 , clause( 198, [ =( implies( not( truth ), X ), truth ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 200, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.79/1.14 , Z ) ) ) ] )
% 0.79/1.14 , clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.79/1.14 ), truth ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 203, [ =( truth, implies( truth, implies( not( Y ), implies( Y, X )
% 0.79/1.14 ) ) ) ] )
% 0.79/1.14 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.79/1.14 , truth ) ] )
% 0.79/1.14 , 0, clause( 200, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.79/1.14 implies( Y, Z ) ) ) ] )
% 0.79/1.14 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.14 :=( X, not( X ) ), :=( Y, not( Y ) ), :=( Z, implies( Y, X ) )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 208, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.79/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.79/1.14 , 0, clause( 203, [ =( truth, implies( truth, implies( not( Y ), implies( Y
% 0.79/1.14 , X ) ) ) ) ] )
% 0.79/1.14 , 0, 2, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) )] )
% 0.79/1.14 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 209, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.79/1.14 , clause( 208, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 66, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.79/1.14 , clause( 209, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.14 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 213, [ =( implies( implies( X, not( truth ) ), not( truth ) ),
% 0.79/1.14 implies( truth, X ) ) ] )
% 0.79/1.14 , clause( 60, [ =( implies( not( truth ), X ), truth ) ] )
% 0.79/1.14 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.79/1.14 ), X ) ) ] )
% 0.79/1.14 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.14 :=( Y, not( truth ) )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 214, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.79/1.14 ] )
% 0.79/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.79/1.14 , 0, clause( 213, [ =( implies( implies( X, not( truth ) ), not( truth ) )
% 0.79/1.14 , implies( truth, X ) ) ] )
% 0.79/1.14 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.14 ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 69, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.79/1.14 )
% 0.79/1.14 , clause( 214, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X
% 0.79/1.14 ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 217, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.79/1.14 , clause( 66, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 218, [ =( truth, implies( not( implies( X, not( truth ) ) ), X ) )
% 0.79/1.14 ] )
% 0.79/1.14 , clause( 69, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.79/1.14 ] )
% 0.79/1.14 , 0, clause( 217, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.79/1.14 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.79/1.14 X, not( truth ) ) ), :=( Y, not( truth ) )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 219, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.79/1.14 ] )
% 0.79/1.14 , clause( 218, [ =( truth, implies( not( implies( X, not( truth ) ) ), X )
% 0.79/1.14 ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 79, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.79/1.14 )
% 0.79/1.14 , clause( 219, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth
% 0.79/1.14 ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 221, [ =( truth, implies( implies( not( X ), not( Y ) ), implies( Y
% 0.79/1.14 , X ) ) ) ] )
% 0.79/1.14 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.79/1.14 , truth ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 223, [ =( truth, implies( truth, implies( X, implies( not( X ), not(
% 0.79/1.14 truth ) ) ) ) ) ] )
% 0.79/1.14 , clause( 79, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.79/1.14 ] )
% 0.79/1.14 , 0, clause( 221, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.79/1.14 implies( Y, X ) ) ) ] )
% 0.79/1.14 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.79/1.14 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 225, [ =( truth, implies( X, implies( not( X ), not( truth ) ) ) )
% 0.79/1.14 ] )
% 0.79/1.14 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.79/1.14 , 0, clause( 223, [ =( truth, implies( truth, implies( X, implies( not( X )
% 0.79/1.14 , not( truth ) ) ) ) ) ] )
% 0.79/1.14 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( not( X ), not( truth
% 0.79/1.14 ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 226, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.79/1.14 ] )
% 0.79/1.14 , clause( 225, [ =( truth, implies( X, implies( not( X ), not( truth ) ) )
% 0.79/1.14 ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 87, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.79/1.14 )
% 0.79/1.14 , clause( 226, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth
% 0.79/1.14 ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 paramod(
% 0.79/1.14 clause( 232, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.79/1.14 , X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.79/1.14 , clause( 87, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.79/1.15 ), X ) ) ] )
% 0.79/1.15 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.79/1.15 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 233, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.79/1.15 , X ), implies( not( X ), not( truth ) ) ) ] )
% 0.79/1.15 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.79/1.15 , 0, clause( 232, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.79/1.15 , X ), X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.79/1.15 , 0, 10, substitution( 0, [ :=( X, implies( not( X ), not( truth ) ) )] ),
% 0.79/1.15 substitution( 1, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 234, [ =( implies( truth, X ), implies( not( X ), not( truth ) ) )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, clause( 233, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.79/1.15 , X ), X ), implies( not( X ), not( truth ) ) ) ] )
% 0.79/1.15 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 235, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.79/1.15 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.79/1.15 , 0, clause( 234, [ =( implies( truth, X ), implies( not( X ), not( truth )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 236, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.79/1.15 , clause( 235, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 92, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.79/1.15 , clause( 236, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 238, [ =( X, implies( implies( X, not( truth ) ), not( truth ) ) )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 69, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 239, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.79/1.15 , clause( 92, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.79/1.15 , 0, clause( 238, [ =( X, implies( implies( X, not( truth ) ), not( truth )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.79/1.15 ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 240, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.79/1.15 , clause( 239, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 93, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.79/1.15 , clause( 240, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 242, [ =( truth, implies( implies( implies( X, Y ), Z ), implies( Y
% 0.79/1.15 , Z ) ) ) ] )
% 0.79/1.15 , clause( 53, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.79/1.15 ), truth ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 246, [ =( truth, implies( implies( implies( X, Y ), not( truth ) )
% 0.79/1.15 , not( Y ) ) ) ] )
% 0.79/1.15 , clause( 93, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.79/1.15 , 0, clause( 242, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.79/1.15 implies( Y, Z ) ) ) ] )
% 0.79/1.15 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, Y ), :=( Z, not( truth ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 248, [ =( truth, implies( not( implies( X, Y ) ), not( Y ) ) ) ] )
% 0.79/1.15 , clause( 93, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.79/1.15 , 0, clause( 246, [ =( truth, implies( implies( implies( X, Y ), not( truth
% 0.79/1.15 ) ), not( Y ) ) ) ] )
% 0.79/1.15 , 0, 3, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 249, [ =( implies( not( implies( X, Y ) ), not( Y ) ), truth ) ] )
% 0.79/1.15 , clause( 248, [ =( truth, implies( not( implies( X, Y ) ), not( Y ) ) ) ]
% 0.79/1.15 )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 100, [ =( implies( not( implies( X, Y ) ), not( Y ) ), truth ) ] )
% 0.79/1.15 , clause( 249, [ =( implies( not( implies( X, Y ) ), not( Y ) ), truth ) ]
% 0.79/1.15 )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 250, [ =( truth, implies( not( implies( X, Y ) ), not( Y ) ) ) ] )
% 0.79/1.15 , clause( 100, [ =( implies( not( implies( X, Y ) ), not( Y ) ), truth ) ]
% 0.79/1.15 )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 251, [ ~( =( truth, implies( not( implies( a, b ) ), not( b ) ) ) )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 4, [ ~( =( implies( not( implies( a, b ) ), not( b ) ), truth ) )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, substitution( 0, [] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 resolution(
% 0.79/1.15 clause( 252, [] )
% 0.79/1.15 , clause( 251, [ ~( =( truth, implies( not( implies( a, b ) ), not( b ) ) )
% 0.79/1.15 ) ] )
% 0.79/1.15 , 0, clause( 250, [ =( truth, implies( not( implies( X, Y ) ), not( Y ) ) )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 106, [] )
% 0.79/1.15 , clause( 252, [] )
% 0.79/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 end.
% 0.79/1.15
% 0.79/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.15
% 0.79/1.15 Memory use:
% 0.79/1.15
% 0.79/1.15 space for terms: 1403
% 0.79/1.15 space for clauses: 12272
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 clauses generated: 630
% 0.79/1.15 clauses kept: 107
% 0.79/1.15 clauses selected: 25
% 0.79/1.15 clauses deleted: 9
% 0.79/1.15 clauses inuse deleted: 0
% 0.79/1.15
% 0.79/1.15 subsentry: 350
% 0.79/1.15 literals s-matched: 121
% 0.79/1.15 literals matched: 121
% 0.79/1.15 full subsumption: 0
% 0.79/1.15
% 0.79/1.15 checksum: -225240695
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 Bliksem ended
%------------------------------------------------------------------------------