TSTP Solution File: LCL111-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL111-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:50:30 EDT 2022
% Result : Unsatisfiable 0.76s 1.33s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL111-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.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 12:10:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.33 *** allocated 10000 integers for termspace/termends
% 0.76/1.33 *** allocated 10000 integers for clauses
% 0.76/1.33 *** allocated 10000 integers for justifications
% 0.76/1.33 Bliksem 1.12
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 Automatic Strategy Selection
% 0.76/1.33
% 0.76/1.33 Clauses:
% 0.76/1.33 [
% 0.76/1.33 [ =( implies( truth, X ), X ) ],
% 0.76/1.33 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.76/1.33 ) ), truth ) ],
% 0.76/1.33 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.76/1.33 ,
% 0.76/1.33 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.76/1.33 ],
% 0.76/1.33 [ ~( =( implies( implies( x, y ), implies( implies( z, x ), implies( z,
% 0.76/1.33 y ) ) ), truth ) ) ]
% 0.76/1.33 ] .
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 percentage equality = 1.000000, percentage horn = 1.000000
% 0.76/1.33 This is a pure equality problem
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 Options Used:
% 0.76/1.33
% 0.76/1.33 useres = 1
% 0.76/1.33 useparamod = 1
% 0.76/1.33 useeqrefl = 1
% 0.76/1.33 useeqfact = 1
% 0.76/1.33 usefactor = 1
% 0.76/1.33 usesimpsplitting = 0
% 0.76/1.33 usesimpdemod = 5
% 0.76/1.33 usesimpres = 3
% 0.76/1.33
% 0.76/1.33 resimpinuse = 1000
% 0.76/1.33 resimpclauses = 20000
% 0.76/1.33 substype = eqrewr
% 0.76/1.33 backwardsubs = 1
% 0.76/1.33 selectoldest = 5
% 0.76/1.33
% 0.76/1.33 litorderings [0] = split
% 0.76/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.33
% 0.76/1.33 termordering = kbo
% 0.76/1.33
% 0.76/1.33 litapriori = 0
% 0.76/1.33 termapriori = 1
% 0.76/1.33 litaposteriori = 0
% 0.76/1.33 termaposteriori = 0
% 0.76/1.33 demodaposteriori = 0
% 0.76/1.33 ordereqreflfact = 0
% 0.76/1.33
% 0.76/1.33 litselect = negord
% 0.76/1.33
% 0.76/1.33 maxweight = 15
% 0.76/1.33 maxdepth = 30000
% 0.76/1.33 maxlength = 115
% 0.76/1.33 maxnrvars = 195
% 0.76/1.33 excuselevel = 1
% 0.76/1.33 increasemaxweight = 1
% 0.76/1.33
% 0.76/1.33 maxselected = 10000000
% 0.76/1.33 maxnrclauses = 10000000
% 0.76/1.33
% 0.76/1.33 showgenerated = 0
% 0.76/1.33 showkept = 0
% 0.76/1.33 showselected = 0
% 0.76/1.33 showdeleted = 0
% 0.76/1.33 showresimp = 1
% 0.76/1.33 showstatus = 2000
% 0.76/1.33
% 0.76/1.33 prologoutput = 1
% 0.76/1.33 nrgoals = 5000000
% 0.76/1.33 totalproof = 1
% 0.76/1.33
% 0.76/1.33 Symbols occurring in the translation:
% 0.76/1.33
% 0.76/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.33 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.76/1.33 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.76/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.33 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.76/1.33 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.33 not [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.76/1.33 x [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.76/1.33 y [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.76/1.33 z [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 Starting Search:
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 Bliksems!, er is een bewijs:
% 0.76/1.33 % SZS status Unsatisfiable
% 0.76/1.33 % SZS output start Refutation
% 0.76/1.33
% 0.76/1.33 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.76/1.33 X, Z ) ) ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.76/1.33 ) ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.76/1.33 truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 4, [ ~( =( implies( implies( x, y ), implies( implies( z, x ),
% 0.76/1.33 implies( z, y ) ) ), truth ) ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.76/1.33 )
% 0.76/1.33 .
% 0.76/1.33 clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X ), not(
% 0.76/1.33 Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.76/1.33 )
% 0.76/1.33 .
% 0.76/1.33 clause( 20, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 0.76/1.33 ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 46, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.76/1.33 implies( X, Z ) ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 62, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.76/1.33 , truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 71, [ =( implies( not( truth ), X ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 72, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 75, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.76/1.33 )
% 0.76/1.33 .
% 0.76/1.33 clause( 85, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.76/1.33 )
% 0.76/1.33 .
% 0.76/1.33 clause( 93, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.76/1.33 )
% 0.76/1.33 .
% 0.76/1.33 clause( 98, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 105, [ =( not( not( X ) ), X ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 107, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) ) )
% 0.76/1.33 , truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 166, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies( X
% 0.76/1.33 , Y ), not( X ) ) ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 567, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.76/1.33 implies( X, Y ) ) ), X ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 845, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.76/1.33 implies( Z, Y ) ) ), truth ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 929, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z
% 0.76/1.33 ) ) ) ] )
% 0.76/1.33 .
% 0.76/1.33 clause( 989, [] )
% 0.76/1.33 .
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 % SZS output end Refutation
% 0.76/1.33 found a proof!
% 0.76/1.33
% 0.76/1.33 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.33
% 0.76/1.33 initialclauses(
% 0.76/1.33 [ clause( 991, [ =( implies( truth, X ), X ) ] )
% 0.76/1.33 , clause( 992, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.33 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.33 , clause( 993, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.76/1.33 , X ) ) ] )
% 0.76/1.33 , clause( 994, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.76/1.33 ), truth ) ] )
% 0.76/1.33 , clause( 995, [ ~( =( implies( implies( x, y ), implies( implies( z, x ),
% 0.76/1.33 implies( z, y ) ) ), truth ) ) ] )
% 0.76/1.33 ] ).
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 subsumption(
% 0.76/1.33 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.33 , clause( 991, [ =( implies( truth, X ), X ) ] )
% 0.76/1.33 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 subsumption(
% 0.76/1.33 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.76/1.33 X, Z ) ) ), truth ) ] )
% 0.76/1.33 , clause( 992, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.33 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.33 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 subsumption(
% 0.76/1.33 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.76/1.33 ) ) ] )
% 0.76/1.33 , clause( 993, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.76/1.33 , X ) ) ] )
% 0.76/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.33 )] ) ).
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 subsumption(
% 0.76/1.33 clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ),
% 0.76/1.33 truth ) ] )
% 0.76/1.33 , clause( 994, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.76/1.33 ), truth ) ] )
% 0.76/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.33 )] ) ).
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 subsumption(
% 0.76/1.33 clause( 4, [ ~( =( implies( implies( x, y ), implies( implies( z, x ),
% 0.76/1.33 implies( z, y ) ) ), truth ) ) ] )
% 0.76/1.33 , clause( 995, [ ~( =( implies( implies( x, y ), implies( implies( z, x ),
% 0.76/1.33 implies( z, y ) ) ), truth ) ) ] )
% 0.76/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 paramod(
% 0.76/1.33 clause( 1009, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.76/1.33 ] )
% 0.76/1.33 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.33 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.76/1.33 ), X ) ) ] )
% 0.76/1.33 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.76/1.33 , :=( Y, X )] )).
% 0.76/1.33
% 0.76/1.33
% 0.76/1.33 subsumption(
% 0.76/1.33 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 1009, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.76/1.34 ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1016, [ =( implies( implies( implies( X, Y ), implies( not( Y ),
% 0.76/1.34 not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( truth, implies( X
% 0.76/1.34 , Y ) ) ) ] )
% 0.76/1.34 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.76/1.34 , truth ) ] )
% 0.76/1.34 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.76/1.34 ), X ) ) ] )
% 0.76/1.34 , 0, 17, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.76/1.34 :=( X, implies( X, Y ) ), :=( Y, implies( not( Y ), not( X ) ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1017, [ =( implies( implies( implies( X, Y ), implies( not( Y ),
% 0.76/1.34 not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( X, Y ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1016, [ =( implies( implies( implies( X, Y ), implies( not( Y
% 0.76/1.34 ), not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( truth,
% 0.76/1.34 implies( X, Y ) ) ) ] )
% 0.76/1.34 , 0, 16, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 0.76/1.34 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X ), not(
% 0.76/1.34 Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.76/1.34 , clause( 1017, [ =( implies( implies( implies( X, Y ), implies( not( Y ),
% 0.76/1.34 not( X ) ) ), implies( not( Y ), not( X ) ) ), implies( X, Y ) ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.34 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1020, [ =( truth, implies( implies( not( X ), not( Y ) ), implies(
% 0.76/1.34 Y, X ) ) ) ] )
% 0.76/1.34 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.76/1.34 , truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1021, [ =( truth, implies( implies( not( X ), not( truth ) ), X ) )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1020, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.76/1.34 implies( Y, X ) ) ) ] )
% 0.76/1.34 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.34 :=( Y, truth )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1022, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 1021, [ =( truth, implies( implies( not( X ), not( truth ) ), X )
% 0.76/1.34 ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 1022, [ =( implies( implies( not( X ), not( truth ) ), X ), truth
% 0.76/1.34 ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1023, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.76/1.34 ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1027, [ =( truth, implies( truth, implies( implies( implies(
% 0.76/1.34 implies( Y, Z ), implies( X, Z ) ), T ), implies( implies( X, Y ), T ) )
% 0.76/1.34 ) ) ] )
% 0.76/1.34 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , 0, clause( 1023, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.76/1.34 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.34 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies( Y,
% 0.76/1.34 Z ), implies( X, Z ) ) ), :=( Z, T )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1033, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.76/1.34 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1027, [ =( truth, implies( truth, implies( implies( implies(
% 0.76/1.34 implies( Y, Z ), implies( X, Z ) ), T ), implies( implies( X, Y ), T ) )
% 0.76/1.34 ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y
% 0.76/1.34 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) )] ),
% 0.76/1.34 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1034, [ =( implies( implies( implies( implies( X, Y ), implies( Z,
% 0.76/1.34 Y ) ), T ), implies( implies( Z, X ), T ) ), truth ) ] )
% 0.76/1.34 , clause( 1033, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.76/1.34 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.76/1.34 ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 20, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 0.76/1.34 ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.76/1.34 , clause( 1034, [ =( implies( implies( implies( implies( X, Y ), implies( Z
% 0.76/1.34 , Y ) ), T ), implies( implies( Z, X ), T ) ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 0.76/1.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1036, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.76/1.34 ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1040, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.76/1.34 , Y ), Y ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1036, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.76/1.34 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.76/1.34 ), :=( Y, X ), :=( Z, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1042, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1040, [ =( truth, implies( implies( truth, X ), implies(
% 0.76/1.34 implies( X, Y ), Y ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.34 :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1043, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 1042, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.76/1.34 )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.76/1.34 , clause( 1043, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.76/1.34 )
% 0.76/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.34 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1045, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.76/1.34 ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1050, [ =( truth, implies( truth, implies( implies( implies(
% 0.76/1.34 implies( X, Y ), Y ), Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.76/1.34 )
% 0.76/1.34 , 0, clause( 1045, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.76/1.34 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.34 :=( X, X ), :=( Y, implies( implies( X, Y ), Y ) ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1056, [ =( truth, implies( implies( implies( implies( X, Y ), Y ),
% 0.76/1.34 Z ), implies( X, Z ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1050, [ =( truth, implies( truth, implies( implies( implies(
% 0.76/1.34 implies( X, Y ), Y ), Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y
% 0.76/1.34 ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 0.76/1.34 Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1057, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.76/1.34 implies( X, Z ) ), truth ) ] )
% 0.76/1.34 , clause( 1056, [ =( truth, implies( implies( implies( implies( X, Y ), Y )
% 0.76/1.34 , Z ), implies( X, Z ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 46, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.76/1.34 implies( X, Z ) ), truth ) ] )
% 0.76/1.34 , clause( 1057, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.76/1.34 implies( X, Z ) ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1058, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.76/1.34 )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1062, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1058, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 0.76/1.34 ) ] )
% 0.76/1.34 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.76/1.34 , :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1064, [ =( truth, implies( X, X ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1062, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.76/1.34 :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1065, [ =( implies( X, X ), truth ) ] )
% 0.76/1.34 , clause( 1064, [ =( truth, implies( X, X ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.76/1.34 , clause( 1065, [ =( implies( X, X ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1066, [ =( truth, implies( X, X ) ) ] )
% 0.76/1.34 , clause( 57, [ =( implies( X, X ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1068, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.76/1.34 , clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.76/1.34 ] )
% 0.76/1.34 , 0, clause( 1066, [ =( truth, implies( X, X ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.34 ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1069, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.76/1.34 , clause( 1068, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.76/1.34 , clause( 1069, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1071, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 44, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.76/1.34 )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1072, [ =( truth, implies( X, truth ) ) ] )
% 0.76/1.34 , clause( 59, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.76/1.34 , 0, clause( 1071, [ =( truth, implies( X, implies( implies( X, Y ), Y ) )
% 0.76/1.34 ) ] )
% 0.76/1.34 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.34 :=( Y, truth )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1074, [ =( implies( X, truth ), truth ) ] )
% 0.76/1.34 , clause( 1072, [ =( truth, implies( X, truth ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.76/1.34 , clause( 1074, [ =( implies( X, truth ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1077, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.76/1.34 ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1080, [ =( truth, implies( truth, implies( implies( truth, Y ),
% 0.76/1.34 implies( X, Y ) ) ) ) ] )
% 0.76/1.34 , clause( 60, [ =( implies( X, truth ), truth ) ] )
% 0.76/1.34 , 0, clause( 1077, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.76/1.34 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.34 :=( Y, truth ), :=( Z, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1089, [ =( truth, implies( truth, implies( X, implies( Y, X ) ) ) )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1080, [ =( truth, implies( truth, implies( implies( truth, Y )
% 0.76/1.34 , implies( X, Y ) ) ) ) ] )
% 0.76/1.34 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.76/1.34 :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1091, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1089, [ =( truth, implies( truth, implies( X, implies( Y, X )
% 0.76/1.34 ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) )] ),
% 0.76/1.34 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1092, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.76/1.34 , clause( 1091, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.76/1.34 , clause( 1092, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.34 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1094, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.76/1.34 ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1099, [ =( truth, implies( truth, implies( implies( implies( Y, X )
% 0.76/1.34 , Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 61, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.76/1.34 , 0, clause( 1094, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.76/1.34 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.76/1.34 :=( X, X ), :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1104, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.76/1.34 Y, Z ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1099, [ =( truth, implies( truth, implies( implies( implies( Y
% 0.76/1.34 , X ), Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.76/1.34 implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z
% 0.76/1.34 , Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1105, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z )
% 0.76/1.34 ), truth ) ] )
% 0.76/1.34 , clause( 1104, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.76/1.34 Y, Z ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 62, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z ) )
% 0.76/1.34 , truth ) ] )
% 0.76/1.34 , clause( 1105, [ =( implies( implies( implies( X, Y ), Z ), implies( Y, Z
% 0.76/1.34 ) ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.76/1.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1107, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.76/1.34 Y, Z ) ) ) ] )
% 0.76/1.34 , clause( 62, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.76/1.34 ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1109, [ =( truth, implies( truth, implies( not( truth ), X ) ) ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.76/1.34 ] )
% 0.76/1.34 , 0, clause( 1107, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.76/1.34 implies( Y, Z ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.76/1.34 ) ), :=( Y, not( truth ) ), :=( Z, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1114, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1109, [ =( truth, implies( truth, implies( not( truth ), X ) )
% 0.76/1.34 ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( not( truth ), X ) )] ),
% 0.76/1.34 substitution( 1, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1115, [ =( implies( not( truth ), X ), truth ) ] )
% 0.76/1.34 , clause( 1114, [ =( truth, implies( not( truth ), X ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 71, [ =( implies( not( truth ), X ), truth ) ] )
% 0.76/1.34 , clause( 1115, [ =( implies( not( truth ), X ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1117, [ =( truth, implies( implies( implies( X, Y ), Z ), implies(
% 0.76/1.34 Y, Z ) ) ) ] )
% 0.76/1.34 , clause( 62, [ =( implies( implies( implies( Y, X ), Z ), implies( X, Z )
% 0.76/1.34 ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1120, [ =( truth, implies( truth, implies( not( Y ), implies( Y, X
% 0.76/1.34 ) ) ) ) ] )
% 0.76/1.34 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.76/1.34 , truth ) ] )
% 0.76/1.34 , 0, clause( 1117, [ =( truth, implies( implies( implies( X, Y ), Z ),
% 0.76/1.34 implies( Y, Z ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.34 :=( X, not( X ) ), :=( Y, not( Y ) ), :=( Z, implies( Y, X ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1125, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1120, [ =( truth, implies( truth, implies( not( Y ), implies(
% 0.76/1.34 Y, X ) ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) )] )
% 0.76/1.34 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1126, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.76/1.34 , clause( 1125, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 72, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.76/1.34 , clause( 1126, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.34 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1130, [ =( implies( implies( X, not( truth ) ), not( truth ) ),
% 0.76/1.34 implies( truth, X ) ) ] )
% 0.76/1.34 , clause( 71, [ =( implies( not( truth ), X ), truth ) ] )
% 0.76/1.34 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.76/1.34 ), X ) ) ] )
% 0.76/1.34 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.34 :=( Y, not( truth ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1131, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1130, [ =( implies( implies( X, not( truth ) ), not( truth ) )
% 0.76/1.34 , implies( truth, X ) ) ] )
% 0.76/1.34 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.34 ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 75, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 1131, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X
% 0.76/1.34 ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1134, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.76/1.34 , clause( 72, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1135, [ =( truth, implies( not( implies( X, not( truth ) ) ), X ) )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 75, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.76/1.34 ] )
% 0.76/1.34 , 0, clause( 1134, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 0.76/1.34 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 0.76/1.34 X, not( truth ) ) ), :=( Y, not( truth ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1136, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 1135, [ =( truth, implies( not( implies( X, not( truth ) ) ), X )
% 0.76/1.34 ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 85, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 1136, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth
% 0.76/1.34 ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1138, [ =( truth, implies( implies( not( X ), not( Y ) ), implies(
% 0.76/1.34 Y, X ) ) ) ] )
% 0.76/1.34 , clause( 3, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) )
% 0.76/1.34 , truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1140, [ =( truth, implies( truth, implies( X, implies( not( X ),
% 0.76/1.34 not( truth ) ) ) ) ) ] )
% 0.76/1.34 , clause( 85, [ =( implies( not( implies( X, not( truth ) ) ), X ), truth )
% 0.76/1.34 ] )
% 0.76/1.34 , 0, clause( 1138, [ =( truth, implies( implies( not( X ), not( Y ) ),
% 0.76/1.34 implies( Y, X ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.76/1.34 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1142, [ =( truth, implies( X, implies( not( X ), not( truth ) ) ) )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1140, [ =( truth, implies( truth, implies( X, implies( not( X
% 0.76/1.34 ), not( truth ) ) ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( not( X ), not( truth
% 0.76/1.34 ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1143, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 1142, [ =( truth, implies( X, implies( not( X ), not( truth ) ) )
% 0.76/1.34 ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 93, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth ) ]
% 0.76/1.34 )
% 0.76/1.34 , clause( 1143, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth
% 0.76/1.34 ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1149, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.76/1.34 , X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.76/1.34 , clause( 93, [ =( implies( X, implies( not( X ), not( truth ) ) ), truth )
% 0.76/1.34 ] )
% 0.76/1.34 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.76/1.34 ), X ) ) ] )
% 0.76/1.34 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.76/1.34 implies( not( X ), not( truth ) ) ), :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1150, [ =( implies( implies( implies( not( X ), not( truth ) ), X )
% 0.76/1.34 , X ), implies( not( X ), not( truth ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1149, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.76/1.34 , X ), X ), implies( truth, implies( not( X ), not( truth ) ) ) ) ] )
% 0.76/1.34 , 0, 10, substitution( 0, [ :=( X, implies( not( X ), not( truth ) ) )] ),
% 0.76/1.34 substitution( 1, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1151, [ =( implies( truth, X ), implies( not( X ), not( truth ) ) )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 14, [ =( implies( implies( not( X ), not( truth ) ), X ), truth )
% 0.76/1.34 ] )
% 0.76/1.34 , 0, clause( 1150, [ =( implies( implies( implies( not( X ), not( truth ) )
% 0.76/1.34 , X ), X ), implies( not( X ), not( truth ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.34 ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1152, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1151, [ =( implies( truth, X ), implies( not( X ), not( truth
% 0.76/1.34 ) ) ) ] )
% 0.76/1.34 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.34 ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1153, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.76/1.34 , clause( 1152, [ =( X, implies( not( X ), not( truth ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 98, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.76/1.34 , clause( 1153, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1155, [ =( X, implies( implies( X, not( truth ) ), not( truth ) ) )
% 0.76/1.34 ] )
% 0.76/1.34 , clause( 75, [ =( implies( implies( X, not( truth ) ), not( truth ) ), X )
% 0.76/1.34 ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1156, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.76/1.34 , clause( 98, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.76/1.34 , 0, clause( 1155, [ =( X, implies( implies( X, not( truth ) ), not( truth
% 0.76/1.34 ) ) ) ] )
% 0.76/1.34 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.76/1.34 ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1157, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.76/1.34 , clause( 1156, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.76/1.34 , clause( 1157, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1158, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.76/1.34 , clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1160, [ =( not( not( X ) ), X ) ] )
% 0.76/1.34 , clause( 98, [ =( implies( not( X ), not( truth ) ), X ) ] )
% 0.76/1.34 , 0, clause( 1158, [ =( not( X ), implies( X, not( truth ) ) ) ] )
% 0.76/1.34 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 0.76/1.34 ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 105, [ =( not( not( X ) ), X ) ] )
% 0.76/1.34 , clause( 1160, [ =( not( not( X ) ), X ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1163, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 0.76/1.34 ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1167, [ =( truth, implies( implies( X, Y ), implies( implies( Y,
% 0.76/1.34 not( truth ) ), not( X ) ) ) ) ] )
% 0.76/1.34 , clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.76/1.34 , 0, clause( 1163, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.76/1.34 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.34 :=( Y, Y ), :=( Z, not( truth ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1169, [ =( truth, implies( implies( X, Y ), implies( not( Y ), not(
% 0.76/1.34 X ) ) ) ) ] )
% 0.76/1.34 , clause( 99, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 0.76/1.34 , 0, clause( 1167, [ =( truth, implies( implies( X, Y ), implies( implies(
% 0.76/1.34 Y, not( truth ) ), not( X ) ) ) ) ] )
% 0.76/1.34 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.34 :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1170, [ =( implies( implies( X, Y ), implies( not( Y ), not( X ) )
% 0.76/1.34 ), truth ) ] )
% 0.76/1.34 , clause( 1169, [ =( truth, implies( implies( X, Y ), implies( not( Y ),
% 0.76/1.34 not( X ) ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 107, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) ) )
% 0.76/1.34 , truth ) ] )
% 0.76/1.34 , clause( 1170, [ =( implies( implies( X, Y ), implies( not( Y ), not( X )
% 0.76/1.34 ) ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.34 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1174, [ =( implies( truth, implies( not( Y ), not( X ) ) ), implies(
% 0.76/1.34 X, Y ) ) ] )
% 0.76/1.34 , clause( 107, [ =( implies( implies( Y, X ), implies( not( X ), not( Y ) )
% 0.76/1.34 ), truth ) ] )
% 0.76/1.34 , 0, clause( 12, [ =( implies( implies( implies( Y, X ), implies( not( X )
% 0.76/1.34 , not( Y ) ) ), implies( not( X ), not( Y ) ) ), implies( Y, X ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.76/1.34 :=( X, Y ), :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1175, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1174, [ =( implies( truth, implies( not( Y ), not( X ) ) ),
% 0.76/1.34 implies( X, Y ) ) ] )
% 0.76/1.34 , 0, 1, substitution( 0, [ :=( X, implies( not( X ), not( Y ) ) )] ),
% 0.76/1.34 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.76/1.34 , clause( 1175, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.34 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1184, [ =( implies( implies( not( X ), not( Y ) ), not( Y ) ),
% 0.76/1.34 implies( implies( X, Y ), not( X ) ) ) ] )
% 0.76/1.34 , clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.76/1.34 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.76/1.34 ), X ) ) ] )
% 0.76/1.34 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.76/1.34 :=( X, not( X ) ), :=( Y, not( Y ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1186, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies(
% 0.76/1.34 X, Y ), not( X ) ) ) ] )
% 0.76/1.34 , clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.76/1.34 , 0, clause( 1184, [ =( implies( implies( not( X ), not( Y ) ), not( Y ) )
% 0.76/1.34 , implies( implies( X, Y ), not( X ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.34 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 166, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies( X
% 0.76/1.34 , Y ), not( X ) ) ) ] )
% 0.76/1.34 , clause( 1186, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies(
% 0.76/1.34 X, Y ), not( X ) ) ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.34 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1192, [ =( implies( implies( not( X ), implies( X, Y ) ), not( not(
% 0.76/1.34 X ) ) ), implies( implies( implies( Y, X ), not( Y ) ), not( implies( X,
% 0.76/1.34 Y ) ) ) ) ] )
% 0.76/1.34 , clause( 166, [ =( implies( implies( Y, X ), not( Y ) ), implies( implies(
% 0.76/1.34 X, Y ), not( X ) ) ) ] )
% 0.76/1.34 , 0, clause( 166, [ =( implies( implies( Y, X ), not( Y ) ), implies(
% 0.76/1.34 implies( X, Y ), not( X ) ) ) ] )
% 0.76/1.34 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.76/1.34 :=( X, implies( X, Y ) ), :=( Y, not( X ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1199, [ =( implies( truth, not( not( X ) ) ), implies( implies(
% 0.76/1.34 implies( Y, X ), not( Y ) ), not( implies( X, Y ) ) ) ) ] )
% 0.76/1.34 , clause( 72, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 0.76/1.34 , 0, clause( 1192, [ =( implies( implies( not( X ), implies( X, Y ) ), not(
% 0.76/1.34 not( X ) ) ), implies( implies( implies( Y, X ), not( Y ) ), not( implies(
% 0.76/1.34 X, Y ) ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.76/1.34 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1200, [ =( not( not( X ) ), implies( implies( implies( Y, X ), not(
% 0.76/1.34 Y ) ), not( implies( X, Y ) ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1199, [ =( implies( truth, not( not( X ) ) ), implies( implies(
% 0.76/1.34 implies( Y, X ), not( Y ) ), not( implies( X, Y ) ) ) ) ] )
% 0.76/1.34 , 0, 1, substitution( 0, [ :=( X, not( not( X ) ) )] ), substitution( 1, [
% 0.76/1.34 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1201, [ =( X, implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.76/1.34 implies( X, Y ) ) ) ) ] )
% 0.76/1.34 , clause( 105, [ =( not( not( X ) ), X ) ] )
% 0.76/1.34 , 0, clause( 1200, [ =( not( not( X ) ), implies( implies( implies( Y, X )
% 0.76/1.34 , not( Y ) ), not( implies( X, Y ) ) ) ) ] )
% 0.76/1.34 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.34 :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1202, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.76/1.34 implies( X, Y ) ) ), X ) ] )
% 0.76/1.34 , clause( 1201, [ =( X, implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.76/1.34 implies( X, Y ) ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 567, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.76/1.34 implies( X, Y ) ) ), X ) ] )
% 0.76/1.34 , clause( 1202, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.76/1.34 implies( X, Y ) ) ), X ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.34 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1204, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.76/1.34 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.34 , clause( 20, [ =( implies( implies( implies( implies( Y, Z ), implies( X,
% 0.76/1.34 Z ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.76/1.34 ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1213, [ =( truth, implies( truth, implies( implies( Z, implies( X,
% 0.76/1.34 Y ) ), implies( X, implies( Z, Y ) ) ) ) ) ] )
% 0.76/1.34 , clause( 46, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.76/1.34 implies( X, Z ) ), truth ) ] )
% 0.76/1.34 , 0, clause( 1204, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.76/1.34 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( Z, Y ) )] )
% 0.76/1.34 , substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z, Z ),
% 0.76/1.34 :=( T, implies( X, implies( Z, Y ) ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1225, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies(
% 0.76/1.34 Y, implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1213, [ =( truth, implies( truth, implies( implies( Z, implies(
% 0.76/1.34 X, Y ) ), implies( X, implies( Z, Y ) ) ) ) ) ] )
% 0.76/1.34 , 0, 2, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 0.76/1.34 implies( Y, implies( X, Z ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 0.76/1.34 Y, Z ), :=( Z, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1226, [ =( implies( implies( X, implies( Y, Z ) ), implies( Y,
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , clause( 1225, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies(
% 0.76/1.34 Y, implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 845, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.76/1.34 implies( Z, Y ) ) ), truth ) ] )
% 0.76/1.34 , clause( 1226, [ =( implies( implies( X, implies( Y, Z ) ), implies( Y,
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.76/1.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1228, [ =( Y, implies( implies( implies( X, Y ), not( X ) ), not(
% 0.76/1.34 implies( Y, X ) ) ) ) ] )
% 0.76/1.34 , clause( 567, [ =( implies( implies( implies( Y, X ), not( Y ) ), not(
% 0.76/1.34 implies( X, Y ) ) ), X ) ] )
% 0.76/1.34 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1235, [ =( implies( X, implies( Y, Z ) ), implies( implies( truth,
% 0.76/1.34 not( implies( Y, implies( X, Z ) ) ) ), not( implies( implies( X, implies(
% 0.76/1.34 Y, Z ) ), implies( Y, implies( X, Z ) ) ) ) ) ) ] )
% 0.76/1.34 , clause( 845, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.76/1.34 implies( Z, Y ) ) ), truth ) ] )
% 0.76/1.34 , 0, clause( 1228, [ =( Y, implies( implies( implies( X, Y ), not( X ) ),
% 0.76/1.34 not( implies( Y, X ) ) ) ) ] )
% 0.76/1.34 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.76/1.34 substitution( 1, [ :=( X, implies( Y, implies( X, Z ) ) ), :=( Y, implies(
% 0.76/1.34 X, implies( Y, Z ) ) )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1240, [ =( implies( X, implies( Y, Z ) ), implies( not( implies( Y
% 0.76/1.34 , implies( X, Z ) ) ), not( implies( implies( X, implies( Y, Z ) ),
% 0.76/1.34 implies( Y, implies( X, Z ) ) ) ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1235, [ =( implies( X, implies( Y, Z ) ), implies( implies(
% 0.76/1.34 truth, not( implies( Y, implies( X, Z ) ) ) ), not( implies( implies( X,
% 0.76/1.34 implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) ) ) ) ] )
% 0.76/1.34 , 0, 7, substitution( 0, [ :=( X, not( implies( Y, implies( X, Z ) ) ) )] )
% 0.76/1.34 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1241, [ =( implies( X, implies( Y, Z ) ), implies( implies( implies(
% 0.76/1.34 X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ), implies( Y,
% 0.76/1.34 implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 152, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 0.76/1.34 , 0, clause( 1240, [ =( implies( X, implies( Y, Z ) ), implies( not(
% 0.76/1.34 implies( Y, implies( X, Z ) ) ), not( implies( implies( X, implies( Y, Z
% 0.76/1.34 ) ), implies( Y, implies( X, Z ) ) ) ) ) ) ] )
% 0.76/1.34 , 0, 6, substitution( 0, [ :=( X, implies( Y, implies( X, Z ) ) ), :=( Y,
% 0.76/1.34 implies( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.76/1.34 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1242, [ =( implies( X, implies( Y, Z ) ), implies( truth, implies(
% 0.76/1.34 Y, implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , clause( 845, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.76/1.34 implies( Z, Y ) ) ), truth ) ] )
% 0.76/1.34 , 0, clause( 1241, [ =( implies( X, implies( Y, Z ) ), implies( implies(
% 0.76/1.34 implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ), implies(
% 0.76/1.34 Y, implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.76/1.34 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1243, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z
% 0.76/1.34 ) ) ) ] )
% 0.76/1.34 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.76/1.34 , 0, clause( 1242, [ =( implies( X, implies( Y, Z ) ), implies( truth,
% 0.76/1.34 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.76/1.34 , 0, 6, substitution( 0, [ :=( X, implies( Y, implies( X, Z ) ) )] ),
% 0.76/1.34 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 929, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z
% 0.76/1.34 ) ) ) ] )
% 0.76/1.34 , clause( 1243, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X
% 0.76/1.34 , Z ) ) ) ] )
% 0.76/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqswap(
% 0.76/1.34 clause( 1244, [ ~( =( truth, implies( implies( x, y ), implies( implies( z
% 0.76/1.34 , x ), implies( z, y ) ) ) ) ) ] )
% 0.76/1.34 , clause( 4, [ ~( =( implies( implies( x, y ), implies( implies( z, x ),
% 0.76/1.34 implies( z, y ) ) ), truth ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1246, [ ~( =( truth, implies( implies( z, x ), implies( implies( x
% 0.76/1.34 , y ), implies( z, y ) ) ) ) ) ] )
% 0.76/1.34 , clause( 929, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X,
% 0.76/1.34 Z ) ) ) ] )
% 0.76/1.34 , 0, clause( 1244, [ ~( =( truth, implies( implies( x, y ), implies(
% 0.76/1.34 implies( z, x ), implies( z, y ) ) ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, implies( x, y ) ), :=( Y, implies( z, x )
% 0.76/1.34 ), :=( Z, implies( z, y ) )] ), substitution( 1, [] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 paramod(
% 0.76/1.34 clause( 1252, [ ~( =( truth, truth ) ) ] )
% 0.76/1.34 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.34 implies( X, Z ) ) ), truth ) ] )
% 0.76/1.34 , 0, clause( 1246, [ ~( =( truth, implies( implies( z, x ), implies(
% 0.76/1.34 implies( x, y ), implies( z, y ) ) ) ) ) ] )
% 0.76/1.34 , 0, 3, substitution( 0, [ :=( X, z ), :=( Y, x ), :=( Z, y )] ),
% 0.76/1.34 substitution( 1, [] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 eqrefl(
% 0.76/1.34 clause( 1253, [] )
% 0.76/1.34 , clause( 1252, [ ~( =( truth, truth ) ) ] )
% 0.76/1.34 , 0, substitution( 0, [] )).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 subsumption(
% 0.76/1.34 clause( 989, [] )
% 0.76/1.34 , clause( 1253, [] )
% 0.76/1.34 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 end.
% 0.76/1.34
% 0.76/1.34 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.34
% 0.76/1.34 Memory use:
% 0.76/1.34
% 0.76/1.34 space for terms: 13928
% 0.76/1.34 space for clauses: 108321
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 clauses generated: 47281
% 0.76/1.34 clauses kept: 990
% 0.76/1.34 clauses selected: 148
% 0.76/1.34 clauses deleted: 47
% 0.76/1.34 clauses inuse deleted: 0
% 0.76/1.34
% 0.76/1.34 subsentry: 1151
% 0.76/1.34 literals s-matched: 684
% 0.76/1.34 literals matched: 645
% 0.76/1.34 full subsumption: 0
% 0.76/1.34
% 0.76/1.34 checksum: -1056546538
% 0.76/1.34
% 0.76/1.34
% 0.76/1.34 Bliksem ended
%------------------------------------------------------------------------------